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/guilsinglleft 173 /guilsinglright 174 /fi 175 /fl 176 /plusminus 177 /endash 178 /dagger 179 /daggerdbl 180 /periodcentered 181 /twosuperior 182 /paragraph 183 /bullet 184 /quotesinglebase 185 /quotedblbase 186 /quotedblright 187 /guillemotright 188 /ellipsis 189 /perthousand 190 /threesuperior 191 /questiondown 192 /mu 193 /grave 194 /acute 195 /circumflex 196 /tilde 197 /macron 198 /breve 199 /dotaccent 200 /dieresis 201 /onesuperior 202 /ring 203 /cedilla 204 /onequarter 205 /hungarumlaut 206 /ogonek 207 /caron 208 /emdash 209 /ccedilla 210 /copyright 211 /eacute 212 /ecircumflex 213 /edieresis 214 /egrave 215 /iacute 216 /icircumflex 217 /idieresis 218 /igrave 219 /logicalnot 220 /minus 221 /ntilde 222 /oacute 223 /ocircumflex 224 /odieresis 225 /AE 226 /onehalf 227 /ordfeminine 228 /ograve 229 /otilde 230 /registered 231 /scaron 232 /Lslash 233 /Oslash 234 /OE 235 /ordmasculine 236 /trademark 237 /uacute 238 /ucircumflex 239 /udieresis 240 /ugrave 241 /ae 242 /ydieresis 243 /zcaron 244 /Aacute 245 /dotlessi 246 /threequarters 247 /Eth 248 /lslash 249 /oslash 250 /oe 251 /germandbls 252 /multiply 253 /Yacute 254 /Thorn 255 /eth ] def /extended_Symbol [ ] def /extend_font { % stack: fontname newfontname E dup (ZapfDingbats) eq { cvn E cvn extended_Zapf ReencodeSmall } { dup (Symbol) eq { cvn E cvn extended_Symbol ReencodeSmall } { cvn E cvn extended_Standard ReencodeSmall } ifelse } ifelse } bind def /getfont { /f E def f cvn where % { begin f cvx cvn exec SF end } { begin f cvn load exec SF end } % { f 0 f length 8 sub getinterval (LocalFont) extend_font %/LocalFont FF { f 0 f length 8 sub getinterval dup dup length 1 add string /localfont exch def localfont exch 0 exch putinterval localfont dup length 1 sub (X) putinterval localfont extend_font localfont FF /xsz f f length 4 sub 4 getinterval cvi def /ysz f f length 8 sub 4 getinterval cvi def [ xsz 0 0 ysz neg 0 0 ] MF dup f cvn E def SF } ifelse } bind def /ul { % space drop thickness GS currentpoint 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(regression)g(mo)q(del)h(is)f(giv)o(en)224 1935 y(as)f(follo)o(ws)554 1992 y Fo(P)6 b Fu(\()p Fo(y)r Fm(j)p Fn(x)p Fu(\))12 b(=)h Fo(\025P)6 b Fu(\()p Fo(y)r Fm(j)p Fn(x)p Fo(;)i Fk(\022)941 1999 y Fq(1)961 1992 y Fu(\))h(+)i(\(1)e Fm(\000)i Fo(\025)p Fu(\))p Fo(P)6 b Fu(\()p Fo(y)r Fm(j)p Fn(x)p Fo(;)i Fk(\022)1338 1999 y Fq(2)1358 1992 y Fu(\))p Fo(;)271 b Fu(\(7\))224 2075 y(where)16 b(the)g Fo(P)6 b Fu(\()p Fo(y)r Fm(j)p Fn(x)p Fo(;)i Fk(\022)600 2082 y Fq(1)619 2075 y Fu(\))16 b(are)f(univ)m(ariate)i(Gaussians)f(and)g (the)g(mean)g(of)f(eac)o(h)h(Gaus-)224 2131 y(sian)j(is)f(assumed)g(to) f(b)q(e)i(linear)g(in)f Fn(x)p Fu(.)28 b(This)18 b(mo)q(del)h(assumes)f (that)f(the)h(data)f(pair)224 2188 y Fm(f)p Fo(y)r(;)8 b Fn(x)p Fm(g)j Fu(is)i(generated)f(from)g(a)g(pair)h(of)f(linear)i (regression)e(mo)q(dels)i(through)e(a)g(random)224 2244 y(switc)o(h)i(whic)o(h)g(turns)g(to)f(one)g(side)i(with)f(probabilit)o (y)g Fo(\025)f Fu(and)h(to)f(the)h(other)f(side)h(with)224 2301 y(probabilit)o(y)i(1)8 b Fm(\000)g Fo(\025)p Fu(.)19 b(This)c(mo)q(del)g(can)f(b)q(e)h(generalized)h(to)e(allo)o(w)g(for)g (a)g(m)o(ultinomial)224 2357 y(switc)o(h)702 2445 y Fo(P)6 b Fu(\()p Fn(y)q Fm(j)p Fn(x)p Fu(\))11 b(=)919 2389 y Fl(K)902 2402 y Fe(X)905 2500 y Fl(j)r Fq(=1)976 2445 y Fo(\013)1005 2452 y Fl(j)1023 2445 y Fo(P)6 b Fu(\()p Fn(y)q Fm(j)p Fn(x)p Fo(;)i Fk(\022)1192 2452 y Fl(j)1210 2445 y Fu(\))p Fo(;)419 b Fu(\(8\))p eop %%Page: 7 8 7 7 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures)i (of)f(exp)q(erts)609 b Fu(7)224 286 y(where)15 b Fo(\013)384 293 y Fl(j)415 286 y Fm(\025)e Fu(0)p Fo(;)534 252 y Fe(P)582 265 y Fl(K)582 300 y(j)r Fq(=1)653 286 y Fo(\013)682 293 y Fl(j)713 286 y Fu(=)g(1)h(and)h Fo(P)6 b Fu(\()p Fn(y)q Fm(j)p Fn(x)p Fo(;)i Fk(\022)1055 293 y Fl(j)1073 286 y Fu(\))14 b(is)h(giv)o(en)g(b)o(y)f(Eq.)20 b(\(1\).)e(The)d (di\013er-)224 343 y(ence)i(b)q(et)o(w)o(een)f(switc)o(hing)h 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(extremes.)224 916 y Fp(An)k(EM)g(algorithm)e(for)h(training)g(the)g (mixture)e(of)j(exp)r(erts)224 1002 y Fu(In)14 b(man)o(y)e(estimation)h (problems)g(the)g(lik)o(eliho)q(o)q(d)j(is)d(a)g(complicated)h (nonlinear)g(func-)224 1059 y(tion)h(of)f(the)g(parameters.)19 b(P)o(arameter)13 b(estimation)i(in)g(suc)o(h)g(cases)f(usually)i(in)o (v)o(olv)o(es)224 1115 y(some)21 b(sort)f(of)g(n)o(umerical)j (optimization)f(tec)o(hnique,)h(t)o(ypically)f(gradien)o(t)f(ascen)o (t.)224 1171 y(An)j(alternativ)o(e)g(to)f(gradien)o(t)h(tec)o(hniques,) j(applicable)f(in)f(man)o(y)e(situations,)j(is)224 1228 y(the)20 b(\\Exp)q(ectation-Maximization")g(or)f(\\EM")f(algorithm)h (\(Baum,)h(et)f(al.,)h(1970;)224 1284 y(Dempster,)c(et)f(al.,)h (1977\).)21 b(EM)15 b(is)i(based)f(on)g(the)g(idea)h(of)e(solving)i(a)f (succession)h(of)224 1341 y(simpli\014ed)i(problems)e(that)e(are)h (obtained)h(b)o(y)g(augmen)o(ting)f(the)g(original)h(observ)o(ed)224 1397 y(v)m(ariables)d(with)f(a)f(set)g(of)g(additional)i(\\hidden")f(v) m(ariables.)21 b(Unconditional)14 b(mixture)224 1454 y(mo)q(dels)k(are)g(particularly)g(amenable)h(to)d(the)i(EM)f(approac)o (h)g(\(Redner)h(&)g(W)l(alk)o(er,)224 1510 y(1984\))9 b(and,)j(as)e(observ)o(ed)h(b)o(y)g(Jordan)g(and)g(Jacobs)f(\(1994\),)g (the)h(conditional)h(mixture)224 1567 y(of)j(exp)q(erts)g(mo)q(del)h (is)g(also)f(amenable)h(to)f(an)g(EM)g(approac)o(h.)295 1623 y(Giv)o(en)j(an)h(observ)o(ed)f(data)f(set)h Fm(Y)t Fu(,)h(w)o(e)f(augmen)o(t)g Fm(Y)k Fu(with)c(a)g(set)g(of)g(additional) 224 1680 y(v)m(ariables)d Fm(Y)441 1687 y Fl(mis)503 1680 y Fu(,)e(called)i(\\missing")f(or)f(\\hidden")h(v)m(ariables,)h (and)f(consider)g(a)f(maxi-)224 1736 y(m)o(um)f(lik)o(eliho)q(o)q(d)k (problem)d(for)f(a)g(\\complete-data")h(set)f Fm(Z)k Fu(=)d Fm(fY)t Fo(;)8 b Fm(Y)1429 1743 y Fl(mis)1490 1736 y Fm(g)13 b Fu(\(cf.)18 b(Little)224 1792 y(&)d(Rubin,)g(1987\).)j (W)l(e)d(c)o(ho)q(ose)f(the)g(missing)h(v)m(ariables)g(in)g(suc)o(h)g (a)f(w)o(a)o(y)f(that)g(the)h(re-)224 1849 y(sulting)e(\\complete-data) g(log)f(lik)o(eliho)q(o)q(d,")j(giv)o(en)e(b)o(y)f Fo(l)1180 1856 y Fl(c)1197 1849 y Fu(\()p Fn(\002)o Fo(;)d Fm(Z)t Fu(\))j(=)i(ln)8 b Fo(P)e Fu(\()p Fm(Y)t Fo(;)i Fm(Y)1573 1856 y Fl(mis)1635 1849 y Fm(j)p Fn(\002)o Fu(\),)224 1905 y(is)13 b(easy)f(to)g(maximize)h(with)g(resp)q(ect)g(to)e Fn(\002)p Fu(.)19 b(The)12 b(probabilit)o(y)i(mo)q(del)f Fo(P)6 b Fu(\()p Fm(Y)t Fo(;)i Fm(Y)1586 1912 y Fl(mis)1648 1905 y Fm(j)p Fn(\002)o Fu(\))224 1962 y(m)o(ust)13 b(b)q(e)g(c)o (hosen)h(so)e(that)h(its)g(marginal)g(distribution)i(across)d Fm(Y)t Fu(,)i(referred)f(to)f(in)i(this)224 2018 y(con)o(text)h(as)g (the)g(\\incomplete-data")h(lik)o(eliho)q(o)q(d,)h(is)f(the)f(original) i(lik)o(eliho)q(o)q(d)636 2139 y Fo(P)6 b Fu(\()p Fm(Y)t(j)p Fn(\002)p Fu(\))12 b(=)855 2077 y Fe(Z)908 2139 y Fo(P)6 b Fu(\()p Fm(Y)t Fo(;)i Fm(Y)1046 2146 y Fl(mis)1107 2139 y Fm(j)p Fn(\002)p Fu(\))p Fo(d)p Fm(Y)1233 2146 y Fl(mis)1294 2139 y Fo(:)353 b Fu(\(9\))224 2259 y(In)21 b(deriving)h(an)e(up)q(date)h(to)e(the)i(parameters)e(based)i(on)f(the) g(complete-data)g(log)224 2316 y(lik)o(eliho)q(o)q(d,)15 b(w)o(e)c(\014rst)g(note)g(that)g(w)o(e)g(cannot)h(w)o(ork)e(directly)j (with)f(the)f(complete-data)224 2372 y(log)18 b(lik)o(eliho)q(o)q(d,)k (b)q(ecause)d(this)f(lik)o(eliho)q(o)q(d)j(is)e(a)e(random)h(function)h (of)e(the)i(missing)224 2429 y(random)12 b(v)m(ariables)h Fm(Y)603 2436 y Fl(mis)665 2429 y Fu(.)18 b(The)12 b(idea)h(is)f(to)f (a)o(v)o(erage)g(out)g Fm(Y)1240 2436 y Fl(mis)1302 2429 y Fu(,)i(that)e(is,)h(to)f(maximize)p eop %%Page: 8 9 8 8 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures)i (of)f(exp)q(erts)609 b Fu(8)224 286 y(the)14 b Fr(exp)n(e)n(cte)n(d)j Fu(complete-data)d(log)f(lik)o(eliho)q(o)q(d)j Fo(E)1082 293 y Fh(Y)1105 298 y Fg(mis)1162 286 y Fu([ln)8 b Fo(P)e Fu(\()p Fm(Y)t Fo(;)i Fm(Y)1358 293 y Fl(mis)1420 286 y Fm(j)p Fn(\002)o Fu(\)].)19 b(This)14 b(idea)224 343 y(motiv)m(ates)h(the)h(EM)e(algorithm.)295 399 y(The)h(EM)g(algorithm)g (is)h(an)f(iterativ)o(e)g(algorithm)h(consisting)g(of)e(t)o(w)o(o)g (steps:)292 494 y Fm(\017)23 b Fu(The)18 b(Exp)q(ectation)g(\(E\))e (step,)i(whic)o(h)g(computes)g(the)g(follo)o(wing)g(conditional)338 550 y(exp)q(ectation)e(of)f(the)g(log)g(lik)o(eliho)q(o)q(d)511 641 y Fo(Q)p Fu(\()p Fn(\002)o Fm(j)p Fn(\002)659 622 y Fq(\()p Fl(k)q Fq(\))708 641 y Fu(\))41 b(=)h Fo(E)878 648 y Fh(Y)901 653 y Fg(mis)958 641 y Fm(f)p Fu(ln)8 b Fo(P)e Fu(\()p Fm(Z)t(j)p Fn(\002)o Fu(\))p Fm(jY)t Fo(;)i Fn(\002)1294 622 y Fq(\()p Fl(k)q Fq(\))1343 641 y Fm(g)767 719 y Fu(=)844 657 y Fe(Z)897 719 y Fo(P)e Fu(\()p Fm(Y)980 726 y Fl(mis)1042 719 y Fm(jY)t Fo(;)i Fn(\002)1149 700 y Fq(\()p Fl(k)q Fq(\))1198 719 y Fu(\))g(ln)g Fo(P)e Fu(\()p Fm(Z)t(j)p Fn(\002)o Fu(\))p Fo(d)p Fm(Y)1484 726 y Fl(mis)1638 719 y Fu(\(10\))338 839 y(where)15 b Fn(\002)510 821 y Fq(\()p Fl(k)q Fq(\))574 839 y Fu(is)h(the)f(v)m (alue)h(of)f(the)g(parameter)g(v)o(ector)f(at)h(iteration)g Fo(k)q Fu(.)292 929 y Fm(\017)23 b Fu(The)15 b(Maximization)h(\(M\))e (step,)h(whic)o(h)h(computes)728 1019 y Fn(\002)769 1000 y Fq(\()p Fl(k)q Fq(+1\))875 1019 y Fu(=)d(arg)7 b(max)1016 1058 y Fn(\002)1102 1019 y Fo(Q)p Fu(\()p Fn(\002)o Fm(j)p Fn(\002)1249 1000 y Fq(\()p Fl(k)q Fq(\))1298 1019 y Fu(\))p Fo(:)309 b Fu(\(11\))295 1149 y(The)13 b(M)f(step)h(c)o(ho)q (oses)g(a)f(parameter)g(v)m(alue)i(that)e(increases)i(the)e(Q)h (function;)h(the)224 1205 y(exp)q(ected)i(v)m(alue)g(of)f(the)g (complete-data)g(log)g(lik)o(eliho)q(o)q(d.)22 b(Dempster,)15 b(et)f(al.)20 b(\(1977\))224 1262 y(pro)o(v)o(ed)d(that)g(an)h (iteration)g(of)f(EM)h(also)f(increases)i(the)e(original)i(log)f(lik)o (eliho)q(o)q(d)i Fo(l)q Fu(.)224 1318 y(That)15 b(is,)732 1374 y Fo(l)q Fu(\()p Fk(\022)791 1356 y Fq(\()p Fl(k)q Fq(+1\))885 1374 y Fu(;)8 b Fm(Y)t Fu(\))k Fm(\025)h Fo(l)q Fu(\()p Fk(\022)1077 1356 y Fq(\()p Fl(k)q 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(ascen)o(t)g(or)g(b)o(y)g(Newton's)g(metho)q(d.)19 b(An)224 1915 y(algorithm)e(with)g(an)g(M-step)g(giv)o(en)g(b)o(y)g(Eq.)24 b(\(12\))16 b(is)h(referred)g(to)f(as)h(a)f Fr(gener)n(alize)n(d)224 1971 y(EM)g(\(GEM\))e Fu(algorithm)h(\(Dempster,)f(et)h(al.,)g(1977\).) 295 2028 y(F)l(or)f(the)i(ME)e(arc)o(hitecture)i(w)o(e)f(c)o(ho)q(ose)g (the)h(missing)g(data)e(to)h(b)q(e)h(a)f(set)g(of)g(indi-)224 2090 y(cator)f(random)h(v)m(ariables)i Fm(Y)726 2097 y Fl(mis)800 2090 y Fu(=)c Fm(f)p Fo(I)895 2066 y Fq(\()p Fl(t)p Fq(\))891 2103 y Fl(j)937 2090 y Fo(;)8 b(j)14 b Fu(=)f(1)p Fo(;)8 b Fm(\001)g(\001)g(\001)d Fo(;)j(K)q(;)20 b(t)13 b Fu(=)g(1)p Fo(;)8 b Fm(\001)g(\001)g(\001)d Fo(;)j(N)d Fm(g)14 b Fu(with)273 2217 y Fo(I)297 2193 y Fq(\()p Fl(t)p Fq(\))293 2230 y Fl(j)351 2217 y Fu(=)399 2152 y Fe(\032)454 2189 y Fu(1)p Fo(;)41 b Fu(if)16 b Fn(y)602 2173 y Fq(\()p Fl(t)p Fq(\))658 2189 y Fu(is)g(generated)f (from)g(the)g Fo(j)1119 2173 y Fl(th)1169 2189 y Fu(mo)q(del)h(giv)o (en)f(b)o(y)h(Eq.)j(\(1\),)454 2246 y(0)p Fo(;)41 b Fu(otherwise)1638 2301 y(\(13\))224 2357 y(and)759 2389 y Fl(K)742 2402 y Fe(X)744 2500 y Fl(j)r Fq(=1)815 2445 y Fo(I)839 2422 y Fq(\()p Fl(t)p Fq(\))835 2459 y Fl(j)894 2445 y Fu(=)13 b(1)p Fo(;)22 b Fu(for)14 b(eac)o(h)i Fo(t:)p eop %%Page: 9 10 9 9 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures)i (of)f(exp)q(erts)609 b Fu(9)224 286 y(W)l(e)15 b(assume)h(that)e(the)h (distribution)i(of)e(the)g(complete)h(data)f(is)g(giv)o(en)h(as)f (follo)o(ws)499 421 y Fo(P)6 b Fu(\()p Fm(Z)t(j)p Fn(\002)o Fu(\))12 b(=)733 364 y Fl(N)720 378 y Fe(Y)720 475 y Fl(t)p Fq(=1)800 364 y Fl(K)787 378 y Fe(Y)786 476 y Fl(j)r Fq(=1)847 421 y Fu([)p Fo(g)882 428 y Fl(j)899 421 y Fu(\()p Fn(x)945 402 y Fq(\()p Fl(t)p Fq(\))987 421 y Fo(;)c Fk(\022)1034 428 y Fq(0)1054 421 y Fu(\))p Fo(P)e Fu(\()p Fn(y)1154 402 y Fq(\()p Fl(t)p Fq(\))1195 421 y Fm(j)p Fn(x)1236 402 y Fq(\()p Fl(t)p Fq(\))1278 421 y Fo(;)i Fk(\022)1325 428 y Fl(j)1343 421 y Fu(\)])1374 400 y Fl(I)1392 383 y Fj(\()p Fg(t)p Fj(\))1389 411 y Fg(j)1431 421 y Fo(:)224 562 y Fu(It)15 b(is)h(easy)f(to)g(v)o(erify)g (that)g(this)g(distribution)i(satis\014es)e(Eq.)20 b(\(9\).)295 619 y(F)l(rom)14 b(Eq.)20 b(\(10\),)14 b(w)o(e)g(also)i(obtain)270 713 y Fo(Q)p Fu(\()p Fn(\002)o Fm(j)p Fn(\002)417 694 y Fq(\()p Fl(k)q Fq(\))466 713 y Fu(\))41 b(=)h Fo(E)636 720 y Fh(Y)659 725 y Fg(mis)716 713 y Fm(f)p Fu(ln)8 b Fo(P)e Fu(\()p Fo(Z)s Fm(j)p Fn(\002)p Fu(\))p Fm(jY)t Fo(;)i Fn(\002)1050 694 y Fq(\()p Fl(k)q Fq(\))1099 713 y Fm(g)525 813 y Fu(=)619 756 y Fl(N)602 770 y Fe(X)606 867 y Fl(t)p Fq(=1)692 756 y Fl(K)675 770 y Fe(X)678 868 y Fl(j)r Fq(=1)749 813 y Fo(h)775 789 y Fq(\()p Fl(k)q Fq(\))775 827 y Fl(j)824 813 y Fu(\()p Fo(t)p Fu(\))g(ln[)p Fo(g)956 820 y Fl(j)973 813 y Fu(\()p Fn(x)1019 794 y Fq(\()p Fl(t)p Fq(\))1061 813 y Fo(;)g Fk(\022)1108 820 y Fq(0)1128 813 y Fu(\))p Fo(P)e Fu(\()p Fn(y)1228 794 y Fq(\()p Fl(t)p Fq(\))1269 813 y Fm(j)p Fn(x)1310 794 y Fq(\()p Fl(t)p Fq(\))1352 813 y Fo(;)i Fk(\022)1399 820 y Fl(j)1417 813 y Fu(\)])525 967 y(=)619 910 y Fl(N)602 924 y Fe(X)606 1021 y Fl(t)p Fq(=1)692 910 y Fl(K)675 924 y Fe(X)678 1021 y Fl(j)r Fq(=1)749 967 y Fo(h)775 943 y Fq(\()p Fl(k)q Fq(\))775 980 y Fl(j)824 967 y Fu(\()p Fo(t)p Fu(\))g(ln)f Fo(g)950 974 y Fl(j)968 967 y Fu(\()p Fn(x)1014 948 y Fq(\()p Fl(t)p Fq(\))1056 967 y Fu(\))j(+)1146 910 y Fl(N)1129 924 y Fe(X)1133 1021 y Fl(t)p Fq(=1)1202 967 y Fo(h)1228 943 y Fq(\()p Fl(k)q Fq(\))1228 980 y(1)1277 967 y Fu(\()p Fo(t)p Fu(\))e(ln)g Fo(P)e Fu(\()p Fn(y)1464 948 y Fq(\()p Fl(t)p Fq(\))1506 967 y Fm(j)p Fn(x)1547 948 y Fq(\()p Fl(t)p Fq(\))1588 967 y Fo(;)i Fk(\022)1636 974 y Fq(1)1655 967 y Fu(\))525 1121 y(+)42 b Fm(\001)8 b(\001)g(\001)g Fu(+)728 1064 y Fl(N)711 1077 y Fe(X)715 1175 y Fl(t)p Fq(=1)784 1121 y Fo(h)810 1097 y Fq(\()p Fl(k)q Fq(\))810 1135 y Fl(K)859 1121 y Fu(\()p Fo(t)p Fu(\))g(ln)g Fo(P)e Fu(\()p Fn(y)1046 1102 y Fq(\()p Fl(t)p Fq(\))1088 1121 y Fm(j)p Fn(x)1129 1102 y Fq(\()p Fl(t)p Fq(\))1170 1121 y Fo(;)i Fk(\022)1217 1128 y Fl(K)1251 1121 y Fu(\))p Fo(;)356 b Fu(\(14\))224 1252 y(where)502 1346 y Fo(h)528 1322 y Fq(\()p Fl(k)q Fq(\))528 1360 y Fl(j)577 1346 y Fu(\()p Fo(t)p Fu(\))41 b(=)h Fo(E)s Fu([)p Fo(I)821 1322 y Fq(\()p Fl(t)p Fq(\))817 1360 y Fl(j)861 1346 y Fm(jY)t Fo(;)8 b Fn(\002)969 1328 y Fq(\()p Fl(k)q Fq(\))1018 1346 y Fu(])k(=)h Fo(P)6 b Fu(\()p Fo(j)s Fm(j)p Fn(x)1207 1328 y Fq(\()p Fl(t)p Fq(\))1248 1346 y Fo(;)i Fn(y)1298 1328 y Fq(\()p Fl(t)p Fq(\))1339 1346 y Fu(\))670 1457 y(=)807 1419 y Fo(g)829 1426 y Fl(j)847 1419 y Fu(\()p Fn(x)893 1403 y Fq(\()p Fl(t)p Fq(\))935 1419 y Fo(;)g Fk(\022)982 1395 y Fq(\()p Fl(k)q Fq(\))982 1432 y(0)1031 1419 y Fu(\))p Fo(P)e Fu(\()p Fn(y)1131 1403 y Fq(\()p Fl(t)p Fq(\))1172 1419 y Fm(j)p Fn(x)1213 1403 y Fq(\()p Fl(t)p Fq(\))1254 1419 y Fo(;)i Fk(\022)1302 1395 y Fq(\()p Fl(k)q Fq(\))1302 1433 y Fl(j)1350 1419 y Fu(\))p 752 1447 672 2 v 752 1467 a Fe(P)800 1480 y Fl(K)800 1514 y(i)p Fq(=1)867 1501 y Fo(g)889 1508 y Fl(i)902 1501 y Fu(\()p Fn(x)948 1488 y Fq(\()p Fl(t)p Fq(\))990 1501 y Fo(;)g Fk(\022)1037 1477 y Fq(\()p Fl(k)q Fq(\))1037 1514 y(0)1086 1501 y Fu(\))p Fo(P)e Fu(\()p Fn(y)1186 1488 y Fq(\()p Fl(t)p Fq(\))1227 1501 y Fm(j)p Fn(x)1268 1488 y Fq(\()p Fl(t)p Fq(\))1310 1501 y Fo(;)i Fk(\022)1357 1477 y Fq(\()p Fl(k)q Fq(\))1357 1515 y Fl(i)1406 1501 y Fu(\))1428 1457 y Fo(;)197 b Fu(\(15\))224 1598 y(where)15 b Fo(P)6 b Fu(\()p Fo(j)s Fm(j)p Fn(x)471 1581 y Fq(\()p Fl(t)p Fq(\))512 1598 y Fo(;)i Fn(y)562 1581 y Fq(\()p Fl(t)p Fq(\))603 1598 y Fu(\))14 b(denotes)h(the)g(probabilit)o(y)h(that)f (the)g(pair)g Fm(f)p Fn(x)1430 1581 y Fq(\()p Fl(t)p Fq(\))1471 1598 y Fo(;)8 b Fn(y)1521 1581 y Fq(\()p Fl(t)p Fq(\))1562 1598 y Fm(g)15 b Fu(comes)224 1662 y(from)g(the)g Fo(j)432 1646 y Fl(th)482 1662 y Fu(probabilit)o(y)h(mo)q(del.)21 b(Note)15 b(that)f(w)o(e)h(alw)o(a)o(ys)f(ha)o(v)o(e)h Fo(h)1418 1638 y Fq(\()p Fl(k)q Fq(\))1418 1676 y Fl(j)1467 1662 y Fu(\()p Fo(t)p Fu(\))e Fo(>)g Fu(0.)295 1718 y(With)h(the)h Fo(Q)f Fu(function)i(in)f(hand,)g(w)o(e)f(no)o(w)g(in)o(v)o(estigate)h (the)f(implemen)o(tation)i(of)224 1775 y(the)f(M)g(step.)20 b(F)l(rom)15 b(Eq.)k(\(14\),)14 b(Eq.)20 b(\(1\))14 b(and)h(Eq.)20 b(\(2\),)14 b(w)o(e)h(ha)o(v)o(e)480 1881 y Fo(@)s(Q)p 475 1902 74 2 v 475 1943 a(@)s Fk(\022)528 1950 y Fq(0)594 1912 y Fu(=)688 1855 y Fl(N)671 1869 y Fe(X)675 1966 y Fl(t)p Fq(=1)761 1855 y Fl(K)745 1869 y Fe(X)747 1967 y Fl(j)r Fq(=1)818 1912 y Fo(h)844 1888 y Fq(\()p Fl(k)q Fq(\))844 1926 y Fl(j)893 1912 y Fu(\()p Fo(t)p Fu(\))950 1881 y Fo(@)s(g)999 1888 y Fl(j)1016 1881 y Fu(\()p Fn(x)1062 1865 y Fq(\()p Fl(t)p Fq(\))1104 1881 y Fo(;)8 b Fk(\022)1151 1888 y Fq(0)1171 1881 y Fu(\))p 950 1902 239 2 v 1032 1943 a Fo(@)s Fk(\022)1086 1950 y Fq(0)1193 1912 y Fo(=g)1238 1919 y Fl(j)1256 1912 y Fu(\()p Fn(x)1302 1893 y Fq(\()p Fl(t)p Fq(\))1343 1912 y Fo(;)g Fk(\022)1391 1919 y Fq(0)1410 1912 y Fu(\))594 2066 y(=)688 2009 y Fl(N)671 2023 y Fe(X)675 2120 y Fl(t)p Fq(=1)761 2009 y Fl(K)745 2023 y Fe(X)747 2120 y Fl(j)r Fq(=1)818 2066 y Fo(h)844 2042 y Fq(\()p Fl(k)q Fq(\))844 2079 y Fl(j)893 2066 y Fu(\()p Fo(t)p Fu(\)[)966 2035 y Fo(@)s(s)1014 2042 y Fl(j)p 963 2055 74 2 v 963 2097 a Fo(@)s Fk(\022)1016 2104 y Fq(0)1051 2066 y Fm(\000)1113 2009 y Fl(K)1096 2023 y Fe(X)1100 2120 y Fl(i)p Fq(=1)1169 2066 y Fo(g)1191 2073 y Fl(i)1205 2066 y Fu(\()p Fn(x)1251 2047 y Fq(\()p Fl(t)p Fq(\))1293 2066 y Fo(;)g Fk(\022)1340 2073 y Fq(0)1359 2066 y Fu(\))1388 2035 y Fo(@)s(s)1436 2042 y Fl(i)p 1382 2055 V 1382 2097 a Fo(@)s Fk(\022)1436 2104 y Fq(0)1460 2066 y Fu(])594 2220 y(=)688 2163 y Fl(N)671 2176 y Fe(X)675 2273 y Fl(t)p Fq(=1)761 2163 y Fl(K)745 2176 y Fe(X)747 2274 y Fl(j)r Fq(=1)810 2220 y Fu([)p Fo(h)849 2196 y Fq(\()p Fl(k)q Fq(\))849 2233 y Fl(j)898 2220 y Fu(\()p Fo(t)p Fu(\))i Fm(\000)g Fo(g)1027 2227 y Fl(j)1045 2220 y Fu(\()p Fn(x)1091 2201 y Fq(\()p Fl(t)p Fq(\))1133 2220 y Fo(;)e Fk(\022)1180 2227 y Fq(0)1200 2220 y Fu(\)])1238 2189 y Fo(@)s(s)1286 2196 y Fl(j)p 1236 2209 V 1236 2251 a Fo(@)s Fk(\022)1288 2258 y Fq(0)1313 2220 y Fo(;)312 b Fu(\(16\))421 2422 y Fo(@)s(Q)p 416 2442 72 2 v 416 2484 a(@)s Fk(\022)470 2491 y Fl(j)535 2452 y Fu(=)629 2396 y Fl(N)612 2409 y Fe(X)616 2506 y Fl(t)p Fq(=1)685 2452 y Fo(h)711 2429 y Fq(\()p Fl(k)q Fq(\))711 2466 y Fl(j)760 2452 y Fu(\()p Fo(t)p Fu(\))817 2421 y Fo(@)s(P)6 b Fu(\()p Fn(y)926 2405 y Fq(\()p Fl(t)p Fq(\))967 2421 y Fm(j)p Fn(x)1008 2405 y Fq(\()p Fl(t)p Fq(\))1049 2421 y Fo(;)i Fk(\022)1097 2428 y Fl(j)1115 2421 y Fu(\))p 817 2442 317 2 v 939 2484 a Fo(@)s Fk(\022)992 2491 y Fl(j)1138 2452 y Fo(=P)e Fu(\()p Fn(y)1243 2434 y Fq(\()p Fl(t)p Fq(\))1284 2452 y Fm(j)p Fn(x)1325 2434 y Fq(\()p Fl(t)p Fq(\))1367 2452 y Fo(;)i Fk(\022)1414 2459 y Fl(j)1432 2452 y Fu(\))p eop %%Page: 10 11 10 10 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(10)535 325 y(=)629 268 y Fl(N)612 282 y Fe(X)616 379 y Fl(t)p Fq(=1)685 325 y Fo(h)711 301 y Fq(\()p Fl(k)q Fq(\))711 338 y Fl(j)760 325 y Fu(\()p Fo(t)p Fu(\))817 288 y Fo(@)s Fn(f)879 271 y Fl(T)860 301 y(j)907 288 y Fu(\()p Fn(x)953 271 y Fq(\()p Fl(t)p Fq(\))994 288 y Fo(;)8 b Fk(\022)1042 295 y Fl(j)1060 288 y Fu(\))p 817 314 261 2 v 911 356 a Fo(@)s Fk(\022)965 363 y Fl(j)1082 325 y Fu(\006)1115 306 y Fh(\000)p Fq(1)1115 338 y Fl(j)1162 325 y Fu([)p Fn(y)1204 306 y Fq(\()p Fl(t)p Fq(\))1256 325 y Fm(\000)i Fn(f)1317 332 y Fl(j)1335 325 y Fu(\()p Fn(x)1381 306 y Fq(\()p Fl(t)p Fq(\))1423 325 y Fo(;)e Fk(\022)1470 332 y Fl(j)1488 325 y Fu(\)])p Fo(;)106 b Fu(\(17\))224 465 y(and)237 568 y Fo(@)s(Q)p 229 588 78 2 v 229 630 a(@)s Fu(\006)289 637 y Fl(j)353 599 y Fu(=)447 542 y Fl(N)430 555 y Fe(X)434 653 y Fl(t)p Fq(=1)503 599 y Fo(h)529 575 y Fq(\()p Fl(k)q Fq(\))529 612 y Fl(j)578 599 y Fu(\()p Fo(t)p Fu(\))635 568 y Fo(@)s(P)6 b Fu(\()p Fn(y)744 551 y Fq(\()p Fl(t)p Fq(\))786 568 y Fm(j)p Fn(x)827 551 y Fq(\()p Fl(t)p Fq(\))868 568 y Fo(;)i Fk(\022)915 575 y Fl(j)934 568 y Fu(\))p 635 588 317 2 v 754 630 a Fo(@)s Fu(\006)814 637 y Fl(j)956 599 y Fo(=P)e Fu(\()p Fn(y)1061 580 y Fq(\()p Fl(t)p Fq(\))1103 599 y Fm(j)p Fn(x)1144 580 y Fq(\()p Fl(t)p Fq(\))1185 599 y Fo(;)i Fk(\022)1232 606 y Fl(j)1251 599 y Fu(\))353 745 y(=)42 b Fm(\000)470 715 y Fu(1)p 470 735 23 2 v 470 777 a(2)523 689 y Fl(N)506 702 y Fe(X)510 799 y Fl(t)p Fq(=1)579 745 y Fo(h)605 721 y Fq(\()p Fl(k)q Fq(\))605 759 y Fl(j)654 745 y Fu(\()p Fo(t)p Fu(\)\006)739 726 y Fh(\000)p Fq(1)739 759 y Fl(j)786 745 y Fm(f)p Fu(\006)842 752 y Fl(j)870 745 y Fm(\000)10 b Fu([)p Fn(y)957 727 y Fq(\()p Fl(t)p Fq(\))1008 745 y Fm(\000)h Fn(f)1070 752 y Fl(j)1088 745 y Fu(\()p Fn(x)1134 727 y Fq(\()p Fl(t)p Fq(\))1176 745 y Fo(;)d Fk(\022)1223 752 y Fl(j)1241 745 y Fu(\)][)p Fn(y)1314 727 y Fq(\()p Fl(t)p Fq(\))1365 745 y Fm(\000)i Fn(f)1426 752 y Fl(j)1444 745 y Fu(\()p Fn(x)1490 727 y Fq(\()p Fl(t)p Fq(\))1532 745 y Fo(;)e Fk(\022)1579 752 y Fl(j)1597 745 y 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Fo(;)8 b Fk(\022)1186 1109 y Fl(j)1204 1102 y Fu(\)][)p Fn(y)1277 1083 y Fq(\()p Fl(t)p Fq(\))1320 1102 y Fm(\000)r Fn(f)1373 1109 y Fl(j)1392 1102 y Fu(\()p Fn(x)1438 1083 y Fq(\()p Fl(t)p Fq(\))1479 1102 y Fo(;)g Fk(\022)1526 1109 y Fl(j)1545 1102 y Fu(\)])1576 1083 y Fl(T)1602 1102 y Fo(:)23 b Fu(\(19\))224 1247 y(Assuming)15 b(that)f(the)h(training)g(set)f Fm(Y)19 b Fu(is)c(generated)g(b)o(y)f(a)g(mixture)h(mo)q(del,)g(w)o(e)g(note) 224 1304 y(that)20 b(when)h(the)g(the)f(sample)h(n)o(um)o(b)q(er)g Fo(N)k Fu(is)c(su\016cien)o(tly)h(large)f(\(relativ)o(e)g(to)e(the)224 1360 y(dimension)d(of)d Fn(y)q Fu(\),)g(the)h(space)h(spanned)g(b)o(y)f (the)g Fo(N)k Fu(v)o(ectors)13 b([)p Fn(y)1324 1344 y Fq(\()p Fl(t)p Fq(\))1373 1360 y Fm(\000)8 b Fn(f)1432 1367 y Fl(j)1451 1360 y Fu(\()p Fn(x)1497 1344 y Fq(\()p Fl(t)p Fq(\))1538 1360 y Fo(;)g Fk(\022)1585 1367 y Fl(j)1604 1360 y Fu(\)])13 b(will)224 1427 y(b)q(e)21 b(of)f(full)h(dimension)h (with)f(probabilit)o(y)g(one.)35 b(Recalling)23 b(that)c Fo(h)1446 1403 y Fq(\()p Fl(k)q Fq(\))1446 1440 y Fl(j)1495 1427 y Fu(\()p Fo(t)p Fu(\))i Fo(>)g Fu(0)f(w)o(e)224 1483 y(observ)o(e)e(that)g(when)g(the)h(sample)f(n)o(um)o(b)q(er)h Fo(N)k Fu(is)18 b(su\016cien)o(tly)i(large)e(the)h(matrices)224 1545 y(\006)257 1521 y Fq(\()p Fl(k)q Fq(+1\))257 1559 y Fl(j)366 1545 y Fu(are)c(therefore)g(p)q(ositiv)o(e)h(de\014nite)h (with)e(probabilit)o(y)i(one.)295 1613 y(Next,)d(b)o(y)i(letting)638 1592 y Fl(@)r(Q)p 631 1602 64 2 v 631 1636 a(@)r Fk(\022)678 1641 y Fg(j)699 1613 y Fm(j)712 1637 y Fk(\022)739 1642 y Fg(j)755 1637 y Fq(=)p Fk(\022)810 1616 y Fj(\()p Fg(k)q Fj(+1\))810 1645 y Fg(j)906 1613 y Fu(=)d(0,)h(w)o(e)h(obtain)445 1727 y Fl(N)428 1741 y Fe(X)432 1838 y Fl(t)p Fq(=1)501 1784 y Fo(h)527 1760 y Fq(\()p Fl(k)q Fq(\))527 1798 y Fl(j)576 1784 y Fu(\()p Fo(t)p Fu(\))633 1747 y Fo(@)s Fn(f)695 1731 y Fl(T)676 1760 y(j)723 1747 y Fu(\()p Fn(x)769 1731 y Fq(\()p Fl(t)p Fq(\))810 1747 y Fo(;)8 b Fk(\022)858 1754 y Fl(j)876 1747 y 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Fe(X)792 2263 y Fl(t)p Fq(=1)861 2209 y Fo(h)887 2185 y Fq(\()p Fl(k)q Fq(\))887 2222 y Fl(j)936 2209 y Fu(\()p Fo(t)p Fu(\))p Fo(X)1026 2216 y Fl(t)1040 2209 y Fu(\(\006)1091 2185 y Fq(\()p Fl(k)q Fq(\))1091 2222 y Fl(j)1140 2209 y Fu(\))1158 2190 y Fh(\000)p Fq(1)1204 2209 y Fn(y)1233 2190 y Fq(\()p Fl(t)p Fq(\))1275 2209 y Fo(;)350 b Fu(\(22\))650 2382 y Fo(R)685 2358 y Fq(\()p Fl(k)q Fq(\))685 2396 y Fl(j)747 2382 y Fu(=)812 2325 y Fl(N)795 2339 y Fe(X)798 2436 y Fl(t)p Fq(=1)868 2382 y Fo(h)894 2358 y Fq(\()p Fl(k)q Fq(\))894 2396 y Fl(j)943 2382 y Fu(\()p Fo(t)p Fu(\))p Fo(X)1033 2389 y Fl(t)1047 2382 y Fu(\(\006)1098 2358 y Fq(\()p Fl(k)q Fq(\))1098 2396 y Fl(j)1146 2382 y Fu(\))1164 2364 y Fh(\000)p Fq(1)1211 2382 y Fo(X)1253 2364 y Fl(T)1249 2394 y(t)1280 2382 y Fo(;)345 b Fu(\(23\))p eop %%Page: 11 12 11 11 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(11)224 286 y(and)238 460 y Fo(X)280 441 y Fl(T)276 471 y(t)319 460 y Fu(=)367 339 y Fe(8)367 380 y(>)367 394 y(>)367 407 y(<)367 489 y(>)367 503 y(>)367 516 y(:)461 364 y Fu(\()p Fn(x)507 348 y Fq(\()p Fl(t)p Fq(\))548 364 y Fu(\))566 348 y Fl(T)694 364 y Fu(0)100 b Fm(\001)8 b(\001)g(\001)44 b(\001)8 b(\001)g(\001)98 b Fu(0)i Fm(j)45 b Fu(1)61 b(0)f Fm(\001)8 b(\001)g(\001)43 b(\001)8 b(\001)g(\001)44 b Fu(0)516 420 y(0)100 b(\()p Fn(x)685 404 y Fq(\()p Fl(t)p Fq(\))726 420 y Fu(\))744 404 y Fl(T)832 420 y Fu(0)61 b Fm(\001)8 b(\001)g(\001)98 b Fu(0)i Fm(j)45 b Fu(0)61 b(1)75 b(0)60 b Fm(\001)8 b(\001)g(\001)44 b Fu(0)521 466 y(.)521 482 y(.)521 499 y(.)699 466 y(.)699 482 y(.)699 499 y(.)1074 466 y(.)1074 482 y(.)1074 499 y(.)105 b Fm(j)1255 466 y Fu(.)1255 482 y(.)1255 499 y(.)1619 466 y(.)1619 482 y(.)1619 499 y(.)516 555 y(0)140 b Fm(\001)8 b(\001)g(\001)83 b(\001)8 b(\001)g(\001)59 b Fu(0)h(\()p Fn(x)1060 539 y Fq(\()p Fl(t)p Fq(\))1102 555 y Fu(\))1120 539 y Fl(T)1192 555 y Fm(j)45 b Fu(0)g Fm(\001)8 b(\001)g(\001)44 b(\001)8 b(\001)g(\001)59 b Fu(0)h(1)1644 339 y Fe(9)1644 380 y(>)1644 394 y(>)1644 407 y(=)1644 489 y(>)1644 503 y(>)1644 516 y(;)1692 460 y Fo(:)1638 605 y Fu(\(24\))224 669 y(Note)15 b(that)f Fo(R)467 645 y Fq(\()p Fl(k)q Fq(\))467 683 y Fl(j)531 669 y Fu(is)i(in)o(v)o(ertible)h(with)e(probabilit)o(y)h (one)g(when)f(the)h(sample)f(size)h Fo(N)k Fu(is)224 726 y(su\016cien)o(tly)d(large.)295 782 y(Finally)l(,)22 b(let)f(us)f(consider)h(the)f(up)q(date)h(for)e Fk(\022)1122 789 y Fq(0)1142 782 y Fu(.)35 b(Jordan)20 b(and)g(Jacobs)g(\(1994\))224 839 y(observ)o(ed)e(that)f(the)i(gating)e(net)o(w)o(ork)g(is)i(a)e(sp)q (eci\014c)j(form)d(of)h(a)g(generalized)h(linear)224 895 y(mo)q(del,)i(in)f(particular)f(a)g Fr(multinomial)h(lo)n(git)i Fu(mo)q(del)e(\(cf.)32 b(McCullagh)19 b(&)h(Nelder,)224 952 y(1984\).)41 b(Multinomial)24 b(logit)f(mo)q(dels)h(can)f(b)q(e)g (\014t)g(e\016cien)o(tly)h(with)f(a)f(v)m(arian)o(t)h(of)224 1008 y(Newton's)15 b(metho)q(d)h(kno)o(wn)g(as)f Fr(iter)n(atively)h(r) 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(v)o(ector)e(at)h(iteration)g Fo(k)h Fu(as)548 1653 y Fn(e)572 1634 y Fq(\()p Fl(k)q Fq(\))572 1664 y Fl(g)634 1653 y Fu(=)699 1596 y Fl(N)682 1609 y Fe(X)686 1707 y Fl(t)p Fq(=1)772 1596 y Fl(K)755 1609 y Fe(X)757 1707 y Fl(j)r Fq(=1)821 1653 y Fu([)p Fo(h)860 1629 y Fq(\()p Fl(k)q Fq(\))860 1666 y Fl(j)908 1653 y Fu(\()p Fo(t)p Fu(\))10 b Fm(\000)h Fo(g)1038 1660 y Fl(j)1055 1653 y Fu(\()p Fn(x)1101 1634 y Fq(\()p Fl(t)p Fq(\))1143 1653 y Fo(;)d Fk(\022)1190 1629 y Fq(\()p Fl(k)q Fq(\))1190 1666 y(0)1239 1653 y Fu(\)])1292 1622 y Fo(@)s(s)1340 1629 y Fl(j)p 1275 1642 103 2 v 1275 1696 a Fo(@)s Fk(\022)1328 1672 y Fq(\()p Fl(k)q Fq(\))1328 1709 y(0)1382 1653 y Fo(;)243 b Fu(\(25\))224 1793 y(and)16 b(the)f(Hessian)h(matrix)f(at)f (iteration)i Fo(k)g Fu(as)440 1921 y Fo(R)475 1902 y Fq(\()p Fl(k)q Fq(\))475 1932 y Fl(g)536 1921 y Fu(=)601 1864 y Fl(N)584 1877 y Fe(X)588 1975 y Fl(t)p Fq(=1)674 1864 y Fl(K)657 1877 y Fe(X)659 1975 y Fl(j)r Fq(=1)730 1921 y Fo(g)752 1928 y Fl(j)770 1921 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Fq(\()p Fl(k)q Fq(\))1214 2174 y Fl(g)1263 2162 y Fo(;)362 b Fu(\(27\))224 2258 y(where)16 b Fo(\015)380 2265 y Fl(g)414 2258 y Fu(is)g(a)f(learning)h(rate.)295 2315 y(In)k(summary)l(,)g(the)f (parameter)g(up)q(date)h(for)f(the)h(mo)q(del)g(Eq.)33 b(\(3\))19 b(is)h(giv)o(en)g(as)224 2371 y(follo)o(ws)p 224 2400 598 2 v 276 2427 a Fj(2)293 2443 y Fi(Th)o(us)15 b(the)f(algorithm)i(that)e(w)o(e)g(analyze)h(in)g(this)g(pap)q(er)g (is,)g(strictly)g(sp)q(eaking,)h(a)e(GEM)g(algo-)224 2488 y(rithm.)p eop %%Page: 12 13 12 12 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(12)p 224 286 1495 5 v 224 368 a Fn(Algorithm)18 b(1)280 451 y Fu(1.)k(\(The)15 b(E)g(step\):)20 b(Compute)15 b(the)g Fo(h)928 427 y Fq(\()p Fl(k)q Fq(\))928 464 y Fl(j)977 451 y Fu(\()p Fo(t)p Fu(\)'s)f(b)o(y)h(Eq.)20 b(\(15\).)280 555 y(2.)i(\(The)17 b(M)g(step\):)24 b(Compute)17 b(\006)878 531 y Fq(\()p Fl(k)q Fq(+1\))878 568 y Fl(j)990 555 y Fu(b)o(y)g(Eq.)26 b(\(19\),)17 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y(1)p 989 1558 42 2 v 989 1600 a Fo(N)1060 1512 y Fl(N)1043 1525 y Fe(X)1047 1623 y Fl(t)p Fq(=1)1116 1569 y Fo(h)1142 1545 y Fq(\()p Fl(k)q Fq(\))1142 1582 y Fl(j)1191 1569 y Fu(\()p Fo(t)p Fu(\))p Fo(:)382 b Fu(\(29\))338 1706 y(Obtain)15 b Fk(\022)518 1683 y Fq(\()p Fl(k)q Fq(+1\))518 1720 y Fl(j)612 1706 y Fo(;)8 b(j)14 b Fu(=)f(1)p Fo(;)8 b Fm(\001)g(\001)g(\001)d Fo(;)j(K)16 b Fu(in)g(the)f(same)f(manner)h(as)f(for)g(mo)q(del)h(Eq.)20 b(\(3\).)p 224 1802 1495 5 v 295 1883 a(W)l(e)10 b(see)h(that)f(the)g (EM)g(algorithm)h(for)e(switc)o(hing)j(regression)e(is)h(simpler,)i(b)q (ecause)224 1945 y(the)g Fo(\013)329 1921 y Fq(\()p Fl(k)q Fq(\))329 1959 y Fl(j)378 1945 y Fu('s)e(are)h(not)g(constrained)h (through)f(a)g(common)g(parameter)g Fk(\022)1436 1952 y Fq(0)1468 1945 y Fu(as)f(in)j(the)e(ME)224 2001 y(mo)q(del.)224 2120 y Fp(Theoretical)17 b(con)n(v)n(ergence)h(results)224 2206 y Fu(In)c(this)g(section)g(w)o(e)f(pro)o(vide)h(a)f(n)o(um)o(b)q 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Fl(k)q Fq(\))730 468 y(0)821 455 y Fu(=)41 b Fo(P)932 436 y Fq(\()p Fl(k)q Fq(\))926 466 y Fl(g)1003 424 y Fo(@)s(l)p 987 445 74 2 v 987 486 a(@)s Fk(\022)1040 493 y Fq(0)1065 455 y Fm(j)1078 479 y Fk(\022)1105 484 y Fj(0)1122 479 y Fq(=)p Fk(\022)1176 458 y Fj(\()p Fg(k)q Fj(\))1176 488 y(0)1221 455 y Fo(;)527 560 y Fk(\022)554 536 y Fq(\()p Fl(k)q Fq(+1\))554 573 y Fl(j)658 560 y Fm(\000)10 b Fk(\022)730 536 y Fq(\()p Fl(k)q Fq(\))730 573 y Fl(j)821 560 y Fu(=)41 b Fo(P)932 536 y Fq(\()p Fl(k)q Fq(\))926 573 y Fl(j)1002 529 y Fo(@)s(l)p 987 549 72 2 v 987 591 a(@)s Fk(\022)1040 598 y Fl(j)1064 560 y Fm(j)1077 584 y Fk(\022)1103 589 y Fg(j)1119 584 y Fq(=)p Fk(\022)1174 563 y Fj(\()p Fg(k)q Fj(\))1174 592 y Fg(j)1219 560 y Fo(;)23 b(j)15 b Fu(=)e(1)p Fo(;)8 b Fm(\001)g(\001)g(\001)d Fo(;)j(K)q(;)338 670 y Fu(v)o(ec)q([\006)448 647 y Fq(\()p Fl(k)q Fq(+1\))448 684 y Fl(j)541 670 y Fu(])i Fm(\000)g Fu(v)o(ec[\006)718 647 y Fq(\()p Fl(k)q Fq(\))718 684 y Fl(j)766 670 y Fu(])42 b(=)f Fo(P)932 647 y Fq(\()p Fl(k)q Fq(\))926 685 y(\006)951 690 y Fg(j)1049 640 y Fo(@)s(l)p 987 660 167 2 v 987 702 a(@)s Fu(v)o(ec)o([\006)1122 709 y Fl(j)1140 702 y Fu(])1158 670 y Fm(j)1171 691 y Fq(\006)1196 696 y Fg(j)1212 691 y Fq(=\006)1264 674 y Fj(\()p Fg(k)q Fj(\))1264 702 y Fg(j)1310 670 y Fo(;)24 b(j)15 b Fu(=)e(1)p Fo(;)8 b Fm(\001)g(\001)g(\001)t Fo(;)g(K)q(;)32 b Fu(\(30\))224 790 y Fr(wher)n(e)21 b Fo(l)g Fu(=)h(ln)8 b Fo(L)21 b Fr(is)f(given)g(by)h(Eq.)35 b(\(5\),)21 b(Eq.)34 b(\(3\))21 b(and)f(Eq.)35 b(\(1\),)21 b(and)g(\\)p Fu(v)o(ec)p Fr([A]")224 847 y(denotes)16 b(the)g(ve)n(ctor)g(obtaine)n(d)g(by)g(stacking)f(the)i(c)n(olumn)e(ve) n(ctors)h(of)g(the)h(matrix)g Fo(A)p Fr(.)295 903 y(Mor)n(e)n(over,)g (assuming)g(that)i(the)f(tr)n(aining)e(set)i Fm(Y)j Fr(is)d(gener)n (ate)n(d)f(by)g(the)h(mixtur)n(e)224 959 y(mo)n(del)g(of)g(Eqs.)26 b(\(3\))17 b(and)h(\(1\))g(and)g(assuming)f(that)i(the)f(numb)n(er)g Fo(N)23 b Fr(is)17 b(su\016ciently)224 1024 y(lar)n(ge,)j(we)g(have)g (that)g Fo(P)662 1000 y Fq(\()p Fl(k)q Fq(\))656 1030 y Fl(g)731 1024 y Fr(is)f(a)h(p)n(ositive)g(de\014nite)f(matrix,)i(and) e Fo(P)1449 1000 y Fq(\()p Fl(k)q Fq(\))1443 1037 y Fl(j)1499 1024 y Fo(;)8 b(P)1555 1000 y Fq(\()p Fl(k)q Fq(\))1549 1038 y(\006)1574 1043 y Fg(j)1603 1024 y Fo(;)27 b(j)21 b Fu(=)224 1080 y(1)p Fo(;)8 b Fm(\001)g(\001)g(\001)d Fo(;)j(K)15 b Fr(ar)n(e)f(p)n(ositive)f(de\014nite)g(matric)n(es)g (with)h(pr)n(ob)n(ability)g(one.)19 b(Sp)n(e)n(ci\014c)n(al)r(ly,)12 b(they)224 1137 y(take)17 b(the)f(fol)r(lowing)g(values:)295 1199 y(\(i\))f Fo(P)397 1175 y Fq(\()p Fl(k)q Fq(\))391 1205 y Fl(g)459 1199 y Fu(=)e Fo(\015)531 1206 y Fl(g)551 1199 y Fu(\()p Fo(R)604 1175 y Fq(\()p Fl(k)q Fq(\))604 1205 y Fl(g)652 1199 y Fu(\))670 1182 y Fh(\000)p Fq(1)733 1199 y Fr(with)k Fo(R)867 1175 y Fq(\()p Fl(k)q Fq(\))867 1205 y Fl(g)932 1199 y Fr(given)e(by)h(Eq.)21 b(\(26\).)295 1265 y(\(ii\))15 b(F)m(or)h Fo(j)f Fu(=)e(1)p Fo(;)8 b 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1684 y Fe(9)1361 1725 y(>)1361 1738 y(>)1361 1752 y(=)1361 1834 y(>)1361 1847 y(>)1361 1861 y(;)295 2047 y Fn(Pro)q(of)p Fu(.)19 b(F)l(rom)14 b(Eqs.)20 b(\(5\),)13 b(\(3\))g(and)i(\(1\),)f(for)f Fo(l)h Fu(=)e(ln)d Fo(L)p Fu(,)14 b(w)o(e)g(obtain)h(the)g(follo)o (wing)224 2104 y(deriv)m(ativ)o(es:)245 2261 y Fo(@)s(l)p 229 2281 74 2 v 229 2323 a(@)s Fk(\022)283 2330 y Fq(0)307 2292 y Fm(j)320 2312 y Fl(\022)336 2317 y Fj(0)354 2312 y Fq(=)p Fl(\022)398 2295 y Fj(\()p Fg(k)q Fj(\))397 2323 y(0)485 2292 y Fu(=)579 2235 y Fl(N)562 2249 y Fe(X)566 2346 y Fl(t)p Fq(=1)652 2235 y Fl(K)635 2249 y Fe(X)638 2346 y Fl(j)r Fq(=1)701 2292 y Fm(f)784 2254 y Fo(g)806 2261 y Fl(j)824 2254 y Fu(\()p Fn(x)870 2237 y Fq(\()p Fl(t)p Fq(\))912 2254 y Fo(;)8 b Fk(\022)959 2230 y Fq(\()p Fl(k)q Fq(\))959 2267 y(0)1008 2254 y Fu(\))p Fo(P)e Fu(\()p Fn(y)1108 2237 y Fq(\()p Fl(t)p Fq(\))1149 2254 y Fm(j)p Fn(x)1190 2237 y Fq(\()p Fl(t)p Fq(\))1231 2254 y Fo(;)i Fk(\022)1279 2230 y Fq(\()p Fl(k)q Fq(\))1279 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Fq(\))1723 2349 y(0)1772 2336 y Fu(\))485 2445 y(=)579 2389 y Fl(N)562 2402 y Fe(X)566 2499 y Fl(t)p Fq(=1)652 2389 y Fl(K)635 2402 y Fe(X)638 2500 y Fl(j)r Fq(=1)701 2445 y Fu([)p Fo(h)740 2422 y Fq(\()p Fl(k)q Fq(\))740 2459 y Fl(j)789 2445 y Fu(\()p Fo(t)p Fu(\))i Fm(\000)g Fo(g)918 2452 y Fl(j)936 2445 y Fu(\()p Fn(x)982 2427 y Fq(\()p Fl(t)p Fq(\))1024 2445 y Fo(;)e Fk(\022)1071 2422 y Fq(\()p Fl(k)q Fq(\))1071 2458 y(0)1119 2445 y Fu(\)])1158 2414 y Fo(@)s(s)1206 2421 y Fl(j)p 1155 2435 74 2 v 1155 2477 a Fo(@)s Fk(\022)1208 2484 y Fq(0)1233 2445 y Fm(j)1246 2466 y Fl(\022)1262 2471 y Fj(0)1279 2466 y Fq(=)p Fl(\022)1323 2448 y Fj(\()p Fg(k)q Fj(\))1322 2477 y(0)1369 2445 y Fo(;)446 b Fu(\(32\))p eop %%Page: 14 15 14 14 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(14)245 400 y Fo(@)s(l)p 229 420 72 2 v 229 462 a(@)s Fk(\022)283 469 y Fl(j)306 430 y Fm(j)319 451 y Fl(\022)335 456 y Fg(j)351 451 y Fq(=)p Fl(\022)395 433 y Fj(\()p Fg(k)q Fj(\))394 462 y Fg(j)483 430 y Fu(=)577 374 y Fl(N)560 387 y Fe(X)564 484 y Fl(t)p Fq(=1)625 430 y Fm(f)708 393 y Fo(g)730 400 y Fl(j)748 393 y Fu(\()p Fn(x)794 376 y Fq(\()p Fl(t)p Fq(\))836 393 y Fo(;)8 b Fk(\022)883 369 y Fq(\()p Fl(k)q Fq(\))883 406 y(0)932 393 y Fu(\))p Fo(P)e Fu(\()p Fn(y)1032 376 y Fq(\()p Fl(t)p Fq(\))1073 393 y Fm(j)p Fn(x)1114 376 y Fq(\()p Fl(t)p Fq(\))1156 393 y Fo(;)i Fk(\022)1203 369 y Fq(\()p Fl(k)q Fq(\))1203 406 y Fl(j)1252 393 y Fu(\))p 653 420 672 2 v 653 440 a Fe(P)701 453 y Fl(K)701 488 y(i)p Fq(=1)768 474 y Fo(g)790 481 y Fl(i)804 474 y Fu(\()p Fn(x)850 461 y Fq(\()p Fl(t)p Fq(\))891 474 y Fo(;)g Fk(\022)938 450 y Fq(\()p Fl(k)q Fq(\))938 487 y(0)987 474 y Fu(\))p Fo(P)e Fu(\()p Fn(y)1087 461 y Fq(\()p Fl(t)p Fq(\))1129 474 y Fm(j)p Fn(x)1170 461 y Fq(\()p Fl(t)p Fq(\))1211 474 y Fo(;)i Fk(\022)1258 450 y Fq(\()p Fl(k)q Fq(\))1258 488 y Fl(i)1307 474 y Fu(\))1330 430 y Fm(g)1358 376 y Fo(@)s(P)e Fu(\()p Fn(y)1467 360 y Fq(\()p Fl(t)p 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y Fg(j)1166 583 y Fu(\(\006)1217 559 y Fq(\()p Fl(k)q Fq(\))1217 596 y Fl(j)1265 583 y Fu(\))1283 564 y Fh(\000)p Fq(1)1330 583 y Fu([)p Fn(y)1372 564 y Fq(\()p Fl(t)p Fq(\))1423 583 y Fm(\000)j Fn(f)1485 590 y Fl(j)1503 583 y Fu(\()p Fn(x)1549 564 y Fq(\()p Fl(t)p Fq(\))1591 583 y Fo(;)d Fk(\022)1638 559 y Fq(\()p Fl(k)q Fq(\))1638 596 y Fl(j)1687 583 y Fu(\)])p Fo(;)96 b Fu(\(33\))247 810 y Fo(@)s(l)p 229 830 78 2 v 229 872 a(@)s Fu(\006)289 879 y Fl(j)312 841 y Fm(j)325 862 y Fq(\006)350 867 y Fg(j)366 862 y Fq(=\006)418 844 y Fj(\()p Fg(k)q Fj(\))418 873 y Fg(j)506 841 y Fu(=)600 784 y Fl(N)583 798 y Fe(X)587 895 y Fl(t)p Fq(=1)648 841 y Fm(f)731 803 y Fo(g)753 810 y Fl(j)771 803 y Fu(\()p Fn(x)817 787 y Fq(\()p Fl(t)p Fq(\))859 803 y Fo(;)8 b Fk(\022)906 779 y Fq(\()p Fl(k)q Fq(\))906 816 y(0)955 803 y Fu(\))p Fo(P)e Fu(\()p Fn(y)1055 787 y Fq(\()p Fl(t)p Fq(\))1096 803 y Fm(j)p Fn(x)1137 787 y Fq(\()p Fl(t)p Fq(\))1179 803 y Fo(;)i Fk(\022)1226 779 y Fq(\()p Fl(k)q Fq(\))1226 817 y Fl(j)1275 803 y Fu(\))p 676 830 672 2 v 676 851 a Fe(P)724 864 y Fl(K)724 898 y(i)p Fq(=1)791 885 y Fo(g)813 892 y Fl(i)827 885 y Fu(\()p Fn(x)873 872 y Fq(\()p Fl(t)p Fq(\))914 885 y Fo(;)g Fk(\022)961 861 y Fq(\()p Fl(k)q Fq(\))961 898 y(0)1010 885 y Fu(\))p Fo(P)e Fu(\()p Fn(y)1110 872 y Fq(\()p Fl(t)p Fq(\))1151 885 y Fm(j)p Fn(x)1192 872 y Fq(\()p Fl(t)p Fq(\))1234 885 y Fo(;)i Fk(\022)1281 861 y Fq(\()p Fl(k)q Fq(\))1281 898 y Fl(i)1330 885 y Fu(\))1353 841 y Fm(g)1381 787 y Fo(@)s(P)e Fu(\()p Fn(y)1490 770 y Fq(\()p Fl(t)p Fq(\))1531 787 y Fm(j)p Fn(x)1572 770 y Fq(\()p Fl(t)p Fq(\))1613 787 y Fo(;)i Fk(\022)1660 763 y Fq(\()p Fl(k)q Fq(\))1660 800 y Fl(j)1709 787 y Fu(\))p Fo(=@)s Fu(\006)1810 794 y Fl(j)1827 787 y Fm(j)1840 807 y Fq(\006)1865 812 y Fg(j)1882 807 y Fq(=\006)1934 790 y Fj(\()p Fg(k)q Fj(\))1934 818 y Fg(j)p 1380 830 600 2 v 1520 885 a Fo(P)e Fu(\()p Fn(y)1602 872 y Fq(\()p Fl(t)p Fq(\))1644 885 y Fm(j)p Fn(x)1685 872 y Fq(\()p Fl(t)p Fq(\))1726 885 y Fo(;)i Fk(\022)1773 861 y Fq(\()p Fl(k)q Fq(\))1773 898 y Fl(j)1822 885 y Fu(\))506 993 y(=)42 b Fm(\000)623 962 y Fu(1)p 623 982 23 2 v 623 1024 a(2)675 936 y Fl(N)658 950 y Fe(X)662 1047 y Fl(t)p Fq(=1)732 993 y Fo(h)758 969 y Fq(\()p Fl(k)q Fq(\))758 1007 y Fl(j)806 993 y Fu(\()p Fo(t)p Fu(\)\(\006)909 969 y Fq(\()p Fl(k)q Fq(\))909 1007 y Fl(j)958 993 y Fu(\))976 974 y Fh(\000)p Fq(1)1022 993 y Fm(f)p Fu(\006)1078 969 y Fq(\()p Fl(k)q Fq(\))1078 1007 y Fl(j)1137 993 y Fm(\000)10 b Fu([)p Fn(y)1224 974 y Fq(\()p Fl(t)p Fq(\))1276 993 y Fm(\000)g Fn(f)1337 1000 y Fl(j)1355 993 y Fu(\()p Fn(x)1401 974 y Fq(\()p Fl(t)p Fq(\))1443 993 y Fo(;)e Fk(\022)1490 969 y Fq(\()p Fl(k)q Fq(\))1490 1007 y Fl(j)1539 993 y Fu(\)][)p Fn(y)1612 974 y Fq(\()p Fl(t)p Fq(\))1662 993 y Fm(\000)j Fn(f)1724 1000 y Fl(j)1742 993 y Fu(\()p Fn(x)1788 974 y Fq(\()p Fl(t)p Fq(\))1830 993 y Fo(;)d Fk(\022)1877 969 y Fq(\()p Fl(k)q Fq(\))1877 1007 y Fl(j)1926 993 y Fu(\)])1957 974 y Fl(T)1983 993 y Fm(g)p Fu(\(\006)2057 969 y Fq(\()p Fl(k)q Fq(\))2057 1007 y Fl(j)2105 993 y Fu(\))2123 974 y Fh(\000)p Fq(1)2170 993 y Fo(:)-81 b Fu(\(34\))295 1134 y(W)l(e)15 b(no)o(w)g(pro)o(v)o(e)f(p)q(oin)o(ts)i(\(i\),)f (\(ii\))g(and)h(\(iii\).)295 1198 y(\(i\))e(Comparing)h(Eq.)k(\(32\))13 b(with)i(Eq.)20 b(\(27\))13 b(it)i(follo)o(ws)f(that)g Fo(P)1386 1174 y Fq(\()p Fl(k)q Fq(\))1380 1204 y Fl(g)1448 1198 y Fu(=)f Fo(\015)1520 1205 y Fl(g)1540 1198 y Fu(\()p Fo(R)1593 1174 y Fq(\()p Fl(k)q Fq(\))1593 1204 y Fl(g)1641 1198 y Fu(\))1659 1182 y Fh(\000)p Fq(1)1706 1198 y Fu(.)224 1265 y(T)l(o)f(sho)o(w)f(that)h Fo(P)528 1241 y Fq(\()p Fl(k)q Fq(\))522 1270 y Fl(g)589 1265 y Fu(is)g(p)q(ositiv)o(e)h (de\014nite,)h(w)o(e)e(sho)o(w)f(that)h Fo(R)1272 1241 y Fq(\()p Fl(k)q Fq(\))1272 1270 y Fl(g)1332 1265 y Fu(is)h(p)q(ositiv) o(e)g(de\014nite.)1698 1248 y Fq(3)224 1321 y Fu(F)l(or)i(an)g (arbitrary)f(v)o(ector)h Fn(u)p Fu(,)g(from)f(Eq.)20 b(\(26\))14 b(w)o(e)h(ha)o(v)o(e)331 1465 y Fn(u)360 1446 y Fl(T)388 1465 y Fo(R)423 1446 y Fq(\()p Fl(k)q Fq(\))423 1476 y Fl(g)472 1465 y Fn(u)41 b Fu(=)636 1408 y Fl(N)619 1422 y Fe(X)623 1519 y Fl(t)p Fq(=1)709 1408 y Fl(K)692 1422 y Fe(X)694 1519 y Fl(j)r Fq(=1)765 1465 y Fo(g)787 1472 y Fl(j)805 1465 y Fu(\()p Fn(x)851 1446 y Fq(\()p Fl(t)p Fq(\))893 1465 y Fo(;)8 b Fk(\022)940 1441 y Fq(\()p Fl(k)q Fq(\))940 1478 y(0)989 1465 y Fu(\)[1)h Fm(\000)i Fo(g)1120 1472 y Fl(j)1137 1465 y Fu(\()p Fn(x)1183 1446 y Fq(\()p Fl(t)p Fq(\))1225 1465 y Fo(;)d Fk(\022)1272 1441 y Fq(\()p Fl(k)q Fq(\))1272 1478 y(0)1321 1465 y Fu(\)])p Fn(u)1381 1446 y Fl(T)1416 1434 y Fo(@)s(s)1464 1441 y Fl(j)p 1413 1454 74 2 v 1413 1496 a Fo(@)s Fk(\022)1466 1503 y Fq(0)1504 1434 y Fo(@)s(s)1552 1441 y Fl(j)p 1496 1454 82 2 v 1496 1501 a Fo(@)s Fk(\022)1550 1482 y Fl(T)1550 1512 y Fq(0)1582 1465 y Fn(u)542 1618 y Fu(=)636 1562 y Fl(N)619 1575 y Fe(X)623 1672 y Fl(t)p Fq(=1)709 1562 y Fl(K)692 1575 y Fe(X)694 1673 y Fl(j)r Fq(=1)765 1618 y Fo(g)787 1625 y Fl(j)805 1618 y Fu(\()p Fn(x)851 1600 y Fq(\()p Fl(t)p Fq(\))893 1618 y Fo(;)g Fk(\022)940 1594 y Fq(\()p Fl(k)q Fq(\))940 1631 y(0)989 1618 y Fu(\)[1)h Fm(\000)i Fo(g)1120 1625 y Fl(j)1137 1618 y Fu(\()p Fn(x)1183 1600 y Fq(\()p Fl(t)p Fq(\))1225 1618 y Fo(;)d Fk(\022)1272 1594 y Fq(\()p Fl(k)q Fq(\))1272 1631 y(0)1321 1618 y Fu(\)])p Fn(v)1381 1600 y Fl(T)1407 1618 y Fn(v)13 b Fm(\025)g Fu(0)p Fo(;)224 1781 y Fu(since)e Fo(g)352 1788 y Fl(j)370 1781 y Fu(\()p Fn(x)416 1765 y Fq(\()p Fl(t)p Fq(\))458 1781 y Fo(;)d Fk(\022)505 1757 y Fq(\()p Fl(k)q Fq(\))505 1794 y(0)554 1781 y Fu(\)[1)p Fm(\000)p Fo(g)665 1788 y Fl(j)682 1781 y Fu(\()p Fn(x)728 1765 y Fq(\()p Fl(t)p Fq(\))770 1781 y Fo(;)g Fk(\022)817 1757 y Fq(\()p Fl(k)q Fq(\))817 1794 y(0)866 1781 y Fu(\)])k Fo(>)h Fu(0.)18 b(Equalit)o(y)10 b(holds)h(in)g(the)f(ab)q(o)o(v)o(e)g (equation)224 1838 y(only)20 b(when)f Fn(v)g Fu(=)g([)p Fo(@)s(s)612 1845 y Fl(j)630 1838 y Fo(=@)s Fk(\022)706 1819 y Fl(T)706 1849 y Fq(0)734 1838 y Fu(])p Fn(u)f Fu(=)i(0)e(for)g(an)o(y)h Fn(u)p Fu(,)h(whic)o(h)f(is)h(imp)q(ossible.) 33 b(Th)o(us)19 b(w)o(e)224 1904 y(ha)o(v)o(e)c(established)i(that)d Fo(R)695 1880 y Fq(\()p Fl(k)q Fq(\))695 1910 y Fl(g)759 1904 y Fu(\(and)h(th)o(us)g(also)g(\()p Fo(R)1109 1880 y Fq(\()p Fl(k)q Fq(\))1109 1910 y Fl(g)1158 1904 y Fu(\))1176 1887 y Fh(\000)p Fq(1)1222 1904 y Fu(\))g(is)h(p)q(ositiv)o(e)g (de\014nite.)295 1969 y(\(ii\))i(Let)f Fn(c)479 1945 y Fq(\()p Fl(k)q Fq(\))479 1983 y Fl(j)546 1969 y Fu(and)g Fo(R)671 1945 y Fq(\()p Fl(k)q Fq(\))671 1983 y Fl(j)737 1969 y Fu(b)q(e)h(giv)o(en)g(b)o(y)g(Eqs.)26 b(\(22\))16 b(and)i(\(23\).)25 b(F)l(rom)17 b(Eq.)26 b(\(33\),)224 2026 y(w)o(e)15 b(obtain)652 2092 y([)p Fn(c)688 2068 y Fq(\()p Fl(k)q Fq(\))688 2106 y Fl(j)747 2092 y Fm(\000)c Fu(\()p Fo(R)846 2068 y Fq(\()p Fl(k)q Fq(\))846 2106 y Fl(j)894 2092 y Fu(\))p Fk(\022)939 2068 y Fq(\()p Fl(k)q Fq(\))939 2106 y Fl(j)987 2092 y Fu(])i(=)1081 2061 y Fo(@)s(l)p 1066 2082 72 2 v 1066 2123 a(@)s Fk(\022)1119 2130 y Fl(j)1142 2092 y Fm(j)1155 2113 y Fl(\022)1171 2118 y Fg(j)1188 2113 y Fq(=)p Fl(\022)1232 2095 y Fj(\()p Fg(k)q Fj(\))1231 2124 y Fg(j)1278 2092 y Fo(:)224 2201 y Fu(F)l(urthermore,)h(it)i(follo)o(ws)f(from)g(Eq.)k(\(21\))14 b(that)523 2310 y Fk(\022)550 2286 y Fq(\()p Fl(k)q Fq(+1\))550 2323 y Fl(j)685 2310 y Fu(=)42 b Fk(\022)789 2286 y Fq(\()p Fl(k)q Fq(\))789 2323 y Fl(j)848 2310 y Fu(+)10 b(\()p Fo(R)946 2286 y Fq(\()p Fl(k)q Fq(\))946 2323 y Fl(j)995 2310 y Fu(\))1013 2291 y Fh(\000)p Fq(1)1060 2310 y Fn(c)1083 2286 y Fq(\()p Fl(k)q Fq(\))1083 2323 y Fl(j)1142 2310 y Fm(\000)g Fk(\022)1214 2286 y Fq(\()p Fl(k)q Fq(\))1214 2323 y Fl(j)685 2395 y Fu(=)42 b Fk(\022)789 2371 y Fq(\()p Fl(k)q Fq(\))789 2409 y Fl(j)848 2395 y Fu(+)10 b(\()p Fo(R)946 2371 y Fq(\()p Fl(k)q Fq(\))946 2409 y Fl(j)995 2395 y Fu(\))1013 2376 y Fh(\000)p Fq(1)1060 2395 y Fu([)p Fn(c)1096 2371 y Fq(\()p Fl(k)q Fq(\))1096 2409 y Fl(j)1154 2395 y Fm(\000)h Fu(\()p Fo(R)1253 2371 y Fq(\()p Fl(k)q Fq(\))1253 2409 y Fl(j)1301 2395 y Fu(\))p Fk(\022)1346 2371 y Fq(\()p Fl(k)q Fq(\))1346 2409 y Fl(j)1395 2395 y Fu(])p Fo(:)217 b Fu(\(35\))p 224 2445 598 2 v 276 2472 a Fj(3)293 2488 y Fi(A)13 b(matrix)h Fc(A)e Fi(is)i(p)q(ositiv)o (e)h(de\014nite)g(if)e(and)g(only)i(if)e Fc(A)1077 2472 y Fd(\000)p Fj(1)1131 2488 y Fi(is)g(p)q(ositiv)o(e)i(de\014nite.)p eop %%Page: 15 16 15 15 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(15)224 286 y(That)15 b(is,)g(w)o(e)g(ha)o(v) o(e)623 403 y Fk(\022)650 379 y Fq(\()p Fl(k)q Fq(+1\))650 416 y Fl(j)757 403 y Fu(=)e Fk(\022)832 379 y Fq(\()p Fl(k)q Fq(\))832 416 y Fl(j)891 403 y Fu(+)d(\()p Fo(R)989 379 y Fq(\()p Fl(k)q Fq(\))989 416 y Fl(j)1037 403 y Fu(\))1055 384 y Fh(\000)p Fq(1)1123 372 y Fo(@)s(l)p 1107 392 72 2 v 1107 434 a(@)s Fk(\022)1161 441 y Fl(j)1184 403 y Fm(j)1197 423 y Fl(\022)1213 428 y Fg(j)1229 423 y Fq(=)p Fl(\022)1273 406 y Fj(\()p Fg(k)q Fj(\))1272 434 y Fg(j)224 541 y Fu(and)16 b Fo(P)348 517 y Fq(\()p Fl(k)q Fq(\))342 554 y Fl(j)409 541 y Fu(=)d(\()p Fo(R)510 517 y Fq(\()p Fl(k)q Fq(\))510 554 y Fl(j)559 541 y Fu(\))577 524 y Fh(\000)p Fq(1)624 541 y Fu(.)295 614 y(W)l(e)k(no)o(w)f(pro)o(v) o(e)g(that)g Fo(R)730 590 y Fq(\()p Fl(k)q Fq(\))730 627 y Fl(j)795 614 y Fu(is)h(p)q(ositiv)o(e)h(de\014nite.)26 b(F)l(or)16 b(an)h(arbitrary)f(v)o(ector)g Fn(u)p Fu(,)224 670 y(from)f(Eq.)k(\(21)c(\))f(w)o(e)h(ha)o(v)o(e)275 811 y Fn(u)304 792 y Fl(T)331 811 y Fo(R)366 787 y Fq(\()p Fl(k)q Fq(\))366 824 y Fl(j)415 811 y Fn(u)e Fu(=)522 754 y Fl(N)505 768 y Fe(X)509 865 y Fl(t)p Fq(=1)578 811 y Fo(h)604 787 y Fq(\()p Fl(k)q Fq(\))604 824 y Fl(j)653 811 y Fu(\()p Fo(t)p Fu(\))p Fn(u)734 792 y Fl(T)761 811 y Fo(X)799 818 y Fl(t)814 811 y Fu(\(\006)865 787 y Fq(\()p Fl(k)q Fq(\))865 824 y Fl(j)913 811 y Fu(\))931 792 y Fh(\000)p Fq(1)978 811 y Fo(X)1020 792 y Fl(T)1016 822 y(t)1047 811 y Fn(u)f Fu(=)1153 754 y Fl(N)1136 768 y Fe(X)1140 865 y Fl(t)p Fq(=1)1209 811 y Fo(h)1235 787 y Fq(\()p Fl(k)q Fq(\))1235 824 y Fl(j)1284 811 y Fu(\()p Fo(t)p Fu(\))p Fn(v)1365 792 y Fl(T)1392 811 y Fu(\(\006)1443 787 y Fq(\()p Fl(k)q Fq(\))1443 824 y Fl(j)1491 811 y Fu(\))1509 792 y Fh(\000)p Fq(1)1556 811 y Fn(v)h Fm(\025)g Fu(0)224 953 y(where)j Fn(v)e Fu(=)g Fo(X)489 937 y Fl(T)485 965 y(t)516 953 y Fn(u)p Fu(.)21 b(F)l(rom)15 b(the)h(note)f (immediately)j(follo)o(wing)e(Eq.)22 b(\(15\)\),)14 b(w)o(e)h(kno)o(w) 224 1018 y(that)k(\006)360 994 y Fq(\()p Fl(k)q Fq(\))360 1031 y Fl(j)429 1018 y Fu(giv)o(en)h(b)o(y)g(Eq.)35 b(\(19\))18 b(is)j(p)q(ositiv)o(e)g(de\014nite)g(and)f(in)o(v)o(ertible)i(for)d (eac)o(h)h Fo(k)224 1074 y Fu(with)c(probabilit)o(y)h(one.)j(Th)o(us,) 15 b(with)h(probabilit)o(y)h(one,)e(the)g(equalit)o(y)h(of)f(the)h(ab)q (o)o(v)o(e)224 1131 y(equation)j(holds)f(only)h(when)g Fn(v)e Fu(=)h(0)g(for)f(an)o(y)h Fn(u)p Fu(,)g(whic)o(h)h(is)g(imp)q (ossible.)31 b(Th)o(us)18 b(w)o(e)224 1193 y(ha)o(v)o(e)d(established)i (that)d Fo(R)695 1169 y Fq(\()p Fl(k)q Fq(\))695 1206 y Fl(j)759 1193 y Fu(\(and)h(th)o(us)g(also)g(\()p Fo(R)1109 1169 y Fq(\()p Fl(k)q Fq(\))1109 1206 y Fl(j)1157 1193 y Fu(\))1175 1176 y Fh(\000)p Fq(1)1222 1193 y Fu(\))g(is)g(p)q(ositiv) o(e)i(de\014nite)f(with)224 1249 y(probabilit)o(y)h(one.)295 1311 y(\(iii\))23 b(W)l(e)f(consider)g(Eq.)40 b(\(19\))21 b(for)g(up)q(dating)i(\006)1178 1287 y Fq(\()p Fl(k)q Fq(\))1178 1324 y Fl(j)1226 1311 y Fu(.)40 b(This)23 b(equation)f(can)g(b)q(e)224 1367 y(expanded)16 b(as)f(follo)o(ws)224 1505 y(\006)257 1481 y Fq(\()p Fl(k)q Fq(+1\))257 1519 y Fl(j)392 1505 y Fu(=)42 b(\006)502 1481 y Fq(\()p Fl(k)q Fq(\))502 1519 y Fl(j)561 1505 y Fu(+)721 1475 y(1)p 611 1495 243 2 v 611 1515 a Fe(P)659 1528 y Fl(N)659 1563 y(t)p Fq(=1)727 1549 y Fo(h)753 1525 y Fq(\()p Fl(k)q Fq(\))753 1563 y Fl(j)802 1549 y Fu(\()p Fo(t)p Fu(\))883 1448 y Fl(N)866 1462 y Fe(X)870 1559 y Fl(t)p Fq(=1)939 1505 y Fo(h)965 1481 y Fq(\()p Fl(k)q Fq(\))965 1519 y Fl(j)1014 1505 y Fu(\()p Fo(t)p Fu(\)[)p Fn(y)1108 1486 y Fq(\()p Fl(t)p Fq(\))1159 1505 y Fm(\000)11 b Fn(f)1221 1512 y Fl(j)1239 1505 y Fu(\()p Fn(x)1285 1486 y Fq(\()p Fl(t)p Fq(\))1327 1505 y Fo(;)d Fk(\022)1374 1512 y Fl(j)1392 1505 y Fu(\)][)p Fn(y)1465 1486 y Fq(\()p Fl(t)p Fq(\))1516 1505 y Fm(\000)i Fn(f)1577 1512 y Fl(j)1595 1505 y Fu(\()p Fn(x)1641 1486 y Fq(\()p Fl(t)p Fq(\))1683 1505 y Fo(;)e Fk(\022)1730 1512 y Fl(j)1748 1505 y Fu(\)])1779 1486 y Fl(T)1816 1505 y Fm(\000)j Fu(\006)1895 1481 y Fq(\()p Fl(k)q Fq(\))1895 1519 y Fl(j)392 1660 y Fu(=)42 b(\006)502 1636 y Fq(\()p Fl(k)q Fq(\))502 1673 y Fl(j)561 1660 y Fu(+)680 1622 y(2\006)736 1598 y Fq(\()p Fl(k)q Fq(\))736 1636 y Fl(j)p 611 1649 V 611 1670 a Fe(P)659 1683 y Fl(N)659 1717 y(t)p Fq(=1)727 1704 y Fo(h)753 1680 y Fq(\()p Fl(k)q Fq(\))753 1717 y Fl(j)802 1704 y Fu(\()p Fo(t)p Fu(\))859 1660 y Fo(V)886 1667 y Fq(\006)911 1672 y Fg(j)929 1660 y Fu(\006)962 1636 y Fq(\()p Fl(k)q Fq(\))962 1673 y Fl(j)1010 1660 y Fo(;)839 b Fu(\(36\))224 1800 y(where)224 1929 y Fo(V)251 1936 y Fq(\006)276 1941 y Fg(j)307 1929 y Fu(=)13 b Fm(\000)395 1899 y Fu(1)p 395 1919 23 2 v 395 1961 a(2)448 1873 y Fl(N)431 1886 y Fe(X)435 1983 y Fl(t)p Fq(=1)504 1929 y Fo(h)530 1905 y Fq(\()p Fl(k)q Fq(\))530 1943 y Fl(j)579 1929 y Fu(\()p Fo(t)p Fu(\)\(\006)682 1905 y Fq(\()p Fl(k)q Fq(\))682 1943 y Fl(j)730 1929 y Fu(\))748 1911 y Fh(\000)p Fq(1)795 1929 y Fm(f)p Fu(\006)851 1905 y Fq(\()p Fl(k)q Fq(\))851 1943 y Fl(j)899 1929 y Fm(\000)p Fu([)p Fn(y)976 1911 y Fq(\()p Fl(t)p Fq(\))1018 1929 y Fm(\000)p Fn(f)1069 1936 y Fl(j)1087 1929 y Fu(\()p Fn(x)1133 1911 y Fq(\()p Fl(t)p Fq(\))1175 1929 y Fo(;)8 b Fk(\022)1222 1905 y Fq(\()p Fl(k)q Fq(\))1222 1943 y Fl(j)1271 1929 y Fu(\)][)p Fn(y)1344 1911 y Fq(\()p Fl(t)p Fq(\))1384 1929 y Fm(\000)p Fn(f)1435 1936 y Fl(j)1454 1929 y Fu(\()p Fn(x)1500 1911 y Fq(\()p Fl(t)p Fq(\))1541 1929 y Fo(;)g Fk(\022)1589 1905 y Fq(\()p Fl(k)q Fq(\))1589 1943 y Fl(j)1637 1929 y Fu(\)])1668 1911 y Fl(T)1695 1929 y Fm(g)p Fu(\(\006)1769 1905 y Fq(\()p Fl(k)q Fq(\))1769 1943 y Fl(j)1817 1929 y Fu(\))1835 1911 y Fh(\000)p Fq(1)1882 1929 y Fo(:)224 2067 y Fu(It)15 b(follo)o(ws)h(from)e(Eq.)20 b(\(34\))14 b(that)780 2186 y Fo(V)807 2193 y Fq(\006)832 2198 y Fg(j)862 2186 y Fu(=)934 2155 y Fo(@)s(l)p 915 2175 78 2 v 915 2217 a(@)s Fu(\006)975 2224 y Fl(j)998 2186 y Fm(j)1011 2206 y Fq(\006)1036 2211 y Fg(j)1053 2206 y Fq(=\006)1105 2189 y Fj(\()p Fg(k)q Fj(\))1105 2217 y Fg(j)1151 2186 y Fo(:)224 2307 y Fu(That)h(is,)g(w)o(e)g(ha)o(v)o(e)552 2447 y(\006)585 2423 y Fq(\()p Fl(k)q Fq(+1\))585 2461 y Fl(j)692 2447 y Fu(=)813 2409 y(2\006)869 2385 y Fq(\()p Fl(k)q Fq(\))869 2423 y Fl(j)p 744 2437 243 2 v 744 2457 a Fe(P)792 2470 y Fl(N)792 2504 y(t)p Fq(=1)860 2491 y Fo(h)886 2467 y Fq(\()p Fl(k)q Fq(\))886 2505 y Fl(j)935 2491 y Fu(\()p Fo(t)p Fu(\))1047 2416 y Fo(@)s(l)p 997 2437 143 2 v 997 2478 a(@)s(v)r(ec)p Fu(\006)1122 2485 y Fl(j)1144 2447 y Fm(j)1157 2468 y Fq(\006)1182 2473 y Fg(j)1198 2468 y Fq(=\006)1250 2450 y Fj(\()p Fg(k)q Fj(\))1250 2479 y Fg(j)1296 2447 y Fu(\006)1329 2423 y Fq(\()p Fl(k)q Fq(\))1329 2461 y Fl(j)1378 2447 y Fo(:)p eop %%Page: 16 17 16 16 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(16)224 286 y(Utilizing)18 b(the)d(iden)o(tit)o(y)h(v)o(ec[)p Fo(AB)r(C)s Fu(])d(=)g(\()p Fo(C)966 270 y Fl(T)1003 286 y Fm(\012)d Fo(A)p Fu(\)v)o(ec[)p Fo(B)r Fu(],)15 b(w)o(e)g(obtain)454 410 y(v)o(ec[\006)563 386 y Fq(\()p Fl(k)q Fq(+1\))563 423 y Fl(j)656 410 y Fu(])e(=)844 379 y(2)p 735 399 243 2 v 735 420 a Fe(P)783 433 y Fl(N)783 467 y(t)p Fq(=1)850 454 y Fo(h)876 430 y Fq(\()p Fl(k)q Fq(\))876 467 y Fl(j)925 454 y Fu(\()p Fo(t)p Fu(\))982 410 y(\(\006)1033 386 y Fq(\()p Fl(k)q Fq(\))1033 423 y Fl(j)1091 410 y Fm(\012)e Fu(\006)1170 386 y Fq(\()p Fl(k)q Fq(\))1170 423 y Fl(j)1218 410 y Fu(\))1259 379 y Fo(@)s(l)p 1241 399 78 2 v 1241 441 a(@)s Fu(\006)1301 448 y Fl(j)1324 410 y Fm(j)1337 431 y Fq(\006)1362 436 y Fg(j)1378 431 y Fq(=\006)1430 413 y Fj(\()p Fg(k)q Fj(\))1430 442 y Fg(j)1476 410 y Fo(:)224 572 y Fu(Th)o(us)16 b Fo(P)375 549 y Fq(\()p Fl(k)q Fq(\))369 587 y(\006)394 592 y Fg(j)437 572 y Fu(=)581 555 y Fq(2)p 490 562 200 2 v 490 575 a Fb(P)527 586 y Fg(N)527 611 y(t)p Fj(=1)586 600 y Fl(h)606 583 y Fj(\()p Fg(k)q Fj(\))606 611 y Fg(j)649 600 y Fq(\()p Fl(t)p Fq(\))694 572 y Fu(\(\006)745 549 y Fq(\()p Fl(k)q Fq(\))745 586 y Fl(j)804 572 y Fm(\012)10 b Fu(\006)882 549 y Fq(\()p Fl(k)q Fq(\))882 586 y Fl(j)931 572 y Fu(\).)20 b(Moreo)o(v)o(er,)14 b(for)h(an)g(arbitrary)g(matrix)g Fo(U)5 b Fu(,)224 652 y(w)o(e)15 b(ha)o(v)o(e)509 708 y(v)o(ec[)p Fo(U)5 b Fu(])634 689 y Fl(T)661 708 y Fu(\(\006)712 684 y Fq(\()p Fl(k)q Fq(\))712 722 y Fl(j)770 708 y Fm(\012)11 b Fu(\006)849 684 y Fq(\()p Fl(k)q Fq(\))849 722 y Fl(j)897 708 y Fu(\)v)o(ec[)p Fo(U)5 b Fu(])12 b(=)h(tr\(\006)1187 684 y Fq(\()p Fl(k)q Fq(\))1187 722 y Fl(j)1235 708 y Fo(U)5 b Fu(\006)1304 684 y Fq(\()p Fl(k)q Fq(\))1304 722 y Fl(j)1352 708 y Fo(U)1388 689 y Fl(T)1416 708 y Fu(\))454 808 y(=)13 b(tr)o(\(\(\006)606 784 y Fq(\()p Fl(k)q Fq(\))606 822 y Fl(j)654 808 y Fo(U)5 b Fu(\))708 790 y Fl(T)735 808 y Fu(\(\006)786 784 y Fq(\()p Fl(k)q Fq(\))786 822 y Fl(j)834 808 y Fo(U)g Fu(\)\))12 b(=)h(v)o(ec)q([\006) 1076 784 y Fq(\()p Fl(k)q Fq(\))1076 822 y Fl(j)1124 808 y Fo(U)5 b Fu(])1173 790 y Fl(T)1200 808 y Fu(v)o(ec[\006)1309 784 y Fq(\()p Fl(k)q Fq(\))1309 822 y Fl(j)1357 808 y Fo(U)g Fu(])12 b Fm(\025)h Fu(0)224 908 y(where)20 b(the)g(equalit)o(y) g(holds)g(only)h(when)f(\006)1004 884 y Fq(\()p Fl(k)q Fq(\))1004 922 y Fl(j)1052 908 y Fo(U)25 b Fu(=)c(0,)f(whic)o(h)g(is)g (imp)q(ossible)i(with)224 981 y(probabilit)o(y)15 b(one)e(since)h Fo(U)k Fu(is)c(arbitrary)l(,)f(and)g(\006)1058 957 y Fq(\()p Fl(k)q Fq(\))1058 995 y Fl(j)1120 981 y Fu(is,)h(as)f (indicated)i(ab)q(o)o(v)o(e,)e(p)q(ositiv)o(e)224 1054 y(de\014nite)i(with)e(probabilit)o(y)i(one.)k(Th)o(us)13 b(w)o(e)g(ha)o(v)o(e)g(established)i(that)d Fo(P)1459 1030 y Fq(\()p Fl(k)q Fq(\))1453 1069 y(\006)1478 1074 y Fg(j)1522 1054 y Fu(is)i(p)q(ositiv)o(e)224 1111 y(de\014nite)j(with) e(probabilit)o(y)i(one.)882 b Fa(2)295 1167 y Fu(Theorem)11 b(1)h(can)f(b)q(e)i(used)f(to)f(establish)i(a)e(relationship)j(b)q(et)o (w)o(een)e(the)f(step)h(tak)o(en)224 1224 y(b)o(y)18 b(the)f(EM)g(algorithm)g(and)h(the)g(direction)g(of)f(steep)q(est)h (ascen)o(t.)26 b(Recall)19 b(that)e(for)224 1287 y(a)k(p)q(ositiv)o(e)h (matrix)f Fo(B)r Fu(,)j(w)o(e)d(ha)o(v)o(e)866 1269 y Fl(@)r(l)p 858 1276 48 2 v 858 1310 a(@)r Fk(\022)910 1259 y Fl(T)938 1287 y Fo(B)987 1269 y Fl(@)r(l)p 979 1276 V 979 1310 a(@)r Fk(\022)1055 1287 y Fo(>)i Fu(0.)38 b(This)22 b(implies)h(the)f(follo)o(wing)224 1344 y(corollary)l(.)224 1450 y Fn(Corollary)c(1)23 b Fr(Assume)14 b(that)i(the)g(tr)n(aining)e (set)h Fm(f)p Fu(\()p Fn(x)1150 1433 y Fq(\()p Fl(t)p Fq(\))1191 1450 y Fo(;)8 b Fn(y)1241 1433 y Fq(\()p Fl(t)p Fq(\))1282 1450 y Fu(\))p Fo(;)g(t)k Fu(=)h(1)p Fo(;)8 b Fm(\001)g(\001)g(\001)t Fo(;)g(N)d Fm(g)14 b Fr(c)n(omes)224 1506 y(fr)n(om)i(the)g(mixtur)n(e)g(mo)n(del)f(of)h(Eqs.)k(\(3\))15 b(and)g(\(1\))g(and)h(that)g Fo(N)k Fr(is)15 b(su\016ciently)g(lar)n (ge.)224 1563 y(With)g(pr)n(ob)n(ability)e(one,)h(the)g(se)n(ar)n(ch)g (dir)n(e)n(ction)f(of)h(the)g(EM)g(algorithm)g(has)g(a)g(p)n(ositive) 224 1619 y(pr)n(oje)n(ction)i(on)g(the)h(gr)n(adient)f(asc)n(ent)f(se)n (ar)n(ching)g(dir)n(e)n(ction)g(of)i Fo(l)c Fu(=)g(ln)8 b Fo(L)p Fr(.)295 1726 y Fu(That)15 b(is,)g(the)h(EM)f(algorithm)h(can) f(b)q(e)i(view)o(ed)f(as)f(a)g(mo)q(di\014ed)i(gradien)o(t)f(ascen)o(t) 224 1782 y(algorithm)i(for)f(maximizing)i Fo(l)f Fu(=)f(ln)9 b Fo(L)p Fu(.)27 b(F)l(rom)17 b(Theorem)h(1,)g Fo(B)i Fu(c)o(hanges)e(with)g(the)224 1839 y(iteration)j(step)f Fo(k)q Fu(,)h(th)o(us,)g(the)f(EM)g(algorithm)g(can)h(also)f(b)q(e)h (regarded)f(as)g(a)g(v)m(ari-)224 1895 y(able)c(metric)f(gradien)o(t)h (ascen)o(t)e(algorithm.)20 b(This)c(algorithm)f(searc)o(hes)g(in)h(an)f (uphill)224 1951 y(direction,)21 b(so)d(if)h(the)f(learning)i(rate)e (is)h(appropriate,)g(the)g(searc)o(hing)g(pro)q(cess)g(will)224 2008 y(con)o(v)o(erge)c(to)f(a)h(lo)q(cal)i(maxim)o(um)e(or)f(a)h (saddle)h(p)q(oin)o(t)g(of)f(the)g(lik)o(eliho)q(o)q(d)j Fo(l)13 b Fu(=)g(ln)c Fo(L)p Fu(.)295 2064 y(Similar)17 b(results)g(ha)o(v)o(e)f(b)q(een)h(obtained)g(for)f(unsup)q(ervised)i (mixture)f(mo)q(dels)g(b)o(y)224 2121 y(Xu)j(and)f(Jordan)g(\(1993\))f (and)h(for)g(Hidden)i(Mark)o(o)o(v)c(mo)q(dels)j(b)o(y)f(Baum)g(and)h (Sell)224 2177 y(\(1968\).)e(See)c(Xu)f(and)h(Jordan)g(\(1993\))d(for)i (further)g(discussion)i(of)e(the)h(relationships)224 2234 y(b)q(et)o(w)o(een)i(these)f(theorems.)295 2290 y(W)l(e)g(no)o(w)f(establish)i(the)f(con)o(v)o(ergence)g(of)f(the)h (parameters)f Fn(\002)1388 2272 y Fq(\()p Fl(k)q Fq(\))1436 2290 y Fu(.)20 b(W)l(e)15 b(also)g(pro-)224 2347 y(vide)h(con)o(v)o (ergence)g(rates)e(for)h(b)q(oth)g Fo(l)q Fu(\()p Fn(\002)934 2329 y Fq(\()p Fl(k)q Fq(\))983 2347 y Fu(\))g(and)g Fn(\002)1145 2329 y Fq(\()p Fl(k)q Fq(\))1193 2347 y Fu(.)p eop %%Page: 17 18 17 17 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(17)224 286 y Fn(Theorem)17 b(2)23 b Fr(Assume)f(that)g(the)h(tr)n(aining)e(set)g Fm(Y)27 b Fr(is)21 b(gener)n(ate)n(d)h(by)g(the)g(mixtur)n(e)224 343 y(mo)n(del)f(of)g(Eqs.)33 b(\(3\))20 b(and)h(\(1\))f(and)h(that)g Fo(N)k Fr(is)20 b(su\016ciently)g(lar)n(ge.)34 b(Assume)20 b(fur-)224 399 y(ther)e(that)h Fu(\006)448 406 y Fq(1)467 399 y Fo(;)8 b Fm(\001)g(\001)g(\001)d Fo(;)j Fu(\006)602 406 y Fl(K)653 399 y Fr(ar)n(e)18 b(diagonal)f(and)h(let)g Fn(v)1098 406 y Fq(\006)1123 411 y Fg(j)1159 399 y Fr(b)n(e)f(a)h(ve)n (ctor)g(c)n(onsisting)d(of)j(the)224 456 y(diagonal)e(elements)f(of)i Fu(\006)679 463 y Fl(j)697 456 y Fr(.)295 512 y(L)n(et)e(us)h(denote) 610 609 y Fn(\002)c Fu(=)h([)p Fk(\022)750 590 y Fl(T)750 620 y Fq(0)778 609 y Fo(;)8 b Fk(\022)825 590 y Fl(T)825 620 y Fq(1)853 609 y Fo(;)g Fm(\001)g(\001)g(\001)t Fo(;)g Fk(\022)981 590 y Fl(T)981 620 y(K)1015 609 y Fo(;)g Fn(v)1064 616 y Fq(\006)1089 621 y Fj(1)1107 609 y Fo(;)g Fm(\001)g(\001)g(\001)d Fo(;)j Fn(v)1237 616 y Fq(\006)1262 622 y Fg(K)1293 609 y Fu(])1306 590 y Fl(T)563 706 y Fo(P)19 b Fu(=)13 b(diag)q([)p Fo(P)791 687 y Fq(\()p Fl(k)q Fq(\))785 717 y Fl(g)840 706 y Fo(;)8 b(P)890 713 y Fq(1)909 706 y Fo(;)g Fm(\001)g(\001)g(\001)d Fo(;)j(P)1040 713 y Fl(K)1073 706 y Fo(;)g(P)1123 713 y Fq(\006)1148 718 y Fj(1)1168 706 y Fo(;)g Fm(\001)g(\001)g(\001)t Fo(;)g(P)1298 713 y Fq(\006)1323 719 y Fg(K)1355 706 y Fu(])p Fo(;)224 787 y Fr(and)790 860 y Fo(H)t Fu(\()p Fn(\002)o Fu(\))k(=)986 829 y Fo(@)1013 812 y Fq(2)1032 829 y Fo(l)q Fu(\()p Fn(\002)o Fu(\))p 973 849 163 2 v 973 895 a Fo(@)s Fn(\002)o Fo(@)s Fn(\002)1108 877 y Fl(T)1140 860 y Fo(:)295 956 y Fr(Assume)j(that)i(on)f(a)h(given)e (domain)i Fo(D)981 971 y Fn(\002)295 1031 y Fr(\(i\))368 1007 y Fl(@)389 995 y Fj(2)406 1007 y Fl(g)423 1012 y Fg(j)439 1007 y Fq(\()p Fk(\022)479 1011 y 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y(Then)i(with)i(pr)n(ob)n(ability)f(one,)295 1323 y(\(1\))f(L)n(etting)f Fm(\000)p Fo(M)r(;)8 b Fm(\000)p Fo(m)17 b Fr(\(her)n(e)e Fo(M)j(>)12 b(m)h(>)g Fu(0)p Fr(\))i(b)n(e)g(the)h(minimum)h(and)e(maximum)224 1386 y(eigenvalues)e(of)h(the)g(ne)n(gative)f(de\014nite)g(matrix)i Fu(\()p Fo(P)1118 1355 y Fj(1)p 1118 1361 16 2 v 1118 1381 a(2)1140 1386 y Fu(\))1158 1370 y Fl(T)1185 1386 y Fo(H)t Fu(\()p Fn(\002)o Fu(\)\()p Fo(P)1361 1355 y Fj(1)p 1361 1361 V 1361 1381 a(2)1383 1386 y Fu(\))f Fr(\(or)g(e)n(quivalently)224 1443 y(the)j(minimum)g(and)g(maximum)h (eigenvalues)d(of)i Fo(P)6 b(H)t Fu(\()p Fn(\002)o Fu(\))p Fr(,)17 b(sinc)n(e)e(we)i(have)g Fo(P)6 b(H)t Fn(e)13 b Fu(=)224 1506 y Fo(\025)p Fn(e)j Fr(fr)n(om)g Fu(\()p Fo(P)456 1474 y Fj(1)p 456 1480 V 456 1501 a(2)479 1506 y Fu(\))497 1489 y Fl(T)524 1506 y Fo(H)t(P)606 1474 y Fj(1)p 606 1480 V 606 1501 a(2)628 1506 y Fn(e)d Fu(=)g Fo(\025)p Fn(e)p Fr(\),)i(we)h(have)610 1603 y Fo(l)q Fu(\()p Fn(\002)683 1584 y Fh(\003)703 1603 y Fu(\))9 b Fm(\000)i Fo(l)q Fu(\()p Fn(\002)849 1584 y Fq(\()p Fl(k)q Fq(\))897 1603 y Fu(\))i Fm(\024)g Fo(r)998 1584 y Fl(k)1019 1603 y Fu([)p Fo(l)q Fu(\()p Fn(\002)1104 1584 y Fh(\003)1124 1603 y Fu(\))d Fm(\000)g Fo(l)q Fu(\()p Fn(\002)1270 1610 y Fq(0)1290 1603 y Fu(\)])p Fo(;)304 b Fu(\(37\))496 1734 y Fm(k)p Fo(P)554 1715 y Fh(\000)586 1701 y Fj(1)p 587 1707 V 587 1728 a(2)609 1734 y Fu(\()p Fn(\002)668 1715 y Fq(\()p Fl(k)q Fq(\))727 1734 y Fm(\000)10 b Fn(\002)813 1715 y Fh(\003)832 1734 y Fu(\))p Fm(k)i(\024)h(j)p Fo(r)q Fm(j)981 1715 y Fl(k)q(=)p Fq(2)1037 1662 y Fe(r)p 1083 1662 352 2 v 1096 1703 a Fu(2)p 1088 1723 40 2 v 1088 1765 a Fo(m)1132 1734 y Fu([)p Fo(l)q Fu(\()p Fn(\002)1218 1716 y Fh(\003)1238 1734 y Fu(\))c Fm(\000)i Fo(l)q Fu(\()p Fn(\002)1384 1741 y Fq(0)1403 1734 y Fu(\)])p Fo(;)191 b Fu(\(38\))224 1844 y Fr(wher)n(e)17 b Fo(r)c Fu(=)g(1)d Fm(\000)g Fu(\(1)g Fm(\000)614 1826 y Fl(M)p 614 1833 38 2 v 624 1859 a Fq(2)657 1844 y Fu(\))680 1826 y Fl(m)711 1814 y Fj(2)p 679 1833 49 2 v 685 1859 a Fl(M)745 1844 y Fo(<)j Fu(1)p Fr(.)21 b(We)16 b(also)g(have)h Fu(0)12 b Fo(<)h Fm(j)p Fo(r)q Fm(j)f Fo(<)h Fu(1)j Fr(when)g Fo(M)i(<)13 b Fu(2)p Fr(.)295 1907 y(\(2\))i(F)m(or)h(any)g(initial)g (p)n(oint)g Fn(\002)833 1914 y Fq(0)865 1907 y Fm(2)d Fo(D)946 1922 y Fn(\002)988 1907 y Fr(,)j Fu(lim)1082 1914 y Fl(k)q Fh(!1)1181 1907 y Fn(\002)1222 1889 y Fq(\()p Fl(k)q Fq(\))1283 1907 y Fu(=)d Fn(\002)1372 1889 y Fh(\003)1408 1907 y Fr(when)j Fo(M)i(<)13 b Fu(2)p Fr(.)295 2071 y Fn(Pro)q(of)p Fu(.)46 b(As)24 b(indicated)i(earlier,)h(when)d(the)g (training)h(set)f Fm(f)p Fu(\()p Fn(x)1470 2055 y Fq(\()p Fl(t)p Fq(\))1511 2071 y Fo(;)8 b Fn(y)1561 2055 y Fq(\()p Fl(t)p Fq(\))1602 2071 y Fu(\))p Fo(;)g(t)26 b Fu(=)224 2128 y(1)p Fo(;)8 b Fm(\001)g(\001)g(\001)d Fo(;)j(N)d Fm(g)19 b Fu(is)j(generated)f(from)f(the)h(mixture)h(mo)q(del)g(of)f (Eqs.)37 b(\(3\)\(1\))19 b(and)i Fo(N)26 b Fu(is)224 2192 y(su\016cien)o(tly)16 b(large,)e(\006)607 2168 y Fq(\()p Fl(k)q Fq(\))607 2206 y Fl(j)670 2192 y Fu(remains)h(p)q (ositiv)o(e)h(de\014nite)g(during)f(the)g(learning)h(pro)q(cess.)224 2249 y(Th)o(us,)21 b(under)f(the)g(condition)h(\(i\),)g(it)f(follo)o (ws)g(from)f(Eqs.)33 b(\(5\),)20 b(\(3\))e(and)i(\(1\))f(that)224 2305 y Fo(H)t Fu(\()p Fn(\002)o Fu(\))c(exists)h(and)f(remains)h(con)o (tin)o(uous)g(on)f Fo(D)1070 2321 y Fn(\002)1112 2305 y Fu(.)20 b(Expanding)d(the)e(log)h(lik)o(eliho)q(o)q(d)224 2362 y(in)g(a)f(T)l(a)o(ylor)g(expansion,)h(w)o(e)f(ha)o(v)o(e)224 2480 y Fo(l)q Fu(\()p Fn(\002)o Fu(\))p Fm(\000)p Fo(l)q Fu(\()p Fn(\002)423 2461 y Fh(\003)442 2480 y Fu(\))e(=)g(\()p Fn(\002)o Fm(\000)p Fn(\002)655 2461 y Fh(\003)675 2480 y Fu(\))693 2461 y Fl(T)725 2449 y Fo(@)s(l)q Fu(\()p Fn(\002)n Fu(\))p 725 2469 118 2 v 750 2511 a Fo(@)s Fn(\002)847 2480 y Fm(j)860 2497 y Fn(\002)o Fq(=)p Fn(\002)968 2476 y Fd(\003)989 2480 y Fu(+)1029 2449 y(1)p 1029 2469 23 2 v 1029 2511 a(2)1057 2480 y(\()p Fn(\002)o Fm(\000)p Fn(\002)1191 2461 y Fh(\003)1211 2480 y Fu(\))1229 2461 y Fl(T)1256 2480 y Fo(H)t Fu(\()p Fn(\002)1356 2461 y Fh(\003)1375 2480 y Fu(+)p Fo(\030)r Fu(\()p Fn(\002)p Fm(\000)p Fn(\002)1567 2461 y Fh(\003)1587 2480 y Fu(\)\)\()p Fn(\002)n Fm(\000)p Fn(\002)1756 2461 y Fh(\003)1776 2480 y Fu(\))p eop %%Page: 18 19 18 18 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(18)224 294 y(with)16 b(0)c Fo(<)h(\030)i(<)e Fu(1.)19 b(Since)673 272 y Fl(@)r(l)p Fq(\()p Fn(\002)o Fq(\))p 673 284 100 2 v 692 317 a Fl(@)r Fn(\002)777 294 y Fm(j)790 311 y Fn(\002)p Fq(=)p Fn(\002)899 290 y Fd(\003)931 294 y Fu(=)13 b(0,)i(w)o(e)g(ha)o(v)o(e)341 424 y Fo(l)q Fu(\()p Fn(\002)o Fu(\))9 b Fm(\000)i Fo(l)q Fu(\()p Fn(\002)560 406 y Fh(\003)579 424 y Fu(\))i(=)663 394 y(1)p 663 414 23 2 v 663 455 a(2)690 424 y(\()p Fn(\002)d Fm(\000)g Fn(\002)845 406 y Fh(\003)865 424 y Fu(\))883 406 y Fl(T)910 424 y Fo(H)t Fu(\()p Fn(\002)1010 406 y Fh(\003)1039 424 y Fu(+)h Fo(\030)r Fu(\()p Fn(\002)e Fm(\000)i Fn(\002)1261 406 y Fh(\003)1281 424 y Fu(\)\)\()p Fn(\002)e Fm(\000)h Fn(\002)1471 406 y Fh(\003)1491 424 y Fu(\))p Fo(:)116 b Fu(\(39\))295 534 y(F)l(rom)21 b(Theorem)h(1)g(w)o (e)g(kno)o(w)g(that)g Fo(P)29 b Fu(is)22 b(p)q(ositiv)o(e)i (de\014nite.)42 b(F)l(urthermore,)224 591 y(from)19 b(condition)i (\(ii\),)h Fo(H)t Fu(\()p Fn(\002)o Fu(\))d(is)h(negativ)o(e)g (de\014nite)i(on)e Fo(D)1279 606 y Fn(\002)1321 591 y Fu(.)34 b(This)20 b(implies)i(that)224 658 y Fo(P)265 627 y Fj(1)p 265 633 16 2 v 265 653 a(2)305 658 y Fu(exists)c(and)h(\() p Fo(P)583 627 y Fj(1)p 583 633 V 583 653 a(2)605 658 y Fu(\))623 642 y Fl(T)650 658 y Fo(H)t Fu(\()p Fn(\002)o Fu(\)\()p Fo(P)826 627 y Fj(1)p 826 633 V 826 653 a(2)848 658 y Fu(\))f(is)g(negativ)o(e)h(de\014nite)g(on)f Fo(D)1383 674 y Fn(\002)1425 658 y Fu(.)29 b(Utilizing)20 b(the)224 715 y(Ra)o(yleigh)d(quotien)o(t)e(w)o(e)g(obtain)g(that)g(for)f(an)o(y) h Fn(u)p Fu(,)517 819 y Fm(\000)p Fo(M)5 b Fm(k)p Fn(u)p Fm(k)676 800 y Fq(2)708 819 y Fm(\024)13 b Fn(u)785 800 y Fl(T)813 819 y Fu(\()p Fo(P)871 787 y Fj(1)p 871 793 V 871 813 a(2)893 819 y Fu(\))911 800 y Fl(T)938 819 y Fo(H)t Fu(\()p Fn(\002)o Fu(\)\()p Fo(P)1114 787 y Fj(1)p 1114 793 V 1114 813 a(2)1136 819 y Fu(\))p Fn(u)g Fm(\024)g(\000)p Fo(m)p Fm(k)p Fn(u)p Fm(k)1394 800 y Fq(2)1413 819 y Fo(:)212 b Fu(\(40\))224 919 y(Substituting)17 b(Eq.)i(\(40\))14 b(in)o(to)h(Eq.)20 b(\(39\),)14 b(w)o(e)h(obtain)224 1038 y Fo(l)q Fu(\()p Fn(\002)o Fu(\))p Fm(\000)p Fo(l)q Fu(\()p Fn(\002)423 1019 y Fh(\003)442 1038 y Fu(\))e(=)526 1007 y(1)p 526 1027 23 2 v 526 1069 a(2)553 1038 y(\()p Fn(\002)p Fm(\000)p Fn(\002)688 1019 y Fh(\003)708 1038 y Fu(\))726 1019 y Fl(T)753 1038 y Fu(\()p Fo(P)806 1019 y Fh(\000)838 1005 y Fj(1)p 838 1011 16 2 v 838 1032 a(2)861 1038 y Fu(\))879 1019 y Fl(T)906 1038 y Fu(\()p Fo(P)964 1005 y Fj(1)p 964 1011 V 964 1032 a(2)986 1038 y Fu(\))1004 1019 y Fl(T)1031 1038 y Fo(H)t Fu(\()p Fn(\002)1131 1019 y Fh(\003)1151 1038 y Fu(+)p Fo(\030)r Fu(\()p Fn(\002)p Fm(\000)p Fn(\002)1343 1019 y Fh(\003)1362 1038 y Fu(\)\))p Fo(P)1438 1005 y Fj(1)p 1438 1011 V 1438 1032 a(2)1460 1038 y Fo(P)1495 1019 y Fh(\000)1527 1005 y Fj(1)p 1528 1011 V 1528 1032 a(2)1551 1038 y Fu(\()p Fn(\002)o Fm(\000)p Fn(\002)1685 1019 y Fh(\003)1705 1038 y Fu(\))1638 1107 y(\(41\))592 1184 y Fo(l)q Fu(\()p Fn(\002)o Fu(\))d Fm(\000)g Fo(l)q Fu(\()p Fn(\002)811 1166 y Fh(\003)831 1184 y Fu(\))i Fm(\025)h(\000)949 1154 y Fo(M)p 949 1174 50 2 v 962 1216 a Fu(2)1003 1184 y Fm(k)p Fo(P)1061 1166 y Fh(\000)1093 1152 y Fj(1)p 1094 1158 16 2 v 1094 1179 a(2)1116 1184 y Fu(\()p Fn(\002)d Fm(\000)g Fn(\002)1271 1166 y Fh(\003)1290 1184 y Fu(\))p Fm(k)1331 1166 y Fq(2)1638 1184 y Fu(\(42\))224 1277 y(Moreo)o(v)o(er,)k(w)o(e)g(ha)o(v)o(e)340 1398 y Fm(\000)p Fo(m)p Fm(k)p Fo(P)473 1379 y Fh(\000)505 1366 y Fj(1)p 506 1372 V 506 1392 a(2)529 1398 y Fu(\()p Fn(\002)9 b Fm(\000)h Fn(\002)683 1379 y Fh(\003)703 1398 y Fu(\))p Fm(k)744 1379 y Fq(2)804 1398 y Fm(\025)42 b(j)p Fu(\()p Fn(\002)9 b Fm(\000)i Fn(\002)1048 1379 y Fh(\003)1068 1398 y Fu(\))1086 1379 y Fl(T)1113 1398 y Fu([)1131 1367 y Fo(@)s(l)q Fu(\()p Fn(\002)n Fu(\))p 1131 1388 118 2 v 1156 1429 a Fo(@)s Fn(\002)1263 1398 y Fm(\000)1314 1367 y Fo(@)s(l)q Fu(\()p Fn(\002)n Fu(\))p 1314 1388 V 1339 1429 a Fo(@)s Fn(\002)1436 1398 y Fm(j)1449 1415 y Fn(\002)o Fq(=)p Fn(\002)1557 1394 y Fd(\003)1577 1398 y Fu(])p Fm(j)804 1498 y(\025)42 b(\000k)p Fo(P)980 1466 y Fj(1)p 980 1472 16 2 v 980 1493 a(2)1007 1467 y Fo(@)s(l)q Fu(\()p Fn(\002)o Fu(\))p 1007 1488 118 2 v 1032 1529 a Fo(@)s Fn(\002)1129 1498 y Fm(kk)p Fo(P)1210 1479 y Fh(\000)1242 1466 y Fj(1)p 1243 1472 16 2 v 1243 1493 a(2)1265 1498 y Fu(\()p Fn(\002)9 b Fm(\000)i Fn(\002)1419 1479 y Fh(\003)1439 1498 y Fu(\))p Fm(k)224 1608 y Fu(Th)o(us)628 1677 y Fm(k)p Fo(P)686 1659 y Fh(\000)718 1645 y Fj(1)p 719 1651 V 719 1672 a(2)741 1677 y Fu(\()p Fn(\002)f Fm(\000)g Fn(\002)896 1659 y Fh(\003)916 1677 y Fu(\))p Fm(k)i(\024)1030 1647 y Fu(1)p 1022 1667 40 2 v 1022 1709 a Fo(m)1066 1677 y Fm(k)p Fo(P)1130 1645 y Fj(1)p 1130 1651 16 2 v 1130 1672 a(2)1157 1647 y Fo(@)s(l)q Fu(\()p Fn(\002)n Fu(\))p 1157 1667 118 2 v 1182 1709 a Fo(@)s Fn(\002)1279 1677 y Fm(k)p Fo(:)224 1773 y Fu(T)l(ogether)j (with)g(Eq.)20 b(\(42\),)14 b(w)o(e)h(obtain)603 1900 y Fm(\000k)p Fo(P)701 1868 y Fj(1)p 701 1874 16 2 v 701 1894 a(2)728 1869 y Fo(@)s(l)q Fu(\()p Fn(\002)o Fu(\))p 728 1889 118 2 v 753 1931 a Fo(@)s Fn(\002)851 1900 y Fm(k)874 1881 y Fq(2)906 1900 y Fm(\024)959 1869 y Fu(2)p Fo(m)1022 1853 y Fq(2)p 959 1889 83 2 v 975 1931 a Fo(M)1046 1900 y Fu([)p Fo(l)q Fu(\()p Fn(\002)n Fu(\))10 b Fm(\000)h Fo(l)q Fu(\()p Fn(\002)1277 1881 y Fh(\003)1297 1900 y Fu(\)])p Fo(:)297 b Fu(\(43\))224 2010 y(On)16 b(the)f(other)g(hand,) g(w)o(e)g(also)g(ha)o(v)o(e)224 2131 y Fo(l)q Fu(\()p Fn(\002)o Fu(\))p Fm(\000)p Fo(l)q Fu(\()p Fn(\002)423 2112 y Fq(\()p Fl(k)q Fq(\))472 2131 y Fu(\))d(=)h(\()p Fn(\002)o Fm(\000)p Fn(\002)684 2112 y Fq(\()p Fl(k)q Fq(\))733 2131 y Fu(\))751 2112 y Fl(T)783 2100 y Fo(@)s(l)q Fu(\()p Fn(\002)o Fu(\))p 783 2121 118 2 v 808 2162 a Fo(@)s Fn(\002)905 2131 y Fm(j)918 2155 y Fn(\002)p Fq(=)p Fn(\002)1027 2134 y Fj(\()p Fg(k)q Fj(\))1072 2131 y Fu(+)1112 2100 y(1)p 1112 2121 23 2 v 1112 2162 a(2)1140 2131 y(\()p Fn(\002)o Fm(\000)p Fn(\002)1274 2112 y Fq(\()p Fl(k)q Fq(\))1323 2131 y Fu(\))1341 2112 y Fl(T)1368 2131 y Fo(H)t Fu(\()p Fn(\002)1468 2112 y Fq(\()p Fl(k)q Fq(\))1517 2131 y Fu(+)p Fo(\030)1574 2112 y Fh(0)1586 2131 y Fu(\()p Fn(\002)o Fm(\000)p Fn(\002)1720 2112 y Fq(\()p Fl(k)q Fq(\))1769 2131 y Fu(\)\)\()p Fn(\002)n Fm(\000)p Fn(\002)1938 2112 y Fq(\()p Fl(k)q Fq(\))1987 2131 y Fu(\))224 2245 y(with)22 b(0)g Fo(<)h(\030)459 2228 y Fh(0)493 2245 y Fo(<)g Fu(1.)38 b(By)21 b(Theorem)g(1,)h(w)o(e)f (kno)o(w)g(that)f(for)h(the)g(EM)g(algorithm,)224 2311 y Fn(\002)265 2293 y Fq(\()p Fl(k)q Fq(+1\))362 2311 y Fm(\000)s Fn(\002)442 2293 y Fq(\()p Fl(k)q Fq(\))503 2311 y Fu(=)13 b Fo(P)592 2289 y Fl(@)r(l)p Fq(\()p Fn(\002)n Fq(\))p 592 2301 100 2 v 611 2334 a Fl(@)r Fn(\002)696 2311 y Fm(j)709 2335 y Fn(\002)o Fq(=)p Fn(\002)817 2314 y Fj(\()p Fg(k)q Fj(\))863 2311 y Fu(.)18 b(Utilizing)d(this)d(result)g (in)h(the)f(ab)q(o)o(v)o(e)f(equation,)224 2368 y(w)o(e)k(obtain)224 2480 y Fo(l)q Fu(\()p Fn(\002)297 2461 y Fq(\()p Fl(k)q Fq(+1\))391 2480 y Fu(\))10 b Fm(\000)g Fo(l)q Fu(\()p Fn(\002)537 2461 y Fq(\()p Fl(k)q Fq(\))586 2480 y Fu(\))41 b(=)h Fm(k)p Fo(P)785 2447 y Fj(1)p 785 2453 16 2 v 785 2474 a(2)812 2449 y Fo(@)s(l)q Fu(\()p Fn(\002)o Fu(\))p 812 2469 118 2 v 837 2511 a Fo(@)s Fn(\002)934 2480 y Fm(k)957 2461 y Fq(2)957 2508 y Fn(\002)p Fq(=)p Fn(\002)1066 2487 y Fj(\()p Fg(k)q Fj(\))p eop %%Page: 19 20 19 19 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(19)645 306 y(+)727 275 y(1)p 727 295 23 2 v 727 337 a(2)754 306 y(\()p Fo(P)813 273 y Fj(1)p 813 279 16 2 v 813 300 a(2)840 275 y Fo(@)s(l)q Fu(\()p Fn(\002)n Fu(\))p 840 295 118 2 v 865 337 a Fo(@)s Fn(\002)962 306 y Fm(j)975 330 y Fn(\002)o Fq(=)p Fn(\002)1083 309 y Fj(\()p Fg(k)q Fj(\))1128 306 y Fu(\))1146 287 y Fl(T)1174 306 y Fu(\()p Fo(P)1232 273 y Fj(1)p 1232 279 16 2 v 1232 300 a(2)1254 306 y Fu(\))1272 287 y Fl(T)1299 306 y Fo(H)t Fu(\()p Fn(\002)1399 287 y Fq(\()p Fl(k)q Fq(\))1458 306 y Fu(+)10 b Fo(\030)1525 287 y Fh(0)1537 306 y Fu(\()p Fn(\002)f Fm(\000)i Fn(\002)1691 287 y Fq(\()p Fl(k)q Fq(\))1740 306 y Fu(\)\))p Fo(P)1816 273 y Fj(1)p 1816 279 V 1816 300 a(2)1838 306 y Fu(\()p Fo(P)1897 273 y Fj(1)p 1897 279 V 1897 300 a(2)1924 275 y Fo(@)s(l)q Fu(\()p Fn(\002)n Fu(\))p 1924 295 118 2 v 1949 337 a Fo(@)s Fn(\002)2046 306 y Fm(j)2059 330 y Fn(\002)o Fq(=)p Fn(\002)2167 309 y Fj(\()p Fg(k)q Fj(\))2212 306 y Fu(\))645 406 y Fm(\025)42 b Fu(\(1)9 b Fm(\000)823 375 y Fo(M)p 823 395 50 2 v 836 437 a Fu(2)877 406 y(\))p Fm(k)p Fo(P)958 373 y Fj(1)p 958 379 16 2 v 958 400 a(2)985 375 y Fo(@)s(l)q Fu(\()p Fn(\002)n Fu(\))p 985 395 118 2 v 1010 437 a Fo(@)s Fn(\002)1107 406 y Fm(k)1130 387 y Fq(2)1130 434 y Fn(\002)o Fq(=)p Fn(\002)1238 413 y Fj(\()p Fg(k)q Fj(\))1283 406 y Fo(:)853 b Fu(\(44\))224 513 y(Com)o(bining)16 b(Eq.)k(\(44\))14 b(and)h(Eq.)20 b(\(43\),)14 b(w)o(e)h(obtain)436 635 y Fo(l)q Fu(\()p Fn(\002)509 616 y Fq(\()p Fl(k)q Fq(+1\))603 635 y Fu(\))10 b Fm(\000)g Fo(l)q Fu(\()p Fn(\002)749 616 y Fq(\()p Fl(k)q Fq(\))798 635 y Fu(\))i Fm(\025)h(\000)p Fu(\(1)d Fm(\000)1012 604 y Fo(M)p 1012 624 50 2 v 1025 666 a Fu(2)1066 635 y(\))1089 604 y(2)p Fo(m)1152 587 y Fq(2)p 1089 624 83 2 v 1106 666 a Fo(M)1176 635 y Fu([)p Fo(l)q Fu(\()p Fn(\002)1262 616 y Fq(\()p Fl(k)q Fq(\))1310 635 y Fu(\))g Fm(\000)h Fo(l)q Fu(\()p Fn(\002)1456 616 y Fh(\003)1476 635 y Fu(\)])224 739 y(and)16 b(furthermore)385 849 y Fo(l)q Fu(\()p Fn(\002)458 831 y Fq(\()p Fl(k)q Fq(+1\))552 849 y Fu(\))10 b Fm(\000)g Fo(l)q Fu(\()p Fn(\002)698 831 y Fh(\003)718 849 y Fu(\))41 b Fm(\025)h Fu([1)9 b Fm(\000)i Fu(\(1)e Fm(\000)1046 819 y Fo(M)p 1046 839 50 2 v 1059 881 a Fu(2)1100 849 y(\))1123 819 y(2)p Fo(m)1186 802 y Fq(2)p 1123 839 83 2 v 1139 881 a Fo(M)1210 849 y Fu(][)p Fo(l)q Fu(\()p Fn(\002)1308 831 y Fq(\()p Fl(k)q Fq(\))1356 849 y Fu(\))h Fm(\000)h Fo(l)q Fu(\()p Fn(\002)1502 831 y Fh(\003)1522 849 y Fu(\)])777 953 y Fm(\025)42 b Fu([1)9 b Fm(\000)i Fu(\(1)e Fm(\000)1046 923 y Fo(M)p 1046 943 50 2 v 1059 985 a Fu(2)1100 953 y(\))1123 923 y(2)p Fo(m)1186 906 y Fq(2)p 1123 943 83 2 v 1139 985 a Fo(M)1210 953 y Fu(])1223 935 y Fl(k)1244 953 y Fu([)p Fo(l)q Fu(\()p Fn(\002)1329 960 y Fq(0)1349 953 y Fu(\))h Fm(\000)g Fo(l)q Fu(\()p Fn(\002)1495 935 y Fh(\003)1514 953 y Fu(\)])p Fo(:)80 b Fu(\(45\))295 1072 y(Let)15 b Fo(r)e Fu(=)g([1)c Fm(\000)g Fu(\(1)g Fm(\000)646 1054 y Fl(M)p 646 1061 38 2 v 656 1088 a Fq(2)689 1072 y Fu(\))712 1054 y Fq(2)p Fl(m)761 1042 y Fj(2)p 712 1061 67 2 v 726 1088 a Fl(M)783 1072 y Fu(].)19 b(Multiplying)e(b)q(oth)e(sides)h(of)e(the)h(ab)q(o)o(v)o(e) f(equation)224 1128 y(b)o(y)k(negativ)o(e)f(one,)h(w)o(e)f(obtain)h (Eq.)26 b(\(37\).)f(In)18 b(addition,)h(it)f(is)g(easy)f(to)g(v)o (erify)g(that)224 1185 y(0)c Fo(<)f Fm(j)p Fo(r)q Fm(j)g Fo(<)h Fu(1)i(when)g Fo(M)j(<)13 b Fu(2)i(\(recall)h(that)e Fo(M)j(>)c(m)p Fu(\).)20 b(F)l(urthermore,)14 b(it)h(follo)o(ws)g(from) 224 1241 y(Eq.)20 b(\(40\))14 b(and)h(Eq.)20 b(\(41\))14 b(that)g(w)o(e)h(ha)o(v)o(e)548 1345 y Fo(l)q Fu(\()p Fn(\002)621 1326 y Fq(\()p Fl(k)q Fq(\))669 1345 y Fu(\))10 b Fm(\000)h Fo(l)q Fu(\()p Fn(\002)815 1326 y Fh(\003)835 1345 y Fu(\))i Fm(\024)f(\000)953 1314 y Fo(m)p 953 1334 40 2 v 962 1376 a Fu(2)999 1345 y Fm(k)p Fo(P)1057 1326 y Fh(\000)1089 1312 y Fj(1)p 1089 1318 16 2 v 1089 1339 a(2)1112 1345 y Fu(\()p Fn(\002)1170 1326 y Fq(\()p Fl(k)q Fq(\))1229 1345 y Fm(\000)e Fn(\002)1315 1326 y Fh(\003)1335 1345 y Fu(\))p Fm(k)1376 1326 y Fq(2)224 1452 y Fu(whic)o(h,)16 b(b)o(y)f(Eq.)20 b(\(45\),)13 b(b)q(ecomes)528 1555 y Fm(\000)568 1525 y Fo(m)p 568 1545 40 2 v 577 1586 a Fu(2)613 1555 y Fm(k)p Fo(P)671 1536 y Fh(\000)703 1523 y Fj(1)p 704 1529 16 2 v 704 1550 a(2)726 1555 y Fu(\()p Fn(\002)785 1536 y Fq(\()p Fl(k)q Fq(\))844 1555 y Fm(\000)d Fn(\002)930 1536 y Fh(\003)949 1555 y Fu(\))p Fm(k)990 1536 y Fq(2)1022 1555 y Fm(\025)j Fo(r)1092 1536 y Fl(k)1113 1555 y Fu([)p Fo(l)q Fu(\()p Fn(\002)1199 1562 y Fq(0)1218 1555 y Fu(\))d Fm(\000)h Fo(l)q Fu(\()p Fn(\002)1364 1536 y Fh(\003)1384 1555 y Fu(\)])503 1703 y Fm(k)p Fo(P)561 1684 y Fh(\000)593 1671 y Fj(1)p 593 1677 V 593 1698 a(2)616 1703 y Fu(\()p Fn(\002)674 1684 y Fq(\()p Fl(k)q Fq(\))733 1703 y Fm(\000)f Fn(\002)819 1684 y Fh(\003)839 1703 y Fu(\))p Fm(k)i(\024)h(j)p Fo(r)q Fm(j)988 1684 y Fl(k)q(=)p Fq(2)1043 1632 y Fe(r)p 1089 1632 352 2 v 1102 1672 a Fu(2)p 1094 1693 40 2 v 1094 1734 a Fo(m)1139 1703 y Fu([)p Fo(l)q Fu(\()p Fn(\002)1224 1685 y Fh(\003)1244 1703 y Fu(\))d Fm(\000)g Fo(l)q Fu(\()p Fn(\002)1390 1710 y Fq(0)1410 1703 y Fu(\)])224 1800 y(whic)o(h)24 b(is)g(just)g(Eq.)44 b(\(38\).)g(In)24 b(addition,)i(when)e Fo(M)31 b(<)c Fu(2,)e Fm(j)p Fo(r)q Fm(j)g Fo(<)i Fu(1,)e(w)o(e)e(ha)o (v)o(e)224 1857 y(lim)287 1864 y Fl(k)q Fh(!1)387 1857 y Fn(\002)427 1839 y Fq(\()p Fl(k)q Fq(\))489 1857 y Fu(=)13 b Fn(\002)577 1839 y Fh(\003)612 1857 y Fu(since)k Fo(P)k Fu(is)16 b(p)q(ositiv)o(e)g(de\014nite.)539 b Fa(2)295 1913 y Fu(W)l(e)22 b(see)g(from)f(this)h(theorem)g(that)f(the) h(EM)g(algorithm)g(con)o(v)o(erges)f(linearly)l(.)224 1970 y(Moreo)o(v)o(er,)c(the)h(sp)q(eed)i(of)d(con)o(v)o(ergence)i(dep) q(ends)g(on)f(the)h(di\013erence)g(b)q(et)o(w)o(een)g Fo(M)224 2026 y Fu(and)d Fo(m)p Fu(:)j(the)d(smaller)g(the)f (di\013erence,)h(the)f(faster)f(the)i(con)o(v)o(ergence.)224 2168 y Fx(Theoretical)21 b(analysis)g(of)f(an)g(EM)g(algorithm)i(for)e (the)g(hi-)224 2243 y(erarc)n(hical)k(mixture)g(of)e(exp)r(erts)h(arc)n (hitecture)224 2346 y Fp(An)c(EM)g(algorithm)e(for)h(training)g(the)g (hierarc)n(hical)g(arc)n(hitecture)224 2432 y Fu(The)13 b(ME)e(arc)o(hitecture)i(can)f(b)q(e)h(view)o(ed)g(as)f(an)g(arc)o (hitecture)g(for)g(splitting)h(the)f(input)224 2488 y(space)i(in)o(to)g (regions)g(in)h(whic)o(h)g(di\013eren)o(t)f(lo)q(cal)h(functions)g(are) e(\014t.)20 b(The)14 b(hierarc)o(hical)p eop %%Page: 20 21 20 20 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(20)224 286 y(mixture)23 b(of)f(exp)q(erts)g (\(HME\))g(arc)o(hitecture)h(generalizes)g(this)g(idea)g(to)f(a)g (nested)224 343 y(mo)q(del)12 b(in)f(whic)o(h)g(regions)g(in)h(the)e (input)i(space)f(are)f(split)h(recursiv)o(ely)h(in)o(to)f(subregions) 224 399 y(\(Jordan)21 b(&)h(Jacobs,)g(1992\).)36 b(The)22 b(resulting)g(tree-structured)f(arc)o(hitecture)g(can)224 456 y(b)q(e)e(view)o(ed)g(as)e(a)h(m)o(ulti-resolution)h(function)g (appro)o(ximator)e(in)i(whic)o(h)g(smo)q(othed)224 512 y(piecewise)e(functions)f(are)f(\014t)g(at)g(a)g(v)m(ariet)o(y)g(of)g (lev)o(els)h(of)f(resolution.)295 569 y(As)f(sho)o(wn)g(in)i(Figure)f (2,)f(the)g(HME)g(arc)o(hitecture)h(is)g(a)g(tree.)k(In)c(this)g(tree,) f(eac)o(h)224 625 y(terminal)20 b(no)q(de)g(is)f(an)g(exp)q(ert)g(net)o (w)o(ork,)g(and)g(eac)o(h)g(non)o(terminal)h(no)q(de)f(is)h(a)e(ro)q (ot)224 682 y(of)j(a)f(subtree)i(whic)o(h)g(itself)f(corresp)q(onds)h (to)e(an)h(HME)g(arc)o(hitecture.)37 b(A)o(t)21 b(ev)o(ery)224 738 y(non)o(terminal)16 b(no)q(de)g(in)g(the)g(tree)f(there)g(is)h(a)f (gating)g(net)o(w)o(ork)f(whic)o(h)j(is)e(resp)q(onsible)224 795 y(for)i(the)g(topmost)f(split)i(of)f(the)g(HME)g(arc)o(hitecture)g (ro)q(oted)g(at)g(that)f(no)q(de.)26 b(All)19 b(of)224 851 y(the)g(exp)q(ert)g(net)o(w)o(orks)e(and)i(the)f(gating)g(net)o(w)o (orks)g(in)h(the)g(arc)o(hitecture)f(ha)o(v)o(e)g(the)224 907 y(same)12 b(input)h(v)o(ector)e Fn(x)h Fm(2)h Fo(R)704 891 y Fl(n)727 907 y Fu(.)19 b(In)12 b(the)g(remainder)h(of)e(this)i (section,)f(as)g(in)g(Jordan)g(and)224 964 y(Jacobs)18 b(\(1994\),)e(w)o(e)h(consider)i(the)e(case)h(in)g(whic)o(h)h(the)e (exp)q(ert)h(net)o(w)o(orks)f(and)g(the)224 1020 y(gating)f(net)o(w)o (orks)f(are)h(generalized)i(linear)f(mo)q(dels.)24 b(F)l(urthermore,)15 b(for)h(simplicit)o(y)l(,)224 1077 y(w)o(e)g(consider)h(only)f(the)g (case)g(in)h(whic)o(h)g(the)f(probabilit)o(y)h(mo)q(del)g(for)e(the)h (exp)q(erts)g(is)224 1133 y(Gaussian.)295 1190 y(Let)c(us)g(denote)g(a) f(no)q(de)i(at)e(depth)i Fo(r)f Fu(b)o(y)g Fo(v)1005 1197 y Fl(i)1017 1202 y Fj(0)1034 1197 y Fl(i)1046 1202 y Fj(1)1064 1197 y Fh(\001\001\001)o Fl(i)1105 1201 y Fg(r)1124 1190 y Fu(.)19 b(This)13 b(no)q(de)f(is)g(the)g Fo(i)1496 1173 y Fl(th)1496 1201 y(r)1543 1190 y Fu(daugh)o(ter)224 1246 y(of)20 b(the)g(no)q(de)h Fo(v)501 1253 y Fl(i)513 1258 y Fj(0)531 1253 y Fl(i)543 1258 y Fj(1)560 1253 y Fh(\001\001\001)o Fl(i)601 1258 y Fg(r)q Fd(\000)p Fj(1)660 1246 y Fu(.)35 b(The)21 b(ro)q(ot)e(no)q(de)i(of)f(the)g(tree) g(is)h Fo(v)1333 1253 y Fl(i)1345 1258 y Fj(0)1365 1246 y Fu(.)35 b(The)20 b(n)o(um)o(b)q(er)h(of)224 1303 y(branc)o(hes)f (emitted)g(from)f Fo(v)722 1310 y Fl(i)734 1315 y Fj(0)751 1310 y Fl(i)763 1315 y Fj(1)781 1310 y Fh(\001\001\001)o Fl(i)822 1314 y Fg(r)861 1303 y Fu(is)h(denoted)g(b)o(y)g Fo(K)1194 1310 y Fl(i)1206 1315 y Fj(0)1223 1310 y Fl(i)1235 1315 y Fj(1)1252 1310 y Fh(\001\001\001)p Fl(i)1294 1314 y Fg(r)1313 1303 y Fu(.)33 b(F)l(or)19 b(simplicit)o(y)l(,)k(w)o(e)224 1359 y(can)e(omit)f Fo(i)440 1366 y Fq(0)480 1359 y Fu(and)h(write)g Fo(v)718 1366 y Fl(i)730 1371 y Fj(1)747 1366 y Fh(\001\001\001)o Fl(i)788 1370 y Fg(r)828 1359 y Fu(and)g Fo(K)961 1366 y Fl(i)973 1371 y Fj(1)990 1366 y Fh(\001\001\001)o Fl(i)1031 1370 y Fg(r)1051 1359 y Fu(.)36 b(In)21 b(addition,)h(the)f(output)f (of)g(the)224 1416 y(subtree)c(ro)q(oted)e(at)h Fo(v)604 1423 y Fl(i)616 1428 y Fj(1)633 1423 y Fh(\001\001\001)p Fl(i)675 1427 y Fg(r)709 1416 y Fu(is)h(denoted)537 1569 y Fn(y)565 1576 y Fl(i)577 1581 y Fj(1)594 1576 y Fh(\001\001\001)o Fl(i)635 1580 y Fg(r)668 1569 y Fu(=)715 1504 y Fl(K)745 1509 y Fg(i)756 1516 y Fj(1)774 1509 y Fd(\001\001\001)q Fg(i)813 1513 y(r)741 1526 y Fe(X)718 1624 y Fl(i)730 1629 y Fg(r)q Fj(+1)785 1624 y Fq(=1)840 1569 y Fo(g)862 1576 y Fl(i)874 1581 y Fj(1)891 1576 y Fh(\001\001\001)o Fl(i)932 1580 y Fg(r)950 1576 y Fl(i)962 1581 y Fg(r)q Fj(+1)1020 1569 y Fu(\()p Fn(x)p Fo(;)8 b Fk(\022)1112 1547 y Fl(g)1112 1583 y(i)1124 1588 y Fj(1)1141 1583 y Fh(\001\001\001)p Fl(i)1183 1587 y Fg(r)1202 1569 y Fu(\))p Fn(y)1248 1576 y Fl(i)1260 1581 y Fj(1)1277 1576 y Fh(\001\001\001)o Fl(i)1318 1580 y Fg(r)1336 1576 y Fl(i)1348 1581 y Fg(r)q Fj(+1)224 1718 y Fu(where)20 b Fo(g)382 1725 y Fl(i)394 1730 y Fj(1)411 1725 y Fh(\001\001\001)p Fl(i)453 1729 y Fg(r)470 1725 y Fl(i)482 1730 y Fg(r)q Fj(+1)560 1718 y Fu(is)g(the)g(gating)g(co)q(e\016cien)o(t)h(generated) f(b)o(y)g(the)g(gating)g(net)o(w)o(ork)224 1774 y(attac)o(hed)15 b(at)f Fo(v)487 1781 y Fl(i)499 1786 y Fj(1)517 1781 y Fh(\001\001\001)o Fl(i)558 1785 y Fg(r)577 1774 y Fu(.)20 b(This)c(co)q(e\016cien)o(t)g(satis\014es)671 1863 y Fl(K)701 1868 y Fg(i)712 1875 y Fj(1)729 1868 y Fd(\001\001\001)r Fg(i)769 1872 y(r)697 1885 y Fe(X)673 1983 y Fl(i)685 1988 y Fg(r)q Fj(+1)741 1983 y Fq(=1)796 1928 y Fo(g)818 1935 y Fl(i)830 1940 y Fj(1)847 1935 y Fh(\001\001\001)o Fl(i)888 1939 y Fg(r)905 1935 y Fl(i)917 1940 y Fg(r)q Fj(+1)975 1928 y Fu(\()p Fn(x)p Fo(;)8 b Fk(\022)1068 1906 y Fl(g)1068 1942 y(i)1080 1947 y Fj(1)1097 1942 y Fh(\001\001\001)p Fl(i)1139 1946 y Fg(r)1158 1928 y Fu(\))k(=)h(1)p Fo(;)224 2081 y Fu(for)i(an)o(y)g Fn(x)p Fu(,)f(where)h Fk(\022)593 2059 y Fl(g)593 2095 y(i)605 2100 y Fj(1)623 2095 y Fh(\001\001\001)o Fl(i)664 2099 y Fg(r)699 2081 y Fu(is)g(the)h(parameter)e(v)o(ector)h(of)f(the)i (gating)f(net)o(w)o(ork.)295 2145 y(Giv)o(en)c(a)f(training)h(set)f Fm(Y)17 b Fu(=)c Fm(f)p Fu(\()p Fn(x)852 2129 y Fq(\()p Fl(t)p Fq(\))893 2145 y Fo(;)8 b Fn(y)943 2129 y Fq(\()p Fl(t)p Fq(\))984 2145 y Fu(\))p Fo(;)g(t)k Fu(=)h(1)p Fo(;)8 b Fm(\001)g(\001)g(\001)t Fo(;)g(N)d Fm(g)p Fu(,)10 b(w)o(e)g(w)o(an)o(t)g(to)f(maximize)224 2202 y(the)15 b(lik)o(eliho)q(o)q(d)k(function)d(\(cf.)j(Eq.)h(5\),)14 b(that)h(is,)553 2347 y Fo(L)e Fu(=)g Fo(P)6 b Fu(\()p Fm(f)p Fn(y)750 2328 y Fq(\()p Fl(t)p Fq(\))791 2347 y Fm(g)814 2328 y Fl(N)814 2358 y Fq(1)848 2347 y Fm(jf)p Fn(x)912 2328 y Fq(\()p Fl(t)p Fq(\))953 2347 y Fm(g)976 2328 y Fl(N)976 2358 y Fq(1)1009 2347 y Fu(\))12 b(=)1101 2290 y Fl(N)1087 2304 y Fe(Y)1087 2401 y Fl(t)p Fq(=1)1153 2347 y Fo(P)6 b Fu(\()p Fn(y)1235 2328 y Fq(\()p Fl(t)p Fq(\))1277 2347 y Fm(j)p Fn(x)1318 2328 y Fq(\()p Fl(t)p Fq(\))1359 2347 y Fu(\))p Fo(:)p eop %%Page: 21 22 21 21 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(21)224 286 y(Expanding)16 b(the)g(probabilit)o(y)g(mo)q(del,)g(w)o(e)f(ha)o(v)o(e)521 438 y Fo(P)6 b Fu(\()p Fn(y)603 419 y Fq(\()p Fl(t)p Fq(\))645 438 y Fm(j)p Fn(x)686 419 y Fq(\()p Fl(t)p Fq(\))727 438 y Fu(\))12 b(=)813 372 y Fl(K)843 377 y Fg(i)854 384 y Fj(0)810 394 y Fe(X)805 492 y Fl(i)817 497 y Fj(1)835 492 y Fq(=1)887 438 y Fo(g)909 445 y Fl(i)921 450 y Fj(1)940 438 y Fu(\()p Fn(x)986 419 y Fq(\()p Fl(t)p Fq(\))1028 438 y Fo(;)c Fk(\022)1075 416 y Fl(g)1075 451 y(i)1087 456 y Fj(0)1107 438 y Fu(\))p Fo(P)e Fu(\()p Fn(y)1207 419 y Fq(\()p Fl(t)p Fq(\))1248 438 y Fm(j)p Fn(x)1289 419 y Fq(\()p Fl(t)p Fq(\))1330 438 y Fo(;)i(v)1373 445 y Fl(i)1385 450 y Fj(1)1404 438 y Fu(\))224 583 y(where)224 780 y Fo(P)e Fu(\()p Fn(y)306 761 y Fq(\()p Fl(t)p Fq(\))348 780 y Fm(j)p Fn(x)389 761 y Fq(\()p Fl(t)p Fq(\))430 780 y Fo(;)i(v)473 787 y Fl(i)485 792 y Fj(1)504 780 y Fu(\))k(=)582 633 y Fe(8)582 673 y(>)582 687 y(>)582 701 y(>)582 714 y(>)582 728 y(<)582 810 y(>)582 823 y(>)582 837 y(>)582 851 y(>)582 864 y(:)643 651 y(P)691 657 y Fl(K)721 662 y Fg(i)732 669 y Fj(1)691 699 y Fl(i)703 704 y Fj(2)721 699 y Fq(=1)775 685 y Fo(g)797 692 y Fl(i)809 697 y Fj(1)826 692 y Fl(i)838 697 y Fj(2)858 685 y Fu(\()p Fn(x)904 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1321 y Fh(\001\001\001)o Fl(i)1018 1325 y Fg(r)1053 1314 y Fu(is)g(a)f(terminal)h(no)q(de)1638 1370 y(\(47\))224 1426 y(where)j Fn(f)375 1433 y Fl(i)387 1438 y Fj(1)404 1433 y Fh(\001\001\001)o Fl(i)445 1437 y Fg(r)465 1426 y Fu(\()p Fo(:;)8 b(:)p Fu(\))16 b(is)i(the)g(parameterized)h(function) g(implemen)o(ted)h(b)o(y)e(the)g(exp)q(ert)224 1483 y(net)o(w)o(ork)10 b(at)g(terminal)h(no)q(de)h Fo(v)749 1490 y Fl(i)761 1495 y Fj(1)778 1490 y Fh(\001\001\001)o Fl(i)819 1494 y Fg(r)839 1483 y Fu(,)f(and)g Fk(\022)974 1490 y Fl(i)986 1495 y Fj(1)1003 1490 y Fh(\001\001\001)p Fl(i)1045 1494 y Fg(r)1064 1483 y Fu(,)g(\006)1121 1490 y Fl(i)1133 1495 y Fj(1)1150 1490 y Fh(\001\001\001)p Fl(i)1192 1494 y Fg(r)1222 1483 y Fu(are)f(the)h(parameters)f(of)g(this)224 1539 y(exp)q(ert)18 b(net)o(w)o(ork;)e Fo(P)6 b Fu(\()p Fn(y)638 1522 y Fq(\()p Fl(t)p Fq(\))680 1539 y Fm(j)p Fn(x)721 1522 y Fq(\()p Fl(t)p Fq(\))762 1539 y Fo(;)i(v)805 1546 y Fl(i)817 1551 y Fj(1)834 1546 y Fh(\001\001\001)o Fl(i)875 1550 y Fg(r)895 1539 y Fu(\))16 b(is)i(the)f(probabilit)o(y)h (that)e Fn(y)1420 1522 y Fq(\()p Fl(t)p Fq(\))1479 1539 y Fu(is)i(generated)224 1595 y(from)d(the)g(probabilit)o(y)h(mo)q(del)g (ro)q(oted)f(at)g Fo(v)998 1602 y Fl(i)1010 1607 y Fj(1)1027 1602 y Fh(\001\001\001)p Fl(i)1069 1606 y Fg(r)1103 1595 y Fu(when)h Fn(x)1250 1579 y Fq(\()p Fl(t)p Fq(\))1307 1595 y Fu(is)g(the)f(input.)295 1652 y(T)l(o)i(deriv)o(e)i(an)e(EM)g (algorithm)h(for)f(the)h(HME)f(arc)o(hitecture,)h(w)o(e)g(attac)o(h)e (a)i(set)224 1708 y(of)d(indicator)h(random)f(v)m(ariables)h(to)f(eac)o (h)g(non)o(terminal)h(no)q(de)g Fo(v)1367 1715 y Fl(i)1379 1720 y Fj(1)1396 1715 y Fh(\001\001\001)p Fl(i)1438 1719 y Fg(r)305 1838 y Fo(I)329 1814 y Fq(\()p Fl(t)p Fq(\))325 1852 y Fl(i)337 1857 y Fj(1)354 1852 y Fh(\001\001\001)p Fl(i)396 1856 y Fg(r)428 1838 y Fu(=)476 1774 y Fe(\032)531 1811 y Fu(1)p Fo(;)41 b Fu(if)15 b Fn(y)678 1794 y Fq(\()p Fl(t)p Fq(\))735 1811 y Fu(is)h(generated)f(b)o(y)g(the)g(subtree)h(ro) q(oted)f(at)f Fo(v)1509 1818 y Fl(i)1521 1823 y Fj(1)1538 1818 y Fh(\001\001\001)p Fl(i)1580 1822 y Fg(r)1599 1811 y Fo(;)531 1867 y Fu(0)p Fo(;)41 b Fu(otherwise.)224 1966 y(The)16 b(missing)h(data)f Fm(Y)616 1973 y Fl(mis)693 1966 y Fu(consists)h(of)e(all)i(of)f(the)g(indicator)g(v)m(ariables)i (attac)o(hed)d(to)224 2022 y(the)d(non)o(terminal)g(no)q(des)h (throughout)d(the)i(tree.)19 b(In)12 b(addition,)h(w)o(e)f(denote)f(b)o (y)h Fm(Y)1632 2006 y Fl(mis)1628 2035 y(i)1640 2040 y Fj(1)1658 2035 y Fh(\001\001\001)o Fl(i)1699 2039 y Fg(r)224 2079 y Fu(the)22 b(set)g(consisting)g(of)g(the)g(indicator)g (v)m(ariables)h(attac)o(hed)f(to)f(the)h(non)o(terminal)224 2135 y(no)q(des)16 b(in)g(the)f(subtree)h(ro)q(oted)f(at)f Fo(v)863 2142 y Fl(i)875 2147 y Fj(1)892 2142 y Fh(\001\001\001)p Fl(i)934 2146 y Fg(r)953 2135 y Fu(.)295 2192 y(W)l(e)e(de\014ne)h(the) f(distribution)i(of)e(the)g(complete)g(data)g Fm(Z)k Fu(=)d Fm(fY)t Fo(;)8 b Fm(Y)1436 2199 y Fl(mis)1497 2192 y Fm(g)k Fu(as)f(follo)o(ws)485 2345 y Fo(P)6 b Fu(\()p Fm(Z)t(j)p Fn(\002)o Fu(\))12 b(=)720 2288 y Fl(N)706 2302 y Fe(Y)706 2399 y Fl(t)p Fq(=1)779 2280 y Fl(K)809 2285 y Fg(i)820 2292 y Fj(0)780 2302 y Fe(Y)772 2400 y Fl(i)784 2405 y Fj(1)801 2400 y Fq(=1)846 2345 y Fu([)p Fo(g)881 2352 y Fl(i)893 2357 y Fj(1)912 2345 y Fu(\()p Fn(x)958 2327 y Fq(\()p Fl(t)p Fq(\))1000 2345 y Fo(;)c Fk(\022)1047 2323 y Fl(g)1047 2359 y(i)1059 2364 y Fj(0)1078 2345 y Fu(\))p Fo(P)e Fu(\()p Fm(Z)1182 2352 y Fl(i)1194 2357 y Fj(1)1213 2345 y Fm(j)p Fn(x)1254 2327 y Fq(\()p Fl(t)p Fq(\))1296 2345 y Fo(;)i(v)1339 2352 y Fl(i)1351 2357 y Fj(1)1369 2345 y Fu(\)])1400 2322 y Fl(I)1418 2304 y Fj(\()p Fg(t)p Fj(\))1415 2333 y Fg(i)1426 2340 y Fj(1)1638 2345 y Fu(\(48\))p eop %%Page: 22 23 22 22 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(22)224 286 y(where)224 485 y Fo(P)6 b Fu(\()p Fm(Z)310 492 y Fl(i)322 497 y Fj(1)342 485 y Fm(j)p Fn(x)383 466 y Fq(\()p Fl(t)p 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Fj(1)1425 835 y Fh(\001\001\001)o Fl(i)1466 839 y Fg(r)1483 835 y Fl(i)1495 840 y Fg(r)q Fj(+1)1553 828 y Fm(j)p Fn(x)1594 811 y Fq(\()p Fl(t)p Fq(\))1636 828 y Fo(;)i(v)1679 835 y Fl(i)1691 840 y Fj(1)1707 835 y Fh(\001\001\001)p Fl(i)1749 839 y Fg(r)1766 835 y Fl(i)1778 840 y Fg(r)q Fj(+1)1836 828 y Fu(\)])1867 801 y Fl(I)1885 783 y Fj(\()p Fg(t)p Fj(\))1882 812 y Fg(i)1893 819 y Fj(1)1910 812 y Fd(\001\001\001)q Fg(i)1949 816 y(r)1967 812 y(i)1978 819 y(r)q Fj(+1)2038 828 y Fo(;)936 889 y Fu(if)16 b Fo(v)1000 896 y Fl(i)1012 901 y Fj(1)1030 896 y Fh(\001\001\001)o Fl(i)1071 900 y Fg(r)1105 889 y Fu(is)g(a)f(non)o(terminal)h(no)q(de)q Fo(;)905 943 y Fq(1)p 760 950 308 2 v 760 981 a(\(2)p Fl(\031)q Fq(\))827 971 y Fg(m=)p Fj(2)887 981 y Fh(j)p Fq(\006)922 986 y Fg(i)933 993 y Fj(1)950 986 y Fd(\001\001\001)r Fg(i)990 990 y(r)1009 981 y Fh(j)1019 971 y Fj(1)p Fg(=)p Fj(2)1072 961 y Fo(e)1093 937 y Fh(f\000)1143 924 y Fj(1)p 1144 930 16 2 v 1144 951 a(2)1164 937 y Fq([)p Ff(y)1196 926 y Fj(\()p Fg(t)p Fj(\))1234 937 y Fh(\000)p Ff(f)1273 942 y Fg(i)1284 949 y Fj(1)1302 942 y Fd(\001\001\001)q Fg(i)1341 946 y(r)1361 937 y Fq(\()p Ff(x)1396 926 y Fj(\()p Fg(t)p Fj(\))1434 937 y Fl(;)p Fk(\022)1471 942 y Fg(i)1482 949 y Fj(1)1499 942 y Fd(\001\001\001)q Fg(i)1538 946 y(r)1558 937 y Fq(\)])1582 926 y Fg(T)1606 937 y Fq(\006)1631 923 y Fd(\000)p Fj(1)1631 949 y Fg(i)1642 956 y Fj(1)1660 949 y Fd(\001\001\001)q Fg(i)1699 953 y(r)1719 937 y Fq([)p Ff(y)1751 926 y Fj(\()p Fg(t)p Fj(\))1788 937 y Fh(\000)p Ff(f)1827 942 y Fg(i)1838 949 y Fj(1)1857 942 y Fd(\001\001\001)q Fg(i)1896 946 y(r)1915 937 y Fq(\()p Ff(x)1950 926 y Fj(\()p Fg(t)p Fj(\))1989 937 y Fl(;)p Fk(\022)2025 942 y Fg(i)2036 949 y Fj(1)2054 942 y Fd(\001\001\001)q Fg(i)2093 946 y(r)2113 937 y Fq(\)])p Fh(g)2156 961 y Fo(;)936 1033 y Fu(if)g Fo(v)1000 1040 y Fl(i)1012 1045 y Fj(1)1030 1040 y Fh(\001\001\001)o Fl(i)1071 1044 y Fg(r)1105 1033 y Fu(is)g(a)f(terminal)h(no)q(de)1638 1088 y(\(50\))224 1144 y(It)d(is)h(not)f(di\016cult)i(to)d(v)o(erify)h(that)g(this)g (distribution)i(satis\014es)f(Eq.)19 b(\(9\))12 b(as)h(required.)295 1201 y(W)l(e)18 b(no)o(w)f(compute)h(the)g Fo(Q)g Fu(function)h(as)f (required)h(b)o(y)f(the)g(E)f(step)h(of)g(the)g(EM)224 1257 y(algorithm.)i(F)l(rom)14 b(Eq.)20 b(\(10\),)14 b(w)o(e)h(obtain)440 1409 y Fo(Q)p Fu(\()p Fn(\002)o Fm(j)p Fn(\002)587 1391 y Fq(\()p Fl(k)q Fq(\))636 1409 y Fu(\))d(=)731 1353 y Fl(N)714 1366 y Fe(X)718 1463 y Fl(t)p Fq(=1)794 1344 y Fl(K)824 1349 y Fg(i)835 1356 y Fj(0)792 1366 y Fe(X)787 1464 y Fl(i)799 1469 y Fj(1)817 1464 y Fq(=1)869 1409 y Fo(h)895 1386 y Fq(\()p Fl(k)q Fq(\))895 1423 y Fl(i)907 1428 y Fj(1)944 1409 y Fu(\()p Fo(t)p Fu(\))p Fm(f)p Fu(ln)q([)p Fo(g)1092 1416 y Fl(i)1104 1421 y Fj(1)1122 1409 y Fu(\()p Fn(x)1168 1391 y Fq(\()p Fl(t)p Fq(\))1210 1409 y Fo(;)c Fk(\022)1257 1387 y Fl(g)1257 1423 y(i)1269 1428 y Fj(0)1289 1409 y Fu(\)])h(+)h(ln)f Fo(F)1449 1416 y Fl(i)1461 1421 y Fj(1)1480 1409 y Fm(g)224 1553 y Fu(where)279 1686 y Fo(h)305 1662 y Fq(\()p Fl(k)q Fq(\))305 1700 y Fl(i)317 1705 y Fj(1)354 1686 y Fu(\()p Fo(t)p Fu(\))j(=)h Fo(E)s Fu([)p Fo(I)540 1662 y Fq(\()p Fl(t)p Fq(\))536 1700 y Fl(i)548 1705 y Fj(1)581 1686 y Fm(jY)t Fo(;)8 b Fn(\002)688 1667 y Fq(\()p Fl(k)q Fq(\))737 1686 y Fu(])k(=)881 1650 y Fo(g)903 1657 y Fl(i)915 1662 y Fj(1)934 1650 y Fu(\()p Fn(x)980 1634 y Fq(\()p Fl(t)p Fq(\))1022 1650 y Fo(;)c Fk(\022)1069 1626 y Fl(g)q Fq(\()p Fl(k)q Fq(\))1069 1664 y Fl(i)1081 1669 y Fj(0)1136 1650 y Fu(\))p Fo(P)1189 1634 y Fq(\()p Fl(k)q Fq(\))1238 1650 y Fu(\()p Fn(y)1285 1634 y Fq(\()p Fl(t)p Fq(\))1326 1650 y Fm(j)p Fn(x)1367 1634 y Fq(\()p Fl(t)p Fq(\))1408 1650 y Fo(;)g(v)1451 1657 y Fl(i)1463 1662 y Fj(1)1482 1650 y Fu(\))p 815 1675 751 2 v 815 1698 a Fe(P)863 1704 y Fl(K)893 1709 y Fg(i)904 1716 y Fj(0)863 1745 y Fl(i)875 1750 y Fj(1)892 1745 y Fq(=1)947 1732 y Fo(g)969 1739 y Fl(i)981 1744 y Fj(1)1000 1732 y Fu(\()p Fn(x)1046 1719 y Fq(\()p Fl(t)p Fq(\))1088 1732 y Fo(;)g Fk(\022)1135 1708 y Fl(g)q Fq(\()p Fl(k)q Fq(\))1135 1745 y Fl(i)1147 1750 y Fj(0)1202 1732 y Fu(\))p Fo(P)1255 1719 y Fq(\()p Fl(k)q Fq(\))1304 1732 y Fu(\()p Fn(y)1351 1719 y Fq(\()p Fl(t)p Fq(\))1392 1732 y Fm(j)p Fn(x)1433 1719 y Fq(\()p Fl(t)p Fq(\))1474 1732 y Fo(;)g(v)1517 1739 y Fl(i)1529 1744 y Fj(1)1548 1732 y Fu(\))1571 1686 y Fo(;)54 b Fu(\(51\))224 1878 y(ln)9 b Fo(F)299 1885 y Fl(i)311 1890 y Fj(1)343 1878 y Fu(=)391 1800 y Fe(\()448 1820 y(P)496 1825 y Fl(K)526 1830 y Fg(i)537 1837 y Fj(1)496 1867 y Fl(i)508 1872 y Fj(2)525 1867 y Fq(=1)580 1854 y Fo(h)606 1830 y Fq(\()p Fl(k)q Fq(\))606 1867 y Fl(i)618 1872 y Fj(1)636 1867 y Fl(i)648 1872 y Fj(2)667 1854 y Fu(\()p Fo(t)p Fu(\))p Fm(f)p Fu(ln[)p Fo(g)814 1861 y Fl(i)826 1866 y Fj(1)843 1861 y Fl(i)855 1866 y Fj(2)874 1854 y Fu(\()p Fn(x)920 1837 y Fq(\()p Fl(t)p Fq(\))962 1854 y Fo(;)f Fk(\022)1009 1831 y Fl(g)1009 1867 y(i)1021 1872 y Fj(1)1041 1854 y Fu(\)])h(+)h(ln)f Fo(F)1201 1861 y Fl(i)1213 1866 y Fj(1)1230 1861 y Fl(i)1242 1866 y Fj(2)1262 1854 y Fm(g)p Fo(;)41 b Fu(if)15 b Fo(v)1402 1861 y Fl(i)1414 1866 y Fj(1)1449 1854 y Fu(is)h(a)f(non)o(terminal)g (no)q(de)q Fo(;)448 1913 y Fu(ln)9 b Fo(P)d Fu(\()p Fn(y)576 1897 y Fq(\()p Fl(t)p Fq(\))617 1913 y Fm(j)p Fn(x)658 1897 y Fq(\()p Fl(t)p Fq(\))700 1913 y Fo(;)i(v)743 1920 y Fl(i)755 1925 y Fj(1)774 1913 y Fu(\))p Fo(;)534 b Fu(if)15 b Fo(v)1402 1920 y Fl(i)1414 1925 y Fj(1)1449 1913 y Fu(is)h(a)f(terminal)g(no)q(de)224 2050 y Fo(h)250 2026 y Fq(\()p Fl(k)q Fq(\))250 2063 y Fl(i)262 2068 y Fj(1)280 2063 y Fl(i)292 2068 y Fj(2)311 2050 y Fu(\()p Fo(t)p Fu(\))d(=)h Fo(E)s Fu([)p Fo(I)497 2026 y Fq(\()p Fl(t)p Fq(\))493 2063 y Fl(i)505 2068 y Fj(1)522 2063 y Fl(i)534 2068 y Fj(2)553 2050 y Fm(jY)t Fo(;)8 b Fn(\002)660 2031 y Fq(\()p Fl(k)q Fq(\))709 2050 y Fo(;)g(I)754 2026 y Fq(\()p Fl(t)p Fq(\))750 2063 y Fl(i)762 2068 y Fj(1)808 2050 y Fu(=)13 b(1])f(=)1023 2014 y Fo(g)1045 2021 y Fl(i)1057 2026 y Fj(1)1074 2021 y Fl(i)1086 2026 y Fj(2)1105 2014 y Fu(\()p Fn(x)1151 1997 y Fq(\()p Fl(t)p Fq(\))1193 2014 y Fo(;)c Fk(\022)1240 1990 y Fl(g)q Fq(\()p Fl(k)q Fq(\))1240 2027 y Fl(i)1252 2032 y Fj(1)1307 2014 y Fu(\))p Fo(P)1360 1997 y Fq(\()p Fl(k)q Fq(\))1409 2014 y Fu(\()p Fn(y)1456 1997 y Fq(\()p Fl(t)p Fq(\))1497 2014 y Fm(j)p Fn(x)1538 1997 y Fq(\()p Fl(t)p Fq(\))1579 2014 y Fo(;)g(v)1622 2021 y Fl(i)1634 2026 y Fj(1)1651 2021 y Fl(i)1663 2026 y Fj(2)1682 2014 y Fu(\))p 957 2039 810 2 v 957 2062 a Fe(P)1005 2067 y Fl(K)1035 2072 y Fg(i)1046 2079 y Fj(1)1005 2109 y Fl(i)1017 2114 y Fj(2)1034 2109 y Fq(=1)1089 2096 y Fo(g)1111 2103 y Fl(i)1123 2108 y Fj(1)1140 2103 y Fl(i)1152 2108 y Fj(2)1171 2096 y Fu(\()p Fn(x)1217 2082 y Fq(\()p Fl(t)p Fq(\))1259 2096 y Fo(;)g Fk(\022)1306 2072 y Fl(g)q Fq(\()p Fl(k)q Fq(\))1306 2109 y Fl(i)1318 2114 y Fj(1)1373 2096 y Fu(\))p Fo(P)1426 2082 y Fq(\()p Fl(k)q Fq(\))1475 2096 y Fu(\()p Fn(y)1522 2082 y Fq(\()p Fl(t)p Fq(\))1563 2096 y Fm(j)p Fn(x)1604 2082 y Fq(\()p Fl(t)p Fq(\))1645 2096 y Fo(;)g(v)1688 2103 y Fl(i)1700 2108 y Fj(1)1717 2103 y Fl(i)1729 2108 y Fj(2)1748 2096 y Fu(\))1771 2050 y Fo(;)1638 2152 y Fu(\(52\))224 2208 y(and)16 b(recursiv)o(ely)224 2400 y(ln)9 b Fo(F)299 2407 y Fl(i)311 2412 y Fj(1)328 2407 y Fh(\001\001\001)p Fl(i)370 2411 y Fg(r)402 2400 y Fu(=)450 2266 y Fe(8)450 2306 y(>)450 2320 y(>)450 2334 y(>)450 2347 y(<)450 2429 y(>)450 2443 y(>)450 2456 y(>)450 2470 y(:)511 2283 y(P)559 2289 y Fl(K)589 2294 y Fg(i)600 2301 y Fj(1)617 2294 y Fd(\001\001\001)q Fg(i)656 2298 y(r)559 2331 y Fl(i)571 2336 y Fg(r)q Fj(+1)627 2331 y Fq(=1)685 2317 y Fo(h)711 2293 y Fq(\()p Fl(k)q Fq(\))711 2331 y Fl(i)723 2336 y Fj(1)741 2331 y Fh(\001\001\001)o Fl(i)782 2335 y Fg(r)800 2331 y Fl(i)812 2336 y Fg(r)q Fj(+1)870 2317 y Fu(\()p Fo(t)p Fu(\))p Fm(f)p Fu(ln[)p Fo(g)1017 2324 y Fl(i)1029 2329 y Fj(1)1046 2324 y Fh(\001\001\001)o Fl(i)1087 2328 y Fg(r)1104 2324 y Fl(i)1116 2329 y Fg(r)q Fj(+1)1174 2317 y Fu(\()p Fn(x)p Fo(;)f Fk(\022)1267 2295 y Fl(g)1267 2331 y(i)1279 2336 y Fj(1)1296 2331 y Fh(\001\001\001)o Fl(i)1337 2335 y Fg(r)1357 2317 y Fu(\)])h(+)i(ln)d Fo(F)1517 2324 y Fl(i)1529 2329 y Fj(1)1547 2324 y Fh(\001\001\001)o Fl(i)1588 2328 y Fg(r)1605 2324 y Fl(i)1617 2329 y Fg(r)q Fj(+1)1675 2317 y Fm(g)p Fo(;)693 2378 y Fu(if)15 b Fo(v)756 2385 y Fl(i)768 2390 y Fj(1)786 2385 y Fh(\001\001\001)o Fl(i)827 2389 y Fg(r)862 2378 y Fu(is)g(a)g(non)o(terminal)h(no)q(de)q Fo(;)511 2437 y Fu(ln)8 b Fo(P)e Fu(\()p Fn(y)638 2420 y Fq(\()p Fl(t)p Fq(\))680 2437 y Fm(j)p Fn(x)721 2420 y Fq(\()p Fl(t)p Fq(\))762 2437 y Fo(;)i(v)805 2444 y Fl(i)817 2449 y Fj(1)834 2444 y Fh(\001\001\001)o Fl(i)875 2448 y Fg(r)895 2437 y Fu(\))p Fo(;)693 2493 y Fu(if)15 b Fo(v)756 2500 y Fl(i)768 2505 y Fj(1)786 2500 y Fh(\001\001\001)o Fl(i)827 2504 y Fg(r)862 2493 y Fu(is)g(a)g(terminal)h(no)q(de)p eop %%Page: 23 24 23 23 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(23)248 290 y Fo(h)274 266 y Fq(\()p Fl(k)q Fq(\))274 303 y Fl(i)286 308 y Fj(1)304 303 y Fh(\001\001\001)o Fl(i)345 307 y Fg(r)362 303 y Fl(i)374 308 y Fg(r)q Fj(+1)432 290 y Fu(\()p Fo(t)p Fu(\))41 b(=)h Fo(E)s Fu([)p Fo(I)676 266 y Fq(\()p Fl(t)p Fq(\))672 303 y Fl(i)684 308 y Fj(1)700 303 y Fh(\001\001\001)p Fl(i)742 307 y Fg(r)759 303 y Fl(i)771 308 y Fg(r)q Fj(+1)829 290 y Fm(jY)t Fo(;)8 b Fn(\002)937 271 y Fq(\()p Fl(k)q Fq(\))985 290 y Fo(;)g(I)1030 266 y Fq(\()p Fl(t)p Fq(\))1026 303 y Fl(i)1038 308 y Fj(1)1084 290 y Fu(=)13 b(1)p Fo(;)8 b(I)1200 266 y Fq(\()p Fl(t)p Fq(\))1196 303 y Fl(i)1208 308 y Fj(1)1224 303 y Fl(i)1236 308 y Fj(2)1268 290 y Fu(=)13 b(1)p Fo(;)8 b Fm(\001)g(\001)g(\001)d Fo(;)j(I)1465 266 y Fq(\()p Fl(t)p Fq(\))1461 303 y Fl(i)1473 308 y Fj(1)1489 303 y Fh(\001\001\001)p Fl(i)1531 307 y Fg(r)1563 290 y Fu(=)13 b(1])525 400 y(=)695 364 y Fo(g)717 371 y Fl(i)729 376 y Fj(1)746 371 y Fh(\001\001\001)o Fl(i)787 375 y Fg(r)804 371 y Fl(i)816 376 y Fg(r)q Fj(+1)874 364 y Fu(\()p Fn(x)920 348 y Fq(\()p Fl(t)p Fq(\))962 364 y Fo(;)8 b Fk(\022)1009 340 y Fl(g)q Fq(\()p Fl(k)q Fq(\))1009 378 y Fl(i)1021 383 y Fj(1)1038 378 y Fh(\001\001\001)p Fl(i)1080 382 y Fg(r)1099 364 y Fu(\))p Fo(P)1152 348 y Fq(\()p Fl(k)q Fq(\))1201 364 y Fu(\()p Fn(y)1248 348 y Fq(\()p Fl(t)p Fq(\))1289 364 y Fm(j)p Fn(x)1330 348 y Fq(\()p Fl(t)p Fq(\))1372 364 y Fo(;)g(v)1415 371 y Fl(i)1427 376 y Fj(1)1443 371 y Fh(\001\001\001)p Fl(i)1485 375 y Fg(r)1502 371 y Fl(i)1514 376 y Fg(r)q Fj(+1)1572 364 y Fu(\))p 607 390 1070 2 v 607 412 a Fe(P)655 418 y Fl(K)685 423 y Fg(i)696 430 y Fj(1)713 423 y Fd(\001\001\001)r Fg(i)753 427 y(r)655 460 y Fl(i)667 465 y Fg(r)q Fj(+1)723 460 y Fq(=1)782 446 y Fo(g)804 453 y Fl(i)816 458 y Fj(1)833 453 y Fh(\001\001\001)o Fl(i)874 457 y Fg(r)892 453 y Fl(i)904 458 y Fg(r)q Fj(+1)962 446 y Fu(\()p Fn(x)1008 433 y Fq(\()p Fl(t)p Fq(\))1049 446 y Fo(;)g Fk(\022)1096 422 y Fl(g)q Fq(\()p Fl(k)q Fq(\))1096 460 y Fl(i)1108 465 y Fj(1)1126 460 y Fh(\001\001\001)o Fl(i)1167 464 y Fg(r)1186 446 y Fu(\))p Fo(P)1239 433 y Fq(\()p Fl(k)q Fq(\))1288 446 y Fu(\()p Fn(y)1335 433 y Fq(\()p Fl(t)p Fq(\))1377 446 y Fm(j)p Fn(x)1418 433 y Fq(\()p Fl(t)p Fq(\))1459 446 y Fo(;)g(v)1502 453 y Fl(i)1514 458 y Fj(1)1531 453 y Fh(\001\001\001)o Fl(i)1572 457 y Fg(r)1589 453 y Fl(i)1601 458 y Fg(r)q Fj(+1)1659 446 y Fu(\))1682 400 y Fo(;)-57 b Fu(\(53\))224 566 y(where)23 b Fk(\022)390 542 y Fl(g)q Fq(\()p Fl(k)q Fq(\))390 580 y Fl(i)402 585 y Fj(1)419 580 y Fh(\001\001\001)o Fl(i)460 584 y Fg(r)502 566 y Fu(is)g(the)g(estimate)f(of)g Fk(\022)916 544 y Fl(g)916 580 y(i)928 585 y Fj(1)945 580 y Fh(\001\001\001)p Fl(i)987 584 y Fg(r)1028 566 y Fu(at)g(iteration)h Fo(k)q Fu(.)41 b Fo(P)6 b Fu(\()p Fn(y)1444 549 y Fq(\()p Fl(t)p Fq(\))1486 566 y Fm(j)p Fn(x)1527 549 y Fq(\()p Fl(t)p Fq(\))1569 566 y Fo(;)i(v)1612 573 y Fl(i)1624 578 y Fj(1)1640 573 y Fh(\001\001\001)o Fl(i)1681 577 y Fg(r)1701 566 y Fu(\))224 630 y(is)21 b(giv)o(en)h(b)o(y)e(Eqs.)36 b(\(46\))20 b(and)h(\(47\))e(and)i Fo(P)1016 613 y Fq(\()p Fl(k)q Fq(\))1065 630 y Fu(\()p Fn(y)1112 613 y Fq(\()p Fl(t)p Fq(\))1154 630 y Fm(j)p Fn(x)1195 613 y Fq(\()p Fl(t)p Fq(\))1236 630 y Fo(;)8 b(v)1279 637 y Fl(i)1291 642 y Fj(1)1308 637 y Fh(\001\001\001)o Fl(i)1349 641 y Fg(r)1368 630 y Fu(\))21 b(means)f(that)g(the)224 686 y(probabilit)o(y)f(is)f(determined)g(with)g(all)h(the)e(parameters)g (in)h(the)f(subtree)h(ro)q(oted)f(at)224 743 y Fo(v)246 750 y Fl(i)258 755 y Fj(1)276 750 y Fh(\001\001\001)o Fl(i)317 754 y Fg(r)351 743 y Fu(b)q(eing)g(\014xed)f(at)e(the)i (estimates)f(obtained)h(in)g(iteration)f Fo(k)q Fu(.)295 799 y(Pro)q(ceeding)e(no)o(w)e(to)g(the)h(M)f(step)h(of)f(the)h(EM)g (algorithm,)g(w)o(e)f(obtain)h(parameter)224 855 y(up)q(dates)i(b)o(y)f (optimizing)i(the)f Fo(Q)f Fu(function.)20 b(If)13 b(the)h(no)q(de)g Fo(v)1248 862 y Fl(i)1260 867 y Fj(1)1277 862 y Fh(\001\001\001)p Fl(i)1319 866 y Fg(r)1351 855 y Fu(is)g(a)f(terminal)h(no)q(de,)224 912 y(b)o(y)j(setting)g(the)g(partial)h(deriv)m(ativ)o(e)g(of)f Fo(Q)g Fu(with)g(resp)q(ect)g(to)g(\006)1339 919 y Fl(i)1351 924 y Fj(1)1368 919 y Fh(\001\001\001)o Fl(i)1409 923 y Fg(r)1446 912 y Fu(equal)h(to)e(zero,)224 968 y(w)o(e)f(obtain)g(an)h (up)q(date)f(for)g(the)g(co)o(v)m(ariance)h(matrices)224 1111 y(\006)257 1087 y Fq(\()p Fl(k)q Fq(+1\))257 1125 y Fl(i)269 1130 y Fj(1)286 1125 y Fh(\001\001\001)p Fl(i)328 1129 y Fg(r)363 1111 y Fu(=)416 1041 y Fe(P)464 1055 y Fl(N)464 1089 y(t)p Fq(=1)532 1075 y Fo(h)558 1052 y Fq(\()p Fl(k)q Fq(\))558 1089 y Fl(i)570 1094 y Fj(1)607 1075 y Fu(\()p Fo(t)p Fu(\))p Fo(h)685 1052 y Fq(\()p Fl(k)q Fq(\))685 1089 y Fl(i)697 1094 y Fj(1)714 1089 y Fl(i)726 1094 y Fj(2)746 1075 y Fu(\()p Fo(t)p Fu(\))8 b Fm(\001)g(\001)g(\001)t Fo(h)891 1052 y Fq(\()p Fl(k)q Fq(\))891 1089 y Fl(i)903 1094 y Fj(1)921 1089 y Fh(\001\001\001)o Fl(i)962 1093 y Fg(r)982 1075 y Fu(\()p Fo(t)p Fu(\)[)p Fn(y)1076 1059 y Fq(\()p Fl(t)p Fq(\))1127 1075 y Fm(\000)i Fn(f)1188 1082 y Fl(i)1200 1087 y Fj(1)1218 1082 y Fh(\001\001\001)o Fl(i)1259 1086 y Fg(r)1278 1075 y Fu(\()p Fn(x)1324 1059 y Fq(\()p Fl(t)p Fq(\))1366 1075 y Fo(;)e Fk(\022)1413 1082 y Fl(i)1425 1087 y Fj(1)1442 1082 y Fh(\001\001\001)p Fl(i)1484 1086 y Fg(r)1503 1075 y Fu(\)][)p Fn(y)1576 1059 y Fq(\()p Fl(t)p Fq(\))1627 1075 y Fm(\000)i Fn(f)1688 1082 y Fl(i)1700 1087 y Fj(1)1718 1082 y Fh(\001\001\001)o Fl(i)1759 1086 y Fg(r)1778 1075 y Fu(\()p Fn(x)1824 1059 y Fq(\()p Fl(t)p Fq(\))1866 1075 y Fo(;)e Fk(\022)1913 1082 y Fl(i)1925 1087 y Fj(1)1942 1082 y Fh(\001\001\001)p Fl(i)1984 1086 y Fg(r)2003 1075 y Fu(\)])2034 1059 y Fl(T)p 416 1101 1645 2 v 930 1121 a Fe(P)978 1134 y Fl(N)978 1169 y(t)p Fq(=1)1046 1155 y Fo(h)1072 1131 y Fq(\()p Fl(k)q Fq(\))1072 1169 y Fl(i)1084 1174 y Fj(1)1121 1155 y Fu(\()p Fo(t)p Fu(\))p Fo(h)1199 1131 y Fq(\()p Fl(k)q Fq(\))1199 1169 y Fl(i)1211 1174 y Fj(1)1228 1169 y Fl(i)1240 1174 y Fj(2)1259 1155 y Fu(\()p Fo(t)p Fu(\))g Fm(\001)g(\001)g(\001)d Fo(h)1405 1131 y Fq(\()p Fl(k)q Fq(\))1405 1169 y Fl(i)1417 1174 y Fj(1)1435 1169 y Fh(\001\001\001)o Fl(i)1476 1173 y Fg(r)1496 1155 y Fu(\()p Fo(t)p Fu(\))2066 1111 y Fo(:)1638 1212 y Fu(\(54\))224 1268 y(T)l(o)18 b(obtain)h(an)g(up)q(date)g(for)f (the)g(parameters)g(of)g(the)h(exp)q(ert)f(net)o(w)o(orks)g(w)o(e)g (di\013er-)224 1325 y(en)o(tiate)f Fo(Q)g Fu(with)g(resp)q(ect)h(to)e Fk(\022)776 1332 y Fl(i)788 1337 y Fj(1)805 1332 y Fh(\001\001\001)p Fl(i)847 1336 y Fg(r)883 1325 y Fu(and)h(\014nd)h(that)e(w)o(e)g(m)o (ust)h(solv)o(e)g(the)g(follo)o(wing)224 1381 y(equation)241 1466 y Fl(N)224 1480 y Fe(X)228 1577 y Fl(t)p Fq(=1)297 1523 y Fo(h)323 1499 y Fq(\()p Fl(k)q Fq(\))323 1537 y Fl(i)335 1542 y Fj(1)372 1523 y Fu(\()p Fo(t)p Fu(\))p Fo(h)450 1499 y Fq(\()p Fl(k)q Fq(\))450 1537 y Fl(i)462 1542 y Fj(1)480 1537 y Fl(i)492 1542 y Fj(2)511 1523 y Fu(\()p Fo(t)p Fu(\))8 b Fm(\001)g(\001)g(\001)d Fo(h)657 1499 y Fq(\()p Fl(k)q Fq(\))657 1537 y Fl(i)669 1542 y Fj(1)686 1537 y 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Fu(\)])k(=)h(0)p Fo(:)1638 1620 y Fu(\(55\))224 1676 y(In)e(the)g(case)f(of)h(linear)g(exp)q(ert)g (net)o(w)o(orks,)f(this)h(equation)g(is)g(a)f(w)o(eigh)o(ted)h(least)g (squares)224 1733 y(equation,)k(whic)o(h)h(can)g(b)q(e)g(solv)o(ed)f (as)g(follo)o(ws)714 1840 y Fk(\022)741 1816 y Fq(\()p Fl(k)q Fq(+1\))741 1854 y Fl(i)753 1859 y Fj(1)770 1854 y Fh(\001\001\001)p Fl(i)812 1858 y Fg(r)848 1840 y Fu(=)e(\()p Fo(R)949 1816 y Fq(\()p Fl(k)q Fq(\))949 1854 y Fl(i)961 1859 y Fj(1)977 1854 y Fh(\001\001\001)o Fl(i)1018 1858 y Fg(r)1038 1840 y Fu(\))1056 1821 y Fh(\000)p Fq(1)1103 1840 y Fn(c)1126 1816 y Fq(\()p Fl(k)q Fq(\))1126 1854 y Fl(i)1138 1859 y Fj(1)1155 1854 y Fh(\001\001\001)p Fl(i)1197 1858 y Fg(r)1216 1840 y Fo(;)224 1942 y Fu(where)426 2075 y Fn(c)449 2051 y Fq(\()p Fl(k)q Fq(\))449 2089 y Fl(i)461 2094 y Fj(1)479 2089 y Fh(\001\001\001)o Fl(i)520 2093 y Fg(r)552 2075 y Fu(=)617 2018 y Fl(N)600 2032 y Fe(X)604 2129 y Fl(t)p Fq(=1)674 2075 y Fo(h)700 2051 y Fq(\()p Fl(k)q Fq(\))700 2089 y Fl(i)712 2094 y Fj(1)749 2075 y Fu(\()p Fo(t)p Fu(\))p Fo(h)827 2051 y Fq(\()p Fl(k)q Fq(\))827 2089 y Fl(i)839 2094 y Fj(1)856 2089 y Fl(i)868 2094 y Fj(2)887 2075 y Fu(\()p Fo(t)p Fu(\))8 b Fm(\001)g(\001)g(\001)d Fo(h)1033 2051 y Fq(\()p Fl(k)q Fq(\))1033 2089 y Fl(i)1045 2094 y Fj(1)1063 2089 y Fh(\001\001\001)o Fl(i)1104 2093 y Fg(r)1123 2075 y Fu(\()p Fo(t)p Fu(\))p Fo(X)1213 2082 y Fl(t)1228 2075 y Fu(\(\006)1279 2051 y Fq(\()p Fl(k)q Fq(\))1279 2089 y Fl(i)1291 2094 y Fj(1)1307 2089 y Fh(\001\001\001)p Fl(i)1349 2093 y Fg(r)1368 2075 y Fu(\))1386 2056 y Fh(\000)p Fq(1)1433 2075 y Fn(y)1462 2056 y Fq(\()p Fl(t)p Fq(\))1504 2075 y Fo(;)224 2215 y Fu(and)422 2303 y Fo(R)457 2279 y Fq(\()p Fl(k)q Fq(\))457 2316 y Fl(i)469 2321 y Fj(1)485 2316 y Fh(\001\001\001)p Fl(i)527 2320 y Fg(r)559 2303 y Fu(=)624 2246 y Fl(N)607 2260 y Fe(X)611 2357 y Fl(t)p Fq(=1)680 2303 y Fo(h)706 2279 y Fq(\()p Fl(k)q Fq(\))706 2316 y Fl(i)718 2321 y Fj(1)755 2303 y Fu(\()p Fo(t)p Fu(\))p Fo(h)833 2279 y Fq(\()p Fl(k)q Fq(\))833 2316 y Fl(i)845 2321 y Fj(1)862 2316 y Fl(i)874 2321 y Fj(2)894 2303 y Fu(\()p Fo(t)p Fu(\))j Fm(\001)g(\001)g(\001)d Fo(h)1040 2279 y Fq(\()p Fl(k)q Fq(\))1040 2316 y Fl(i)1052 2321 y Fj(1)1069 2316 y Fh(\001\001\001)p Fl(i)1111 2320 y Fg(r)1130 2303 y Fu(\()p Fo(t)p Fu(\))p Fo(X)1220 2310 y Fl(t)1234 2303 y Fu(\(\006)1285 2279 y Fq(\()p Fl(k)q Fq(\))1285 2316 y Fl(i)1297 2321 y Fj(1)1314 2316 y Fh(\001\001\001)o Fl(i)1355 2320 y Fg(r)1375 2303 y Fu(\))1393 2284 y Fh(\000)p Fq(1)1440 2303 y Fo(X)1482 2284 y Fl(T)1478 2314 y(t)1508 2303 y Fo(:)117 b Fu(\(56\))295 2424 y(Finally)l(,)15 b(for)d(an)o(y)h(non)o(terminal)h(no)q(de)g Fo(v)990 2431 y Fl(i)1002 2436 y Fj(1)1020 2431 y Fh(\001\001\001)o Fl(i)1061 2435 y Fg(r)1081 2424 y Fu(,)f(setting)g(the)h(partial)f (deriv)m(ativ)o(e)i(of)224 2488 y Fo(Q)h Fu(with)g(resp)q(ect)g(to)f Fk(\022)619 2466 y Fl(g)619 2502 y(i)631 2507 y Fj(1)648 2502 y Fh(\001\001\001)p Fl(i)690 2506 y Fg(r)725 2488 y Fu(equal)h(to)f(zero,)h(w)o(e)f(ha)o(v)o(e)g(that)g Fk(\022)1309 2464 y Fl(g)q Fq(\()p Fl(k)q Fq(+1\))1309 2502 y Fl(i)1321 2507 y Fj(1)1339 2502 y Fh(\001\001\001)o Fl(i)1380 2506 y Fg(r)1437 2488 y Fu(is)h(the)g(solution)p eop %%Page: 24 25 24 24 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(24)224 286 y(of)15 b(the)g(follo)o(wing)h (nonlinear)h(system)241 376 y Fl(N)224 390 y Fe(X)228 487 y Fl(t)p Fq(=1)297 433 y Fo(h)323 409 y Fq(\()p Fl(k)q Fq(\))323 447 y Fl(i)335 452 y Fj(1)372 433 y Fu(\()p Fo(t)p Fu(\))p Fo(h)450 409 y Fq(\()p Fl(k)q Fq(\))450 447 y Fl(i)462 452 y Fj(1)480 447 y Fl(i)492 452 y Fj(2)511 433 y Fu(\()p Fo(t)p Fu(\))8 b Fm(\001)g(\001)g(\001)d Fo(h)657 409 y Fq(\()p Fl(k)q Fq(\))657 447 y Fl(i)669 452 y Fj(1)686 447 y Fh(\001\001\001)p Fl(i)728 451 y Fg(r)747 433 y Fu(\()p Fo(t)p Fu(\))807 368 y Fl(K)837 373 y Fg(i)848 380 y Fj(1)865 373 y Fd(\001\001\001)q Fg(i)904 377 y(r)832 390 y Fe(X)809 487 y Fl(i)821 492 y Fg(r)q Fj(+1)877 487 y Fq(=1)924 433 y Fu([)p Fo(h)963 409 y Fq(\()p Fl(k)q Fq(\))963 447 y Fl(i)975 452 y Fj(1)992 447 y Fh(\001\001\001)o Fl(i)1033 452 y Fg(r)q Fj(+1)1091 433 y Fu(\()p Fo(t)p Fu(\))p Fm(\000)p Fo(g)1200 440 y Fl(i)1212 445 y Fj(1)1229 440 y Fh(\001\001\001)p Fl(i)1271 445 y Fg(r)q Fj(+1)1329 433 y Fu(\()p Fn(x)1375 414 y Fq(\()p Fl(t)p Fq(\))1416 433 y Fo(;)j Fk(\022)1463 411 y Fl(g)1463 447 y(i)1475 452 y Fj(1)1493 447 y Fh(\001\001\001)o Fl(i)1534 451 y Fg(r)1553 433 y Fu(\)])1589 400 y Fo(@)s(s)1637 407 y Fl(i)1649 412 y Fj(1)1666 407 y Fh(\001\001\001)o Fl(i)1707 412 y Fg(r)q Fj(+1)p 1589 423 177 2 v 1605 464 a Fo(@)s Fk(\022)1659 442 y Fl(g)1659 478 y(i)1671 483 y Fj(1)1688 478 y Fh(\001\001\001)o Fl(i)1729 482 y Fg(r)1783 433 y Fu(=)13 b(0)p Fo(:)1638 538 y Fu(\(57\))224 595 y(As)22 b(in)h(the)g(case)f(of)g(the)g(one-lev)o(el)i(ME)e(arc)o (hitecture)g(\(cf.)41 b(Eq.)g(\(25\))21 b(and)h(Eq.)224 651 y(\(27\)\),)13 b(w)o(e)g(obtain)i(the)f(follo)o(wing)g(Newton)g 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945 y Fe(X)548 1042 y Fl(t)p Fq(=1)618 988 y Fo(h)644 964 y Fq(\()p Fl(k)q Fq(\))644 1002 y Fl(i)656 1007 y Fj(1)693 988 y Fu(\()p Fo(t)p Fu(\))p Fo(h)771 964 y Fq(\()p Fl(k)q Fq(\))771 1002 y Fl(i)783 1007 y Fj(1)800 1002 y Fl(i)812 1007 y Fj(2)831 988 y Fu(\()p Fo(t)p Fu(\))8 b Fm(\001)g(\001)g(\001)d Fo(h)977 964 y Fq(\()p Fl(k)q Fq(\))977 1002 y Fl(i)989 1007 y Fj(1)1007 1002 y Fh(\001\001\001)o Fl(i)1048 1006 y Fg(r)1068 988 y Fu(\()p Fo(t)p Fu(\))1128 923 y Fl(K)1158 928 y Fg(i)1169 935 y Fj(1)1185 928 y Fd(\001\001\001)q Fg(i)1224 932 y(r)1153 945 y Fe(X)1129 1043 y Fl(i)1141 1048 y Fg(r)q Fj(+1)1197 1043 y Fq(=1)1252 988 y Fo(g)1274 995 y Fl(i)1286 1000 y Fj(1)1303 995 y Fh(\001\001\001)o Fl(i)1344 999 y Fg(r)1363 988 y Fu(\()p Fn(x)1409 970 y Fq(\()p Fl(t)p Fq(\))1451 988 y Fo(;)j Fk(\022)1498 964 y Fl(g)q Fq(\()p Fl(k)q Fq(\))1498 1002 y Fl(i)1510 1007 y Fj(1)1527 1002 y Fh(\001\001\001)p Fl(i)1569 1006 y Fg(r)1588 988 y Fu(\))p Fm(\002)468 1124 y(\002)42 b Fu([1)9 b Fm(\000)h Fo(g)657 1131 y Fl(i)669 1136 y Fj(1)686 1131 y Fh(\001\001\001)p Fl(i)728 1135 y Fg(r)747 1124 y Fu(\()p Fn(x)793 1105 y Fq(\()p Fl(t)p Fq(\))835 1124 y Fo(;)e Fk(\022)882 1100 y Fl(g)q Fq(\()p Fl(k)q Fq(\))882 1137 y Fl(i)894 1142 y Fj(1)911 1137 y Fh(\001\001\001)p Fl(i)953 1141 y Fg(r)972 1124 y Fu(\)])1009 1091 y Fo(@)s(s)1057 1098 y Fl(i)1069 1103 y Fj(1)1086 1098 y Fh(\001\001\001)o Fl(i)1127 1103 y Fg(r)q Fj(+1)p 1007 1113 180 2 v 1007 1168 a Fo(@)s Fu(\()p Fk(\022)1079 1144 y Fl(g)q Fq(\()p Fl(k)q Fq(\))1079 1181 y Fl(i)1091 1186 y Fj(1)1108 1181 y Fh(\001\001\001)o Fl(i)1149 1185 y Fg(r)1169 1168 y Fu(\))1211 1091 y Fo(@)s(s)1259 1098 y Fl(i)1271 1103 y Fj(1)1289 1098 y Fh(\001\001\001)o Fl(i)1330 1103 y Fg(r)q Fj(+1)p 1196 1113 207 2 v 1196 1168 a Fo(@)s Fu(\()p Fk(\022)1268 1144 y Fl(g)q Fq(\()p Fl(k)q Fq(\))1268 1181 y Fl(i)1280 1186 y Fj(1)1297 1181 y Fh(\001\001\001)o Fl(i)1338 1185 y Fg(r)1358 1168 y Fu(\))1376 1155 y Fl(T)1638 1124 y Fu(\(59\))224 1263 y(and)356 1392 y Fn(e)380 1368 y Fl(g)q Fq(\()p Fl(k)q Fq(\))380 1405 y Fl(i)392 1410 y Fj(1)409 1405 y Fh(\001\001\001)o Fl(i)450 1409 y Fg(r)511 1392 y Fu(=)605 1335 y Fl(N)588 1349 y Fe(X)592 1446 y Fl(t)p Fq(=1)661 1392 y Fo(h)687 1368 y Fq(\()p Fl(k)q Fq(\))687 1405 y Fl(i)699 1410 y Fj(1)736 1392 y Fu(\()p Fo(t)p Fu(\))p Fo(h)814 1368 y Fq(\()p Fl(k)q Fq(\))814 1405 y Fl(i)826 1410 y Fj(1)844 1405 y Fl(i)856 1410 y Fj(2)875 1392 y Fu(\()p Fo(t)p Fu(\))g Fm(\001)g(\001)g(\001)d Fo(h)1021 1368 y Fq(\()p Fl(k)q Fq(\))1021 1405 y Fl(i)1033 1410 y Fj(1)1050 1405 y Fh(\001\001\001)p Fl(i)1092 1409 y Fg(r)1111 1392 y Fu(\()p Fo(t)p Fu(\))p Fm(\002)511 1547 y(\002)588 1482 y Fl(K)618 1487 y Fg(i)629 1494 y Fj(1)646 1487 y Fd(\001\001\001)r Fg(i)686 1491 y(r)614 1504 y Fe(X)590 1602 y Fl(i)602 1607 y Fg(r)q Fj(+1)658 1602 y Fq(=1)705 1547 y Fu([)p Fo(h)744 1523 y Fq(\()p Fl(k)q Fq(\))744 1561 y Fl(i)756 1566 y Fj(1)773 1561 y Fh(\001\001\001)p Fl(i)815 1566 y Fg(r)q Fj(+1)873 1547 y 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b(computations)g(can)g(b)q(e)h(p)q(erformed)f(via)g(a)g(single)338 2319 y(recursiv)o(e)16 b(pass)f(up)o(w)o(ard)f(in)i(the)g(tree.)280 2417 y(2.)22 b(\(The)15 b(M)g(step\):)20 b(Compute)15 b(the)h(\006)947 2393 y Fq(\()p Fl(k)q Fq(+1\))947 2431 y Fl(i)959 2436 y Fj(1)976 2431 y Fh(\001\001\001)o Fl(i)1017 2435 y Fg(r)1056 2417 y Fu(b)o(y)f(Eq.)21 b(\(54\),)14 b(compute)h(the)h Fk(\022)1607 2393 y Fl(g)q Fq(\()p Fl(k)q Fq(+1\))1607 2431 y Fl(i)1619 2436 y Fj(1)1636 2431 y Fh(\001\001\001)o Fl(i)1677 2435 y Fg(r)338 2488 y Fu(b)o(y)f(Eq.)20 b(\(58\),)13 b(and)j(compute)f(the)g Fk(\022)975 2464 y Fq(\()p Fl(k)q Fq(+1\))975 2502 y Fl(i)987 2507 y Fj(1)1005 2502 y Fh(\001\001\001)o Fl(i)1046 2506 y Fg(r)1084 2488 y Fu(b)o(y)g(Eq.)20 b(\(56\).)p eop %%Page: 25 26 25 25 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(25)p 224 286 1495 5 v 224 370 a(W)l(e)21 b(can)f(think)h(of)f(the)g(E)h(step)f(as)g(assigning)h 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Fh(\001\001\001)p Fl(i)1203 1728 y Fg(r)1222 1710 y Fu([)p Fn(y)1264 1692 y Fq(\()p Fl(t)p Fq(\))1315 1710 y Fm(\000)j Fn(f)1377 1717 y Fl(i)1389 1722 y Fj(1)1406 1717 y Fh(\001\001\001)p Fl(i)1448 1721 y Fg(r)1467 1710 y Fu(\()p Fn(x)1513 1692 y Fq(\()p Fl(t)p Fq(\))1554 1710 y Fo(;)d Fk(\022)1602 1717 y Fl(i)1614 1722 y Fj(1)1631 1717 y Fh(\001\001\001)o Fl(i)1672 1721 y Fg(r)1692 1710 y Fu(\)])p Fo(;)-82 b Fu(\(62\))273 1911 y Fo(@)s(Q)p 229 1931 150 2 v 229 1973 a(@)s Fu(\006)289 1980 y Fl(i)301 1985 y Fj(1)318 1980 y Fh(\001\001\001)o Fl(i)359 1984 y Fg(r)425 1942 y Fu(=)42 b Fm(\000)542 1911 y Fu(1)p 542 1931 23 2 v 542 1973 a(2)595 1885 y Fl(N)578 1899 y Fe(X)582 1996 y Fl(t)p Fq(=1)651 1942 y Fo(h)677 1918 y Fq(\()p Fl(k)q Fq(\))677 1955 y Fl(i)689 1960 y Fj(1)726 1942 y Fu(\()p Fo(t)p Fu(\))p Fo(h)804 1918 y Fq(\()p Fl(k)q Fq(\))804 1955 y Fl(i)816 1960 y Fj(1)833 1955 y Fl(i)845 1960 y Fj(2)865 1942 y Fu(\()p Fo(t)p Fu(\))8 b Fm(\001)g(\001)g(\001)d Fo(h)1011 1918 y Fq(\()p 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Fo(h)1084 2265 y Fq(\()p Fl(k)q Fq(\))1084 2302 y Fl(i)1096 2307 y Fj(1)1113 2302 y Fl(i)1125 2307 y Fj(2)1145 2289 y Fu(\()p Fo(t)p Fu(\))8 b Fm(\001)g(\001)g(\001) d Fo(h)1291 2265 y Fq(\()p Fl(k)q Fq(\))1291 2302 y Fl(i)1303 2307 y Fj(1)1320 2302 y Fh(\001\001\001)p Fl(i)1362 2306 y Fg(r)1381 2289 y Fu(\()p Fo(t)p Fu(\))p Fm(\002)419 2444 y(\002)496 2379 y Fl(K)526 2384 y Fg(i)537 2391 y Fj(1)554 2384 y Fd(\001\001\001)r Fg(i)594 2388 y(r)522 2401 y Fe(X)498 2498 y Fl(i)510 2503 y Fg(r)q Fj(+1)566 2498 y Fq(=1)613 2444 y Fu([)p Fo(h)652 2420 y Fq(\()p Fl(k)q Fq(\))652 2457 y Fl(i)664 2462 y Fj(1)681 2457 y Fh(\001\001\001)p Fl(i)723 2462 y Fg(r)q Fj(+1)781 2444 y Fu(\()p Fo(t)p Fu(\))10 b Fm(\000)g Fo(g)910 2451 y Fl(i)922 2456 y Fj(1)939 2451 y Fh(\001\001\001)o Fl(i)980 2456 y Fg(r)q Fj(+1)1038 2444 y Fu(\()p Fn(x)1084 2425 y Fq(\()p Fl(t)p Fq(\))1126 2444 y Fo(;)1139 2425 y Fq(\()p Fl(k)q Fq(\))1195 2444 y Fk(\022)1222 2422 y Fl(g)1222 2457 y(i)1234 2462 y Fj(1)1251 2457 y Fh(\001\001\001)p Fl(i)1293 2461 y Fg(r)1312 2444 y Fu(\)])1348 2411 y Fo(@)s(s)1396 2418 y Fl(i)1408 2423 y Fj(1)1425 2418 y Fh(\001\001\001)o Fl(i)1466 2423 y Fg(r)q Fj(+1)p 1347 2433 177 2 v 1364 2475 a Fo(@)s Fk(\022)1417 2453 y Fl(g)1417 2489 y(i)1429 2494 y Fj(1)1447 2489 y Fh(\001\001\001)o Fl(i)1488 2493 y Fg(r)1529 2444 y Fm(j)1542 2460 y Fk(\022)1568 2439 y Fg(g)1568 2469 y(i)1579 2476 y Fj(1)1597 2469 y Fd(\001\001\001)q Fg(i)1636 2473 y(r)1656 2460 y Fq(=)1683 2450 y Fj(\()p Fg(k)q Fj(\))1726 2460 y Fk(\022)1753 2439 y Fg(g)1753 2469 y(i)1764 2476 y Fj(1)1782 2469 y Fd(\001\001\001)q Fg(i)1821 2473 y(r)1843 2444 y Fo(;)-82 b Fu(\(64\))p eop %%Page: 26 27 26 26 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(26)270 384 y Fo(@)s(Q)p 229 405 144 2 v 229 446 a(@)s Fk(\022)283 453 y Fl(i)295 458 y Fj(1)312 453 y Fh(\001\001\001)o Fl(i)353 457 y Fg(r)431 415 y Fm(j)496 439 y Fk(\022)523 444 y Fg(i)534 451 y Fj(1)552 444 y Fd(\001\001\001)q Fg(i)591 448 y(r)611 439 y Fq(=)p Fk(\022)665 418 y Fj(\()p Fg(k)q Fj(\))665 448 y Fg(i)676 455 y Fj(1)693 448 y Fd(\001\001\001)r Fg(i)733 452 y(r)767 415 y Fu(=)832 358 y Fl(N)815 372 y Fe(X)819 469 y Fl(t)p Fq(=1)888 415 y Fo(h)914 391 y Fq(\()p Fl(k)q Fq(\))914 429 y Fl(i)926 434 y Fj(1)963 415 y Fu(\()p Fo(t)p Fu(\))p Fo(h)1041 391 y Fq(\()p Fl(k)q Fq(\))1041 429 y Fl(i)1053 434 y Fj(1)1070 429 y Fl(i)1082 434 y Fj(2)1102 415 y Fu(\()p Fo(t)p Fu(\))8 b Fm(\001)g(\001)g(\001)d Fo(h)1248 391 y Fq(\()p Fl(k)q Fq(\))1248 429 y Fl(i)1260 434 y Fj(1)1277 429 y Fh(\001\001\001)p Fl(i)1319 433 y Fg(r)1338 415 y Fu(\()p Fo(t)p Fu(\))p Fm(\002)419 554 y(\002)501 519 y Fo(@)s Fn(f)564 503 y Fl(T)544 532 y(i)556 537 y Fj(1)573 532 y Fh(\001\001\001)p Fl(i)615 536 y Fg(r)634 519 y Fu(\()p Fn(x)680 503 y Fq(\()p Fl(t)p Fq(\))722 519 y Fo(;)j Fk(\022)769 526 y Fl(i)781 531 y Fj(1)798 526 y Fh(\001\001\001)o Fl(i)839 530 y Fg(r)859 519 y Fu(\))p 501 544 376 2 v 617 585 a Fo(@)s Fk(\022)671 592 y Fl(i)683 597 y Fj(1)700 592 y Fh(\001\001\001)o Fl(i)741 596 y Fg(r)882 554 y Fm(j)895 579 y Fk(\022)921 584 y Fg(i)932 591 y Fj(1)950 584 y Fd(\001\001\001)q Fg(i)989 588 y(r)1008 579 y Fq(=)p Fk(\022)1063 557 y Fj(\()p Fg(k)q Fj(\))1063 587 y Fg(i)1074 594 y Fj(1)1091 587 y Fd(\001\001\001)r Fg(i)1131 591 y(r)1152 554 y Fu(\006)1185 535 y Fh(\000)p Fq(1)1185 568 y Fl(i)1197 573 y Fj(1)1214 568 y Fh(\001\001\001)p Fl(i)1256 572 y Fg(r)1275 554 y Fu([)p Fn(y)1317 535 y Fq(\()p Fl(t)p Fq(\))1368 554 y Fm(\000)j Fn(f)1430 561 y Fl(i)1442 566 y Fj(1)1459 561 y Fh(\001\001\001)p Fl(i)1501 565 y Fg(r)1520 554 y Fu(\()p Fn(x)1566 535 y Fq(\()p Fl(t)p Fq(\))1607 554 y Fo(;)d Fk(\022)1655 530 y Fq(\()p Fl(k)q Fq(\))1655 568 y Fl(i)1667 573 y Fj(1)1684 568 y Fh(\001\001\001)o Fl(i)1725 572 y Fg(r)1745 554 y Fu(\)])p Fo(;)-82 b Fu(\(65\))273 749 y Fo(@)s(Q)p 229 769 150 2 v 229 811 a(@)s Fu(\006)289 818 y Fl(i)301 823 y Fj(1)318 818 y Fh(\001\001\001)o Fl(i)359 822 y Fg(r)437 780 y Fm(j)502 800 y Fq(\006)527 805 y Fg(i)538 812 y Fj(1)556 805 y Fd(\001\001\001)q Fg(i)595 809 y(r)615 800 y Fq(=\006)667 783 y Fj(\()p Fg(k)q Fj(\))667 811 y Fg(i)678 818 y Fj(1)696 811 y Fd(\001\001\001)r Fg(i)736 815 y(r)770 780 y Fu(=)13 b Fm(\000)858 749 y Fu(1)p 858 769 23 2 v 858 811 a(2)910 723 y Fl(N)893 737 y Fe(X)897 834 y Fl(t)p Fq(=1)967 780 y Fo(h)993 756 y Fq(\()p Fl(k)q Fq(\))993 793 y Fl(i)1005 798 y Fj(1)1042 780 y Fu(\()p Fo(t)p Fu(\))p Fo(h)1120 756 y Fq(\()p Fl(k)q Fq(\))1120 793 y Fl(i)1132 798 y Fj(1)1149 793 y Fl(i)1161 798 y Fj(2)1180 780 y Fu(\()p Fo(t)p Fu(\))8 b Fm(\001)g(\001)g(\001)d Fo(h)1326 756 y Fq(\()p Fl(k)q Fq(\))1326 793 y Fl(i)1338 798 y Fj(1)1356 793 y Fh(\001\001\001)o Fl(i)1397 797 y Fg(r)1416 780 y Fu(\()p Fo(t)p Fu(\)\(\006)1519 756 y Fq(\()p Fl(k)q Fq(\))1519 793 y Fl(i)1531 798 y Fj(1)1548 793 y Fh(\001\001\001)o Fl(i)1589 797 y Fg(r)1609 780 y Fu(\))1627 761 y Fh(\000)p Fq(1)1674 780 y Fm(\002)425 891 y(\002)42 b(f)p Fu(\006)558 867 y Fq(\()p Fl(k)q Fq(\))558 905 y Fl(i)570 910 y Fj(1)587 905 y Fh(\001\001\001)o Fl(i)628 909 y Fg(r)658 891 y Fm(\000)10 b Fu([)p Fn(y)745 873 y Fq(\()p Fl(t)p Fq(\))797 891 y Fm(\000)g Fn(f)858 898 y Fl(i)870 903 y Fj(1)887 898 y Fh(\001\001\001)p Fl(i)929 902 y Fg(r)948 891 y Fu(\()p Fn(x)994 873 y Fq(\()p Fl(t)p Fq(\))1036 891 y Fo(;)e Fk(\022)1083 867 y Fq(\()p Fl(k)q Fq(\))1083 905 y Fl(i)1095 910 y Fj(1)1112 905 y Fh(\001\001\001)p Fl(i)1154 909 y Fg(r)1173 891 y Fu(\)][)p Fn(y)1246 873 y Fq(\()p Fl(t)p Fq(\))1297 891 y Fm(\000)i Fn(f)1358 898 y Fl(i)1370 903 y Fj(1)1387 898 y Fh(\001\001\001)p Fl(i)1429 902 y Fg(r)1448 891 y Fu(\()p Fn(x)1494 873 y Fq(\()p Fl(t)p Fq(\))1536 891 y Fo(;)e Fk(\022)1583 867 y Fq(\()p Fl(k)q Fq(\))1583 905 y Fl(i)1595 910 y Fj(1)1612 905 y Fh(\001\001\001)p Fl(i)1654 909 y Fg(r)1673 891 y Fu(\)])1704 873 y Fl(T)1731 891 y Fm(g)p Fu(\(\006)1805 867 y Fq(\()p Fl(k)q Fq(\))1805 905 y Fl(i)1817 910 y Fj(1)1833 905 y Fh(\001\001\001)p Fl(i)1875 909 y Fg(r)1894 891 y Fu(\))1912 873 y Fh(\000)p Fq(1)1959 891 y Fo(:)-81 b Fu(\(66\))295 988 y(Based)12 b(on)g(these)h(t)o(w)o(o)e(sets)h(of)f(deriv)m(ativ)o(es,)j(w)o(e)e (follo)o(w)g(the)h(same)f(line)h(of)f(though)o(t)224 1045 y(as)g(in)i(the)e(pro)q(of)g(of)g(Theorem)h(1)f(to)g(establish)h (the)g(follo)o(wing)g(theorem)f(for)g(the)h(HME)224 1101 y(arc)o(hitecture.)224 1202 y Fn(Theorem)k(3)23 b Fr(F)m(or)f(the)h (HME)f(ar)n(chite)n(ctur)n(e)g(of)h(Eqs.)39 b(\(46\))22 b(and)h(\(47\),)g(with)g(the)224 1259 y(p)n(ar)n(ameter)17 b(up)n(dates)f(given)f(by)h(A)o(lgorithm)g(3,)g(we)h(have)f(that)g(for) h(every)f(no)n(de)f Fo(v)1628 1266 y Fl(i)1640 1271 y Fj(1)1658 1266 y Fh(\001\001\001)o Fl(i)1699 1270 y Fg(r)506 1377 y Fk(\022)533 1353 y Fl(g)q Fq(\()p Fl(k)q Fq(+1\))533 1390 y Fl(i)545 1395 y Fj(1)563 1390 y Fh(\001\001\001)o Fl(i)604 1394 y Fg(r)655 1377 y Fm(\000)c Fk(\022)728 1353 y Fl(g)q Fq(\()p Fl(k)q Fq(\))728 1390 y Fl(i)740 1395 y Fj(1)757 1390 y Fh(\001\001\001)o Fl(i)798 1394 y Fg(r)859 1377 y Fu(=)42 b Fo(P)971 1353 y Fl(g)q Fq(\()p Fl(k)q Fq(\))965 1390 y Fl(i)977 1395 y Fj(1)995 1390 y Fh(\001\001\001)o Fl(i)1036 1394 y Fg(r)1112 1346 y Fo(@)s(l)p 1060 1366 144 2 v 1060 1408 a(@)s Fk(\022)1114 1386 y Fl(g)1114 1422 y(i)1126 1427 y Fj(1)1143 1422 y Fh(\001\001\001)p Fl(i)1185 1426 y Fg(r)1209 1377 y Fm(j)1222 1401 y Fk(\022)1249 1380 y Fg(g)1249 1410 y(i)1260 1417 y Fj(1)1277 1410 y Fd(\001\001\001)r Fg(i)1317 1414 y(r)1336 1401 y Fq(=)p Fk(\022)1390 1380 y Fg(g)q Fj(\()p Fg(k)q Fj(\))1390 1410 y Fg(i)1401 1417 y Fj(1)1419 1410 y Fd(\001\001\001)q Fg(i)1458 1414 y(r)1480 1377 y Fo(;)524 1493 y Fk(\022)551 1469 y Fq(\()p Fl(k)q Fq(+1\))551 1507 y Fl(i)563 1512 y Fj(1)581 1507 y Fh(\001\001\001)o Fl(i)622 1511 y Fg(r)655 1493 y Fm(\000)11 b Fk(\022)728 1469 y Fq(\()p Fl(k)q Fq(\))728 1507 y Fl(i)740 1512 y Fj(1)757 1507 y Fh(\001\001\001)o Fl(i)798 1511 y Fg(r)859 1493 y Fu(=)42 b Fo(P)971 1469 y Fq(\()p Fl(k)q Fq(\))965 1507 y Fl(i)977 1512 y Fj(1)995 1507 y Fh(\001\001\001)o Fl(i)1036 1511 y Fg(r)1112 1462 y Fo(@)s(l)p 1060 1483 V 1060 1524 a(@)s Fk(\022)1114 1531 y Fl(i)1126 1536 y Fj(1)1143 1531 y Fh(\001\001\001)p Fl(i)1185 1535 y Fg(r)1209 1493 y Fm(j)1222 1517 y Fk(\022)1249 1522 y Fg(i)1260 1529 y Fj(1)1277 1522 y Fd(\001\001\001)r Fg(i)1317 1526 y(r)1336 1517 y Fq(=)p Fk(\022)1390 1496 y Fj(\()p Fg(k)q Fj(\))1390 1526 y Fg(i)1401 1533 y Fj(1)1419 1526 y Fd(\001\001\001)q Fg(i)1458 1530 y(r)1480 1493 y Fo(;)333 1602 y(v)r(ec)p Fu([\006)444 1578 y Fq(\()p Fl(k)q Fq(+1\))444 1616 y Fl(i)456 1621 y Fj(1)472 1616 y Fh(\001\001\001)p Fl(i)514 1620 y Fg(r)537 1602 y Fu(])10 b Fm(\000)g Fo(v)r(ec)p Fu([\006)716 1578 y Fq(\()p Fl(k)q Fq(\))716 1616 y Fl(i)728 1621 y Fj(1)744 1616 y Fh(\001\001\001)p Fl(i)786 1620 y Fg(r)805 1602 y Fu(])41 b(=)h Fo(P)971 1578 y Fq(\()p Fl(k)q Fq(\))965 1616 y(\006)990 1621 y Fg(i)1001 1628 y Fj(1)1019 1621 y Fd(\001\001\001)r Fg(i)1059 1625 y(r)1184 1571 y Fo(@)s(l)p 1085 1592 240 2 v 1085 1633 a(@)s(v)r(ec)p Fu([\006)1223 1640 y Fl(i)1235 1645 y Fj(1)1251 1640 y Fh(\001\001\001)o Fl(i)1292 1644 y Fg(r)1312 1633 y Fu(])1329 1602 y Fm(j)1342 1623 y Fq(\006)1367 1628 y Fg(i)1378 1635 y Fj(1)1396 1628 y Fd(\001\001\001)q Fg(i)1435 1632 y(r)1455 1623 y Fq(=\006)1507 1605 y Fj(\()p Fg(k)q Fj(\))1507 1634 y Fg(i)1518 1641 y Fj(1)1536 1634 y Fd(\001\001\001)q Fg(i)1575 1638 y(r)1597 1602 y Fo(;)28 b Fu(\(67\))224 1723 y Fr(wher)n(e)17 b Fo(l)c Fu(=)g(ln)8 b Fo(L)16 b Fr(is)g(de\014ne)n(d)f(by)i(Eqs.)j(\(5\),)15 b(\(46\))h(and)h (\(47\).)295 1780 y(Mor)n(e)n(over,)22 b(assuming)f(that)h(the)g(tr)n (aining)f(set)g Fm(Y)26 b Fr(is)21 b(gener)n(ate)n(d)g(by)g(the)h(HME) 224 1836 y(mo)n(del)d(of)g(Eqs.)28 b(\(46\))19 b(and)g(\(47\),)g(and)g (that)h(the)f(numb)n(er)g Fo(N)k Fr(is)c(su\016ciently)f(lar)n(ge,)224 1901 y(then)i Fo(P)364 1877 y Fl(g)q Fq(\()p Fl(k)q Fq(\))358 1914 y Fl(i)370 1919 y Fj(1)387 1914 y Fh(\001\001\001)p Fl(i)429 1918 y Fg(r)468 1901 y Fr(is)f(a)i(p)n(ositive)e(de\014nite)g (matrix,)i(and)f Fo(P)1187 1877 y Fq(\()p Fl(k)q Fq(\))1181 1914 y Fl(i)1193 1919 y Fj(1)1211 1914 y Fh(\001\001\001)o Fl(i)1252 1918 y Fg(r)1272 1901 y Fr(,)40 b Fo(P)1361 1877 y Fq(\()p Fl(k)q Fq(\))1355 1915 y(\006)1380 1920 y Fg(i)1391 1927 y Fj(1)1409 1920 y Fd(\001\001\001)r Fg(i)1449 1924 y(r)1490 1901 y Fr(ar)n(e)20 b(p)n(ositive)224 1963 y(de\014nite)f(matric)n(es)g(with)h(pr)n(ob)n(ability)f(one.)31 b(Sp)n(e)n(ci\014c)n(al)r(ly,)18 b(they)i(take)f(the)h(fol)r(lowing)224 2020 y(values:)295 2076 y(\(i\))15 b Fo(P)397 2052 y Fl(g)q Fq(\()p Fl(k)q Fq(\))391 2090 y Fl(i)403 2095 y Fj(1)421 2090 y Fh(\001\001\001)o Fl(i)462 2094 y Fg(r)494 2076 y Fu(=)e Fo(\015)569 2054 y Fl(g)566 2090 y(i)578 2095 y Fj(1)595 2090 y Fh(\001\001\001)o Fl(i)636 2094 y Fg(r)656 2076 y Fu(\()p Fo(R)709 2052 y Fl(g)q Fq(\()p Fl(k)q Fq(\))709 2090 y Fl(i)721 2095 y Fj(1)737 2090 y Fh(\001\001\001)p Fl(i)779 2094 y Fg(r)798 2076 y Fu(\))816 2060 y Fh(\000)p Fq(1)879 2076 y Fr(with)k Fo(R)1013 2052 y Fl(g)q Fq(\()p Fl(k)q Fq(\))1013 2090 y Fl(i)1025 2095 y Fj(1)1042 2090 y Fh(\001\001\001)o Fl(i)1083 2094 y Fg(r)1119 2076 y Fr(given)e(by)h(Eq.)21 b(\(58\).)295 2147 y(\(ii\))15 b Fo(P)411 2123 y Fq(\()p Fl(k)q Fq(\))405 2161 y Fl(i)417 2166 y Fj(1)435 2161 y Fh(\001\001\001)o Fl(i)476 2165 y Fg(r)508 2147 y Fu(=)e(\()p Fo(R)609 2123 y Fq(\()p Fl(k)q Fq(\))609 2161 y Fl(i)621 2166 y Fj(1)637 2161 y Fh(\001\001\001)p Fl(i)679 2165 y Fg(r)698 2147 y Fu(\))716 2131 y Fh(\000)p Fq(1)779 2147 y Fr(with)k Fo(R)913 2123 y Fq(\()p Fl(k)q Fq(\))913 2161 y Fl(i)925 2166 y Fj(1)942 2161 y Fh(\001\001\001)o Fl(i)983 2165 y Fg(r)1019 2147 y Fr(given)e(by)i(Eq.)j(\(56\).)295 2218 y(\(iii\))15 b(F)m(or)h Fo(P)510 2195 y Fq(\()p Fl(k)q Fq(\))504 2233 y(\006)529 2238 y Fg(i)540 2245 y Fj(1)558 2238 y Fd(\001\001\001)q Fg(i)597 2242 y(r)619 2218 y Fr(,)g(we)g(have)405 2350 y Fo(P)440 2326 y Fq(\()p Fl(k)q Fq(\))434 2364 y(\006)459 2369 y Fg(i)470 2376 y Fj(1)488 2369 y Fd(\001\001\001)q Fg(i)527 2373 y(r)561 2350 y Fu(=)912 2319 y(2)p 614 2340 618 2 v 614 2360 a Fe(P)662 2373 y Fl(N)662 2407 y(t)p Fq(=1)730 2394 y Fo(h)756 2370 y Fq(\()p Fl(k)q Fq(\))756 2407 y Fl(i)768 2412 y Fj(1)805 2394 y Fu(\()p Fo(t)p Fu(\))p Fo(h)883 2370 y Fq(\()p Fl(k)q Fq(\))883 2407 y Fl(i)895 2412 y Fj(1)912 2407 y Fl(i)924 2412 y Fj(2)943 2394 y Fu(\()p Fo(t)p Fu(\))8 b Fm(\001)g(\001)g(\001)d Fo(h)1089 2370 y Fq(\()p Fl(k)q Fq(\))1089 2407 y Fl(i)1101 2412 y Fj(1)1119 2407 y Fh(\001\001\001)o Fl(i)1160 2411 y Fg(r)1180 2394 y Fu(\()p Fo(t)p Fu(\))1236 2350 y(\006)1269 2326 y Fq(\()p Fl(k)q Fq(\))1269 2364 y Fl(i)1281 2369 y Fj(1)1299 2364 y Fh(\001\001\001)o Fl(i)1340 2368 y Fg(r)1370 2350 y Fm(\012)10 b Fu(\006)1448 2326 y Fq(\()p Fl(k)q Fq(\))1448 2364 y Fl(i)1460 2369 y Fj(1)1477 2364 y Fh(\001\001\001)p Fl(i)1519 2368 y Fg(r)1638 2350 y Fu(\(68\))224 2488 y Fr(wher)n(e)17 b(\\)p Fm(\012)p Fr(")g(denotes)f(the)g(Kr)n(one)n (cker)g(pr)n(o)n(duct)g(as)g(de\014ne)n(d)g(in)g(The)n(or)n(em)f(3.)p eop %%Page: 27 28 27 27 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(27)295 286 y(F)l(rom)17 b(Theorem)h(5,)h(w)o (e)f(can)g(again)g(reac)o(h)h(Corollary)f(1.)29 b(Again,)19 b(w)o(e)f(see)g(that)224 343 y(the)g(EM)g(algorithm)g(for)g(training)g (the)h(HME)e(arc)o(hitecture)i(is)f(a)g(t)o(yp)q(e)g(of)g(v)m(ariable) 224 399 y(metric)e(gradien)o(t)f(ascen)o(t)g(algorithm)g(for)g (maximizing)h Fo(l)d Fu(=)g(ln)c Fo(L)p Fu(.)295 456 y(Finally)l(,)16 b(w)o(e)f(can)g(also)h(generalize)g(Theorem)f(2)g(as)g (follo)o(ws.)224 546 y Fn(Theorem)i(4)23 b Fr(Assume)13 b(that)i(the)f(tr)n(aining)e(set)i Fm(Y)k Fr(is)13 b(gener)n(ate)n(d)g (by)h(the)g(HME)f(mo)n(del)224 603 y(of)k(Eqs.)22 b(\(46\))17 b(and)g(\(47\))f(and)h(that)h(the)f(numb)n(er)g Fo(N)k Fr(is)c(su\016ciently)f(lar)n(ge.)22 b(Assume)224 659 y(that)g Fu(\006)355 666 y Fl(i)367 671 y Fj(1)384 666 y Fh(\001\001\001)p 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Fu(])1998 756 y Fl(T)224 834 y Fr(of)15 b(every)f(no)n(de)g Fo(v)521 841 y Fl(i)533 846 y Fj(1)550 841 y Fh(\001\001\001)o Fl(i)591 845 y Fg(r)625 834 y Fr(in)g(the)g(HME)g(ar)n(chite)n(ctur)n (e.)20 b(L)n(et)13 b Fo(P)21 b Fr(b)n(e)14 b(a)g(diagonal)g(blo)n(ck)g (ma-)224 890 y(trix)i(with)g(e)n(ach)f(diagonal)g(item)g(b)n(eing)g(a)g (p)n(ositive)g(diagonal)g(blo)n(ck)g(matrix)h Fo(D)1582 874 y Fl(b)1581 903 y(i)1593 908 y Fj(1)1610 903 y Fh(\001\001\001)o Fl(i)1651 907 y Fg(r)1683 890 y Fu(=)224 947 y Fo(diag)r Fu([)p Fo(P)360 925 y Fl(q)354 960 y(i)366 965 y Fj(1)382 960 y Fh(\001\001\001)o Fl(i)423 964 y Fg(r)443 947 y Fo(;)8 b(P)493 954 y Fl(i)505 959 y Fj(1)521 954 y Fh(\001\001\001)p Fl(i)563 958 y Fg(r)582 947 y Fo(;)g(P)632 954 y Fq(\006)657 959 y Fg(i)668 966 y Fj(1)686 959 y Fd(\001\001\001)q Fg(i)725 963 y(r)746 947 y Fu(])p Fr(.)24 b(The)17 b(items)g(of)g Fn(\002)g Fr(and)g Fo(P)24 b Fr(ar)n(e)17 b(arr)n(ange)n(d)g(in)g(such) g(a)224 1010 y(way)g(that)g Fo(D)448 993 y Fl(b)447 1023 y(i)459 1028 y Fj(1)476 1023 y Fh(\001\001\001)o Fl(i)517 1027 y Fg(r)553 1010 y Fr(in)f Fo(P)22 b Fr(c)n(orr)n(esp)n(onds)15 b(to)i Fn(v)988 1017 y Fl(i)1000 1022 y Fj(1)1017 1017 y Fh(\001\001\001)o Fl(i)1058 1021 y Fg(r)1094 1010 y Fr(in)f Fn(\002)o Fr(.)295 1066 y(F)m(urthermor)n(e,)g(assume)g(that)h (on)f(a)h(given)e(domain)i Fo(D)1247 1082 y Fn(\002)295 1123 y Fr(\(i\))c(The)h(p)n(ar)n(ameterize)n(d)g(functions)f(of)h(al)r (l)g(the)g(exp)n(ert)h(networks)e(and)i(the)f(gating)224 1179 y(networks)i(have)h(se)n(c)n(ond)e(or)n(der)h(c)n(ontinuous)g (derivatives.)295 1236 y(\(ii\))f(The)h(Hessian)f(matrix)i Fo(H)t Fu(\()p Fn(\002)o Fu(\))12 b(=)984 1213 y Fl(@)1005 1202 y Fj(2)1022 1213 y Fl(l)p Fq(\()p Fn(\002)o Fq(\))p 969 1225 147 2 v 969 1265 a Fl(@)r Fn(\002)o Fl(@)r Fn(\002)1091 1244 y Fg(T)1137 1236 y Fr(is)k(ne)n(gative)f(de\014nite;)295 1303 y(\(iii\))g Fn(\002)431 1285 y Fh(\003)467 1303 y Fr(is)g(a)i(lo)n(c)n(al)e(maximum)j(of)e Fo(l)q Fu(\()p Fn(\002)o Fu(\))p Fr(,)g(and)g Fn(\002)1171 1285 y Fh(\003)1203 1303 y Fm(2)d Fo(D)1284 1319 y Fn(\002)1326 1303 y Fr(.)295 1360 y(Then)i(we)i(have)f(the)h(same)f(c)n(onclusion)f(as)h(given)f(in) h(The)n(or)n(em)g(2.)21 b(That)16 b(is)295 1416 y(\(1\))d(L)n(etting)g Fm(\000)p Fo(M)r(;)8 b Fm(\000)p Fo(m)15 b Fr(\()f(her)n(e)g Fo(M)j(>)c(m)g(>)g Fu(0)p Fr(\))g(b)n(e)h(the)h(minimum)f(and)g (maximum)224 1479 y(eigenvalues)20 b(of)h(the)g(ne)n(gatively)f (de\014nite)g(matrix)i Fu(\()p Fo(P)1194 1448 y Fj(1)p 1194 1454 16 2 v 1194 1474 a(2)1217 1479 y Fu(\))1235 1463 y Fl(T)1262 1479 y Fo(H)t Fu(\()p Fn(\002)o Fu(\)\()p Fo(P)1437 1448 y Fj(1)p 1437 1454 V 1437 1474 a(2)1460 1479 y Fu(\))e Fr(\(or)h(e)n(quiva-)224 1536 y(lently)f(the)h(minimum)g (and)g(maximum)h(eigenvalues)e(of)h Fo(P)6 b(H)t Fu(\()p Fn(\002)o Fu(\))p Fr(,)22 b(sinc)n(e)d(we)i(have)224 1599 y Fo(P)6 b(H)t Fn(e)13 b Fu(=)g Fo(\025)p Fn(e)i Fr(fr)n(om)i Fu(\()p Fo(P)618 1567 y Fj(1)p 618 1573 V 618 1594 a(2)640 1599 y Fu(\))658 1582 y Fl(T)686 1599 y Fo(H)t(P)767 1567 y Fj(1)p 767 1573 V 767 1594 a(2)790 1599 y Fn(e)12 b Fu(=)h Fo(\025)p Fn(e)p Fr(\),)j(we)g(have)610 1697 y Fo(l)q Fu(\()p Fn(\002)683 1678 y Fh(\003)703 1697 y Fu(\))9 b Fm(\000)i Fo(l)q Fu(\()p Fn(\002)849 1678 y Fq(\()p Fl(k)q Fq(\))897 1697 y Fu(\))i Fm(\024)g Fo(r)998 1678 y Fl(k)1019 1697 y Fu([)p Fo(l)q Fu(\()p Fn(\002)1104 1678 y Fh(\003)1124 1697 y Fu(\))d Fm(\000)g Fo(l)q Fu(\()p Fn(\002)1270 1704 y Fq(0)1290 1697 y Fu(\)])p Fo(;)496 1829 y Fm(k)p Fo(P)554 1810 y Fh(\000)586 1797 y Fj(1)p 587 1803 V 587 1823 a(2)609 1829 y Fu(\()p Fn(\002)668 1810 y Fq(\()p Fl(k)q Fq(\))727 1829 y Fm(\000)g Fn(\002)813 1810 y Fh(\003)832 1829 y Fu(\))p Fm(k)i(\024)h(j)p Fo(r)q Fm(j)981 1810 y Fl(k)q(=)p Fq(2)1037 1758 y Fe(r)p 1083 1758 352 2 v 1096 1798 a Fu(2)p 1088 1819 40 2 v 1088 1860 a Fo(m)1132 1829 y Fu([)p Fo(l)q Fu(\()p Fn(\002)1218 1811 y Fh(\003)1238 1829 y Fu(\))c Fm(\000)i Fo(l)q Fu(\()p Fn(\002)1384 1836 y Fq(0)1403 1829 y Fu(\)])p Fo(;)224 1940 y Fr(wher)n(e)17 b Fo(r)c Fu(=)g(1)d Fm(\000)g Fu(\(1)g Fm(\000)614 1922 y Fl(M)p 614 1929 38 2 v 624 1955 a Fq(2)657 1940 y Fu(\))680 1922 y Fl(m)711 1910 y Fj(2)p 679 1929 49 2 v 685 1955 a Fl(M)745 1940 y Fo(<)j Fu(1)p Fr(.)21 b(We)16 b(also)g(have)h Fu(0)12 b Fo(<)h Fm(j)p Fo(r)q Fm(j)f Fo(<)h Fu(1)j Fr(when)g Fo(M)i(<)13 b Fu(2)p Fr(.)295 2003 y(\(2\))i(F)m(or)h(any)g(initial)g(p)n(oint)g Fn(\002)833 2010 y Fq(0)865 2003 y Fm(2)d Fo(D)946 2018 y Fn(\002)988 2003 y Fr(,)j Fu(lim)1082 2010 y Fl(k)q Fh(!1)1181 2003 y Fn(\002)1222 1984 y Fq(\()p Fl(k)q Fq(\))1283 2003 y Fu(=)d Fn(\002)1372 1984 y Fh(\003)1408 2003 y Fr(when)j Fo(M)i(<)13 b Fu(2)p Fr(.)295 2093 y Fu(W)l(e)h(should)h(p)q(oin)o(t)g(out)e(that)h(the)g(similarit)o(y)h (in)g(the)f(conclusions)i(of)e(Theorem)g(2)224 2149 y(and)j(Theorem)g (4)g(do)q(es)h(not)e(mean)i(that)e(the)h(EM)g(algorithm)g(for)g(the)g (hierarc)o(hical)224 2206 y(arc)o(hitecture)h(has)f(the)g(same)g(con)o (v)o(ergence)h(rate)f(as)f(that)h(for)g(the)g(one-lev)o(el)i(arc)o(hi-) 224 2262 y(tecture.)g(In)14 b(the)f(t)o(w)o(o)e(cases)i(the)g(matrix)f Fo(P)20 b Fu(is)13 b(di\013eren)o(t,)g(and)g(th)o(us)g Fo(M)r(;)8 b(m;)g(r)k Fu(are)h(also)224 2319 y(di\013eren)o(t.)19 b(This)13 b(results)g(in)g(di\013eren)o(t)f(con)o(v)o(ergence)g(rates.) 18 b(Indeed,)c(in)f(practice,)g(the)224 2375 y(hierarc)o(hical)18 b(arc)o(hitecture)d(is)i(usually)g(faster.)j(The)c(similarit)o(y)h(in)f (the)g(conclusions)224 2432 y(of)11 b(the)h(t)o(w)o(o)e(theorems)i(do)q (es)g(mean,)g(ho)o(w)o(ev)o(er,)f(that)g(the)h(con)o(v)o(ergence)f (rates)g(for)g(b)q(oth)224 2488 y(the)k(algorithms)h(are)e(of)h(the)h (same)e(\(linear\))i(order.)p eop %%Page: 28 29 28 28 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(28)224 286 y Fx(V)-6 b(arian)n(ts)23 b(of)f(the)h(EM)f(Algorithm)i(and)f(Sim)n(ulations)224 390 y Fp(V)-5 b(arian)n(ts)20 b(of)f(the)f(EM)h(algorithm)224 475 y Fu(F)l(or)11 b(con)o(v)o(enience,)j(w)o(e)e(denote)g(an)g(EM)f (up)q(date)h(of)g(the)g(parameter)f(v)o(ector)g(as)g(follo)o(ws)787 577 y Fk(\022)814 559 y Fq(\()p Fl(k)q Fq(+1\))920 577 y Fu(=)i Fo(M)1012 584 y Fl(p)1032 577 y Fu(\()p Fk(\022)1077 559 y Fq(\()p Fl(k)q Fq(\))1126 577 y Fu(\))p Fo(:)481 b Fu(\(69\))224 680 y(F)l(rom)16 b(Theorems)g(1)f(and)i(2)f(and)g (Theorems)g(3)g(and)g(4,)g(w)o(e)g(see)g(that)g(this)g(up)q(date)h(is) 224 736 y(actually)f(a)f(line)i(searc)o(h)e(metho)q(d)g(along)g(an)h (ascen)o(t)f(direction)h(of)f Fo(l)e Fu(=)g(ln)8 b Fo(L)665 857 y Fk(\022)692 838 y Fq(\()p Fl(k)q Fq(+1\))799 857 y Fu(=)13 b Fk(\022)874 838 y Fq(\()p Fl(k)q Fq(\))932 857 y Fu(+)e Fo(P)1013 833 y Fq(\()p Fl(k)q Fq(\))1007 880 y Fk(\022)1073 826 y Fo(@)s(l)p 1067 847 54 2 v 1067 888 a(@)s Fk(\022)1126 857 y Fm(j)1139 881 y Fk(\022)q Fq(=)p Fk(\022)1220 860 y Fj(\()p Fg(k)q Fj(\))1265 857 y Fo(;)360 b Fu(\(70\))224 987 y(with)17 b Fo(P)364 963 y Fq(\()p Fl(k)q Fq(\))358 1010 y Fk(\022)429 987 y Fu(b)q(eing)h(a)d (p)q(ositiv)o(e)j(de\014nite)f(matrix)f(ev)m(aluated)h(at)f Fk(\022)1360 968 y Fq(\()p Fl(k)q Fq(\))1409 987 y Fu(.)22 b(Moreo)o(v)o(er)15 b(this)224 1043 y(up)q(date)h(has)g(a)f(linear)i (con)o(v)o(ergence)f(rate.)21 b(This)16 b(link)h(b)q(et)o(w)o(een)f (the)g(EM)g(algorithm)224 1100 y(and)h(con)o(v)o(en)o(tional)h(gradien) o(t-based)f(optimization)h(tec)o(hniques)h(suggests)d(the)h(p)q(os-)224 1156 y(sibilit)o(y)j(of)d(using)i(acceleration)g(tec)o(hniques)g(for)e (impro)o(ving)h(the)g(con)o(v)o(ergence.)28 b(In)224 1213 y(the)15 b(sequel)i(w)o(e)e(suggest)f(t)o(w)o(o)g(suc)o(h)i (acceleration)g(tec)o(hniques.)224 1333 y Fn(Mo)q(di\014ed)i(line)h (searc)o(h)224 1419 y Fu(Eq.)h(\(70\))14 b(can)h(b)q(e)h(replaced)g(b)o (y)g(a)f(mo)q(di\014ed)h(line)h(searc)o(h)518 1521 y Fk(\022)545 1502 y Fq(\()p Fl(k)q Fq(+1\))681 1521 y Fu(=)42 b Fk(\022)785 1502 y Fq(\()p Fl(k)q Fq(\))844 1521 y Fu(+)10 b Fo(\025)916 1528 y Fl(k)937 1521 y Fn(d)966 1528 y 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(optimization)f(metho)q(d)f(at)f(ev-)224 1890 y(ery)e(parameter)f(up)q (date)h(is)g(t)o(ypically)h(exp)q(ensiv)o(e.)26 b(One)18 b(often)e(uses)h(an)g(inaccurate)224 1946 y(line)e(searc)o(h)e(b)o(y)g (decreasing)h(\(e.g.,)e Fo(\025)862 1953 y Fl(k)896 1946 y Fm(!)h Fo(r)q(\025)1003 1953 y Fl(k)1023 1946 y Fu(\))g(or)g (increasing)i(\(e.g.,)d Fo(\025)1458 1953 y Fl(k)1491 1946 y Fm(!)1554 1928 y Fq(1)p 1554 1935 18 2 v 1554 1962 a Fl(r)1577 1946 y Fo(\025)1604 1953 y Fl(k)1625 1946 y Fu(\))g(the)224 2003 y(stepsize)h(heuristically)h(according)e (to)f(a)g(stopping)h(rule.)19 b(One)13 b(frequen)o(tly)f(used)g(stop-) 224 2059 y(ping)17 b(rule)f(is)h(the)e(so-called)j(Goldstein)e(test)f (\(Luen)o(b)q(erger,)i(1984\).)j(The)c(Goldstein)224 2115 y(test)f(is)h(implemen)o(ted)g(as)f(follo)o(ws)660 2218 y Fo(l)q Fu(\()p Fo(\025)720 2225 y Fl(k)740 2218 y Fu(\))41 b Fm(\024)h Fo(l)q Fu(\(0\))8 b(+)j Fo("l)1040 2199 y Fh(0)1051 2218 y Fu(\(0\))p Fo(\025)1137 2225 y Fl(k)1157 2218 y Fo(;)660 2274 y(l)q Fu(\()p Fo(\025)720 2281 y Fl(k)740 2274 y Fu(\))41 b Fo(>)h(l)q Fu(\(0\))8 b(+)j(\(1)e Fm(\000)i Fo(")p Fu(\))p Fo(l)1154 2255 y Fh(0)1165 2274 y Fu(\(0\))p Fo(\025)1251 2281 y Fl(k)1271 2274 y Fo(;)673 2352 y(l)688 2333 y Fh(0)699 2352 y Fu(\(0\))41 b(=)h Fn(d)905 2333 y Fl(T)905 2363 y(k)943 2321 y Fo(@)s(l)p 937 2341 54 2 v 937 2383 a(@)s Fk(\022)996 2352 y Fm(j)1009 2376 y Fk(\022)q Fq(=)p Fk(\022)1090 2355 y Fj(\()p Fg(k)q Fj(\))1135 2352 y Fo(;)490 b Fu(\(72\))224 2464 y(where)16 b(0)c Fo(<)h(")g(<)g Fu(1)i(is)g(a)g(sp)q(eci\014ed)j(error)c(b)q (ound.)p eop %%Page: 29 30 29 29 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(29)295 286 y(In)o(terestingly)l(,)16 b(if)g(w)o(e)e(rewrite)i(the)f(up)q(date)h(as)331 385 y Fk(\022)358 367 y Fq(\()p Fl(k)q Fq(+1\))464 385 y Fu(=)d Fk(\022)539 367 y Fq(\()p Fl(k)q Fq(\))598 385 y Fu(+)e Fo(\025)671 392 y Fl(k)691 385 y Fu([)p Fo(M)748 392 y Fl(p)768 385 y Fu(\()p Fk(\022)813 367 y Fq(\()p Fl(k)q Fq(\))861 385 y Fu(\))f Fm(\000)h Fk(\022)962 367 y Fq(\()p Fl(k)q Fq(\))1010 385 y Fu(])i(=)g(\(1)c Fm(\000)i Fo(\025)1207 392 y Fl(k)1227 385 y Fu(\))p Fk(\022)1272 367 y Fq(\()p Fl(k)q Fq(\))1331 385 y Fu(+)f Fo(\025)1403 392 y Fl(k)1424 385 y Fo(M)1468 392 y Fl(p)1488 385 y Fu(\()p Fk(\022)1533 367 y Fq(\()p Fl(k)q Fq(\))1582 385 y Fu(\))p Fo(;)224 484 y Fu(w)o(e)21 b(\014nd)h(that)f(Eq.)38 b(\(71\))20 b(is)h(iden)o(tical)j(to)c(the)i(sp)q(eedup)g(tec)o(hnique) h(for)e(the)g(EM)224 541 y(algorithm)h(studied)h(b)o(y)e(P)o(eters)g (and)h(W)l(alk)o(er)g(\(1978a,b\),)e(Meilijson)j(\(1989\))d(and)224 597 y(Redner)g(and)f(W)l(alk)o(er)g(\(1984\).)30 b(These)19 b(authors)f(rep)q(orted)h(a)g(signi\014can)o(t)h(sp)q(eedup)224 654 y(for)15 b(an)g(appropriately)h(selected)g Fo(\025)835 661 y Fl(k)871 654 y Fu(ev)o(en)g(without)f(the)g(Goldstein)h(test.)224 773 y Fn(A)h(sp)q(eed-up)h(form)o(ula)f(based)h(on)f(lo)q(cal)j (linearization)224 859 y Fu(Using)h(a)e(\014rst-order)h(T)l(a)o(ylor)f (expansion)i(of)e Fo(M)1080 866 y Fl(p)1100 859 y Fu(\()p Fk(\022)1145 841 y Fq(\()p Fl(k)q Fq(\))1194 859 y Fu(\))g(around)h Fk(\022)1417 841 y Fq(\()p Fl(k)q Fh(\000)p Fq(1\))1511 859 y Fu(,)h(w)o(e)e(ha)o(v)o(e,)224 915 y(appro)o(ximately)l(,)554 1028 y Fo(M)598 1035 y Fl(p)617 1028 y Fu(\()p Fk(\022)662 1010 y Fq(\()p Fl(k)q Fq(\))711 1028 y Fu(\))12 b(=)h Fo(M)833 1035 y Fl(p)853 1028 y Fu(\()p Fk(\022)898 1010 y Fq(\()p Fl(k)q Fh(\000)p Fq(1\))992 1028 y Fu(\))c(+)i Fo(B)r Fu(\()p Fk(\022)1146 1010 y Fq(\()p Fl(k)q Fq(\))1205 1028 y Fm(\000)g Fk(\022)1278 1010 y Fq(\()p Fl(k)q Fh(\000)p Fq(1\))1371 1028 y Fu(\))653 1115 y Fk(\022)680 1096 y Fq(\()p Fl(k)q Fq(+1\))786 1115 y Fu(=)i Fk(\022)861 1096 y Fq(\()p Fl(k)q Fq(\))920 1115 y Fu(+)e Fo(B)r Fu(\()p Fk(\022)1047 1096 y Fq(\()p Fl(k)q Fq(\))1106 1115 y Fm(\000)f Fk(\022)1178 1096 y Fq(\()p Fl(k)q Fh(\000)p Fq(1\))1272 1115 y Fu(\))224 1197 y(or)808 1253 y(\001)p Fk(\022)872 1260 y Fl(k)906 1253 y Fu(=)j Fo(B)r Fu(\001)p Fk(\022)1056 1260 y Fl(k)q Fh(\000)p Fq(1)1122 1253 y Fo(;)503 b Fu(\(73\))224 1340 y(where)16 b Fo(B)f Fu(=)458 1317 y Fl(@)r(M)513 1321 y Fg(p)p 458 1330 73 2 v 470 1363 a Fl(@)r Fk(\022)535 1340 y Fm(j)548 1365 y Fk(\022)r Fq(=)p Fk(\022)629 1343 y Fj(\()p Fg(k)q Fj(\))690 1340 y Fu(and)g(\001)p Fk(\022)843 1347 y Fl(k)877 1340 y Fu(=)e Fk(\022)952 1322 y Fq(\()p Fl(k)q Fq(+1\))1056 1340 y Fm(\000)d Fk(\022)1128 1322 y Fq(\()p Fl(k)q Fq(\))1177 1340 y Fu(.)295 1397 y(F)l(or)k(the)i(matrix)e Fo(B)r Fu(,)i(w)o(e)f(ha)o(v)o(e)g(the)g(follo)o(wing)h(c)o(haracteristic)f (equation)269 1528 y(det\()p Fo(\025I)e Fm(\000)e Fo(B)r Fu(\))i(=)g Fo(\025)598 1509 y Fl(n)631 1528 y Fu(+)d Fo(\026)703 1535 y Fq(1)723 1528 y Fo(\025)750 1509 y Fl(n)p Fh(\000)p Fq(1)829 1528 y Fu(+)g Fm(\001)e(\001)g(\001)g Fu(+)j Fo(\026)1010 1535 y Fl(n)p Fh(\000)p Fq(1)1079 1528 y Fo(\025)e Fu(+)i Fo(\026)1188 1535 y Fl(n)1224 1528 y Fu(=)i Fo(\025)1299 1509 y Fl(n)1332 1528 y Fu(+)1400 1471 y Fl(n)1378 1485 y Fe(X)1380 1582 y Fl(j)r Fq(=1)1451 1528 y Fo(\026)1478 1535 y Fl(j)1497 1528 y Fo(\025)1524 1509 y Fl(n)p Fh(\000)p Fl(j)1603 1528 y Fu(=)g(0)224 1672 y(where)602 1728 y Fo(\026)629 1735 y Fl(j)660 1728 y Fu(=)g(\()p Fm(\000)p Fu(1\))802 1709 y Fl(j)927 1685 y Fe(X)827 1783 y Fq(1)p Fh(\024)p Fl(i)884 1788 y Fj(1)902 1783 y Fl(<i)941 2="" 30="" 31="" 32="" 137="" 224="" 286="" 365="" 369="" 379="" 383="" 407="" 422="" 426="" 429="" 433="" 463="" 476="" 480="" 547="" 560="" 568="" 581="" 588="" 595="" 615="" 624="" 627="" 629="" 631="" 649="" 656="" 663="" 688="" 706="" 709="" 718="" 723="" 747="" 766="" 773="" 777="" 790="" 811="" 818="" 820="" 825="" 830="" 839="" 849="" 854="" 861="" 867="" 888="" 895="" 899="" 901="" 911="" 986="" 1000="" 1013="" 1048="" 1056="" 1063="" 1070="" 1088="" 1111="" 1126="" 1144="" 1151="" 1183="" 1184="" 1201="" 1206="" 1213="" 1219="" 1224="" 1240="" 1247="" 1254="" 1257="" 1287="" 1304="" 1311="" 1332="" 1350="" 1362="" 1394="" 1413="" 1425="" 1442="" 1457="" 1461="" 1468="" 1476="" 1488="" 1499="" 1517="" 1520="" 1524="" 1539="" 1550="" 1618="" 1703="" 1717="" 1728="" 1735="" 1740="" 1760="" 1767="" 1783="" 1788="" 1814="" 1815="" 1858="" 1865="" 1908="" 1915="" 1938="" 1951="" 1964="" 1976="" 1995="" 2002="" 2021="" 2049="" 2088="" 2102="" 2124="" 2126="" 2131="" 2145="" 2152="" 2201="" 2203="" 2217="" 2241="" 2260="" 2267="" 2282="" 2300="" 2307="" 2315="" 2357="" 2389="" 2402="" 2427="" 2445="" 2452="" 2469="" 2488="" 2495="" 2500="" y="" fj(2)958="" fl(<)p="" fh(\001\001\001)p="" fl(i)1027="" fg(j)1044="" fh(\024)p="" fl(n)1100="" fo(\025)1127="" fl(i)1139="" fj(1)1158="" fo(\025)1185="" fl(i)1197="" fj(1)1223="" fm(\001)8="" b(\001)g(\001)e="" fo(\025)1311="" fl(i)1323="" fg(j)224="" fu(and)16="" b="" fo(\025)340="" fl(i)369="" fu(are)f(the)g(eigen)o(v)m(alues)j(of)d="" fo(b)r="" fu(.)21="" b(it)16="" b(follo)o(ws)f(from)g(the)g(ca)o(yley-hamilton)i="" (theo-)224="" y(rem)e(that)760="" fo(b)796="" fl(n)831="" fu(+)898="" fl(n)876="" fe(x)878="" fl(j)r="" fq(="1)949" fo(\026)976="" fl(j)995="" fo(b)1031="" fl(n)p="" fh(\000)p="" fl(j)1112="" fu(=")e(0)224" y(multiplying)18="" b(b)o(y)d(\001)p="" fk(\022)600="" fl(k)q="" fl(n)685="" fu(\()p="" fo(k)e="" fm(\025)g="" fo(n)p="" fu(\),)i(w)o(e)g(ha)o(v)o(e)619="" fo(b)655="" fl(n)679="" fu(\001)p="" fk(\022)744="" fl(n)824="" fu(+)892="" fl(n)870="" fe(x)872="" fo(\026)970="" fl(j)989="" fo(b)1025="" fl(j)1093="" fk(\022)1158="" fl(n)1240="" fo(:)314="" fu(\(74\))224="" y(f)l(rom)15="" b(eq.)k(\(73\),)14="" b(w)o(e)h(obtain)402="" y(\001)p="" fk(\022)467="" fl(j)544="" fk(\022)694="" fq(1)817="" b(\001)g(\001)i="" fo(b)1014="" fl(j)1082="" fk(\022)1147="" fl(n)1217="" fo(;)22="" b(j)15="" fo(;)8="" fu(1)p="" fo(;)g="" fm(\001)g(\001)g="" (\001)t="" fo(;)g(n:)p="" eop="" %%page:="" bop="" a="" fs(con)o(v)o(ergence)15="" b(results)h(for)e(mixtures)="" i(of)f(exp)q(erts)586="" fu(30)224="" y(substituting)17="" b(in)o(to)e(eq.)k(\(74\),)14="" b(w)o(e)h(ha)o(v)o(e)728="" fk(\022)793="" fl(k)824="" fk(\022)1054="" fl(j)1131="" fo(:)423="" fu(\(75\))295="" y(assuming)15="" b(that)f(in)i(comparison)e(with)h="" (the)g(\014rst)f="" fo(l)h="" fu(eigen)o(v)m(alues,)i(the)d(remaining)224="" y(eigen)o(v)m(alues)j(can)f(b)q(e)f(neglected,)i(w)o(e)e(ha)o(v)o="" (e)f(appro)o(ximately)527="" fo(\025)554="" fl(n)587="" fu(+)660="" fl(l)632="" fe(x)635="" fo(\026)733="" fl(j)751="" fo(\025)778="" fl(j)858="" fo(;)52="" b(b)1030="" fl(n)1064="" fu(+)1137="" fl(l)1110="" fe(x)1112="" fo(\026)1210="" fl(j)1229="" fo(b)1265="" fl(j)1345="" b(0)224="" y(and)j(corresp)q(ondingly)557="" fk(\022)622="" fl(i)646="" fu(+)719="" fl(l)692="" fe(x)694="" fo(\026)792="" fl(j)811="" fk(\022)876="" fl(i)p="" fl(j)946="" fo(;)37="" b(i)12="" fo(k)q(;)8="" b(k)j="" fu(+)f(1)p="" fo(;)e="" (\001)d="" fo(:)252="" fu(\(76\))224="" y(the)15="" b(appro)o(ximation)g(b)q="" (ecomes)h(exact)f(when)g(the)g(last)g="" fo(n)10="" fm(\000)g="" fo(l)15="" fu(eigen)o(v)m(alues)i(are)e(zero.)295="" y(by)g(minimizing)j="" fm(k)p="" fk(\022)688="" fl(k)719="" fu(+)765="" fe(p)813="" fl(l)813="" y(j)r="" fo(\026)911="" fl(j)929="" fk(\022)994="" fl(j)1059="" fm(k)1082="" fq(2)1102="" fu(,)c(w)o(e)h="" (obtain)g(the)h(follo)o(wing)f(linear)224="" y(equation)h(for)e="" fk(\026)f="" fo(\026)612="" fq(1)632="" fm(\001)g(\001)g(\001)d="" fo(;)j(\026)761="" fl(l)773="" fu(])786="" fl(t)399="" fo(s)18="" fk(\026)12="" fn(s)558="" fq(0)578="" b(s)15="" fo(s)753="" fl(ij)783="" fu(])796="" fl(l)p="" fh(\002)p="" fl(l)847="" fo(;)38="" fn(s)919="" fq(0)951="" b([)p="" fm(\000)p="" fo(s)1068="" fq(01)1106="" fo(s)1183="" fq(02)1220="" fo(;)j="" fo(s)1378="" fq(0)p="" fl(l)1408="" fu(])1421="" fl(t)1448="" fo(;)870="" y(s)891="" fl(ij)934="" fo(s)1003="" fl(j)r(i)1047="" fk(\022)1177="" fl(i)1238="" fu(\))1256="" fl(t)1283="" fu(\(\001)p="" fk(\022)1366="" fl(j)1431="" fu(\))p="" fo(;)176="" fu(\(77\))295="" y(w)l(e)15="" b(mak)o(e)g(use)g(of)g(the)g(follo)o(wing)h(iden)o(tit)="" o(y)347="" fh(1)332="" fe(x)336="" fl(k)433="" y(l)405="" fe(x)408="" fo(\026)506="" fl(j)524="" fk(\022)589="" fl(j)660="" fl(l)708="" fe(x)710="" fo(\026)808="" fl(j)826="" fk(\022)891="" fl(j)966="" fu(+)1046="" fh(1)1031="" fe(x)1012="" fq(+1)1123="" fk(\022)1188="" fl(i)1212="" fu(+)1292="" fh(1)1277="" fe(x)1258="" fq(+1)1396="" fl(l)1369="" fe(x)1371="" fo(\026)1469="" fl(j)1488="" fk(\022)1553="" fl(j)224="" fu(where)i="" fo(\026)385="" fq(0)422="" b(f)l(rom)17="" b(eq.)27="" b(\(76\),)17="" b(the)h(left)g(hand)g(side)h(of)e(this)i(expression)f(is)g="" (the)224="" y(sum)h(of)f(zeros)g(and)h(th)o(us)f(zero.)30="" b(the)19="" b(\014rst)f(term)g(on)g(the)h(righ)o(t)f(hand)h(side)h(is)f="" (also)224="" y(zero.)h(w)l(e)15="" b(also)g(ha)o(v)o(e)707="" fh(1)692="" fe(x)673="" fq(+1)784="" fk(\022)849="" fl(j)920="" fk(\022)1030="" fq(\()p="" fq(+1)p="" fq(\))1178="" fu(+)d="" fk(\022)1250="" fh(\003)224="" fu(\(where)17="" fk(\022)402="" fh(\003)438="" fh(!1)652="" fk(\022)679="" fq(\))728="" fu(\).)25="" b(using)18="" b(this)g(iden)o(tit)o(y)g(together)e(with)i(eq.)26="" b(\(76\),)16="" b(w)o(e)224="" y(ha)o(v)o(e)538="" fk(\022)601="" fq(+1\))705="" fu(+)10="" fk(\022)777="" fh(\003)807="" fu(+)880="" fl(l)852="" fe(x)854="" fo(\026)952="" fl(j)971="" fk(\022)1051="" fq(\))1199="" fu(+)g="" fk(\022)1271="" fh(\003)1291="" fu(\))i(=")h(0)p" fo(:)233="" fu(\(78\))p="" fu(31)295="" y(on)15="" b(the)h(other)f(hand,)g="" (w)o(e)g(can)g(also)g(sho)o(w)484="" fl(l)456="" fe(x)459="" fo(\026)557="" fl(j)575="" fk(\022)602="" fq(\))752="" fk(\022)827="" fq(+1\))956="" fl(l)929="" fe(x)931="" fo(\026)1029="" fl(j)1058="" fm(\000)1108="" fq(1)1103="" fe(x)1107="" fu([)1226="" fl(l)1199="" fe(x)1182="" fq(+1)1290="" fo(\026)1317="" fl(j)1335="" fu(]\001)p="" fk(\022)1413="" fl(i)1474="" fo(;)151="" fu(\(79\))224="" y(this)11="" b(can)f(b)q(e)h(easily)g(sho)o(wn)f(b)o="" (y)g(exc)o(hanging)h(the)f(order)g(of)g(summation)g(in)1511="" fe(p)1559="" fq(1)1559="" fu([)1631="" fe(p)1679="" fl(l)1679="" fq(+1)1789="" fo(\026)1816="" fl(j)1835="" fk(\022)1912="" fl(i)1973="" fu(,)224="" y(yielding)395="" fe(p)443="" fl(l)443="" fo(\026)541="" fl(j)559="" fu([)572="" fe(p)620="" fq(1)620="" fk(\022)756="" fl(i)816="" fu(])j(=")890" fe(p)938="" fl(l)938="" fo(\026)1035="" fl(j)1054="" fk(\022)1099="" fq(\))1246="" fm(\000)e="" fk(\022)1319="" fq(+1\))1413="" fu(\).)295="" y(letting)g="" fk(\022)477="" fh(\003)477="" fq(+1)554="" fu(replace)h="" fk(\022)731="" fh(\003)761="" fu(in)f(eq.\(78\))e(and)i(utilizing)i(eq.\(79\),)d(w)o(e)g(\014nally)="" i(obtain)564="" fk(\022)591="" fh(\003)591="" fq(+1)670="" fk(\022)745="" fq(+1\))849="" fm(\000)899="" fe(p)947="" fq(1)947="" fu([)1019="" fe(p)1067="" fl(l)1067="" fq(+1)1177="" fo(\026)1204="" fl(j)1223="" fk(\022)1300="" v="" fe(p)1096="" fl(l)1096="" fo(\026)1194="" fl(j)1366="" fo(:)259="" fu(\(80\))224="" y(this)16="" b(form)o(ula)f(can)g(b)q="" (e)h(used)g(for)e(sp)q(eeding)j(up)f(the)f(em)g(algorithm)g(in)h(t)o(w)="" o(o)e(w)o(a)o(ys.)292="" fm(\017)23="" fu(giv)o(en)17="" b(an)h(initial)h="" fk(\022)697="" fq(\(0\))744="" fu(,)e(w)o(e)g(compute)h="" fk(\022)1057="" fq(\(1\))1104="" fk(\022)1232="" fq(+1\))1334="" fu(via)18="" b(the)f(em)g(up)q="" (date)338="" y(and)i(then)g(from)f="" fk(\022)675="" fq(\))721="" b(j)20="" fm(\001)g(\001)g(\001)t="" fo(;)g(l)q="" fu(,)18="" b(w)o(e)g(solv)o(e)="" h(for)f="" fo(\026)1290="" fq(1)1311="" fo(;)g(\026)1439="" fl(l)1471="" fu(utilizing)21="" b(eq.)338="" y(\(77\).)27="" b(this)19="" b(yields)g(a)f(new)g="" fk(\022)861="" fh(\003)861="" fq(+1)937="" fu(via)h(eq.)28="" b(\(80\).)f(w)l(e)18="" b(then)h(let)f="" fk(\022)1516="" fq(\(0\))1581="" fk(\022)1660="" fh(\003)1660="" fq(+1)338="" fu(and)e(rep)q(eat)g(the)h(cycle.)292="" fu(instead)f(of)f(starting)f(a)h(new)h(cycle)h="" (after)d(obtaining)j="" fk(\022)1350="" fh(\003)1350="" fq(+1)1408="" fu(,)f(w)o(e)f(simply)i(let)338="" fk(\022)365="" fq(+1\))474="" fk(\022)560="" fh(\003)560="" fq(+1)619="" fu(,)f(and)f(use)g(the)g(em)g(up)q(date)g(\(eq.)40="" b(69\))21="" b(to)g(obtain)i(a)e(new)338="" fq(+2\))450="" fu(,)14="" b(then)f(w)o(e)g(use)h="" fk(\022)747="" fq(\(0\))794="" fk(\022)841="" fq(\(1\))888="" fk(\022)1016="" fq(+2\))1115="" fu(to)13="" b(obtain)g="" fk(\022)1335="" fh(\003)1335="" fq(+2)1393="" fu(.)20="" b(similarly)l(,)15="" b(after)338="" y(obtaining)h="" fk(\022)567="" fh(\003)567="" fl(k)589="" b(k)13="" b(="">)h(l)q Fu(,)h(w)o(e)h(let)g Fk(\022)900 1520 y Fq(\()p Fl(k)q Fq(\))962 1539 y Fu(=)e Fk(\022)1038 1520 y Fh(\003)1038 1550 y Fl(k)1075 1539 y Fu(and)i(use)g(the)g(EM)f(up)q(date)h(to)g(get)f(a)338 1595 y(new)g Fk(\022)458 1577 y Fq(\()p Fl(k)q Fq(+1\))552 1595 y Fu(,)g(and)g(then)h(use)f Fk(\022)877 1577 y Fq(\()p Fl(k)q Fh(\000)p Fl(l)p Fq(\))964 1595 y Fo(;)8 b Fm(\001)g(\001)g (\001)d Fo(;)j Fk(\022)1092 1577 y Fq(\()p Fl(k)q 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y(ha)o(v)o(e)h(m)o(uc)o(h)h(of)f(the)g(\015exibilit)o(y)j(of)d (nonparametric)g(approac)o(hes,)h(but)f(retain)h(some)224 2225 y(of)f(the)g(analytical)i(adv)m(an)o(tages)d(of)h(parametric)g (approac)o(hes)g(\(McLac)o(hlan)h(&)g(Bas-)224 2281 y(ford,)13 b(1988\).)k(Similar)e(remarks)d(can)h(b)q(e)h(made)f(in)h(the)f(case)g (of)f(sup)q(ervised)j(learning:)224 2338 y(The)g(ME)g(arc)o(hitecture)g (and)g(the)g(HME)g(arc)o(hitecture)g(pro)o(vide)g(\015exible)i(mo)q (dels)f(for)224 2394 y(general)21 b(nonlinear)h(regression)f(while)h (retaining)f(a)f(strong)g(\015a)o(v)o(or)g(of)g(parametric)224 2451 y(statistics.)29 b(The)19 b(latter)f(mo)q(del,)h(in)g(particular,) h(compares)e(fa)o(v)o(orably)f(to)h(decision)p eop %%Page: 34 35 34 34 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(34)224 286 y(tree)15 b(mo)q(dels)h(in)g (this)g(regard)f(\(Jordan)g(&)g(Jacobs,)g(1994\).)295 343 y(In)e(the)h(curren)o(t)f(pap)q(er)g(w)o(e)g(ha)o(v)o(e)g(con)o (tributed)h(to)e(the)h(theory)g(of)g(mixture-based)224 399 y(sup)q(ervised)k(learning.)k(W)l(e)15 b(ha)o(v)o(e)f(analyzed)i (an)f(EM)g(algorithm)g(for)f(ME)h(and)g(HME)224 456 y(arc)o(hitectures) i(and)h(pro)o(vided)g(theorems)e(on)h(the)g(con)o(v)o(ergence)h(of)e (this)i(algorithm.)224 512 y(In)f(particular,)g(w)o(e)f(ha)o(v)o(e)g (sho)o(wn)g(that)g(learning)i(algorithm)e(can)g(b)q(e)i(regarded)e(as)g (a)224 569 y(v)m(ariable)d(metric)f(algorithm)g(with)g(its)g(metric)g (matrix)g Fo(P)18 b Fu(b)q(eing)13 b(p)q(ositiv)o(e)f(de\014nite,)i(so) 224 625 y(that)d(the)g(searc)o(hing)h(direction)h(of)e(the)h(algorithm) f(alw)o(a)o(ys)g(has)g(a)g(p)q(ositiv)o(e)i(pro)s(jection)224 682 y(on)19 b(the)h(gradien)o(t)f(of)g(the)g(log)g(lik)o(eliho)q(o)q (d.)35 b(W)l(e)20 b(ha)o(v)o(e)f(sho)o(wn)g(that)f(the)i(algorithm)224 738 y(con)o(v)o(erges)h(linearly)l(,)j(with)e(a)f(rate)g(determined)i (b)o(y)e(the)g(di\013erence)i(b)q(et)o(w)o(een)e(the)224 795 y(minimal)c(and)e(maximal)h(eigen)o(v)m(alues)h(of)e(a)g(negativ)o (e)g(de\014nite)i(matrix.)295 851 y(Similar)g(results)g(to)e(those)h (obtained)h(here)f(can)g(also)g(b)q(e)h(obtained)g(for)e(the)h(case)224 907 y(of)f(the)g(unsup)q(ervised)j(learning)e(of)f(\014nite)h(mixtures) f(\(Xu)h(&)f(Jordan,)g(1994\).)224 1051 y Fx(References)224 1182 y Fu(Baum,)j(L.E.,)f(&)h(Sell,)h(G.R.)e(\(1968\).)25 b(Gro)o(wth)16 b(transformation)g(for)h(functions)i(on)224 1238 y(manifolds.)i Fr(Pac.)g(J.)16 b(Math.,)g(27)p Fu(,)f(211-227.)224 1324 y(Baum,)20 b(L.E.,)g(P)o(etrie,)g(T.,)f(Soules,)i(G.,)e(&)h(W)l (eiss,)g(N.)f(\(1970\).)30 b(A)20 b(maximization)224 1381 y(tec)o(hnique)h(o)q(ccurring)e(in)h(the)f(statistical)h(analysis) f(of)g(probabilistic)i(functions)f(of)224 1437 y(Mark)o(o)o(v)14 b(c)o(hains.)20 b Fr(The)c(A)o(nnals)f(of)h(Mathematic)n(al)g (Statistics,)g(41)p Fu(,)f(164-171.)224 1523 y(Breiman,)e(L.,)f(F)l (riedman,)g(J.H.,)g(Olshen,)h(R.A.,)f(&)g(Stone,)g(C.J.)f(\(1984\).)16 b Fr(Classi\014c)n(a-)224 1579 y(tion)g(and)h(R)n(e)n(gr)n(ession)d(T)m (r)n(e)n(es)p Fu(.)k(Belmon)o(t,)d(CA:)f(W)l(adsw)o(orth)g(In)o (ternational)i(Group.)224 1665 y(De)j(V)l(eaux,)h(R.D.)e(\(1986\).)29 b Fr(Par)n(ameter)20 b(estimation)f(for)h(a)g(mixtur)n(e)g(of)g(line)n (ar)f(r)n(e-)224 1722 y(gr)n(essions)p Fu(.)32 b(Ph.D.)19 b(Dissertation)g(and)h(T)l(ec)o(h.)34 b(Rept.)g(No.)f(247,)20 b(Departmen)o(t)f(of)224 1778 y(Statistics,)c(Stanford)g(Univ)o(ersit)o (y)l(,)h(Stanford,)e(CA.)224 1864 y(Dempster,)j(A.P)l(.,)g(Laird,)h (N.M.,)e(&)i(Rubin,)h(D.B.)e(\(1977\).)24 b(Maxim)o(um-lik)o(eliho)q(o) q(d)224 1921 y(from)14 b(incomplete)h(data)f(via)g(the)h(EM)e (algorithm.)20 b Fr(J.)15 b(of)h(R)n(oyal)f(Statistic)n(al)f(So)n (ciety,)224 1977 y(B39)p Fu(,)h(1-38.)224 2063 y(F)l(riedman,)d(J.H.)f (\(1991\).)16 b(Multiv)m(ariate)c(adaptiv)o(e)f(regression)g(splines.) 20 b Fr(The)12 b(A)o(nnals)224 2120 y(of)17 b(Statistics,)e(19)p Fu(,)g(1-141.)224 2206 y(Jacobs,)g(R.A.,)f(Jordan,)h(M.I.,)f(No)o (wlan,)h(S.J.,)f(&)h(Hin)o(ton,)g(G.E.)f(\(1991\).)k(Adaptiv)o(e)224 2262 y(mixtures)e(of)e(lo)q(cal)j(exp)q(erts.)j Fr(Neur)n(al)c (Computation,)h(3)p Fu(,)e(79-87.)224 2348 y(Jordan,)21 b(M.I.)d(&)i(Jacobs,)h(R.A.)e(\(1992\).)31 b(Hierarc)o(hies)21 b(of)e(adaptiv)o(e)h(exp)q(erts.)33 b(In)224 2405 y(J.E.)17 b(Mo)q(o)q(dy)l(,)h(S.)g(Hanson)f(&)h(R.P)l(.)g(Lippmann,)h(\(Eds.\),)e Fr(A)n(dvanc)n(es)g(in)h(Neur)n(al)g(In-)224 2461 y(formation)f(Pr)n(o) n(c)n(essing)d(System)i(4)p Fu(.)k(San)15 b(Mateo:)k(Morgan)14 b(Kaufmann,)h(985-992.)p eop %%Page: 35 36 35 35 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(35)224 286 y(Jordan,)18 b(M.I.)f(&)g (Jacobs,)h(R.A.)f(\(1994\).)25 b(Hierarc)o(hical)19 b(mixtures)f(of)f (exp)q(erts)g(and)224 343 y(the)e(EM)g(algorithm.)20 b Fr(Neur)n(al)c(Computation)p Fu(,)g Fr(6)p Fu(,)f(181-214.)224 429 y(Little,)e(R.J.A.,)e(&)h(Rubin,)h(D.B.)d(\(1987\).)17 b Fr(Statistic)n(al)12 b(A)o(nalysis)e(with)j(Missing)e(Data)p Fu(.)224 485 y(New)k(Y)l(ork:)20 b(John)c(Wiley)l(.)224 571 y(McCullagh,)h(P)l(.)e(&)i(Nelder,)f(J.A.)g(\(1983\).)k Fr(Gener)n(alize)n(d)c(Line)n(ar)f(Mo)n(dels)p Fu(.)21 b(London:)224 628 y(Chapman)15 b(and)h(Hall.)224 714 y(McLac)o(hlan,)j(G.J.,)e(&)h(Basford,)f(K.E.)h(\(1988\).)25 b Fr(Mixtur)n(e)19 b(Mo)n(dels:)24 b(Infer)n(enc)n(e)17 b(and)224 770 y(Applic)n(ation)f(to)g(Clustering)p Fu(.)j(New)c(Y)l (ork:)20 b(Dekk)o(er.)224 856 y(Meilijson,)g(I.)e(\(1989\).)26 b(A)18 b(fast)f(impro)o(v)o(emen)o(t)h(to)f(the)h(EM)g(algorithm)g(on)g (its)g(o)o(wn)224 913 y(terms.)h Fr(J.)e(of)f(R)n(oyal)g(Statistic)n (al)f(So)n(ciety,)h(B51)p Fu(,)f(127-138.)224 999 y(P)o(eters,)h(B.C.)f (&)i(W)l(alk)o(er,)f(H.F.)f(\(1978a\).)21 b(An)16 b(iterativ)o(e)h(pro) q(cedure)g(for)f(obtaining)224 1055 y(maxim)o(um-lik)o(eliho)q(o)q(d)23 b(estimates)c(of)h(the)g(parameters)f(for)g(a)g(mixture)h(of)g(normal) 224 1112 y(distributions.)i Fr(SIAM)15 b(J.)h(Applie)n(d)f (Mathematics,)i(35)p Fu(,)e(362-378.)224 1198 y(P)o(eters,)23 b(B.C.,)f(&)g(W)l(alk)o(er,)h(H.F.)e(\(1978b\).)38 b(The)22 b(n)o(umerical)h(ev)m(aluation)g(of)e(the)224 1254 y(maxim)o(um-lik)o (eliho)q(o)q(d)d(estimates)c(of)h(a)f(subset)h(of)f(mixture)h(prop)q (ortions,)f Fr(SIAM)h(J.)224 1310 y(Applie)n(d)h(Mathematics,)g(35)p Fu(,)g(447-452.)224 1396 y(Quandt,)d(R.E.)e(&)i(Ramsey)l(,)f(J.B.)g (\(1972\).)17 b(A)12 b(new)g(approac)o(h)g(to)f(estimating)h(switc)o (h-)224 1453 y(ing)k(regressions.)k Fr(J.)c(A)o(meric)n(an)f(Statistic) n(al)h(So)n(ciety,)f(67)p Fu(,)g(306-310.)224 1539 y(Quandt,)j(R.E.)f (&)h(Ramsey)l(,)f(J.B.)g(\(1978\).)25 b(Estimating)17 b(mixtures)h(of)e(normal)i(dis-)224 1595 y(tribution)23 b(and)f(switc)o(hing)h(regressions.)40 b Fr(J.)22 b(A)o(meric)n(an)g (Statistic)n(al)f(So)n(ciety,)i(73)p Fu(,)224 1652 y(730-738.)224 1738 y(Redner,)c(R.A.,)f(&)g(W)l(alk)o(er,)g(H.F.)f(\(1984\).)26 b(Mixture)18 b(densities,)h(maxim)o(um)f(lik)o(eli-)224 1794 y(ho)q(o)q(d,)d(and)h(the)f(EM)g(algorithm.)20 b Fr(SIAM)15 b(R)n(eview)h(26)p Fu(,)f(195-239.)224 1880 y(W)l(u,)21 b(C.F.J.)e(\(1983\).)32 b(On)21 b(the)f(con)o(v)o(ergence)g (prop)q(erties)h(of)e(the)h(EM)g(algorithm.)224 1937 y Fr(The)c(A)o(nnals)f(of)h(Statistics,)f(11)p Fu(,)g(95-103.)224 2023 y(Xu,)g(L.,)g(&)g(Jordan,)g(M.I.)f(\(1993\).)k(Theoretical)e(and)f (exp)q(erimen)o(tal)i(studies)f(of)e(the)224 2079 y(EM)g(algorithm)h (for)f(unsup)q(ervised)j(learning)f(based)f(on)f(\014nite)i(Gaussian)f (mixtures.)224 2136 y(MIT)h(Computational)g(Cognitiv)o(e)g(Science)h(T) l(ec)o(h.)23 b(Rep.)f(9302,)15 b(MIT,)g(Cam)o(bridge,)224 2192 y(MA.)295 2248 y(Xu,)20 b(L.,)f(&)g(Jordan,)h(M.I.)e(\(1994\).)29 b(On)20 b(con)o(v)o(ergence)f(prop)q(erties)g(of)g(the)g(EM)224 2305 y(algorithm)c(for)g(Gaussian)g(mixtures.)20 b(Submitted)d(to:)i Fr(Neur)n(al)d(Computation)p Fu(.)p eop %%Page: 36 37 36 36 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(36)224 286 y Fx(App)r(endix)224 388 y Fu(The)21 b(theoretical)g(results)f(presen)o(ted)h(in)g(the)f (main)h(text)f(sho)o(w)f(that)h(the)g(EM)g(al-)224 444 y(gorithm)d(for)f(the)i(ME)e(and)h(HME)g(arc)o(hitectures)h(con)o(v)o (erges)e(linearly)j(with)e(a)g(rate)224 501 y(determined)i(b)o(y)e(the) g(condition)i(n)o(um)o(b)q(er)e(of)g(a)g(particular)h(matrix.)26 b(These)17 b(results)224 557 y(w)o(ere)k(obtained)h(for)e(a)h(sp)q (ecial)i(case)e(in)g(whic)o(h)h(the)f(exp)q(ert)h(net)o(w)o(orks)e(are) g(linear)224 614 y(with)14 b(a)e(Gaussian)i(probabilit)o(y)g(mo)q(del)g (and)f(the)g(gating)g(net)o(w)o(orks)f(are)h(m)o(ultinomial)224 670 y(logit)k(mo)q(dels.)23 b(In)17 b(this)f(section)h(w)o(e)f(discuss) h(extensions)g(of)f(these)g(results)g(to)g(other)224 727 y(arc)o(hitectures.)295 783 y(W)l(e)h(\014rst)g(note)g(that)g (Theorems)g(2)g(and)h(4)f(mak)o(e)g(no)g(sp)q(eci\014c)j(reference)e (to)e(the)224 840 y(particular)21 b(probabilit)o(y)g(mo)q(dels)g (utilized)h(in)f(sp)q(ecifying)h(the)e(arc)o(hitecture.)34 b(The)224 896 y(results)17 b(on)g(con)o(v)o(ergence)f(rate)g(in)i (these)f(theorems)f(require)h(only)g(that)f(the)h(matrix)224 952 y Fo(P)28 b Fu(b)q(e)22 b(p)q(ositiv)o(e)g(de\014nite.)39 b(These)22 b(theorems)f(apply)h(directly)h(to)d(other)h(arc)o(hitec-) 224 1009 y(tures)16 b(if)g(the)g(corresp)q(onding)h Fo(P)22 b Fu(matrices)16 b(can)g(b)q(e)g(sho)o(wn)g(to)f(b)q(e)i(p)q(ositiv)o (e)f(de\014nite.)224 1065 y(W)l(e)f(therefore)g(need)h(only)g(consider) g(generalizations)g(of)f(Theorem)g(1,)g(the)g(theorem)224 1122 y(whic)o(h)21 b(established)g(the)f(p)q(ositiv)o(e)h (de\014niteness)g(of)f Fo(P)26 b Fu(for)19 b(the)h(generalized)h (linear)224 1178 y(ME)16 b(arc)o(hitectures.)22 b(An)16 b(analogous)g(generalization)h(of)e(Theorem)h(3)g(for)f(the)h(HME)224 1235 y(arc)o(hitectures)g(can)f(also)g(b)q(e)h(obtained.)295 1291 y(Let)22 b(us)g(consider)h(the)f(case)g(in)g(whic)o(h)h(the)f (function)h(implemen)o(ted)h(b)o(y)d(eac)o(h)224 1348 y(exp)q(ert)c(net)o(w)o(ork)e(\()p Fn(f)575 1355 y Fl(j)593 1348 y Fu(\()p Fn(x)p Fo(;)8 b Fk(\022)685 1355 y Fl(j)703 1348 y Fu(\)\))16 b(is)g(nonlinear)i(in)f(the)f(parameters.)22 b(W)l(e)16 b(consider)h(t)o(w)o(o)224 1404 y(p)q(ossible)g(up)q(dates)f (for)e(the)i(parameters:)j(\(1\))14 b(a)h(gradien)o(t)g(algorithm)751 1514 y Fk(\022)778 1490 y Fq(\()p Fl(k)q Fq(+1\))778 1528 y Fl(j)885 1514 y Fu(=)e Fk(\022)960 1490 y Fq(\()p Fl(k)q Fq(\))960 1528 y Fl(j)1019 1514 y Fu(+)d Fo(\015)1088 1521 y Fl(j)1106 1514 y Fn(e)1130 1490 y Fq(\()p Fl(k)q Fq(\))1130 1528 y Fl(j)1179 1514 y Fo(;)446 b Fu(\(83\))224 1616 y(where)339 1753 y Fn(e)363 1729 y Fq(\()p Fl(k)q Fq(\))363 1766 y Fl(j)425 1753 y Fu(=)490 1696 y Fl(N)473 1709 y Fe(X)477 1807 y Fl(t)p Fq(=1)546 1753 y Fo(h)572 1729 y Fq(\()p Fl(k)q Fq(\))572 1766 y Fl(j)621 1753 y Fu(\()p Fo(t)p Fu(\))678 1715 y Fo(@)s Fn(f)726 1698 y Fl(T)721 1728 y(j)753 1715 y Fu(\()p Fn(x)799 1698 y Fq(\()p Fl(t)p Fq(\))840 1715 y Fo(;)8 b Fk(\022)888 1691 y Fq(\()p Fl(k)q Fq(\))888 1728 y Fl(j)936 1715 y Fu(\))p 678 1742 277 2 v 765 1797 a Fo(@)s Fk(\022)818 1773 y Fq(\()p Fl(k)q Fq(\))818 1810 y Fl(j)959 1753 y Fu(\(\006)1010 1729 y Fq(\()p Fl(k)q Fq(\))1010 1766 y Fl(j)1058 1753 y Fu(\))1076 1734 y Fh(\000)p Fq(1)1123 1753 y Fu([)p Fn(y)1165 1734 y Fq(\()p Fl(t)p Fq(\))1216 1753 y Fm(\000)j Fn(f)1278 1760 y Fl(j)1296 1753 y Fu(\()p Fn(x)1342 1734 y Fq(\()p Fl(t)p Fq(\))1384 1753 y Fo(;)d Fk(\022)1431 1729 y Fq(\()p Fl(k)q Fq(\))1431 1766 y Fl(j)1480 1753 y Fu(\)])p Fo(;)114 b Fu(\(84\))224 1900 y(and)16 b(\(2\))e(a)h(Newton)g(algorithm:)668 2011 y Fk(\022)695 1987 y Fq(\()p Fl(k)q Fq(+1\))695 2024 y Fl(j)802 2011 y Fu(=)e Fk(\022)877 1987 y Fq(\()p Fl(k)q Fq(\))877 2024 y Fl(j)936 2011 y Fu(+)d Fo(\015)1005 2018 y Fl(j)1023 2011 y Fu(\()p Fo(R)1076 1987 y Fq(\()p Fl(k)q Fq(\))1076 2024 y Fl(j)1124 2011 y Fu(\))1142 1992 y Fh(\000)p Fq(1)1189 2011 y Fn(e)1213 1987 y Fq(\()p 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Fq(\))1359 2306 y Fl(j)1407 2293 y Fu(\))1425 2280 y Fl(T)1506 2249 y Fo(;)119 b Fu(\(86\))224 2394 y(where)16 b Fo(\015)380 2401 y Fl(j)410 2394 y Fo(>)d Fu(0)i(is)h(a)e(learning)j (rate.)295 2451 y(These)e(up)q(dates)h(are)f(co)o(v)o(ered)g(b)o(y)g (the)g(follo)o(wing)h(extension)g(of)f(Theorem)g(1.)p eop %%Page: 37 38 37 37 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(37)224 286 y Fn(Theorem)17 b(1A)g(1)23 b Fr(F)m(or)18 b(the)g(mo)n(del)f(given)h(by)f(Eq.)26 b(\(3\))17 b(and)h(the)g(up)n(dates)g(given)g(by)224 343 y(Eq.)j(\(84\))16 b(or)g(Eq.)21 b(\(86\),)16 b(we)g(have:)507 450 y Fk(\022)534 426 y Fq(\()p Fl(k)q Fq(+1\))534 463 y Fl(j)638 450 y Fm(\000)11 b Fk(\022)711 426 y Fq(\()p Fl(k)q Fq(\))711 463 y Fl(j)772 450 y Fu(=)i Fo(P)855 426 y Fq(\()p Fl(k)q Fq(\))849 463 y Fl(j)925 419 y Fo(@)s(l)p 909 439 72 2 v 909 481 a(@)s Fk(\022)963 488 y Fl(j)986 450 y Fm(j)999 474 y Fk(\022)1026 479 y Fg(j)1042 474 y Fq(=)p Fk(\022)1096 453 y Fj(\()p Fg(k)q Fj(\))1096 482 y Fg(j)1141 450 y Fo(;)24 b(j)15 b Fu(=)e(1)p Fo(;)8 b Fm(\001)g(\001)g(\001)t Fo(;)g(K)q(;)224 576 y Fr(wher)n(e)17 b Fo(P)388 552 y Fq(\()p Fl(k)q Fq(\))382 590 y Fl(j)453 576 y Fr(is)f(p)n(ositive)g(de\014nite.)224 742 y Fn(Pro)q(of)p Fu(.)32 b(F)l(or)19 b(the)g(gradien)o(t)h(descen)o(t)f(algorithm,)h(w)o (e)f(ha)o(v)o(e)g Fo(P)1351 718 y Fq(\()p Fl(k)q Fq(\))1345 755 y Fl(j)1420 742 y Fu(=)h Fo(\015)1499 749 y Fl(j)1517 742 y Fo(I)1537 749 y Fl(K)1571 742 y Fu(,)g(whic)o(h)224 798 y(is)g(ob)o(viously)g(p)q(ositiv)o(e)g(de\014nite)h(b)q(ecause)g Fo(\015)1014 805 y Fl(j)1051 798 y Fo(>)f Fu(0.)32 b(F)l(or)18 b(the)i(Newton)f(algorithm,)224 864 y(w)o(e)d(ha)o(v)o(e)g(that)g Fo(P)533 840 y Fq(\()p Fl(k)q Fq(\))527 878 y Fl(j)597 864 y Fu(=)f Fo(\015)671 871 y Fl(j)688 864 y Fu(\()p Fo(R)741 840 y Fq(\()p Fl(k)q Fq(\))741 878 y Fl(j)790 864 y Fu(\))808 848 y Fh(\000)p Fq(1)855 864 y Fu(.)23 b(W)l(e)16 b(no)o(w)g(sho)o(w)g(that)g(this)h(matrix)f(is)h(p)q(ositiv) o(e)224 921 y(de\014nite.)k(F)l(or)15 b(an)g(arbitrary)g(v)o(ector)f Fn(u)p Fu(,)h(w)o(e)g(ha)o(v)o(e)324 1050 y Fn(u)353 1031 y Fl(T)380 1050 y Fo(R)415 1026 y Fq(\()p Fl(k)q Fq(\))415 1063 y Fl(j)464 1050 y Fn(u)41 b Fu(=)628 993 y Fl(N)611 1006 y Fe(X)615 1104 y Fl(t)p Fq(=1)684 1050 y Fo(h)710 1026 y Fq(\()p Fl(k)q Fq(\))710 1063 y Fl(j)759 1050 y Fu(\()p Fo(t)p Fu(\))p Fn(u)840 1031 y Fl(T)873 1012 y Fo(@)s Fn(f)921 995 y Fl(T)916 1025 y(j)948 1012 y Fu(\()p Fn(x)994 995 y Fq(\()p Fl(t)p Fq(\))1035 1012 y Fo(;)8 b Fk(\022)1083 988 y Fq(\()p Fl(k)q Fq(\))1083 1025 y Fl(j)1131 1012 y Fu(\))p 873 1039 277 2 v 960 1093 a Fo(@)s Fk(\022)1013 1069 y Fq(\()p Fl(k)q Fq(\))1013 1107 y Fl(j)1154 1050 y Fu(\(\006)1205 1026 y Fq(\()p Fl(k)q Fq(\))1205 1063 y Fl(j)1253 1050 y Fu(\))1271 1031 y Fh(\000)p Fq(1)1323 1012 y Fo(@)s Fn(f)1366 1019 y Fl(j)1384 1012 y Fu(\()p Fn(x)1430 995 y Fq(\()p Fl(t)p Fq(\))1471 1012 y Fo(;)g 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1746 y Fl(j)r Fq(1)1186 1739 y Fu(\()p Fn(x)1232 1723 y Fq(\()p Fl(t)p Fq(\))1274 1739 y Fo(;)8 b Fk(\022)1321 1746 y Fl(j)1339 1739 y Fu(\))p Fo(;)g Fm(\001)g(\001)g(\001)d Fo(;)j(f)1481 1746 y Fl(j)r(d)1515 1750 y Fg(y)1535 1739 y Fu(\()p Fn(x)1581 1723 y Fq(\()p Fl(t)p Fq(\))1623 1739 y Fo(;)g Fk(\022)1670 1746 y Fl(j)1688 1739 y Fu(\)])224 1796 y(\()p Fo(d)266 1803 y Fl(y)301 1796 y Fu(is)16 b(the)f(dimension)i(of)e Fn(y)q Fu(\))f(with)494 1886 y Fo(f)516 1893 y Fl(j)r(i)546 1886 y Fu(\()p Fn(x)592 1867 y Fq(\()p Fl(t)p Fq(\))634 1886 y Fo(;)8 b Fk(\022)681 1893 y Fl(j)699 1886 y Fu(\))13 b(=)g Fo(F)807 1893 y Fl(j)r(i)837 1886 y Fu(\([)p Fk(\022)895 1893 y Fl(j;)p Fq(1)938 1886 y Fo(;)8 b Fm(\001)g(\001)g(\001)d Fo(;)j Fk(\022)1066 1893 y Fl(j;m)1124 1886 y Fu(])1137 1867 y Fl(T)1164 1886 y Fn(x)1192 1867 y Fq(\()p Fl(t)p Fq(\))1244 1886 y Fu(+)i Fk(\022)1316 1893 y Fl(j;m)p Fq(+1)1418 1886 y Fu(\))p Fo(;)224 1971 y Fu(where)15 b Fo(F)384 1978 y Fl(j)r(i)414 1971 y Fu(\()p Fo(:)p 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(gating)g(net)o(w)o(ork)f(in)o(v)o(olv)o(es)i(a)e(p)q(ositiv)o(e)i (de\014nite)h Fo(P)1541 2430 y Fl(g)1573 2423 y Fu(matrix.)224 2479 y(As)h(in)h(Theorem)f(1A,)g(the)g(result)h(for)e(the)i(gradien)o (t)f(up)q(date)h(is)f(immediate.)p eop %%Page: 38 39 38 38 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(38)828 286 y Fx(F)-6 b(o)r(otnotes)295 376 y Fq(1)314 393 y Fu(Our)11 b(fo)q(cus)g(in)h(this)f(pap)q(er)g(is)g (the)g(con)o(v)o(ergence)g(of)f(the)h(EM)f(algorithm)h(to)f(\(lo)q (cal\))224 449 y(maxima)h(of)g(the)h(lik)o(eliho)q(o)q(d)i(function)e (for)f(a)g(\014xed)h(data)f(set.)18 b(W)l(e)12 b(do)f(not)g(address)g (the)224 506 y(asymptotic)18 b(con)o(v)o(ergence)g(of)g(these)g(lo)q (cal)h(maxima)f(to)g(\\true")f(parameter)g(v)m(alues)224 562 y(as)j(the)g(n)o(um)o(b)q(er)h(of)e(data)h(p)q(oin)o(ts)g(go)q(es)g (to)g(in\014nit)o(y)l(.)36 b(F)l(or)19 b(results)i(on)f(asymptotic)224 619 y(con)o(v)o(ergence)h(that)e(are)h(relev)m(an)o(t)h(to)e(ME)h(arc)o (hitectures,)h(see)g(Redner)g(&)g(W)l(alk)o(er)224 675 y(\(1984\))14 b(and)h(Ludwig)h(X.)295 715 y Fq(2)314 731 y Fu(Th)o(us)g(the)g(algorithm)g(that)f(w)o(e)h(analyze)g(in)h (this)f(pap)q(er)g(is,)h(strictly)f(sp)q(eaking,)224 788 y(a)f(GEM)f(algorithm.)295 828 y Fq(3)314 844 y Fu(A)i(matrix)f Fo(A)g Fu(is)g(p)q(ositiv)o(e)i(de\014nite)f(if)g(and)f(only)h(if)g Fo(A)1242 828 y Fh(\000)p Fq(1)1304 844 y Fu(is)g(p)q(ositiv)o(e)g (de\014nite.)p eop %%Page: 39 40 39 39 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(39)735 286 y Fx(Figure)23 b(Captions)224 388 y Fr(Figur)n(e)18 b Fu(1.)28 b(The)18 b(mixture)h(of)e(exp)q(erts)h(arc)o(hitecture.)29 b(The)18 b(total)g(output)g Fk(\026)g Fu(is)g(the)224 444 y(w)o(eigh)o(ted)f (sum)g(of)f(the)h(exp)q(ert)g(net)o(w)o(ork)e(outputs:)23 b Fk(\026)15 b Fu(=)h Fo(g)1271 451 y Fq(1)1290 444 y Fk(\026)1322 455 y Fq(1)1353 444 y Fu(+)c 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(exp)q(ert)g(net)o(w)o(ork)f(2;)i(\(d\))f(the)g(ev)o(olution)224 952 y(of)j(the)g(v)m(ariances.)224 1009 y Fr(Figur)n(e)g Fu(5.)20 b(The)15 b(p)q(erformance)g(of)g(the)g(linesearc)o(h)i(v)m (arian)o(t)e(with)h Fo(\025)1399 1016 y Fl(k)1432 1009 y Fu(=)d(1)p Fo(:)p Fu(1.)224 1065 y Fr(Figur)n(e)i Fu(6.)20 b(The)15 b(p)q(erformance)g(of)g(the)g(linesearc)o(h)i(v)m(arian)o(t)e (with)h Fo(\025)1399 1072 y Fl(k)1432 1065 y Fu(=)d(0)p Fo(:)p Fu(5.)224 1122 y Fr(Figur)n(e)i Fu(7.)20 b(The)15 b(p)q(erformance)g(of)g(the)g(algorithm)h(based)f(on)g(lo)q(cal)i (linearization.)p eop %%Page: 40 41 40 40 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(40)101 1975 y @beginspecial 14 @llx 223 @lly 432 @urx 569 @ury 4180 @rwi @setspecial %%BeginDocument: ps/hierarchy.ps save userdict /IslandDrawDict 300 dict dup begin put /ncpoint errordict /nocurrentpoint get def errordict begin /nocurrentpoint { dup /pathbbox load eq { pop 0 0 1 1 } { ncpoint } ifelse } bind def end /image_raster { %% sw sh dw dh xs ys translate scale /sh exch def /sw exch def /imagebuf sw 7 add 8 idiv string def sw sh 1 [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } image } bind def /m {moveto} bind def /l {lineto} bind def /c {curveto} bind def /n {newpath} bind def /cl {closepath} bind def /ar { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll translate rotate scale n 0 0 1 5 3 roll arc setmatrix } bind def /arn { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll translate rotate scale n 0 0 1 5 3 roll arcn setmatrix } bind def /el { %% sx sy rot tx ty matrix currentmatrix 6 1 roll translate rotate scale n 0 0 1 0 360 arc setmatrix cl } bind def /bp {setlinejoin setlinewidth setrgbcolor} bind def /bpbw {setlinejoin setlinewidth setgray} bind def /lw {setlinewidth} bind def /lj {setlinejoin} bind def /gr {setgray} bind def /BPSIDE 32 def %% pixels per pattern side /PATFREQ 3.0 def %% pattern pixels per mm /dp_mat [PATFREQ 0 0 PATFREQ 0 0] def /dp_pw BPSIDE def %% pattern pixel width /dp_ph BPSIDE def %% pattern pixel height /dp_w dp_pw PATFREQ div def %% pattern mm width /dp_h dp_ph PATFREQ div def %% pattern mm height /dp_bs 1 def %% pattern bits per pixel /savemat matrix def /topmat matrix def /patmat matrix def /patpath { /inv exch def topmat setmatrix pathbbox %% get lo - hi indecies /hy exch dp_h div floor cvi def /hx exch dp_w div floor cvi def /ly exch dp_h div floor cvi def /lx exch dp_w div floor cvi def lx 1 hx { dp_w mul ly 1 hy { dp_h mul exch dup 3 1 roll exch patmat currentmatrix pop translate dp_pw dp_ph inv dp_mat dp_proc imagemask patmat setmatrix } for pop } for } bind def % setpattern brush of patterns instead of gray /setpattern { /blue exch def /green exch def /red exch def /freq exch def /bwidth exch def /bpside exch def /bstring exch def /onbits 0 def /offbits 0 def freq 0 {/y exch def /x exch def /xindex x 1 add 2 div bpside mul cvi def /yindex y 1 add 2 div bpside mul cvi def bstring yindex bwidth mul xindex 8 idiv add get not 1 7 xindex 8 mod sub bitshift and 0 ne {/onbits onbits 1 add def 1} {/offbits offbits 1 add def 0} ifelse } setscreen {} settransfer systemdict /setcmykcolor known { /fact 1 onbits offbits onbits add div sub def 1 red sub fact mul 1 green sub fact mul 1 blue sub fact mul 0 setcmykcolor } { offbits offbits onbits add div setgray } ifelse } bind def /dmatrix matrix def /dpi 72 0 dmatrix defaultmatrix dtransform dup mul exch dup mul add sqrt def /B {gsave bp stroke grestore} bind def %% brush: gr lw lj /Bbw {gsave bpbw stroke grestore} bind def %% brush: gr lw lj /F {gsave setrgbcolor eofill grestore} bind def %% fill: gr /Fbw {gsave setgray eofill grestore} bind def %% fill: gr /PB {gsave setlinejoin setlinewidth setpattern stroke grestore} bind def /PF {gsave eoclip patpath grestore} bind def /BB { gsave setrgbcolor setlinejoin setlinewidth strokepath clip patpath grestore } bind def /BLACK { 0.0 } bind def /CP {closepath} bind def /FI {eofill} bind def /E {exch} bind def /FF {findfont} bind def /GR {grestore} bind def /GS {gsave} bind def /MF {makefont} bind def /NP {newpath} bind def /RO {rotate} bind def /ST {stroke} bind def /SC {scale} bind def /SF {setfont} bind def /SG {setgray} bind def /SLC {setlinecap} bind def /SLJ {setlinejoin} bind def /SLW {setlinewidth} bind def /TR {translate} bind def /WHITE { 1.0 } bind def /m {moveto} bind def /r {rmoveto} bind def /l {lineto} bind def /sp {x 0 rmoveto} bind def /rl {rlineto} bind def /s {show} bind def /box { NP m l l l CP } bind def /pageboundary { NP m l l l CP } bind def /BS { % black stroke GS SLJ SLW BLACK SG ST GR } bind def /WS { % white stroke GS SLJ SLW WHITE SG ST GR } bind def /reencode_small_dict 12 dict def /ReencodeSmall { reencode_small_dict begin /new_codes_and_names E def /new_font_name E def /base_font_name E def /base_font_dict base_font_name FF def /newfont base_font_dict maxlength dict def base_font_dict { E dup /FID ne { dup /Encoding eq { E dup length array copy newfont 3 1 roll put } { E newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName new_font_name put new_codes_and_names aload pop new_codes_and_names length 2 idiv { newfont /Encoding get 3 1 roll put } repeat new_font_name newfont definefont pop end %reencode_small_dict } def /extended_Zapf [ 8#223 /a89 8#224 /a90 8#225 /a93 8#226 /a94 8#227 /a91 8#230 /a92 8#231 /a205 8#232 /a85 8#233 /a206 8#234 /a86 8#235 /a87 8#236 /a88 8#237 /a95 8#240 /a96 ] def /extended_Standard [ 29 /thorn 30 /yacute 31 /divide 128 /Acircumflex 129 /Adieresis 130 /Agrave 131 /Aring 132 /Atilde 133 /Ccedilla 134 /Eacute 135 /Ecircumflex 136 /Edieresis 137 /Egrave 138 /Iacute 139 /Icircumflex 140 /Idieresis 141 /Igrave 142 /Ntilde 143 /Oacute 144 /Ocircumflex 145 /Odieresis 146 /Ograve 147 /Otilde 148 /Scaron 149 /Uacute 150 /Ucircumflex 151 /Udieresis 152 /Ugrave 153 /Ydieresis 154 /Zcaron 155 /aacute 156 /acircumflex 157 /adieresis 158 /agrave 159 /aring 160 /atilde 161 /exclamdown 162 /cent 163 /sterling 164 /fraction 165 /yen 166 /florin 167 /section 168 /currency 169 /quotesingle 170 /quotedblleft 171 /guillemotleft 172 /guilsinglleft 173 /guilsinglright 174 /fi 175 /fl 176 /plusminus 177 /endash 178 /dagger 179 /daggerdbl 180 /periodcentered 181 /twosuperior 182 /paragraph 183 /bullet 184 /quotesinglebase 185 /quotedblbase 186 /quotedblright 187 /guillemotright 188 /ellipsis 189 /perthousand 190 /threesuperior 191 /questiondown 192 /mu 193 /grave 194 /acute 195 /circumflex 196 /tilde 197 /macron 198 /breve 199 /dotaccent 200 /dieresis 201 /onesuperior 202 /ring 203 /cedilla 204 /onequarter 205 /hungarumlaut 206 /ogonek 207 /caron 208 /emdash 209 /ccedilla 210 /copyright 211 /eacute 212 /ecircumflex 213 /edieresis 214 /egrave 215 /iacute 216 /icircumflex 217 /idieresis 218 /igrave 219 /logicalnot 220 /minus 221 /ntilde 222 /oacute 223 /ocircumflex 224 /odieresis 225 /AE 226 /onehalf 227 /ordfeminine 228 /ograve 229 /otilde 230 /registered 231 /scaron 232 /Lslash 233 /Oslash 234 /OE 235 /ordmasculine 236 /trademark 237 /uacute 238 /ucircumflex 239 /udieresis 240 /ugrave 241 /ae 242 /ydieresis 243 /zcaron 244 /Aacute 245 /dotlessi 246 /threequarters 247 /Eth 248 /lslash 249 /oslash 250 /oe 251 /germandbls 252 /multiply 253 /Yacute 254 /Thorn 255 /eth ] def /extended_Symbol [ ] def /extend_font { % stack: fontname newfontname E dup (ZapfDingbats) eq { cvn E cvn extended_Zapf ReencodeSmall } { dup (Symbol) eq { cvn E cvn extended_Symbol ReencodeSmall } { cvn E cvn extended_Standard ReencodeSmall } ifelse } ifelse } bind def /getfont { /f E def f cvn where % { begin f cvx cvn exec SF end } { begin f cvn load exec SF end } % { f 0 f length 8 sub getinterval (LocalFont) extend_font %/LocalFont FF { f 0 f length 8 sub getinterval dup dup length 1 add string /localfont exch def localfont exch 0 exch putinterval localfont dup length 1 sub (X) putinterval localfont extend_font localfont FF /xsz f f length 4 sub 4 getinterval cvi def /ysz f f length 8 sub 4 getinterval cvi def [ xsz 0 0 ysz neg 0 0 ] MF dup f cvn E def SF } ifelse } bind def /ul { % space drop thickness GS currentpoint currentlinewidth currentpoint NP m 6 -3 roll SLW 0 E r 0 rl ST SLW m GR } bind def /ss { currentpoint pop E m } bind def /image_raster { % sw sh dw dh xs ys TR SC /sh E def /sw E def /imagebuf sw 7 add 8 idiv string def sw sh 1 [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } image } bind def /imagemask_raster { TR SC /sh E def /sw E def /imagebuf sw 7 add 8 idiv string def sw sh false [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } imagemask } bind def /image_color_raster { % sw sh sd dw dh xs ys systemdict /colorimage known not { /colorimage /colimg load def } if TR SC /sd E def /sh E def /sw E def /imagebuf sw 3 mul sd mul 7 add 8 idiv string def sw sh sd [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } false 3 colorimage } bind def /nx { /x E def } bind def 0. nx .75 dup scale gsave 2.83465 -2.83465 scale 0 -279.4 translate topmat currentmatrix pop % Irpoly n 109.31 93.722 m 201.89 93.722 l 201.89 156.97 l 109.31 156.97 l cl 1 Fbw gsave 0 0.352 0 Bbw grestore % Irpoly n 7.028 93.806 m 99.611 93.806 l 99.611 157.06 l 7.028 157.06 l cl 1 Fbw gsave 0 0.352 0 Bbw grestore % Curves n 104.81 39.417 m 104.81 13.444 l 1 Fbw n 104.81 13.444 m 105.99 17 l 103.62 17 l cl 0 Fbw n 104.81 39.417 m 104.81 17 l gsave 0 0.352 0 Bbw grestore % Curves n 62.333 102.06 m 102.36 48.278 l 1 Fbw n 102.36 48.278 m 101.19 51.838 l 99.287 50.423 l cl 0 Fbw n 62.333 102.06 m 100.24 51.131 l gsave 0 0.352 0 Bbw grestore % Curves n 146.97 101.75 m 107.86 48.278 l 1 Fbw n 107.86 48.278 m 110.92 50.448 l 109 51.848 l cl 0 Fbw n 146.97 101.75 m 109.96 51.148 l gsave 0 0.352 0 Bbw grestore % Ellipse 5.466 5.466 90 105.03 43.306 el 1 Fbw gsave 0 0.352 0 Bbw grestore % Group n 30.861 115.81 m 52.861 115.81 l 1 Fbw gsave 0 0.352 0 Bbw grestore n 52.778 112.67 m 52.778 118.78 l 1 Fbw gsave 0 0.352 0 Bbw grestore n 28.722 122.53 m 70.583 122.53 l 1 Fbw gsave 0 0.352 0 Bbw grestore n 70.583 119.47 m 70.583 125.58 l 1 Fbw gsave 0 0.352 0 Bbw grestore % Group n 10.444 112.19 m 38.333 112.19 l 38.333 126.03 l 10.444 126.03 l cl 1 Fbw gsave 0 0.352 0 Bbw grestore n savemat currentmatrix pop [0.955 0 0 1 16.983 118.167] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Gating) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 15.194 123.972] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Network) s savemat setmatrix % Curves n 84.097 141.08 m 66.306 106.64 l 1 Fbw n 66.306 106.64 m 68.991 109.25 l 66.885 110.34 l cl 0 Fbw n 84.097 141.08 m 67.938 109.8 l gsave 0 0.352 0 Bbw grestore % Group n 68.361 140.17 m 96.25 140.17 l 96.25 154 l 68.361 154 l cl 1 Fbw gsave 0 0.352 0 Bbw grestore n savemat currentmatrix pop [1 0 0 1 75.083 145.972] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Expert) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 73.556 151.778] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Network) s savemat setmatrix % Ellipse 5.466 5.466 0 63.861 101.75 el 1 Fbw gsave 0 0.352 0 Bbw grestore % Curves n 44 141.78 m 61.417 106.64 l 1 Fbw n 61.417 106.64 m 60.9 110.35 l 58.776 109.3 l cl 0 Fbw n 44 141.78 m 59.838 109.83 l gsave 0 0.352 0 Bbw grestore % Group n 32.528 140.08 m 60.417 140.08 l 60.417 153.92 l 32.528 153.92 l cl 1 Fbw gsave 0 0.352 0 Bbw grestore n savemat currentmatrix pop [1 0 0 1 39.25 145.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Expert) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 37.722 151.694] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Network) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 83.417 134.194] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Symbol03600360) getfont () s 0.00 SG (m) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 86.778 135.417] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (12) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 54.389 135.667] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (11) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 51.083 134.194] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Symbol03600360) getfont () s 0.00 SG (m) s savemat setmatrix % Group n savemat currentmatrix pop [1 0 0 1 123.139 135.139] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (21) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 119.139 134.194] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Symbol03600360) getfont () s 0.00 SG (m) s savemat setmatrix % Group n savemat currentmatrix pop [1 0 0 1 155.222 135.222] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (22) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 151.444 134.194] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Symbol03600360) getfont () s 0.00 SG (m) s savemat setmatrix % Curves n 164.99 141 m 147.19 106.56 l 1 Fbw n 147.19 106.56 m 149.88 109.17 l 147.77 110.26 l cl 0 Fbw n 164.99 141 m 148.83 109.72 l gsave 0 0.352 0 Bbw grestore % Group n 149.25 140.08 m 177.14 140.08 l 177.14 153.92 l 149.25 153.92 l cl 1 Fbw gsave 0 0.352 0 Bbw grestore n savemat currentmatrix pop [1 0 0 1 155.972 145.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Expert) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 154.444 151.694] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Network) s savemat setmatrix % Ellipse 5.466 5.466 0 144.75 101.67 el 1 Fbw gsave 0 0.352 0 Bbw grestore % Curves n 124.89 141.69 m 142.31 106.56 l 1 Fbw n 142.31 106.56 m 141.79 110.27 l 139.66 109.22 l cl 0 Fbw n 124.89 141.69 m 140.73 109.74 l gsave 0 0.352 0 Bbw grestore % Irpoly n 113.42 140 m 141.31 140 l 141.31 153.83 l 113.42 153.83 l cl 1 Fbw gsave 0 0.352 0 Bbw grestore % Group n savemat currentmatrix pop [1 0 0 1 120.139 145.806] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Expert) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 118.611 151.611] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Network) s savemat setmatrix % Group n 178.06 115.81 m 156.06 115.81 l 1 Fbw gsave 0 0.352 0 Bbw grestore n 156.14 112.67 m 156.14 118.78 l 1 Fbw gsave 0 0.352 0 Bbw grestore n 180.19 122.53 m 138.33 122.53 l 1 Fbw gsave 0 0.352 0 Bbw grestore n 138.33 119.47 m 138.33 125.58 l 1 Fbw gsave 0 0.352 0 Bbw grestore % Group n 170.47 112.19 m 198.36 112.19 l 198.36 126.03 l 170.47 126.03 l cl 1 Fbw gsave 0 0.352 0 Bbw grestore n savemat currentmatrix pop [0.955 0 0 1 177.011 118.167] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Gating) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 175.222 123.972] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Network) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 108.222 30.917] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Symbol03600360) getfont () s 0.00 SG (m) s savemat setmatrix % Group n 69.583 55.222 m 91.583 55.222 l 1 Fbw gsave 0 0.352 0 Bbw grestore n 91.5 52.083 m 91.5 58.194 l 1 Fbw gsave 0 0.352 0 Bbw grestore % Curves n 62.639 61.944 m 112.97 61.944 l 1 Fbw gsave 0 0.352 0 Bbw grestore % Curves n 113.28 58.889 m 113.28 65 l 1 Fbw gsave 0 0.352 0 Bbw grestore % Group n 45.5 51.611 m 73.389 51.611 l 73.389 65.444 l 45.5 65.444 l cl 1 Fbw gsave 0 0.352 0 Bbw grestore n savemat currentmatrix pop [0.955 0 0 1 52.039 57.583] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Gating) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 50.25 63.389] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02800280) getfont () s 0.00 SG (Network) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 78.139 88.528] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Symbol03600360) getfont () s 0.00 SG (m) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 81.278 89.528] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (1) s savemat setmatrix % Group n savemat currentmatrix pop [1 0 0 1 127.25 88.528] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Symbol03600360) getfont () s 0.00 SG (m) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 131.083 89.611] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (2) s savemat setmatrix % Curves n 57.75 83.111 m 57.75 65.694 l 1 Fbw n 57.75 65.694 m 58.935 69.25 l 56.565 69.25 l cl 0 Fbw n 57.75 83.111 m 57.75 69.25 l gsave 0 0.352 0 Bbw grestore % Curves n 21.917 143.53 m 21.917 126.11 l 1 Fbw n 21.917 126.11 m 23.102 129.67 l 20.732 129.67 l cl 0 Fbw n 21.917 143.53 m 21.917 129.67 l gsave 0 0.352 0 Bbw grestore % Curves n 81.778 171.61 m 81.778 154.19 l 1 Fbw n 81.778 154.19 m 82.963 157.75 l 80.593 157.75 l cl 0 Fbw n 81.778 171.61 m 81.778 157.75 l gsave 0 0.352 0 Bbw grestore % Curves n 126.31 171.61 m 126.31 154.19 l 1 Fbw n 126.31 154.19 m 127.49 157.75 l 125.12 157.75 l cl 0 Fbw n 126.31 171.61 m 126.31 157.75 l gsave 0 0.352 0 Bbw grestore % Curves n 162.28 171.61 m 162.28 154.19 l 1 Fbw n 162.28 154.19 m 163.46 157.75 l 161.09 157.75 l cl 0 Fbw n 162.28 171.61 m 162.28 157.75 l gsave 0 0.352 0 Bbw grestore % Curves n 185.42 143.56 m 185.42 126.14 l 1 Fbw n 185.42 126.14 m 186.6 129.69 l 184.23 129.69 l cl 0 Fbw n 185.42 143.56 m 185.42 129.69 l gsave 0 0.352 0 Bbw grestore % Curves n 45.639 171.61 m 45.639 154.19 l 1 Fbw n 45.639 154.19 m 46.824 157.75 l 44.454 157.75 l cl 0 Fbw n 45.639 171.61 m 45.639 157.75 l gsave 0 0.352 0 Bbw grestore % Text n savemat currentmatrix pop [1 0 0 1 84.333 167.194] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-BoldItalic03600360) getfont () s 0.00 SG (x) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 47.889 167.194] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-BoldItalic03600360) getfont () s 0.00 SG (x) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 16.639 138.556] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-BoldItalic03600360) getfont () s 0.00 SG (x) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 120.75 167.194] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-BoldItalic03600360) getfont () s 0.00 SG (x) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 156.722 167.194] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-BoldItalic03600360) getfont () s 0.00 SG (x) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 187.806 138.556] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-BoldItalic03600360) getfont () s 0.00 SG (x) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 52.389 77.75] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-BoldItalic03600360) getfont () s 0.00 SG (x) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 -0 1 78.833 51.639] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic03600360) getfont () s 0.00 SG (g) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 81.583 53.167] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (1) s savemat setmatrix % Group n savemat currentmatrix pop [1 0 0 1 39.944 127.028] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic03600360) getfont () s 0.00 SG (g) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 46.5 128.389] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (1) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 43.083 128.333] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (2) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 45.444 128.861] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02800280) getfont () s 0.00 SG (|) s savemat setmatrix % Group n savemat currentmatrix pop [1 0 0 1 43 114.194] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (1) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 46.889 114.111] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (1) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 45.361 114.417] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02800280) getfont () s 0.00 SG (|) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 39.861 112.583] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic03600360) getfont () s 0.00 SG (g) s savemat setmatrix % Group n savemat currentmatrix pop [1 0 0 1 163.778 128.639] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (1) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 165.917 128.945] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02800280) getfont () s 0.00 SG (|) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 167.667 128.861] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (2) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 160.472 127.167] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic03600360) getfont () s 0.00 SG (g) s savemat setmatrix % Group n savemat currentmatrix pop [1 0 0 1 163.611 114.111] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (2) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 167.5 114.028] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (2) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 165.889 114.556] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02800280) getfont () s 0.00 SG (|) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 160.556 112.583] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic03600360) getfont () s 0.00 SG (g) s savemat setmatrix % Group n savemat currentmatrix pop [1 0 0 1 81.556 68.417] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic02400240) getfont () s 0.00 SG (2) s savemat setmatrix n savemat currentmatrix pop [1 0 0 1 78.278 66.667] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Italic03600360) getfont () s 0.00 SG (g) s savemat setmatrix userdict /#copies 1 put showpage grestore end restore %%EndDocument @endspecial 224 2073 a(Figure)21 b(2:)29 b(A)21 b(t)o(w)o(o-lev)o(el)f (hierarc)o(hical)i(mixture)f(of)f(exp)q(erts.)35 b(T)l(o)20 b(form)f(a)h(deep)q(er)224 2130 y(tree,)15 b(eac)o(h)f(exp)q(ert)i(is)f (expanded)h(recursiv)o(ely)g(in)o(to)f(a)f(gating)h(net)o(w)o(ork)f (and)h(a)f(set)h(of)224 2186 y(sub-exp)q(erts.)p eop %%Page: 41 42 41 41 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(41)357 2174 y @beginspecial 65 @llx 252 @lly 360 @urx 666 @ury 2950 @rwi @setspecial %%BeginDocument: ps/sim-data.ps save userdict /IslandDrawDict 300 dict dup begin put /ncpoint errordict /nocurrentpoint get def errordict begin /nocurrentpoint { dup /pathbbox load eq { pop 0 0 1 1 } { ncpoint } ifelse } bind def end /image_raster { %% sw sh dw dh xs ys translate scale /sh exch def /sw exch def /imagebuf sw 7 add 8 idiv string def sw sh 1 [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } image } bind def /m {moveto} bind def /l {lineto} bind def /c {curveto} bind def /n {newpath} bind def /cl {closepath} bind def /ar { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll translate rotate scale n 0 0 1 5 3 roll arc setmatrix } bind def /arn { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll translate rotate scale n 0 0 1 5 3 roll arcn setmatrix } bind def /el { %% sx sy rot tx ty matrix currentmatrix 6 1 roll translate rotate scale n 0 0 1 0 360 arc setmatrix cl } bind def /bp {setlinejoin setlinewidth setrgbcolor} bind def /bpbw {setlinejoin setlinewidth setgray} bind def /lw {setlinewidth} bind def /lj {setlinejoin} bind def /gr {setgray} bind def /BPSIDE 32 def %% pixels per pattern side /PATFREQ 3.0 def %% pattern pixels per mm /dp_mat [PATFREQ 0 0 PATFREQ 0 0] def /dp_pw BPSIDE def %% pattern pixel width /dp_ph BPSIDE def %% pattern pixel height /dp_w dp_pw PATFREQ div def %% pattern mm width /dp_h dp_ph PATFREQ div def %% pattern mm height /dp_bs 1 def %% pattern bits per pixel /savemat matrix def /topmat matrix def /patmat matrix def /patpath { /inv exch def topmat setmatrix pathbbox %% get lo - hi indecies /hy exch dp_h div floor cvi def /hx exch dp_w div floor cvi def /ly exch dp_h div floor cvi def /lx exch dp_w div floor cvi def lx 1 hx { dp_w mul ly 1 hy { dp_h mul exch dup 3 1 roll exch patmat currentmatrix pop translate dp_pw dp_ph inv dp_mat dp_proc imagemask patmat setmatrix } for pop } for } bind def % setpattern brush of patterns instead of gray /setpattern { /blue exch def /green exch def /red exch def /freq exch def /bwidth exch def /bpside exch def /bstring exch def /onbits 0 def /offbits 0 def freq 0 {/y exch def /x exch def /xindex x 1 add 2 div bpside mul cvi def /yindex y 1 add 2 div bpside mul cvi def bstring yindex bwidth mul xindex 8 idiv add get not 1 7 xindex 8 mod sub bitshift and 0 ne {/onbits onbits 1 add def 1} {/offbits offbits 1 add def 0} ifelse } setscreen {} settransfer systemdict /setcmykcolor known { /fact 1 onbits offbits onbits add div sub def 1 red sub fact mul 1 green sub fact mul 1 blue sub fact mul 0 setcmykcolor } { offbits offbits onbits add div setgray } ifelse } bind def /dmatrix matrix def /dpi 72 0 dmatrix defaultmatrix dtransform dup mul exch dup mul add sqrt def /B {gsave bp stroke grestore} bind def %% brush: gr lw lj /Bbw {gsave bpbw stroke grestore} bind def %% brush: gr lw lj /F {gsave setrgbcolor eofill grestore} bind def %% fill: gr /Fbw {gsave setgray eofill grestore} bind def %% fill: gr /PB {gsave setlinejoin setlinewidth setpattern stroke grestore} bind def /PF {gsave eoclip patpath grestore} bind def /BB { gsave setrgbcolor setlinejoin setlinewidth strokepath clip patpath grestore } bind def /BLACK { 0.0 } bind def /CP {closepath} bind def /FI {eofill} bind def /E {exch} bind def /FF {findfont} bind def /GR {grestore} bind def /GS {gsave} bind def /MF {makefont} bind def /NP {newpath} bind def /RO {rotate} bind def /ST {stroke} bind def /SC {scale} bind def /SF {setfont} bind def /SG {setgray} bind def /SLC {setlinecap} bind def /SLJ {setlinejoin} bind def /SLW {setlinewidth} bind def /TR {translate} bind def /WHITE { 1.0 } bind def /m {moveto} bind def /r {rmoveto} bind def /l {lineto} bind def /sp {x 0 rmoveto} bind def /rl {rlineto} bind def /s {show} bind def /box { NP m l l l CP } bind def /pageboundary { NP m l l l CP } bind def /BS { % black stroke GS SLJ SLW BLACK SG ST GR } bind def /WS { % white stroke GS SLJ SLW WHITE SG ST GR } bind def /reencode_small_dict 12 dict def /ReencodeSmall { reencode_small_dict begin /new_codes_and_names E def /new_font_name E def /base_font_name E def /base_font_dict base_font_name FF def /newfont base_font_dict maxlength dict def base_font_dict { E dup /FID ne { dup /Encoding eq { E dup length array copy newfont 3 1 roll put } { E newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName new_font_name put new_codes_and_names aload pop new_codes_and_names length 2 idiv { newfont /Encoding get 3 1 roll put } repeat new_font_name newfont definefont pop end %reencode_small_dict } def /extended_Zapf [ 8#223 /a89 8#224 /a90 8#225 /a93 8#226 /a94 8#227 /a91 8#230 /a92 8#231 /a205 8#232 /a85 8#233 /a206 8#234 /a86 8#235 /a87 8#236 /a88 8#237 /a95 8#240 /a96 ] def /extended_Standard [ 29 /thorn 30 /yacute 31 /divide 128 /Acircumflex 129 /Adieresis 130 /Agrave 131 /Aring 132 /Atilde 133 /Ccedilla 134 /Eacute 135 /Ecircumflex 136 /Edieresis 137 /Egrave 138 /Iacute 139 /Icircumflex 140 /Idieresis 141 /Igrave 142 /Ntilde 143 /Oacute 144 /Ocircumflex 145 /Odieresis 146 /Ograve 147 /Otilde 148 /Scaron 149 /Uacute 150 /Ucircumflex 151 /Udieresis 152 /Ugrave 153 /Ydieresis 154 /Zcaron 155 /aacute 156 /acircumflex 157 /adieresis 158 /agrave 159 /aring 160 /atilde 161 /exclamdown 162 /cent 163 /sterling 164 /fraction 165 /yen 166 /florin 167 /section 168 /currency 169 /quotesingle 170 /quotedblleft 171 /guillemotleft 172 /guilsinglleft 173 /guilsinglright 174 /fi 175 /fl 176 /plusminus 177 /endash 178 /dagger 179 /daggerdbl 180 /periodcentered 181 /twosuperior 182 /paragraph 183 /bullet 184 /quotesinglebase 185 /quotedblbase 186 /quotedblright 187 /guillemotright 188 /ellipsis 189 /perthousand 190 /threesuperior 191 /questiondown 192 /mu 193 /grave 194 /acute 195 /circumflex 196 /tilde 197 /macron 198 /breve 199 /dotaccent 200 /dieresis 201 /onesuperior 202 /ring 203 /cedilla 204 /onequarter 205 /hungarumlaut 206 /ogonek 207 /caron 208 /emdash 209 /ccedilla 210 /copyright 211 /eacute 212 /ecircumflex 213 /edieresis 214 /egrave 215 /iacute 216 /icircumflex 217 /idieresis 218 /igrave 219 /logicalnot 220 /minus 221 /ntilde 222 /oacute 223 /ocircumflex 224 /odieresis 225 /AE 226 /onehalf 227 /ordfeminine 228 /ograve 229 /otilde 230 /registered 231 /scaron 232 /Lslash 233 /Oslash 234 /OE 235 /ordmasculine 236 /trademark 237 /uacute 238 /ucircumflex 239 /udieresis 240 /ugrave 241 /ae 242 /ydieresis 243 /zcaron 244 /Aacute 245 /dotlessi 246 /threequarters 247 /Eth 248 /lslash 249 /oslash 250 /oe 251 /germandbls 252 /multiply 253 /Yacute 254 /Thorn 255 /eth ] def /extended_Symbol [ ] def /extend_font { % stack: fontname newfontname E dup (ZapfDingbats) eq { cvn E cvn extended_Zapf ReencodeSmall } { dup (Symbol) eq { cvn E cvn extended_Symbol ReencodeSmall } { cvn E cvn extended_Standard ReencodeSmall } ifelse } ifelse } bind def /getfont { /f E def f cvn where % { begin f cvx cvn exec SF end } { begin f cvn load exec SF end } % { f 0 f length 8 sub getinterval (LocalFont) extend_font %/LocalFont FF { f 0 f length 8 sub getinterval dup dup length 1 add string /localfont exch def localfont exch 0 exch putinterval localfont dup length 1 sub (X) putinterval localfont extend_font localfont FF /xsz f f length 4 sub 4 getinterval cvi def /ysz f f length 8 sub 4 getinterval cvi def [ xsz 0 0 ysz neg 0 0 ] MF dup f cvn E def SF } ifelse } bind def /ul { % space drop thickness GS currentpoint currentlinewidth currentpoint NP m 6 -3 roll SLW 0 E r 0 rl ST SLW m GR } bind def /ss { currentpoint pop E m } bind def /image_raster { % sw sh dw dh xs ys TR SC /sh E def /sw E def /imagebuf sw 7 add 8 idiv string def sw sh 1 [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } image } bind def /imagemask_raster { TR SC /sh E def /sw E def /imagebuf sw 7 add 8 idiv string def sw sh false [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } imagemask } bind def /image_color_raster { % sw sh sd dw dh xs ys systemdict /colorimage known not { /colorimage /colimg load def } if TR SC /sd E def /sh E def /sw E def /imagebuf sw 3 mul sd mul 7 add 8 idiv string def sw sh sd [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } false 3 colorimage } bind def /nx { /x E def } bind def 0. nx .9 dup scale gsave 2.83465 -2.83465 scale 0 -279.4 translate topmat currentmatrix pop % Group n 39.427 85.951 m 39.427 20.071 l 139.62 20.071 l 139.62 85.951 l 39.427 85.951 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 36.233 86.752] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1) s savemat setmatrix n 40.421 76.539 m 39.427 76.539 l gsave 0 0.1 1 Bbw grestore n 139.62 76.539 m 138.62 76.539 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 34.02 77.341] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-0.5) s savemat setmatrix n 40.421 67.129 m 39.427 67.129 l gsave 0 0.1 1 Bbw grestore n 139.62 67.129 m 138.62 67.129 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 37.213 67.93] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 40.421 57.717 m 39.427 57.717 l gsave 0 0.1 1 Bbw grestore n 139.62 57.717 m 138.62 57.717 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 35 58.518] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.5) s savemat setmatrix n 40.421 48.305 m 39.427 48.305 l gsave 0 0.1 1 Bbw grestore n 139.62 48.305 m 138.62 48.305 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 37.213 49.107] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n 40.421 38.894 m 39.427 38.894 l gsave 0 0.1 1 Bbw grestore n 139.62 38.894 m 138.62 38.894 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 35 39.695] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1.5) s savemat setmatrix n 40.421 29.483 m 39.427 29.483 l gsave 0 0.1 1 Bbw grestore n 139.62 29.483 m 138.62 29.483 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 37.213 30.284] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 35 20.872] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2.5) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 38.199 88.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1) s savemat setmatrix n 49.446 85.257 m 49.446 85.951 l gsave 0 0.1 1 Bbw grestore n 49.446 20.071 m 49.446 20.765 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 47.111 88.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-0.5) s savemat setmatrix n 59.464 85.257 m 59.464 85.951 l gsave 0 0.1 1 Bbw grestore n 59.464 20.071 m 59.464 20.765 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 58.727 88.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 69.485 85.257 m 69.485 85.951 l gsave 0 0.1 1 Bbw grestore n 69.485 20.071 m 69.485 20.765 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 67.64 88.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.5) s savemat setmatrix n 79.503 85.257 m 79.503 85.951 l gsave 0 0.1 1 Bbw grestore n 79.503 20.071 m 79.503 20.765 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 78.765 88.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n 89.523 85.257 m 89.523 85.951 l gsave 0 0.1 1 Bbw grestore n 89.523 20.071 m 89.523 20.765 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 87.678 88.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1.5) s savemat setmatrix n 99.541 85.257 m 99.541 85.951 l gsave 0 0.1 1 Bbw grestore n 99.541 20.071 m 99.541 20.765 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 98.803 88.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2) s savemat setmatrix n 109.56 85.257 m 109.56 85.951 l gsave 0 0.1 1 Bbw grestore n 109.56 20.071 m 109.56 20.765 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 107.715 88.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2.5) s savemat setmatrix n 119.58 85.257 m 119.58 85.951 l gsave 0 0.1 1 Bbw grestore n 119.58 20.071 m 119.58 20.765 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 118.841 88.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (3) s savemat setmatrix n 129.6 85.257 m 129.6 85.951 l gsave 0 0.1 1 Bbw grestore n 129.6 20.071 m 129.6 20.765 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.734 0 0 0.664 127.753 88.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (3.5) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.878 88.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (4) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 54.986 59.713] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.486 61.056] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 45.244 70.223] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 73.069 52.59] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 39.913 75.106] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.202 72.888] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.833 75.697] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 60.443 65.405] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.554 65.703] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 77.275 47.978] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 75.053 46.385] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 45.961 72.581] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 130.911 61.392] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.566 61.539] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.444 55.577] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.819 34.293] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.148 55.4] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.107 45.357] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 49.433 59.911] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 74.439 54.351] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.008 64.752] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 118.544 60.827] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 127.18 72.148] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.134 75.466] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 76.567 41.597] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 45.69 65.303] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.661 60.317] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 136.769 74.497] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.766 55.362] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 40.825 66.887] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 50.119 67.72] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 67.141 41.417] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 48.395 68.035] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 78.447 43.354] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.704 65.141] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 53.355 61.642] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 75.551 56.975] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 40.137 75.627] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.793 68.711] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.462 30.678] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.163 61.209] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 125.045 63.573] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.863 49.176] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.262 66.833] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 124.575 66.452] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 51.764 66.143] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 106.406 52.201] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.918 52.237] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.594 75.66] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 49.084 67.216] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 73.733 51.755] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 49.765 74.94] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.183 46.268] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 71.567 47.877] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.885 38.987] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 123.945 59.585] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.707 49.162] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 59.593 53.972] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 59.502 50.122] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 66.58 62.535] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 124.342 55.141] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 114.467 59.254] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 48.157 63.116] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 125.824 64.681] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.729 76.852] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 77.774 40.6] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.04 37.908] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 131.372 64.584] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.627 47.376] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.29 60.169] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 117.35 61.382] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.271 39.749] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.956 54.622] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 39.872 74.097] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 136.083 69.398] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 69.842 48.546] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.841 55.028] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 45.789 65.27] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.883 70.447] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 121.274 61.03] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 127.708 59.573] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 54.281 60.15] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.007 44.977] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.582 71.575] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.58 67.433] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.044 63.992] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 71.85 44.343] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 41.242 63.368] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 48.252 67.7] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.965 40.588] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 123.249 58.284] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.648 48.401] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 39.163 76.368] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 137.538 74.519] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.547 31.718] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.56 67.249] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 44.193 60.566] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 71.266 54.629] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.839 72.321] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 104.745 46.589] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 115.702 59.826] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 76.825 51.506] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.417 38.742] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 39.545 84.693] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.746 64.507] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.721 54.813] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 70.595 48.979] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.03 66.58] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 77.661 56.462] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.058 69.14] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 130.229 65.956] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 57.081 62.821] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.112 38.824] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.026 66.079] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.999 44.904] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 70.749 62.925] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 48.234 70.073] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 73.475 56.488] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 60.982 60.247] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 127.357 61.084] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.466 79.063] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.269 42.507] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 58.305 59.392] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 127.559 71.834] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 130.734 63.768] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 42.609 72.298] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 63.576 51.032] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.393 56.484] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 65.034 60.404] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.776 69.449] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 106.588 41.303] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 121.223 57.764] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.447 43.945] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.109 74.762] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 46.807 72.343] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 110.227 40.578] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 61.017 53.151] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 118.243 54.794] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 73.077 59.941] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.176 73.108] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 115.559 52.535] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 127.723 64.163] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 48.239 71.718] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 68.335 51.743] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 63.035 43.224] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.181 53.525] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 71.586 43.335] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 70.448 50.276] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 74.461 61.307] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 67.535 49.514] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.51 45.681] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.233 75.264] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.212 35.428] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 49.293 65.848] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 46.675 75.518] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.659 54.643] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.704 44.403] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.03 43.016] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 41.509 65.739] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 110.147 54.533] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.623 36.766] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.373 55.457] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.995 52.085] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.292 55.818] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 65.655 60.444] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 64.117 58.57] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.407 71.47] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 123.269 56.941] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 115.516 55.359] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 66.548 53.058] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 48.743 80.71] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.924 74.963] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.206 61.441] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 118.079 53.543] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 103.891 40.269] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.99 76.407] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 130.472 81.244] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.155 39.302] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 107.61 43.581] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 121.804 66.008] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.042 50.085] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 70.065 53.044] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.104 47.591] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.286 31.792] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 73.419 51.224] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.022 67.245] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.388 63.232] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 39.278 71.463] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.616 68.417] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 78.503 40.277] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.491 56.554] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.241 66.841] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 110.608 52.256] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.26 58.767] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.153 44.762] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.973 73.241] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.715 74.289] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.893 41.973] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 76.949 51.506] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 39.982 77.781] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 39.244 68.34] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 118.869 53.064] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 103.313 37.511] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.769 54.802] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.758 76.804] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.663 73.281] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 76.659 57.103] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.369 42.931] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.665 70.032] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 103.52 34.189] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 46.016 78.683] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.264 48.372] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.707 38.629] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.525 67.459] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.477 65.597] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 69.486 56.898] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 63.338 45.039] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 103.893 46.42] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 50.724 55.771] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.334 60.973] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 67.553 51.397] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 62.033 59.158] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 75.149 35.2] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.784 46.429] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.323 78.723] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.4 62.277] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.015 47.328] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 39.16 66.536] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 106.746 46.008] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.13 49.432] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.007 59.134] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.553 46.652] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.78 61.655] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.426 74.558] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.796 56.859] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 59.544 58.718] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 125.588 67.134] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 127.688 60.346] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 76.276 54.096] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 127.233 60.604] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.354 67.297] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 123.25 62.084] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.048 63.549] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.711 49.97] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.702 58.057] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 78.739 49.861] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.291 71.813] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 124.345 52.461] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.354 62.904] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 78.558 45.445] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.358 45.617] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 69.725 47.162] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.507 79.388] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.61 57.68] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 73.773 48.235] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.327 45.269] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.547 58.973] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 66.76 45.326] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 44.676 67.197] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 118.032 59.935] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 48.718 73.836] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 66.638 54.701] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 104.036 30.823] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 123.078 47.802] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 112.467 56.124] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.088 46.544] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 58.006 58.412] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 48.157 69.119] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.487 73.96] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.356 48.348] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 125.047 61.584] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 112.482 50.76] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.555 59.737] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.907 64.794] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.107 61.463] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.896 58.441] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.878 76.233] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 65.769 52.884] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 62.01 54.867] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.155 69.048] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 49.845 75.659] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 50.391 64.414] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.205 44.72] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 67.351 51.896] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.978 59.665] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.445 55.177] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.257 61.903] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.252 37.486] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 44.218 67.603] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 64.938 57.032] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.815 55.032] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 63.731 59.353] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 65.444 47.94] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.726 70.454] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 39.243 68.991] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 54.181 65.836] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 70.255 53.592] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 131.518 63.981] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.481 58.079] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.827 71.55] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 61.716 61.68] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 40.029 79.809] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.874 53.811] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 59.5 58.347] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 42.947 64.004] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.038 44.291] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 131.48 69.931] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 114.307 58.843] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.344 70.096] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 104.034 43.446] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.194 50.01] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 51.278 63.958] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 55.104 63.47] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 60.155 57.132] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 49.102 70.793] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.109 52.647] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 38.959 82.752] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.984 60.861] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 66.277 71.251] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 103.139 34.647] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.015 44.912] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.447 42.461] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.082 51.54] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 63.244 49.148] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 104.399 47.818] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.889 60.887] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.71 48.196] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.705 44.183] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.572 61.519] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.159 76.276] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 107.965 41.844] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 106.504 38.927] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 63.149 55.694] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 62.748 49.239] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.629 50.969] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 74.573 38.114] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 71.498 53.392] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.062 64.645] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.603 51.234] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.645 64.893] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.496 51.771] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 39.241 64.04] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.114 72.289] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 71.635 45.843] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 123.715 60.091] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 73.85 52.554] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 49.924 72.097] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 55.305 61.408] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 77.256 36.81] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 46.837 66.7] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 49.777 78.063] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.658 65.843] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 118.577 61.546] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.4 64.569] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 58.498 59.365] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.763 73.319] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.456 62.045] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 71.979 55.408] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 69.489 46.94] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 125.687 64.319] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.559 50.456] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.962 57.792] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.132 66.631] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 58.238 55.024] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 137.186 71.978] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 45.96 66.503] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.693 43.204] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.514 39.357] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.812 39.537] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.887 42.753] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.298 58.387] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 62.432 47.512] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.912 68.847] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.731 76.352] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.612 40.744] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 66.926 46.614] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 62.568 56.706] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.226 49.475] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 117.693 64.279] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 103.164 40.772] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 125.769 64.45] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 50.633 64.142] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 125.337 67.56] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 71.941 44.87] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.869 61.395] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.917 67.727] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 63.163 55.337] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.47 66.57] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.245 68.475] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.033 37.794] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 54.347 54.392] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.183 37.606] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 75.169 55.802] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.855 59.542] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 48.441 71.178] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.862 43.404] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 50.224 67.662] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 71.861 53.058] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.242 71.342] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.438 34.377] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 68.806 59.966] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.418 48.925] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 115.979 57.821] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 117.015 46.409] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 136.887 71.702] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.702 49.571] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 127.363 69.954] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 64.448 57.062] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 60.497 56.057] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.31 72.221] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 69.693 48.293] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.974 80.284] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.643 35.304] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 104.467 39.954] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.723 80.719] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 40.871 77.99] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 67.205 46.112] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.787 52.486] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 62.476 50.212] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 125.762 50.756] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.214 45.277] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.816 53.802] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 121.276 55.253] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 51.218 77.16] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 48.821 69.564] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.366 71.884] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 58.405 65.716] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.806 70.227] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.443 62.333] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 117.703 56.228] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 54.833 72.456] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 106.648 46.717] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 127.421 67.039] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 124.59 56.625] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.959 75.459] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.767 75.05] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 46.732 71.871] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.892 61.781] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 107.207 36.74] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 59.274 55.095] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 57.931 63.587] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.927 44.446] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.09 61.106] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 48.485 66.78] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 131.302 68.788] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 60.787 57.328] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.766 75.452] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 137.862 74.66] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 65.086 62.023] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 121.699 62.753] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.693 74.399] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 57.44 53.595] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.407 48.854] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 67.376 58.106] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 114.056 47.427] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.593 59.027] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 57.902 67.159] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 74.378 47.78] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.749 52.729] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.891 66.521] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 118.357 52.586] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.719 69.007] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.2 60.908] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.913 69.762] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 131.99 64.053] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.344 78.259] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 59.974 56.653] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.42 70.409] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.633 49.948] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 51.058 63.011] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.913 38.608] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.706 59.81] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 67.024 55.813] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 69.675 50.116] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 58.481 58.152] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.384 35.767] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 61.41 49.534] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.077 75.996] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 54.825 70.687] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.79 50.308] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 58.585 61.626] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 127.378 53.245] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.503 59.731] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.854 40.692] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 77.443 50.985] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 68.456 52.457] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 60.72 56.329] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 110.78 39.386] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 124.583 67.003] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.068 64.612] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 118.01 55.615] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.267 39.636] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.746 65.409] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 110.6 53.129] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 50.936 70.3] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.165 34.943] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 114.701 52.517] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 54.02 60.346] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 51.034 67.452] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 131.916 75.391] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 59.767 68.45] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.887 44.971] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.552 46.39] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.521 47.385] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.706 66.833] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 107.896 53.913] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.056 67.607] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 61.048 55.678] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.05 46.843] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.884 51.352] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.432 43.091] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.92 62.977] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 51.635 65.141] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 47.614 66.7] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.726 56.809] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.49 73.597] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 75.907 46.389] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.935 48.546] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.669 70.554] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 106.865 45.69] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 39.115 70.243] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 61.273 63.746] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.86 47.218] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 117.098 49.435] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 44.756 61.89] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 68.21 56.925] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.824 59.174] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 70.524 55.629] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 59.518 55.487] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 131.359 70.378] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.775 64.74] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 40.287 70.596] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 124.962 55.623] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 130.645 66.047] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.96 36.55] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 42.518 69.25] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 65.499 57.123] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 71.657 50.714] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 60.679 57.937] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 68.562 48.657] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 65.469 48.268] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 127.862 64.53] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.307 72.02] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 104.922 38.566] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 103.074 40.938] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.236 65.214] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.013 73.106] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 64.452 57.284] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 44.838 73.54] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.024 59.286] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 62.108 57.881] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.172 33.059] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.311 49.411] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 51.124 59.854] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.346 42.18] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 60.276 49.606] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 137.243 59.139] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 107.501 45.946] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 75.047 52.217] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.754 58.106] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 61.66 54.313] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.216 60.756] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 110.372 40.201] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.325 70.674] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.547 49] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.093 66.766] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.192 43.403] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 114.282 50.975] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.503 76.014] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.477 81.671] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 106.464 43.093] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 63.43 48.373] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 66.9 55.301] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 47.177 65.943] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 124.093 63.404] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.228 40.392] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 121.743 70.035] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 124.254 66.726] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 57.468 53.368] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 75.254 40.293] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 130.952 78.851] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 78.092 47.678] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.886 31.942] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.347 41.313] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.652 51.27] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 75.522 38.594] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.422 76.318] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.715 60.1] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.734 62.376] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 61.877 61.366] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 123.029 64.028] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.512 63.073] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.366 74.321] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 51.289 72.764] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 57.915 58.264] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 110.366 49.413] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.068 65.541] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.523 46.939] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 68.331 51.674] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 58.868 59.749] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.003 59.043] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 55.508 61.593] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.523 39.907] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 136.678 69.416] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 40.529 76.644] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.801 47.06] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 78.433 46.647] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 41.304 76.498] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.19 31.741] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 130.933 61.554] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 57.323 69.172] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.21 61.707] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.666 45.042] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.467 63.232] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 73.206 48.481] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 118.699 46.929] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.04 80.725] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 103.46 49.526] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 50.501 60.505] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.758 47.17] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 69.915 41.997] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 76.425 50.023] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 64.573 58.057] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 78.251 39.044] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 51.68 58.617] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 77.219 46.904] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 112.862 45.624] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.38 74.285] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 123.199 54.047] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 76.234 39.356] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 45.909 71.443] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 58.813 64.131] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 48.033 68.851] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 114.129 52.527] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 40.854 84.681] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.79 71.532] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.927 69.857] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 67.246 59.302] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 123.078 53.338] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 115.427 53.393] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 136.082 73.542] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 44.777 68.02] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 112.916 53.058] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 106.809 49.044] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 61.004 58.087] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 70.875 55.996] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 118.964 53.674] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.18 68.464] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 47.176 77.836] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 137.993 72.644] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 112.28 65.098] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 39.453 72.552] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.648 43.323] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.356 46.628] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 48.129 70.983] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.835 54.918] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 137.7 73.591] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.278 31.03] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.772 63.658] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 54.23 60.925] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.354 81.519] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.248 68.735] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.309 37.438] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 130.846 73.472] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 114.415 58.745] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 118.454 47.678] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.774 45.24] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.4 67.357] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 73.224 57.419] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.825 52.541] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 50.642 63.38] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 62.99 58.656] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 136.025 69.492] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 46.282 68.941] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 63.077 50.283] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 51.326 74.165] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.02 50.006] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.26 68.722] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.121 61.7] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 54.733 68.316] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 55.235 68.177] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.927 56.268] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 71.524 53.358] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.819 68.199] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.146 57.738] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 112.749 50.104] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.231 79.142] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 41.269 77.668] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.684 64.402] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.339 73.615] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 70.639 45.74] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.273 68.727] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 110.758 46.919] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.203 55.378] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 42.805 72.515] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.456 62.237] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 76.311 44.239] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 42.303 73.205] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 114.853 58.793] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 137.655 74.289] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.931 66.383] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 115.23 58.642] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 42.191 78.295] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 55.978 62.706] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 68.562 59.305] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 74.713 50.972] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 130.921 71.216] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.941 53.638] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.481 68.133] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 115.67 42.351] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 61.991 64.365] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 68.663 45.592] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 45.919 68.616] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 55.321 68.042] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 62.841 51.22] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.149 45.293] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.134 67.23] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 70.395 56.801] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.756 55.911] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.598 46.923] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.798 61.579] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 42.188 67.538] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 103.655 47.581] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.15 37.431] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 127.765 75.41] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 137.768 63.96] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.215 43.408] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.841 44.379] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.81 66.026] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 42.181 74.24] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 78.026 47.042] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 66.736 58.556] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 124.76 66.046] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 57.6 55.224] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.157 53.678] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 74.663 41.851] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 115.017 49.878] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.078 63.121] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 47.84 71.71] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 124.636 60.335] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 70.321 47.806] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 62.503 48.687] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.119 48.3] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 110.644 44.823] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.61 37.385] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.759 44.316] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 124.97 61.968] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.53 55.977] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.889 47.715] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.091 76.474] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 112.247 54.418] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 115.712 51.279] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 110.401 41.506] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 125.794 57.641] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 131.056 61.329] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.329 41.853] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 134.273 72.712] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.378 40.41] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 46.444 64.886] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 131.463 61.024] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.339 53.959] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 75.956 49.332] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 130.318 65.512] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 64.675 56.618] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 64.221 51.83] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.973 43.129] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.1 43.42] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 68.688 57.809] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.478 43.847] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 51.6 60.602] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 44.196 79.799] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.892 45.666] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 55.414 59.827] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 114.267 56.464] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 121.073 60.574] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 71.013 48.71] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 45.657 67.297] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.108 39.164] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 120.213 60.537] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.444 36.355] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.292 35.713] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 110.36 46.866] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 112.495 56.312] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.977 71.091] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.901 45.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 66.505 62.639] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 42.14 65.642] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 112.684 43.619] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 107.105 43.742] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.207 76.768] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.006 70.605] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 121.581 60.726] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.089 58.064] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 63.925 50.298] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.961 58.128] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.815 69.175] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.239 73.209] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 55.024 59.192] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.691 72.422] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 103.887 42.469] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.96 41.889] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.085 31.326] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.368 49.267] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.151 52.732] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.661 34.059] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 77.359 48.246] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.457 42.069] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 136.344 70.869] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 115.188 49.272] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.848 56.043] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.974 53.804] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 55.197 59.018] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.465 64.205] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 103.645 27.541] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 126.03 65.609] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 62.522 56.921] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 76.558 51.494] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.032 62.901] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 70.77 52.04] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 125.589 69.858] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 67.435 40] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.43 78.713] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 75.265 51.891] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.83 70.213] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.11 67.197] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.956 67.514] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 62.709 59.982] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 125.87 64.692] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 42.437 73.271] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 121.575 53.741] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 55.637 57.656] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 130.73 76.069] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 58.266 65.285] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 69.495 47.588] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.089 72.573] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.636 59.293] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.251 50.926] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.995 29.24] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 73.518 48.183] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 58.604 67.642] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.627 51.074] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.686 49.178] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 59.524 56.005] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.098 39.842] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.575 65.238] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.433 71.765] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.795 71.145] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 107.889 39.596] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 63.379 51.821] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 49.736 67.135] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.712 60.63] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 137.752 78.63] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 116.956 53.53] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.561 70.849] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 66.877 45.551] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 42.579 77.307] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.276 78.433] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 40.947 77.396] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 112.929 64.44] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.35 69.952] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 44.655 80.133] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 130.049 65.303] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 70.518 66.418] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 41.231 72.521] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 60.573 59.743] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.3 35.174] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.313 41.459] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 103.713 37.351] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.22 44.977] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 102.966 44.379] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 127.869 67.479] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 131.371 65.915] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.744 55.804] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 100.332 37.33] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 114.737 64.335] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.366 52.152] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.167 51.41] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 78.691 45.415] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 47.399 74.839] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 106.866 38.374] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 65.779 49.366] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 67.643 50.415] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 44.291 64.729] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 69.262 53.696] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 47.786 66.176] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 65.78 43.841] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 124.242 52.756] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.373 67.476] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 46.164 75.56] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 78.37 53.909] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 115.571 50.464] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 104.616 48.41] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.665 48.687] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 70.921 42.742] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 136.104 70.426] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.269 61.597] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.828 66.037] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.947 53.564] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 42.56 76.487] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 41.528 77.482] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 61.468 56.791] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 77.169 51.352] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 57.891 64.796] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 118.421 51.12] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.851 59.319] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 118.909 58.766] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 104.22 46.139] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 136.784 72.861] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 65.731 60.614] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 56.45 45.992] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 73.494 48.402] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 49.777 60.797] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 57.886 70.156] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 51.355 56.897] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.635 48.906] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.145 44.781] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 106.677 43.233] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 55.877 61.826] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.334 74.474] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 52.854 63.87] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 62.571 54.12] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 43.367 69.161] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 53.598 62.072] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.606 38.613] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 61.276 50.812] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.085 70.353] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 136.22 71.696] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 47.666 58.445] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.333 53.773] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.259 61.662] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 65.89 54.592] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 41.592 69.364] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 104.668 49.094] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.515 47.452] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 42.947 78.188] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.969 34.704] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 74.826 38.87] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 50.458 66.379] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.155 36.086] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 60.587 57.629] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 109.474 55.056] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 138.039 82.656] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.769 64.89] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 68.632 46.739] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 128.989 69.238] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.673 49.767] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 46.677 73.157] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.503 68.55] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 76.117 44.981] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 41.145 67.265] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 107.433 37.922] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 40.671 69.36] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 132.403 78.026] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.711 47.408] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 72.169 46.464] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 110.526 47.093] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 117.916 59.536] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.082 45.942] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 71.894 53.63] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 113.32 54.114] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 139.107 68.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.092 65.417] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 77.645 46.306] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 47.455 67.054] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.961 54.691] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 50.317 70.849] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.773 55.396] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 41.279 60.321] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 136.81 68.594] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 107.386 32.887] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 122.64 49.2] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 111.196 49.946] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 107.969 51.252] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 125.889 56.021] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 99.526 28.779] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 108.215 41.523] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 110.931 44.663] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 129.95 63.35] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 107.835 45.892] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 53.12 68.714] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 119.939 55.148] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 101.409 45.338] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 73.025 38.159] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 131.008 68.959] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 107.344 45.265] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 135.212 77.025] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 125.417 65.612] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 75.57 47.279] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 67.713 60.237] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 47.917 63.454] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 112.977 51.226] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 123.196 59.224] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 137.302 69.383] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 133.526 68.026] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 103.496 41.58] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 45.829 78.962] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 75.688 41.284] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 136.136 76.562] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 131.457 64.35] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 105.487 43.227] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.734 0 0 0.664 88.784 94.408] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (x) s savemat setmatrix n savemat currentmatrix pop [0 -0.663 0.733 0 29.969 53.679] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (y) s savemat setmatrix % Group n 39.501 169.1 m 39.501 103.54 l 139.62 103.54 l 139.62 169.1 l 39.501 169.1 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 36.311 169.903] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-3) s savemat setmatrix n 40.495 158.18 m 39.501 158.18 l gsave 0 0.1 1 Bbw grestore n 139.62 158.18 m 138.62 158.18 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 36.311 158.976] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-2) s savemat setmatrix n 40.495 147.25 m 39.501 147.25 l gsave 0 0.1 1 Bbw grestore n 139.62 147.25 m 138.62 147.25 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 36.311 148.048] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1) s savemat setmatrix n 40.495 136.32 m 39.501 136.32 l gsave 0 0.1 1 Bbw grestore n 139.62 136.32 m 138.62 136.32 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 37.29 137.121] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 40.495 125.4 m 39.501 125.4 l gsave 0 0.1 1 Bbw grestore n 139.62 125.4 m 138.62 125.4 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 37.29 126.194] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n 40.495 114.47 m 39.501 114.47 l gsave 0 0.1 1 Bbw grestore n 139.62 114.47 m 138.62 114.47 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 37.29 115.266] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 37.29 104.338] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (3) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 38.275 172.029] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1) s savemat setmatrix n 49.514 168.42 m 49.514 169.1 l gsave 0 0.1 1 Bbw grestore n 49.514 103.54 m 49.514 104.23 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 47.18 172.029] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-0.5) s savemat setmatrix n 59.524 168.42 m 59.524 169.1 l gsave 0 0.1 1 Bbw grestore n 59.524 103.54 m 59.524 104.23 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 58.787 172.029] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 69.537 168.42 m 69.537 169.1 l gsave 0 0.1 1 Bbw grestore n 69.537 103.54 m 69.537 104.23 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 67.694 172.029] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.5) s savemat setmatrix n 79.549 168.42 m 79.549 169.1 l gsave 0 0.1 1 Bbw grestore n 79.549 103.54 m 79.549 104.23 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 78.811 172.029] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n 89.56 168.42 m 89.56 169.1 l gsave 0 0.1 1 Bbw grestore n 89.56 103.54 m 89.56 104.23 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 87.716 172.029] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1.5) s savemat setmatrix n 99.572 168.42 m 99.572 169.1 l gsave 0 0.1 1 Bbw grestore n 99.572 103.54 m 99.572 104.23 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 98.834 172.029] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2) s savemat setmatrix n 109.58 168.42 m 109.58 169.1 l gsave 0 0.1 1 Bbw grestore n 109.58 103.54 m 109.58 104.23 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 107.74 172.029] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2.5) s savemat setmatrix n 119.59 168.42 m 119.59 169.1 l gsave 0 0.1 1 Bbw grestore n 119.6 103.54 m 119.6 104.23 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 118.857 172.029] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (3) s savemat setmatrix n 129.6 168.42 m 129.6 169.1 l gsave 0 0.1 1 Bbw grestore n 129.6 103.54 m 129.6 104.23 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.733 0 0 0.66 127.763 172.029] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (3.5) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 138.879 172.029] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (4) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 63.065 128.707] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 138.166 154.559] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 48.465 136.933] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.17 120.627] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 40.474 140.931] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 131.746 159.56] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 120.701 157.976] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 71.247 130.822] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 130.774 155.106] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.474 117.032] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.145 116.591] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 49.541 138.146] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 126.813 151.451] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.305 147.896] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 120.117 146.126] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.704 123.463] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 119.674 145.895] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.13 132.63] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 54.741 130.034] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.225 121.349] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 119.465 151.262] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 108.275 145.727] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 121.221 156.068] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 133.143 161.464] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.414 113.482] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 49.133 133.98] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 130.934 152.027] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 135.592 161.616] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 89.122 136.98] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 41.84 135.961] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 55.77 134.418] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.287 115.434] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 53.187 134.976] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.232 114.092] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 110.013 148.738] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 60.62 130.183] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.892 122.631] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 40.808 141.185] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 65.774 133.537] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.671 120.772] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 133.186 153.199] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 118.02 150.158] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.765 134.74] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 119.843 152.581] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 117.315 151.624] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 58.237 133.144] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.082 135.424] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 105.837 140.032] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 129.334 160.469] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 54.219 134.35] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 91.166 119.997] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 55.239 138.685] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.745 132.755] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 87.919 118.219] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.805 126.217] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 116.372 147.363] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 101.025 136.846] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 69.973 124.369] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 69.836 122.154] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.444 127.817] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 116.965 144.956] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 102.165 143.036] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 52.832 132.172] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 119.187 151.14] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 138.53 163.836] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.223 112.641] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.541 124.349] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 127.504 153.506] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.418 130.975] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 122.884 149.597] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 106.485 145.528] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.388 125.083] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.4 139.251] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 40.413 140.353] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 134.565 158.356] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.335 118.983] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 89.828 122.093] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 49.28 133.94] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 131.266 158.004] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 112.368 147.037] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 122.013 148.998] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 62.011 129.114] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.488 129.312] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 59.463 136.119] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 138.306 158.304] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 109.025 147.784] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.345 116.105] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 42.466 133.826] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 52.973 134.813] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.918 129.798] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 115.328 146.304] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.939 135.506] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 39.348 141.829] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 136.746 161.964] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.799 120.54] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.295 151.208] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 46.888 131.557] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 87.469 122.204] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 131.2 159.073] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 87.59 131.442] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 104.014 143.907] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.801 119.178] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.603 125.434] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 39.922 146.577] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 65.705 131.106] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 105.544 141.442] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.462 119.07] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 64.631 132.466] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.054 121.873] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 137.525 159.067] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 125.791 153.803] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 66.208 130.053] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.147 124.477] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.139 135.011] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.469 132.756] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.694 127.133] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 52.946 136.195] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.78 122.801] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 72.053 127.709] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 121.485 149.721] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.14 163.261] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.37 131.918] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 68.039 127.796] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 121.789 156.049] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 126.548 152.754] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 44.515 138.713] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 75.94 121.794] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 65.176 126.525] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 78.125 126.917] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.604 157.814] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.353 129.177] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 112.29 145.118] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.147 128.905] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 131.604 160.607] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 50.807 137.824] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.808 130.344] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 72.106 123.581] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 107.825 142.094] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.182 124.893] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 58.854 137.096] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 103.799 139.612] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 122.033 151.669] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 52.954 137.147] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.075 121.167] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 75.132 117.379] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.239 137.402] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 87.947 115.578] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.242 119.855] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.257 125.384] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.878 120.049] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 100.73 134.739] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 133.291 161.389] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.799 122.986] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 54.534 133.51] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 50.608 139.696] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.459 137.825] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.023 133.209] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.514 130.801] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 42.866 135.144] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.689 138.411] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.903 127.867] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 105.02 141.663] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.462 136.923] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 124.386 147.509] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.058 126.805] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 76.753 126.051] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.052 158.827] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 115.358 145.533] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 103.736 141.231] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.397 122.322] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 53.709 142.259] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 138.822 162.824] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 124.257 150.735] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 107.579 141.296] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.313 127.401] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 134.427 162.384] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 126.154 162.784] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.201 130.008] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 91.887 130.945] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 113.162 150.158] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.031 136.219] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.668 121.546] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.126 133.925] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.406 121.342] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.696 119.758] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 129.978 155.77] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 129.026 153.163] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 39.521 138.955] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 111.382 151.038] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.315 112.292] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 120.187 146.715] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 130.304 155.631] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.379 137.29] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 104.851 143.535] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.798 116.284] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 131.403 159.666] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 131.015 160.162] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 101.303 132.752] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.986 119.152] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 40.578 142.469] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 39.471 137.148] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 108.761 141.363] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.447 125.547] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 110.112 142.765] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.578 162.077] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.435 159.99] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.555 122.463] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.528 129.59] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 123.445 155.486] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.757 123.708] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 49.621 141.677] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 100.36 136.194] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 101.024 130.73] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.887 135.703] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 65.301 131.797] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.802 123.909] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 75.585 118.366] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.314 130.972] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 56.676 127.349] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 104.961 144.848] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.902 121.137] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 73.63 126.848] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.286 110.079] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 89.744 117.113] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 128.93 162.128] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.04 153.488] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.493 133.298] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 39.345 136.12] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.591 131.978] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.675 131.079] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 110.468 145.383] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.301 133.141] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.137 143.257] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.74 139.847] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 105.654 142.661] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 69.897 127.135] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 118.832 152.462] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 121.982 149.438] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.976 120.802] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 121.299 149.389] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 124.478 154.2] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 115.33 148.511] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 122.52 151.454] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.522 141.243] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 111.51 145.062] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.669 117.806] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 130.379 158.539] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 116.969 143.401] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 113.987 148.595] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.398 115.281] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 89.104 116.735] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.16 118.206] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 123.209 160.85] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.884 140.002] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 91.226 117.945] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.968 129.62] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 123.267 149.015] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.714 117.787] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 47.613 135.3] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 107.509 144.985] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 53.671 138.273] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.532 123.254] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.529 121.98] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 115.072 140.144] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 99.165 140.345] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.61 130.256] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 67.594 127.293] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 52.832 135.656] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 59.321 137.523] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 100.497 136.22] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 118.024 149.005] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 99.189 137.237] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 59.422 129.251] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 125.307 152.988] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 58.75 130.351] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 110.301 144.933] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 131.258 161.361] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.229 122.39] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 73.595 124.362] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 58.825 134.743] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 55.36 139.086] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 56.178 132.439] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.778 131.866] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.6 121.471] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.909 152.223] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.641 136.735] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 113.841 147.972] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.358 123.76] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 46.926 135.637] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 77.984 124.979] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.693 138.119] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 76.173 126.591] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 78.741 119.592] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 134.03 158.813] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 39.468 137.527] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 61.86 132.438] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.953 121.823] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 127.721 153.218] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 129.164 150.213] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 123.69 156.439] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 73.154 128.381] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 40.648 143.636] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.764 143.543] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 69.831 126.929] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.02 133.825] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.032 130.235] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 127.667 156.658] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 101.924 142.728] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 130.461 157.566] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.524 129.306] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.769 132.315] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 57.508 131.98] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 63.242 130.863] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 70.814 126.081] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 54.247 136.422] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 110.62 141.66] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 39.043 145.578] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.917 152.92] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.988 132.942] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.185 123.808] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.493 131.896] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.644 129.351] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.093 136.208] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 75.444 120.772] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 87.074 132.004] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 120.786 149.403] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.541 131.486] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.536 129.154] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 111.314 147.014] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.338 140.901] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.418 130.092] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.23 127.761] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 75.302 124.592] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 74.7 120.934] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.414 135.679] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.425 111.895] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 87.815 121.435] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 128.536 153.842] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.882 132.767] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 124.915 152.932] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 109.703 140.886] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 39.468 134.653] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 58.762 136.635] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.022 117.022] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 116.027 147.557] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 91.341 120.436] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 55.48 137] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 63.544 129.622] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.448 110.553] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 50.85 134.54] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 55.258 140.497] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 111.444 149.561] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 108.323 146.16] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 59.19 132.09] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 68.33 127.738] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 138.583 161.8] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 124.63 151.195] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.537 122.501] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.805 118.128] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 118.981 150.871] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 105.3 138.842] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 120.892 147.637] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 131.641 155.898] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 67.94 125.276] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 136.218 160.334] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 49.538 134.617] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.021 127.273] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.24 128.888] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.199 125.195] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.3 131.46] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 124.393 149.004] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 74.227 120] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 125.315 155.343] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 65.683 137.986] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.886 130.171] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.963 118.498] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 74.43 125.308] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.907 119.003] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 107 147.36] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.222 127.376] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 119.107 150.984] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 56.541 132.228] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 118.458 152.601] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.48 116.392] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 125.251 150.998] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 120.826 153.387] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 75.322 124.382] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 65.291 132.364] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 133.309 157.454] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.519 127.77] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 62.108 125.757] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.746 127.727] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.317 122.033] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 111.74 145.99] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 53.254 136.79] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.771 127.899] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 55.928 134.361] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.358 121.163] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 133.306 159.117] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.137 122.474] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.781 125.839] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.594 135.71] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 104.432 142.865] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 105.985 136.69] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 135.771 160.044] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.032 130.973] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 121.495 154.873] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 77.249 125.103] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 71.328 125.382] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 130.409 158.785] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.109 118.869] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 131.403 163.754] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.946 122.664] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 87.174 127.469] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 138.523 166.08] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 41.909 142.396] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.381 118.146] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.636 142.737] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 74.294 121.557] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 119.096 143.029] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.289 133.502] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 89.79 121.386] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 112.369 143.683] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 57.419 139.658] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 53.826 135.77] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 130.493 158.613] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 68.191 131.446] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 59.799 135.285] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 89.233 126.42] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 107.015 142.691] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 62.836 136.138] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.444 132.346] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 121.58 153.207] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 117.34 145.925] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.88 161.383] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 134.091 161.499] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 50.694 137.567] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 110.295 146.869] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 91.283 126.799] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 69.493 125.091] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 67.481 130.314] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 101.356 134.204] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 119.585 149.182] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 53.322 134.227] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 127.398 155.915] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 71.762 126.057] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 131.092 160.86] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 137.231 162.187] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 78.204 127.846] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 113.004 148.222] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.481 160.652] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 66.744 124.619] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.082 134.354] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.637 125.07] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 101.547 135.99] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 120.341 148.194] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 67.436 132.393] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.132 117.55] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 89.692 120.778] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 125.283 153.983] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 107.994 140.862] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 59.667 134.597] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 58.89 130.008] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.812 158.057] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 128.431 153.467] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 137.952 164.486] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 70.542 125.842] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.073 158.216] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.923 133.778] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 57.179 131.478] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.349 124.701] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 59.647 129.261] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.111 123.817] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.083 119.932] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 68.305 127.04] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.052 124.128] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 72.693 121.397] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 133.056 161.746] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 62.823 135.114] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.153 136.674] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 68.46 129.032] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 121.516 145.18] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 109.713 145.509] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.758 127.193] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.728 118.741] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.258 121.556] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 71.663 125.491] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.637 129.892] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 117.326 151.947] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 64.691 131.315] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 107.475 142.469] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.381 125.015] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 46.219 134.465] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.369 137.792] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 56.997 135.737] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.225 123.118] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 102.517 139.227] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 61.618 129.285] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 57.143 134.062] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 128.317 160.015] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 70.232 132.735] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.297 133.619] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.803 131.679] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.75 134.86] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 133.999 156.701] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.316 137.067] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 124.031 154.25] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 72.152 125.041] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.044 134.34] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.295 136.448] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.628 127.092] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 65.964 130.18] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 58.044 132.588] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 52.015 134.371] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 101.053 141.292] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.835 139.276] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.423 116.408] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.38 131.351] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 65.59 134.633] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.771 131.844] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 39.279 138.281] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 72.491 129.675] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 101.254 135.784] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 106.107 138.484] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 47.732 132.202] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.888 124.203] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.203 141.837] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.356 122.947] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 69.859 125.265] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 127.485 156.864] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 110.119 148.537] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 41.034 138.231] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 117.897 145.507] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 126.415 154.037] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.917 124.834] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 44.378 136.963] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 78.823 124.911] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.053 119.847] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 71.599 126.435] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.415 119.328] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 78.779 119.777] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 122.243 151.943] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 137.898 160.847] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 87.857 126.861] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.086 127.431] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 124.301 152.939] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.119 139.095] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 77.254 125.232] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 47.856 138.948] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 110.495 145.479] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 73.742 126.09] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.235 122.027] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.945 132.019] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 57.276 129.631] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.488 130.89] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 70.996 121.684] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 136.303 152.906] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 91.724 132.271] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.136 119.978] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 111.588 145.112] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 73.071 124.116] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 110.782 146.415] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.027 130.19] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 122.938 155.712] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.789 135.809] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 124.088 153.777] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.768 127.607] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 101.888 138.15] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.197 161.508] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 138.152 166.525] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.167 130.162] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 75.724 120.282] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.927 123.546] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 51.362 134.028] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 116.593 149.646] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.821 126.745] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 113.07 152.468] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 116.833 151.642] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 66.786 124.482] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.444 113.012] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 126.875 161.604] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.702 116.68] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.806 122.128] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 104.982 133.441] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.946 137.173] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.849 111.967] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 138.071 163.392] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 111.53 146.254] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 111.559 147.582] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 73.396 128.164] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.998 149.543] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 123.215 151.38] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 128.992 159.591] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 57.523 137.09] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 67.455 127.227] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.017 135.534] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 128.546 154.364] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 100.751 135.475] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.068 121.13] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 68.886 127.881] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 104.467 143.583] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 63.848 129.685] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.263 125.721] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 135.457 158.625] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 41.397 141.689] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 89.176 132.175] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.214 116.006] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 42.558 141.436] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.765 120.835] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 126.845 151.555] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 66.571 133.689] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 113.77 147.838] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.977 129.2] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 124.648 151.89] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.376 118.212] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 108.508 137.726] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 133.001 164.475] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.667 132.587] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 56.344 130.145] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.607 133.53] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.441 115.166] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.202 118.404] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 77.437 125.654] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.939 111.632] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 58.112 128.792] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.39 116.421] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 99.759 134.423] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 138.007 162.195] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 115.252 143.822] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.914 112.254] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 49.46 137.497] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 68.803 130.436] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 52.646 135.528] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 101.657 138.982] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 41.883 146.285] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 111.642 152.923] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 134.329 158.553] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.442 125.794] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 115.072 143.358] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 103.604 140.053] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 134.563 160.76] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 47.762 135.756] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 99.838 138.761] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.687 133.767] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 72.086 126.451] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.88 123.083] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 108.907 141.759] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 113.727 151.748] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 51.36 140.931] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 137.427 161.074] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.887 145.473] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 39.785 139.549] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.951 128.195] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.501 134.348] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 52.788 136.745] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.709 144.17] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 136.986 161.494] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.395 120.896] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 125.104 152.268] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 61.932 129.575] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 137.97 166.383] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.471 136.505] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.432 128.12] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 126.715 158.435] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 102.087 142.717] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 108.14 138.055] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.131 132.853] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.698 135.672] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.405 123.396] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 59.829 125.015] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 56.556 131.784] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 75.063 126.347] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 134.478 158.385] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 50.019 135.962] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 75.192 121.469] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 57.581 137.895] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.996 136.163] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 137.829 158.913] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 119.631 149.54] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 62.688 133.756] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 63.439 133.566] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 105.852 142.376] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 87.854 121.409] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 129.67 156.234] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 100.185 141.579] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 99.59 136.975] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 128.791 162.331] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 42.506 142.122] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 120.476 151.354] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 122.956 157.424] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.528 117.181] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 128.852 156.304] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.604 134.257] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 109.264 142.851] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 44.807 138.795] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 105.144 145.636] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.032 115.071] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 44.057 139.306] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 102.744 142.937] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 136.921 161.881] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 132.839 156.103] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 103.308 143.014] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 43.889 142.286] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 64.552 130.229] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.415 125.508] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.636 119.329] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 126.826 157.159] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 105.874 140.856] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 130.664 156.485] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 103.967 133.748] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 73.564 129.88] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.567 117.527] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 49.475 135.853] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 63.568 133.469] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 74.839 122.064] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.192 133.484] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 130.144 155.81] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.163 123.656] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.101 139.912] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.376 129.825] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 65.782 129.396] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 43.884 136.041] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.959 131.543] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.703 124.994] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 122.097 158.215] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 137.09 155.932] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.297 129.8] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 101.226 134.126] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 59.806 132.845] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 43.873 139.935] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.6 116.325] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.676 125.472] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 117.592 151.469] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 66.985 125.53] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 113.69 143.153] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.56 114.046] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 102.989 137.832] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 109.077 147.293] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 52.356 137.232] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 117.406 148.101] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.052 118.449] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 74.334 120.665] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.746 118.344] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.437 132.99] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.885 128.222] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.108 132.31] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 117.906 149.193] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 109.754 143.342] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.787 140.011] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 128.58 160.721] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.838 139.261] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 104.031 138.949] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.069 130.958] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 119.143 147.042] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 127.03 151.478] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.973 126.765] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 131.851 159.49] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.037 129.439] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 50.262 133.575] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 127.641 151.479] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.986 134.67] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.499 118.106] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 125.924 153.583] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 77.588 124.795] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 76.907 122.116] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.437 128.223] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.62 131.066] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.605 124.612] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 105.178 134.97] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 57.99 129.962] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 46.896 142.721] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.793 138.823] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 63.707 128.68] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 101.867 141.329] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 112.068 146.685] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 87.09 118.823] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 49.084 135.144] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.142 125.545] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 110.779 146.289] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.64 125.806] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.917 123.185] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.007 134.051] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 99.209 140.467] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 134.406 159.292] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.334 128.923] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.332 127.892] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 43.809 134.952] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 99.491 133.181] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 91.13 130.819] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 133.25 162.25] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 123.958 155.969] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 112.827 146.993] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 109.094 144.361] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 76.466 121.29] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.897 146.089] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.678 152.437] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 58.95 137.141] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 63.123 128.396] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 46.136 138.548] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.305 128.675] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.008 114.439] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.109 120.111] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.021 134.576] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 122.676 145.22] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.964 124.567] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.6 117.17] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.665 126.51] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 134.957 159.323] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 103.244 137.556] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 65.858 126.17] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.427 138.784] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 63.382 128.258] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 89.264 127.502] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.945 119.906] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 119.497 151.769] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 74.362 125.442] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 95.401 119.23] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 104.512 145.836] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.724 120.81] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 118.836 154.044] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.725 114.548] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.746 142.257] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.462 119.741] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 129.686 157.409] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 122.614 153.599] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 134.376 157.207] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 74.644 127.178] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 119.255 151.167] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 44.258 139.315] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 112.82 142.937] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 64.04 127.372] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 126.541 159.892] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 67.983 131.227] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.813 118.503] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 128.578 158.457] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 59.545 128.975] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.856 131.999] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 81.97 119.733] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.845 117.972] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 68.489 132.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 109.898 140.537] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 89.003 133.356] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 69.866 125.564] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.129 125.062] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 123.312 152.664] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 130.592 158.574] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 46.293 137.784] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.306 128.754] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 75.647 122.294] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 55.198 134.161] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 123.515 150.047] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 137.066 164.444] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 105.896 140.8] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.941 137.664] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.889 117.892] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 44.47 141.627] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.514 142.128] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 42.022 142.035] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 99.859 145.376] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 137.962 159.666] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 47.581 142.815] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 125.519 153.345] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.347 129.213] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 42.448 139.142] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 71.44 127.506] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.928 122.875] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.94 130.02] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.046 125.629] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.8 132.023] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.925 129.382] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 122.253 153.657] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 127.502 154.277] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 110.074 143.335] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.979 124.141] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 102.569 146.104] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 100.514 138.433] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.722 135.734] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.596 115.236] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 51.694 139.144] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.773 127.599] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.243 120.345] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.036 120.548] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 47.034 133.951] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 84.463 122.101] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 52.274 134.03] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.247 117.139] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 116.818 143.528] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 124.506 154.311] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 49.843 139.832] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 98.117 120.236] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 103.82 138.414] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 87.4 132.444] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 89.566 118.449] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.95 115.379] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 134.596 158.961] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 64.991 129.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 123.691 153.239] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.892 137.325] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 44.442 141.156] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 42.895 141.959] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 72.783 125.596] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.317 119.015] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 67.419 131.025] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 108.092 140.04] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.733 146.732] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 108.824 144.691] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 86.808 130.952] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 135.617 160.672] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.172 126.886] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 65.259 120.422] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.808 118.103] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 55.258 130.473] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 67.412 134.138] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 57.623 127.865] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.918 135.792] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.197 128.821] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.489 130.337] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 64.403 129.738] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 137.938 162.284] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 59.873 131.586] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 74.435 123.804] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.651 136.726] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 60.986 130.378] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.88 128.934] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 72.492 122.168] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 130.07 157.601] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 134.771 159.749] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 52.094 129.567] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.971 137.177] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 124.337 150.887] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.411 123.355] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 42.991 137.232] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 87.476 132.863] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.74 134.896] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 45.02 142.058] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 80.433 122.459] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.803 112.279] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 56.279 133.564] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.206 125.523] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 71.462 126.275] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.68 138.421] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 137.495 166.905] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.608 149.929] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 83.519 118.199] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 123.931 155.167] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 100.976 137.181] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 50.613 138.324] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 129.198 156.301] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.739 115.546] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 42.319 136.111] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 91.62 127.583] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 41.611 137.431] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 129.046 161.757] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 89.634 117.696] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.821 117.267] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.258 134.257] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 107.333 144.705] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.103 129.467] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.41 121.487] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 100.444 139.552] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 139.098 159.165] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 130.08 154.739] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.031 115.981] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 51.777 134.612] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.896 144.093] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 56.068 136.191] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 89.134 137.004] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 42.522 132.05] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 135.653 158.205] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 91.551 124.64] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 114.414 140.764] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 97.261 136.205] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.423 135.556] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 119.283 146.142] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 79.77 118.826] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.794 130.014] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 96.863 133.023] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 125.371 152.169] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 92.222 132.386] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 60.27 134.339] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 110.368 143.039] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.593 129.26] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 90.106 112.26] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 126.959 155.886] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 91.487 131.807] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 133.261 162.404] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 118.575 151.504] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 93.92 116.999] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 82.142 126.235] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 52.469 132.421] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 99.932 137.725] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 115.249 146.827] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 136.392 158.879] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 130.732 156.444] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 85.72 127.99] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 49.341 141.878] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 94.095 113.491] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 134.644 162.538] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 127.63 153.406] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.705 129.814] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.733 0 0 0.66 88.823 177.522] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (x) s savemat setmatrix n savemat currentmatrix pop [0 -0.66 0.732 0 30.05 136.989] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (y) s savemat setmatrix % Irpoly n 84.028 90.75 m 95.028 90.75 l 95.028 95.028 l 84.028 95.028 l cl 1 Fbw % Irpoly n 23.528 44.611 m 33.306 44.611 l 33.306 66.611 l 23.528 66.611 l cl 1 Fbw % Irpoly n 82.194 174.78 m 99.917 174.78 l 99.917 181.5 l 82.194 181.5 l cl 1 Fbw % Irpoly n 26.583 128.94 m 32.694 128.94 l 32.694 142.39 l 26.583 142.39 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 87.694 95.333] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica-Oblique02800280) getfont () s 0.00 SG (x) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 -0 1 26.583 52.556] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica-Oblique02800280) getfont () s 0.00 SG (y) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 87.917 178.972] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica-Oblique02800280) getfont () s 0.00 SG (x) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 26.583 137.722] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica-Oblique02800280) getfont () s 0.00 SG (y) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 129.861 27.8056] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(a\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 129.861 111.222] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(b\)) s savemat setmatrix userdict /#copies 1 put showpage grestore end restore %%EndDocument @endspecial 419 2272 a(Figure)15 b(3:)20 b(The)15 b(data)g(sets)f(for) h(the)g(sim)o(ulation)h(exp)q(erimen)o(ts.)p eop %%Page: 42 43 42 42 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(42)423 2582 y @beginspecial 126 @llx 122 @lly 389 @urx 684 @ury 2630 @rwi @setspecial %%BeginDocument: ps/sim-em.ps save userdict /IslandDrawDict 300 dict dup begin put /ncpoint errordict /nocurrentpoint get def errordict begin /nocurrentpoint { dup /pathbbox load eq { pop 0 0 1 1 } { ncpoint } ifelse } bind def end /image_raster { %% sw sh dw dh xs ys translate scale /sh exch def /sw exch def /imagebuf sw 7 add 8 idiv string def sw sh 1 [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } image } bind def /m {moveto} bind def /l {lineto} bind def /c {curveto} bind def /n {newpath} bind def /cl {closepath} bind def /ar { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll translate rotate scale n 0 0 1 5 3 roll arc setmatrix } bind def /arn { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll translate rotate scale n 0 0 1 5 3 roll arcn setmatrix } bind def /el { %% sx sy rot tx ty matrix currentmatrix 6 1 roll translate rotate scale n 0 0 1 0 360 arc setmatrix cl } bind def /bp {setlinejoin setlinewidth setrgbcolor} bind def /bpbw {setlinejoin setlinewidth setgray} bind def /lw {setlinewidth} bind def /lj {setlinejoin} bind def /gr {setgray} bind def /BPSIDE 32 def %% pixels per pattern side /PATFREQ 3.0 def %% pattern pixels per mm /dp_mat [PATFREQ 0 0 PATFREQ 0 0] def /dp_pw BPSIDE def %% pattern pixel width /dp_ph BPSIDE def %% pattern pixel height /dp_w dp_pw PATFREQ div def %% pattern mm width /dp_h dp_ph PATFREQ div def %% pattern mm height /dp_bs 1 def %% pattern bits per pixel /savemat matrix def /topmat matrix def /patmat matrix def /patpath { /inv exch def topmat setmatrix pathbbox %% get lo - hi indecies /hy exch dp_h div floor cvi def /hx exch dp_w div floor cvi def /ly exch dp_h div floor cvi def /lx exch dp_w div floor cvi def lx 1 hx { dp_w mul ly 1 hy { dp_h mul exch dup 3 1 roll exch patmat currentmatrix pop translate dp_pw dp_ph inv dp_mat dp_proc imagemask patmat setmatrix } for pop } for } bind def % setpattern brush of patterns instead of gray /setpattern { /blue exch def /green exch def /red exch def /freq exch def /bwidth exch def /bpside exch def /bstring exch def /onbits 0 def /offbits 0 def freq 0 {/y exch def /x exch def /xindex x 1 add 2 div bpside mul cvi def /yindex y 1 add 2 div bpside mul cvi def bstring yindex bwidth mul xindex 8 idiv add get not 1 7 xindex 8 mod sub bitshift and 0 ne {/onbits onbits 1 add def 1} {/offbits offbits 1 add def 0} ifelse } setscreen {} settransfer systemdict /setcmykcolor known { /fact 1 onbits offbits onbits add div sub def 1 red sub fact mul 1 green sub fact mul 1 blue sub fact mul 0 setcmykcolor } { offbits offbits onbits add div setgray } ifelse } bind def /dmatrix matrix def /dpi 72 0 dmatrix defaultmatrix dtransform dup mul exch dup mul add sqrt def /B {gsave bp stroke grestore} bind def %% brush: gr lw lj /Bbw {gsave bpbw stroke grestore} bind def %% brush: gr lw lj /F {gsave setrgbcolor eofill grestore} bind def %% fill: gr /Fbw {gsave setgray eofill grestore} bind def %% fill: gr /PB {gsave setlinejoin setlinewidth setpattern stroke grestore} bind def /PF {gsave eoclip patpath grestore} bind def /BB { gsave setrgbcolor setlinejoin setlinewidth strokepath clip patpath grestore } bind def /BLACK { 0.0 } bind def /CP {closepath} bind def /FI {eofill} bind def /E {exch} bind def /FF {findfont} bind def /GR {grestore} bind def /GS {gsave} bind def /MF {makefont} bind def /NP {newpath} bind def /RO {rotate} bind def /ST {stroke} bind def /SC {scale} bind def /SF {setfont} bind def /SG {setgray} bind def /SLC {setlinecap} bind def /SLJ {setlinejoin} bind def /SLW {setlinewidth} bind def /TR {translate} bind def /WHITE { 1.0 } bind def /m {moveto} bind def /r {rmoveto} bind def /l {lineto} bind def /sp {x 0 rmoveto} bind def /rl {rlineto} bind def /s {show} bind def /box { NP m l l l CP } bind def /pageboundary { NP m l l l CP } bind def /BS { % black stroke GS SLJ SLW BLACK SG ST GR } bind def /WS { % white stroke GS SLJ SLW WHITE SG ST GR } bind def /reencode_small_dict 12 dict def /ReencodeSmall { reencode_small_dict begin /new_codes_and_names E def /new_font_name E def /base_font_name E def /base_font_dict base_font_name FF def /newfont base_font_dict maxlength dict def base_font_dict { E dup /FID ne { dup /Encoding eq { E dup length array copy newfont 3 1 roll put } { E newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName new_font_name put new_codes_and_names aload pop new_codes_and_names length 2 idiv { newfont /Encoding get 3 1 roll put } repeat new_font_name newfont definefont pop end %reencode_small_dict } def /extended_Zapf [ 8#223 /a89 8#224 /a90 8#225 /a93 8#226 /a94 8#227 /a91 8#230 /a92 8#231 /a205 8#232 /a85 8#233 /a206 8#234 /a86 8#235 /a87 8#236 /a88 8#237 /a95 8#240 /a96 ] def /extended_Standard [ 29 /thorn 30 /yacute 31 /divide 128 /Acircumflex 129 /Adieresis 130 /Agrave 131 /Aring 132 /Atilde 133 /Ccedilla 134 /Eacute 135 /Ecircumflex 136 /Edieresis 137 /Egrave 138 /Iacute 139 /Icircumflex 140 /Idieresis 141 /Igrave 142 /Ntilde 143 /Oacute 144 /Ocircumflex 145 /Odieresis 146 /Ograve 147 /Otilde 148 /Scaron 149 /Uacute 150 /Ucircumflex 151 /Udieresis 152 /Ugrave 153 /Ydieresis 154 /Zcaron 155 /aacute 156 /acircumflex 157 /adieresis 158 /agrave 159 /aring 160 /atilde 161 /exclamdown 162 /cent 163 /sterling 164 /fraction 165 /yen 166 /florin 167 /section 168 /currency 169 /quotesingle 170 /quotedblleft 171 /guillemotleft 172 /guilsinglleft 173 /guilsinglright 174 /fi 175 /fl 176 /plusminus 177 /endash 178 /dagger 179 /daggerdbl 180 /periodcentered 181 /twosuperior 182 /paragraph 183 /bullet 184 /quotesinglebase 185 /quotedblbase 186 /quotedblright 187 /guillemotright 188 /ellipsis 189 /perthousand 190 /threesuperior 191 /questiondown 192 /mu 193 /grave 194 /acute 195 /circumflex 196 /tilde 197 /macron 198 /breve 199 /dotaccent 200 /dieresis 201 /onesuperior 202 /ring 203 /cedilla 204 /onequarter 205 /hungarumlaut 206 /ogonek 207 /caron 208 /emdash 209 /ccedilla 210 /copyright 211 /eacute 212 /ecircumflex 213 /edieresis 214 /egrave 215 /iacute 216 /icircumflex 217 /idieresis 218 /igrave 219 /logicalnot 220 /minus 221 /ntilde 222 /oacute 223 /ocircumflex 224 /odieresis 225 /AE 226 /onehalf 227 /ordfeminine 228 /ograve 229 /otilde 230 /registered 231 /scaron 232 /Lslash 233 /Oslash 234 /OE 235 /ordmasculine 236 /trademark 237 /uacute 238 /ucircumflex 239 /udieresis 240 /ugrave 241 /ae 242 /ydieresis 243 /zcaron 244 /Aacute 245 /dotlessi 246 /threequarters 247 /Eth 248 /lslash 249 /oslash 250 /oe 251 /germandbls 252 /multiply 253 /Yacute 254 /Thorn 255 /eth ] def /extended_Symbol [ ] def /extend_font { % stack: fontname newfontname E dup (ZapfDingbats) eq { cvn E cvn extended_Zapf ReencodeSmall } { dup (Symbol) eq { cvn E cvn extended_Symbol ReencodeSmall } { cvn E cvn extended_Standard ReencodeSmall } ifelse } ifelse } bind def /getfont { /f E def f cvn where % { begin f cvx cvn exec SF end } { begin f cvn load exec SF end } % { f 0 f length 8 sub getinterval (LocalFont) extend_font %/LocalFont FF { f 0 f length 8 sub getinterval dup dup length 1 add string /localfont exch def localfont exch 0 exch putinterval localfont dup length 1 sub (X) putinterval localfont extend_font localfont FF /xsz f f length 4 sub 4 getinterval cvi def /ysz f f length 8 sub 4 getinterval cvi def [ xsz 0 0 ysz neg 0 0 ] MF dup f cvn E def SF } ifelse } bind def /ul { % space drop thickness GS currentpoint currentlinewidth currentpoint NP m 6 -3 roll SLW 0 E r 0 rl ST SLW m GR } bind def /ss { currentpoint pop E m } bind def /image_raster { % sw sh dw dh xs ys TR SC /sh E def /sw E def /imagebuf sw 7 add 8 idiv string def sw sh 1 [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } image } bind def /imagemask_raster { TR SC /sh E def /sw E def /imagebuf sw 7 add 8 idiv string def sw sh false [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } imagemask } bind def /image_color_raster { % sw sh sd dw dh xs ys systemdict /colorimage known not { /colorimage /colimg load def } if TR SC /sd E def /sh E def /sw E def /imagebuf sw 3 mul sd mul 7 add 8 idiv string def sw sh sd [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } false 3 colorimage } bind def /nx { /x E def } bind def 0. nx .9 dup scale gsave 2.83465 -2.83465 scale 0 -279.4 translate topmat currentmatrix pop % Group n 62.78 57.621 m 62.78 14.547 l 151.68 14.547 l 151.68 57.621 l 62.78 57.621 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.434 56.017 58.145] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1600) s savemat setmatrix n 63.662 52.237 m 62.78 52.237 l gsave 0 0.1 1 Bbw grestore n 151.68 52.237 m 150.8 52.237 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.434 56.017 52.76] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1400) s savemat setmatrix n 63.662 46.852 m 62.78 46.852 l gsave 0 0.1 1 Bbw grestore n 151.68 46.852 m 150.8 46.852 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.434 56.017 47.376] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1200) s savemat setmatrix n 63.662 41.468 m 62.78 41.468 l gsave 0 0.1 1 Bbw grestore n 151.68 41.468 m 150.8 41.468 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.434 56.017 41.992] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1000) s savemat setmatrix n 63.662 36.084 m 62.78 36.084 l gsave 0 0.1 1 Bbw grestore n 151.68 36.084 m 150.8 36.084 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.434 57.327 36.608] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-800) s savemat setmatrix n 63.662 30.699 m 62.78 30.699 l gsave 0 0.1 1 Bbw grestore n 151.68 30.699 m 150.8 30.699 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.434 57.327 31.223] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-600) s savemat setmatrix n 63.662 25.316 m 62.78 25.316 l gsave 0 0.1 1 Bbw grestore n 151.68 25.316 m 150.8 25.316 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.434 57.327 25.84] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-400) s savemat setmatrix n 63.662 19.931 m 62.78 19.931 l gsave 0 0.1 1 Bbw grestore n 151.68 19.931 m 150.8 19.931 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.434 57.327 20.456] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-200) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 60.815 15.071] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 62.125 59.542] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 77.597 57.167 m 77.597 57.621 l gsave 0 0.1 1 Bbw grestore n 77.597 14.547 m 77.597 15.001 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.434 76.287 59.542] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 92.415 57.167 m 92.415 57.621 l gsave 0 0.1 1 Bbw grestore n 92.415 14.547 m 92.415 15.001 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.434 91.105 59.542] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.23 57.167 m 107.23 57.621 l gsave 0 0.1 1 Bbw grestore n 107.23 14.547 m 107.23 15.001 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.434 105.922 59.542] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.05 57.167 m 122.05 57.621 l gsave 0 0.1 1 Bbw grestore n 122.05 14.547 m 122.05 15.001 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.434 120.739 59.542] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 136.86 57.167 m 136.86 57.621 l gsave 0 0.1 1 Bbw grestore n 136.86 14.547 m 136.86 15.001 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.434 135.556 59.542] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 150.373 59.542] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 63.83 14.844] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 65.311 56.647] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 66.793 45.113] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 68.274 36.813] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 69.757 33.994] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 71.238 33.103] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 72.72 32.382] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 74.201 31.761] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 75.684 31.206] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 77.165 30.699] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 78.647 30.213] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 80.128 29.71] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 81.61 29.13] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 83.093 28.356] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 84.574 27.144] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 86.056 25.099] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 87.537 22.406] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 89.019 21.049] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 90.5 20.91] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 91.982 20.877] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 93.463 20.862] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 94.946 20.851] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 96.427 20.842] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 97.909 20.834] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 99.39 20.827] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 100.873 20.819] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 102.354 20.813] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 103.836 20.806] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 105.317 20.801] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 106.799 20.796] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 108.28 20.791] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 109.762 20.785] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 111.243 20.781] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 112.726 20.777] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 114.207 20.772] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 115.69 20.768] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 117.171 20.765] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 118.653 20.761] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 120.134 20.758] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 121.616 20.754] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 123.097 20.752] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 124.579 20.748] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 126.06 20.745] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 127.543 20.742] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 129.024 20.74] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 130.506 20.737] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 131.987 20.735] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 133.47 20.732] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 134.951 20.73] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 136.433 20.728] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 137.914 20.726] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.434 98.075 63.151] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.434 0.65 0 54.388 42.312] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the log-likelihood) s savemat setmatrix % Group n 62.72 110.9 m 62.72 68.659 l 151.68 68.659 l 151.68 110.9 l 62.72 110.9 l gsave 0 0.1 1 Bbw grestore n 63.603 109.28 m 62.72 109.28 l gsave 0 0.1 1 Bbw grestore n 151.68 109.28 m 150.8 109.28 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.425 59.884 109.791] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1) s savemat setmatrix n 63.603 101.15 m 62.72 101.15 l gsave 0 0.1 1 Bbw grestore n 151.68 101.15 m 150.8 101.15 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.425 60.755 101.668] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 63.603 93.031 m 62.72 93.031 l gsave 0 0.1 1 Bbw grestore n 151.68 93.031 m 150.8 93.031 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.425 60.755 93.545] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n 63.603 84.908 m 62.72 84.908 l gsave 0 0.1 1 Bbw grestore n 151.68 84.908 m 150.8 84.908 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.425 60.755 85.421] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2) s savemat setmatrix n 63.603 76.783 m 62.72 76.783 l gsave 0 0.1 1 Bbw grestore n 151.68 76.783 m 150.8 76.783 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.425 60.755 77.297] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (3) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.425 60.755 69.174] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (4) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.425 62.065 112.787] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 77.547 110.46 m 77.547 110.9 l gsave 0 0.1 1 Bbw grestore n 77.547 68.659 m 77.547 69.105 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.425 76.237 112.787] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 92.376 110.46 m 92.376 110.9 l gsave 0 0.1 1 Bbw grestore n 92.376 68.659 m 92.376 69.105 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.425 91.065 112.787] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.2 110.46 m 107.2 110.9 l gsave 0 0.1 1 Bbw grestore n 107.2 68.659 m 107.2 69.105 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.425 105.892 112.787] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.03 110.46 m 122.03 110.9 l gsave 0 0.1 1 Bbw grestore n 122.03 68.659 m 122.03 69.105 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.425 120.719 112.787] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 136.86 110.46 m 136.86 110.9 l gsave 0 0.1 1 Bbw grestore n 136.86 68.659 m 136.86 69.105 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.425 135.546 112.787] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.425 150.373 112.787] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n 138.34 72.506 m 136.86 72.507 l 135.37 72.508 l 133.89 72.509 l 132.41 72.51 l 130.92 72.511 l 129.44 72.512 l 127.96 72.514 l 126.48 72.516 l 124.99 72.517 l 123.51 72.519 l 122.03 72.521 l 120.55 72.523 l 119.06 72.525 l 117.58 72.526 l 116.1 72.527 l 114.61 72.53 l 113.13 72.531 l 111.65 72.533 l 110.17 72.536 l 108.68 72.539 l 107.2 72.541 l 105.72 72.543 l 104.24 72.545 l 102.75 72.548 l 101.27 72.55 l 99.788 72.552 l 98.306 72.554 l 96.822 72.555 l 95.34 72.553 l 93.857 72.545 l 92.376 72.527 l 90.892 72.495 l 89.411 72.455 l 87.927 72.832 l 86.444 76.223 l 84.961 81.169 l 83.479 84.4 l 81.996 86.257 l 80.512 87.444 l 79.031 88.327 l 77.547 89.064 l 76.065 89.733 l 74.582 90.382 l 73.1 91.036 l 71.616 91.727 l 70.135 92.512 l 68.651 93.5 l 67.168 94.363 l 65.685 97.393 l 64.203 95.281 l gsave 0 0.1 1 Bbw grestore n 138.34 109.1 m 136.86 109.1 l 135.37 109.1 l 133.89 109.1 l 132.41 109.1 l 130.92 109.1 l 129.44 109.1 l 127.96 109.1 l 126.48 109.1 l 124.99 109.1 l 123.51 109.1 l 122.03 109.1 l 120.55 109.1 l 119.06 109.1 l 117.58 109.1 l 116.1 109.1 l 114.61 109.1 l 113.13 109.1 l 111.65 109.1 l 110.17 109.1 l 108.68 109.1 l 107.2 109.1 l 105.72 109.09 l 104.24 109.09 l 102.75 109.09 l 101.27 109.09 l 99.788 109.09 l 98.306 109.09 l 96.822 109.09 l 95.34 109.09 l 93.857 109.09 l 92.376 109.1 l 90.892 109.11 l 89.411 109.12 l 87.927 109 l 86.444 107.92 l 84.961 106.35 l 83.479 105.32 l 81.996 104.73 l 80.512 104.34 l 79.031 104.06 l 77.547 103.81 l 76.065 103.59 l 74.582 103.38 l 73.1 103.16 l 71.616 102.93 l 70.135 102.66 l 68.651 102.32 l 67.168 102.02 l 65.685 101.22 l 64.203 99.175 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.651 0 0 0.425 98.04 116.325] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.425 0.651 0 54.322 102.606] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the parameter values of expert-net-1) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.425 99.788 105.686] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1st parameter) s savemat setmatrix n savemat currentmatrix pop [0.651 0 0 0.425 99.788 76.44] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Group n 63.236 165.19 m 63.236 122.22 l 151.99 122.22 l 151.99 165.19 l 63.236 165.19 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 61.275 165.713] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 64.117 160.89 m 63.236 160.89 l gsave 0 0.1 1 Bbw grestore n 151.99 160.89 m 151.11 160.89 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 59.315 161.416] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.1) s savemat setmatrix n 64.117 156.6 m 63.236 156.6 l gsave 0 0.1 1 Bbw grestore n 151.99 156.6 m 151.11 156.6 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 59.315 157.119] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.2) s savemat setmatrix n 64.117 152.3 m 63.236 152.3 l gsave 0 0.1 1 Bbw grestore n 151.99 152.3 m 151.11 152.3 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 59.315 152.821] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.3) s savemat setmatrix n 64.117 148 m 63.236 148 l gsave 0 0.1 1 Bbw grestore n 151.99 148 m 151.11 148 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 59.315 148.524] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.4) s savemat setmatrix n 64.117 143.71 m 63.236 143.71 l gsave 0 0.1 1 Bbw grestore n 151.99 143.71 m 151.11 143.71 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 59.315 144.228] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.5) s savemat setmatrix n 64.117 139.41 m 63.236 139.41 l gsave 0 0.1 1 Bbw grestore n 151.99 139.41 m 151.11 139.41 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 59.315 139.931] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.6) s savemat setmatrix n 64.117 135.11 m 63.236 135.11 l gsave 0 0.1 1 Bbw grestore n 151.99 135.11 m 151.11 135.11 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 59.315 135.633] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.7) s savemat setmatrix n 64.117 130.81 m 63.236 130.81 l gsave 0 0.1 1 Bbw grestore n 151.99 130.81 m 151.11 130.81 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 59.315 131.336] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.8) s savemat setmatrix n 64.117 126.51 m 63.236 126.51 l gsave 0 0.1 1 Bbw grestore n 151.99 126.51 m 151.11 126.51 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 59.315 127.038] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.9) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.434 61.275 122.741] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.434 62.583 167.107] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 78.028 164.74 m 78.028 165.19 l gsave 0 0.1 1 Bbw grestore n 78.028 122.22 m 78.028 122.67 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 76.721 167.107] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 92.821 164.74 m 92.821 165.19 l gsave 0 0.1 1 Bbw grestore n 92.821 122.22 m 92.821 122.67 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 91.514 167.107] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.61 164.74 m 107.61 165.19 l gsave 0 0.1 1 Bbw grestore n 107.61 122.22 m 107.61 122.67 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 106.307 167.107] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.41 164.74 m 122.41 165.19 l gsave 0 0.1 1 Bbw grestore n 122.41 122.22 m 122.41 122.67 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 121.099 167.107] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 137.2 164.74 m 137.2 165.19 l gsave 0 0.1 1 Bbw grestore n 137.2 122.22 m 137.2 122.67 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 135.891 167.107] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.434 150.683 167.107] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n 138.68 131.29 m 137.2 131.29 l 135.72 131.3 l 134.24 131.3 l 132.76 131.3 l 131.28 131.31 l 129.8 131.31 l 128.32 131.32 l 126.84 131.32 l 125.36 131.32 l 123.88 131.33 l 122.41 131.33 l 120.93 131.34 l 119.45 131.34 l 117.97 131.34 l 116.49 131.35 l 115.01 131.35 l 113.53 131.36 l 112.05 131.36 l 110.57 131.37 l 109.09 131.38 l 107.61 131.38 l 106.13 131.39 l 104.66 131.39 l 103.17 131.4 l 101.7 131.41 l 100.22 131.41 l 98.738 131.42 l 97.26 131.42 l 95.78 131.41 l 94.301 131.39 l 92.821 131.34 l 91.343 131.26 l 89.863 131.17 l 88.384 131.27 l 86.905 132.11 l 85.425 132.58 l 83.946 132.53 l 82.467 132.41 l 80.986 132.47 l 79.508 132.71 l 78.028 133.13 l 76.55 133.77 l 75.069 134.71 l 73.591 136.02 l 72.112 137.51 l 70.633 138.51 l 69.153 138.14 l 67.674 134.1 l 66.195 162.36 l 64.716 140 l gsave 0 0.1 1 Bbw grestore n 138.68 147.58 m 137.2 147.59 l 135.72 147.59 l 134.24 147.59 l 132.76 147.59 l 131.28 147.59 l 129.8 147.59 l 128.32 147.59 l 126.84 147.59 l 125.36 147.59 l 123.88 147.59 l 122.41 147.59 l 120.93 147.59 l 119.45 147.59 l 117.97 147.59 l 116.49 147.59 l 115.01 147.59 l 113.53 147.59 l 112.05 147.6 l 110.57 147.6 l 109.09 147.6 l 107.61 147.6 l 106.13 147.6 l 104.66 147.6 l 103.17 147.6 l 101.7 147.6 l 100.22 147.6 l 98.738 147.6 l 97.26 147.6 l 95.78 147.6 l 94.301 147.6 l 92.821 147.59 l 91.343 147.58 l 89.863 147.57 l 88.384 147.62 l 86.905 148.01 l 85.425 148.34 l 83.946 148.48 l 82.467 148.57 l 80.986 148.74 l 79.508 148.99 l 78.028 149.34 l 76.55 149.84 l 75.069 150.56 l 73.591 151.56 l 72.112 152.75 l 70.633 153.66 l 69.153 153.5 l 67.674 150 l 66.195 144.2 l 64.716 158.47 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.434 98.473 170.706] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.433 0.65 0 54.857 156.751] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the parameter values of expert-net-2) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.434 100.216 129.176] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1st parameter) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.434 100.216 146.364] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Group n 63.466 218.98 m 63.466 176.08 l 152.29 176.08 l 152.29 218.98 l 63.466 218.98 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.432 61.503 219.5] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 64.347 212.85 m 63.466 212.85 l gsave 0 0.1 1 Bbw grestore n 152.29 212.85 m 151.41 212.85 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.432 59.54 213.372] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.2) s savemat setmatrix n 64.347 206.72 m 63.466 206.72 l gsave 0 0.1 1 Bbw grestore n 152.29 206.72 m 151.41 206.72 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.432 59.54 207.244] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.4) s savemat setmatrix n 64.347 200.59 m 63.466 200.59 l gsave 0 0.1 1 Bbw grestore n 152.29 200.59 m 151.41 200.59 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.432 59.54 201.115] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.6) s savemat setmatrix n 64.347 194.47 m 63.466 194.47 l gsave 0 0.1 1 Bbw grestore n 152.29 194.47 m 151.41 194.47 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.432 59.54 194.987] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.8) s savemat setmatrix n 64.347 188.34 m 63.466 188.34 l gsave 0 0.1 1 Bbw grestore n 152.29 188.34 m 151.41 188.34 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.432 61.503 188.859] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n 64.347 182.21 m 63.466 182.21 l gsave 0 0.1 1 Bbw grestore n 152.29 182.21 m 151.41 182.21 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.432 59.54 182.731] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1.2) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.432 59.54 176.602] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1.4) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.432 62.812 220.892] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 78.27 218.53 m 78.27 218.98 l gsave 0 0.1 1 Bbw grestore n 78.27 176.08 m 78.27 176.53 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.432 76.962 220.892] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 93.077 218.53 m 93.077 218.98 l gsave 0 0.1 1 Bbw grestore n 93.077 176.08 m 93.077 176.53 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.432 91.768 220.892] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.88 218.53 m 107.88 218.98 l gsave 0 0.1 1 Bbw grestore n 107.88 176.08 m 107.88 176.53 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.432 106.572 220.892] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.68 218.53 m 122.68 218.98 l gsave 0 0.1 1 Bbw grestore n 122.68 176.08 m 122.68 176.53 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.432 121.377 220.892] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 137.49 218.53 m 137.49 218.98 l gsave 0 0.1 1 Bbw grestore n 137.49 176.08 m 137.49 176.53 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.432 136.181 220.892] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.432 150.986 220.892] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n 138.97 216.26 m 137.49 216.26 l 136.01 216.26 l 134.53 216.26 l 133.05 216.26 l 131.57 216.26 l 130.09 216.26 l 128.61 216.26 l 127.13 216.26 l 125.65 216.26 l 124.17 216.26 l 122.68 216.26 l 121.2 216.26 l 119.72 216.26 l 118.24 216.26 l 116.76 216.26 l 115.28 216.26 l 113.8 216.26 l 112.32 216.26 l 110.84 216.26 l 109.36 216.26 l 107.88 216.26 l 106.4 216.26 l 104.92 216.26 l 103.44 216.27 l 101.96 216.27 l 100.48 216.27 l 98.997 216.27 l 97.516 216.27 l 96.037 216.27 l 94.556 216.26 l 93.077 216.26 l 91.595 216.26 l 90.116 216.25 l 88.634 215.95 l 87.154 214.73 l 85.673 213.44 l 84.193 212.61 l 82.712 212.12 l 81.231 211.8 l 79.751 211.56 l 78.27 211.35 l 76.791 211.14 l 75.31 210.93 l 73.83 210.7 l 72.349 210.39 l 70.869 209.94 l 69.388 209.39 l 67.907 207.36 l 66.426 188.25 l 64.946 188.34 l gsave 0 0.1 1 Bbw grestore n 138.97 216.22 m 137.49 216.22 l 136.01 216.22 l 134.53 216.22 l 133.05 216.22 l 131.57 216.22 l 130.09 216.22 l 128.61 216.22 l 127.13 216.22 l 125.65 216.22 l 124.17 216.22 l 122.68 216.22 l 121.2 216.22 l 119.72 216.22 l 118.24 216.22 l 116.76 216.22 l 115.28 216.22 l 113.8 216.22 l 112.32 216.22 l 110.84 216.22 l 109.36 216.22 l 107.88 216.22 l 106.4 216.22 l 104.92 216.22 l 103.44 216.22 l 101.96 216.22 l 100.48 216.22 l 98.997 216.22 l 97.516 216.22 l 96.037 216.22 l 94.556 216.22 l 93.077 216.22 l 91.595 216.22 l 90.116 216.22 l 88.634 216.22 l 87.154 216.3 l 85.673 216.35 l 84.193 216.42 l 82.712 216.5 l 81.231 216.57 l 79.751 216.62 l 78.27 216.66 l 76.791 216.68 l 75.31 216.69 l 73.83 216.7 l 72.349 216.71 l 70.869 216.71 l 69.388 216.45 l 67.907 206.32 l 66.426 178.06 l 64.946 188.34 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.432 98.732 224.486] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.432 0.65 0 55.08 205.634] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the estimated variances) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.432 115.282 187.989] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (- with expert-net-1) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.432 115.282 194.118] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-- with expert-net-2) s savemat setmatrix % Irpoly n 90.444 60.5 m 121.61 60.5 l 121.61 67.222 l 90.444 67.222 l cl 1 Fbw % Irpoly n 49.5 21.694 m 55.306 21.694 l 55.306 52.861 l 49.5 52.861 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 52.814 47.289] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (log likelihood) s savemat setmatrix % Irpoly n 90.444 114.28 m 128.03 114.28 l 128.03 121 l 90.444 121 l cl 1 Fbw % Irpoly n 90.444 115.19 m 120.69 115.19 l 120.69 119.47 l 90.444 119.47 l cl 1 Fbw % Irpoly n 91.361 168.67 m 121.31 168.67 l 121.31 173.86 l 91.361 173.86 l cl 1 Fbw % Irpoly n 94.111 222.44 m 119.78 222.44 l 119.78 227.03 l 94.111 227.03 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 101.139 228.556] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (epochs) s savemat setmatrix % Irpoly n 48.583 73.944 m 57.139 73.944 l 57.139 109.39 l 48.583 109.39 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 52.624 109.738] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (parameters \(expert 1\)) s savemat setmatrix % Irpoly n 45.528 129.56 m 56.528 129.56 l 56.528 167.44 l 45.528 167.44 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 52.846 163.127] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (parameters \(expert 2\)) s savemat setmatrix % Irpoly n 49.194 184.86 m 56.833 184.86 l 56.833 217.25 l 49.194 217.25 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 53.018 205.771] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (variances) s savemat setmatrix % Irpoly n 95.028 102.36 m 117.03 102.36 l 117.03 106.94 l 95.028 106.94 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 96.556 106.333] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (1st parameter) s savemat setmatrix % Irpoly n 95.028 74.556 m 119.78 74.556 l 119.78 77.917 l 95.028 77.917 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 96.25 77.306] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Irpoly n 94.111 126.81 m 118.86 126.81 l 118.86 130.78 l 94.111 130.78 l cl 1 Fbw % Irpoly n 94.722 140.86 m 120.39 140.86 l 120.39 146.67 l 94.722 146.67 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 96.556 129.861] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (1st parameter) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 95.944 146.361] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Irpoly n 99.306 180.58 m 143.92 180.58 l 143.92 206.25 l 99.306 206.25 l cl 1 Fbw % Group n savemat currentmatrix pop [1 0 0 1 87.694 202.278] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (expert 1) s savemat setmatrix n 73.279 207.56 m 79.765 200.78 85.213 201.53 85.213 201.53 c 85.472 201.28 l 1 Fbw gsave 0 0 0 Bbw grestore n 74.576 206.31 m 72.111 208.69 l 1 Fbw n 72.111 208.69 m 73.327 206.36 l 74.486 207.55 l cl 0 Fbw n 74.576 206.31 m 73.907 206.95 l gsave 0 0 0 Bbw grestore % Group n 82.194 214.19 m 89.833 205.94 96.25 206.86 96.25 206.86 c 96.555 206.56 l 1 Fbw gsave 0 0 0 Bbw grestore n 83.722 212.67 m 80.819 215.57 l 1 Fbw n 80.819 215.57 m 81.998 213.21 l 83.176 214.39 l cl 0 Fbw n 83.722 212.67 m 82.587 213.8 l gsave 0 0 0 Bbw grestore n savemat currentmatrix pop [1 0 0 1 99.0004 207.778] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (expert 2) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143 21.0833] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(a\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143 75.1667] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(b\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143 128.944] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(c\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143 182.722] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(d\)) s savemat setmatrix userdict /#copies 1 put showpage grestore end restore %%EndDocument @endspecial 224 2680 a(Figure)14 b(4:)19 b(The)14 b(p)q(erformance)g (of)f(the)h(original)h(EM)f(algorithm:)19 b(\(a\))13 b(The)h(ev)o(olution)224 2737 y(of)g(the)g(log)g(lik)o(eliho)q(o)q(d;)j (\(b\))c(the)h(ev)o(olution)h(of)f(the)g(parameters)f(for)g(exp)q(ert)i (net)o(w)o(ork)224 2793 y(1;)e(\(c\))e(the)h(ev)o(olution)h(of)f(the)g (parameters)f(for)h(exp)q(ert)g(net)o(w)o(ork)f(2;)i(\(d\))f(the)g(ev)o (olution)224 2850 y(of)j(the)g(v)m(ariances.)p eop %%Page: 43 44 43 43 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(43)423 2582 y @beginspecial 126 @llx 122 @lly 389 @urx 684 @ury 2630 @rwi @setspecial %%BeginDocument: ps/sim-linesearch1.ps save userdict /IslandDrawDict 300 dict dup begin put /ncpoint errordict /nocurrentpoint get def errordict begin /nocurrentpoint { dup /pathbbox load eq { pop 0 0 1 1 } { ncpoint } ifelse } bind def end /image_raster { %% sw sh dw dh xs ys translate scale /sh exch def /sw exch def /imagebuf sw 7 add 8 idiv string def sw sh 1 [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } image } bind def /m {moveto} bind def /l {lineto} bind def /c {curveto} bind def /n {newpath} bind def /cl {closepath} bind def /ar { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll translate rotate scale n 0 0 1 5 3 roll arc setmatrix } bind def /arn { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll translate rotate scale n 0 0 1 5 3 roll arcn setmatrix } bind def /el { %% sx sy rot tx ty matrix currentmatrix 6 1 roll translate rotate scale n 0 0 1 0 360 arc setmatrix cl } bind def /bp {setlinejoin setlinewidth setrgbcolor} bind def /bpbw {setlinejoin setlinewidth setgray} bind def /lw {setlinewidth} bind def /lj {setlinejoin} bind def /gr {setgray} bind def /BPSIDE 32 def %% pixels per pattern side /PATFREQ 3.0 def %% pattern pixels per mm /dp_mat [PATFREQ 0 0 PATFREQ 0 0] def /dp_pw BPSIDE def %% pattern pixel width /dp_ph BPSIDE def %% pattern pixel height /dp_w dp_pw PATFREQ div def %% pattern mm width /dp_h dp_ph PATFREQ div def %% pattern mm height /dp_bs 1 def %% pattern bits per pixel /savemat matrix def /topmat matrix def /patmat matrix def /patpath { /inv exch def topmat setmatrix pathbbox %% get lo - hi indecies /hy exch dp_h div floor cvi def /hx exch dp_w div floor cvi def /ly exch dp_h div floor cvi def /lx exch dp_w div floor cvi def lx 1 hx { dp_w mul ly 1 hy { dp_h mul exch dup 3 1 roll exch patmat currentmatrix pop translate dp_pw dp_ph inv dp_mat dp_proc imagemask patmat setmatrix } for pop } for } bind def % setpattern brush of patterns instead of gray /setpattern { /blue exch def /green exch def /red exch def /freq exch def /bwidth exch def /bpside exch def /bstring exch def /onbits 0 def /offbits 0 def freq 0 {/y exch def /x exch def /xindex x 1 add 2 div bpside mul cvi def /yindex y 1 add 2 div bpside mul cvi def bstring yindex bwidth mul xindex 8 idiv add get not 1 7 xindex 8 mod sub bitshift and 0 ne {/onbits onbits 1 add def 1} {/offbits offbits 1 add def 0} ifelse } setscreen {} settransfer systemdict /setcmykcolor known { /fact 1 onbits offbits onbits add div sub def 1 red sub fact mul 1 green sub fact mul 1 blue sub fact mul 0 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{setlinewidth} bind def /TR {translate} bind def /WHITE { 1.0 } bind def /m {moveto} bind def /r {rmoveto} bind def /l {lineto} bind def /sp {x 0 rmoveto} bind def /rl {rlineto} bind def /s {show} bind def /box { NP m l l l CP } bind def /pageboundary { NP m l l l CP } bind def /BS { % black stroke GS SLJ SLW BLACK SG ST GR } bind def /WS { % white stroke GS SLJ SLW WHITE SG ST GR } bind def /reencode_small_dict 12 dict def /ReencodeSmall { reencode_small_dict begin /new_codes_and_names E def /new_font_name E def /base_font_name E def /base_font_dict base_font_name FF def /newfont base_font_dict maxlength dict def base_font_dict { E dup /FID ne { dup /Encoding eq { E dup length array copy newfont 3 1 roll put } { E newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName new_font_name put new_codes_and_names aload pop new_codes_and_names length 2 idiv { newfont /Encoding get 3 1 roll put } repeat new_font_name newfont definefont pop end %reencode_small_dict } def /extended_Zapf [ 8#223 /a89 8#224 /a90 8#225 /a93 8#226 /a94 8#227 /a91 8#230 /a92 8#231 /a205 8#232 /a85 8#233 /a206 8#234 /a86 8#235 /a87 8#236 /a88 8#237 /a95 8#240 /a96 ] def /extended_Standard [ 29 /thorn 30 /yacute 31 /divide 128 /Acircumflex 129 /Adieresis 130 /Agrave 131 /Aring 132 /Atilde 133 /Ccedilla 134 /Eacute 135 /Ecircumflex 136 /Edieresis 137 /Egrave 138 /Iacute 139 /Icircumflex 140 /Idieresis 141 /Igrave 142 /Ntilde 143 /Oacute 144 /Ocircumflex 145 /Odieresis 146 /Ograve 147 /Otilde 148 /Scaron 149 /Uacute 150 /Ucircumflex 151 /Udieresis 152 /Ugrave 153 /Ydieresis 154 /Zcaron 155 /aacute 156 /acircumflex 157 /adieresis 158 /agrave 159 /aring 160 /atilde 161 /exclamdown 162 /cent 163 /sterling 164 /fraction 165 /yen 166 /florin 167 /section 168 /currency 169 /quotesingle 170 /quotedblleft 171 /guillemotleft 172 /guilsinglleft 173 /guilsinglright 174 /fi 175 /fl 176 /plusminus 177 /endash 178 /dagger 179 /daggerdbl 180 /periodcentered 181 /twosuperior 182 /paragraph 183 /bullet 184 /quotesinglebase 185 /quotedblbase 186 /quotedblright 187 /guillemotright 188 /ellipsis 189 /perthousand 190 /threesuperior 191 /questiondown 192 /mu 193 /grave 194 /acute 195 /circumflex 196 /tilde 197 /macron 198 /breve 199 /dotaccent 200 /dieresis 201 /onesuperior 202 /ring 203 /cedilla 204 /onequarter 205 /hungarumlaut 206 /ogonek 207 /caron 208 /emdash 209 /ccedilla 210 /copyright 211 /eacute 212 /ecircumflex 213 /edieresis 214 /egrave 215 /iacute 216 /icircumflex 217 /idieresis 218 /igrave 219 /logicalnot 220 /minus 221 /ntilde 222 /oacute 223 /ocircumflex 224 /odieresis 225 /AE 226 /onehalf 227 /ordfeminine 228 /ograve 229 /otilde 230 /registered 231 /scaron 232 /Lslash 233 /Oslash 234 /OE 235 /ordmasculine 236 /trademark 237 /uacute 238 /ucircumflex 239 /udieresis 240 /ugrave 241 /ae 242 /ydieresis 243 /zcaron 244 /Aacute 245 /dotlessi 246 /threequarters 247 /Eth 248 /lslash 249 /oslash 250 /oe 251 /germandbls 252 /multiply 253 /Yacute 254 /Thorn 255 /eth ] def /extended_Symbol [ ] def /extend_font { % stack: fontname newfontname E dup (ZapfDingbats) eq { cvn E cvn extended_Zapf ReencodeSmall } { dup (Symbol) eq { cvn E cvn extended_Symbol ReencodeSmall } { cvn E cvn extended_Standard ReencodeSmall } ifelse } ifelse } bind def /getfont { /f E def f cvn where % { begin f cvx cvn exec SF end } { begin f cvn load exec SF end } % { f 0 f length 8 sub getinterval (LocalFont) extend_font %/LocalFont FF { f 0 f length 8 sub getinterval dup dup length 1 add string /localfont exch def localfont exch 0 exch putinterval localfont dup length 1 sub (X) putinterval localfont extend_font localfont FF /xsz f f length 4 sub 4 getinterval cvi def /ysz f f length 8 sub 4 getinterval cvi def [ xsz 0 0 ysz neg 0 0 ] MF dup f cvn E def SF } ifelse } bind def /ul { % space drop thickness GS currentpoint currentlinewidth currentpoint NP m 6 -3 roll SLW 0 E r 0 rl ST SLW m GR } bind def /ss { currentpoint pop E m } bind def /image_raster { % sw sh dw dh xs ys TR SC /sh E def /sw E def /imagebuf sw 7 add 8 idiv string def sw sh 1 [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } image } bind def /imagemask_raster { TR SC /sh E def /sw E def /imagebuf sw 7 add 8 idiv string def sw sh false [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } imagemask } bind def /image_color_raster { % sw sh sd dw dh xs ys systemdict /colorimage known not { /colorimage /colimg load def } if TR SC /sd E def /sh E def /sw E def /imagebuf sw 3 mul sd mul 7 add 8 idiv string def sw sh sd [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } false 3 colorimage } bind def /nx { /x E def } bind def 0. nx .9 dup scale gsave 2.83465 -2.83465 scale 0 -279.4 translate topmat currentmatrix pop % Group n 82.5 216.64 m 90.139 208.39 96.556 209.31 96.556 209.31 c 96.861 209 l 1 Fbw gsave 0 0 0 Bbw grestore n 84.028 215.11 m 81.125 218.01 l 1 Fbw n 81.125 218.01 m 82.304 215.66 l 83.482 216.84 l cl 0 Fbw n 84.028 215.11 m 82.893 216.25 l gsave 0 0 0 Bbw grestore % Irpoly n 90.444 60.5 m 121.61 60.5 l 121.61 67.222 l 90.444 67.222 l cl 1 Fbw % Irpoly n 49.5 21.694 m 55.306 21.694 l 55.306 52.861 l 49.5 52.861 l cl 1 Fbw % Irpoly n 90.444 114.28 m 128.03 114.28 l 128.03 121 l 90.444 121 l cl 1 Fbw % Irpoly n 90.444 115.19 m 120.69 115.19 l 120.69 119.47 l 90.444 119.47 l cl 1 Fbw % Irpoly n 91.361 168.67 m 121.31 168.67 l 121.31 173.86 l 91.361 173.86 l cl 1 Fbw % Irpoly n 94.111 222.44 m 119.78 222.44 l 119.78 227.03 l 94.111 227.03 l cl 1 Fbw % Irpoly n 48.583 73.944 m 57.139 73.944 l 57.139 109.39 l 48.583 109.39 l cl 1 Fbw % Irpoly n 45.528 129.56 m 56.528 129.56 l 56.528 167.44 l 45.528 167.44 l cl 1 Fbw % Irpoly n 49.194 184.86 m 56.833 184.86 l 56.833 217.25 l 49.194 217.25 l cl 1 Fbw % Irpoly n 95.028 102.36 m 117.03 102.36 l 117.03 106.94 l 95.028 106.94 l cl 1 Fbw % Irpoly n 95.028 74.556 m 119.78 74.556 l 119.78 77.917 l 95.028 77.917 l cl 1 Fbw % Irpoly n 94.111 126.81 m 118.86 126.81 l 118.86 130.78 l 94.111 130.78 l cl 1 Fbw % Irpoly n 94.722 140.86 m 120.39 140.86 l 120.39 146.67 l 94.722 146.67 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 87.694 204.417] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (expert 1) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 99.306 210.222] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (expert 2) s savemat setmatrix % Irpoly n 99.306 180.58 m 143.92 180.58 l 143.92 206.25 l 99.306 206.25 l cl 1 Fbw % Curves n 73.279 209.7 m 79.765 202.91 85.213 203.67 85.213 203.67 c 85.472 203.42 l 1 Fbw gsave 0 0 0 Bbw grestore % Curves n 74.576 208.44 m 72.111 210.83 l 1 Fbw n 72.111 210.83 m 73.327 208.49 l 74.486 209.69 l cl 0 Fbw n 74.576 208.44 m 73.907 209.09 l gsave 0 0 0 Bbw grestore % Group n 62.811 57.337 m 62.811 14.166 l 151.68 14.166 l 151.68 57.337 l 62.811 57.337 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.435 56.051 57.861] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1600) s savemat setmatrix n 63.694 51.939 m 62.811 51.939 l gsave 0 0.1 1 Bbw grestore n 151.68 51.939 m 150.8 51.939 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.435 56.051 52.465] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1400) s savemat setmatrix n 63.694 46.543 m 62.811 46.543 l gsave 0 0.1 1 Bbw grestore n 151.68 46.543 m 150.8 46.543 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.435 56.051 47.068] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1200) s savemat setmatrix n 63.694 41.147 m 62.811 41.147 l gsave 0 0.1 1 Bbw grestore n 151.68 41.147 m 150.8 41.147 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.435 56.051 41.673] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1000) s savemat setmatrix n 63.694 35.751 m 62.811 35.751 l gsave 0 0.1 1 Bbw grestore n 151.68 35.751 m 150.8 35.751 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.435 57.361 36.277] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-800) s savemat setmatrix n 63.694 30.354 m 62.811 30.354 l gsave 0 0.1 1 Bbw grestore n 151.68 30.354 m 150.8 30.354 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.435 57.361 30.88] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-600) s savemat setmatrix n 63.694 24.959 m 62.811 24.959 l gsave 0 0.1 1 Bbw grestore n 151.68 24.959 m 150.8 24.959 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.435 57.361 25.485] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-400) s savemat setmatrix n 63.694 19.562 m 62.811 19.562 l gsave 0 0.1 1 Bbw grestore n 151.68 19.562 m 150.8 19.562 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.435 57.361 20.088] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-200) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 60.847 14.692] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 62.157 59.261] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 77.624 56.882 m 77.624 57.337 l gsave 0 0.1 1 Bbw grestore n 77.624 14.166 m 77.624 14.621 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.435 76.314 59.261] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 92.437 56.882 m 92.437 57.337 l gsave 0 0.1 1 Bbw grestore n 92.437 14.166 m 92.437 14.621 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.435 91.127 59.261] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.25 56.882 m 107.25 57.337 l gsave 0 0.1 1 Bbw grestore n 107.25 14.166 m 107.25 14.621 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.435 105.939 59.261] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.06 56.882 m 122.06 57.337 l gsave 0 0.1 1 Bbw grestore n 122.06 14.166 m 122.06 14.621 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.435 120.751 59.261] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 136.87 56.882 m 136.87 57.337 l gsave 0 0.1 1 Bbw grestore n 136.87 14.166 m 136.87 14.621 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.435 135.564 59.261] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 150.375 59.261] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 63.861 14.464] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 65.342 56.36] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 66.824 44.8] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 68.304 36.482] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 69.786 33.657] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 71.266 32.763] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 72.748 32.041] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 74.228 31.419] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 75.711 30.862] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 77.191 30.353] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 78.673 29.867] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 80.154 29.364] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 81.636 28.782] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 83.118 28.007] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 84.598 26.791] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 86.08 24.742] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 87.56 22.043] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 89.042 20.683] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 90.523 20.543] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 92.004 20.51] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 93.485 20.495] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 94.967 20.484] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 96.447 20.476] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 97.929 20.468] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 99.41 20.46] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 100.891 20.452] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 102.372 20.446] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 103.854 20.44] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 105.335 20.434] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 106.817 20.429] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 108.297 20.424] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 109.779 20.418] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 111.259 20.414] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 112.741 20.41] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 114.222 20.406] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 115.704 20.401] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 117.184 20.397] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 118.666 20.395] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 120.146 20.391] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 121.628 20.387] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 123.109 20.384] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 124.59 20.38] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 126.071 20.378] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 127.553 20.376] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 129.034 20.373] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 130.516 20.37] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 131.996 20.367] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 133.478 20.365] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 134.959 20.364] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 136.441 20.361] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 137.921 20.359] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.435 98.095 62.878] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.434 0.65 0 54.422 41.993] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the log-likelihood) s savemat setmatrix % Irpoly n 51.639 20.778 m 55.306 20.778 l 55.306 52.556 l 51.639 52.556 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 52.814 47.289] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (log likelihood) s savemat setmatrix % Irpoly n 89.528 60.194 m 120.39 60.194 l 120.39 65.694 l 89.528 65.694 l cl 1 Fbw % Group n 62.64 110.65 m 62.64 68.529 l 151.38 68.529 l 151.38 110.65 l 62.64 110.65 l gsave 0 0.1 1 Bbw grestore n 63.521 109.03 m 62.64 109.03 l gsave 0 0.1 1 Bbw grestore n 151.38 109.03 m 150.5 109.03 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.424 59.811 109.54] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1) s savemat setmatrix n 63.521 100.93 m 62.64 100.93 l gsave 0 0.1 1 Bbw grestore n 151.38 100.93 m 150.5 100.93 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.424 60.68 101.439] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 63.521 92.828 m 62.64 92.828 l gsave 0 0.1 1 Bbw grestore n 151.38 92.828 m 150.5 92.828 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.424 60.68 93.341] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n 63.521 84.729 m 62.64 84.729 l gsave 0 0.1 1 Bbw grestore n 151.38 84.729 m 150.5 84.729 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.424 60.68 85.24] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2) s savemat setmatrix n 63.521 76.628 m 62.64 76.628 l gsave 0 0.1 1 Bbw grestore n 151.38 76.628 m 150.5 76.628 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.424 60.68 77.141] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (3) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.424 60.68 69.042] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (4) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.424 61.987 112.526] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 77.429 110.2 m 77.429 110.65 l gsave 0 0.1 1 Bbw grestore n 77.429 68.529 m 77.429 68.973 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.424 76.123 112.526] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 92.22 110.2 m 92.22 110.65 l gsave 0 0.1 1 Bbw grestore n 92.22 68.529 m 92.22 68.973 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.424 90.913 112.526] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.01 110.2 m 107.01 110.65 l gsave 0 0.1 1 Bbw grestore n 107.01 68.529 m 107.01 68.973 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.424 105.702 112.526] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 121.8 110.2 m 121.8 110.65 l gsave 0 0.1 1 Bbw grestore n 121.8 68.529 m 121.8 68.973 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.424 120.492 112.526] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 136.59 110.2 m 136.59 110.65 l gsave 0 0.1 1 Bbw grestore n 136.59 68.529 m 136.59 68.973 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.424 135.28 112.526] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.424 150.07 112.526] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n 138.07 108.85 m 136.59 108.85 l 135.11 108.85 l 133.63 108.85 l 132.15 108.85 l 130.67 108.85 l 129.19 108.85 l 127.71 108.85 l 126.23 108.85 l 124.76 108.85 l 123.28 108.85 l 121.8 108.85 l 120.32 108.85 l 118.84 108.85 l 117.36 108.85 l 115.88 108.85 l 114.4 108.85 l 112.92 108.85 l 111.44 108.85 l 109.97 108.84 l 108.49 108.84 l 107.01 108.84 l 105.53 108.84 l 104.05 108.84 l 102.57 108.84 l 101.09 108.84 l 99.614 108.84 l 98.136 108.84 l 96.655 108.84 l 95.178 108.85 l 93.698 108.85 l 92.22 108.84 l 90.741 108.79 l 89.262 108.48 l 87.782 107.47 l 86.304 106.11 l 84.824 105.14 l 83.346 104.55 l 81.866 104.16 l 80.387 103.86 l 78.909 103.61 l 77.429 103.39 l 75.951 103.19 l 74.472 102.98 l 72.993 102.77 l 71.514 102.53 l 70.036 102.26 l 68.556 101.94 l 67.077 101.57 l 65.597 100.58 l 64.119 98.955 l gsave 0 0.1 1 Bbw grestore n 138.07 72.364 m 136.59 72.365 l 135.11 72.366 l 133.63 72.368 l 132.15 72.368 l 130.67 72.37 l 129.19 72.372 l 127.71 72.373 l 126.23 72.374 l 124.76 72.376 l 123.28 72.377 l 121.8 72.379 l 120.32 72.381 l 118.84 72.382 l 117.36 72.385 l 115.88 72.387 l 114.4 72.388 l 112.92 72.391 l 111.44 72.392 l 109.97 72.395 l 108.49 72.396 l 107.01 72.399 l 105.53 72.401 l 104.05 72.403 l 102.57 72.405 l 101.09 72.406 l 99.614 72.407 l 98.136 72.406 l 96.655 72.402 l 95.178 72.393 l 93.698 72.381 l 92.22 72.392 l 90.741 72.57 l 89.262 73.551 l 87.782 76.73 l 86.304 81.001 l 84.824 84.023 l 83.346 85.879 l 81.866 87.104 l 80.387 88.016 l 78.909 88.769 l 77.429 89.438 l 75.951 90.064 l 74.472 90.68 l 72.993 91.319 l 71.514 92.019 l 70.036 92.805 l 68.556 93.677 l 67.077 94.622 l 65.597 96.756 l 64.119 95.071 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.424 97.87 116.053] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.423 0.649 0 54.263 102.375] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the parameter values of expert-net-1) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.424 99.614 105.446] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1st parameter) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.424 99.614 76.287] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Irpoly n 93.806 73.944 m 120.08 73.944 l 120.08 77.611 l 93.806 77.611 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 96.25 77.306] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Irpoly n 93.806 102.36 m 122.53 102.36 l 122.53 106.64 l 93.806 106.64 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 96.556 106.639] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (1st parameter) s savemat setmatrix % Irpoly n 49.5 74.25 m 56.833 74.25 l 56.833 105.11 l 49.5 105.11 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 52.624 109.738] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (parameters \(expert 1\)) s savemat setmatrix % Group n 62.946 164.96 m 62.946 122.32 l 151.68 122.32 l 151.68 164.96 l 62.946 164.96 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 60.985 165.482] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 63.826 160.7 m 62.946 160.7 l gsave 0 0.1 1 Bbw grestore n 151.68 160.7 m 150.8 160.7 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 59.024 161.219] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.1) s savemat setmatrix n 63.826 156.43 m 62.946 156.43 l gsave 0 0.1 1 Bbw grestore n 151.68 156.43 m 150.8 156.43 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 59.024 156.953] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.2) s savemat setmatrix n 63.826 152.17 m 62.946 152.17 l gsave 0 0.1 1 Bbw grestore n 151.68 152.17 m 150.8 152.17 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 59.024 152.69] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.3) s savemat setmatrix n 63.826 147.91 m 62.946 147.91 l gsave 0 0.1 1 Bbw grestore n 151.68 147.91 m 150.8 147.91 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 59.024 148.424] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.4) s savemat setmatrix n 63.826 143.64 m 62.946 143.64 l gsave 0 0.1 1 Bbw grestore n 151.68 143.64 m 150.8 143.64 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 59.024 144.161] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.5) s savemat setmatrix n 63.826 139.38 m 62.946 139.38 l gsave 0 0.1 1 Bbw grestore n 151.68 139.38 m 150.8 139.38 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 59.024 139.896] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.6) s savemat setmatrix n 63.826 135.11 m 62.946 135.11 l gsave 0 0.1 1 Bbw grestore n 151.68 135.11 m 150.8 135.11 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 59.024 135.631] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.7) s savemat setmatrix n 63.826 130.85 m 62.946 130.85 l gsave 0 0.1 1 Bbw grestore n 151.68 130.85 m 150.8 130.85 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 59.024 131.367] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.8) s savemat setmatrix n 63.826 126.58 m 62.946 126.58 l gsave 0 0.1 1 Bbw grestore n 151.68 126.58 m 150.8 126.58 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 59.024 127.102] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.9) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.429 60.985 122.838] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.429 62.292 166.866] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 77.734 164.51 m 77.734 164.96 l gsave 0 0.1 1 Bbw grestore n 77.734 122.32 m 77.734 122.77 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 76.428 166.866] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 92.525 164.51 m 92.525 164.96 l gsave 0 0.1 1 Bbw grestore n 92.525 122.32 m 92.525 122.77 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 91.218 166.866] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.32 164.51 m 107.32 164.96 l gsave 0 0.1 1 Bbw grestore n 107.31 122.32 m 107.31 122.77 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 106.007 166.866] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.1 164.51 m 122.1 164.96 l gsave 0 0.1 1 Bbw grestore n 122.1 122.32 m 122.1 122.77 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 120.797 166.866] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 136.89 164.51 m 136.89 164.96 l gsave 0 0.1 1 Bbw grestore n 136.89 122.32 m 136.89 122.77 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 135.586 166.866] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.429 150.376 166.866] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n 138.37 131.32 m 136.89 131.33 l 135.41 131.33 l 133.94 131.33 l 132.46 131.34 l 130.98 131.34 l 129.5 131.34 l 128.02 131.35 l 126.54 131.35 l 125.06 131.35 l 123.58 131.36 l 122.1 131.36 l 120.62 131.37 l 119.15 131.37 l 117.67 131.38 l 116.19 131.38 l 114.71 131.39 l 113.23 131.39 l 111.75 131.4 l 110.27 131.4 l 108.79 131.41 l 107.32 131.41 l 105.83 131.42 l 104.36 131.42 l 102.88 131.43 l 101.4 131.43 l 99.919 131.44 l 98.441 131.43 l 96.961 131.42 l 95.484 131.39 l 94.004 131.35 l 92.525 131.29 l 91.046 131.27 l 89.568 131.46 l 88.088 132.05 l 86.61 132.42 l 85.129 132.45 l 83.651 132.39 l 82.172 132.38 l 80.693 132.52 l 79.215 132.81 l 77.734 133.27 l 76.256 133.94 l 74.777 134.87 l 73.299 135.98 l 71.82 136.94 l 70.341 137.3 l 68.861 137.12 l 67.383 139.1 l 65.903 157.72 l 64.425 139.97 l gsave 0 0.1 1 Bbw grestore n 138.37 147.49 m 136.89 147.49 l 135.41 147.49 l 133.94 147.49 l 132.46 147.49 l 130.98 147.5 l 129.5 147.5 l 128.02 147.5 l 126.54 147.5 l 125.06 147.5 l 123.58 147.5 l 122.1 147.5 l 120.62 147.5 l 119.15 147.5 l 117.67 147.5 l 116.19 147.5 l 114.71 147.5 l 113.23 147.5 l 111.75 147.5 l 110.27 147.5 l 108.79 147.5 l 107.32 147.51 l 105.83 147.51 l 104.36 147.51 l 102.88 147.51 l 101.4 147.51 l 99.919 147.51 l 98.441 147.51 l 96.961 147.51 l 95.484 147.5 l 94.004 147.5 l 92.525 147.49 l 91.046 147.5 l 89.568 147.6 l 88.088 147.89 l 86.61 148.14 l 85.129 148.28 l 83.651 148.37 l 82.172 148.49 l 80.693 148.68 l 79.215 148.96 l 77.734 149.35 l 76.256 149.88 l 74.777 150.59 l 73.299 151.44 l 71.82 152.2 l 70.341 152.43 l 68.861 151.62 l 67.383 149.54 l 65.903 146.96 l 64.425 158.29 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.429 98.175 170.438] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.429 0.649 0 54.569 156.589] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the parameter values of expert-net-2) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.429 99.919 129.223] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1st parameter) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.429 99.919 146.281] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Irpoly n 47.972 128.03 m 57.139 128.03 l 57.139 159.5 l 47.972 159.5 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 52.846 163.127] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (parameters \(expert 2\)) s savemat setmatrix % Irpoly n 98.694 125.58 m 115.5 125.58 l 115.5 130.17 l 98.694 130.17 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 96.556 129.861] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (1st parameter) s savemat setmatrix % Irpoly n 97.778 141.17 m 119.47 141.17 l 119.47 146.67 l 97.778 146.67 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 95.944 146.361] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Irpoly n 92.889 113.36 m 120.39 113.36 l 120.39 117.94 l 92.889 117.94 l cl 1 Fbw % Irpoly n 93.194 168.06 m 118.56 168.06 l 118.56 172.33 l 93.194 172.33 l cl 1 Fbw % Group n 63.107 219.46 m 63.107 176.16 l 151.91 176.16 l 151.91 219.46 l 63.107 219.46 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.436 61.145 219.991] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 63.989 213.28 m 63.107 213.28 l gsave 0 0.1 1 Bbw grestore n 151.91 213.28 m 151.03 213.28 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.436 59.183 213.805] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.2) s savemat setmatrix n 63.989 207.09 m 63.107 207.09 l gsave 0 0.1 1 Bbw grestore n 151.91 207.09 m 151.03 207.09 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.436 59.183 207.619] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.4) s savemat setmatrix n 63.989 200.91 m 63.107 200.91 l gsave 0 0.1 1 Bbw grestore n 151.91 200.91 m 151.03 200.91 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.436 59.183 201.433] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.6) s savemat setmatrix n 63.989 194.72 m 63.107 194.72 l gsave 0 0.1 1 Bbw grestore n 151.91 194.72 m 151.03 194.72 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.436 59.183 195.248] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.8) s savemat setmatrix n 63.989 188.53 m 63.107 188.53 l gsave 0 0.1 1 Bbw grestore n 151.91 188.53 m 151.03 188.53 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.436 61.145 189.061] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n 63.989 182.35 m 63.107 182.35 l gsave 0 0.1 1 Bbw grestore n 151.91 182.35 m 151.03 182.35 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.436 59.183 182.876] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1.2) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.436 59.183 176.689] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1.4) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.436 62.454 221.395] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 77.907 219.01 m 77.907 219.46 l gsave 0 0.1 1 Bbw grestore n 77.907 176.16 m 77.907 176.62 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.436 76.599 221.395] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 92.708 219.01 m 92.708 219.46 l gsave 0 0.1 1 Bbw grestore n 92.708 176.16 m 92.708 176.62 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.436 91.4 221.395] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.51 219.01 m 107.51 219.46 l gsave 0 0.1 1 Bbw grestore n 107.51 176.16 m 107.51 176.62 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.436 106.2 221.395] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.31 219.01 m 122.31 219.46 l gsave 0 0.1 1 Bbw grestore n 122.31 176.16 m 122.31 176.62 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.436 120.999 221.395] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 137.11 219.01 m 137.11 219.46 l gsave 0 0.1 1 Bbw grestore n 137.11 176.16 m 137.11 176.62 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.436 135.799 221.395] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.436 150.599 221.395] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n 138.59 216.72 m 137.11 216.72 l 135.63 216.72 l 134.15 216.72 l 132.67 216.72 l 131.19 216.72 l 129.71 216.72 l 128.23 216.72 l 126.75 216.72 l 125.27 216.72 l 123.79 216.72 l 122.31 216.72 l 120.83 216.72 l 119.35 216.72 l 117.87 216.72 l 116.39 216.72 l 114.91 216.72 l 113.43 216.72 l 111.95 216.72 l 110.47 216.73 l 108.99 216.73 l 107.51 216.73 l 106.03 216.73 l 104.55 216.73 l 103.07 216.73 l 101.59 216.73 l 100.11 216.73 l 98.628 216.73 l 97.147 216.73 l 95.668 216.72 l 94.187 216.71 l 92.708 216.68 l 91.228 216.55 l 89.748 216.03 l 88.268 214.92 l 86.788 213.81 l 85.307 213.06 l 83.828 212.58 l 82.347 212.26 l 80.867 212 l 79.388 211.77 l 77.907 211.56 l 76.428 211.35 l 74.947 211.11 l 73.468 210.83 l 71.987 210.42 l 70.508 209.78 l 69.028 208.42 l 67.548 204 l 66.067 188.46 l 64.588 188.53 l gsave 0 0.1 1 Bbw grestore n 138.59 216.68 m 137.11 216.68 l 135.63 216.68 l 134.15 216.68 l 132.67 216.68 l 131.19 216.69 l 129.71 216.69 l 128.23 216.69 l 126.75 216.69 l 125.27 216.69 l 123.79 216.69 l 122.31 216.69 l 120.83 216.69 l 119.35 216.69 l 117.87 216.69 l 116.39 216.69 l 114.91 216.69 l 113.43 216.69 l 111.95 216.69 l 110.47 216.69 l 108.99 216.69 l 107.51 216.69 l 106.03 216.69 l 104.55 216.69 l 103.07 216.69 l 101.59 216.69 l 100.11 216.69 l 98.628 216.69 l 97.147 216.69 l 95.668 216.68 l 94.187 216.68 l 92.708 216.65 l 91.228 216.55 l 89.748 216.33 l 88.268 216.15 l 86.788 216.02 l 85.307 215.96 l 83.828 215.93 l 82.347 215.93 l 80.867 215.92 l 79.388 215.92 l 77.907 215.91 l 76.428 215.87 l 74.947 215.82 l 73.468 215.74 l 71.987 215.61 l 70.508 215.3 l 69.028 214.12 l 67.548 206.4 l 66.067 180.23 l 64.588 188.53 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.436 98.362 225.022] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.435 0.65 0 54.725 205.994] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the estimated variances) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.436 114.907 188.183] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (- with expert-net-1) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.436 114.907 194.369] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-- with expert-net-2) s savemat setmatrix % Irpoly n 93.194 221.83 m 119.78 221.83 l 119.78 227.33 l 93.194 227.33 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 101.139 228.556] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (epochs) s savemat setmatrix % Irpoly n 51.639 183.33 m 57.75 183.33 l 57.75 210.53 l 51.639 210.53 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 53.018 205.771] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (variances) s savemat setmatrix % Irpoly n 106.03 183.64 m 141.78 183.64 l 141.78 199.83 l 106.03 199.83 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 143.306 20.7778] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(a\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143.306 75.1667] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(b\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143.306 129.25] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(c\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143.306 182.722] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(d\)) s savemat setmatrix userdict /#copies 1 put showpage grestore end restore %%EndDocument @endspecial 307 2680 a(Figure)16 b(5:)j(The)d(p)q(erformance)f(of)g (the)g(linesearc)o(h)i(v)m(arian)o(t)e(with)g Fo(\025)1483 2687 y Fl(k)1517 2680 y Fu(=)e(1)p Fo(:)p Fu(1.)p eop %%Page: 44 45 44 44 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(44)423 2582 y @beginspecial 126 @llx 122 @lly 389 @urx 684 @ury 2630 @rwi @setspecial %%BeginDocument: ps/sim-linesearch2.ps save userdict /IslandDrawDict 300 dict dup begin put /ncpoint errordict /nocurrentpoint get def errordict begin /nocurrentpoint { dup /pathbbox load eq { pop 0 0 1 1 } { ncpoint } ifelse } bind def end /image_raster { %% sw sh dw dh xs ys translate scale /sh exch def /sw exch def /imagebuf sw 7 add 8 idiv string def sw sh 1 [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } image } bind def /m {moveto} bind def /l {lineto} bind def /c {curveto} bind def /n {newpath} bind def /cl {closepath} bind def /ar { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll translate rotate scale n 0 0 1 5 3 roll arc setmatrix } bind def /arn { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll translate rotate scale n 0 0 1 5 3 roll arcn setmatrix } bind def /el { %% sx sy rot tx ty matrix currentmatrix 6 1 roll translate rotate scale n 0 0 1 0 360 arc setmatrix cl } bind def /bp {setlinejoin setlinewidth setrgbcolor} bind def /bpbw {setlinejoin setlinewidth setgray} bind def /lw {setlinewidth} bind def /lj {setlinejoin} bind def /gr {setgray} bind def /BPSIDE 32 def %% pixels per pattern side /PATFREQ 3.0 def %% pattern pixels per mm /dp_mat [PATFREQ 0 0 PATFREQ 0 0] def /dp_pw BPSIDE def %% pattern pixel width /dp_ph BPSIDE def %% pattern pixel height /dp_w dp_pw PATFREQ div def %% pattern mm width /dp_h dp_ph PATFREQ div def %% pattern mm height /dp_bs 1 def %% pattern bits per pixel /savemat matrix def /topmat matrix def /patmat matrix def /patpath { /inv exch def topmat setmatrix pathbbox %% get lo - hi indecies /hy exch dp_h div floor cvi def /hx exch dp_w div floor cvi def /ly exch dp_h div floor cvi def /lx exch dp_w div floor cvi def lx 1 hx { dp_w mul ly 1 hy { dp_h mul exch dup 3 1 roll exch patmat currentmatrix pop translate dp_pw dp_ph inv dp_mat dp_proc imagemask patmat setmatrix } for pop } for } bind def % setpattern brush of patterns instead of gray /setpattern { /blue exch def /green exch def /red exch def /freq exch def /bwidth exch def /bpside exch def /bstring exch def /onbits 0 def /offbits 0 def freq 0 {/y exch def /x exch def /xindex x 1 add 2 div bpside mul cvi def /yindex y 1 add 2 div bpside mul cvi def bstring yindex bwidth mul xindex 8 idiv add get not 1 7 xindex 8 mod sub bitshift and 0 ne {/onbits onbits 1 add def 1} {/offbits offbits 1 add def 0} ifelse } setscreen {} settransfer systemdict /setcmykcolor known { /fact 1 onbits offbits onbits add div sub def 1 red sub fact mul 1 green sub fact mul 1 blue sub fact mul 0 setcmykcolor } { offbits offbits onbits add div setgray } ifelse } bind def /dmatrix matrix def /dpi 72 0 dmatrix defaultmatrix dtransform dup mul exch dup mul add sqrt def /B {gsave bp stroke grestore} bind def %% brush: gr lw lj /Bbw {gsave bpbw stroke grestore} bind def %% brush: gr lw lj /F {gsave setrgbcolor eofill grestore} bind def %% fill: gr /Fbw {gsave setgray eofill grestore} bind def %% fill: gr /PB {gsave setlinejoin setlinewidth setpattern stroke grestore} bind def /PF {gsave eoclip patpath grestore} bind def /BB { gsave setrgbcolor setlinejoin setlinewidth strokepath clip patpath grestore } bind def /BLACK { 0.0 } bind def /CP {closepath} bind def /FI {eofill} bind def /E {exch} bind def /FF {findfont} bind def /GR {grestore} bind def /GS {gsave} bind def /MF {makefont} bind def /NP {newpath} bind def /RO {rotate} bind def /ST {stroke} bind def /SC {scale} bind def /SF {setfont} bind def /SG {setgray} bind def /SLC {setlinecap} bind def /SLJ {setlinejoin} bind def /SLW {setlinewidth} bind def /TR {translate} bind def /WHITE { 1.0 } bind def /m {moveto} bind def /r {rmoveto} bind def /l {lineto} bind def /sp {x 0 rmoveto} bind def /rl {rlineto} bind def /s {show} bind def /box { NP m l l l CP } bind def /pageboundary { NP m l l l CP } bind def /BS { % black stroke GS SLJ SLW BLACK SG ST GR } bind def /WS { % white stroke GS SLJ SLW WHITE SG ST GR } bind def /reencode_small_dict 12 dict def /ReencodeSmall { reencode_small_dict begin /new_codes_and_names E def /new_font_name E def /base_font_name E def /base_font_dict base_font_name FF def /newfont base_font_dict maxlength dict def base_font_dict { E dup /FID ne { dup /Encoding eq { E dup length array copy newfont 3 1 roll put } { E newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName new_font_name put new_codes_and_names aload pop new_codes_and_names length 2 idiv { newfont /Encoding get 3 1 roll put } repeat new_font_name newfont definefont pop end %reencode_small_dict } def /extended_Zapf [ 8#223 /a89 8#224 /a90 8#225 /a93 8#226 /a94 8#227 /a91 8#230 /a92 8#231 /a205 8#232 /a85 8#233 /a206 8#234 /a86 8#235 /a87 8#236 /a88 8#237 /a95 8#240 /a96 ] def /extended_Standard [ 29 /thorn 30 /yacute 31 /divide 128 /Acircumflex 129 /Adieresis 130 /Agrave 131 /Aring 132 /Atilde 133 /Ccedilla 134 /Eacute 135 /Ecircumflex 136 /Edieresis 137 /Egrave 138 /Iacute 139 /Icircumflex 140 /Idieresis 141 /Igrave 142 /Ntilde 143 /Oacute 144 /Ocircumflex 145 /Odieresis 146 /Ograve 147 /Otilde 148 /Scaron 149 /Uacute 150 /Ucircumflex 151 /Udieresis 152 /Ugrave 153 /Ydieresis 154 /Zcaron 155 /aacute 156 /acircumflex 157 /adieresis 158 /agrave 159 /aring 160 /atilde 161 /exclamdown 162 /cent 163 /sterling 164 /fraction 165 /yen 166 /florin 167 /section 168 /currency 169 /quotesingle 170 /quotedblleft 171 /guillemotleft 172 /guilsinglleft 173 /guilsinglright 174 /fi 175 /fl 176 /plusminus 177 /endash 178 /dagger 179 /daggerdbl 180 /periodcentered 181 /twosuperior 182 /paragraph 183 /bullet 184 /quotesinglebase 185 /quotedblbase 186 /quotedblright 187 /guillemotright 188 /ellipsis 189 /perthousand 190 /threesuperior 191 /questiondown 192 /mu 193 /grave 194 /acute 195 /circumflex 196 /tilde 197 /macron 198 /breve 199 /dotaccent 200 /dieresis 201 /onesuperior 202 /ring 203 /cedilla 204 /onequarter 205 /hungarumlaut 206 /ogonek 207 /caron 208 /emdash 209 /ccedilla 210 /copyright 211 /eacute 212 /ecircumflex 213 /edieresis 214 /egrave 215 /iacute 216 /icircumflex 217 /idieresis 218 /igrave 219 /logicalnot 220 /minus 221 /ntilde 222 /oacute 223 /ocircumflex 224 /odieresis 225 /AE 226 /onehalf 227 /ordfeminine 228 /ograve 229 /otilde 230 /registered 231 /scaron 232 /Lslash 233 /Oslash 234 /OE 235 /ordmasculine 236 /trademark 237 /uacute 238 /ucircumflex 239 /udieresis 240 /ugrave 241 /ae 242 /ydieresis 243 /zcaron 244 /Aacute 245 /dotlessi 246 /threequarters 247 /Eth 248 /lslash 249 /oslash 250 /oe 251 /germandbls 252 /multiply 253 /Yacute 254 /Thorn 255 /eth ] def /extended_Symbol [ ] def /extend_font { % stack: fontname newfontname E dup (ZapfDingbats) eq { cvn E cvn extended_Zapf ReencodeSmall } { dup (Symbol) eq { cvn E cvn extended_Symbol ReencodeSmall } { cvn E cvn extended_Standard ReencodeSmall } ifelse } ifelse } bind def /getfont { /f E def f cvn where % { begin f cvx cvn exec SF end } { begin f cvn load exec SF end } % { f 0 f length 8 sub getinterval (LocalFont) extend_font %/LocalFont FF { f 0 f length 8 sub getinterval dup dup length 1 add string /localfont exch def localfont exch 0 exch putinterval localfont dup length 1 sub (X) putinterval localfont extend_font localfont FF /xsz f f length 4 sub 4 getinterval cvi def /ysz f f length 8 sub 4 getinterval cvi def [ xsz 0 0 ysz neg 0 0 ] MF dup f cvn E def SF } ifelse } bind def /ul { % space drop thickness GS currentpoint currentlinewidth currentpoint NP m 6 -3 roll SLW 0 E r 0 rl ST SLW m GR } bind def /ss { currentpoint pop E m } bind def /image_raster { % sw sh dw dh xs ys TR SC /sh E def /sw E def /imagebuf sw 7 add 8 idiv string def sw sh 1 [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } image } bind def /imagemask_raster { TR SC /sh E def /sw E def /imagebuf sw 7 add 8 idiv string def sw sh false [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } imagemask } bind def /image_color_raster { % sw sh sd dw dh xs ys systemdict /colorimage known not { /colorimage /colimg load def } if TR SC /sd E def /sh E def /sw E def /imagebuf sw 3 mul sd mul 7 add 8 idiv string def sw sh sd [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } false 3 colorimage } bind def /nx { /x E def } bind def 0. nx .9 dup scale gsave 2.83465 -2.83465 scale 0 -279.4 translate topmat currentmatrix pop % Irpoly n 99.306 180.58 m 143.92 180.58 l 143.92 206.25 l 99.306 206.25 l cl 1 Fbw % Irpoly n 90.444 60.5 m 121.61 60.5 l 121.61 67.222 l 90.444 67.222 l cl 1 Fbw % Irpoly n 49.5 21.694 m 55.306 21.694 l 55.306 52.861 l 49.5 52.861 l cl 1 Fbw % Irpoly n 90.444 114.28 m 128.03 114.28 l 128.03 121 l 90.444 121 l cl 1 Fbw % Irpoly n 90.444 115.19 m 120.69 115.19 l 120.69 119.47 l 90.444 119.47 l cl 1 Fbw % Irpoly n 91.361 168.67 m 121.31 168.67 l 121.31 173.86 l 91.361 173.86 l cl 1 Fbw % Irpoly n 94.111 222.44 m 119.78 222.44 l 119.78 227.03 l 94.111 227.03 l cl 1 Fbw % Irpoly n 48.583 73.944 m 57.139 73.944 l 57.139 109.39 l 48.583 109.39 l cl 1 Fbw % Irpoly n 42.778 128.33 m 53.778 128.33 l 53.778 166.22 l 42.778 166.22 l cl 1 Fbw % Irpoly n 49.194 184.86 m 56.833 184.86 l 56.833 217.25 l 49.194 217.25 l cl 1 Fbw % Irpoly n 95.028 102.36 m 117.03 102.36 l 117.03 106.94 l 95.028 106.94 l cl 1 Fbw % Irpoly n 95.028 74.556 m 119.78 74.556 l 119.78 77.917 l 95.028 77.917 l cl 1 Fbw % Irpoly n 94.111 126.81 m 118.86 126.81 l 118.86 130.78 l 94.111 130.78 l cl 1 Fbw % Irpoly n 94.722 140.86 m 120.39 140.86 l 120.39 146.67 l 94.722 146.67 l cl 1 Fbw % Group n 83.722 211.75 m 91.361 203.5 97.778 204.42 97.778 204.42 c 98.083 204.11 l 1 Fbw gsave 0 0 0 Bbw grestore n 85.25 210.22 m 82.347 213.12 l 1 Fbw n 82.347 213.12 m 83.526 210.77 l 84.704 211.95 l cl 0 Fbw n 85.25 210.22 m 84.115 211.36 l gsave 0 0 0 Bbw grestore n savemat currentmatrix pop [1 0 0 1 100.528 205.333] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (expert 2) s savemat setmatrix % Group n savemat currentmatrix pop [1 0 0 1 89.222 200.75] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (expert 1) s savemat setmatrix n 74.807 206.03 m 81.293 199.25 86.741 200 86.741 200 c 87 199.75 l 1 Fbw gsave 0 0 0 Bbw grestore n 76.104 204.78 m 73.639 207.17 l 1 Fbw n 73.639 207.17 m 74.855 204.83 l 76.014 206.03 l cl 0 Fbw n 76.104 204.78 m 75.435 205.43 l gsave 0 0 0 Bbw grestore % Irpoly n 51.639 20.778 m 55.306 20.778 l 55.306 52.556 l 51.639 52.556 l cl 1 Fbw % Irpoly n 89.528 60.194 m 120.39 60.194 l 120.39 65.694 l 89.528 65.694 l cl 1 Fbw % Group n 62.768 57.249 m 62.768 14.211 l 151.98 14.211 l 151.98 57.249 l 62.768 57.249 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.654 0 0 0.433 55.982 57.773] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1600) s savemat setmatrix n 63.654 51.869 m 62.768 51.869 l gsave 0 0.1 1 Bbw grestore n 151.98 51.869 m 151.1 51.869 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.654 0 0 0.433 55.982 52.393] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1400) s savemat setmatrix n 63.654 46.489 m 62.768 46.489 l gsave 0 0.1 1 Bbw grestore n 151.98 46.489 m 151.1 46.489 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.654 0 0 0.433 55.982 47.012] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1200) s savemat setmatrix n 63.654 41.11 m 62.768 41.11 l gsave 0 0.1 1 Bbw grestore n 151.98 41.11 m 151.1 41.11 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.654 0 0 0.433 55.982 41.634] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1000) s savemat setmatrix n 63.654 35.73 m 62.768 35.73 l gsave 0 0.1 1 Bbw grestore n 151.98 35.73 m 151.1 35.73 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.654 0 0 0.433 57.296 36.253] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-800) s savemat setmatrix n 63.654 30.349 m 62.768 30.349 l gsave 0 0.1 1 Bbw grestore n 151.98 30.349 m 151.1 30.349 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.654 0 0 0.433 57.296 30.873] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-600) s savemat setmatrix n 63.654 24.971 m 62.768 24.971 l gsave 0 0.1 1 Bbw grestore n 151.98 24.971 m 151.1 24.971 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.654 0 0 0.433 57.296 25.494] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-400) s savemat setmatrix n 63.654 19.59 m 62.768 19.59 l gsave 0 0.1 1 Bbw grestore n 151.98 19.59 m 151.1 19.59 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.654 0 0 0.433 57.296 20.114] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-200) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 60.797 14.734] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 62.112 59.169] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 77.636 56.796 m 77.636 57.249 l gsave 0 0.1 1 Bbw grestore n 77.636 14.211 m 77.636 14.664 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.654 0 0 0.433 76.323 59.169] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 92.507 56.796 m 92.507 57.249 l gsave 0 0.1 1 Bbw grestore n 92.507 14.211 m 92.507 14.664 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.654 0 0 0.433 91.192 59.169] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.38 56.796 m 107.38 57.249 l gsave 0 0.1 1 Bbw grestore n 107.38 14.211 m 107.38 14.664 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.654 0 0 0.433 106.06 59.169] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.24 56.796 m 122.24 57.249 l gsave 0 0.1 1 Bbw grestore n 122.24 14.211 m 122.24 14.664 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.654 0 0 0.433 120.93 59.169] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 137.11 56.796 m 137.11 57.249 l gsave 0 0.1 1 Bbw grestore n 137.11 14.211 m 137.11 14.664 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.654 0 0 0.433 135.798 59.169] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 150.667 59.169] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 63.822 14.507] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 65.308 56.276] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 66.795 45.296] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 68.281 40.661] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 69.769 37.831] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 71.255 35.947] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 72.743 34.696] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 74.229 33.808] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 75.717 33.126] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 77.203 32.569] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 78.69 32.09] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 80.177 31.654] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 81.664 31.242] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 83.152 30.834] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 84.638 30.412] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 86.125 29.952] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 87.611 29.421] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 89.099 28.758] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 90.585 27.875] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 92.073 26.653] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 93.559 25.018] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 95.046 23.22] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 96.533 21.808] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 98.02 21.01] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 99.507 20.663] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 100.994 20.538] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 102.48 20.498] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 103.967 20.482] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 105.453 20.473] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 106.941 20.467] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 108.427 20.46] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 109.915 20.455] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 111.401 20.45] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 112.889 20.445] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 114.375 20.44] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 115.862 20.436] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 117.349 20.432] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 118.836 20.428] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 120.323 20.424] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 121.81 20.42] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 123.296 20.417] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 124.783 20.414] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 126.269 20.411] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 127.757 20.407] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 129.243 20.404] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 130.731 20.401] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 132.217 20.399] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 133.705 20.397] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 135.191 20.394] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 136.679 20.391] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 138.165 20.388] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.654 0 0 0.433 98.186 62.774] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.433 0.653 0 54.346 41.953] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the log-likelihood) s savemat setmatrix % Irpoly n 91.361 59.889 m 119.78 59.889 l 119.78 64.472 l 91.361 64.472 l cl 1 Fbw % Irpoly n 45.222 27.5 m 55.306 27.5 l 55.306 44 l 45.222 44 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 52.814 47.289] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (log likelihood) s savemat setmatrix % Group n 62.988 111.17 m 62.988 68.392 l 152.06 68.392 l 152.06 111.17 l 62.988 111.17 l gsave 0 0.1 1 Bbw grestore n 63.872 109.52 m 62.988 109.52 l gsave 0 0.1 1 Bbw grestore n 152.06 109.52 m 151.17 109.52 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.431 60.149 110.042] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1) s savemat setmatrix n 63.872 101.3 m 62.988 101.3 l gsave 0 0.1 1 Bbw grestore n 152.06 101.3 m 151.17 101.3 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.431 61.02 101.817] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 63.872 93.07 m 62.988 93.07 l gsave 0 0.1 1 Bbw grestore n 152.06 93.07 m 151.17 93.07 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.431 61.02 93.591] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n 63.872 84.845 m 62.988 84.845 l gsave 0 0.1 1 Bbw grestore n 152.06 84.845 m 151.17 84.845 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.431 61.02 85.364] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2) s savemat setmatrix n 63.872 76.617 m 62.988 76.617 l gsave 0 0.1 1 Bbw grestore n 152.06 76.617 m 151.17 76.617 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.431 61.02 77.138] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (3) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.431 61.02 68.912] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (4) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.431 62.332 113.075] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 77.832 110.72 m 77.832 111.17 l gsave 0 0.1 1 Bbw grestore n 77.832 68.392 m 77.832 68.843 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.431 76.521 113.075] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 92.678 110.72 m 92.678 111.17 l gsave 0 0.1 1 Bbw grestore n 92.678 68.392 m 92.678 68.843 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.431 91.366 113.075] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.52 110.72 m 107.52 111.17 l gsave 0 0.1 1 Bbw grestore n 107.52 68.392 m 107.52 68.843 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.431 106.21 113.075] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.37 110.72 m 122.37 111.17 l gsave 0 0.1 1 Bbw grestore n 122.37 68.392 m 122.37 68.843 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.431 121.055 113.075] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 137.21 110.72 m 137.21 111.17 l gsave 0 0.1 1 Bbw grestore n 137.21 68.392 m 137.21 68.843 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.431 135.899 113.075] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.431 150.743 113.075] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n 138.69 109.34 m 137.21 109.34 l 135.73 109.34 l 134.24 109.34 l 132.76 109.34 l 131.27 109.34 l 129.79 109.34 l 128.3 109.34 l 126.82 109.34 l 125.33 109.34 l 123.85 109.34 l 122.37 109.34 l 120.88 109.34 l 119.4 109.34 l 117.91 109.34 l 116.43 109.34 l 114.94 109.34 l 113.46 109.34 l 111.98 109.34 l 110.49 109.34 l 109.01 109.33 l 107.52 109.33 l 106.04 109.33 l 104.55 109.32 l 103.07 109.31 l 101.58 109.28 l 100.1 109.22 l 98.615 109.09 l 97.13 108.84 l 95.647 108.35 l 94.162 107.54 l 92.678 106.56 l 91.193 105.75 l 89.709 105.17 l 88.224 104.76 l 86.74 104.45 l 85.255 104.21 l 83.771 104 l 82.286 103.8 l 80.801 103.62 l 79.317 103.45 l 77.832 103.27 l 76.348 103.09 l 74.863 102.9 l 73.38 102.68 l 71.895 102.45 l 70.411 102.18 l 68.926 101.82 l 67.442 101.28 l 65.957 100.33 l 64.473 99.293 l gsave 0 0.1 1 Bbw grestore n 138.69 72.29 m 137.21 72.292 l 135.73 72.293 l 134.24 72.295 l 132.76 72.296 l 131.27 72.298 l 129.79 72.299 l 128.3 72.301 l 126.82 72.303 l 125.33 72.304 l 123.85 72.306 l 122.37 72.308 l 120.88 72.311 l 119.4 72.312 l 117.91 72.314 l 116.43 72.317 l 114.94 72.318 l 113.46 72.321 l 111.98 72.324 l 110.49 72.326 l 109.01 72.331 l 107.52 72.336 l 106.04 72.348 l 104.55 72.37 l 103.07 72.411 l 101.58 72.502 l 100.1 72.69 l 98.615 73.083 l 97.13 73.882 l 95.647 75.426 l 94.162 77.981 l 92.678 81.042 l 91.193 83.603 l 89.709 85.408 l 88.224 86.675 l 86.74 87.621 l 85.255 88.379 l 83.771 89.03 l 82.286 89.614 l 80.801 90.159 l 79.317 90.683 l 77.832 91.201 l 76.348 91.727 l 74.863 92.273 l 73.38 92.836 l 71.895 93.41 l 70.411 93.988 l 68.926 94.597 l 67.442 95.335 l 65.957 96.418 l 64.473 95.349 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.431 98.349 116.659] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.431 0.652 0 54.58 102.767] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the parameter values of expert-net-1) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.431 100.099 105.885] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1st parameter) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.431 100.099 76.271] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Irpoly n 99 74.25 m 116.11 74.25 l 116.11 78.833 l 99 78.833 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 103.889 77.306] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Irpoly n 96.25 100.83 m 115.81 100.83 l 115.81 107.56 l 96.25 107.56 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 103.889 106.333] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (1st parameter) s savemat setmatrix % Irpoly n 42.778 73.944 m 58.056 73.944 l 58.056 105.72 l 42.778 105.72 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 52.624 109.738] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (parameters \(expert 1\)) s savemat setmatrix % Group n 63.315 165.01 m 63.315 122.32 l 151.99 122.32 l 151.99 165.01 l 63.315 165.01 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 61.356 165.526] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 64.196 160.74 m 63.315 160.74 l gsave 0 0.1 1 Bbw grestore n 151.99 160.74 m 151.11 160.74 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 59.396 161.257] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.1) s savemat setmatrix n 64.196 156.47 m 63.315 156.47 l gsave 0 0.1 1 Bbw grestore n 151.99 156.47 m 151.11 156.47 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 59.396 156.988] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.2) s savemat setmatrix n 64.196 152.2 m 63.315 152.2 l gsave 0 0.1 1 Bbw grestore n 151.99 152.2 m 151.11 152.2 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 59.396 152.72] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.3) s savemat setmatrix n 64.196 147.93 m 63.315 147.93 l gsave 0 0.1 1 Bbw grestore n 151.99 147.93 m 151.11 147.93 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 59.396 148.451] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.4) s savemat setmatrix n 64.196 143.66 m 63.315 143.66 l gsave 0 0.1 1 Bbw grestore n 151.99 143.66 m 151.11 143.66 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 59.396 144.183] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.5) s savemat setmatrix n 64.196 139.4 m 63.315 139.4 l gsave 0 0.1 1 Bbw grestore n 151.99 139.4 m 151.11 139.4 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 59.396 139.914] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.6) s savemat setmatrix n 64.196 135.13 m 63.315 135.13 l gsave 0 0.1 1 Bbw grestore n 151.99 135.13 m 151.11 135.13 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 59.396 135.645] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.7) s savemat setmatrix n 64.196 130.86 m 63.315 130.86 l gsave 0 0.1 1 Bbw grestore n 151.99 130.86 m 151.11 130.86 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 59.396 131.377] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.8) s savemat setmatrix n 64.196 126.59 m 63.315 126.59 l gsave 0 0.1 1 Bbw grestore n 151.99 126.59 m 151.11 126.59 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 59.396 127.108] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.9) s savemat setmatrix n savemat currentmatrix pop [0.649 0 0 0.43 61.356 122.84] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n savemat currentmatrix pop [0.649 0 0 0.43 62.663 166.91] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 78.094 164.56 m 78.094 165.01 l gsave 0 0.1 1 Bbw grestore n 78.094 122.32 m 78.094 122.77 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 76.788 166.91] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 92.876 164.56 m 92.876 165.01 l gsave 0 0.1 1 Bbw grestore n 92.876 122.32 m 92.876 122.77 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 91.569 166.91] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.66 164.56 m 107.66 165.01 l gsave 0 0.1 1 Bbw grestore n 107.65 122.32 m 107.65 122.77 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 106.348 166.91] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.43 164.56 m 122.43 165.01 l gsave 0 0.1 1 Bbw grestore n 122.43 122.32 m 122.43 122.77 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 121.127 166.91] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 137.21 164.56 m 137.21 165.01 l gsave 0 0.1 1 Bbw grestore n 137.21 122.32 m 137.21 122.77 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 135.908 166.91] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.649 0 0 0.43 150.687 166.91] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n 138.69 131.34 m 137.21 131.35 l 135.73 131.35 l 134.26 131.35 l 132.78 131.36 l 131.3 131.36 l 129.82 131.36 l 128.35 131.37 l 126.87 131.37 l 125.39 131.38 l 123.91 131.38 l 122.43 131.39 l 120.95 131.39 l 119.48 131.39 l 118 131.4 l 116.52 131.41 l 115.04 131.41 l 113.57 131.42 l 112.09 131.42 l 110.61 131.42 l 109.13 131.43 l 107.66 131.43 l 106.18 131.43 l 104.7 131.43 l 103.22 131.43 l 101.74 131.42 l 100.26 131.41 l 98.787 131.42 l 97.308 131.5 l 95.831 131.68 l 94.353 131.97 l 92.876 132.18 l 91.396 132.25 l 89.919 132.25 l 88.441 132.24 l 86.963 132.27 l 85.485 132.38 l 84.008 132.58 l 82.529 132.88 l 81.05 133.29 l 79.573 133.82 l 78.094 134.45 l 76.617 135.14 l 75.139 135.81 l 73.662 136.4 l 72.183 136.93 l 70.706 137.68 l 69.227 139.3 l 67.749 143.03 l 66.271 151.09 l 64.794 139.98 l gsave 0 0.1 1 Bbw grestore n 138.69 147.52 m 137.21 147.52 l 135.73 147.52 l 134.26 147.52 l 132.78 147.52 l 131.3 147.52 l 129.82 147.52 l 128.35 147.52 l 126.87 147.52 l 125.39 147.52 l 123.91 147.53 l 122.43 147.53 l 120.95 147.53 l 119.48 147.53 l 118 147.53 l 116.52 147.53 l 115.04 147.53 l 113.57 147.53 l 112.09 147.53 l 110.61 147.53 l 109.13 147.53 l 107.66 147.53 l 106.18 147.53 l 104.7 147.54 l 103.22 147.54 l 101.74 147.54 l 100.26 147.55 l 98.787 147.58 l 97.308 147.63 l 95.831 147.74 l 94.353 147.9 l 92.876 148.06 l 91.396 148.17 l 89.919 148.26 l 88.441 148.35 l 86.963 148.46 l 85.485 148.61 l 84.008 148.82 l 82.529 149.08 l 81.05 149.42 l 79.573 149.82 l 78.094 150.29 l 76.617 150.78 l 75.139 151.22 l 73.662 151.5 l 72.183 151.56 l 70.706 151.38 l 69.227 151.09 l 67.749 150.95 l 66.271 151.24 l 64.794 158.33 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.649 0 0 0.43 98.521 170.486] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.43 0.649 0 54.945 156.623] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the parameter values of expert-net-2) s savemat setmatrix n savemat currentmatrix pop [0.649 0 0 0.43 100.264 129.231] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1st parameter) s savemat setmatrix n savemat currentmatrix pop [0.649 0 0 0.43 100.264 146.305] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Irpoly n 98.694 126.19 m 117.94 126.19 l 117.94 130.47 l 98.694 130.47 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 96.556 129.861] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (1st parameter) s savemat setmatrix % Irpoly n 94.417 114.58 m 121.31 114.58 l 121.31 119.17 l 94.417 119.17 l cl 1 Fbw % Irpoly n 98.083 141.47 m 118.56 141.47 l 118.56 146.67 l 98.083 146.67 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 95.944 146.361] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Irpoly n 94.417 167.44 m 118.86 167.44 l 118.86 172.33 l 94.417 172.33 l cl 1 Fbw % Irpoly n 45.222 128.94 m 58.056 128.94 l 58.056 158.58 l 45.222 158.58 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 52.846 163.127] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (parameters \(expert 2\)) s savemat setmatrix % Group n 63.901 219.56 m 63.901 176.17 l 151.7 176.17 l 151.7 219.56 l 63.901 219.56 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.437 61.961 220.084] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 64.773 213.36 m 63.901 213.36 l gsave 0 0.1 1 Bbw grestore n 151.7 213.36 m 150.83 213.36 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.437 60.021 213.884] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.2) s savemat setmatrix n 64.773 207.16 m 63.901 207.16 l gsave 0 0.1 1 Bbw grestore n 151.7 207.16 m 150.83 207.16 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.437 60.021 207.686] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.4) s savemat setmatrix n 64.773 200.96 m 63.901 200.96 l gsave 0 0.1 1 Bbw grestore n 151.7 200.96 m 150.83 200.96 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.437 60.021 201.487] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.6) s savemat setmatrix n 64.773 194.76 m 63.901 194.76 l gsave 0 0.1 1 Bbw grestore n 151.7 194.76 m 150.83 194.76 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.437 60.021 195.289] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.8) s savemat setmatrix n 64.773 188.56 m 63.901 188.56 l gsave 0 0.1 1 Bbw grestore n 151.7 188.56 m 150.83 188.56 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.437 61.961 189.09] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n 64.773 182.36 m 63.901 182.36 l gsave 0 0.1 1 Bbw grestore n 151.7 182.36 m 150.83 182.36 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.437 60.021 182.891] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1.2) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.437 60.021 176.692] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1.4) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.437 63.255 221.49] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 78.534 219.1 m 78.534 219.56 l gsave 0 0.1 1 Bbw grestore n 78.534 176.17 m 78.534 176.62 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.437 77.241 221.49] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 93.168 219.1 m 93.168 219.56 l gsave 0 0.1 1 Bbw grestore n 93.168 176.17 m 93.168 176.62 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.437 91.875 221.49] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.8 219.1 m 107.8 219.56 l gsave 0 0.1 1 Bbw grestore n 107.8 176.17 m 107.8 176.62 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.437 106.508 221.49] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.43 219.1 m 122.43 219.56 l gsave 0 0.1 1 Bbw grestore n 122.43 176.17 m 122.43 176.62 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.437 121.141 221.49] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 137.07 219.1 m 137.07 219.56 l gsave 0 0.1 1 Bbw grestore n 137.07 176.17 m 137.07 176.62 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.437 135.774 221.49] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.437 150.407 221.49] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n 138.53 216.81 m 137.07 216.81 l 135.6 216.81 l 134.14 216.81 l 132.68 216.81 l 131.21 216.81 l 129.75 216.81 l 128.29 216.81 l 126.82 216.81 l 125.36 216.81 l 123.9 216.81 l 122.43 216.81 l 120.97 216.81 l 119.51 216.81 l 118.04 216.81 l 116.58 216.81 l 115.12 216.81 l 113.65 216.81 l 112.19 216.81 l 110.73 216.81 l 109.26 216.81 l 107.8 216.8 l 106.34 216.8 l 104.88 216.78 l 103.41 216.75 l 101.95 216.69 l 100.48 216.58 l 99.021 216.37 l 97.558 215.98 l 96.095 215.36 l 94.631 214.54 l 93.168 213.76 l 91.705 213.16 l 90.242 212.74 l 88.779 212.42 l 87.315 212.17 l 85.851 211.95 l 84.388 211.75 l 82.925 211.56 l 81.46 211.35 l 79.998 211.13 l 78.534 210.86 l 77.072 210.5 l 75.608 210 l 74.145 209.24 l 72.681 208.03 l 71.219 205.99 l 69.755 202.48 l 68.291 196.62 l 66.827 188.52 l 65.365 188.56 l gsave 0 0.1 1 Bbw grestore n 138.53 216.78 m 137.07 216.78 l 135.6 216.78 l 134.14 216.78 l 132.68 216.78 l 131.21 216.78 l 129.75 216.78 l 128.29 216.78 l 126.82 216.78 l 125.36 216.78 l 123.9 216.78 l 122.43 216.78 l 120.97 216.79 l 119.51 216.79 l 118.04 216.79 l 116.58 216.79 l 115.12 216.79 l 113.65 216.79 l 112.19 216.79 l 110.73 216.78 l 109.26 216.78 l 107.8 216.78 l 106.34 216.77 l 104.88 216.76 l 103.41 216.73 l 101.95 216.67 l 100.48 216.56 l 99.021 216.37 l 97.558 216.06 l 96.095 215.66 l 94.631 215.28 l 93.168 214.99 l 91.705 214.78 l 90.242 214.64 l 88.779 214.52 l 87.315 214.43 l 85.851 214.36 l 84.388 214.28 l 82.925 214.19 l 81.46 214.09 l 79.998 213.96 l 78.534 213.79 l 77.072 213.54 l 75.608 213.16 l 74.145 212.54 l 72.681 211.51 l 71.219 209.69 l 69.755 206.59 l 68.291 201.84 l 66.827 183.36 l 65.365 188.56 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.437 98.758 225.126] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.437 0.642 0 55.613 206.058] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the estimated variances) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.437 115.118 188.21] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (- with expert-net-1) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.437 115.118 194.409] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-- with expert-net-2) s savemat setmatrix % Irpoly n 105.42 182.42 m 145.75 182.42 l 145.75 200.14 l 105.42 200.14 l cl 1 Fbw % Irpoly n 51.639 182.72 m 56.833 182.72 l 56.833 211.44 l 51.639 211.44 l cl 1 Fbw % Irpoly n 90.139 222.44 m 121.31 222.44 l 121.31 226.42 l 90.139 226.42 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 53.018 205.771] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (variances) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 101.139 228.556] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (epochs) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143.611 20.7778] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(a\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143.611 74.8611] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(b\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143.611 128.944] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(c\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143.611 183.028] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(d\)) s savemat setmatrix userdict /#copies 1 put showpage grestore end restore %%EndDocument @endspecial 307 2680 a(Figure)16 b(6:)j(The)d(p)q(erformance)f(of)g (the)g(linesearc)o(h)i(v)m(arian)o(t)e(with)g Fo(\025)1483 2687 y Fl(k)1517 2680 y Fu(=)e(0)p Fo(:)p Fu(5.)p eop %%Page: 45 46 45 45 bop 224 137 a Fs(Con)o(v)o(ergence)15 b(results)h(for)e(mixtures) i(of)f(exp)q(erts)586 b Fu(45)423 2582 y @beginspecial 126 @llx 122 @lly 389 @urx 684 @ury 2630 @rwi @setspecial %%BeginDocument: ps/sim-linearization.ps save userdict /IslandDrawDict 300 dict dup begin put /ncpoint errordict /nocurrentpoint get def errordict begin /nocurrentpoint { dup /pathbbox load eq { pop 0 0 1 1 } { ncpoint } ifelse } bind def end /image_raster { %% sw sh dw dh xs ys translate scale /sh exch def /sw exch def /imagebuf sw 7 add 8 idiv string def sw sh 1 [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } image } bind def /m {moveto} bind def /l {lineto} bind def /c {curveto} bind def /n {newpath} bind def /cl {closepath} bind def /ar { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll translate rotate scale n 0 0 1 5 3 roll arc setmatrix } bind def /arn { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll translate rotate scale n 0 0 1 5 3 roll arcn setmatrix } bind def /el { %% sx sy rot tx ty matrix currentmatrix 6 1 roll translate rotate scale n 0 0 1 0 360 arc setmatrix cl } bind def /bp {setlinejoin setlinewidth setrgbcolor} bind def /bpbw {setlinejoin setlinewidth setgray} bind def /lw {setlinewidth} bind def /lj {setlinejoin} bind def /gr {setgray} bind def /BPSIDE 32 def %% pixels per pattern side /PATFREQ 3.0 def %% pattern pixels per mm /dp_mat [PATFREQ 0 0 PATFREQ 0 0] def /dp_pw BPSIDE def %% pattern pixel width /dp_ph BPSIDE def %% pattern pixel height /dp_w dp_pw PATFREQ div def %% pattern mm width /dp_h dp_ph PATFREQ div def %% pattern mm height /dp_bs 1 def %% pattern bits per pixel /savemat matrix def /topmat matrix def /patmat matrix def /patpath { /inv exch def topmat setmatrix pathbbox %% get lo - hi indecies /hy exch dp_h div floor cvi def /hx exch dp_w div floor cvi def /ly exch dp_h div floor cvi def /lx exch dp_w div floor cvi def lx 1 hx { dp_w mul ly 1 hy { dp_h mul exch dup 3 1 roll exch patmat currentmatrix pop translate dp_pw dp_ph inv dp_mat dp_proc imagemask patmat setmatrix } for pop } for } bind def % setpattern brush of patterns instead of gray /setpattern { /blue exch def /green exch def /red exch def /freq exch def /bwidth exch def /bpside exch def /bstring exch def /onbits 0 def /offbits 0 def freq 0 {/y exch def /x exch def /xindex x 1 add 2 div bpside mul cvi def /yindex y 1 add 2 div bpside mul cvi def bstring yindex bwidth mul xindex 8 idiv add get not 1 7 xindex 8 mod sub bitshift and 0 ne {/onbits onbits 1 add def 1} {/offbits offbits 1 add def 0} ifelse } setscreen {} settransfer systemdict /setcmykcolor known { /fact 1 onbits offbits onbits add div sub def 1 red sub fact mul 1 green sub fact mul 1 blue sub fact mul 0 setcmykcolor } { offbits offbits onbits add div setgray } ifelse } bind def /dmatrix matrix def /dpi 72 0 dmatrix defaultmatrix dtransform dup mul exch dup mul add sqrt def /B {gsave bp stroke grestore} bind def %% brush: gr lw lj /Bbw {gsave bpbw stroke grestore} bind def %% brush: gr lw lj /F {gsave setrgbcolor eofill grestore} bind def %% fill: gr /Fbw {gsave setgray eofill grestore} bind def %% fill: gr /PB {gsave setlinejoin setlinewidth setpattern stroke grestore} bind def /PF {gsave eoclip patpath grestore} bind def /BB { gsave setrgbcolor setlinejoin setlinewidth strokepath clip patpath grestore } bind def /BLACK { 0.0 } bind def /CP {closepath} bind def /FI {eofill} bind def /E {exch} bind def /FF {findfont} bind def /GR {grestore} bind def /GS {gsave} bind def /MF {makefont} bind def /NP {newpath} bind def /RO {rotate} bind def /ST {stroke} bind def /SC {scale} bind def /SF {setfont} bind def /SG {setgray} bind def /SLC {setlinecap} bind def /SLJ {setlinejoin} bind def /SLW {setlinewidth} bind def /TR {translate} bind def /WHITE { 1.0 } bind def /m {moveto} bind def /r {rmoveto} bind def /l {lineto} bind def /sp {x 0 rmoveto} bind def /rl {rlineto} bind def /s {show} bind def /box { NP m l l l CP } bind def /pageboundary { NP m l l l CP } bind def /BS { % black stroke GS SLJ SLW BLACK SG ST GR } bind def /WS { % white stroke GS SLJ SLW WHITE SG ST GR } bind def /reencode_small_dict 12 dict def /ReencodeSmall { reencode_small_dict begin /new_codes_and_names E def /new_font_name E def /base_font_name E def /base_font_dict base_font_name FF def /newfont base_font_dict maxlength dict def base_font_dict { E dup /FID ne { dup /Encoding eq { E dup length array copy newfont 3 1 roll put } { E newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall newfont /FontName new_font_name put new_codes_and_names aload pop new_codes_and_names length 2 idiv { newfont /Encoding get 3 1 roll put } repeat new_font_name newfont definefont pop end %reencode_small_dict } def /extended_Zapf [ 8#223 /a89 8#224 /a90 8#225 /a93 8#226 /a94 8#227 /a91 8#230 /a92 8#231 /a205 8#232 /a85 8#233 /a206 8#234 /a86 8#235 /a87 8#236 /a88 8#237 /a95 8#240 /a96 ] def /extended_Standard [ 29 /thorn 30 /yacute 31 /divide 128 /Acircumflex 129 /Adieresis 130 /Agrave 131 /Aring 132 /Atilde 133 /Ccedilla 134 /Eacute 135 /Ecircumflex 136 /Edieresis 137 /Egrave 138 /Iacute 139 /Icircumflex 140 /Idieresis 141 /Igrave 142 /Ntilde 143 /Oacute 144 /Ocircumflex 145 /Odieresis 146 /Ograve 147 /Otilde 148 /Scaron 149 /Uacute 150 /Ucircumflex 151 /Udieresis 152 /Ugrave 153 /Ydieresis 154 /Zcaron 155 /aacute 156 /acircumflex 157 /adieresis 158 /agrave 159 /aring 160 /atilde 161 /exclamdown 162 /cent 163 /sterling 164 /fraction 165 /yen 166 /florin 167 /section 168 /currency 169 /quotesingle 170 /quotedblleft 171 /guillemotleft 172 /guilsinglleft 173 /guilsinglright 174 /fi 175 /fl 176 /plusminus 177 /endash 178 /dagger 179 /daggerdbl 180 /periodcentered 181 /twosuperior 182 /paragraph 183 /bullet 184 /quotesinglebase 185 /quotedblbase 186 /quotedblright 187 /guillemotright 188 /ellipsis 189 /perthousand 190 /threesuperior 191 /questiondown 192 /mu 193 /grave 194 /acute 195 /circumflex 196 /tilde 197 /macron 198 /breve 199 /dotaccent 200 /dieresis 201 /onesuperior 202 /ring 203 /cedilla 204 /onequarter 205 /hungarumlaut 206 /ogonek 207 /caron 208 /emdash 209 /ccedilla 210 /copyright 211 /eacute 212 /ecircumflex 213 /edieresis 214 /egrave 215 /iacute 216 /icircumflex 217 /idieresis 218 /igrave 219 /logicalnot 220 /minus 221 /ntilde 222 /oacute 223 /ocircumflex 224 /odieresis 225 /AE 226 /onehalf 227 /ordfeminine 228 /ograve 229 /otilde 230 /registered 231 /scaron 232 /Lslash 233 /Oslash 234 /OE 235 /ordmasculine 236 /trademark 237 /uacute 238 /ucircumflex 239 /udieresis 240 /ugrave 241 /ae 242 /ydieresis 243 /zcaron 244 /Aacute 245 /dotlessi 246 /threequarters 247 /Eth 248 /lslash 249 /oslash 250 /oe 251 /germandbls 252 /multiply 253 /Yacute 254 /Thorn 255 /eth ] def /extended_Symbol [ ] def /extend_font { % stack: fontname newfontname E dup (ZapfDingbats) eq { cvn E cvn extended_Zapf ReencodeSmall } { dup (Symbol) eq { cvn E cvn extended_Symbol ReencodeSmall } { cvn E cvn extended_Standard ReencodeSmall } ifelse } ifelse } bind def /getfont { /f E def f cvn where % { begin f cvx cvn exec SF end } { begin f cvn load exec SF end } % { f 0 f length 8 sub getinterval (LocalFont) extend_font %/LocalFont FF { f 0 f length 8 sub getinterval dup dup length 1 add string /localfont exch def localfont exch 0 exch putinterval localfont dup length 1 sub (X) putinterval localfont extend_font localfont FF /xsz f f length 4 sub 4 getinterval cvi def /ysz f f length 8 sub 4 getinterval cvi def [ xsz 0 0 ysz neg 0 0 ] MF dup f cvn E def SF } ifelse } bind def /ul { % space drop thickness GS currentpoint currentlinewidth currentpoint NP m 6 -3 roll SLW 0 E r 0 rl ST SLW m GR } bind def /ss { currentpoint pop E m } bind def /image_raster { % sw sh dw dh xs ys TR SC /sh E def /sw E def /imagebuf sw 7 add 8 idiv string def sw sh 1 [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } image } bind def /imagemask_raster { TR SC /sh E def /sw E def /imagebuf sw 7 add 8 idiv string def sw sh false [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } imagemask } bind def /image_color_raster { % sw sh sd dw dh xs ys systemdict /colorimage known not { /colorimage /colimg load def } if TR SC /sd E def /sh E def /sw E def /imagebuf sw 3 mul sd mul 7 add 8 idiv string def sw sh sd [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop } false 3 colorimage } bind def /nx { /x E def } bind def 0. nx .9 dup scale gsave 2.83465 -2.83465 scale 0 -279.4 translate topmat currentmatrix pop % Irpoly n 110.92 183.33 m 140.25 183.33 l 140.25 200.75 l 110.92 200.75 l cl 1 Fbw % Irpoly n 94.111 126.81 m 118.86 126.81 l 118.86 130.78 l 94.111 130.78 l cl 1 Fbw % Irpoly n 90.444 60.5 m 121.61 60.5 l 121.61 67.222 l 90.444 67.222 l cl 1 Fbw % Irpoly n 49.5 21.694 m 55.306 21.694 l 55.306 52.861 l 49.5 52.861 l cl 1 Fbw % Irpoly n 90.444 114.28 m 128.03 114.28 l 128.03 121 l 90.444 121 l cl 1 Fbw % Irpoly n 90.444 115.19 m 120.69 115.19 l 120.69 119.47 l 90.444 119.47 l cl 1 Fbw % Irpoly n 91.361 168.67 m 121.31 168.67 l 121.31 173.86 l 91.361 173.86 l cl 1 Fbw % Irpoly n 94.111 222.44 m 119.78 222.44 l 119.78 227.03 l 94.111 227.03 l cl 1 Fbw % Text n savemat currentmatrix pop [1 0 0 1 101.139 228.556] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (epochs) s savemat setmatrix % Irpoly n 48.583 73.944 m 57.139 73.944 l 57.139 109.39 l 48.583 109.39 l cl 1 Fbw % Irpoly n 45.528 129.56 m 56.528 129.56 l 56.528 167.44 l 45.528 167.44 l cl 1 Fbw % Irpoly n 49.194 184.86 m 56.833 184.86 l 56.833 217.25 l 49.194 217.25 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 53.018 205.771] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (variances) s savemat setmatrix % Irpoly n 95.028 102.36 m 117.03 102.36 l 117.03 106.94 l 95.028 106.94 l cl 1 Fbw % Irpoly n 95.028 74.556 m 119.78 74.556 l 119.78 77.917 l 95.028 77.917 l cl 1 Fbw % Irpoly n 94.722 140.86 m 120.39 140.86 l 120.39 146.67 l 94.722 146.67 l cl 1 Fbw % Group n savemat currentmatrix pop [1 0 0 1 84.333 190.361] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (expert 1) s savemat setmatrix n 69.918 195.65 m 76.404 188.86 81.852 189.61 81.852 189.61 c 82.111 189.36 l 1 Fbw gsave 0 0 0 Bbw grestore n 71.215 194.39 m 68.75 196.78 l 1 Fbw n 68.75 196.78 m 69.966 194.44 l 71.125 195.64 l cl 0 Fbw n 71.215 194.39 m 70.546 195.04 l gsave 0 0 0 Bbw grestore % Irpoly n 51.639 20.778 m 55.306 20.778 l 55.306 52.556 l 51.639 52.556 l cl 1 Fbw % Irpoly n 89.528 60.194 m 120.39 60.194 l 120.39 65.694 l 89.528 65.694 l cl 1 Fbw % Group n 62.743 57.151 m 62.743 14.506 l 151.75 14.506 l 151.75 57.151 l 62.743 57.151 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.429 55.973 57.669] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1600) s savemat setmatrix n 63.626 51.82 m 62.743 51.82 l gsave 0 0.1 1 Bbw grestore n 151.75 51.82 m 150.87 51.82 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.429 55.973 52.338] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1400) s savemat setmatrix n 63.626 46.49 m 62.743 46.49 l gsave 0 0.1 1 Bbw grestore n 151.75 46.49 m 150.87 46.49 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.429 55.973 47.008] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1200) s savemat setmatrix n 63.626 41.16 m 62.743 41.16 l gsave 0 0.1 1 Bbw grestore n 151.75 41.16 m 150.87 41.16 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.429 55.973 41.678] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1000) s savemat setmatrix n 63.626 35.828 m 62.743 35.828 l gsave 0 0.1 1 Bbw grestore n 151.75 35.828 m 150.87 35.828 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.429 57.284 36.347] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-800) s savemat setmatrix n 63.626 30.497 m 62.743 30.497 l gsave 0 0.1 1 Bbw grestore n 151.75 30.497 m 150.87 30.497 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.429 57.284 31.016] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-600) s savemat setmatrix n 63.626 25.168 m 62.743 25.168 l gsave 0 0.1 1 Bbw grestore n 151.75 25.168 m 150.87 25.168 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.429 57.284 25.687] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-400) s savemat setmatrix n 63.626 19.837 m 62.743 19.837 l gsave 0 0.1 1 Bbw grestore n 151.75 19.837 m 150.87 19.837 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.429 57.284 20.356] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-200) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 60.776 15.025] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 62.087 59.052] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 77.577 56.702 m 77.577 57.151 l gsave 0 0.1 1 Bbw grestore n 77.577 14.506 m 77.577 14.956 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.429 76.265 59.052] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 92.412 56.702 m 92.412 57.151 l gsave 0 0.1 1 Bbw grestore n 92.412 14.506 m 92.412 14.956 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.429 91.101 59.052] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.25 56.702 m 107.25 57.151 l gsave 0 0.1 1 Bbw grestore n 107.25 14.506 m 107.25 14.956 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.429 105.935 59.052] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.08 56.702 m 122.08 57.151 l gsave 0 0.1 1 Bbw grestore n 122.08 14.506 m 122.08 14.956 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.429 120.769 59.052] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 136.91 56.702 m 136.91 57.151 l gsave 0 0.1 1 Bbw grestore n 136.91 14.506 m 136.91 14.956 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.652 0 0 0.429 135.603 59.052] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 150.438 59.052] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 63.794 14.801] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 65.277 52.349] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 66.761 42.625] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 68.244 33.587] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 69.727 32.096] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 71.21 31.484] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 72.694 27.402] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 74.177 21.3] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 75.662 20.529] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 77.144 20.527] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 78.628 20.524] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 80.11 20.524] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 81.595 20.524] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 83.079 20.523] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 84.561 20.523] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 86.046 20.522] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 87.529 20.522] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 89.012 20.522] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 90.495 20.521] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 91.98 20.521] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 93.462 20.521] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 94.947 20.521] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 96.429 20.521] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 97.913 20.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 99.396 20.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 100.88 20.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 102.363 20.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 103.847 20.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 105.329 20.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 106.814 20.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 108.296 20.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 109.78 20.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 111.263 20.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 112.746 20.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 114.23 20.52] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 115.715 20.519] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 117.197 20.519] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 118.681 20.519] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 120.163 20.519] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 121.647 20.519] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 123.131 20.519] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 124.614 20.519] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 126.097 20.518] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 127.58 20.518] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 129.064 20.518] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 130.548 20.518] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 132.03 20.518] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 133.515 20.518] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 134.998 20.517] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 136.481 20.517] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 137.965 20.517] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman01400140) getfont () s 0.00 SG (o) s savemat setmatrix n savemat currentmatrix pop [0.652 0 0 0.429 98.079 62.625] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.429 0.651 0 54.341 41.995] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the log-likelihood) s savemat setmatrix % Irpoly n 46.444 28.111 m 55 28.111 l 55 44.306 l 46.444 44.306 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 52.814 47.289] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (log likelihood) s savemat setmatrix % Irpoly n 88 60.194 m 120.69 60.194 l 120.69 63.861 l 88 63.861 l cl 1 Fbw % Group n 62.946 110.61 m 62.946 68.231 l 151.69 68.231 l 151.69 110.61 l 62.946 110.61 l gsave 0 0.1 1 Bbw grestore n 63.827 108.98 m 62.946 108.98 l gsave 0 0.1 1 Bbw grestore n 151.69 108.98 m 150.81 108.98 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.427 60.117 109.496] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-1) s savemat setmatrix n 63.827 100.83 m 62.946 100.83 l gsave 0 0.1 1 Bbw grestore n 151.69 100.83 m 150.81 100.83 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.427 60.985 101.346] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 63.827 92.68 m 62.946 92.68 l gsave 0 0.1 1 Bbw grestore n 151.69 92.68 m 150.81 92.68 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.427 60.985 93.196] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n 63.827 84.531 m 62.946 84.531 l gsave 0 0.1 1 Bbw grestore n 151.69 84.531 m 150.81 84.531 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.427 60.985 85.046] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2) s savemat setmatrix n 63.827 76.38 m 62.946 76.38 l gsave 0 0.1 1 Bbw grestore n 151.69 76.38 m 150.81 76.38 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.427 60.985 76.896] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (3) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.427 60.985 68.745] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (4) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.427 62.293 112.5] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 77.736 110.16 m 77.736 110.61 l gsave 0 0.1 1 Bbw grestore n 77.736 68.231 m 77.736 68.677 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.427 76.429 112.5] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 92.527 110.16 m 92.527 110.61 l gsave 0 0.1 1 Bbw grestore n 92.527 68.231 m 92.527 68.677 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.427 91.22 112.5] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.32 110.16 m 107.32 110.61 l gsave 0 0.1 1 Bbw grestore n 107.32 68.231 m 107.32 68.677 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.427 106.009 112.5] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.11 110.16 m 122.11 110.61 l gsave 0 0.1 1 Bbw grestore n 122.11 68.231 m 122.11 68.677 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.427 120.799 112.5] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 136.9 110.16 m 136.9 110.61 l gsave 0 0.1 1 Bbw grestore n 136.9 68.231 m 136.9 68.677 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.427 135.589 112.5] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.427 150.378 112.5] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n 138.37 108.83 m 136.9 108.83 l 135.42 108.83 l 133.94 108.83 l 132.46 108.83 l 130.98 108.83 l 129.5 108.83 l 128.02 108.83 l 126.54 108.83 l 125.06 108.83 l 123.58 108.83 l 122.11 108.83 l 120.63 108.83 l 119.15 108.83 l 117.67 108.83 l 116.19 108.83 l 114.71 108.83 l 113.23 108.83 l 111.75 108.83 l 110.27 108.83 l 108.8 108.83 l 107.32 108.83 l 105.84 108.83 l 104.36 108.83 l 102.88 108.83 l 101.4 108.83 l 99.921 108.83 l 98.443 108.83 l 96.963 108.83 l 95.485 108.83 l 94.005 108.83 l 92.527 108.83 l 91.047 108.83 l 89.569 108.83 l 88.09 108.83 l 86.61 108.83 l 85.131 108.83 l 83.653 108.83 l 82.173 108.83 l 80.693 108.83 l 79.215 108.82 l 77.736 108.83 l 76.258 108.82 l 74.778 108.83 l 73.3 108.86 l 71.82 107.15 l 70.342 102.86 l 68.862 102.59 l 67.384 102.25 l 65.904 101.41 l 64.426 97.707 l gsave 0 0.1 1 Bbw grestore n 138.37 71.997 m 136.9 71.999 l 135.42 71.998 l 133.94 72 l 132.46 71.998 l 130.98 72 l 129.5 71.999 l 128.02 72 l 126.54 71.999 l 125.06 72 l 123.58 71.999 l 122.11 72 l 120.63 72 l 119.15 72 l 117.67 72 l 116.19 72.001 l 114.71 72 l 113.23 72.001 l 111.75 72.001 l 110.27 72.001 l 108.8 72.001 l 107.32 72.002 l 105.84 72.002 l 104.36 72.002 l 102.88 72.003 l 101.4 72.003 l 99.921 72.004 l 98.443 72.004 l 96.963 72.005 l 95.485 72.005 l 94.005 72.006 l 92.527 72.006 l 91.047 72.008 l 89.569 72.007 l 88.09 72.012 l 86.61 72.009 l 85.131 72.015 l 83.653 72.012 l 82.173 72.02 l 80.693 72.016 l 79.215 72.029 l 77.736 72.021 l 76.258 72.047 l 74.778 72.02 l 73.3 71.916 l 71.82 77.772 l 70.342 90.628 l 68.862 91.429 l 67.384 92.436 l 65.904 95.717 l 64.426 99.991 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.65 0 0 0.427 98.177 116.051] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.426 0.649 0 54.569 102.287] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the parameter values of expert-net-1) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.427 99.921 105.377] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1st parameter) s savemat setmatrix n savemat currentmatrix pop [0.65 0 0 0.427 99.921 76.036] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Irpoly n 97.472 73.333 m 117.94 73.333 l 117.94 80.056 l 97.472 80.056 l cl 1 Fbw % Irpoly n 99 100.83 m 119.78 100.83 l 119.78 107.56 l 99 107.56 l cl 1 Fbw % Irpoly n 92.583 113.97 m 120.69 113.97 l 120.69 117.64 l 92.583 117.64 l cl 1 Fbw % Irpoly n 50.111 75.472 m 57.444 75.472 l 57.444 104.19 l 50.111 104.19 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 52.624 109.738] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (parameters \(expert 1\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 96.25 77.306] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 96.556 106.333] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (1st parameter) s savemat setmatrix % Group n 63.774 164.93 m 63.774 122.02 l 151.77 122.02 l 151.77 164.93 l 63.774 164.93 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 61.83 165.45] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 64.647 160.64 m 63.774 160.64 l gsave 0 0.1 1 Bbw grestore n 151.77 160.64 m 150.9 160.64 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 59.885 161.16] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.1) s savemat setmatrix n 64.647 156.35 m 63.774 156.35 l gsave 0 0.1 1 Bbw grestore n 151.77 156.35 m 150.9 156.35 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 59.885 156.868] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.2) s savemat setmatrix n 64.647 152.06 m 63.774 152.06 l gsave 0 0.1 1 Bbw grestore n 151.77 152.06 m 150.9 152.06 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 59.885 152.578] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.3) s savemat setmatrix n 64.647 147.76 m 63.774 147.76 l gsave 0 0.1 1 Bbw grestore n 151.77 147.76 m 150.9 147.76 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 59.885 148.286] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.4) s savemat setmatrix n 64.647 143.47 m 63.774 143.47 l gsave 0 0.1 1 Bbw grestore n 151.77 143.47 m 150.9 143.47 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 59.885 143.996] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.5) s savemat setmatrix n 64.647 139.18 m 63.774 139.18 l gsave 0 0.1 1 Bbw grestore n 151.77 139.18 m 150.9 139.18 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 59.885 139.705] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.6) s savemat setmatrix n 64.647 134.89 m 63.774 134.89 l gsave 0 0.1 1 Bbw grestore n 151.77 134.89 m 150.9 134.89 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 59.885 135.415] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.7) s savemat setmatrix n 64.647 130.6 m 63.774 130.6 l gsave 0 0.1 1 Bbw grestore n 151.77 130.6 m 150.9 130.6 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 59.885 131.124] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.8) s savemat setmatrix n 64.647 126.31 m 63.774 126.31 l gsave 0 0.1 1 Bbw grestore n 151.77 126.31 m 150.9 126.31 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 59.885 126.833] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.9) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.432 61.83 122.542] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.432 63.126 166.842] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 78.44 164.48 m 78.44 164.93 l gsave 0 0.1 1 Bbw grestore n 78.44 122.02 m 78.44 122.47 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 77.144 166.842] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 93.107 164.48 m 93.107 164.93 l gsave 0 0.1 1 Bbw grestore n 93.107 122.02 m 93.107 122.47 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 91.81 166.842] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.77 164.48 m 107.77 164.93 l gsave 0 0.1 1 Bbw grestore n 107.77 122.02 m 107.77 122.47 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 106.476 166.842] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.44 164.48 m 122.44 164.93 l gsave 0 0.1 1 Bbw grestore n 122.44 122.02 m 122.44 122.47 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 121.142 166.842] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 137.1 164.48 m 137.1 164.93 l gsave 0 0.1 1 Bbw grestore n 137.1 122.02 m 137.1 122.47 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 135.808 166.842] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.432 150.474 166.842] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n 138.57 130.87 m 137.1 130.87 l 135.64 130.88 l 134.17 130.87 l 132.7 130.88 l 131.24 130.87 l 129.77 130.88 l 128.31 130.88 l 126.84 130.88 l 125.37 130.88 l 123.9 130.88 l 122.44 130.88 l 120.97 130.88 l 119.5 130.88 l 118.04 130.88 l 116.57 130.88 l 115.1 130.88 l 113.64 130.88 l 112.17 130.88 l 110.71 130.88 l 109.24 130.88 l 107.77 130.88 l 106.31 130.88 l 104.84 130.88 l 103.37 130.88 l 101.91 130.88 l 100.44 130.89 l 98.973 130.89 l 97.506 130.89 l 96.04 130.89 l 94.573 130.89 l 93.107 130.89 l 91.64 130.9 l 90.174 130.9 l 88.707 130.9 l 87.24 130.9 l 85.773 130.91 l 84.307 130.91 l 82.84 130.92 l 81.373 130.93 l 79.907 130.93 l 78.44 130.95 l 76.974 130.97 l 75.507 131.03 l 74.041 130.93 l 72.773 122.02 l 72.429 122.02 l 71.108 134.86 l 69.64 134.75 l 68.174 132.67 l 66.707 151.77 l 65.241 137.11 l gsave 0 0.1 1 Bbw grestore n 138.57 147.32 m 137.1 147.32 l 135.64 147.32 l 134.17 147.32 l 132.7 147.32 l 131.24 147.32 l 129.77 147.32 l 128.31 147.32 l 126.84 147.32 l 125.37 147.32 l 123.9 147.32 l 122.44 147.32 l 120.97 147.32 l 119.5 147.32 l 118.04 147.32 l 116.57 147.32 l 115.1 147.32 l 113.64 147.32 l 112.17 147.32 l 110.71 147.32 l 109.24 147.32 l 107.77 147.32 l 106.31 147.32 l 104.84 147.32 l 103.37 147.32 l 101.91 147.32 l 100.44 147.32 l 98.973 147.32 l 97.506 147.32 l 96.04 147.32 l 94.573 147.32 l 93.107 147.32 l 91.64 147.32 l 90.174 147.32 l 88.707 147.32 l 87.24 147.32 l 85.773 147.32 l 84.307 147.32 l 82.84 147.32 l 81.373 147.33 l 79.907 147.33 l 78.44 147.33 l 76.974 147.33 l 75.507 147.34 l 74.041 147.4 l 72.574 139.1 l 71.108 150.66 l 69.64 150.64 l 68.174 148.98 l 66.707 148.76 l 65.241 152.11 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.432 98.71 170.436] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.432 0.644 0 55.467 156.501] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the parameter values of expert-net-2) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.432 100.439 128.967] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1st parameter) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.432 100.439 146.13] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Irpoly n 98.389 124.97 m 119.47 124.97 l 119.47 130.17 l 98.389 130.17 l cl 1 Fbw % Irpoly n 98.389 142.08 m 119.17 142.08 l 119.17 146.67 l 98.389 146.67 l cl 1 Fbw % Irpoly n 95.333 167.75 m 119.47 167.75 l 119.47 173.25 l 95.333 173.25 l cl 1 Fbw % Irpoly n 48.583 129.56 m 58.667 129.56 l 58.667 158.89 l 48.583 158.89 l cl 1 Fbw % Text n savemat currentmatrix pop [0 -1 1 0 52.846 163.127] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (parameters \(expert 2\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 96.556 128.944] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (1st parameter) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 95.944 145.444] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (2nd parameter) s savemat setmatrix % Group n 63.827 219.51 m 63.827 176.56 l 151.7 176.56 l 151.7 219.51 l 63.827 219.51 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.433 61.885 220.035] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 64.698 213.38 m 63.827 213.38 l gsave 0 0.1 1 Bbw grestore n 151.7 213.38 m 150.83 213.38 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.433 59.943 213.899] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.2) s savemat setmatrix n 64.698 207.24 m 63.827 207.24 l gsave 0 0.1 1 Bbw grestore n 151.7 207.24 m 150.83 207.24 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.433 59.943 207.764] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.4) s savemat setmatrix n 64.698 201.11 m 63.827 201.11 l gsave 0 0.1 1 Bbw grestore n 151.7 201.11 m 150.83 201.11 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.433 59.943 201.629] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.6) s savemat setmatrix n 64.698 194.97 m 63.827 194.97 l gsave 0 0.1 1 Bbw grestore n 151.7 194.97 m 150.83 194.97 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.433 59.943 195.493] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0.8) s savemat setmatrix n 64.698 188.83 m 63.827 188.83 l gsave 0 0.1 1 Bbw grestore n 151.7 188.83 m 150.83 188.83 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.433 61.885 189.357] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1) s savemat setmatrix n 64.698 182.7 m 63.827 182.7 l gsave 0 0.1 1 Bbw grestore n 151.7 182.7 m 150.83 182.7 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.433 59.943 183.222] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1.2) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.433 59.943 177.086] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (1.4) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.433 63.18 221.428] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (0) s savemat setmatrix n 78.472 219.06 m 78.472 219.51 l gsave 0 0.1 1 Bbw grestore n 78.472 176.56 m 78.472 177.02 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.433 77.178 221.428] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (10) s savemat setmatrix n 93.119 219.06 m 93.119 219.51 l gsave 0 0.1 1 Bbw grestore n 93.119 176.56 m 93.119 177.02 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.433 91.824 221.428] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (20) s savemat setmatrix n 107.76 219.06 m 107.76 219.51 l gsave 0 0.1 1 Bbw grestore n 107.76 176.56 m 107.76 177.02 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.433 106.47 221.428] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (30) s savemat setmatrix n 122.41 219.06 m 122.41 219.51 l gsave 0 0.1 1 Bbw grestore n 122.41 176.56 m 122.41 177.02 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.433 121.116 221.428] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (40) s savemat setmatrix n 137.06 219.06 m 137.06 219.51 l gsave 0 0.1 1 Bbw grestore n 137.06 176.56 m 137.06 177.02 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.433 135.761 221.428] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (50) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.433 150.407 221.428] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (60) s savemat setmatrix n 138.52 216.75 m 137.06 216.74 l 135.59 216.75 l 134.13 216.74 l 132.66 216.75 l 131.2 216.74 l 129.73 216.75 l 128.27 216.74 l 126.8 216.75 l 125.34 216.74 l 123.87 216.75 l 122.41 216.74 l 120.94 216.75 l 119.48 216.74 l 118.01 216.75 l 116.55 216.74 l 115.09 216.75 l 113.62 216.74 l 112.16 216.75 l 110.69 216.74 l 109.23 216.75 l 107.76 216.74 l 106.3 216.75 l 104.83 216.74 l 103.37 216.75 l 101.91 216.74 l 100.44 216.75 l 98.977 216.74 l 97.512 216.75 l 96.048 216.74 l 94.582 216.75 l 93.119 216.74 l 91.653 216.75 l 90.19 216.74 l 88.725 216.75 l 87.261 216.74 l 85.795 216.75 l 84.331 216.74 l 82.866 216.75 l 81.401 216.74 l 79.937 216.75 l 78.472 216.73 l 77.008 216.75 l 75.543 216.71 l 74.08 215.02 l 72.614 217.45 l 71.15 217.21 l 69.685 217.07 l 68.22 214.62 l 66.756 205.18 l 65.291 188.83 l gsave 0 0.1 1 Bbw grestore n 138.52 216.78 m 137.06 216.77 l 135.59 216.78 l 134.13 216.77 l 132.66 216.78 l 131.2 216.77 l 129.73 216.78 l 128.27 216.77 l 126.8 216.78 l 125.34 216.77 l 123.87 216.78 l 122.41 216.77 l 120.94 216.78 l 119.48 216.77 l 118.01 216.78 l 116.55 216.77 l 115.09 216.78 l 113.62 216.77 l 112.16 216.78 l 110.69 216.77 l 109.23 216.78 l 107.76 216.77 l 106.3 216.78 l 104.83 216.77 l 103.37 216.78 l 101.91 216.77 l 100.44 216.78 l 98.977 216.77 l 97.512 216.78 l 96.048 216.77 l 94.582 216.78 l 93.119 216.77 l 91.653 216.78 l 90.19 216.77 l 88.725 216.78 l 87.261 216.77 l 85.795 216.78 l 84.331 216.77 l 82.866 216.78 l 81.401 216.77 l 79.937 216.78 l 78.472 216.77 l 77.008 216.78 l 75.543 216.76 l 74.08 216.05 l 72.614 216.54 l 71.15 211.2 l 69.685 210.76 l 68.22 208.72 l 66.756 186.68 l 65.291 188.83 l gsave 0 0.1 1 Bbw grestore n savemat currentmatrix pop [0.644 0 0 0.433 98.714 225.026] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the learning steps) s savemat setmatrix n savemat currentmatrix pop [0 -0.432 0.643 0 55.532 206.152] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (the estimated variances) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.433 115.086 188.487] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (- with expert-net-1) s savemat setmatrix n savemat currentmatrix pop [0.644 0 0 0.433 115.086 194.622] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Times-Roman02200220) getfont () s 0.00 SG (-- with expert-net-2) s savemat setmatrix % Irpoly n 52.861 184.25 m 58.056 184.25 l 58.056 212.97 l 52.861 212.97 l cl 1 Fbw % Irpoly n 94.111 222.75 m 119.78 222.75 l 119.78 225.81 l 94.111 225.81 l cl 1 Fbw % Irpoly n 99.306 180.58 m 143.92 180.58 l 143.92 206.25 l 99.306 206.25 l cl 1 Fbw % Group n 70.583 213.58 m 78.222 205.33 84.639 206.25 84.639 206.25 c 84.944 205.94 l 1 Fbw gsave 0 0 0 Bbw grestore n 72.111 212.06 m 69.208 214.96 l 1 Fbw n 69.208 214.96 m 70.387 212.6 l 71.565 213.78 l cl 0 Fbw n 72.111 212.06 m 70.976 213.19 l gsave 0 0 0 Bbw grestore n savemat currentmatrix pop [1 0 0 1 87.389 207.166] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica01800180) getfont () s 0.00 SG (expert 2) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143.306 21.0833] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(a\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143.306 74.8611] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(b\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143.306 183.333] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(d\)) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 143.306 128.639] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica02400240) getfont () s 0.00 SG (\(c\)) s savemat setmatrix userdict /#copies 1 put showpage grestore end restore %%EndDocument @endspecial 249 2680 a(Figure)15 b(7:)20 b(The)15 b(p)q(erformance)h (of)f(the)g(algorithm)g(based)h(on)f(lo)q(cal)h(linearization.)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF </i)941>