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b Fv(\022)768 2130 y Fs(ij)848 2118 y Fy(are)g(bounded)e(in)i (magnitude)f(by)h Fv(\034)9 b(=)-5 b(N)9 b Fy(,)21 b(where)f Fv(\034)30 b Fy(is)22 b(a)e(constant)g(and)g Fv(N)30 b Fy(is)21 b(the)f(number)450 2210 y(of)k(parent)g(\(\223disease\224\)) f(nodes,)i(K)n(earns)f(and)g(Saul)h(sho)n(wed)e(that)i(the)f(error)f (in)i(lik)o(elihood)e(for)h(their)450 2314 y(algorithm)19 b(con)m(v)o(er)o(ges)e(at)k(a)f(rate)g(of)g Fv(O)r Fu(\()1615 2243 y Ft(p)p 1699 2243 303 4 v 1699 2314 a Fu(log)14 b Fv(N)r(=)-5 b(N)9 b Fu(\))p Fy(.)450 2550 y Fw(3)99 b(Algorithms)25 b(based)g(on)g(local)g(expansions)450 2743 y Fy(Inspired)e(by)h(K)n(earns)g(and)g(Saul)h(\(1998\),)e(we)i (describe)f(the)g(design)g(of)g(approximation)e(algorithms)450 2834 y(for)h(QMR-DT)g(obtained)e(by)i(e)o(xpansions)f(around)f(the)i (mean)g(input)f(to)h(the)h(\002nding)e(nodes.)33 b(Rather)450 2925 y(than)28 b(using)h(point)f(approximations)e(as)k(in)f(the)g(K)n (earns-Saul)f(\(KS\))h(algorithm,)g(we)g(mak)o(e)g(use)g(of)450 3017 y(T)-7 b(aylor)23 b(e)o(xpansions.)35 b(\(See)24 b(also)h(Plefka)e(\(1982\),)g(and)h(Barber)f(and)h(v)n(an)f(de)h(Laar)g (\(1999\))e(for)h(other)450 3108 y(perturbational)18 b(techniques.\))450 3249 y(Consider)d(a)g(generalized)f(QMR-DT)h (architecture)f(in)h(which)g(the)g(noisy-OR)g(model)f(is)i(replaced)e (by)h(a)450 3349 y(general)k(function)g Fv( )s Fu(\()p Fv(z)t Fu(\))24 b(:)f Fc(R)30 b Fr(!)24 b Fu([0)p Fv(;)14 b Fu(1])20 b Fy(ha)n(ving)f(uniformly)f(bounded)g(deri)n(v)n(ati)n(v)o (es,)h(i.e.,)h Fr(j)p Fv( )3152 3319 y Fl(\()p Fs(i)p Fl(\))3232 3349 y Fu(\()p Fv(z)t Fu(\))p Fr(j)j(\024)450 3460 y Fv(B)513 3472 y Fs(i)541 3460 y Fy(.)30 b(De\002ne)22 b Fv(F)12 b Fu(\()p Fv(z)972 3472 y Fl(1)1009 3460 y Fv(;)i(:)g(:)g(:)f(;)h(z)1232 3472 y Fs(K)1296 3460 y Fu(\))26 b(=)1445 3398 y Ft(Q)1523 3419 y Fs(K)1523 3485 y(i)p Fl(=1)1649 3460 y Fu(\()p Fv( )s Fu(\()p Fv(z)1809 3472 y Fs(i)1836 3460 y Fu(\)\))1901 3419 y Fs(f)1933 3427 y Fp(i)1978 3398 y Ft(Q)2056 3419 y Fs(K)2056 3485 y(i)p Fl(=1)2182 3460 y Fu(\(1)18 b Fr(\000)g Fv( )s Fu(\()p Fv(z)2485 3472 y Fs(i)2513 3460 y Fu(\)\))2577 3419 y Fl(1)p Fq(\000)p Fs(f)2694 3427 y Fp(i)2747 3460 y Fy(so)k(that)g(the)g(lik)o(elihood)450 3552 y(can)e(be)g(written)g (as)1431 3643 y Fv(P)12 b Fu(\()p Fv(f)d Fu(\))23 b(=)g(E)1778 3658 y Fq(f)p Fs(z)1844 3666 y Fp(i)1869 3658 y Fq(g)1907 3643 y Fu([)p Fv(F)12 b Fu(\()p Fv(z)2066 3655 y Fl(1)2103 3643 y Fv(;)i(:)g(:)g(:)g(;)g(z)2327 3655 y Fs(K)2391 3643 y Fu(\)])p Fv(:)884 b Fy(\(2\))450 3781 y(Also)21 b(de\002ne)e Fv(\026)901 3793 y Fs(i)952 3781 y Fu(=)k(E[)p Fv(z)1159 3793 y Fs(i)1185 3781 y Fu(])h(=)e Fv(\022)1358 3793 y Fs(i)p Fl(0)1437 3781 y Fu(+)1520 3719 y Ft(P)1608 3739 y Fs(N)1608 3806 y(j)s Fl(=1)1741 3781 y Fv(\022)1780 3793 y Fs(ij)1838 3781 y Fv(P)12 b Fu(\()p Fv(d)1978 3793 y Fs(j)2037 3781 y Fu(=)22 b(1\))p Fy(.)450 3932 y(A)16 b(simple)f(mean-\002eld-lik)o(e)f(approximation)e(can)j(be)g (obtained)f(by)h(e)n(v)n(aluating)f Fv(F)28 b Fy(at)16 b(the)f(mean)g(v)n(alues)450 4023 y Fv(\026)500 4035 y Fs(i)528 4023 y Fy(:)1536 4115 y Fv(P)d Fu(\()p Fv(f)d Fu(\))23 b Fr(\031)g Fv(F)12 b Fu(\()p Fv(\026)1973 4127 y Fl(1)2010 4115 y Fv(;)i(:)g(:)g(:)g(;)g(\026)2245 4127 y Fs(K)2309 4115 y Fu(\))p Fv(:)989 b Fy(\(3\))450 4224 y(W)-7 b(e)21 b(refer)f(to)g(this)h(approximation)c(as)k(\223MF\(0\).) -6 b(\224)450 4366 y(Expanding)17 b(the)k(function)d Fv(F)33 b Fy(to)20 b(second)f(order)m(,)g(and)g(de\002ning)g Fv(\017)2353 4378 y Fs(i)2404 4366 y Fu(=)j Fv(z)2530 4378 y Fs(i)2576 4366 y Fr(\000)c Fv(\026)2709 4378 y Fs(i)2737 4366 y Fy(,)i(we)h(ha)n(v)o(e:)687 4577 y Fv(P)12 b Fu(\()p Fv(f)d Fu(\))83 b(=)f(E)1153 4592 y Fq(f)p Fs(\017)1215 4600 y Fp(i)1241 4592 y Fq(g)1293 4435 y Ft(")1341 4577 y Fv(F)12 b Fu(\()1438 4514 y Fq(!)1446 4566 y Fv(\026)1505 4577 y Fu(\))18 b(+)1678 4474 y Fs(K)1648 4499 y Ft(X)1638 4675 y Fs(i)1661 4683 y Fo(1)1694 4675 y Fl(=1)1792 4577 y Fv(F)1845 4589 y Fs(i)1868 4597 y Fo(1)1906 4577 y Fu(\()1938 4514 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Fs(i)2154 4897 y Fo(3)2191 4877 y Fu(\()2225 4803 y Fq(!)2236 4877 y Fv(\030)2289 4897 y Fs(\017)2321 4877 y Fu(\))p Fv(\017)2387 4889 y Fs(i)2410 4897 y Fo(1)2447 4877 y Fv(\017)2481 4889 y Fs(i)2504 4897 y Fo(2)2541 4877 y Fv(\017)2575 4889 y Fs(i)2598 4897 y Fo(3)2635 4735 y Ft(#)3353 4877 y Fy(\(4\))p eop %%Page: 4 4 4 3 bop 450 83 a Fy(where)17 b(the)h(subscripts)f(on)g Fv(F)30 b Fy(represent)16 b(deri)n(v)n(ati)n(v)o(es.)23 b(Dropping)15 b(the)j(remainder)d(term)j(and)f(bringing)450 174 y(the)j(e)o(xpectation)e(inside,)i(we)h(ha)n(v)o(e)e(the)i (\223MF\(2\)\224)e(approximation:)1170 409 y Fv(P)12 b Fu(\()p Fv(f)d Fu(\))23 b Fr(\031)g Fv(F)12 b Fu(\()1557 346 y Fq(!)1565 398 y Fv(\026)1623 409 y Fu(\))19 b(+)1767 353 y(1)p 1767 390 42 4 v 1767 466 a(2)1872 305 y Fs(K)1842 330 y Ft(X)1832 507 y Fs(i)1855 515 y Fo(1)1888 507 y Fl(=1)2026 305 y Fs(K)1996 330 y Ft(X)1986 507 y Fs(i)2009 515 y Fo(2)2042 507 y Fl(=1)2140 409 y Fv(F)2193 421 y Fs(i)2216 429 y Fo(1)2249 421 y Fs(i)2272 429 y Fo(2)2309 409 y Fu(\()2341 346 y Fq(!)2349 398 y Fv(\026)2408 409 y Fu(\)E[)p Fv(\017)2554 421 y Fs(i)2577 429 y Fo(1)2613 409 y Fv(\017)2647 421 y Fs(i)2670 429 y Fo(2)2707 409 y Fu(])450 650 y Fy(More)g(generally)-5 b(,)18 b(we)i(obtain)f(a)i (\223MF)p Fu(\()p Fv(i)p Fu(\))p Fy(\224)f(approximation)d(by)i (carrying)f(out)i(a)g(T)-7 b(aylor)20 b(e)o(xpansion)d(to)450 742 y Fv(i)p Fy(-th)j(order)-5 b(.)450 950 y Fz(3.1)82 b(Analysis)450 1121 y Fy(In)22 b(this)h(section,)f(we)g(gi)n(v)o(e)g (tw)o(o)g(theorems)f(establishing)h(con)m(v)o(er)o(gence)c(rates)k(for) g(the)g(MF)p Fu(\()p Fv(i)p Fu(\))h Fy(f)o(amily)450 1212 y(of)i(algorithms)g(and)g(for)g(the)h(Jaakk)o(ola)f(and)g(Jordan)f (algorithm.)40 b(As)27 b(in)f(K)n(earns)f(and)g(Saul)h(\(1998\),)450 1303 y(our)h(results)g(are)g(obtained)f(under)g(the)h(assumption)f (that)i(the)f(weights)g(are)g(of)g(magnitude)f(at)i(most)450 1395 y Fv(O)r Fu(\(1)p Fv(=)-5 b(N)9 b Fu(\))26 b Fy(\(recall)f(that)g Fv(N)34 b Fy(is)26 b(the)f(number)e(of)i(disease)g(nodes\).)39 b(F)o(or)24 b(lar)o(ge)g Fv(N)9 b Fy(,)26 b(this)g(assumption)e(of)450 1486 y(\223weak)15 b(interactions\224)f(implies)h(that)h(each)f Fv(z)1726 1498 y Fs(i)1769 1486 y Fy(will)h(be)f(close)h(to)f(its)h (mean)f(v)n(alue)g(with)g(high)g(probability)450 1577 y(\(by)j(the)h(la)o(w)g(of)g(lar)o(ge)f(numbers\),)f(and)i(thereby)e (gi)n(v)o(es)i(justi\002cation)f(to)h(the)g(use)h(of)e(local)h(e)o (xpansions)450 1669 y(for)h(the)g(probabilities)f(of)h(the)g (\002ndings.)450 1810 y(Due)k(to)g(space)h(constraints,)f(the)g (detailed)g(proofs)f(of)h(the)g(theorems)f(gi)n(v)o(en)g(in)h(this)h (section)f(are)g(de-)450 1901 y(ferred)f(to)i(the)f(long)g(v)o(ersion)f (of)i(this)g(paper)m(,)f(and)f(we)i(will)h(instead)e(only)g(sk)o(etch)g (the)g(intuitions)g(for)450 1993 y(the)c(proofs)f(here.)450 2174 y Fz(Theor)o(em)h(1)41 b Fx(Let)21 b Fv(K)26 b Fx(\(the)19 b(number)h(of)g(\002ndings\))e(be)i(\002xed,)f(and)g(suppose)g Fr(j)p Fv(\022)2711 2186 y Fs(ij)2769 2174 y Fr(j)24 b(\024)2924 2142 y Fs(\034)p 2913 2156 59 4 v 2913 2203 a(N)3002 2174 y Fx(for)d(all)f Fv(i;)14 b(j)25 b Fx(for)450 2282 y(some)16 b(\002xed)f(constant)g Fv(\034)9 b Fx(.)25 b(Then)16 b(the)f(absolute)g(err)l(or)i(of)f(the)g(MF)p Fu(\()p Fv(k)s Fu(\))h Fx(appr)l(oximation)d(is)j Fv(O)3084 2215 y Ft(\000)3251 2249 y Fl(1)p 3132 2263 270 4 v 3132 2314 a Fs(N)3191 2297 y Fo(\()p Fp(k)q Fo(+1\))p Fp(=)p Fo(2)3412 2215 y Ft(\001)450 2393 y Fx(for)k Fv(k)i Fx(odd)d(and)f Fv(O)1004 2325 y Ft(\000)1171 2360 y Fl(1)p 1052 2374 V 1052 2425 a Fs(N)1111 2408 y Fo(\()p Fp(k)q(=)p Fo(2+1\))1332 2325 y Ft(\001)1391 2393 y Fx(for)i Fv(k)i Fx(e)o(ven.)450 2586 y Fz(Pr)o(oof)d(intuition.)28 b Fy(First)22 b(consider)e(the)h (case)h(of)f(odd)f Fv(k)s Fy(.)29 b(Since)21 b Fr(j)p Fv(\022)2389 2598 y Fs(ij)2448 2586 y Fr(j)k(\024)2606 2553 y Fs(\034)p 2595 2567 59 4 v 2595 2614 a(N)2664 2586 y Fy(,)d(the)f(quantity)f Fv(\017)3158 2598 y Fs(i)3210 2586 y Fu(=)25 b Fv(z)3339 2598 y Fs(i)3385 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000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000 %%EndPreview save /d_sv_obj exch def userdict /IslandDrawDict 300 dict dup begin put /bdef {bind def} bind def /E {exch} bdef /FF {findfont} bdef /MF {makefont} bdef /RO {rotate} bdef /SC {scale} bdef /SF {setfont} bdef /SG {setgray} bdef /TR {translate} bdef /bp {lj lw rgb} bdef /bpbw {lj lw setgray} bdef /c {curveto} bdef /cl {closepath} bdef /fi {eofill} bdef /g {setgray} bdef /gr {grestore} bdef /gs {gsave} bdef /l {lineto} bdef /lj {setlinejoin} bdef /lw {setlinewidth} bdef /m {moveto} bdef /n {newpath} bdef /nx {/x E def} bdef /r {rmoveto} bdef /rl {rlineto} bdef /rgb {setrgbcolor} bdef /s {show} bdef /sd {setdash} bdef /sp {x 0 rmoveto} bdef /ss {currentpoint pop E m} bdef /st {stroke} bdef %% pattern stuff /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 /savemat matrix def /topmat matrix def /patmat matrix def %% catch nocurrentpoint error for: pathbbox /ncpoint errordict /nocurrentpoint get def errordict begin /nocurrentpoint { dup /pathbbox load eq {pop 0 0 1 1} {ncpoint} ifelse } bdef end /ar { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll TR RO SC n 0 0 1 5 3 roll arc setmatrix } bdef /arn { %% sa ea sx sy rot tx ty TR RO SC matrix currentmatrix 8 1 roll n 0 0 1 5 3 roll arcn setmatrix } bdef /el { %% sx sy rot tx ty matrix currentmatrix 6 1 roll TR RO SC n 0 0 1 0 360 arc setmatrix cl } bdef /image_raster { %% sw sh sd dw dh xs ys TR SC /sd E def /sh E def /sw E def /imagebuf sw sd mul 7 add 8 idiv string def sw sh sd [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop} image } bdef /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 } bdef /dither_color_raster { % bool sw sh sd dw dh xs ys TR SC /sd E def /sh E def /sw E def sd 8 eq and { /imagebuf 3 string def /grayval 1 string def sw sh sd [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop pop imagebuf 0 get 0.299 mul imagebuf 1 get 0.587 mul add imagebuf 2 get 0.114 mul add cvi grayval exch 0 exch put grayval } image } { /imagebuf sw 3 mul sd mul 7 add 8 idiv string def sh { currentfile imagebuf readhexstring pop pop } repeat } ifelse } bdef /image_color_raster { % bool sw sh sd dw dh xs ys /colorimage where not { dither_color_raster } { pop TR SC /sd E def /sh E def /sw E def pop /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 } ifelse } bdef /patpath { /inv E def topmat setmatrix pathbbox %% get lo - hi indecies /hy E dp_h div floor cvi def /hx E dp_w div floor cvi def /ly E dp_h div floor cvi def /lx E dp_w div floor cvi def lx 1 hx { dp_w mul ly 1 hy { dp_h mul E dup 3 1 roll E patmat currentmatrix pop TR dp_pw dp_ph inv dp_mat dp_proc imagemask patmat setmatrix } for pop } for } bdef % setpattern brush of patterns instead of gray /setpattern { /blue E def /green E def /red E def /freq E def /bwidth E def /bpside E def /bstring E def /onbits 0 def /offbits 0 def freq 0 {/y E def /x E 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 } bdef /dmatrix matrix def /dpi 72 0 dmatrix defaultmatrix dtransform dup mul E dup mul add sqrt def /B {gs bp st gr} bdef %% brush: gr lw lj /Bbw {gs bpbw st gr} bdef %% brush: gr lw lj /F {gs rgb eofill gr} bdef %% fill: gr /Fbw {gs setgray eofill gr} bdef %% fill: gr /PB {gs lj lw setpattern st gr} bdef /PF {gs eoclip patpath gr} bdef /BB {gs rgb lj lw strokepath clip patpath gr} bdef /xdef {exch def} bdef /clip_region { /ht xdef /wd xdef /bm xdef /lm xdef newpath lm bm moveto 0 ht rlineto wd 0 rlineto 0 ht neg rlineto closepath clip } bdef %! Island text prolog Version 3.1 %% %%BeginProlog /reencode_small_dict 12 dict def /ReencodeSmall { reencode_small_dict begin /new_codes_and_names exch def /new_font_name exch def /base_font_name exch def /base_font_dict base_font_name findfont def /newfont base_font_dict maxlength dict def base_font_dict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch 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 /quotesinglbase 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 exch dup (ZapfDingbats) eq { cvn exch cvn extended_Zapf ReencodeSmall } { dup (Symbol) eq { cvn exch cvn extended_Symbol ReencodeSmall } { cvn exch cvn extended_Standard ReencodeSmall } ifelse } ifelse } bind def /extend_font_name { % stack: font_name_string dup length 1 add string /extended_font_name exch def extended_font_name 0 (_) putinterval extended_font_name 1 3 -1 roll putinterval extended_font_name } bind def /gf { /f exch def f cvn where { f exch begin cvn load exec setfont end } { f 0 f length 8 sub getinterval dup /localfont exch extend_font_name def localfont extend_font localfont findfont /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 ] makefont dup f cvn exch def setfont } ifelse } bind def /gfns { /f exch def f cvn where { f exch begin cvn load exec setfont end } { f 0 f length 8 sub getinterval cvn findfont /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 ] makefont dup f cvn exch def setfont } ifelse } bind def /ul { % space drop thickness gs currentpoint currentlinewidth currentpoint n m 6 -3 roll lw 0 exch r 0 rl st lw m gr } bind def /nxtab { currentpoint pop 1000.0 mul cvi tab mod tab exch sub 1000.0 div 0 rmoveto } bind def /nx { /x exch def } bind def 0. nx %%EndProlog gsave 2.83465 -2.83465 scale 0 -279.4 translate topmat currentmatrix pop n 7.196 64.585 m 7.196 217.06 l 210.51 217.06 l 210.51 64.585 l 7.196 64.585 l cl 1 1 1 F n 32.779 199.11 m 32.779 74.907 l 190.29 74.907 l 190.29 199.11 l 32.779 199.11 l cl 1 1 1 F n 32.779 199.11 m 32.779 74.907 l 190.29 74.907 l 190.29 199.11 l 32.779 199.11 l gsave 1 1 1 0.176 1 B grestore n 32.779 199.11 m 190.29 199.11 l gsave 0 0 0 0.176 1 B grestore n 32.779 74.907 m 190.29 74.907 l gsave 0 0 0 0.176 1 B grestore n 32.779 199.11 m 32.779 74.907 l gsave 0 0 0 0.176 1 B grestore n 190.29 199.11 m 190.29 74.907 l gsave 0 0 0 0.176 1 B grestore n 32.779 199.11 m 190.29 199.11 l gsave 0 0 0 0.176 1 B grestore n 32.779 199.11 m 32.779 74.907 l gsave 0 0 0 0.176 1 B grestore n 32.779 199.11 m 32.779 198.32 l gsave 0 0 0 0.176 1 B grestore n 32.779 74.907 m 32.779 75.701 l gsave 0 0 0 0.176 1 B grestore n 32.779 199.11 m 32.779 197.53 l gsave 0 0 0 0.176 1 B grestore n 32.779 74.907 m 32.779 76.494 l gsave 0 0 0 0.176 1 B grestore n 56.474 199.11 m 56.474 198.32 l gsave 0 0 0 0.176 1 B grestore n 56.474 74.907 m 56.474 75.701 l gsave 0 0 0 0.176 1 B grestore n 70.35 199.11 m 70.35 198.32 l gsave 0 0 0 0.176 1 B grestore n 70.35 74.907 m 70.35 75.701 l gsave 0 0 0 0.176 1 B grestore n 80.198 199.11 m 80.198 198.32 l gsave 0 0 0 0.176 1 B grestore n 80.198 74.907 m 80.198 75.701 l gsave 0 0 0 0.176 1 B grestore n 87.842 199.11 m 87.842 198.32 l gsave 0 0 0 0.176 1 B grestore n 87.842 74.907 m 87.842 75.701 l gsave 0 0 0 0.176 1 B grestore n 94.074 199.11 m 94.074 198.32 l gsave 0 0 0 0.176 1 B grestore n 94.074 74.907 m 94.074 75.701 l gsave 0 0 0 0.176 1 B grestore n 99.336 199.11 m 99.336 198.32 l gsave 0 0 0 0.176 1 B grestore n 99.336 74.907 m 99.336 75.701 l gsave 0 0 0 0.176 1 B grestore n 103.89 199.11 m 103.89 198.32 l gsave 0 0 0 0.176 1 B grestore n 103.89 74.907 m 103.89 75.701 l gsave 0 0 0 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32.779 185.33 m 33.573 185.33 l gsave 0 0 0 0.176 1 B grestore n 190.29 185.33 m 189.5 185.33 l gsave 0 0 0 0.176 1 B grestore n 32.779 185.33 m 34.366 185.33 l gsave 0 0 0 0.176 1 B grestore n 190.29 185.33 m 188.71 185.33 l gsave 0 0 0 0.176 1 B grestore n 32.779 181.15 m 33.573 181.15 l gsave 0 0 0 0.176 1 B grestore n 190.29 181.15 m 189.5 181.15 l gsave 0 0 0 0.176 1 B grestore n 32.779 178.74 m 33.573 178.74 l gsave 0 0 0 0.176 1 B grestore n 190.29 178.74 m 189.5 178.74 l gsave 0 0 0 0.176 1 B grestore n 32.779 177.01 m 33.573 177.01 l gsave 0 0 0 0.176 1 B grestore n 190.29 177.01 m 189.5 177.01 l gsave 0 0 0 0.176 1 B grestore n 32.779 175.65 m 33.573 175.65 l gsave 0 0 0 0.176 1 B grestore n 190.29 175.65 m 189.5 175.65 l gsave 0 0 0 0.176 1 B grestore n 32.779 174.57 m 33.573 174.57 l gsave 0 0 0 0.176 1 B grestore n 190.29 174.57 m 189.5 174.57 l gsave 0 0 0 0.176 1 B grestore n 32.779 173.66 m 33.573 173.66 l gsave 0 0 0 0.176 1 B grestore n 190.29 173.66 m 189.5 173.66 l 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000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000 %%EndPreview save /d_sv_obj exch def userdict /IslandDrawDict 300 dict dup begin put /bdef {bind def} bind def /E {exch} bdef /FF {findfont} bdef /MF {makefont} bdef /RO {rotate} bdef /SC {scale} bdef /SF {setfont} bdef /SG {setgray} bdef /TR {translate} bdef /bp {lj lw rgb} bdef /bpbw {lj lw setgray} bdef /c {curveto} bdef /cl {closepath} bdef /fi {eofill} bdef /g {setgray} bdef /gr {grestore} bdef /gs {gsave} bdef /l {lineto} bdef /lj {setlinejoin} bdef /lw {setlinewidth} bdef /m {moveto} bdef /n {newpath} bdef /nx {/x E def} bdef /r {rmoveto} bdef /rl {rlineto} bdef /rgb {setrgbcolor} bdef /s {show} bdef /sd {setdash} bdef /sp {x 0 rmoveto} bdef /ss {currentpoint pop E m} bdef /st {stroke} bdef %% pattern stuff /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 /savemat matrix def /topmat matrix def /patmat matrix def %% catch nocurrentpoint error for: pathbbox /ncpoint errordict /nocurrentpoint get def errordict begin /nocurrentpoint { dup /pathbbox load eq {pop 0 0 1 1} {ncpoint} ifelse } bdef end /ar { %% sa ea sx sy rot tx ty matrix currentmatrix 8 1 roll TR RO SC n 0 0 1 5 3 roll arc setmatrix } bdef /arn { %% sa ea sx sy rot tx ty TR RO SC matrix currentmatrix 8 1 roll n 0 0 1 5 3 roll arcn setmatrix } bdef /el { %% sx sy rot tx ty matrix currentmatrix 6 1 roll TR RO SC n 0 0 1 0 360 arc setmatrix cl } bdef /image_raster { %% sw sh sd dw dh xs ys TR SC /sd E def /sh E def /sw E def /imagebuf sw sd mul 7 add 8 idiv string def sw sh sd [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop} image } bdef /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 } bdef /dither_color_raster { % bool sw sh sd dw dh xs ys TR SC /sd E def /sh E def /sw E def sd 8 eq and { /imagebuf 3 string def /grayval 1 string def sw sh sd [sw 0 0 sh 0 0] { currentfile imagebuf readhexstring pop pop imagebuf 0 get 0.299 mul imagebuf 1 get 0.587 mul add imagebuf 2 get 0.114 mul add cvi grayval exch 0 exch put grayval } image } { /imagebuf sw 3 mul sd mul 7 add 8 idiv string def sh { currentfile imagebuf readhexstring pop pop } repeat } ifelse } bdef /image_color_raster { % bool sw sh sd dw dh xs ys /colorimage where not { dither_color_raster } { pop TR SC /sd E def /sh E def /sw E def pop /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 } ifelse } bdef /patpath { /inv E def topmat setmatrix pathbbox %% get lo - hi indecies /hy E dp_h div floor cvi def /hx E dp_w div floor cvi def /ly E dp_h div floor cvi def /lx E dp_w div floor cvi def lx 1 hx { dp_w mul ly 1 hy { dp_h mul E dup 3 1 roll E patmat currentmatrix pop TR dp_pw dp_ph inv dp_mat dp_proc imagemask patmat setmatrix } for pop } for } bdef % setpattern brush of patterns instead of gray /setpattern { /blue E def /green E def /red E def /freq E def /bwidth E def /bpside E def /bstring E def /onbits 0 def /offbits 0 def freq 0 {/y E def /x E 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 } bdef /dmatrix matrix def /dpi 72 0 dmatrix defaultmatrix dtransform dup mul E dup mul add sqrt def /B {gs bp st gr} bdef %% brush: gr lw lj /Bbw {gs bpbw st gr} bdef %% brush: gr lw lj /F {gs rgb eofill gr} bdef %% fill: gr /Fbw {gs setgray eofill gr} bdef %% fill: gr /PB {gs lj lw setpattern st gr} bdef /PF {gs eoclip patpath gr} bdef /BB {gs rgb lj lw strokepath clip patpath gr} bdef /xdef {exch def} bdef /clip_region { /ht xdef /wd xdef /bm xdef /lm xdef newpath lm bm moveto 0 ht rlineto wd 0 rlineto 0 ht neg rlineto closepath clip } bdef %! Island text prolog Version 3.1 %% %%BeginProlog /reencode_small_dict 12 dict def /ReencodeSmall { reencode_small_dict begin /new_codes_and_names exch def /new_font_name exch def /base_font_name exch def /base_font_dict base_font_name findfont def /newfont base_font_dict maxlength dict def base_font_dict { exch dup /FID ne { dup /Encoding eq { exch dup length array copy newfont 3 1 roll put } { exch 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 /quotesinglbase 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 exch dup (ZapfDingbats) eq { cvn exch cvn extended_Zapf ReencodeSmall } { dup (Symbol) eq { cvn exch cvn extended_Symbol ReencodeSmall } { cvn exch cvn extended_Standard ReencodeSmall } ifelse } ifelse } bind def /extend_font_name { % stack: font_name_string dup length 1 add string /extended_font_name exch def extended_font_name 0 (_) putinterval extended_font_name 1 3 -1 roll putinterval extended_font_name } bind def /gf { /f exch def f cvn where { f exch begin cvn load exec setfont end } { f 0 f length 8 sub getinterval dup /localfont exch extend_font_name def localfont extend_font localfont findfont /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 ] makefont dup f cvn exch def setfont } ifelse } bind def /gfns { /f exch def f cvn where { f exch begin cvn load exec setfont end } { f 0 f length 8 sub getinterval cvn findfont /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 ] makefont dup f cvn exch def setfont } ifelse } bind def /ul { % space drop thickness gs currentpoint currentlinewidth currentpoint n m 6 -3 roll lw 0 exch r 0 rl st lw m gr } bind def /nxtab { currentpoint pop 1000.0 mul cvi tab 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/setmatrix ldef /rc {rectclip} bdef /rf {rectfill} bdef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS { /FontSize xstore %save size off stack findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont }bdef /reencode { exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop } bdef /isroman { findfont /CharStrings get /Agrave known } bdef /FMSR { 3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS } bdef /csm { 1 dpi2point div -1 dpi2point div scale neg translate landscapeMode eq {90 rotate} if } bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L { lineto stroke } bdef /MP { 3 1 roll moveto 1 sub {rlineto} repeat } bdef /AP { {rlineto} repeat } bdef /PP { closepath eofill } bdef /DP { closepath stroke } bdef /MR { 4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath } bdef /FR { MR stroke } bdef /PR { MR fill } bdef /L1i { { currentfile picstr readhexstring pop } image } bdef /tMatrix matrix def /MakeOval { newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix } bdef /FO { MakeOval stroke } bdef /PO { MakeOval fill } bdef /PD { currentlinecap 1 setlinecap 3 1 roll 2 copy moveto lineto stroke setlinecap } bdef /FA { newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke } bdef /PA { newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill } bdef /FAn { newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke } bdef /PAn { newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill } bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR { /vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath } bdef /FRR { MRR stroke } bdef /PRR { MRR fill } bdef /MlrRR { /lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath } bdef /FlrRR { MlrRR stroke } bdef /PlrRR { MlrRR fill } bdef /MtbRR { /lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath } bdef /FtbRR { MtbRR stroke } bdef /PtbRR { MtbRR fill } bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 45 193 549 610 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 335 24 6040 5000 MR c np 93 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5186 PR 6 w 0 4225 5360 0 0 -4225 899 4614 4 MP PP -5360 0 0 4225 5360 0 0 -4225 899 4614 5 MP stroke 4 w DO SO 6 w 0 sg 899 4614 mt 6259 4614 L 899 389 mt 6259 389 L 899 4614 mt 899 389 L 6259 4614 mt 6259 389 L 899 4614 mt 6259 4614 L 899 4614 mt 899 389 L 899 4614 mt 899 4560 L 899 389 mt 899 443 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 4760 mt (0) s 1435 4614 mt 1435 4560 L 1435 389 mt 1435 443 L 1402 4760 mt (1) s 1971 4614 mt 1971 4560 L 1971 389 mt 1971 443 L 1938 4760 mt (2) s 2507 4614 mt 2507 4560 L 2507 389 mt 2507 443 L 2474 4760 mt (3) s 3043 4614 mt 3043 4560 L 3043 389 mt 3043 443 L 3010 4760 mt (4) s 3579 4614 mt 3579 4560 L 3579 389 mt 3579 443 L 3546 4760 mt (5) s 4115 4614 mt 4115 4560 L 4115 389 mt 4115 443 L 4082 4760 mt (6) s 4651 4614 mt 4651 4560 L 4651 389 mt 4651 443 L 4618 4760 mt (7) s 5187 4614 mt 5187 4560 L 5187 389 mt 5187 443 L 5154 4760 mt (8) s 5723 4614 mt 5723 4560 L 5723 389 mt 5723 443 L 5690 4760 mt (9) s 6259 4614 mt 6259 4560 L 6259 389 mt 6259 443 L 6193 4760 mt (10) s 899 4614 mt 953 4614 L 6259 4614 mt 6205 4614 L 596 4658 mt (10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 80 FMSR 729 4584 mt (-45) s 899 4473 mt 926 4473 L 6259 4473 mt 6232 4473 L 899 4332 mt 926 4332 L 6259 4332 mt 6232 4332 L 899 4192 mt 926 4192 L 6259 4192 mt 6232 4192 L 899 4051 mt 926 4051 L 6259 4051 mt 6232 4051 L 899 3910 mt 926 3910 L 6259 3910 mt 6232 3910 L 899 3769 mt 926 3769 L 6259 3769 mt 6232 3769 L 899 3628 mt 926 3628 L 6259 3628 mt 6232 3628 L 899 3487 mt 926 3487 L 6259 3487 mt 6232 3487 L 899 3347 mt 926 3347 L 6259 3347 mt 6232 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899 2783 mt 926 2783 L 6259 2783 mt 6232 2783 L 899 2642 mt 926 2642 L 6259 2642 mt 6232 2642 L 899 2502 mt 926 2502 L 6259 2502 mt 6232 2502 L 899 2361 mt 926 2361 L 6259 2361 mt 6232 2361 L 899 2220 mt 926 2220 L 6259 2220 mt 6232 2220 L 899 2079 mt 926 2079 L 6259 2079 mt 6232 2079 L 899 1938 mt 926 1938 L 6259 1938 mt 6232 1938 L 899 2502 mt 953 2502 L 6259 2502 mt 6205 2502 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 596 2546 mt (10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 80 FMSR 729 2472 mt (-30) s 899 2361 mt 926 2361 L 6259 2361 mt 6232 2361 L 899 2220 mt 926 2220 L 6259 2220 mt 6232 2220 L 899 2079 mt 926 2079 L 6259 2079 mt 6232 2079 L 899 1938 mt 926 1938 L 6259 1938 mt 6232 1938 L 899 1797 mt 926 1797 L 6259 1797 mt 6232 1797 L 899 1657 mt 926 1657 L 6259 1657 mt 6232 1657 L 899 1516 mt 926 1516 L 6259 1516 mt 6232 1516 L 899 1375 mt 926 1375 L 6259 1375 mt 6232 1375 L 899 1234 mt 926 1234 L 6259 1234 mt 6232 1234 L 899 1797 mt 953 1797 L 6259 1797 mt 6205 1797 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 596 1841 mt (10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 80 FMSR 729 1767 mt (-25) s 899 1657 mt 926 1657 L 6259 1657 mt 6232 1657 L 899 1516 mt 926 1516 L 6259 1516 mt 6232 1516 L 899 1375 mt 926 1375 L 6259 1375 mt 6232 1375 L 899 1234 mt 926 1234 L 6259 1234 mt 6232 1234 L 899 1093 mt 926 1093 L 6259 1093 mt 6232 1093 L 899 952 mt 926 952 L 6259 952 mt 6232 952 L 899 812 mt 926 812 L 6259 812 mt 6232 812 L 899 671 mt 926 671 L 6259 671 mt 6232 671 L 899 530 mt 926 530 L 6259 530 mt 6232 530 L 899 1093 mt 953 1093 L 6259 1093 mt 6205 1093 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 596 1137 mt (10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 80 FMSR 729 1063 mt (-20) s 899 952 mt 926 952 L 6259 952 mt 6232 952 L 899 812 mt 926 812 L 6259 812 mt 6232 812 L 899 671 mt 926 671 L 6259 671 mt 6232 671 L 899 530 mt 926 530 L 6259 530 mt 6232 530 L 899 389 mt 926 389 L 6259 389 mt 6232 389 L 899 389 mt 953 389 L 6259 389 mt 6205 389 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 596 433 mt (10) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 80 FMSR 729 359 mt (-15) s 899 4614 mt 6259 4614 L 899 389 mt 6259 389 L 899 4614 mt 899 389 L 6259 4614 mt 6259 389 L gs 899 389 5361 4226 MR c np DA 536 10 536 172 536 84 536 184 536 186 536 201 536 284 899 616 8 MP stroke SO 536 -316 536 -156 536 -183 536 -194 536 -92 536 -373 536 -51 536 -270 536 -35 899 3981 10 MP stroke 5360 0 899 2386 2 MP stroke gr %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 216 FMSR 3176 273 mt (Case 16) s 2404 4974 mt (#Exactly treated findings) s 541 2951 mt -90 rotate (likelihood) s 90 rotate end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument endTexFig 2040 951 a 11367087 9472573 2960179 12695879 35916840 40126873 startTexFig 2040 951 a %%BeginDocument: transform32cor.ps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: transform32cor.ps %%CreationDate: 01/02/ 0 19:02:22 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Pages: 1 %%BoundingBox: 45 193 546 610 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rc {rectclip} bdef /rf {rectfill} bdef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS { /FontSize xstore %save size off stack findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont }bdef /reencode { exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop } bdef /isroman { findfont /CharStrings get /Agrave known } bdef /FMSR { 3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS } bdef /csm { 1 dpi2point div -1 dpi2point div scale neg translate landscapeMode eq {90 rotate} if } bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L { lineto stroke } bdef /MP { 3 1 roll moveto 1 sub {rlineto} repeat } bdef /AP { {rlineto} repeat } bdef /PP { closepath eofill } bdef /DP { closepath stroke } bdef /MR { 4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath } bdef /FR { MR stroke } bdef /PR { MR fill } bdef /L1i { { currentfile picstr readhexstring pop } image } bdef /tMatrix matrix def /MakeOval { newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix } bdef /FO { MakeOval stroke } bdef /PO { MakeOval fill } bdef /PD { currentlinecap 1 setlinecap 3 1 roll 2 copy moveto lineto stroke setlinecap } bdef /FA { newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke } bdef /PA { newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill } bdef /FAn { newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke } bdef /PAn { newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill } bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR { /vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath } bdef /FRR { MRR stroke } bdef /PRR { MRR fill } bdef /MlrRR { /lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath } bdef /FlrRR { MlrRR stroke } bdef /PlrRR { MlrRR fill } bdef /MtbRR { /lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath } bdef /FtbRR { MtbRR stroke } bdef /PtbRR { MtbRR fill } bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 45 193 546 610 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 335 24 6006 5000 MR c np 85 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5186 PR 6 w 0 4225 5360 0 0 -4225 899 4614 4 MP PP -5360 0 0 4225 5360 0 0 -4225 899 4614 5 MP stroke 4 w DO SO 6 w 0 sg 899 4614 mt 6259 4614 L 899 389 mt 6259 389 L 899 4614 mt 899 389 L 6259 4614 mt 6259 389 L 899 4614 mt 6259 4614 L 899 4614 mt 899 389 L 899 4614 mt 899 4560 L 899 389 mt 899 443 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 866 4760 mt (0) s 1569 4614 mt 1569 4560 L 1569 389 mt 1569 443 L 1536 4760 mt (1) s 2239 4614 mt 2239 4560 L 2239 389 mt 2239 443 L 2206 4760 mt (2) s 2909 4614 mt 2909 4560 L 2909 389 mt 2909 443 L 2876 4760 mt (3) s 3579 4614 mt 3579 4560 L 3579 389 mt 3579 443 L 3546 4760 mt (4) s 4249 4614 mt 4249 4560 L 4249 389 mt 4249 443 L 4216 4760 mt (5) s 4919 4614 mt 4919 4560 L 4919 389 mt 4919 443 L 4886 4760 mt (6) s 5589 4614 mt 5589 4560 L 5589 389 mt 5589 443 L 5556 4760 mt (7) s 6259 4614 mt 6259 4560 L 6259 389 mt 6259 443 L 6226 4760 mt (8) s 899 4614 mt 926 4614 L 6259 4614 mt 6232 4614 L 899 4614 mt 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%%DocumentProcessColors: Cyan Magenta Yellow Black %%Pages: 1 %%BoundingBox: 45 193 549 610 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rc {rectclip} bdef /rf {rectfill} bdef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS { /FontSize xstore %save size off stack findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont }bdef /reencode { exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop } bdef /isroman { findfont /CharStrings get /Agrave known } bdef /FMSR { 3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS } bdef /csm { 1 dpi2point div -1 dpi2point div scale neg translate landscapeMode eq {90 rotate} if } bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L { lineto stroke } bdef /MP { 3 1 roll moveto 1 sub {rlineto} repeat } bdef /AP { {rlineto} repeat } bdef /PP { closepath eofill } bdef /DP { closepath stroke } bdef /MR { 4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath } bdef /FR { MR stroke } bdef /PR { MR fill } bdef /L1i { { currentfile picstr readhexstring pop } image } bdef /tMatrix matrix def /MakeOval { newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix } bdef /FO { MakeOval stroke } bdef /PO { MakeOval fill } bdef /PD { currentlinecap 1 setlinecap 3 1 roll 2 copy moveto lineto stroke setlinecap } bdef /FA { newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke } bdef /PA { newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill } bdef /FAn { newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke } bdef /PAn { newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill } bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR { /vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath } bdef /FRR { MRR stroke } bdef /PRR { MRR fill } bdef /MlrRR { /lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath } bdef /FlrRR { MlrRR stroke } bdef /PlrRR { MlrRR fill } bdef /MtbRR { /lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath } bdef /FtbRR { MtbRR stroke } bdef /PtbRR { MtbRR fill } bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 45 193 549 610 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 335 24 6040 5000 MR c np 93 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5186 PR 6 w 0 4225 5360 0 0 -4225 899 4614 4 MP PP -5360 0 0 4225 5360 0 0 -4225 899 4614 5 MP stroke 4 w DO SO 6 w 0 sg 899 4614 mt 6259 4614 L 899 389 mt 6259 389 L 899 4614 mt 899 389 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4614 mt 6259 389 L gs 899 389 5361 4226 MR c np DA 446 46 447 38 447 22 446 24 447 25 447 46 446 135 447 161 447 142 446 279 447 382 899 397 12 MP stroke SO 447 49 446 -41 447 -56 447 -76 446 -81 447 -267 447 -316 446 -252 447 -308 447 -349 446 -414 447 -238 899 4181 13 MP stroke 5360 0 899 1864 2 MP stroke gr %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 216 FMSR 3176 273 mt (Case 34) s 2404 4974 mt (#Exactly treated findings) s 541 2951 mt -90 rotate (likelihood) s 90 rotate end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument endTexFig 2040 2663 a 11367087 9472573 2960179 12695879 36114186 40126873 startTexFig 2040 2663 a %%BeginDocument: transform46cor.ps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: transform46cor.ps %%CreationDate: 01/02/ 0 18:56:44 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Pages: 1 %%BoundingBox: 45 193 549 610 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rc {rectclip} bdef /rf {rectfill} bdef /rm /rmoveto ldef /rl /rlineto ldef /s /show ldef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS { /FontSize xstore %save size off stack findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont }bdef /reencode { exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop } bdef /isroman { findfont /CharStrings get /Agrave known } bdef /FMSR { 3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS } bdef /csm { 1 dpi2point div -1 dpi2point div scale neg translate landscapeMode eq {90 rotate} if } bdef % line types: solid, dotted, dashed, dotdash /SO { [] 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L { lineto stroke } bdef /MP { 3 1 roll moveto 1 sub {rlineto} repeat } bdef /AP { {rlineto} repeat } bdef /PP { closepath eofill } bdef /DP { closepath stroke } bdef /MR { 4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath } bdef /FR { MR stroke } bdef /PR { MR fill } bdef /L1i { { currentfile picstr readhexstring pop } image } bdef /tMatrix matrix def /MakeOval { newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix } bdef /FO { MakeOval stroke } bdef /PO { MakeOval fill } bdef /PD { currentlinecap 1 setlinecap 3 1 roll 2 copy moveto lineto stroke setlinecap } bdef /FA { newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke } bdef /PA { newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill } bdef /FAn { newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke } bdef /PAn { newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill } bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR { /vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath } bdef /FRR { MRR stroke } bdef /PRR { MRR fill } bdef /MlrRR { /lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath } bdef /FlrRR { MlrRR stroke } bdef /PlrRR { MlrRR fill } bdef /MtbRR { /lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath } bdef /FtbRR { MtbRR stroke } bdef /PtbRR { MtbRR fill } bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 45 193 549 610 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 0216 7344 csm 335 24 6040 5000 MR c np 93 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1 j 1 sg 0 0 6918 5186 PR 6 w 0 4225 5360 0 0 -4225 899 4614 4 MP PP -5360 0 0 4225 5360 0 0 -4225 899 4614 5 MP stroke 4 w DO SO 6 w 0 sg 899 4614 mt 6259 4614 L 899 389 mt 6259 389 L 899 4614 mt 899 389 L 6259 4614 mt 6259 389 L 899 4614 mt 6259 4614 L 899 4614 mt 899 389 L 899 4614 mt 899 4560 L 899 389 mt 899 443 L 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