(original) (raw)

%!PS-Adobe-2.0 %%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software %%Title: chapter.dvi %%Pages: 31 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%EndComments %DVIPSCommandLine: dvips chapter.dvi %DVIPSParameters: dpi=300, comments removed %DVIPSSource: TeX output 1996.11.28:1611 %%BeginProcSet: tex.pro /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72 mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1} ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if} forall round exch round exch]setmatrix}N /@landscape{/isls true N}B /@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B /FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N /nn 0 N /IE 0 N /ctr 0 N /df-tail{ /nn 8 dict N nn begin /FontType 3 N /FontMatrix fntrx N /FontBBox FBB N string /base X array /BitMaps X /BuildChar{CharBuilder}N /Encoding IE N end dup{/foo setfont}2 array copy cvx N load 0 nn put /ctr 0 N[}B /df{ /sf 1 N /fntrx FMat N df-tail}B /dfs{div /sf X /fntrx[sf 0 0 sf neg 0 0] N df-tail}B /E{pop nn dup definefont setfont}B /ch-width{ch-data dup length 5 sub get}B /ch-height{ch-data dup length 4 sub get}B /ch-xoff{ 128 ch-data dup length 3 sub get sub}B /ch-yoff{ch-data dup length 2 sub get 127 sub}B /ch-dx{ch-data dup length 1 sub get}B /ch-image{ch-data dup type /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0 N /rw 0 N /rc 0 N /gp 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S dup /base get 2 index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx 0 ch-xoff ch-yoff ch-height sub ch-xoff ch-width add ch-yoff setcachedevice ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff .1 sub]{ch-image}imagemask restore}B /D{/cc X dup type /stringtype ne{]} if nn /base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{dup dup length 1 sub dup 2 index S get sf div put}if put /ctr ctr 1 add N}B /I{ cc 1 add D}B /bop{userdict /bop-hook known{bop-hook}if /SI save N @rigin 0 0 moveto /V matrix currentmatrix dup 1 get dup mul exch 0 get dup mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N /eop{SI restore userdict /eop-hook known{eop-hook}if showpage}N /@start{userdict /start-hook known{start-hook}if pop /VResolution X /Resolution X 1000 div /DVImag X /IE 256 array N 0 1 255{IE S 1 string dup 0 3 index put cvn put}for 65781.76 div /vsize X 65781.76 div /hsize X}N /p{show}N /RMat[1 0 0 -1 0 0]N /BDot 260 string N /rulex 0 N /ruley 0 N /v{/ruley X /rulex X V}B /V {}B /RV statusdict begin /product where{pop product dup length 7 ge{0 7 getinterval dup(Display)eq exch 0 4 getinterval(NeXT)eq or}{pop false} ifelse}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale rulex ruley false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR rulex ruley scale 1 1 false RMat{BDot}imagemask grestore}}ifelse B /QV{gsave newpath transform round exch round exch itransform moveto rulex 0 rlineto 0 ruley neg rlineto rulex neg 0 rlineto fill grestore}B /a{moveto}B /delta 0 N /tail {dup /delta X 0 rmoveto}B /M{S p delta add tail}B /b{S p tail}B /c{-4 M} B /d{-3 M}B /e{-2 M}B /f{-1 M}B /g{0 M}B /h{1 M}B /i{2 M}B /j{3 M}B /k{ 4 M}B /w{0 rmoveto}B /l{p -4 w}B /m{p -3 w}B /n{p -2 w}B /o{p -1 w}B /q{ p 1 w}B /r{p 2 w}B /s{p 3 w}B /t{p 4 w}B /x{0 S rmoveto}B /y{3 2 roll p a}B /bos{/SS save N}B /eos{SS restore}B end %%EndProcSet %%BeginProcSet: special.pro TeXDict begin /SDict 200 dict N SDict begin /@SpecialDefaults{/hs 612 N /vs 792 N /ho 0 N /vo 0 N /hsc 1 N /vsc 1 N /ang 0 N /CLIP 0 N /rwiSeen false N /rhiSeen false N /letter{}N /note{}N /a4{}N /legal{}N}B /@scaleunit 100 N /@hscale{@scaleunit div /hsc X}B /@vscale{@scaleunit div /vsc X}B /@hsize{/hs X /CLIP 1 N}B /@vsize{/vs X /CLIP 1 N}B /@clip{ /CLIP 2 N}B /@hoffset{/ho X}B /@voffset{/vo X}B /@angle{/ang X}B /@rwi{ 10 div /rwi X /rwiSeen true N}B /@rhi{10 div /rhi X /rhiSeen true N}B /@llx{/llx X}B /@lly{/lly X}B /@urx{/urx X}B /@ury{/ury X}B /magscale true def end /@MacSetUp{userdict /md known{userdict /md get type /dicttype eq{userdict begin md length 10 add md maxlength ge{/md md dup length 20 add dict copy def}if end md begin /letter{}N /note{}N /legal{} N /od{txpose 1 0 mtx defaultmatrix dtransform S atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{itransform lineto} }{6 -2 roll transform 6 -2 roll transform 6 -2 roll transform{ itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll curveto}}{{ closepath}}pathforall newpath counttomark array astore /gc xdf pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack}if}N /txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 -1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop 90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr 2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 -1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S TR}if}N /cp {pop pop showpage pm restore}N end}if}if}N /normalscale{Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale}if 0 setgray} N /psfts{S 65781.76 div N}N /startTexFig{/psf$SavedState save N userdict maxlength dict begin /magscale true def normalscale currentpoint TR /psf$ury psfts /psf$urx psfts /psf$lly psfts /psf$llx psfts /psf$y psfts /psf$x psfts currentpoint /psf$cy X /psf$cx X /psf$sx psf$x psf$urx psf$llx sub div N /psf$sy psf$y psf$ury psf$lly sub div N psf$sx psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub TR /showpage{}N /erasepage{}N /copypage{}N /p 3 def @MacSetUp}N /doclip{ psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath moveto}N /endTexFig{end psf$SavedState restore}N /@beginspecial{SDict begin /SpecialSave save N gsave normalscale currentpoint TR @SpecialDefaults count /ocount X /dcount countdictstack N}N /@setspecial {CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR }{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip}if /showpage{}N /erasepage{}N /copypage{}N newpath }N /@endspecial{count ocount sub{pop}repeat countdictstack dcount sub{ end}repeat grestore SpecialSave restore end}N /@defspecial{SDict begin} N /@fedspecial{end}B /li{lineto}B /rl{rlineto}B /rc{rcurveto}B /np{ /SaveX currentpoint /SaveY X N 1 setlinecap newpath}N /st{stroke SaveX SaveY moveto}N /fil{fill SaveX SaveY moveto}N /ellipse{/endangle X /startangle X /yrad X /xrad X /savematrix matrix currentmatrix N TR xrad yrad scale 0 0 1 startangle endangle arc savematrix setmatrix}N end %%EndProcSet TeXDict begin 40258431 52099146 1000 300 300 (chapter.dvi) @start /Fa 39 122 df<000FE000007FF80000F81C0001E07C0003E07C0007C07C0007 C07C0007C0380007C0000007C0000007C0000007C1FE00FFFFFE00FFFFFE0007C03E0007 C03E0007C03E0007C03E0007C03E0007C03E0007C03E0007C03E0007C03E0007C03E0007 C03E0007C03E0007C03E0007C03E0007C03E0007C03E003FF9FFC03FF9FFC01A20809F1D >12 D<0030006000C00180038007000F000E001E001C003C003C00380078007800780078 00F800F000F000F000F000F000F000F000F000F000F800780078007800780038003C003C 001C001E000E000F0007000380018000C0006000300C2D7CA114>40 DI<387CFEFEFE7C3807077C 860F>46 D<01FC0007FF001F07C01E03C03E03E07C01F07C01F07C01F0FC01F8FC01F8FC 01F8FC01F8FC01F8FC01F8FC01F8FC01F8FC01F8FC01F8FC01F8FC01F8FC01F87C01F07C 01F07C01F03E03E01E03C01F8FC007FF0001FC00151D7E9C1A>48 D<00700000F00007F000FFF000F9F00001F00001F00001F00001F00001F00001F00001F0 0001F00001F00001F00001F00001F00001F00001F00001F00001F00001F00001F00001F0 0001F00001F00001F0007FFFC07FFFC0121D7D9C1A>I<03FC001FFF80381FC07C07E0FE 03F0FE03F0FE03F8FE01F87C01F83801F80003F80003F00003F00007E0000FC0000F0000 1E00003C0000700000E00001C0180380180600180C00381FFFF03FFFF07FFFF0FFFFF0FF FFF0151D7E9C1A>I<03FC000FFF801C0FC03C07E07E03F07E03F07E03F07E07F03C07E0 0007E0000FC0003F8003FE0003FC00000F800007C00003E00003F00003F83803F87C03F8 FE03F8FE03F8FE03F0FC03F07807E03C0FC01FFF8003FC00151D7E9C1A>I<0001C00003 C00007C00007C0000FC0001FC0003BC00073C00063C000C3C00183C00383C00703C00E03 C00C03C01803C03803C07003C0E003C0FFFFFEFFFFFE0007C00007C00007C00007C00007 C00007C000FFFE00FFFE171D7F9C1A>I<1C00E01FFFE01FFFC01FFF801FFF001FFC001F C00018000018000018000018000019FE001FFF801E07C01803E01001F00001F00001F800 01F87801F8FC01F8FC01F8FC01F8FC01F07803F07003E03C0FC00FFF0003FC00151D7E9C 1A>I<003F0001FFC007C0E00F81E01F03F01E03F03E03F07C03F07C01E07C0000FC1000 FCFF00FDFFC0FD03E0FE01F0FE01F0FC01F8FC01F8FC01F8FC01F87C01F87C01F87C01F8 3C01F03E01F01E03E00F07C007FF8001FE00151D7E9C1A>I<6000007FFFF87FFFF87FFF F07FFFE07FFFC0E00180C00300C00300C00600000C0000180000380000300000700000F0 0000F00001E00001E00003E00003E00003E00003E00007E00007E00007E00007E00007E0 0003C000018000151E7D9D1A>I<01FE000FFF801E07C03801E03800F07800F07800F07C 00F07F00F07FC1E03FE3C01FFF800FFE0007FF8007FFC01FFFE03C3FF0780FF07803F8F0 01F8F000F8F00078F00078F000707800707C00E03E03C00FFF8003FC00151D7E9C1A>I< 01FC000FFF001F07803E03C07C03E07C01E0FC01F0FC01F0FC01F0FC01F8FC01F8FC01F8 FC01F87C03F87C03F83E05F81FFDF807F9F80041F80001F03C01F07E01F07E03E07E03E0 7E03C03C0780381F001FFC0007F000151D7E9C1A>I<0007FC02003FFF0E00FE03DE03F0 00FE07E0003E0FC0001E1F80001E3F00000E3F00000E7F0000067E0000067E000006FE00 0000FE000000FE000000FE000000FE000000FE000000FE0000007E0000007E0000067F00 00063F0000063F00000C1F80000C0FC0001807E0003803F0007000FE01C0003FFF800007 FC001F1F7D9E26>67 DI75 D<03FC080FFF381E03F83800F8700078700038F00038F00018F0 0018F80000FC00007FC0007FFE003FFF801FFFC00FFFE007FFF000FFF80007F80000FC00 007C00003CC0003CC0003CC0003CE00038E00078F80070FE01E0EFFFC081FF00161F7D9E 1D>83 D<7FFFFFFC7FFFFFFC7C07E07C7007E01C6007E00C6007E00CE007E00EC007E006 C007E006C007E006C007E0060007E0000007E0000007E0000007E0000007E0000007E000 0007E0000007E0000007E0000007E0000007E0000007E0000007E0000007E0000007E000 0007E0000007E00003FFFFC003FFFFC01F1E7E9D24>I<020007000F803FE07DF0F078E0 3880080D087A9F1A>94 D<07FC001FFF803F07C03F03E03F01F03F01F00C01F00001F000 3FF007FDF01F81F03E01F07C01F0F801F0F801F0F801F0FC02F07E0CF03FF87E0FE03E17 147F9319>97 D<01FE0007FF801F0FC03E0FC03E0FC07C0FC07C0300FC0000FC0000FC00 00FC0000FC0000FC00007C00007E00003E00603F00C01F81C007FF0001FC0013147E9317 >99 D<01FE0007FF800F83C01E01E03E00F07C00F07C00F8FC00F8FFFFF8FFFFF8FC0000 FC0000FC00007C00007C00003E00181E00180F807007FFE000FF8015147F9318>101 D<03FC3C0FFFFE1E079E3C03DE7C03E07C03E07C03E07C03E07C03E03C03C01E07801FFF 0013FC003000003000003800003FFF801FFFF00FFFF81FFFFC78007C70003EF0001EF000 1EF0001E78003C78003C3F01F80FFFE001FF00171E7F931A>103 DI<1C003E00 7F007F007F003E001C00000000000000000000000000FF00FF001F001F001F001F001F00 1F001F001F001F001F001F001F001F001F001F001F00FFE0FFE00B217EA00E>I108 DI< FE0FC0FE3FE01E61F01EC0F81E80F81F00F81F00F81F00F81F00F81F00F81F00F81F00F8 1F00F81F00F81F00F81F00F81F00F81F00F8FFE7FFFFE7FF18147D931D>I<01FF0007FF C01F83F03E00F83E00F87C007C7C007CFC007EFC007EFC007EFC007EFC007EFC007E7C00 7C7C007C3E00F83E00F81F83F007FFC001FF0017147F931A>II114 D<0FE63FFE701E600EE006E006F800FFC07FF83FFC1FFE03FE001FC0 07C007E007F006F81EFFFCC7F010147E9315>I<0300030003000300070007000F000F00 3F00FFFCFFFC1F001F001F001F001F001F001F001F001F001F001F061F061F061F061F06 0F8C07F803F00F1D7F9C14>IIIIII E /Fb 5 95 df<00300000300000300000300000 3000003000003000003000003000003000003000FFFFFCFFFFFC00300000300000300000 300000300000300000300000300000300000300000300016187E931B>43 D<06000E00FE000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E 000E000E00FFE00B157D9412>49 D<0F8030E040708030C038E038403800380070007000 6000C00180030006000C08080810183FF07FF0FFF00D157E9412>I61 D<08001C0036006300808009057C9612>94 D E /Fc 15 126 df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d 5 121 df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e 27 121 df<0000F8000306000406000803001003002003004007004007 00800700800601000E01000C0107F80104700207D802001C02001C02001E04001E04001E 04001E04001E08003C08003C08003C0800781800701400F01400E01201C0218700207C00 20000020000040000040000040000040000080000080000080000018297F9F1A>12 D<007C018007000E001C003C003800780078007FF0F000F000F000700070007000300038 000C1807E00E147E9312>15 D<1E07C023186023A03043C0304380384380388700700700 700700700700700E00E00E00E00E00E00E00E01C01C01C01C01C01C01C01C03803801803 80000380000380000700000700000700000700000E00000E00000E00000C00151E7E9317 >17 D<007FFE01FFFE07FFFE0F07801E03801C01C03801C07001C07001C07001C0E00380 E00380E00380E00700E00700E00E00600C003018001860000F800017147E931A>27 D<70F8F8F87005057C840D>58 D<70F0F8F878080808101010202040050E7C840D>I<00 00400000C0000180000180000180000300000300000300000600000600000C00000C0000 0C0000180000180000180000300000300000600000600000600000C00000C00000C00001 80000180000180000300000300000600000600000600000C00000C00000C000018000018 0000300000300000300000600000600000600000C00000C00000122D7EA117>61 D<000002000000060000000E0000000E0000001E0000001F0000002F0000006F0000004F 0000008F0000008F0000010F0000030F0000020F0000040F8000040F8000080780001807 80001007800020078000200780007FFF800080078000800780010007C0010003C0020003 C0040003C0040003C00C0003C03C0007C0FF003FFC1E207E9F22>65 D<01FFFFE0001E0078001E003C001E001C001E001E003C001E003C001E003C001E003C00 1E0078003C0078003C00780078007800F000F003C000FFFF0000F007C000F000E001E000 F001E0007801E0007801E0007803C0007803C0007803C0007803C00070078000F0078001 E0078003C0078007800F001E00FFFFF0001F1F7E9E22>I<00007F00800003C0C180000E 00230000380017000070000F0000E0000F0001C0000600038000060007000006000F0000 06000E000004001E000004003C000000003C000000007800000000780000000078000000 007800000000F000000000F000000000F000000000F00000000070000020007000002000 70000020007000004000380000800038000080001C000100000E00060000070018000001 C0600000007F80000021217F9F21>I<01FFF0FFF8001F000F80001E000F00001E000F00 001E000F00003C001E00003C001E00003C001E00003C001E000078003C000078003C0000 78003C000078003C0000F000780000FFFFF80000F000780000F000780001E000F00001E0 00F00001E000F00001E000F00003C001E00003C001E00003C001E00003C001E000078003 C000078003C000078003C000078003C0000F8007C000FFF87FFC00251F7E9E26>72 D<01FFF0001F00001E00001E00001E00003C00003C00003C00003C000078000078000078 0000780000F00000F00000F00000F00001E00001E00001E00001E00003C00003C00003C0 0003C0000780000780000780000780000F8000FFF000141F7E9E14>I<01FFF00FF8001F 0003E0001E000380001E000200001E000400003C001000003C002000003C004000003C01 8000007802000000780400000078080000007838000000F078000000F0F8000000F13C00 0000F43C000001E81E000001F01E000001E01F000001E00F000003C00F000003C0078000 03C007800003C007C000078003C000078003C000078001E000078001E0000F8001F000FF F80FFE00251F7E9E27>75 D<01FFFFE0001E0078001E001C001E000E001E000F003C000F 003C000F003C000F003C000F0078001E0078001E0078003C0078007800F000E000F003C0 00FFFE0000F0000001E0000001E0000001E0000001E0000003C0000003C0000003C00000 03C00000078000000780000007800000078000000F800000FFF80000201F7E9E1D>80 D<00FFF01FF8000FC00780000F80060000078004000007C008000007C010000003C02000 0003E040000001E0C0000001F180000001F300000000F200000000FC0000000078000000 007C000000007C000000007C00000000BE000000011E000000021F000000041F0000000C 0F000000180F80000010078000002007C000004007C000008003C000010003E000070001 E0001F0003F000FFC01FFE00251F7F9E26>88 DI<00007C0000CE00019E00039E00030C000700000700000700000700000E 00000E00000E0000FFF0000E00000E00001C00001C00001C00001C00001C000038000038 0000380000380000380000700000700000700000700000700000E00000E00000E00000E0 0000C00001C000318000798000F300006200003C000017297E9F16>102 D<001E3000713800E0F001C0700380700780700700E00F00E00F00E00F00E01E01C01E01 C01E01C01E01C01E03801E03800E07800E0B8006170001E700000700000700000E00000E 00300E00781C00F038006070003FC000151D809316>I<00E001E001E000C00000000000 0000000000000000000E00130023804380438043808700070007000E000E001C001C001C 20384038403840388019000E000B1F7E9E10>105 D<0000C00001E00001E00001C00000 00000000000000000000000000000000000000001E000023000043800083800103800103 80020700000700000700000700000E00000E00000E00000E00001C00001C00001C00001C 0000380000380000380000380000700000700030700078E000F1C0006380003E00001328 819E13>I<1E07C07C00231861860023A032030043C03403004380380380438038038087 007007000700700700070070070007007007000E00E00E000E00E00E000E00E00E000E00 E01C101C01C01C201C01C038201C01C038401C01C0184038038018801801800F0024147E 9328>109 D<1E07802318C023A06043C0704380704380708700E00700E00700E00700E0 0E01C00E01C00E01C00E03821C03841C07041C07081C03083803101801E017147E931B> I<03C1E004621804741C08781C08701E08701E10E01E00E01E00E01E00E01E01C03C01C0 3C01C03C01C0380380780380700380E003C1C0072380071E000700000700000E00000E00 000E00000E00001C00001C0000FFC000171D819317>112 D<018001C003800380038003 8007000700FFF807000E000E000E000E001C001C001C001C003800380038003810702070 207040708031001E000D1C7F9B10>116 D<0F00601180702180E021C0E041C0E04380E0 8381C00701C00701C00701C00E03800E03800E03800E03840E07080C07080C07080E0F10 06131003E1E016147E931A>I<0F006070118070F02180E0F821C0E07841C0E0384380E0 188381C0100701C0100701C0100701C0100E0380200E0380200E0380200E0380400E0380 400E0380800E078080060781000709C20001F07C001D147E9321>119 D<03C1C00C62201034701038F02038F020386040700000700000700000700000E00000E0 0000E00000E02061C040F1C040F1C080E2C080446300383C0014147E931A>I E /Ff 53 123 df<00003FE00000E0100001803800038078000380780007003000070000 0007000000070000000E0000000E0000000E000000FFFFE0000E00E0001C01C0001C01C0 001C01C0001C01C0001C0380003803800038038000380380003807000038070000780700 0070071000700E2000700E2000700E2000600E2000E0064000E0038000E0000000C00000 00C0000001C000003180000079800000F3000000620000003C0000001D29829F1A>12 D<000100020004000800100020006000C0018001800300070006000E000C001C00180038 00380030007000700060006000E000E000C000C000C000C000C000C000C000C000C000C0 00C000C000C0004000600060002000100010000800102E79A113>40 D<0010000008000004000006000002000003000003000003000001000001800001800001 800001800001800001800001800003800003800003800003000003000003000007000007 00000600000600000E00000C00000C00001C0000180000380000300000700000600000E0 0000C0000180000100000300000600000C0000180000300000600000800000112E80A113 >I<1C3C3C3C3C040408081020204080060E7D840E>44 D<7FF0FFE07FE00C037D8A10>I< 70F8F8F0E005057B840E>I<04E0100BF0100FF0201FF0401E19C0380E80300180600300 400300800600000E00000C00001C0000180000380000700000700000F00000E00001E000 01E00003C00003C00003C0000780000780000780000F80000F00000F0000060000141F79 9D17>55 D<070F1F1F0E0000000000000000000070F8F8F0E008147B930E>58 D<00000200000006000000060000000E0000001E0000001E0000003F0000002F0000004F 000000CF0000008F0000010F0000010F0000020F0000020F0000040F0000080F0000080F 0000100F800010078000200780003FFF8000400780008007800080078001000780010007 800200078006000780040007801E0007C0FF807FF81D207E9F22>65 D<01FFFFC0001E00F0001E0078001E0038001E003C003C003C003C003C003C003C003C00 3C0078007800780078007800F0007801E000F0078000FFFE0000F00F8000F003C001E001 C001E001E001E001E001E001E003C001E003C001E003C001E003C001C0078003C0078007 8007800F0007801E000F007C00FFFFE0001E1F7D9E20>I<0000FE0200078186001C004C 0038003C0060003C00C0001C01C0001803800018070000180F0000181E0000101E000010 3C0000003C00000078000000780000007800000078000000F0000000F0000000F0000000 F0000000F00000807000008070000080700001003800010038000200180004000C001800 060020000381C00000FE00001F217A9F21>I<00FFFF80001E00E0001E0070001E003800 1E001C003C001C003C000E003C000E003C000E0078000E0078000E0078000E0078000E00 F0001E00F0001E00F0001E00F0001E01E0003C01E0003C01E0003C01E0007803C0007003 C0007003C000E003C001C0078003C00780038007800E0007801C000F007000FFFFC0001F 1F7D9E22>I<01FFFFFE001E001C001E000C001E0004001E0004003C0004003C0004003C 0004003C000400780408007804000078040000780C0000F0180000FFF80000F0180000F0 180001E0100001E0100001E0100001E0001003C0002003C0002003C0004003C000400780 00800780018007800100078007000F001F00FFFFFE001F1F7D9E1F>I<01FFFFFC001E00 38001E0018001E0008001E0008003C0008003C0008003C0008003C000800780010007808 00007808000078080000F0100000F0300000FFF00000F0300001E0200001E0200001E020 0001E0200003C0000003C0000003C0000003C00000078000000780000007800000078000 000F800000FFF800001E1F7D9E1E>I<0000FC040007030C001C00980030007800E00078 01C000380380003003800030070000300E0000301E0000201E0000203C0000003C000000 78000000780000007800000078000000F0000000F000FFF0F0000780F0000780F0000F00 70000F0070000F0070000F0070001E0038001E0018003E001C002E000E00CC0003830400 00FC00001E217A9F23>I<00FFF1FFE0001F003E00001E003C00001E003C00001E003C00 003C007800003C007800003C007800003C007800007800F000007800F000007800F00000 7800F00000F001E00000FFFFE00000F001E00000F001E00001E003C00001E003C00001E0 03C00001E003C00003C007800003C007800003C007800003C007800007800F000007800F 000007800F000007800F00000F801F0000FFF1FFE000231F7D9E22>I<01FFF0001F0000 1E00001E00001E00003C00003C00003C00003C0000780000780000780000780000F00000 F00000F00000F00001E00001E00001E00001E00003C00003C00003C00003C00007800007 80000780000780000F8000FFF000141F7D9E12>I<000FFF8000007C0000007800000078 00000078000000F0000000F0000000F0000000F0000001E0000001E0000001E0000001E0 000003C0000003C0000003C0000003C00000078000000780000007800000078000000F00 00000F0000300F0000780F0000F81E0000F81E0000F03C0000803800004070000020E000 001F80000019207D9E18>I<00FFF01FE0001F000F80001E000E00001E000800001E0010 00003C002000003C004000003C010000003C020000007804000000780800000078100000 007830000000F0F0000000F1F8000000F278000000F478000001E83C000001F03C000001 E03C000001E01E000003C01E000003C01E000003C00F000003C00F000007800F00000780 078000078007800007800780000F8007C000FFF03FF800231F7D9E23>I<01FE00007FC0 001E0000FC00001E0000F80000170001780000170001780000270002F00000270004F000 00270004F00000270008F00000470009E00000470011E00000470021E00000470021E000 00870043C00000838043C00000838083C00000838083C000010381078000010382078000 0103820780000103840780000203840F00000203880F00000203900F00000203900F0000 0401E01E00000401E01E00000401C01E00000C01801E00001C01803E0000FF8103FFC000 2A1F7D9E29>77 D<00FF003FE0001F000F00001F00040000178004000017800400002780 08000023C008000023C008000023C008000041E010000041E010000041F010000040F010 000080F0200000807820000080782000008078200001003C400001003C400001003C4000 01001E400002001E800002001E800002000F800002000F800004000F0000040007000004 000700000C000700001C00020000FF80020000231F7D9E22>I<0001FC0000070700001C 01C0003000E000E0006001C000700380007007800038070000380E0000381E0000381C00 00383C0000383C00003878000078780000787800007878000078F00000F0F00000F0F000 00E0F00001E0F00001C0F00003C0700003807000070078000F0038001E0038003C001C00 70000E00E0000783800001FC00001D217A9F23>I<01FFFF80001E00E0001E0070001E00 38001E003C003C003C003C003C003C003C003C003C0078007800780078007800F0007800 E000F003C000F00F0000FFFC0000F0000001E0000001E0000001E0000001E0000003C000 0003C0000003C0000003C00000078000000780000007800000078000000F800000FFF000 001E1F7D9E1F>I<00FFFF00001E03C0001E00E0001E0070001E0078003C0078003C0078 003C0078003C0078007800F0007800F0007801E0007801C000F0070000F01E0000FFF000 00F01C0001E00E0001E00F0001E0070001E0078003C00F0003C00F0003C00F0003C00F00 07801E0007801E0807801E0807801E100F800E10FFF00E20000003C01D207D9E21>82 D<0007E040001C18C0003005800060038000C0038001C001800180010003800100038001 00038001000380000003C0000003C0000003F8000001FF800001FFE000007FF000001FF0 000001F80000007800000078000000380000003800200038002000380020003000600070 00600060006000E0007000C000E8038000C606000081F800001A217D9F1A>I<0FFFFFFC 1E03C0381803C0181003C0082003C00820078008600780084007800840078008800F0010 000F0000000F0000000F0000001E0000001E0000001E0000001E0000003C0000003C0000 003C0000003C00000078000000780000007800000078000000F0000000F0000000F00000 00F0000001F000007FFF80001E1F799E21>I<3FFC0FF807C003C0078001000780010007 8001000F0002000F0002000F0002000F0002001E0004001E0004001E0004001E0004003C 0008003C0008003C0008003C00080078001000780010007800100078001000F0002000F0 002000F0002000F0004000F0004000700080007001000030020000380400000C18000007 E000001D20779E22>III<00F1800389C00707800E03801C03803C 0380380700780700780700780700F00E00F00E00F00E00F00E20F01C40F01C40703C4070 5C40308C800F070013147C9317>97 D<07803F8007000700070007000E000E000E000E00 1C001C001CF01D0C3A0E3C0E380F380F700F700F700F700FE01EE01EE01EE01CE03CE038 607060E031C01F0010207B9F15>I<007E0001C1000300800E07801E07801C07003C0200 780000780000780000F00000F00000F00000F00000F00000700100700200300400183800 07C00011147C9315>I<0000780003F80000700000700000700000700000E00000E00000 E00000E00001C00001C000F1C00389C00707800E03801C03803C03803807007807007807 00780700F00E00F00E00F00E00F00E20F01C40F01C40703C40705C40308C800F07001520 7C9F17>I<007C01C207010E011C013C013802780C7BF07C00F000F000F000F000700070 0170023804183807C010147C9315>I<00007800019C00033C00033C0007180007000007 00000E00000E00000E00000E00000E0000FFE0001C00001C00001C00001C000038000038 0000380000380000380000700000700000700000700000700000E00000E00000E00000E0 0000E00001C00001C00001C0000180003180007B0000F300006600003C00001629829F0E >I<001E3000713800E0F001C0700380700780700700E00F00E00F00E00F00E01E01C01E 01C01E01C01E01C01E03801E03800E07800E0B8006170001E700000700000700000E0000 0E00300E00781C00F038006070003FC000151D7F9315>I<01E0000FE00001C00001C000 01C00001C000038000038000038000038000070000070000071E000763000E81800F01C0 0E01C00E01C01C03801C03801C03801C0380380700380700380700380E10700E20700E20 701C20700C40E00C8060070014207D9F17>I<00C001E001E001C0000000000000000000 00000000000E001300230043804700470087000E000E000E001C001C001C003840388038 807080310032001C000B1F7C9E0E>I<01E0000FE00001C00001C00001C00001C0000380 000380000380000380000700000700000703C00704200E08E00E11E00E21E00E40C01C80 001D00001E00001FC00038E000387000387000383840707080707080707080703100E031 00601E0013207D9F15>107 D<03C01FC0038003800380038007000700070007000E000E 000E000E001C001C001C001C0038003800380038007000700070007100E200E200E200E2 00640038000A207C9F0C>I<1C0F80F0002630C318004740640C004780680E004700700E 004700700E008E00E01C000E00E01C000E00E01C000E00E01C001C01C038001C01C03800 1C01C038001C01C0708038038071003803807100380380E1003803806200700700640030 0300380021147C9325>I<1C0F802630C04740604780604700704700708E00E00E00E00E 00E00E00E01C01C01C01C01C01C01C03843803883803883807083803107003303001C016 147C931A>I<007C0001C3000301800E01C01E01C01C01E03C01E07801E07801E07801E0 F003C0F003C0F003C0F00780F00700700F00700E0030180018700007C00013147C9317> I<01C1E002621804741C04781C04701E04701E08E01E00E01E00E01E00E01E01C03C01C0 3C01C03C01C0380380780380700380E003C1C0072380071E000700000700000E00000E00 000E00000E00001C00001C0000FF8000171D809317>I<1C1E0026610027838047878047 07804703008E00000E00000E00000E00001C00001C00001C00001C000038000038000038 000038000070000030000011147C9313>114 D<00FC030206010C030C070C060C000F80 0FF007F803FC003E000E700EF00CF00CE008401020601F8010147D9313>I<018001C003 8003800380038007000700FFF007000E000E000E000E001C001C001C001C003800380038 003820704070407080708031001E000C1C7C9B0F>I<0E00C01300E02301C04381C04701 C04701C08703800E03800E03800E03801C07001C07001C07001C07101C0E20180E20180E 201C1E400C264007C38014147C9318>I<0E03801307802307C04383C04701C04700C087 00800E00800E00800E00801C01001C01001C01001C02001C02001C04001C04001C08000E 300003C00012147C9315>I<0E00C1C01300E3C02301C3E04381C1E04701C0E04701C060 870380400E0380400E0380400E0380401C0700801C0700801C0700801C0701001C070100 1C0601001C0F02000C0F04000E13080003E1F0001B147C931E>I<0383800CC4401068E0 1071E02071E02070C040E00000E00000E00000E00001C00001C00001C00001C040638080 F38080F38100E5810084C60078780013147D9315>I<0E00C01300E02301C04381C04701 C04701C08703800E03800E03800E03801C07001C07001C07001C07001C0E00180E00180E 001C1E000C3C0007DC00001C00001C00003800F03800F07000E06000C0C0004380003E00 00131D7C9316>I<01C04003E08007F1800C1F0008020000040000080000100000200000 40000080000100000200000401000802001002003E0C0063FC0041F80080E00012147D93 13>I E /Fg 10 107 df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h 14 117 df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i 46 122 df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j 3 123 df<0C000C00CCC0EDC07F800C007F80EDC0CCC00C000C000A0B7D 8B10>3 D<1818181818FFFF18181818181818181818181818181808167D900E>121 D<1818181818FF18181818180018181818FFFF1818181808167D900E>I E /Fk 86 125 df<00008000000001C000000001C000000003E000000003E000000005F0 00000004F000000008F80000000878000000107C000000103C000000203E000000201E00 0000401F000000400F000000800F80000080078000010007C000010003C000020003E000 020001E000040001F000040000F000080000F80008000078001000007C001000003C0020 00003E002000001E007FFFFFFF007FFFFFFF00FFFFFFFF8021207E9F26>1 D<001F83E000F06E3001C078780380F8780300F030070070000700700007007000070070 00070070000700700007007000FFFFFF8007007000070070000700700007007000070070 000700700007007000070070000700700007007000070070000700700007007000070070 00070070000700700007007000070070003FE3FF001D20809F1B>11 D<003F0000E0C001C0C00381E00701E00701E00700000700000700000700000700000700 00FFFFE00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700 E00700E00700E00700E00700E00700E00700E00700E03FC3FC1620809F19>I<003FE000 E0E001C1E00381E00700E00700E00700E00700E00700E00700E00700E00700E0FFFFE007 00E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E007 00E00700E00700E00700E00700E00700E03FE7FC1620809F19>I<001F81F80000F04F04 0001C07C06000380F80F000300F00F000700F00F00070070000007007000000700700000 070070000007007000000700700000FFFFFFFF0007007007000700700700070070070007 007007000700700700070070070007007007000700700700070070070007007007000700 700700070070070007007007000700700700070070070007007007000700700700070070 07003FE3FE3FE02320809F26>I<7038F87CFC7EFC7E743A040204020402080408041008 1008201040200F0E7F9F17>34 D<078000180018400018003020003000301800E0006017 0360006008FCC000E008018000E008018000E008030000E008060000E008060000E0080C 0000600818000060101800003010300000302060000018406000000780C0000000018078 000001818400000303020000030301000006070100000C060100000C0E008000180E0080 00300E008000300E008000600E008000C00E008000C00E00800180060100030007010003 0003010006000302000C00018400040000780021257EA126>37 D<007800000084000001 840000030200000702000007020000070200000702000007040000070400000708000007 0800000390000003A00FFC03C001E003C000C001C0008001C0010002E0010004E0020008 7002001878040030380800703C0800701C1000F00E1000F00F2000F007C000F003800470 01C0047802E008380470181C183C3007E00FC01E227EA023>I<70F8FCFC740404040808 10102040060E7C9F0D>I<0040008001000300060004000C001800180038003000300070 006000600060006000E000E000E000E000E000E000E000E000E000E000E000E000600060 00600060007000300030003800180018000C000400060003000100008000400A2E7BA112 >I<8000400020003000180008000C000600060007000300030003800180018001800180 01C001C001C001C001C001C001C001C001C001C001C001C0018001800180018003800300 03000700060006000C000800180030002000400080000A2E7EA112>I<00030000000300 000003000000030000000300000003000000030000000300000003000000030000000300 0000030000000300000003000000030000FFFFFFFCFFFFFFFC0003000000030000000300 000003000000030000000300000003000000030000000300000003000000030000000300 000003000000030000000300001E207E9A23>43 D<70F0F8F87808080810101020204005 0E7C840D>II<70F8F8F87005057C840D>I<03F0000E1C001C0E 00180600380700700380700380700380700380F003C0F003C0F003C0F003C0F003C0F003 C0F003C0F003C0F003C0F003C0F003C0F003C0F003C07003807003807003807807803807 001806001C0E000E1C0003F000121F7E9D17>48 D<008003800F80F38003800380038003 800380038003800380038003800380038003800380038003800380038003800380038003 800380038007C0FFFE0F1E7C9D17>I<03F0000C1C00100E00200700400780800780F007 C0F803C0F803C0F803C02007C00007C0000780000780000F00000E00001C000038000070 0000600000C0000180000300000600400C00401800401000803FFF807FFF80FFFF80121E 7E9D17>I<03F0000C1C00100E00200F00780F80780780780780380F80000F80000F0000 0F00001E00001C0000700007F000003C00000E00000F000007800007800007C02007C0F8 07C0F807C0F807C0F00780400780400F00200E00183C0007F000121F7E9D17>I<000600 000600000E00000E00001E00002E00002E00004E00008E00008E00010E00020E00020E00 040E00080E00080E00100E00200E00200E00400E00C00E00FFFFF0000E00000E00000E00 000E00000E00000E00000E0000FFE0141E7F9D17>I<1803001FFE001FFC001FF8001FE0 0010000010000010000010000010000010000011F000161C00180E001007001007800003 800003800003C00003C00003C07003C0F003C0F003C0E00380400380400700200600100C 0008380007E000121F7E9D17>I<007C000182000701000E03800C078018078038030038 0000780000700000700000F1F000F21C00F40600F80700F80380F80380F003C0F003C0F0 03C0F003C0F003C07003C07003C07003803803803807001807000C0E00061C0001F00012 1F7E9D17>I<4000007FFFE07FFFC07FFFC0400080800100800100800200000400000400 00080000100000100000200000200000600000600000E00000C00001C00001C00001C000 01C00003C00003C00003C00003C00003C00003C00003C000018000131F7E9D17>I<03F0 000C0C001006003003002001806001806001806001807001807803003E03003F06001FC8 000FF00003F80007FC000C7E00103F00300F806007806001C0C001C0C000C0C000C0C000 C0C000806001802001001002000C0C0003F000121F7E9D17>I<03F0000E18001C0C0038 0600380700700700700380F00380F00380F003C0F003C0F003C0F003C0F003C07007C070 07C03807C0180BC00E13C003E3C0000380000380000380000700300700780600780E0070 0C002018001070000FC000121F7E9D17>I<70F8F8F8700000000000000000000070F8F8 F87005147C930D>I<70F8F8F8700000000000000000000070F0F8F87808080810101020 2040051D7C930D>I<7FFFFFF8FFFFFFFC00000000000000000000000000000000000000 00000000000000000000000000FFFFFFFC7FFFFFF81E0C7E9023>61 D<0FE0103C601E400EE00FF00FF00F600F001E001C00380070006000C000800080010001 00010001000100010000000000000000000000038007C007C007C0038010207E9F15>63 D<000100000003800000038000000380000007C0000007C0000007C0000009E0000009E0 000009E0000010F0000010F0000010F00000207800002078000020780000403C0000403C 0000C03E0000801E0000801E0001FFFF0001000F0001000F000200078002000780020007 80040003C0040003C00C0003C01E0003E0FF801FFE1F207F9F22>65 DI<000FE01000381C3000E00270 03C00170078000F00F0000701E0000701E0000303C0000303C0000107C00001078000010 F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000 780000007C0000103C0000103C0000101E0000201E0000200F0000200780004003C00080 00E0030000380C00000FF0001C217E9F21>IIII<000FE01000381C3000E0027003C00170078000F0 0F0000701E0000701E0000303C0000303C0000107C00001078000010F8000000F8000000 F8000000F8000000F8000000F8000000F8000000F8003FFEF80001F0780000F07C0000F0 3C0000F03C0000F01E0000F01E0000F00F0000F0078000F003C0017000E0023000380C10 000FF0001F217E9F24>III<07FFC0003E 00001E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001E 00001E00001E00001E00001E00001E00001E00001E00001E00001E00201E00F81E00F81E 00F81E00F01C00403C006038001070000FC00012207F9E17>IIIII<001FE0000070380001C00E0003800700070003800F0003C01E00 01E03C0000F03C0000F07C0000F87C0000F878000078F800007CF800007CF800007CF800 007CF800007CF800007CF800007CF800007CF800007C780000787C0000F87C0000F83C00 00F03E0001F01E0001E00F0003C0070003800380070001E01E0000703800001FE0001E21 7E9F23>II82 D<03F0400C0CC01803C03001C06000C060 00C0E000C0E00040E00040E00040F00000F800007C00007F80003FF8001FFF0007FF8000 FFC0001FE00003E00001E00000F0000070800070800070800070800070C00060C000E0E0 00C0F80180C6030081FC0014217E9F19>I<7FFFFFE0780F01E0600F0060400F0020400F 0020C00F0030800F0010800F0010800F0010800F0010000F0000000F0000000F0000000F 0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F 0000000F0000000F0000000F0000000F0000000F0000000F0000001F800003FFFC001C1F 7E9E21>IIII89 D<7FFFFE7E003C78003C7000786000F86000F04001E04003E04003C0400780000780000F 00001E00001E00003C00007C0000780000F00001F00001E00203C00203C0020780020F80 060F00061E00043E000C3C000C78003C7800FCFFFFFC171F7E9E1C>II<080410082010201040204020804080408040B85CFC7EFC7E7C3E38 1C0F0E7A9F17>II<0C001E0033006180C0C08040 0A067A9E17>I<3078FC783006057D9E0D>I<1FE000303000781800781C00300E00000E00 000E00000E0000FE00078E001E0E00380E00780E00F00E10F00E10F00E10F01E10781E10 3867200F83C014147E9317>97 D<1C0000FC00001C00001C00001C00001C00001C00001C 00001C00001C00001C00001C00001C7C001D87001E01801E00C01C00E01C00701C00701C 00781C00781C00781C00781C00781C00781C00701C00F01C00E01E00C01A018019870010 7C0015207E9F19>I<01FC000706001C0F00380F00380600780000700000F00000F00000 F00000F00000F00000F000007000007800003800803800801C010007060001F80011147F 9314>I<0001C0000FC00001C00001C00001C00001C00001C00001C00001C00001C00001 C00001C001F1C0070DC00C03C01801C03801C07801C07001C0F001C0F001C0F001C0F001 C0F001C0F001C07001C07001C03801C01803C00C03C0070DC001F1F815207F9F19>I<03 F0000E1C001C0E00380700380700700700700380F00380F00380FFFF80F00000F00000F0 00007000007000003800803800801C010007060001F80011147F9314>I<007C01C6030F 070F0E060E000E000E000E000E000E000E00FFF00E000E000E000E000E000E000E000E00 0E000E000E000E000E000E000E000E000E000E007FE01020809F0E>I<0000E003E3300E 3C301C1C30380E00780F00780F00780F00780F00780F00380E001C1C001E380033E00020 00002000003000003000003FFE001FFF801FFFC03001E0600070C00030C00030C00030C0 00306000603000C01C038003FC00141F7F9417>I<1C0000FC00001C00001C00001C0000 1C00001C00001C00001C00001C00001C00001C00001C7C001C86001D03001E03801E0380 1C03801C03801C03801C03801C03801C03801C03801C03801C03801C03801C03801C0380 1C03801C0380FF8FF014207E9F19>I<38007C007C007C00380000000000000000000000 00001C00FC001C001C001C001C001C001C001C001C001C001C001C001C001C001C001C00 1C001C00FF80091F7F9E0C>I<00E001F001F001F000E000000000000000000000000000 7007F000F000700070007000700070007000700070007000700070007000700070007000 70007000700070007000706070F060F0C061803F000C28829E0E>I<1C0000FC00001C00 001C00001C00001C00001C00001C00001C00001C00001C00001C00001C1FE01C07801C06 001C04001C08001C10001C20001C60001CE0001DF0001E70001C38001C3C001C1C001C0E 001C0F001C07001C07801C07C0FF9FF014207E9F18>I<1C00FC001C001C001C001C001C 001C001C001C001C001C001C001C001C001C001C001C001C001C001C001C001C001C001C 001C001C001C001C001C001C00FF8009207F9F0C>I<1C3E03E000FCC30C30001D039038 001E01E01C001E01E01C001C01C01C001C01C01C001C01C01C001C01C01C001C01C01C00 1C01C01C001C01C01C001C01C01C001C01C01C001C01C01C001C01C01C001C01C01C001C 01C01C001C01C01C00FF8FF8FF8021147E9326>I<1C7C00FC86001D03001E03801E0380 1C03801C03801C03801C03801C03801C03801C03801C03801C03801C03801C03801C0380 1C03801C0380FF8FF014147E9319>I<01F800070E001C03803801C03801C07000E07000 E0F000F0F000F0F000F0F000F0F000F0F000F07000E07000E03801C03801C01C0380070E 0001F80014147F9317>I<1C7C00FD87001E01801E01C01C00E01C00F01C00701C00781C 00781C00781C00781C00781C00781C00701C00F01C00E01E01C01E03801D87001C7C001C 00001C00001C00001C00001C00001C00001C00001C0000FF8000151D7E9319>I<01F040 070CC00E02C01C03C03801C07801C07001C0F001C0F001C0F001C0F001C0F001C0F001C0 7001C07801C03801C01C03C00C05C00709C001F1C00001C00001C00001C00001C00001C0 0001C00001C00001C0000FF8151D7F9318>I<1CF0FD181E3C1E3C1E181C001C001C001C 001C001C001C001C001C001C001C001C001C001C00FFC00E147E9312>I<0FC830386018 C008C008C008E0007C003FE01FF007F8003C800E8006C006C006C004E00CD81887E00F14 7F9312>I<020002000200060006000E000E003E00FFF80E000E000E000E000E000E000E 000E000E000E000E000E040E040E040E040E040708030801F00E1C7F9B12>I<1C0380FC 1F801C03801C03801C03801C03801C03801C03801C03801C03801C03801C03801C03801C 03801C03801C03801C07800C0780061B8003E3F014147E9319>IIIII<7FFF700E600E401C40384078407000E001E0 01C00380078007010E011E011C0338027006700EFFFE10147F9314>III E /Fl 33 122 df<000E00001E00007E0007FE00FF FE00FFFE00F8FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000 FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000 FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE00FFFFFEFFFFFEFFFFFE17277BA6 22>49 D<00FF800007FFF0000FFFFC001E03FE003800FF807C003F80FE003FC0FF001FC0 FF001FE0FF000FE0FF000FE07E000FE03C001FE000001FE000001FC000001FC000003F80 00003F0000007E000000FC000000F8000001F0000003E00000078000000F0000001E0000 003C00E0007000E000E000E001C001C0038001C0060001C00FFFFFC01FFFFFC03FFFFFC0 7FFFFFC0FFFFFF80FFFFFF80FFFFFF801B277DA622>I<007F800003FFF00007FFFC000F 81FE001F007F003F807F003F803F803F803F803F803F801F803F801F003F8000007F0000 007F0000007E000000FC000001F8000007F00000FFC00000FFC0000001F80000007E0000 003F0000003F8000001FC000001FC000001FE000001FE03C001FE07E001FE0FF001FE0FF 001FE0FF001FC0FF003FC0FE003F807C007F003F01FE001FFFFC0007FFF00000FF80001B 277DA622>I<00000F0000000F0000001F0000003F0000007F000000FF000001FF000001 FF000003BF0000073F00000E3F00001C3F00003C3F0000383F0000703F0000E03F0001C0 3F0003803F0007803F0007003F000E003F001C003F0038003F0070003F00F0003F00FFFF FFF8FFFFFFF8FFFFFFF800007F0000007F0000007F0000007F0000007F0000007F000000 7F0000007F00001FFFF8001FFFF8001FFFF81D277EA622>I<180003001F801F001FFFFE 001FFFFC001FFFF8001FFFF0001FFFC0001FFF00001C0000001C0000001C0000001C0000 001C0000001C0000001C0000001C7FC0001DFFF8001F80FC001E003F0008003F0000001F 8000001FC000001FC000001FE000001FE018001FE07C001FE0FE001FE0FE001FE0FE001F E0FE001FC0FC001FC078003F8078003F803C007F001F01FE000FFFFC0003FFF00000FF80 001B277DA622>I<00000780000000000780000000000FC0000000000FC0000000000FC0 000000001FE0000000001FE0000000003FF0000000003FF0000000003FF00000000077F8 0000000077F800000000F7FC00000000E3FC00000000E3FC00000001C1FE00000001C1FE 00000003C1FF0000000380FF0000000380FF00000007007F80000007007F8000000F007F C000000E003FC000000E003FC000001C001FE000001C001FE000003FFFFFF000003FFFFF F000003FFFFFF00000700007F80000700007F80000F00007FC0000E00003FC0001E00003 FE0001C00001FE0001C00001FE0003C00001FF00FFFE003FFFFCFFFE003FFFFCFFFE003F FFFC2E297EA833>65 D<00007FE0030007FFFC07001FFFFF0F007FF00F9F00FF0001FF01 FC0000FF03F800007F07F000003F0FE000001F1FC000001F1FC000000F3F8000000F3F80 0000077F800000077F800000077F00000000FF00000000FF00000000FF00000000FF0000 0000FF00000000FF00000000FF00000000FF00000000FF000000007F000000007F800000 007F800000073F800000073F800000071FC00000071FC000000E0FE000000E07F000001C 03F800003C01FC00007800FF0001F0007FF007C0001FFFFF800007FFFE0000007FF00028 297CA831>67 D73 D77 DI82 D<00FF806003FFF0E00FFFF8E01F80FDE03F001FE0 3E0007E07C0003E07C0003E0FC0001E0FC0001E0FC0000E0FE0000E0FE0000E0FF000000 FFC000007FFC00007FFFE0003FFFF8001FFFFE001FFFFF0007FFFF8003FFFFC000FFFFC0 000FFFE000007FE000001FF000000FF0000007F0E00003F0E00003F0E00003F0E00003F0 F00003E0F00003E0F80007E0FC0007C0FF000F80FFE03F80E3FFFE00E1FFFC00C01FF000 1C297CA825>I<7FFFFFFFFF807FFFFFFFFF807FFFFFFFFF807F807F807F807C007F800F 8078007F80078078007F80078070007F800380F0007F8003C0F0007F8003C0E0007F8001 C0E0007F8001C0E0007F8001C0E0007F8001C0E0007F8001C000007F80000000007F8000 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000 0000007F80000000007F80000000007F80000000007F80000000007F80000000007F8000 0000007F80000000007F80000000FFFFFFC00000FFFFFFC00000FFFFFFC0002A287EA72F >I86 D<03FF80000FFFF0001F01FC003F80FE003F807F003F803F003F803F801F003F80 00003F8000003F8000003F8000003F80003FFF8001FC3F800FE03F801F803F803F003F80 7E003F80FC003F80FC003F80FC003F80FC003F80FC005F807E00DF803F839FFC1FFE0FFC 03FC03FC1E1B7E9A21>97 D<003FF00001FFFC0003F03E000FC07F001F807F003F007F00 3F007F007F003E007E0000007E000000FE000000FE000000FE000000FE000000FE000000 FE000000FE0000007E0000007E0000007F0000003F0003803F8003801F8007000FE00E00 03F83C0001FFF800003FC000191B7E9A1E>99 D<00007FF000007FF000007FF0000007F0 000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0 000007F0000007F0003F87F001FFF7F007F03FF00FC00FF01F8007F03F0007F03F0007F0 7E0007F07E0007F07E0007F0FE0007F0FE0007F0FE0007F0FE0007F0FE0007F0FE0007F0 FE0007F0FE0007F07E0007F07E0007F03F0007F03F0007F01F800FF00FC01FF007E07FFF 01FFE7FF007F87FF202A7EA925>I<003FC00001FFF00003E07C000F803E001F801F001F 001F003F000F807E000F807E000FC07E000FC0FE0007C0FE0007C0FFFFFFC0FFFFFFC0FE 000000FE000000FE0000007E0000007E0000007F0000003F0001C01F0001C00F80038007 C0070003F01E0000FFFC00003FE0001A1B7E9A1F>I<0007F8003FFC007E3E01FC7F03F8 7F03F07F07F07F07F03E07F00007F00007F00007F00007F00007F00007F000FFFFC0FFFF C0FFFFC007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F0 0007F00007F00007F00007F00007F00007F00007F00007F00007F00007F0007FFF807FFF 807FFF80182A7EA915>I<00FF80F003FFE3F80FC1FE1C1F007C7C3F007E7C3E003E107E 003F007E003F007E003F007E003F007E003F007E003F003E003E003F007E001F007C000F C1F8000BFFE00018FF80001800000038000000380000003C0000003FFFF8003FFFFF001F FFFFC00FFFFFE007FFFFF01FFFFFF03C0007F07C0001F8F80000F8F80000F8F80000F8F8 0000F87C0001F07C0001F03F0007E00FC01F8007FFFF00007FF0001E287E9A22>II<07000F801FC03F E03FE03FE01FC00F8007000000000000000000000000000000FFE0FFE0FFE00FE00FE00F E00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00F E0FFFEFFFEFFFE0F2B7EAA12>I108 DII<003FE00001FFFC0003F07E00 0FC01F801F800FC03F0007E03F0007E07E0003F07E0003F07E0003F0FE0003F8FE0003F8 FE0003F8FE0003F8FE0003F8FE0003F8FE0003F8FE0003F87E0003F07E0003F03F0007E0 3F0007E01F800FC00FC01F8007F07F0001FFFC00003FE0001D1B7E9A22>II114 D<03FE300FFFF03E03F07800F07000F0F00070F00070F80070FE0000FFE0007FFF007FFF C03FFFE01FFFF007FFF800FFF80007FC0000FCE0007CE0003CF0003CF00038F80038FC00 70FF01E0E7FFC0C1FF00161B7E9A1B>I<00E00000E00000E00000E00001E00001E00001 E00003E00003E00007E0000FE0001FFFE0FFFFE0FFFFE00FE0000FE0000FE0000FE0000F E0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0700FE0700FE0700F E0700FE0700FE0700FE07007F0E003F0C001FF80007F0014267FA51A>III121 D E /Fm 7 117 df<00038000000380000007C0000007C0000007C000000FE000000FE0 00001FF000001BF000003BF8000031F8000031F8000060FC000060FC0000E0FE0000C07E 0000C07E0001803F0001FFFF0003FFFF8003001F8007001FC006000FC006000FC00C0007 E00C0007E0FF803FFEFF803FFE1F1C7E9B24>65 D<0FF8001C1E003E0F803E07803E07C0 1C07C00007C0007FC007E7C01F07C03C07C07C07C0F807C0F807C0F807C0780BC03E13F8 0FE1F815127F9117>97 DI<03FC00 0E0E001C1F003C1F00781F00780E00F80000F80000F80000F80000F80000F80000780000 7801803C01801C03000E0E0003F80011127E9115>I114 D<1FD830786018E018E018F000FF807FE07FF01FF807FC00 7CC01CC01CE01CE018F830CFC00E127E9113>I<0300030003000300070007000F000F00 3FFCFFFC1F001F001F001F001F001F001F001F001F001F0C1F0C1F0C1F0C0F08079803F0 0E1A7F9913>I E /Fn 22 123 df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o 51 124 df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p 5 123 df0 D<020002000200C218F2783AE00F800F803AE0F278C2180200020002000D0E7E8E 12>3 D<0F801FC0306060306030C018C018C018C0186030603030601FC00F800D0E7E8E 12>14 D<06000600060006000600060006000600FFF0FFF0060006000600060006000600 06000600060006000600060006000600060006000600060006000C1D7E9611>121 D<060006000600060006000600FFF0FFF006000600060006000600060000000600060006 00060006000600FFF0FFF00600060006000600060006000C1D7E9611>I E /Fq 23 118 df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r 32 118 df<387CFEFEFE7C3807077C8610>46 D<00180000780001F800FFF800FF F80001F80001F80001F80001F80001F80001F80001F80001F80001F80001F80001F80001 F80001F80001F80001F80001F80001F80001F80001F80001F80001F80001F80001F80001 F80001F8007FFFE07FFFE013207C9F1C>49 D<03FC000FFF003C1FC07007E07C07F0FE03 F0FE03F8FE03F8FE01F87C01F83803F80003F80003F00003F00007E00007C0000F80001F 00003E0000380000700000E01801C0180380180700180E00380FFFF01FFFF03FFFF07FFF F0FFFFF0FFFFF015207D9F1C>I<00FE0007FFC00F07E01E03F03F03F03F81F83F81F83F 81F81F03F81F03F00003F00003E00007C0001F8001FE0001FF000007C00001F00001F800 00FC0000FC3C00FE7E00FEFF00FEFF00FEFF00FEFF00FC7E01FC7801F81E07F00FFFC001 FE0017207E9F1C>I<0000E00001E00003E00003E00007E0000FE0001FE0001FE00037E0 0077E000E7E001C7E00187E00307E00707E00E07E00C07E01807E03807E07007E0E007E0 FFFFFFFFFFFF0007E00007E00007E00007E00007E00007E00007E000FFFF00FFFF18207E 9F1C>I<000070000000007000000000F800000000F800000000F800000001FC00000001 FC00000003FE00000003FE00000003FE000000067F000000067F0000000C7F8000000C3F 8000000C3F800000181FC00000181FC00000301FE00000300FE00000700FF000006007F0 00006007F00000C007F80000FFFFF80001FFFFFC00018001FC00018001FC00030001FE00 030000FE00070000FF000600007F000600007F00FFE007FFF8FFE007FFF825227EA12A> 65 D<0003FE0080001FFF818000FF01E38001F8003F8003E0001F8007C0000F800F8000 07801F800007803F000003803F000003807F000001807E000001807E00000180FE000000 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000 7E000000007E000001807F000001803F000001803F000003801F800003000F8000030007 C000060003F0000C0001F800380000FF00F000001FFFC0000003FE000021227DA128>67 D70 D73 D77 DI<0007 FC0000003FFF800000FC07E00003F001F80007E000FC000FC0007E001F80003F001F8000 3F003F00001F803F00001F807F00001FC07E00000FC07E00000FC0FE00000FE0FE00000F E0FE00000FE0FE00000FE0FE00000FE0FE00000FE0FE00000FE0FE00000FE0FE00000FE0 7E00000FC07F00001FC07F00001FC03F00001F803F80003F801F80003F000FC0007E0007 E000FC0003F001F80000FC07E000003FFF80000007FC000023227DA12A>II<01FE0207FF86 1F01FE3C007E7C001E78000E78000EF80006F80006FC0006FC0000FF0000FFE0007FFF00 7FFFC03FFFF01FFFF80FFFFC03FFFE003FFE0003FE00007F00003F00003FC0001FC0001F C0001FE0001EE0001EF0003CFC003CFF00F8C7FFE080FF8018227DA11F>83 D<7FFFFFFF807FFFFFFF807E03F80F807803F807807003F803806003F80180E003F801C0 E003F801C0C003F800C0C003F800C0C003F800C0C003F800C00003F800000003F8000000 03F800000003F800000003F800000003F800000003F800000003F800000003F800000003 F800000003F800000003F800000003F800000003F800000003F800000003F800000003F8 00000003F800000003F800000003F8000001FFFFF00001FFFFF00022227EA127>I<0FFC 003FFF807E07C07E03E07E01E07E01F03C01F00001F00001F0003FF003FDF01FC1F03F01 F07E01F0FC01F0FC01F0FC01F0FC01F07E02F07E0CF81FF87F07E03F18167E951B>97 DI<0001FE000001FE0000003E0000003E0000003E0000003E0000003E0000003E00 00003E0000003E0000003E0000003E0000003E0001FC3E0007FFBE000F81FE001F007E00 3E003E007E003E007C003E00FC003E00FC003E00FC003E00FC003E00FC003E00FC003E00 FC003E00FC003E007C003E007C003E003E007E001F00FE000F83BE0007FF3FC001FC3FC0 1A237EA21F>100 D<00FE0007FF800F87C01E01E03E01F07C00F07C00F8FC00F8FC00F8 FFFFF8FFFFF8FC0000FC0000FC00007C00007C00007E00003E00181F00300FC07003FFC0 00FF0015167E951A>I<001FC0007FE000F1F001E3F003E3F007C3F007C1E007C00007C0 0007C00007C00007C00007C000FFFE00FFFE0007C00007C00007C00007C00007C00007C0 0007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C00007C0 003FFC003FFC00142380A211>I<01FE0F0007FFBF800F87C7801F03E7801E01E0003E01 F0003E01F0003E01F0003E01F0003E01F0001E01E0001F03E0000F87C0000FFF800009FE 000018000000180000001C0000001FFFE0000FFFF80007FFFE001FFFFF003C003F007800 0F80F0000780F0000780F0000780F000078078000F003C001E001F007C000FFFF80001FF C00019217F951C>II<1C003E007F007F007F003E001C0000000000000000000000 00000000FF00FF001F001F001F001F001F001F001F001F001F001F001F001F001F001F00 1F001F001F001F00FFE0FFE00B247EA310>I108 DII<00FE0007FFC00F83E01E00F03E00F87C007C7C007C7C007CFC007EFC 007EFC007EFC007EFC007EFC007EFC007E7C007C7C007C3E00F81F01F00F83E007FFC000 FE0017167E951C>II< FE1F00FE3FC01E67E01EC7E01E87E01E87E01F83C01F00001F00001F00001F00001F0000 1F00001F00001F00001F00001F00001F00001F00001F0000FFF000FFF00013167E9517> 114 D<0FF3003FFF00781F00600700E00300E00300F00300FC00007FE0007FF8003FFE00 0FFF0001FF00000F80C00780C00380E00380E00380F00700FC0E00EFFC00C7F00011167E 9516>I<0180000180000180000180000380000380000780000780000F80003F8000FFFF 00FFFF000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80000F80 000F81800F81800F81800F81800F81800F830007C30003FE0000F80011207F9F16>II E end %%EndProlog %%BeginSetup %%Feature: *Resolution 300dpi TeXDict begin %%EndSetup %%Page: 1 1 1 0 bop 291 440 a Fr(Computational)18 b(Mo)r(dels)g(of)h(Sensorimotor)d (In)n(tegration)706 571 y Fq(Zoubin)i(Ghahr)n(amani)1138 553 y Fp(\003)705 634 y Fq(Daniel)h(M.)e(Wolp)n(ert)1119 616 y Fp(y)722 697 y Fq(Michael)h(I.)f(Jor)n(dan)1103 679 y Fp(z)224 108 y Fo(In)d(P)m(.G.)e(Morasso)i(and)g(V.)g(Sanguineti) f(\(eds.\))19 b Fn(Self-Or)n(ganization,)14 b(Computational)224 169 y(Maps)i(and)f(Motor)g(Contr)n(ol,)e Fo(117{147.)j(Amsterdam:)g (North{Holland,)d(1997.)830 832 y Fm(Abstract)400 901 y Fo(The)22 b(sensorimotor)f(in)o(tegration)g(system)g(can)h(b)q(e)g (view)o(ed)g(as)f(an)338 955 y(observ)o(er)e(attempting)d(to)h (estimate)g(its)h(o)o(wn)f(state)i(and)e(the)h(state)h(of)338 1008 y(the)d(en)o(vironmen)o(t)e(b)o(y)i(in)o(tegrating)e(m)o(ultiple)g (sources)j(of)e(information.)338 1062 y(W)m(e)i(describ)q(e)i(a)f (computational)d(framew)o(ork)h(capturing)i(this)f(notion,)338 1116 y(and)e(some)f(sp)q(eci\014c)i(mo)q(dels)e(of)h(in)o(tegration)f (and)h(adaptation)f(that)h(re-)338 1170 y(sult)h(from)e(it.)24 b(Psyc)o(hoph)o(ysical)16 b(results)h(from)d(t)o(w)o(o)i(sensorimotor)f (sys-)338 1224 y(tems,)9 b(subserving)h(the)g(in)o(tegration)f(and)g (adaptation)g(of)f(visuo-auditory)338 1278 y(maps,)k(and)h(estimation)f (of)g(the)i(state)h(of)e(the)h(hand)f(during)g(arm)f(mo)o(v)o(e-)338 1332 y(men)o(ts,)f(are)i(presen)o(ted)i(and)d(analyzed)g(within)g(this) g(framew)o(ork.)k(These)338 1386 y(results)e(suggest)g(that:)k(\(1\))13 b(Spatial)f(information)f(from)g(visual)h(and)i(au-)338 1440 y(ditory)e(systems)h(is)f(in)o(tegrated)h(so)g(as)f(to)g(reduce)j (the)e(v)n(ariance)f(in)g(lo)q(cal-)338 1494 y(ization.)25 b(\(2\))16 b(The)h(e\013ects)h(of)e(a)g(remapping)f(in)h(the)h (relation)f(b)q(et)o(w)o(een)338 1548 y(visual)9 b(and)i(auditory)f (space)h(can)g(b)q(e)g(predicted)h(from)d(a)h(simple)f(learning)338 1602 y(rule.)27 b(\(3\))17 b(The)g(temp)q(oral)f(propagation)g(of)g (errors)i(in)e(estimating)g(the)338 1656 y(hand's)d(state)h(is)g (captured)h(b)o(y)e(a)g(linear)g(dynamic)f(observ)o(er,)i(pro)o(viding) 338 1710 y(evidence)j(for)f(the)g(existence)i(of)e(an)f(in)o(ternal)h (mo)q(del)f(whic)o(h)h(sim)o(ulates)338 1764 y(the)e(dynamic)e(b)q(eha) o(vior)i(of)f(the)i(arm.)224 1911 y Fl(1)67 b(In)n(tro)r(duction)224 2018 y Fk(All)20 b(higher)g(organisms)e(are)h(able)g(to)g(in)o(tegrate) f(information)h(from)f(m)o(ultiple)224 2079 y(sensory)e(mo)q(dalities)h (and)f(use)g(this)g(information)g(to)f(select)i(and)f(guide)g(mo)o(v)o (e-)224 2140 y(men)o(ts.)38 b(A)o(t)21 b(the)h(outset,)g(this)g (problem)g(seems)f(formidable.)40 b(Information)p 224 2176 558 2 v 275 2203 a Fj(\003)293 2218 y Fi(Departmen)o(t)20 b(of)e(Computer)h(Science,)i(Univ)o(ersit)o(y)f(of)e(T)m(oron)o(to,)i (T)m(oron)o(to,)f(ON)f(M5S)224 2268 y(1A4,)10 b(Canada.)460 2252 y Fj(y)476 2268 y Fi(Sob)q(ell)h(Departmen)o(t)f(of)f(Neuroph)o (ysiology)m(,)k(Institute)d(of)e(Neurology)m(,)j(Queen)224 2317 y(Square,)g(London)h(W)o(C1N)e(3BG,)g(United)h(Kingdom.)1015 2301 y Fj(z)1031 2317 y Fi(Departmen)o(t)g(of)f(Brain)h(and)g(Cognitiv) o(e)224 2367 y(Sciences,)j(Massac)o(h)o(usetts)h(Institute)f(of)f(T)m (ec)o(hnology)m(,)h(Cam)o(bridge,)g(MA)e(02139,)i(USA.)p eop %%Page: 2 2 2 1 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)451 b Fh(Sensorimotor)15 b(In)o(tegration)60 b Fk(2)224 286 y(arriving)20 b(in)o(to)e(eac)o(h)h(sense)h(co)q(des)f(for)g(quite)g (di\013eren)o(t)g(asp)q(ects)g(of)g(the)g(en)o(vi-)224 348 y(ronmen)o(t:)k(Audition)c(senses)e(c)o(hanges)h(in)f(pressure)h (on)f(the)g(eardrum;)h(vision)224 409 y(detects)12 b(photons)f(on)h (the)f(retina;)i(the)f(sense)g(of)f(smell)h(recognizes)h(molecules)g (in)224 470 y(the)k(olfactory)e(bulb.)25 b(The)16 b(cen)o(tral)g(nerv)o (ous)h(system)e(accomplishes)j(the)f(task)224 531 y(of)j(extracting)h (the)f(commonalities)i(in)f(this)g(information,)h(and)f(in)o(tegrating) 224 592 y(these)f(in)o(to)f(uni\014ed)i(p)q(ercepts.)32 b(This)20 b(seemless)g(in)o(tegration)f(of)g(information)224 653 y(not)h(only)h(underlies)i(p)q(erception)e(but)g(also)f(the)h(pro)q (duction)g(of)f(mo)o(v)o(emen)o(t.)224 714 y(A)c(single)i(reac)o(hing)e (mo)o(v)o(emen)o(t,)f(for)g(example,)i(ma)o(y)e(require)i(con)o(v)o (ergence)f(of)224 776 y(information)f(from)g(the)g(visual,)h(proprio)q (ceptiv)o(e,)g(and)g(motor)e(systems.)295 837 y(The)21 b(goal)f(of)g(this)h(c)o(hapter)g(is)g(to)f(outline)i(a)e (computational)h(theory)f(of)224 898 y(sensorimotor)12 b(in)o(tegration.)20 b(While)14 b(eac)o(h)f(sensory)g(mo)q(dalit)o(y)g (and)g(motor)f(sub-)224 959 y(system)i(is)g(distinct)h(in)g(its)f (functioning,)i(there)e(are)f(common)h(elemen)o(ts)g(to)g(the)224 1020 y(problem)21 b(of)e(in)o(tegrating)g(m)o(ultiple)j(sources)e(of)f (information)h(whic)o(h)g(can)g(b)q(e)224 1081 y(captured)15 b(within)g(a)f(computational)g(framew)o(ork.)k(As)c(in)h(other)f(areas) f(of)h(neu-)224 1142 y(roscience,)k(w)o(e)e(app)q(eal)i(to)e(the)h (formal)f(analyses)h(of)f(this)h(problem)g(that)f(ha)o(v)o(e)224 1204 y(b)q(een)g(made)e(within)i(statistics,)f(computer)f(science,)i (and)f(engineering.)21 b(Th)o(us,)224 1265 y(in)f(the)f(tradition)h(of) f(Marr)f(\(1982\),)g(w)o(e)h(seek)g(to)g(understand)h(sensorimotor)224 1326 y(in)o(tegration)d(b)o(y)h(asking:)24 b(\(1\))16 b(what)h(is)h(the)f(problem)h(from)f(a)g(computational)224 1387 y(p)q(oin)o(t)f(of)f(view,)h(\(2\))f(ho)o(w)g(can)g(this)h (problem)g(b)q(e)h(solv)o(ed,)e(and)h(\(3\))e(ho)o(w)h(w)o(ould)224 1448 y(suc)o(h)h(a)f(solution)h(b)q(e)f(implemen)o(ted)i(in)f(the)g (brain.)295 1509 y(Of)h(course,)g(no)g(theory)f(is)i(useful)g(if)f(it)g (do)q(es)h(not)e(mak)o(e)h(predictions;)i(one)224 1570 y(adv)m(an)o(tage)13 b(of)g(computational)h(theories)g(is)g(that)f (they)h(often)f(mak)o(e)g(quite)h(pre-)224 1632 y(cise)i(quan)o (titativ)o(e)e(predictions.)22 b(After)14 b(w)o(e)g(ha)o(v)o(e)h (outlined)h(sev)o(eral)f(mo)q(dels)g(of)224 1693 y(sensorimotor)e(in)o (tegration,)g(w)o(e)g(presen)o(t)h(recen)o(t)f(data)g(whic)o(h)h(allo)o (ws)g(us)f(to)g(as-)224 1754 y(sess)h(these)h(mo)q(dels)g(critically)l (.)22 b(These)15 b(data)e(w)o(ere)h(obtained)h(from)f(b)q(eha)o(vioral) 224 1815 y(exp)q(erimen)o(ts)e(dealing)g(with)f(\(1\))f(the)h(m)o (ultisensory)h(in)o(tegration)f(system)f(whic)o(h)224 1876 y(spatially)j(lo)q(calizes)i(visual)e(and)f(auditory)g(targets,)f (and)h(\(2\))f(the)i(sensorimotor)224 1937 y(in)o(tegration)f(system)f (whic)o(h)h(estimates)g(the)g(lo)q(cation)g(of)f(the)h(hand)g(during)g (arm)224 1998 y(mo)o(v)o(emen)o(ts.)29 b(By)19 b(examining)h(the)e(b)q (eha)o(vioral)i(data)e(in)h(ligh)o(t)g(of)f(the)h(mo)q(del)224 2059 y(predictions)c(w)o(e)d(narro)o(w)g(the)h(searc)o(h)g(for)f (theories)i(of)e(visuo-auditory)i(in)o(tegra-)224 2121 y(tion)k(and)f(adaptation,)g(and)h(p)q(osit)g(the)f(existence)i(of)e (an)g(in)o(ternal)h(mo)q(del)g(for)224 2182 y(sensorimotor)d(in)o (tegration.)p eop %%Page: 3 3 3 2 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)451 b Fh(Sensorimotor)15 b(In)o(tegration)60 b Fk(3)224 286 y Fr(1.1)c(The)18 b(Need)g(for)h(In)n(tegration)224 377 y Fk(While)d(it)f(ma)o(y)f(b)q(e)i(clear)f(that)f(the)h(cen)o(tral)g (nerv)o(ous)f(system)h(\(CNS\))f(needs)h(to)224 438 y(in)o(tegrate)i (information)h(from)e(di\013eren)o(t)i(senses,)g(it)f(is)h(nonetheless) h(useful)f(to)224 499 y(examine)e(the)f(p)q(ossible)i(sp)q(eci\014c)g (adv)m(an)o(tages)d(this)h(in)o(tegration)g(ma)o(y)g(pro)o(vide.)224 560 y(The)f(study)f(of)g(rob)q(otics)g(suggests)g(the)g(follo)o(wing)h (adv)m(an)o(tages)f(ma)o(y)f(b)q(e)i(gained)224 621 y(b)o(y)20 b(a)h(system)f(whic)o(h)h(com)o(bines)g(m)o(ultiple)h(information)f (sources)f(\(Durran)o(t-)224 683 y(Wh)o(yte)15 b(1988;)f(Abidi)j(&)e (Gonzalez)h(1992\):)292 781 y Fg(\017)23 b Fk(Multiple)17 b(sensors)d(pro)o(vide)h(redundancy)l(,)h(whic)o(h)g(can)f(b)q(oth)g (reduce)h(the)338 842 y(o)o(v)o(erall)e(uncertain)o(t)o(y)g(of)g (sensory)f(estimates)h(and)g(increase)h(the)f(reliabil-)338 903 y(it)o(y)h(in)h(the)f(case)h(of)e(sensor)h(failure.)292 1002 y Fg(\017)23 b Fk(Complemen)o(tary)f(information)g(ma)o(y)f(b)q(e) i(gained)g(from)e(the)i(di\013eren)o(t)338 1063 y(senses.)d(By)14 b(in)o(tegrating)f(information)h(across)f(sensors,)h(it)g(ma)o(y)f(b)q (e)i(p)q(os-)338 1124 y(sible)g(to)d(deriv)o(e)i(information)f(that)g (is)g(imp)q(ossible)j(to)c(deriv)o(e)i(using)g(eac)o(h)338 1185 y(individual)20 b(sensor)c(\(e.g.)g(stereo)g(vision)i(is)f(only)g (p)q(ossible)i(b)o(y)d(using)i(in-)338 1246 y(formation)c(from)h(b)q (oth)g(ey)o(es\).)292 1345 y Fg(\017)23 b Fk(More)11 b(timely)i(information)f(ma)o(y)f(b)q(e)h(obtained)h(through)e (parallelism,)j(as)338 1406 y(eac)o(h)h(sensor)g(ma)o(y)g(ha)o(v)o(e)g (a)f(di\013eren)o(t)i(latency)l(.)21 b(F)l(or)14 b(example,)i(the)g (early)338 1467 y(stages)f(of)h(visual)i(information)e(pro)q(cessing)h (can)g(tak)o(e)f(around)g(150)f(ms,)338 1528 y(as)f(compared)h(to)f(30) h(ms)f(for)g(auditory)h(information.)20 b(Suc)o(h)c(di\013erences)338 1590 y(in)e(latency)f(ma)o(y)f(b)q(e)i(traded-o\013)e(with)h (di\013erences)i(in)e(accuracy)g(in)h(order)338 1651 y(to)j(obtain)h(a)f(rapid)h(but)g(crude)g(sensory)g(estimate)f(early)h (on,)g(whic)o(h)g(is)338 1712 y(later)d(re\014ned)h(b)o(y)f(inputs)h (from)f(other)g(sensors.)295 1810 y(By)20 b(translating)f(the)h(in)o (tuitiv)o(e)h(notion)f(of)f(the)h(adv)m(an)o(tage)f(gained)i(from)224 1871 y(in)o(tegration)e(in)o(to)h(a)f(quan)o(titativ)o(e)g(measure,)h (or)f Ff(c)n(ost)g(function)p Fk(,)h(it)f(b)q(ecomes)224 1933 y(p)q(ossible)f(to)e(form)o(ulate)f(a)h(computational)h(theory)f (of)f(sensorimotor)h(in)o(tegra-)224 1994 y(tion.)k(F)l(or)15 b(example,)g(the)h(ab)q(o)o(v)o(e)e(sources)i(of)e(adv)m(an)o(tage)h (could)h(b)q(e)g(quan)o(ti\014ed)224 2055 y(through)g(costs)g(based)g (on)h(\\uncertain)o(t)o(y)f(in)h(sensor)f(estimate",)g(\\probabilit)o (y)224 2116 y(of)11 b(failure",)h(or)f(\\latency)g(of)g(resp)q(onse".) 19 b(Suc)o(h)11 b(a)g(theory)g(is)g(useful)i(b)q(oth)e(for)f(de-)224 2177 y(sign)i(and)f(mo)q(deling)i(purp)q(oses.)19 b(Giv)o(en)12 b(a)e(cost)h(function,)h(one)g(can)f(de\014ne)h(what)224 2238 y(is)f(mean)o(t)f(b)o(y)g(an)g Ff(optimal)h Fk(in)o(tegration)f (of)g(sev)o(eral)g(information)h(sources,)g(an)f(ap-)224 2299 y(proac)o(h)k(that)f(is)i(commonplace)f(in)h(engineering.)21 b(T)l(o)14 b(understand)h(the)f(cen)o(tral)224 2361 y(nerv)o(ous)e (system)f(w)o(e)h(will)h(mak)o(e)e(use)h(of)g(a)f(rev)o (erse-engineering)j(approac)o(h:)k(W)l(e)p eop %%Page: 4 4 4 3 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)451 b Fh(Sensorimotor)15 b(In)o(tegration)60 b Fk(4)224 286 y(use)13 b(the)g(b)q(eha)o(vior)g(of)f(the)h(system)f(to)g(infer)h(a)g (cost)f(function)h(whose)g(minimiza-)224 348 y(tion)g(w)o(ould)f(repro) q(duce)i(this)e(b)q(eha)o(vior.)20 b(In)13 b(this)g(regard)e(our)h (approac)o(h)g(is)h(v)o(ery)224 409 y(similar)18 b(to)e(the)h (optimization)h(framew)o(ork)d(that)h(has)g(b)q(een)i(used)f(extensiv)o (ely)224 470 y(in)i(the)f(study)g(of)f(mo)o(v)o(emen)o(t)g(planning)j (\(Nelson)e(1983,)f(Hogan)g(1984,)g(Flash)224 531 y(&)f(Hogan)e(1985,)g (Uno)h(et)g(al.)g(1989,)f(W)l(olp)q(ert)i(et)f(al.)g(1995a\).)295 592 y(Although)i(all)g(the)g(ab)q(o)o(v)o(e)f(uses)h(of)f(in)o (tegration)g(ma)o(y)g(pla)o(y)h(an)f(imp)q(ortan)o(t)224 653 y(role)22 b(for)g(the)g(organism,)g(w)o(e)g(will)h(fo)q(cus)g(on)e (only)i(one:)33 b(reducing)23 b(the)f(un-)224 714 y(certain)o(t)o(y)g (in)h(sensor)f(estimates.)40 b(W)l(e)22 b(view)g(the)h(p)q (erceptuomotor)e(system)224 776 y(from)g(the)g(p)q(oin)o(t)h(of)f(view) h(of)e(an)i(observ)o(er)e(attempting)h(to)g(estimate)g(some)224 837 y(relev)m(an)o(t)h(attribute)f(of)g(the)g(en)o(vironmen)o(t)g(suc)o (h)h(as)f(the)g(lo)q(cation)h(of)f(a)g(tar-)224 898 y(get)13 b(\(Gibson)h(1961,)d(Ric)o(hards)k(1988,)d(Bennett)i(et)f(al.)g (1989\).)18 b(W)l(e)13 b(test)g(the)h(h)o(y-)224 959 y(p)q(othesis)k(that)f(the)h(observ)o(er)f(is)h(in)o(tegrating)f(m)o (ultiple)i(information)f(sources)224 1020 y(so)f(as)g(to)g(minimize)j (the)d(uncertain)o(t)o(y)h(in)g(this)g(estimate.)27 b(There)17 b(are)h(sev)o(eral)224 1081 y(w)o(a)o(ys)f(in)i(whic)o(h)g(this)f(cost) f(can)i(b)q(e)f(de\014ned,)i(whic)o(h)f(w)o(e)e(will)j(explore)f(in)f (sec-)224 1142 y(tion)f(2.)23 b(W)l(e)16 b(also)g(explore)h(the)g (relation)g(b)q(et)o(w)o(een)f(sensorimotor)g(in)o(tegration)224 1204 y(and)e(adaptation.)19 b(Giv)o(en)14 b(a)f(particular)i(cost)e (for)g(in)o(tegration,)g(one)h(can)g(deriv)o(e)224 1265 y(a)f(learning)i(rule)f(for)f(adaptation)g(consisten)o(t)h(with)g(that) e(cost.)19 b(W)l(e)14 b(expand)g(on)224 1326 y(this)i(in)g(section)g (2.3)e(and)h(rep)q(ort)g(on)g(some)g(exp)q(erimen)o(ts)h(in)g(section)g (3.)295 1387 y(The)g(observ)o(er)g(approac)o(h)g(has)h(b)q(een)g(often) f(used)h(in)h(the)e(study)h(of)f(purely)224 1448 y(p)q(erceptual)23 b(systems)d(\(e.g.)g(Nak)m(a)o(y)o(ama)g(&)h(Shimo)s(jo)g(1992\).)74 b(One)21 b(di\013er-)224 1509 y(ence)c(b)q(et)o(w)o(een)g(p)q (erceptual)h(and)e(sensorimotor)g(systems)g(is)h(that,)e(in)i(the)g (lat-)224 1570 y(ter,)24 b(the)e(observ)o(er)h(ma)o(y)e(also)i(need)g (to)f(dynamically)j(in)o(tegrate)d(rea\013eren)o(t)224 1632 y(sensory)c(signals)g(and)g(copies)h(of)e(motor)g(e\013erence)h (that)f(arise)h(during)g(mo)o(v)o(e-)224 1693 y(men)o(t)13 b(\(W)l(olp)q(ert,)h(Ghahramani)g(&)f(Jordan)h(1995b\).)k(W)l(e)c (explore)g(this)g(from)f(a)224 1754 y(computational)k(p)q(ersp)q(ectiv) o(e)h(in)g(section)f(2.2.1)e(and)i(rep)q(ort)f(on)g(one)h(relev)m(an)o (t)224 1815 y(exp)q(erimen)o(t)f(in)g(section)g(4.)224 1964 y Fl(2)67 b(The)22 b(Computational)i(Mo)r(del)224 2071 y Fk(The)d(presence)g(of)f(information)g(common)g(to)f(m)o (ultiple)j(sensory)e(mo)q(dalities)224 2132 y(p)q(oses)c(t)o(w)o(o)e(c) o(hallenging)j(computational)f(problems)g(for)e(the)i(CNS.)f(First,)g (the)224 2193 y(signals)e(from)f(di\013eren)o(t)g(mo)q(dalities)i(m)o (ust)e(b)q(e)g(con)o(v)o(erted)g(in)o(to)h(a)f(common)f(rep-)224 2254 y(resen)o(tation)18 b(appropriate)h(for)e(fusion.)30 b(Second,)20 b(using)f(some)f(sensible)i(com-)224 2315 y(bination)i(rule,)h(signals)f(in)g(this)f(common)g(represen)o(tation)g (m)o(ust)f(b)q(e)i(fused.)p eop %%Page: 5 5 5 4 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)451 b Fh(Sensorimotor)15 b(In)o(tegration)60 b Fk(5)224 286 y(Although)21 b(these)f(t)o(w)o(o)f(problems)h(need)h(not)f(b)q(e)g (solv)o(ed)h(sequen)o(tially)l(,)h(or)e(b)o(y)224 348 y(separate)h(neural)h(pro)q(cesses,)g(the)f(distinction)i(app)q(ears)e (to)g(b)q(e)g(useful)i(from)224 409 y(a)h(computational)g(p)q(ersp)q (ectiv)o(e.)47 b(F)l(urthermore,)25 b(the)f(existence)h(of)f(m)o(ulti-) 224 470 y(ple)d(aligned)h(sensory)d(maps)h(in)h(sensorimotor)e(areas)h (suc)o(h)g(as)g(the)g(sup)q(erior)224 531 y(colliculus)i(suggests)d (that)g(this)g(distinction)i(is)f(also)f(relev)m(an)o(t)h(at)f(the)g (neural)224 592 y(lev)o(el)d(\(Wic)o(k)o(elgren)f(1971,)e(Harris)h(et)g (al.)h(1980,)e(Kn)o(udsen)i(&)g(Kn)o(udsen)h(1989a,)224 653 y(Stein)23 b(&)g(Meredith)g(1993\).)40 b(Our)22 b(fo)q(cus)h(will)h (b)q(e)f(on)f(the)h(latter)e(problem,)224 714 y(whic)o(h)15 b(w)o(e)f(refer)g(to)g(as)f(the)i Ff(inte)n(gr)n(ation)f(pr)n(oblem)p Fk(,)g(although)g(w)o(e)g(will)i(also)e(dis-)224 776 y(cuss)20 b(brie\015y)h(the)f(former)f(problem,)i(whic)o(h)f(w)o(e)g (refer)f(to)g(as)h(the)f Ff(c)n(o)n(or)n(dinate)224 837 y(tr)n(ansformation)d(pr)n(oblem)p Fk(.)224 963 y Fr(2.1)56 b(The)18 b(Co)r(ordinate)g(T)-5 b(ransformation)18 b(Problem)224 1053 y Fk(Consider)h(a)e(system)g(whic)o(h)i(receiv)o(es)g(inputs)g (from)e(t)o(w)o(o)f(sources,)i Fe(X)j Fk(and)d Fe(Y)s(;)224 1115 y Fk(whic)o(h)12 b(could)h(corresp)q(ond)e(for)g(example)h(to)f(t) o(w)o(o)f(sensory)h(mo)q(dalities.)20 b(In)12 b(order)224 1176 y(to)17 b(transform)f(these)h(sources)h(in)o(to)f(a)g(common)g (represen)o(tation,)h(the)f(system)224 1237 y(m)o(ust)f(\014rst)f (\014lter)i(information)f(that)f(is)i(common)e(to)h(b)q(oth)g(mo)q (dalities,)h(while)224 1298 y(rejecting)i(that)f(whic)o(h)i(is)f(not.) 30 b(F)l(or)18 b(example,)i(the)f(lo)q(cation)h(of)e(activit)o(y)h(on) 224 1359 y(the)11 b(retina)h(and)f(an)g(auditory)g(in)o(teraural)g (time)h(di\013erence)g(b)q(oth)f(re\015ect)g(spatial)224 1420 y(attributes)j(of)h(a)f(visuo-auditory)h(stim)o(ulus.)20 b(In)c(this)e(case,)h(the)f(system)g(w)o(ould)224 1481 y(need)k(to)f(extract)f(this)i(commonalit)o(y)f(and)g(suppress)h(other) e(attributes,)h(suc)o(h)224 1543 y(as)f(color)h(and)g(pitc)o(h,)g(in)h (order)e(to)g(generate)g(a)g(map)h(registering)g(b)q(oth)g(visual)224 1604 y(and)g(auditory)g(space.)24 b(While)19 b(it)e(is)g(plausible)i (that)d(the)h(separation)f(of)h(these)224 1665 y(sources)d(ma)o(y)f(b)q (e)h(largely)h(driv)o(en)f(b)o(y)g(innate)g(wiring)h(of)e(the)h(CNS,)f (w)o(e)h(will)h(ask)224 1726 y(to)20 b(what)h(exten)o(t)f(a)h (computational)g(theory)f(based)h(on)g(activit)o(y-dep)q(enden)o(t)224 1787 y(c)o(hanges)15 b(could)i(accoun)o(t)d(for)h(it.)295 1848 y(The)h(idea)g(of)g(extracting)f(common)h(information)g(from)f (di\013eren)o(t)h(sensory)224 1909 y(mo)q(dalities)22 b(can)e(b)q(e)h(phrased)g(succinctly)h(in)f(the)f(language)h(of)f (information)224 1971 y(theory)l(.)j(Information)16 b(is)g(de\014ned)i (as)d(the)h(capacit)o(y)h(for)e(a)h(signal)h(to)e(reduce)i(a)224 2032 y(system's)10 b(uncertain)o(t)o(y)i(\(Co)o(v)o(er)e(&)h(Thomas)g (1991\).)17 b(The)11 b(information)g(con)o(ten)o(t)224 2093 y(of)k(a)g(source)g Fe(X)j Fk(is)e(de\014ned)h(as)e(\(Shannon)g (1948\):)516 2223 y Fe(H)t Fk(\()p Fe(X)t Fk(\))10 b(=)j Fg(\000)757 2171 y Fd(n)738 2183 y Fc(X)737 2274 y Fd(j)r Fb(=1)806 2223 y Fe(P)6 b Fk(\()p Fe(X)16 b Fk(=)d Fe(x)987 2230 y Fd(j)1005 2223 y Fk(\))8 b(log)g Fe(P)e Fk(\()p Fe(X)16 b Fk(=)d Fe(x)1278 2230 y Fd(j)1296 2223 y Fk(\))p Fe(;)233 b Fk(\(1\))224 2367 y(where)15 b Fe(P)6 b Fk(\()p Fe(X)16 b Fk(=)d Fe(x)536 2374 y Fd(j)554 2367 y Fk(\))i(is)g(the)g (probabilit)o(y)h(of)e(receiving)j(input)e Fe(x)1330 2374 y Fd(j)1349 2367 y Fk(.)k(\(F)l(or)14 b(con)o(tin-)p eop %%Page: 6 6 6 5 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)451 b Fh(Sensorimotor)15 b(In)o(tegration)60 b Fk(6)224 286 y(uous)18 b(signals,)g(a)f(limiting)i(argumen)o(t)e(is)h(used)g(to)f (con)o(v)o(ert)f(this)i(sum)g(in)o(to)f(an)224 348 y(in)o(tegral.\))27 b(The)18 b(information)g(common)g(to)f(t)o(w)o(o)f(transformed)h (signals)h Fe(f)5 b Fk(\()p Fe(X)t Fk(\))224 409 y(and)16 b Fe(g)r Fk(\()p Fe(Y)9 b Fk(\),)14 b(kno)o(wn)h(as)g(the)h Ff(mutual)h(information)p Fk(,)e(is)g(de\014ned)i(as:)366 515 y Fe(I)t Fk(\()p Fe(f)5 b Fk(\()p Fe(X)t Fk(\))p Fe(;)j(g)q Fk(\()p Fe(Y)f Fk(\)\))12 b(=)h Fe(H)t Fk(\()p Fe(f)5 b Fk(\()p Fe(X)t Fk(\)\))j(+)i Fe(H)t Fk(\()p Fe(g)r Fk(\()p Fe(Y)f Fk(\)\))g Fg(\000)i Fe(H)t Fk(\()p Fe(f)5 b Fk(\()p Fe(X)t Fk(\))p Fe(;)j(g)q Fk(\()p Fe(Y)f Fk(\)\))p Fe(:)83 b Fk(\(2\))224 621 y(Th)o(us,)21 b(a)f(natural)g (goal)g(for)g(a)g(m)o(ultisensory)g(system)g(with)h(t)o(w)o(o)d(co)q (ordinate)224 682 y(transformations)c Fe(f)20 b Fk(and)c Fe(g)g Fk(is)g(to)e(maximize)j Fe(I)t Fk(\()p Fe(f)5 b Fk(\()p Fe(X)t Fk(\))p Fe(;)j(g)q Fk(\()p Fe(Y)f Fk(\)\).)295 744 y(Building)23 b(on)d(a)g(large)g(literature)h(on)g (information-maximizing)h(mo)q(dels)224 805 y(of)17 b(p)q(erceptual)h (pro)q(cessing)g(\(A)o(ttnea)o(v)o(e)e(1954,)f(Barlo)o(w)i(1961,)f (Linsk)o(er)i(1986\),)224 866 y(Bec)o(k)o(er)f(&)g(Hin)o(ton)f (\(1992\))f(prop)q(osed)i(utilizing)i(m)o(utual)e(information)g(as)f (the)224 927 y(basis)c(for)e(an)h(optimization)h(algorithm)f(that)f (extracts)g(information)h(from)f(m)o(ul-)224 988 y(tiple)18 b(input)g(streams.)24 b(They)17 b(sho)o(w)o(ed)g(that)f(a)h(mo)q(del)g (based)h(on)e(maximizing)224 1049 y(m)o(utual)f(information)g(could)h (disco)o(v)o(er)f(stereo)g(disparit)o(y)h(from)e(a)g(random-dot)224 1110 y(stereogram,)i(capturing)i(in)o(teresting)f(structure)g(that)g (is)g(not)g(presen)o(t)g(in)h(an)o(y)224 1172 y(single)f(input)f (source.)295 1233 y(Unfortunately)l(,)h(the)h(idea)g(of)f(maximizing)h (m)o(utual)g(information)f(cannot)224 1294 y(capture)j(one)f(of)g(the)g (fundamen)o(tal)h(prop)q(erties)g(of)f(co)q(ordinate)g(transforma-)224 1355 y(tions)j(in)h(the)f(CNS:)f(top)q(ographic)h(organization.)40 b(An)o(y)22 b(one-to-one)f(trans-)224 1416 y(formation)g(of)h Fe(f)27 b Fk(or)22 b Fe(g)h Fk(will)h(not)d(a\013ect)h Fe(I)t Fk(\()p Fe(f)5 b Fk(\()p Fe(X)t Fk(\))p Fe(;)j(g)q Fk(\()p Fe(Y)f Fk(\)\),)23 b(while)g(p)q(oten)o(tially)224 1477 y(making)d(the)g(co)q(ordinate)g(transformation)e(b)q(et)o(w)o (een)i Fe(f)5 b Fk(\()p Fe(X)t Fk(\))18 b(and)i Fe(g)r Fk(\()p Fe(Y)9 b Fk(\))19 b(arbi-)224 1538 y(trarily)k(complex.)42 b(F)l(ortunately)l(,)23 b(it)g(is)g(p)q(ossible)h(to)e(augmen)o(t)f (the)i(m)o(utual)224 1600 y(information)d(cost)f(function)i(with)f(a)g (term)f(incorp)q(orating)h(top)q(ographic)g(or-)224 1661 y(der)g(\(Ghahramani)f(1995;)h(Chapter)f(5\).)32 b(Sim)o(ulations)21 b(indicate)g(that)e(using)224 1722 y(this)d(augmen)o(ted)f(cost)g (function,)g(t)o(w)o(o)f(m)o(utually-aligned)k(top)q(ographic)d(maps) 224 1783 y(can)f(arise)h(through)f(activit)o(y-dep)q(enden)o(t)i (learning.)40 b(This)15 b(suggests)e(that)h(the)224 1844 y(com)o(bination)g(of)e(information-theoretic)i(principles)h(with)f (top)q(ographic)f(orga-)224 1905 y(nization)i(ma)o(y)f(pro)o(vide)g(a)g (basis)h(for)e(solving)i(the)g(co)q(ordinate)f(transformation)224 1966 y(problem.)20 b(In)12 b(the)g(remainder)g(of)f(this)h(c)o(hapter,) g(w)o(e)g(will)h(fo)q(cus)f(on)f(the)h(problem)224 2028 y(of)i(in)o(tegrating)h(signals)h(once)f(they)f(ha)o(v)o(e)h(b)q(een)g (transformed)f(in)o(to)h(a)f(common)224 2089 y(co)q(ordinate)i(frame.) 224 2215 y Fr(2.2)56 b(The)18 b(In)n(tegration)g(Problem)224 2306 y Fk(Consider)k Fe(n)g Fk(signals)g(originating)g(from)e(separate) h(sources)g(whic)o(h)h(ha)o(v)o(e)f(al-)224 2367 y(ready)i(b)q(een)g (con)o(v)o(erted)f(in)o(to)h(a)f(common)g(represen)o(tation.)42 b(The)23 b(simplest)p eop %%Page: 7 7 7 6 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)451 b Fh(Sensorimotor)15 b(In)o(tegration)60 b Fk(7)224 286 y(observ)o(er)15 b(op)q(erates)g(under)h(the)f(assumption)h(that)f(eac) o(h)g(of)g(these)g(signals)h(is)g(a)224 348 y(noisy)c(measuremen)o(t)f (of)f(some)h(underlying)i(quan)o(tit)o(y)e(that)f(is)i(to)e(b)q(e)i (estimated,)224 409 y(suc)o(h)j(as)f(the)h(lo)q(cation)h(or)e(motion)g (v)o(ector)g(of)h(an)f(ob)s(ject.)19 b(The)c(measuremen)o(ts)224 470 y Fe(x)250 477 y Fd(i)264 470 y Fk(,)22 b Fe(i)12 b Fk(=)h Fg(f)p Fk(1)p Fe(;)8 b(:)g(:)g(:)t(;)g(n)p Fg(g)o Fk(,)22 b(can)f(b)q(e)g(mo)q(deled)h(b)o(y)e(assuming)h(that)f(the)h (underlying)224 531 y(quan)o(tit)o(y)15 b Fe(x)g Fk(has)g(b)q(een)h (corrupted)g(b)o(y)f(adding)h(noise)g Fe(\017)1187 538 y Fd(i)1201 531 y Fk(:)807 636 y Fe(x)833 643 y Fd(i)860 636 y Fk(=)d Fe(x)d Fk(+)h Fe(\017)1008 643 y Fd(i)1022 636 y Fe(:)525 b Fk(\(3\))224 740 y(Whic)o(h)14 b(estimate)f(of)f Fe(x)h Fk(is)g(optimal)h(dep)q(ends)g(on)f(the)g(cost)f(function)i (used.)20 b(The)224 801 y(statistical)d(theory)g(of)f(maxim)o(um)h(lik) o(eliho)q(o)q(d)i(estimation)f(suggests)e(using)h(as)224 863 y(a)e(cost)g(the)g(probabilit)o(y)h(of)f(the)h(measuremen)o(ts)e (giv)o(en)i(the)f(estimate:)729 967 y Fe(P)6 b Fk(\()p Fe(x)808 974 y Fb(1)828 967 y Fe(;)i(x)875 974 y Fb(2)894 967 y Fe(;)g(:)g(:)g(:)d(;)j(x)1022 974 y Fd(n)1044 967 y Fg(j)p Fe(x)p Fk(\))p Fe(:)446 b Fk(\(4\))224 1072 y(Assuming,)16 b(for)f(no)o(w,)g(that)g(eac)o(h)h(of)f(the)h(noise)g (pro)q(cesses)g Fe(\017)1286 1079 y Fd(i)1317 1072 y Fk(is)g(indep)q(enden)o(t,)224 1133 y(the)f(lik)o(eliho)q(o)q(d)k(can)c (b)q(e)h(factored:)592 1252 y Fe(P)6 b Fk(\()p Fe(x)671 1259 y Fb(1)690 1252 y Fe(;)i(x)737 1259 y Fb(2)756 1252 y Fe(;)g(:)g(:)g(:)d(;)j(x)884 1259 y Fd(n)907 1252 y Fg(j)p Fe(x)p Fk(\))k(=)1042 1199 y Fd(n)1026 1212 y Fc(Y)1024 1303 y Fd(i)p Fb(=1)1088 1252 y Fe(P)6 b Fk(\()p Fe(x)1167 1259 y Fd(i)1182 1252 y Fg(j)p Fe(x)p Fk(\))p Fe(:)308 b Fk(\(5\))224 1386 y(This)20 b(expression)h(mak)o(es)d(it)i (clear)g(that)f(to)g(obtain)g(a)h(maxim)o(um)f(lik)o(eliho)q(o)q(d)224 1447 y(estimate)d(\(MLE\))g(of)g Fe(x)p Fk(,)g(the)g(system)g(m)o(ust)f (ha)o(v)o(e)h(a)g(statistical)h(mo)q(del)g(of)f(the)224 1509 y(pro)q(cess)i(generating)g(the)g(data)f Fe(P)6 b Fk(\()p Fe(x)876 1516 y Fd(i)890 1509 y Fg(j)p Fe(x)p Fk(\).)27 b(If)18 b(eac)o(h)g(noise)g(source)g(has)f(a)h(zero-)224 1570 y(mean)g(Gaussian)g(distribution)h(of)e(di\013ering)i(v)m(ariance) g Fe(\033)1240 1553 y Fb(2)1238 1582 y Fd(i)1259 1570 y Fk(,)f(the)g(MLE)f(of)h Fe(x)f Fk(is)224 1631 y(giv)o(en)f(b)o(y)633 1715 y(^)-26 b Fe(x)13 b Fk(=)736 1662 y Fd(n)717 1675 y Fc(X)718 1766 y Fd(i)p Fb(=1)827 1684 y Fe(\033)855 1665 y Fp(\000)p Fb(2)853 1697 y Fd(i)902 1684 y Fe(x)928 1691 y Fd(i)p 790 1705 190 2 v 790 1718 a Fc(P)833 1731 y Fd(n)833 1762 y(j)r Fb(=1)904 1750 y Fe(\033)932 1731 y Fp(\000)p Fb(2)930 1763 y Fd(j)997 1715 y Fk(=)1064 1662 y Fd(n)1045 1675 y Fc(X)1046 1766 y Fd(i)p Fb(=1)1112 1715 y Fe(w)1145 1722 y Fd(i)1159 1715 y Fe(x)1185 1722 y Fd(i)1199 1715 y Fe(;)348 b Fk(\(6\))224 1849 y(where)13 b Fe(w)386 1856 y Fd(i)412 1849 y Fk(=)g Fe(\033)488 1830 y Fp(\000)p Fb(2)486 1862 y Fd(i)535 1849 y Fe(=)566 1802 y Fc(\020)590 1817 y(P)634 1830 y Fd(n)634 1860 y(j)r Fb(=1)705 1849 y Fe(\033)733 1830 y Fp(\000)p Fb(2)731 1862 y Fd(j)780 1802 y Fc(\021)812 1849 y Fe(:)f Fk(This)i(in)o (tegration)e(rule)i(states)e(that)g(the)h(op-)224 1910 y(timal)j(estimate)f(linearly)i(com)o(bines)f(the)f(signals,)g(w)o (eigh)o(ted)h(b)o(y)f(their)g(in)o(v)o(erse)224 1971 y(v)m(ariances.)295 2032 y(In)o(tegration)i(rule)g(\(6\))f(can)i(also)e (b)q(e)i(obtained)g(if)f(w)o(e)g(assume)g(that)f(all)i(w)o(e)224 2093 y(kno)o(w)f(ab)q(out)f(eac)o(h)h(signal)h(is)g(its)f(v)m(ariance)h (or)e(uncertain)o(t)o(y)l(,)h(and)g(w)o(e)g(wish)g(to)224 2155 y(com)o(bine)g(them)e(linearly)j(so)d(as)h(to)f(minimize)j(the)e (v)m(ariance)g(of)g(our)f(estimate.)224 2216 y(The)h(v)m(ariance)g(of)f (this)g(estimate)g(is)748 2335 y Fe(\033)776 2316 y Fb(2)776 2346 y(^)-20 b Fd(x)809 2335 y Fk(=)13 b(\()893 2282 y Fd(n)875 2294 y Fc(X)876 2385 y Fd(i)p Fb(=1)942 2335 y Fe(\033)970 2316 y Fp(\000)p Fb(2)968 2348 y Fd(i)1017 2335 y Fk(\))1035 2316 y Fp(\000)p Fb(1)1081 2335 y Fe(;)466 b Fk(\(7\))p eop %%Page: 8 8 8 7 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)451 b Fh(Sensorimotor)15 b(In)o(tegration)60 b Fk(8)224 286 y(whic)o(h)21 b(is)f(smaller)g(than)f(the)h(v)m(ariance)g(of)g(eac)o(h) f(of)g(the)h(signals)g(and)g(of)f(an)o(y)224 348 y(other)c(un)o(biased) h(estimator.)295 409 y(Finally)l(,)23 b(\(6\))d(can)h(also)f(b)q(e)i (motiv)m(ated)f(from)f(an)g(information-theoretic)224 470 y(framew)o(ork)g(b)o(y)i(noting)g(that)f(the)h(information)g(con)o (ten)o(t)f(of)g(a)h(Gaussian)f(is)224 531 y(in)o(v)o(ersely)i(related)e (to)g(its)g(v)m(ariance.)40 b(Equation)21 b(\(6\))f(therefore)h (de\014nes)i(the)224 592 y(un)o(biased)g(linear)f(estimate)f(with)h (maximal)f(information)h(con)o(ten)o(t)e(under)i(a)224 653 y(Gaussian)15 b(noise)h(mo)q(del.)295 714 y(Keeping)j(in)f(mind)h (these)f(alternativ)o(e)g(in)o(terpretations,)g(w)o(e)f(refer)h(to)f (the)224 776 y(estimate)10 b(giv)o(en)h(b)o(y)f(\(6\))g(as)g(the)g Ff(minimum)i(varianc)n(e)f(estimate)g Fk(\(MVE\).)e(Exten-)224 837 y(sions)16 b(to)e(non-indep)q(endent)j(noise,)e(m)o(ultiv)m(ariate) i(measuremen)o(ts,)d(and)h(other)224 898 y(distributions)k(can)f(b)q(e) g(readily)g(obtained.)27 b(W)l(e)18 b(no)o(w)f(fo)q(cus)g(on)h(an)f (extension)224 959 y(of)e(the)g(MVE)g(that)g(is)g(particularly)i(relev) m(an)o(t)f(to)e(sensorimotor)h(in)o(tegration.)224 1080 y Fa(2.2.1)52 b(The)17 b(Kalman)h(\014lter.)46 b Fk(A)15 b(particularly)h(useful)g(and)f(general)h(form)224 1142 y(of)i(estimator)g(resulting)h(from)f(the)g(minim)o(um)h(v)m(ariance)h (in)o(tegration)e(princi-)224 1203 y(ple)23 b(is)f(the)g(Kalman)g (\014lter)h(\(Kalman)f(&)g(Bucy)g(1961\).)38 b(This)23 b(extends)f(the)224 1264 y(framew)o(ork)14 b(w)o(e)h(ha)o(v)o(e)g (describ)q(ed)i(in)f(t)o(w)o(o)e(w)o(a)o(ys.)19 b(First,)14 b(the)h(v)m(alue)i(w)o(e)e(wish)g(to)224 1325 y(estimate,)j(kno)o(wn)f (as)g(the)g Ff(state)p Fk(,)g(is)h(not)f(constan)o(t)g(in)h(time)g(but) f(dep)q(ends)i(on)224 1386 y(the)c(previous)h(state)f(through)g(a)f (linear)j(dynamical)f(equation:)680 1472 y Fa(x)708 1479 y Fd(t)p Fb(+1)780 1472 y Fk(=)d Fe(A)p Fa(x)890 1479 y Fd(t)915 1472 y Fk(+)d Fe(B)r Fa(u)1025 1479 y Fd(t)1051 1472 y Fk(+)h Fa(w)1135 1479 y Fd(t)1149 1472 y Fe(;)398 b Fk(\(8\))224 1558 y(where)13 b Fa(u)382 1565 y Fd(t)410 1558 y Fk(is)h(some)e(input)i(or)f(con)o(trol)g(signal)h(that)e(the)h (system)g(can)g(observ)o(e)f(at)224 1619 y(time)h Fe(t)p Fk(,)g(and)f Fa(w)490 1626 y Fd(t)517 1619 y Fk(is)h(zero)f(mean)g (noise.)20 b(Second,)13 b(the)f(measuremen)o(ts)g(observ)o(ed,)224 1681 y(denoted)h(b)o(y)f Fa(y)481 1688 y Fd(t)495 1681 y Fk(,)h(are)f(related)g(to)g(the)g(state)g(through)g(another)f(linear) j(equation:)775 1767 y Fa(y)803 1774 y Fd(t)830 1767 y Fk(=)f Fe(C)s Fa(x)942 1774 y Fd(t)966 1767 y Fk(+)e Fa(v)1040 1774 y Fd(t)1054 1767 y Fe(;)493 b Fk(\(9\))224 1853 y(where)15 b Fa(v)383 1860 y Fd(t)412 1853 y Fk(is)g(again)f(zero) g(mean)h(noise.)20 b(The)15 b(basic)g(idea)g(of)f(the)g(Kalman)h (\014lter)224 1914 y(is)d(that)f(an)h(optimal)g(estimate)g(of)f(the)h (state,)f Fa(^)-26 b(x)1035 1921 y Fd(t)p Fb(+1)1094 1914 y Fk(,)12 b(can)g(b)q(e)g(obtained)h(b)o(y)e(fusing)224 1975 y(the)18 b(input)h Fa(u)458 1982 y Fd(t)473 1975 y Fk(,)f(the)g(observ)m(ations)g Fa(y)875 1982 y Fd(t)890 1975 y Fk(,)g(and)g(the)g(previous)h(state)e(estimate)h Fa(^)-27 b(x)1603 1982 y Fd(t)224 2036 y Fk(using)18 b(a)e(mo)q(del)h(of)g(the)f(dynamical)i(system.)24 b(Based)17 b(solely)h(on)e(the)h(previous)224 2097 y(state,)g(that)g(is,)h(b)q (efore)g(ha)o(ving)g(observ)o(ed)f Fa(y)1018 2104 y Fd(t)1033 2097 y Fk(,)g(the)h(b)q(est)g(estimate)f(of)h Fa(^)-27 b(x)1510 2104 y Fd(t)p Fb(+1)1587 2097 y Fk(is)224 2158 y(clearly)20 b(giv)o(en)f(b)o(y)f Fe(A)q Fa(^)-27 b(x)623 2165 y Fd(t)650 2158 y Fk(+)13 b Fe(B)r Fa(u)763 2165 y Fd(t)778 2158 y Fk(.)30 b(Up)q(on)19 b(observing)g Fa(y)1183 2165 y Fd(t)1216 2158 y Fk(this)g(estimate)f(is)h(cor-)224 2220 y(rected)12 b(via)g(a)f(term)g(prop)q(ortional)h(to)f(the)g(error) g(in)h(the)g(predicted)h(observ)m(ation,)224 2281 y(resulting)j(in)g (the)g(follo)o(wing)g(up)q(date)f(rule:)580 2367 y Fa(^)-27 b(x)607 2374 y Fd(t)p Fb(+1)679 2367 y Fk(=)13 b Fe(A)q Fa(^)-27 b(x)789 2374 y Fd(t)814 2367 y Fk(+)10 b Fe(B)r Fa(u)924 2374 y Fd(t)950 2367 y Fk(+)g Fe(K)1034 2374 y Fd(t)1049 2367 y Fk([)p Fa(y)1090 2374 y Fd(t)1114 2367 y Fg(\000)g Fe(C)t Fa(^)-27 b(x)1223 2374 y Fd(t)1238 2367 y Fk(])p Fe(:)273 b Fk(\(10\))p eop %%Page: 9 9 9 8 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)451 b Fh(Sensorimotor)15 b(In)o(tegration)60 b Fk(9)224 286 y(The)18 b(matrix)g Fe(K)510 293 y Fd(t)542 286 y Fk(is)g(the)g Ff(Kalman)g(gain)p Fk(,)g(whic)o(h)h(w)o(eigh)o(ts)e(the)h(previous)h (state)224 348 y(estimate)c(and)h(the)f(new)g(input)i(in)f(prop)q (ortion)f(to)f(their)i(in)o(v)o(erse)g(v)m(ariances.)295 409 y(The)d(optimalit)o(y)h(of)e(Kalman)i(\014lters)f(can)h(also)f(b)q (e)h(stated)e(in)i(sev)o(eral)f(w)o(a)o(ys.)224 470 y(If)21 b(the)f(noise)h(is)g(Gaussian,)h(the)e(\014lter)h(pro)o(vides)g(the)g (maxim)o(um)f(lik)o(eliho)q(o)q(d)224 531 y(estimator)e(in)i(the)f (sense)h(previously)g(describ)q(ed.)33 b(Ho)o(w)o(ev)o(er,)19 b(if)h(the)f(noise)g(is)224 592 y(not)g(Gaussian,)g(the)g(Kalman)g (\014lter)h(still)g(pro)o(vides)f(the)g(minim)o(um)h(v)m(ariance)224 653 y Ff(line)n(ar)14 b Fk(estimator)h(for)f(the)i(state)e(\(Go)q(o)q (dwin)h(&)h(Sin)g(1984\).)295 714 y(F)l(rom)c(the)i(p)q(oin)o(t)g(of)f (view)h(of)f(neuroscience,)i(an)e(in)o(teresting)h(asp)q(ect)g(of)f (the)224 776 y(Kalman)h(\014lter)g(is)g(that)f(it)h(incorp)q(orates)g (an)f(in)o(ternal)i(mo)q(del)f(of)f(the)h(dynamics)224 837 y(of)e(the)g(system)g(b)q(eing)h(mo)q(deled.)20 b(Based)12 b(on)h(computational)f(principles)j(alone,)224 898 y(it)20 b(has)f(b)q(een)h(prop)q(osed)f(that)g(the)g(CNS)g(uses)h(an)f(in)o (ternal)h(mo)q(del)g(in)g(motor)224 959 y(planning,)15 b(con)o(trol)e(and)h(learning)h(\(Ito)e(1984,)e(Ka)o(w)o(ato)h(et)i (al.)f(1987,)f(Jordan)i(&)224 1020 y(Rumelhart)g(1992,)d(Miall)j(et)e (al.)h(1993\).)18 b(Using)13 b(a)f(Kalman)i(\014lter)f(to)f(mo)q(del)i (the)224 1081 y(propagation)h(of)h(state)f(estimation)h(errors)f (during)h(mo)o(v)o(emen)o(t,)f(it)h(is)g(p)q(ossible)224 1142 y(to)k(test)g(empirical)j(h)o(yp)q(otheses)e(concerning)h(the)f (existence)h(and)f(use)g(of)f(an)224 1204 y(in)o(ternal)c(mo)q(del)g(b) o(y)f(the)h(CNS.)f(This)g(is)h(the)f(topic)h(of)f(section)h(4.)224 1330 y Fr(2.3)56 b(F)-5 b(rom)18 b(In)n(tegration)g(to)g(Adaptation)224 1421 y Fk(When)13 b(the)g(sensory)f(inputs)i(to)e(an)g(in)o(tegration)h (pro)q(cess)f(are)h(in)g(disagreemen)o(t,)224 1482 y(it)e(is)g(p)q (ossible)h(that)e(one)h(of)f(them)h(is)g(miscalibrated.)19 b(The)11 b(optimal)g(strategy)e(for)224 1543 y(the)j(nerv)o(ous)g (system)f(in)i(this)f(case)g(ma)o(y)f(in)o(v)o(olv)o(e)i(adapting)f (the)g(in)o(terpretation)224 1604 y(of)17 b(one)g(of)g(the)h(sources,)f (c)o(hanging)h(the)f(relativ)o(e)h(w)o(eigh)o(ts)f(of)g(the)g(sources,) g(or)224 1665 y(b)q(oth.)31 b(View)o(ed)20 b(in)g(this)f(w)o(a)o(y)l(,) g(the)g(con)o(v)o(ergence)g(of)f(signals)i(at)e(the)h(lo)q(cus)h(of)224 1726 y(in)o(tegration)14 b(pro)o(vides)h(a)e(to)q(ol)h(for)g (recalibrating)h(eac)o(h)f(of)f(the)h(sensory)g(inputs.)224 1787 y(Th)o(us,)d(it)h(w)o(ould)f(seem)g(that)f(the)h(mec)o(hanisms)g (underlying)i(in)o(tegration)e(should)224 1849 y(b)q(e)16 b(closely)g(related)g(to)f(those)g(underlying)i(in)o(tersensory)e (adaptation.)295 1910 y(The)g(goal)f(of)h(this)g(section)g(is)g(to)g (mak)o(e)f(explicit)j(the)e(connection)h(b)q(et)o(w)o(een)224 1971 y(in)o(tegration)g(and)g(adaptation)f(b)o(y)g(describing)j(a)d (metho)q(d)h(for)f(deriving)i(learn-)224 2032 y(ing)i(rules)g(whic)o(h) f(are)g(consisten)o(t)g(with)h(a)e(particular)i(in)o(tegration)f(rule.) 29 b(F)l(or)224 2093 y(example,)12 b(in)g(minim)o(um)f(v)m(ariance)h (in)o(tegration)f(the)f(learning)i(rule)g(adapts)e(eac)o(h)224 2154 y(mo)q(dalit)o(y)16 b(in)g(prop)q(ortion)g(to)e(the)i(w)o(eigh)o (ting)f(of)g(the)h(other)f(mo)q(dalities.)21 b(That)224 2215 y(is,)16 b(for)e(t)o(w)o(o)h(mo)q(dalities,)h(the)g(less)g (dominan)o(t)f(one)h(will)h(adapt)e(more)f(than)i(the)224 2277 y(more)f(dominan)o(t)g(one.)21 b(In)15 b(the)h(limit)g(of)f (complete)h(adaptation,)f(b)q(oth)g(mo)q(dal-)224 2338 y(ities)h(will)h(con)o(v)o(erge)e(to)g(the)g(minim)o(um)h(v)m(ariance)g (estimate.)p eop %%Page: 10 10 10 9 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(10)295 286 y(Consider)21 b(t)o(w)o(o)e(signals,)j Fe(x)773 293 y Fb(1)813 286 y Fk(and)e Fe(x)932 293 y Fb(2)973 286 y Fk(with)g(v)m(ariances)i Fe(\033)1311 270 y Fb(2)1309 298 y(1)1350 286 y Fk(and)f Fe(\033)1472 270 y Fb(2)1470 298 y(2)1491 286 y Fk(.)36 b(The)224 348 y(minim)o(um)16 b(v)m(ariance)h(estimator)d(is)i(giv)o(en)f(b)o(y)749 447 y(^)-26 b Fe(x)12 b Fk(=)h Fe(w)865 454 y Fb(1)885 447 y Fe(x)911 454 y Fb(1)940 447 y Fk(+)e Fe(w)1019 454 y Fb(2)1038 447 y Fe(x)1064 454 y Fb(2)1084 447 y Fe(;)224 546 y Fk(where)784 619 y Fe(w)817 626 y Fb(1)849 619 y Fk(=)954 588 y Fe(\033)982 572 y Fb(2)980 600 y(2)p 902 608 151 2 v 902 650 a Fe(\033)930 635 y Fb(2)928 663 y(1)960 650 y Fk(+)f Fe(\033)1033 635 y Fb(2)1031 663 y(2)224 722 y Fk(and)j Fe(w)343 729 y Fb(2)375 722 y Fk(=)g(1)6 b Fg(\000)g Fe(w)526 729 y Fb(1)545 722 y Fk(.)19 b(If)13 b(the)g(t)o(w)o(o)f(signals)i(disagree,)f(for)f (example)i(b)o(y)f(a)g(constan)o(t)224 783 y(o\013set)e(or)f(bias,)j (ho)o(w)e(m)o(uc)o(h)g(should)i(eac)o(h)e(mo)q(dalit)o(y)h(adapt)f(to)g (incorp)q(orate)g(this)224 844 y(bias?)23 b(P)o(erhaps)15 b(the)h(simplest)h(sup)q(ervised)g(learning)g(rule,)f(kno)o(wn)g(in)g (v)m(arious)224 905 y(literatures)j(as)f(the)h(delta)g(rule,)h(the)f (Widro)o(w-Ho\013)f(rule,)i(or)e(the)g(LMS)h(rule,)224 966 y(and)11 b(deriv)m(able)i(as)e(a)f(maxim)o(um)h(lik)o(eliho)q(o)q (d)i(estimate)e(under)h(a)e(Gaussian)h(noise)224 1028 y(assumption,)i(states)f(that)g(if)h(a)g(true)f(target)g(v)m(alue)i(is) f(kno)o(wn,)g(then)g(eac)o(h)g(input)224 1089 y(should)h(b)q(e)g (adapted)f(in)i(the)e(direction)h(of)f(this)h(target)e(\(Widro)o(w)g(&) i(Ho\013)e(1960,)224 1150 y(Rumelhart)i(&)f(McClelland)i(1986,)d(Hertz) h(et)f(al.)h(1991\).)18 b(Denoting)13 b(the)g(target)224 1211 y(v)m(alue)k(b)o(y)f Fe(x)432 1194 y Fp(\003)452 1211 y Fk(,)f(and)h(letting)g Fe(\021)h Fk(b)q(e)g(a)e(small)i(constan) o(t)d(of)i(prop)q(ortionalit)o(y|the)224 1272 y Ff(le)n(arning)f(r)n (ate)p Fk(|then)h(the)f(delta)h(rule)g(can)f(b)q(e)h(written)739 1371 y(\001)p Fe(x)803 1378 y Fb(1)836 1371 y Fk(=)d Fe(\021)r Fk(\()p Fe(x)953 1353 y Fp(\003)981 1371 y Fg(\000)e Fe(x)1053 1378 y Fb(1)1072 1371 y Fk(\))p Fe(;)224 1471 y Fk(where)16 b(\001)p Fe(x)f Fk(de\014nes)h(the)f(c)o(hange)g (applied)i(to)e Fe(x)p Fk(.)295 1532 y(By)h(assumption,)h(the)g(m)o (ultisensory)g(observ)o(er)f(do)q(es)h(not)f(ha)o(v)o(e)g(access)g(to) 224 1593 y(an)c(explicit)i(teac)o(hing)e(signal)h(or)e(true)h (target|access)f(to)g(suc)o(h)h(a)g(target)e(w)o(ould)224 1654 y(mak)o(e)21 b(p)q(erception)h(trivial.)39 b(Ho)o(w)o(ev)o(er,)21 b(b)o(y)g(replacing)h(the)f(target)f(with)i(the)224 1715 y(minim)o(um)g(v)m(ariance)g(estimate)e(of)h Fe(x)f Fk(w)o(e)h(obtain)g (the)g(follo)o(wing)g(in)o(teresting)224 1776 y(form)15 b(of)f(the)i(delta)f(rule:)614 1876 y(\001)p Fe(x)678 1883 y Fb(1)739 1876 y Fk(=)42 b Fe(\021)r Fk(\()s(^)-26 b Fe(x)9 b Fg(\000)h Fe(x)965 1883 y Fb(1)985 1876 y Fk(\))739 1949 y(=)42 b Fe(\021)r Fk(\()p Fe(w)892 1956 y Fb(1)910 1949 y Fe(x)936 1956 y Fb(1)966 1949 y Fk(+)10 b Fe(w)1044 1956 y Fb(2)1063 1949 y Fe(x)1089 1956 y Fb(2)1119 1949 y Fg(\000)h Fe(x)1191 1956 y Fb(1)1210 1949 y Fk(\))739 2023 y(=)42 b Fe(\021)r(w)874 2030 y Fb(2)892 2023 y Fk(\()p Fe(x)936 2030 y Fb(2)966 2023 y Fg(\000)10 b Fe(x)1037 2030 y Fb(1)1057 2023 y Fk(\))p Fe(:)449 b Fk(\(11\))224 2122 y(W)l(e)22 b(will)h(call)g(the)f (learning)h(rule)g(giv)o(en)f(b)o(y)g(\(11\))e(the)i Ff(weighte)n(d)g(delta)h(rule)224 2183 y Fk(\(WDR\).)16 b(It)g(states)g(that)g(eac)o(h)g(mo)q(dalit)o(y)h(should)h(adapt)e(in)i (the)e(direction)i(of)224 2244 y(the)e(other)f(b)o(y)h(an)g(amoun)o(t)f (prop)q(ortional)h(to)f(the)h(w)o(eigh)o(ting)g(assigned)h(to)e(the)224 2306 y Ff(other)f Fk(mo)q(dalit)o(y)l(.)20 b(F)l(or)12 b(example,)j(if)e(the)h(t)o(w)o(o)d(mo)q(dalities)k(are)e(vision)h(and) g(audi-)224 2367 y(tion,)f(then)g(the)g(WDR)f(predicts)h(that)f(the)h (auditory)f(map)h(should)g(adapt)f(more)p eop %%Page: 11 11 11 10 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(11)224 286 y(where)16 b(the)g(visual)h(input)f(is)h(more)e(dominan)o(t,)g (where)h(the)g(visual)h(dominance)224 348 y(ma)o(y)e(b)q(e)h(a)e (function)i(of)f(spatial)h(lo)q(cation)g(or)f(exp)q(erimen)o(tal)h (conditions.)295 409 y(An)11 b(alternativ)o(e)g(form)g(of)f(the)i(w)o (eigh)o(ted)f(delta)g(rule)h(can)g(b)q(e)f(deriv)o(ed)i(simply)224 470 y(b)o(y)j(stating)g(that)f(eac)o(h)i(mo)q(dalit)o(y)f(adapts)g(in)h (prop)q(ortion)f(to)f(ho)o(w)h(v)m(ariable)i(it)224 531 y(is.)j(This)15 b(rule,)722 592 y(\001)p Fe(x)786 599 y Fb(1)818 592 y Fk(=)e Fe(\021)r(\033)919 573 y Fb(2)917 603 y(1)938 592 y Fk(\()p Fe(x)982 599 y Fb(2)1011 592 y Fg(\000)e Fe(x)1083 599 y Fb(1)1102 592 y Fk(\))417 b(\(12\))224 679 y(whic)o(h)20 b(w)o(e)g(will)h(call)f(the)g Ff(varianc)n(e-weighte)n(d)g(delta)g(rule)f Fk(\(VWDR\),)g(can)g(b)q(e) 224 740 y(deriv)o(ed)f(from)e(the)h(maxim)o(um)g(lik)o(eliho)q(o)q(d)j (framew)o(ork)15 b(if)j(eac)o(h)f(mo)q(dalit)o(y)g(as-)224 801 y(sumes)f(that)e(the)h(other)g(is)h(its)f(target.)295 862 y(It)j(is)h(easy)g(to)e(sho)o(w)h(that)g(b)q(oth)h(the)f(WDR)h(and) f(VWDR)h(main)o(tain)g(the)224 923 y(minim)o(um)c(v)m(ariance)f (estimate)g(in)o(v)m(arian)o(t)g(o)o(v)o(er)e(time,)i(and)g(con)o(v)o (erge)f(with)h(the)224 984 y(mean)h(estimate)g(giv)o(en)g(b)o(y)f(eac)o (h)h(mo)q(dalit)o(y)h(equal)f(to)f(the)h(minim)o(um)h(v)m(ariance)224 1045 y(estimator)f(\(Ghahramani)g(1995\).)20 b(In)c(the)g(case)g(of)f (t)o(w)o(o)g(mo)q(dalities,)h(the)g(only)224 1107 y(di\013erence)f(b)q (et)o(w)o(een)e(the)g(WDR)h(and)f(the)g(VWDR)g(is)h(that)f(the)g (normalization)224 1168 y(constan)o(t)d(in)h(the)g(w)o(eigh)o(ts)f(in)h (the)g(WDR)f(has)h(b)q(een)h(absorb)q(ed)e(in)o(to)h(the)g(learning)224 1229 y(rate)19 b(of)f(the)h(VWDR.)g(Ho)o(w)o(ev)o(er,)g(as)g(will)h(b)q (e)g(sho)o(wn)f(later)g(in)h(this)f(c)o(hapter,)224 1290 y(this)g(di\013erence)g(can)f(cause)g(mark)o(edly)g(di\013ering)h (predictions)h(regarding)e(the)224 1351 y(pattern)d(of)g(adaptation.) 224 1477 y Fr(2.4)56 b(Other)18 b(Mo)r(dels)g(of)h(In)n(tegration)f (and)h(Adaptation)224 1568 y Fa(2.4.1)52 b(Comp)q(etitiv)o(e)21 b(in)o(tegration.)46 b Fk(The)18 b(principles)j(presen)o(ted)d(so)f (far)224 1629 y(could)g(b)q(e)f(termed)g Ff(c)n(o)n(op)n(er)n(ative)p Fk(,)e(in)j(the)e(sense)h(that)f(an)h(estimate)f(is)h(obtained)224 1690 y(b)o(y)i(com)o(bining)g(the)g(con)o(tributions)g(of)g(all)g(the)g (sensory)f(inputs.)28 b(In)18 b(con)o(trast)224 1751 y Ff(c)n(omp)n(etitive)p Fk(,)i(or)g Ff(winner-take-al)r(l)p Fk(,)g(principles)j(capture)d(the)g(notion)g(that)f(in)224 1812 y(the)c(presence)h(of)f(disagreemen)o(t,)f(one)h(of)g(the)g (senses)g(ma)o(y)f(dominate)i(and)f(the)224 1873 y(others)f(b)q(e)i (ignored.)k(Th)o(us,)14 b(for)h(example,)g(the)g(comp)q(etitiv)o(e)g (in)o(tegration)g(rule)224 1934 y(based)h(on)f(smallest)h(v)m(ariance)g (can)f(b)q(e)h(stated)f(as)632 2038 y(^)-25 b Fe(x)12 b Fk(=)h Fe(x)742 2045 y Fd(i)816 2038 y Fk(i\013)73 b Fe(\033)956 2019 y Fb(2)954 2049 y Fd(i)988 2038 y Fg(\024)13 b Fe(\033)1064 2019 y Fb(2)1062 2049 y Fd(j)1156 2038 y Fg(8)p Fe(j:)324 b Fk(\(13\))224 2141 y(As)15 b(b)q(efore,)g(paralleling)j(this)d(in)o(tegration)g(rule)h(is)g(a)f (comp)q(etitiv)o(e)h(adaptation)224 2202 y(rule.)k(Letting)13 b Fe(i)f Fk(index)h(the)g(dominan)o(t)f(input)i(\(e.g.)d(the)h(input)i (with)e(the)h(small-)224 2263 y(est)i(v)m(ariance\))h(the)f(learning)i (rule)f(can)f(b)q(e)h(written)744 2367 y(\001)p Fe(x)808 2374 y Fd(j)838 2367 y Fk(=)d Fe(\021)r Fk(\()p Fe(x)955 2374 y Fd(i)978 2367 y Fg(\000)e Fe(x)1050 2374 y Fd(j)1068 2367 y Fk(\))p Fe(;)438 b Fk(\(14\))p eop %%Page: 12 12 12 11 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(12)224 286 y(whic)o(h)15 b(is)g(exactly)f(the)g(delta)h(rule;)g(the)f(dominan) o(t)g(mo)q(dalit)o(y)h(acts)f(as)f(a)h(target)224 348 y(for)i(the)g(non-dominan)o(t)g(ones.)23 b(In)17 b(the)f(case)g(of)g (vision)h(and)f(audition,)h(for)f(ex-)224 409 y(ample,)h(if)f(w)o(e)g (assume)g(that)f(vision)i(is)g(dominan)o(t,)f(the)g(in)o(tegration)g (rule)h(\(13\))224 470 y(predicts)f(that)e(in)h(the)g(presence)h(of)e (a)h(visuo-auditory)g(discrepancy)h(complete)224 531 y(visual)21 b(capture)f(will)i(o)q(ccur)e(\(e.g.)f(the)h(\\v)o(en)o (trilo)q(quism")h(e\013ect;)h(Ho)o(w)o(ard)d(&)224 592 y(T)l(empleton)h(1966\).)60 b(F)l(urthermore,)18 b(\(14\))f(predicts)j (that)e(a)h(p)q(ersisten)o(t)g(dis-)224 653 y(crepancy)d(will)h(induce) g(auditory)e(adaptation,)f(but)i(no)f(visual)h(adaptation.)224 778 y Fa(2.4.2)52 b(Sto)q(c)o(hastic)17 b(in)o(tegration.)46 b Fk(A)14 b(di\013eren)o(t)f(form)g(of)g(comp)q(etitiv)o(e)h(in-)224 839 y(tegration)j(o)q(ccurs)h(if)f(the)h(CNS)f(selects)h(b)q(et)o(w)o (een)g(discrepan)o(t)g(signals)g(proba-)224 900 y(bilisticall)q(y)l(.)k (F)l(or)12 b(example,)h(sim)o(ultaneous)h(visual)f(and)g(auditory)g (stim)o(uli)h(ma)o(y)224 961 y(cause)g(a)f(saccade)g(to)f(either)i(of)f (the)g(t)o(w)o(o)f(stim)o(uli)j(rather)d(than)i(to)e(a)h(lo)q(cation)h (in)224 1023 y(b)q(et)o(w)o(een.)27 b(This)19 b(form)d(of)i(in)o (tegration,)f(whic)o(h)i(w)o(e)e(will)i(call)g Ff(sto)n(chastic)f (inte-)224 1084 y(gr)n(ation)p Fk(,)13 b(can)g(also)g(b)q(e)h(based)f (on)g(a)g(measure)g(of)f(v)m(ariance)i(or)f(reliabilit)o(y)l(.)21 b(If)14 b(the)224 1145 y(probabilit)o(y)g(of)f(c)o(ho)q(osing)g(signal) g Fe(i)g Fk(is)g(in)o(v)o(ersely)h(prop)q(ortional)f(to)f(its)h(v)m (ariance,)224 1206 y Fe(p)247 1213 y Fd(i)274 1206 y Fg(/)g Fe(\033)350 1187 y Fp(\000)p Fb(2)348 1219 y Fd(i)396 1206 y Fk(,)i(w)o(e)g(obtain)648 1382 y(^)-26 b Fe(x)12 b Fk(=)731 1271 y Fc(8)731 1308 y(>)731 1321 y(>)731 1333 y(<)731 1408 y(>)731 1420 y(>)731 1433 y(:)789 1312 y Fe(x)815 1319 y Fb(1)880 1312 y Fk(with)k(prob.)24 b Fe(p)1135 1319 y Fb(1)789 1360 y Fk(.)789 1376 y(.)789 1393 y(.)789 1454 y Fe(x)815 1461 y Fd(n)880 1454 y Fk(with)16 b(prob.)24 b Fe(p)1135 1461 y Fd(n)1159 1454 y Fe(:)1537 1382 y Fk(\(15\))224 1554 y(Note)15 b(that)f(the)i(probabilities,)h (when)e(normalized,)h(are)f(exactly)g(equal)h(to)f(the)224 1615 y(w)o(eigh)o(ts)e Fe(w)417 1622 y Fb(1)436 1615 y Fe(;)8 b(:)g(:)g(:)d(;)j(w)571 1622 y Fd(n)606 1615 y Fk(in)14 b(the)f(MVE,)f(making)h(this)h(a)e(sto)q(c)o(hastic)h(v)o (ersion)g(of)g(the)224 1676 y(minim)o(um)j(v)m(ariance)f(estimator.)k (The)14 b(mean)g(of)g(this)h(estimator)e(is)i(the)g(MVE,)224 1737 y(ho)o(w)o(ev)o(er,)g(its)i(v)m(ariance)g(is)g(guaran)o(teed)f(to) f(b)q(e)i(at)f(least)g Fe(n)g Fk(times)h(higher)g(than)224 1798 y(the)i(v)m(ariance)h(of)f(the)g(MVE.)f(A)h(testable)g(prediction) h(made)f(b)o(y)g(this)h(rule)f(is)224 1859 y(that)12 b(the)i(distribution)g(of)f(the)g(estimates)g(\(i.e.)g(resp)q(onses\))g (when)g(t)o(w)o(o)f(sensory)224 1921 y(mo)q(dalities)17 b(are)d(stim)o(ulated)i(will)g(b)q(e)g(bimo)q(dal,)g(with)f(the)g(mo)q (des)g(predictable)224 1982 y(from)h(the)g(resp)q(onses)h(to)f (unisensory)h(stim)o(uli.)24 b(The)17 b(adaptation)f(rule)h(consis-)224 2043 y(ten)o(t)d(with)g(this)h(in)o(tegration)f(rule)h(uses)g(the)f (randomly)g(selected)i(signal)f(as)f(the)224 2104 y(target)g(for)g(the) h(other)g(signals.)20 b(This)c(has)e(the)h(in)o(teresting)h(e\013ect)f (that)f(all)i(the)224 2165 y(mo)q(dalities)h(will)g(also)e(con)o(v)o (erge)g(on)g(the)g(MVE.)p eop %%Page: 13 13 13 12 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(13)224 286 y Fl(3)67 b(In)n(tegration)37 b(and)f(Adaptation)h(of)e(Visual)h (and)325 367 y(Auditory)24 b(Maps)224 473 y Fk(The)14 b(mo)q(dels)g(prop)q(osed)f(in)h(the)f(previous)h(section)g(mak)o(e)f (precise)h(quan)o(titativ)o(e)224 535 y(predictions)22 b(b)q(oth)f(regarding)f(ho)o(w)g(signals)h(from)f(sev)o(eral)g(sensory) h(mo)q(dali-)224 596 y(ties)e(will)h(b)q(e)f(com)o(bined)g(in)h(order)e (to)f(pro)q(duce)j(a)e(motor)f(resp)q(onse,)i(and)g(the)224 657 y(patterns)f(of)h(sensorimotor)f(adaptation)g(that)g(will)i(arise)f (from)f(an)h(in)o(tersen-)224 718 y(sory)11 b(discrepancy)l(.)20 b(Using)12 b(a)f(psyc)o(hoph)o(ysical)i(paradigm)e(in)h(h)o(umans,)g(w) o(e)f(ha)o(v)o(e)224 779 y(tested)h(some)f(of)h(these)g(predictions)h (for)e(the)h(system)f(in)o(v)o(olv)o(ed)i(in)g(lo)q(calizing)h(vi-)224 840 y(sual)f(and)g(auditory)g(targets)e(\(Ghahramani)h(1995,)f (Ghahramani)i(et)f(al.)h(1995\).)295 901 y(The)f(basic)h(exp)q(erimen)o (tal)g(pro)q(cedure)g(consisted)f(of)g(measuring)g(the)g(biases)224 963 y(\(constan)o(t)k(errors\))h(and)g(v)m(ariances)h(in)h(lo)q (calization)g(of)e(visual)h(\(V\),)f(auditory)224 1024 y(\(A\),)i(and)h(visuo-auditory)g(\(V)-5 b(A\))19 b(stim)o(uli.)35 b(Sub)s(jects)20 b(w)o(ere)f(presen)o(ted)h(with)224 1085 y(one)c(of)f(the)h(three)g(t)o(yp)q(es)f(of)g(stim)o(uli,)i (randomly)f(in)o(terlea)o(v)o(ed,)g(and)g(their)g(goal)224 1146 y(w)o(as)k(to)h(p)q(oin)o(t)h(to)e(the)h(lo)q(cation)h(of)f(the)g (stim)o(ulus)h(as)f(accurately)g(as)g(p)q(ossi-)224 1207 y(ble)e(\(Figure)e(1\).)26 b(Eac)o(h)17 b(of)g(the)h(mo)q(dels)g(in)g (the)g(previous)g(section)g(predicts)g(a)224 1268 y(di\013eren)o(t)f (pattern)f(of)g(lo)q(calization)i(v)m(ariances)g(for)d(the)i(V)-5 b(A)16 b(stim)o(uli)i(based)f(on)224 1329 y(the)e(sub)s(ject's)g(resp)q (onses)h(to)e(the)i(V)f(and)g(A)g(stim)o(uli)i(separately)l(.)295 1391 y(The)d(\014rst)g(observ)m(ation)g(to)f(note)h(is)g(that)g(visual) h(lo)q(calization)h(is)e(m)o(uc)o(h)g(less)224 1452 y(v)m(ariable)21 b(than)e(auditory)g(lo)q(calization)i(\(Figure)e(2a\).)31 b(F)l(or)18 b(b)q(oth)h(vision)i(and)224 1513 y(audition,)15 b(lo)q(calization)g(is)f(b)q(est)f(straigh)o(t-ahead)g(and)h(increases) g(in)g(v)m(ariabilit)o(y)224 1574 y(to)o(w)o(ards)j(the)i(p)q (eriphery|a)h(\014nding)g(that)e(is)h(consisten)o(t)g(with)g(the)g (existing)224 1635 y(literature)c(\(Mills)g(1958,)d(Middlebro)q(oks)j (&)f(Green)g(1991\).)k(The)d(relativ)o(e)f(v)m(ari-)224 1696 y(ances)k(of)g(visual)h(and)f(auditory)g(lo)q(calization)i (suggest)d(that)g(vision)i(pro)o(vides)224 1757 y(m)o(uc)o(h)f(more)f (reliable)j(spatial)e(information)g(than)g(audition)h(throughout)e(the) 224 1819 y(azim)o(uth.)31 b(Indeed,)21 b(when)e(sim)o(ultaneous)h (visual)f(and)g(auditory)g(stim)o(uli)h(are)224 1880 y(presen)o(ted)15 b(the)f(v)m(ariance)g(in)h(lo)q(calization)h(is)e (not)g(signi\014can)o(tly)h(di\013eren)o(t)g(from)224 1941 y(the)j(v)m(ariance)h(for)e(visual)i(stim)o(uli)g(alone)g (\(Figure)e(2a)h(triangles\).)28 b(This)18 b(\014nd-)224 2002 y(ing)c(is)f(statistically)h(consisten)o(t)f(with)g(the)g (predictions)h(of)f(b)q(oth)g(the)g(minim)o(um)224 2063 y(v)m(ariance)19 b(in)o(tegration)e(rule)i(\(whic)o(h)f(w)o(ould)g(giv) o(e)g(vision)h(a)e(w)o(eigh)o(ting)h(of)f(0.9;)224 2124 y(Figure)c(2b\),)g(and)g(the)g(comp)q(etitiv)o(e)h(in)o(tegration)f (rule)h(\(whic)o(h)g(w)o(ould)f(use)g(only)224 2185 y(vision\).)20 b(This)13 b(data)g(is,)g(ho)o(w)o(ev)o(er,)f(inconsisten)o(t)i(with)f (the)g(sto)q(c)o(hastic)g(in)o(tegra-)224 2247 y(tion)i(rule,)g(whic)o (h)g(predicts)h(that)d(V)-5 b(A)15 b(v)m(ariance)g(will)i(b)q(e)e(more) f(than)g(t)o(wice)h(the)224 2308 y(visual)h(v)m(ariance.)p eop %%Page: 14 14 14 13 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(14)231 633 y(a\))211 669 y 11188078 9845496 0 16445440 40258437 52099153 startTexFig 211 669 a %%BeginDocument: multisetup.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 gsave 2.83465 -2.83465 scale 0 -279.4 translate topmat currentmatrix pop % Curves n 14.799 138.9 m 200.33 138.9 l 200.33 10.355 l 14.799 10.355 l 14.799 138.9 l cl 1 Fbw gsave 0 0.706 0 Bbw grestore % Curves n 81.075 151.84 m 81.145 150.95 81.361 150.44 81.575 150.34 c 81.791 150.23 82.004 150.52 82.147 150.95 c 82.29 151.38 82.363 151.95 82.396 152.59 c 82.433 153.24 82.433 153.95 82.539 154.7 c 82.649 155.46 82.863 156.25 82.683 156.5 c 82.506 156.75 81.934 156.46 81.681 156.32 c 81.432 156.17 81.504 156.17 81.504 156.17 c 81.504 156.17 81.432 156.17 81.361 155.89 c 81.288 155.6 81.218 155.03 81.181 154.89 c 81.145 154.74 81.145 155.03 81.108 154.52 c 81.075 154.03 81.002 152.74 81.075 151.84 c 1 Fbw % Curves n 81.075 151.84 m 81.145 150.95 81.361 150.44 81.575 150.34 c 81.791 150.23 82.004 150.52 82.147 150.95 c 82.29 151.38 82.363 151.95 82.396 152.59 c 82.433 153.24 82.433 153.95 82.539 154.7 c 82.649 155.46 82.863 156.25 82.683 156.5 c 82.506 156.75 81.934 156.46 81.681 156.32 c 81.432 156.17 81.504 156.17 81.504 156.17 c 81.504 156.17 81.432 156.17 81.361 155.89 c 81.288 155.6 81.218 155.03 81.181 154.89 c 81.145 154.74 81.145 155.03 81.108 154.52 c 81.075 154.03 81.002 152.74 81.075 151.84 c gsave 0 0.706 0 Bbw grestore % Curves n 80.469 131.22 m 79.632 130.39 79.842 128.71 80.889 126.93 c 81.936 125.15 83.821 123.27 85.285 123.37 c 86.753 123.48 87.801 125.57 88.534 127.14 c 89.265 128.71 89.685 129.76 89.162 130.49 c 88.638 131.22 87.17 131.65 86.333 131.85 c 85.496 132.06 85.285 132.06 84.239 132.06 c 83.191 132.06 81.306 132.06 80.469 131.22 c 1 Fbw % Curves n 107.61 136.66 m 70.684 64.513 l gsave [1 1 1 1] 0 setdash 0 0.176 0 Bbw grestore % Curves n 109.61 135.91 m 72.679 63.765 l gsave [1 1 1 1] 0 setdash 0 0.176 0 Bbw grestore % Curves n 67.254 63.929 m 73.629 60.396 l 75.557 63.873 l 69.182 67.407 l 67.254 63.929 l cl 1 Fbw gsave [1 1 1 1] 0 setdash 0 0.176 0 Bbw grestore % Curves n 27.565 139.02 m 27.997 120.64 32.667 106.45 38.112 96.272 c 43.19 86.781 54.626 74.551 65.007 68.221 c 75.388 61.891 87.794 55.983 101.47 55.561 c 115.14 55.139 135.56 60.288 147.04 65.689 c 158.52 71.091 164.26 79.868 170.34 87.97 c 176.41 96.073 180.8 105.78 183.5 114.3 c 186.2 122.83 186.54 139.12 186.54 139.12 c gsave [1 1 1 1] 0 setdash 0 0.706 0 Bbw grestore % Curves n 113.89 133.27 m 113.9 134.93 113.22 136.58 112.04 137.74 c 110.87 138.92 109.22 139.6 107.56 139.6 c 105.9 139.6 104.26 138.92 103.09 137.74 c 101.91 136.58 101.23 134.93 101.23 133.27 c 101.23 131.61 101.91 129.96 103.09 128.79 c 104.26 127.61 105.9 126.93 107.56 126.94 c 109.22 126.93 110.87 127.61 112.04 128.79 c 113.22 129.96 113.9 131.61 113.89 133.27 c cl 1 Fbw gsave [1 1 1 1] 0 setdash 0 0.176 0 Bbw grestore % Curves n 157.37 71.869 m 155.04 70.266 157.67 72.3 154.99 70.078 c 152.32 67.857 151.54 64.445 148.5 61.767 c 146.32 59.846 143.41 55.392 139.47 56.106 c 137.15 56.526 140.93 58.315 140.93 58.315 c 140.93 58.315 137.8 57.279 137.59 57.8 c 136.57 60.413 140.08 61.148 140.08 61.148 c 140.08 61.148 135.86 58.833 135.36 59.742 c 134.24 61.727 136.57 62.547 135.95 63.13 c 135.33 63.713 125.81 56.826 124.73 58.653 c 123.6 60.589 134.71 67.892 134.71 67.892 c 134.71 67.892 133.72 66.258 132.58 68.674 c 132.12 69.654 132.13 69.991 135.72 72.482 c 139.3 74.976 143.63 76.658 146.1 76.08 c 148.57 75.502 149.24 77.047 151.47 78.487 c 152.94 80.662 161.88 94.507 162.77 95.456 c 164.24 96.959 165.59 98.39 166.89 99.465 c 168.17 100.54 169.39 101.25 170.57 102.18 c 171.75 103.11 172.9 104.26 174.04 105.41 c 175.19 106.55 176.33 107.7 177.48 108.91 c 178.62 110.13 179.77 111.42 180.77 112.56 c 181.77 113.71 182.63 114.71 184.28 115.5 c 185.92 116.29 188.36 116.86 187.57 118.58 c 186.78 120.29 182.78 123.16 179.98 125.09 c 177.19 127.02 175.62 128.02 173.9 128.95 c 172.18 129.89 170.32 130.75 168.39 132.1 c 166.46 133.46 164.45 135.33 163.16 136.47 c 161.88 137.62 161.3 138.05 160.23 139.19 c 159.16 140.34 157.58 142.2 156.51 143.41 c 155.43 144.63 154.86 145.2 154.15 146.13 c 153.43 147.06 152.57 148.35 152 149.14 c 151.42 149.93 151.14 150.21 150.92 150.28 c 150.71 150.36 150.57 150.21 150.21 150.21 c 149.85 150.21 149.28 150.36 148.13 150.21 c 146.99 150.07 145.27 149.64 143.55 149.21 c 141.83 148.78 140.12 148.35 137.9 148.07 c 135.68 147.78 132.96 147.64 131.31 147.64 c 129.66 147.64 129.09 147.78 128.02 148 c 126.94 148.21 125.37 148.5 123.8 148.28 c 122.22 148.07 120.65 147.35 119.93 147.21 c 119.21 147.06 119.36 147.49 118.85 147.71 c 118.35 147.92 117.21 147.92 116.07 147.92 c 114.92 147.92 113.77 147.92 112.7 147.92 c 111.63 147.92 110.62 147.92 109.77 147.78 c 108.91 147.64 108.19 147.35 107.26 147.42 c 106.33 147.49 105.18 147.92 103.47 148 c 101.75 148.07 99.458 147.78 97.312 147.85 c 95.165 147.92 93.159 148.35 89.652 148.5 c 86.147 148.64 81.136 148.5 77.555 148.64 c 73.978 148.78 71.832 149.21 69.395 149.64 c 66.963 150.07 64.244 150.5 60.736 150.93 c 57.229 151.36 52.933 151.79 51 153.43 c 49.067 155.08 49.496 157.94 50.071 160.09 c 50.644 162.24 51.359 163.67 51.932 165.75 c 52.504 167.82 52.933 170.54 56.155 172.83 c 59.376 175.12 65.389 176.98 71.185 177.84 c 76.982 178.7 82.567 178.56 86.217 178.34 c 89.868 178.13 91.585 177.84 94.52 177.7 c 97.455 177.56 101.61 177.56 105.04 177.49 c 108.48 177.41 111.2 177.27 113.63 177.27 c 116.07 177.27 118.21 177.41 120.93 177.2 c 123.65 176.98 126.94 176.41 130.24 176.05 c 133.53 175.69 136.82 175.55 140.55 174.98 c 144.26 174.41 148.42 173.41 152.28 172.26 c 156.15 171.11 159.73 169.83 162.23 168.82 c 164.74 167.82 166.17 167.11 167.17 166.17 c 168.17 165.24 168.75 164.1 169.96 162.52 c 171.18 160.95 173.04 158.95 175.12 157.16 c 177.19 155.37 179.48 153.79 182.35 151.65 c 185.21 149.5 188.65 146.78 191.36 144.42 c 194.08 142.05 196.09 140.05 198.02 137.47 c 199.95 134.9 201.81 131.75 203.17 129.53 c 204.54 127.31 205.39 126.02 205.75 124.73 c 206.11 123.44 208.29 118.18 208.29 116.75 c 208.29 115.32 197.52 102.58 192.51 96.816 c 188.5 92.209 183.49 89.945 180.56 87.512 c 177.62 85.077 176.05 83.216 172.61 81.319 c 169.55 79.63 161.05 73.65 156.83 71.452 c 1 Fbw gsave 0 0.706 0 Bbw grestore % Curves n 103.33 138.84 m 102.49 138.01 102.7 136.33 103.75 134.55 c 104.8 132.77 106.68 130.89 108.15 130.99 c 109.61 131.1 110.66 133.19 111.39 134.76 c 112.12 136.33 112.55 137.38 112.02 138.11 c 111.5 138.84 110.03 139.26 109.19 139.48 c 108.35 139.68 108.15 139.68 107.1 139.68 c 106.05 139.68 104.17 139.68 103.33 138.84 c 1 Fbw gsave 0 0.706 0 Bbw grestore % Curves n 129.06 162.64 m 129.06 147.46 119.52 135.16 107.76 135.16 c 96.003 135.16 86.467 147.46 86.467 162.64 c 86.467 177.81 96.003 190.11 107.76 190.11 c 119.52 190.11 129.06 177.81 129.06 162.64 c 1 Fbw gsave 0 0.706 0 Bbw grestore % Curves n 51.536 54.481 m 67.733 61.475 l 1 Fbw n 67.733 61.475 m 64.553 61.201 l 65.353 59.348 l cl 0 Fbw n 51.536 54.481 m 64.953 60.275 l gsave 0 0.176 0 Bbw grestore % Curves n 121.11 115.22 m 111.54 124.79 l 1 Fbw n 111.54 124.79 m 112.97 121.94 l 114.39 123.36 l cl 0 Fbw n 121.11 115.22 m 113.68 122.65 l gsave 0 0.176 0 Bbw grestore % Text n savemat currentmatrix pop [1 0 0 1 25.4 53.377] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica03600360) getfont () s 0.00 SG (speaker) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 123.687 114.484] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica03600360) getfont () s 0.00 SG (motor) s savemat setmatrix % Ellipse 1.967 1.967 0 80.249 60.371 el 0 Fbw gsave 1 0.176 0 Bbw grestore % Curves n 77.672 56.69 m 65.893 37.548 l 0 Fbw n 77.672 56.69 m 75.225 54.64 l 76.945 53.582 l cl 0 Fbw n 76.085 54.111 m 65.893 37.548 l gsave 0 0.176 0 Bbw grestore % Text n savemat currentmatrix pop [1 0 0 1 42.333 34.971] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica03600360) getfont () s 0.00 SG (projected image) s savemat setmatrix % Ellipse 1.365 1.365 0 126.13 59.399 el 0.5 Fbw gsave 1 0 0 Bbw grestore % Curves n 135.47 43.438 m 127 57.058 l 0.5 Fbw n 127 57.058 m 127.74 53.954 l 129.46 55.019 l cl 0 Fbw n 135.47 43.438 m 128.6 54.486 l gsave 0 0.176 0 Bbw grestore % Text n savemat currentmatrix pop [1 0 0 1 132.154 40.861] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica03600360) getfont () s 0.00 SG (IRED) s savemat setmatrix userdict /#copies 1 put showpage grestore end restore %%EndDocument endTexFig 935 633 a Fk(b\))918 592 y 11188078 11076183 510512 16062458 34181780 49709565 startTexFig 918 592 a %%BeginDocument: multiparad.eps % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000003f000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000003f000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000003f000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000003f000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000003f000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000003f000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000003f000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000003f000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000003f000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000003f000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000003f000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000003f000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000003fffffff000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000003fffffffc20000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000000031ffffffffc3fe00000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000000ff1ffffffffc3fe3fe00000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000021ff1ffffffffc7fe3ff1c000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000007e1ff1f003f00003fe3ff1ff80000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000003ff1fe00003f00000003ff1ff8c000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000063ff18000003f00000000031ff0fe00000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000007e3fe00000003f000000000007f1ff80000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000003fe3c000000003f00000000000001ff8f000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000003ff00000000003f000000000000007f8ff00000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000001e3fe00000000003f00000000000000038ffc0000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000fe3e000000000003f00000000000000000ffc6000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000007fe00000000000003f000000000000000001f8fc00000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000007fe00000000000003f00000000000000000018ffc0000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000e3f000000000000003f00000000000000000000ffc0000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000007e3c000000000000003f000000000000000000003fc7000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000003fe00000000000000000000000000000000000000078fe00000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000007fe00000000000000000000000000000000000000000ff80000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000043f800000000000000000000000000000000000000000ffc0000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000001e3c0000000000000000000000000000000000000000001fc6000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000007e200000000000000000000000000000000000000000000787800000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000003ff00000000000000000000000000000000000000000000008ff00000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000003fe00000000000000000000000000000000000000000000000ffc0000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000003f8000000000000000000000000000000000000000000000007fc0000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000e3c0000000000000000000000000000000000000000000000000fc6000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000007e10000000000000000000000000000000000000000000000000038f800 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000001ff00000000000000000000000000000000000000000000000000000fe00 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000003ff00000000000000000000000000000000000000000000000000000ff80 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000003f8000000000000000000000000000000000000000000000000000007fc0 % 00000000000000000000000000000000000010 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000023e0000000000000000000000000000000000000000000000000000001f80 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000f18000000000000000000000000000000000000000000000000000000078e % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000003f00000000000000000000000000000000000000000000000000000000010f % 80000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000ff80000000000000000000000000000000000000000000000000000000001f % e0000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000001ff00000000000000000000000000000000000000000000000000000000001f % f8000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000001fc000000000000000000000000000000000000000000000000000000000007 % f8000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000011f0000000000000000000000000000000000000000000000000000000000001 % f8000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000070c0000000000000000000000000000000000000000000000000000000000000 % 71c00000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000001f800000000000000000000000000000000000000000000000000000000000000 % 01e00000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000007f800000000000000000000000000000000000000000000000000000000000000 % 03f80000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000ff800000000000000000000000000000000000000000000000000000000000000 % 03fc0000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000001fe000000000000000000000000000000000000000000000000000000000000000 % 00ff0000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000f8000000000000000000000000000000000000000000000000000000000000000 % 007f0000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000001860000000000000000000000000000000000000000000000000000000000000000 % 001e0000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000003c00000000000000000000000000000000000000000000000000000000000000000 % 00063800000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000fc00000000000000000000000000000000000000000000000000000000000000000 % 00007c00000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000001fe00000000000000000000000000000000000000000000000000000000000000000 % 00007f00000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000007f800000000000000000000000000000000000000000000000000000000000000000 % 00007f80000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000007f000000000000000000000000000000000000000000000000000000000000000000 % 00001fe0000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000007c000000000000000000000000000000000000000000000000000000000000000000 % 00000fe0000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000438000000000000000000000000000000000000000000000000000000000000000000 % 000003c0000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000001e00000000000000000000000000000000000000000000000000000000000000000000 % 00000186000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000003f00000000000000000000000000000000000000000000000000000000000000000000 % 0000000f000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000ff00000000000000000000000000000000000000000000000000000000000000000000 % 0000001f800000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000001fe00000000000000000000000000000000000000000000000000000000000000000000 % 0000001fc00000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000003f800000000000000000000000000000000000000000000000000000000000000000000 % 00000007f00000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000003f000000000000000000000000000000000000000000000000000000000000000000000 % 00000003f80000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000001c000000000000000000000000000000000000000000000000000000000000000000000 % 00000001f80000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000308000000000000000000000000000000000000000000000000000000000000000000000 % 00000000f00000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000780000000000000000000000000000000000000000000000000000000000000000000000 % 00000000218000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000fc0000000000000000000000000000000000000000000000000000000000000000000000 % 0000000003c000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000003f80000000000000000000000000000000000000000000000000000000000000000000000 % 0000000007e000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000007f00000000000000000000000000000000000000000000000000000000000000000000000 % 0000000007f000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000fe00000000000000000000000000000000000000000000000000000000000000000000000 % 0000000003f800000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000007c00000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000fe00000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000007000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000007e00000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000c2000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000003c00000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0001e0000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000180000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0003f0000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000e000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000fe0000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000001f000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 001fc0000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000001f800000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 003f80000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000fc00000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 003f00000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000007e00000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 001e00000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000003f00000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 010c00000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000001f00000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 038000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000001e00000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 07c000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000c00000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0fc000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000070000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 1f8000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000f8000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 3f0000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000f8000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 7e0000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000fc000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 7c0000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000007e000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 380000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000003f000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000002 % 100000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000001f800000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000007 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000f000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000000000f % 800000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000006000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000000001f % 800000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000300000000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000000003f % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000780000000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000000007e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000fc0000000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000000000000fc % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000007c0000000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000000000000f8 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000003e0000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000070 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000003f0000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000001f8000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000600 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000f8000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000f00 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000070000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000001f80 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000060000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000003f00 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000003000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000007e00 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000007000000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000000fc00 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000f800000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000000f800 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000fc00000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000000f000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000007e00000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000007000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000003f00000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000040000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000001f00000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000000000e0000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000001f80000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000000001f0000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000f00000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000000001f0000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000600000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000000003e0000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000020000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000000007e0000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000070000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000fc0000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000f8000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000f80000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000f8000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000f00000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000007c0000000000000010 % 000000000000000000000000000000000000000000000000000000000000000000000000600000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000003e0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000003e0000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000000000e000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000001f0000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000000000f800000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000001f0000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000000001f000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000c0000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000000003f000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 0000003ce00000000000700000000000000000000000000000000000000000000000003e000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000004000000000000000 % 0000007ce00000000000700000000000000000000000000000000000000000000000007c000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000001e000000000000000 % 000000fce0000000007070000000000000000000000000000000000000000000000000fc000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000001e000000000000000 % 000000e000000000007000000000000000000000000000000000000000000000000000f8000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000001f000000000000000 % 000000e00000000000700000000000000000000000000000000000000000000000000030000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000001f800000000000000 % 000000e00000000000700000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000f800000000000000 % 000000e00000000000700000000000000000000000000000000000000000000000000200000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000007c00000000000000 % 000003fce3c0f01f81fe700f8038f0000000000000000000000000000000000000000780000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000007c00000000000000 % 000003fce1e0e07fe1fe703fe039fc000000000000000000000000000000000000000fc0000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000003c00000000000000 % 000003fce0e1e0fff1fe707ff03bfe000000000000000000000000000000000000000f80000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000003800000000000000 % 000000e0e0f3c0e0f07070f0783e1e000000000000000000000000000000000000001f00000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000e0e07381c0707070e0383c0e000000000000000000000000000000000000003f00000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000180000000000000 % 000000e0e07f81c0707071e03c3c0e000000000000000000000000000000000000003e00000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000780000000000000 % 000000e0e03f0000707071c01c380e000000000000000000000000000000000000007c00000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000007c0000000000000 % 000000e0e01e000ff07071c01c380e000000000000000000000000000000000000003c00000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000007c0000000000000 % 000000e0e01e00fff07071c01c380e000000000000000000000000000000000000001800000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000003e0000000000000 % 000000e0e01f01e0707071c01c380e000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000001f0000000000000 % 000000e0e03f0380707071c01c380e000000000000000000000000000000000000018000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000001f0000000000000 % 000000e0e07f8380707071e03c380e00000000000000000000000000000000000003c000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000f8000000000000 % 000000e0e0738380f07070e038380e00000000000000000000000000000000000003c000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000f8000000000000 % 000000e0e0f1c3c1f07070f078380e00000000000000000000000000000000000007c000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000060000000000000 % 000000e0e1e1e3fffc7e707ff0380e000000000000000000000000000000000000078000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000e0e1c0e1ff7c7e703fe0380e0000000000000000000000000000000000000f8000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000e0e3c0f07c3c3e700f80380e0000000000000000000000000000000000001f0000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000e000000000000 % 0000000000000000000000000000000000000000000000000000000000000000001f0000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000001f000000000000 % 0000000000000000000000000000000000000000000000000000000000000000001e0000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000001f000000000000 % 000000000000000000000000000000000000000000000000000000000000000000060000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000f000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000f800000000000 % 000000000000000000000000000000000000000000000000000000000000000000400000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000007800000000000 % 000000000000000000000000000000000000000000000000000000000000000000f00000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000007c00000000000 % 000000000000000000000000000000000000000000000000000000000000000000f80000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000007c00000000000 % 000000000000000000000000000000000000000000000000000000000000000001f00000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000003c0000000006e % 000000000000000000000000000000000000000000000000000000000000000001f00000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000300000000006e % 000000000000000000000000000000000000000000000000000000000000000003e00000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000003e00000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000030000000006e % 000000000000000000000000000000000000000000000000000000000000000007c00000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000f0000000006e % 000000000000000000000000000000000000000000000000000000000000000007c00000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000f8000000006e % 000000000000000000000000000000000000000000000000000000000000000003800000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000078000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000007c000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000003c000000006e % 00000000000000000000000000000000000000000000000000000000000000001c000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000003e000000006e % 00000000000000000000000000000000000000000000000000000000000000003e000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000003e000000006e % 00000000000000000000000000000000000000000000000000000000000000003e000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000001e000000006e % 00000000000000000000000000000000000000000000000000000000000000007c000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000001c000000006e % 00000000000000000000000000000000000000000000000000000000000000007c000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000078000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000f8000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000001800000006e % 0000000000000000000000000000000000000000000000000000000000000000f0000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000007c00000006e % 0000000000000000000000000000000000000000000000000000000000000000f0000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000003c00000006e % 000000000000000000000000000000000000000000000000000000000000000030000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000003e00000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000003e00000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000001e00000006e % 0000000000000000000000000000000000000000000000000000000000000003c0000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000001f00000006e % 0000000000000000000000000000000000000000000000000000000000000003c0000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000f00000006e % 0000000000000000000000000000000000000000000000000000000000000007c0000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000f00000006e % 000000000000000000000000000000000000000000000000000000000000000780000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000e00000006e % 000000000000000000000000000000000000000000000000000000000000000780000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000f80000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000f00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000001c0000006e % 000000000000000000000000000000000000000000000000000000000000001f00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000003c0000006e % 000000000000000000000000000000000000000000000000000000000000001f00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000003c0000006e % 000000000000000000000000000000000000000000000000000000000000000200000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000003e0000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000003e0000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000001e0000006e % 000000000000000000000000000000000000000000000000000000000000003800000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000001f0000006e % 000000000000000000000000000000000000000000000000000000000000007c00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000001f0000006e % 000000000000000000000000000000000000000000000000000000000000007800000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000f0000006e % 000000000000000000000000000000000000000000000000000000000000007800000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000e0000006e % 00000000000000000000000000000000000000000000000000000000000000f800000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000000f000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000001f000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000001c000006e % 00000000000000000000000000000000000000000000000000000000000001f000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000003c000006e % 00000000000000000000000000000000000000000000000000000000000001e000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000003c000006e % 000000000000000000000000000000000000000000000000000000000000006000000000000000 % 0000000000000000000000000000000000000000000ffc70000000000000000000000000000000 % 000000000000000000000000000003e000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000000001ff8ffc7fc3f800000000000000000000000000 % 000000000000000000000000000003e0000010 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000001f1ff8ffc7fc3fe3f000000000000000000000000 % 000000000000000000000000000001e0000000 % 000000000000000000000000000000000000000000000000000000000000038000000000000000 % 0000000000000000000000000000000000001ff1ff8ffc7fc3fe3ff00000000000000000000000 % 000000000000000000000000000001f0000000 % 00000000000000000000000000000000000000000000000000000000000003c000000000000000 % 00000000000000000000000000000000001e1ff1ff80001fc7fe3ff1fc00000000000000000000 % 000000000000000000000000000001f0000000 % 00000000000000000000000000000000000000000000000000000000000007c000000000000000 % 0000000000000000000000000000000001ff1ff000000000000e3ff1ff80000000000000000000 % 000000000000000000000000000000f0000000 % 000000000000000000000000000000000000000000000000000000000000078000000000000000 % 0000000000000000000000000000000003ff1f0000000000000001f1ff8f000000000000000000 % 000000000000000000000000000000e0000000 % 000000000000000000000000000000000000000000000000000000000000078000000000000000 % 00000000000000000000000000000001e3ff00000000000000000001ff1ff80000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000078000000000000000 % 0000000000000000000000000000001fe3f000000000000000000000071ff8c000000000000000 % 00000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000000f8000000000000000 % 0000000000000000000000000000003fe10000000000000000000000001ff8fc00000000000000 % 0000000000000000000000000000000c000000 % 0000000000000000000000000000000000000000000000000000000000000f0000000000000000 % 00000000000000000000000000000c3ff000000000000000000000000001f8ffc0000000000000 % 0000000000000000000000000000003c000000 % 0000000000000000000000000000000000000000000000000000000000000f0000000000000000 % 00000000000000000000000000003e3f800000000000000000000000000000ffc0000000000000 % 0000000000000000000000000000003c000000 % 000000000000000000000000000000000000000000000000000000000000070000000000000000 % 0000000000000000000000000001fe38000000000000000000000000000000ff87800000000000 % 0000000000000000000000000000003c000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000007fe00000000000000000000000000000000078ff00000000000 % 0000000000000000000000000000003e000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000047fc00000000000000000000000000000000000ffc0000000000 % 0000000000000000000000000000003e000000 % 000000000000000000000000000000000000000000000000000000000000180000000000000000 % 00000000000000000000000003e3e000000000000000000000000000000000000ffc6000000000 % 0000000000000000000000000000001e000000 % 0000000000000000000000000000000000000000000000000000000000001e0000000000000000 % 0000000000000000000000001fe300000000000000000000000000000000000001f87c00000000 % 0000000000000000000000000000001e000000 % 0000000000000000000000000000000000000000000000000000000000001e0000000000000000 % 0000000000000000000000007fe00000000000000000000000000000000000000018ff00000000 % 0000000000000000000000000000001e000000 % 0000000000000000000000000000000000000000000000000000000000003e0000000000000000 % 0000000000000000000000007fc00000000000000000000000000000000000000000ffc0000000 % 0000000000000000000000000000001e000000 % 0000000000000000000000000000000000000000000000000000000000003c0000000000000000 % 00000000000000000000000e3f0000000000000000000000000000000000000000007fc0000000 % 00000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000003c0000000000000000 % 00000000000000000000003e380000000000000000000000000000000000000000000fc7000000 % 00000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000003c0000000000000000 % 0000000000000000000000fe00000000000000000000000000000000000000000000018fc00003 % f0000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000007c0000000000000000 % 0000000000000000000003ff00000000000000000000000000000000000000000000000ff80003 % f000000000000000000000000000000f800000 % 000000000000000000000000000000000000000000000000000000000000780000000000000000 % 0000000000000000000003fc00000000000000000000000000000000000000000000000ffc0043 % f180000000000000000000000000000f800000 % 000000000000000000000000000000000000000000000000000000000000780000000000000000 % 0000000000000000000063f0000000000000000000000000000000000000000000000003fc00e3 % f3c00000000000000000000000000007800000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000001e3800000000000000000000000000000000000000000000000007871f3 % f7e00000000000000000000000000007800000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000ff00000000000000000000000000000000000000000000000000018fffb % fff00000000000000000000000000007800000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000003ff00000000000000000000000000000000000000000000000000000ffff % ffe00000000000000000000000000007c00000 % 000000000000000000000000000000000000000000000000000000000000f00000000000000000 % 0000000000000000003fe00000000000000000000000000000000000000000000000000000ffff % ffc00000000000000000000000000003c00000 % 000000000000000000000000000000000000000000000000000000000000f00000000000000000 % 0000000000000000003f0000000000000000000000000000000000000000000000000000003fff % ff800000000000000000000000000003c00000 % 000000000000000000000000000000000000000000000000000000000000f00000000000000000 % 0000000000000000061c0000000000000000000000000000000000000000000000000000000fff % 3f000000000000000000000000000003c00000 % 000000000000000000000000000000000000000000000000000000000001f00000000000000000 % 00000000000000001f0000000000000000000000000000000000000000000000000000000007ff % 1ff80000000000000000000000000003800000 % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 00000000000000007f0000000000000000000000000000000000000000000000000000000007ff % cff80000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 0000000000000001ff8000000000000000000000000000000000000000000000000000000007ff % fff80000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 0000000000000001fe0000000000000000000000000000000000000000000000000000000007ff % fff80000000000000000000000000000600000 % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 0000000000000001f80000000000000000000000000000000000000000000000000000000007ff % fff80000000000000000000000000001e00000 % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 0000000000000031e00000000000000000000000000000000000000000000000000000000007fe % fff80000000000000000000000000001f00000 % 000000000000000000000000000000000000000000000000000000000000600000000000000000 % 00000000000000f88000000000000000000000000000000000000000000000000000000000007f % ffe00000000000000000000000000000f00000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000003f8000000000000000000000000000000000000000000000000000000000000ff % fff00000000000000000000000000000f00000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000007f8000000000000000000000000000000000000000000000000000000000001ff % fffc0000000000000000000000000000f0006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000001ff0000000000000000000000000000000000000000000000000000000000003ff % fffe0000000000000000000000000000f8006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 0000000000000fc0000000000000000000000000000000000000000000000000000000000003fb % ffff0000000000000000000000000000f8006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 0000000000000f00000000000000000000000000000000000000000000000000000000000001f3 % ffff000000000000000000000000000078006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 0000000000018600000000000000000000000000000000000000000000000000000000000000e3 % f7ce300000000000000000000000000078006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 000000000007c00000000000000000000000000000000000000000000000000000000000000043 % f384380000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 00000000000fe00000000000000000000000000000000000000000000000000000000000000003 % f0007e0000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 00000000003fc00000000000000000000000000000000000000000000000000000000000000003 % f0007f0000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 00000000007f800000000000000000000000000000000000000000000000000000000000000000 % 00003fc00000000000000000000000003c006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 00000000007e000000000000000000000000000000000000000000000000000000000000000000 % 00001fe00000000000000000000000003c006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 00000000003c000000000000000000000000000000000000000000000000000000000000000000 % 000007c00000000000000000000000003e006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000e30000000000000000000000000000000000000000000000000000000000000000000 % 000001c00000000000000000000000003e006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000001e00000000000000000000000000000000000000000000000000000000000000000000 % 0000000e0000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000007f00000000000000000000000000000000000000000000000000000000000000000000 % 0000000f8000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000007000000000000000000 % 00000000ff00000000000000000000000000000000000000000000000000000000000000000000 % 0000001fc000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 00000001fc00000000000000000000000000000000000000000000000000000000000000000000 % 0000000fe000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 00000003f800000000000000000000000000000000000000000000000000000000000000000000 % 00000007f000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 00000001e000000000000000000000000000000000000000000000000000000000000000000000 % 00000003f800000000000000000000001c006e % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 00000010c000000000000000000000000000000000000000000000000000000000000000000000 % 00000000f0000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f800000000000000000 % 000000380000000000000000000000000000000000000000000000000000000000000000000000 % 0000000070000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000fc0000000000000000000000000000000000000000000000000000000000000000000000 % 0000000003800000000000000000000001006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000001fc0000000000000000000000000000000000000000000000000000000000000000000000 % 0000000003c0000000000000000000000f006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000003f80000000000000000000000000000000000000000000000000000000000000000000000 % 0000000007f0000000000000000000000f006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000007f00000000000000000000000000000000000000000000000000000000000000000000000 % 0000000003f8000000000000000000000f006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000fc00000000000000000000000000000000000000000000000000000000000000000000000 % 0000000001fc000000000000000000000f006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000007800000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000fe000000000000000000000f806e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000043000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000007c0000000000000000000007806e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 0000e0000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000180000000000000000000007806e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 0003f0000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000c000000000000000000007806e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 0007f0000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000001e000000000000000000007806e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000fe0000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000001f000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 001fc0000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000001f800000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 003f00000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000fc00000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 001e00000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000007e00000000000000000003c06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000c00000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000003f00000000000000000003c06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 018000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000001e00000000000000000003c06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 03c000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000c00000000000000000003c06e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 07c000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000060000000000000000003c06e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0fc000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000f0000000000000000003c06e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 1f8000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000f8000000000000000003c06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 3f0000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000fc000000000000000003e06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 7e0000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000007e000000000000000003e06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 3c0000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000003f000000000000000001e06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 180000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000001f8000000000000000000010 % 00000000000000000000000000000000000000000000000000000000000f000000000000000007 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000f0000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f00000000000000000f % 800000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000060000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f00000000000000001f % 800000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000001e000 % 00000000000000000000000000000000000000000000000000000000000f00000000000000003f % 800000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000700000000000000001e000 % 00000000000000000000000000000000000000000000000000000000000f00000000000000007f % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000f80000000000000001f000 % 0000000000000000000000000000000000000000000000000000000000000000000000000000fe % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000fc0000000000000000f000 % 0000000000000000000000000000000000000000000000000000000000000000000000000000fc % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000007e0000000000000000f000 % 000000000000000000000000000000000000000000000000000000000000000000000000000078 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000003e0000000000000000f000 % 000000000000000000000000000000000000000000000000000000000000000000000000000030 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000001f0000000000000000f000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000600 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000001f8000000000000000f000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000f00 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000f8000000000000000f000 % 00000000000000000000000000000000000000000000000000000000000f000000000000001f80 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000060000000000000000c000 % 00000000000000000000000000000000000000000000000000000000000f000000000000001f00 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000003e00 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000070000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000007e00 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000f8000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f00000000000000fc00 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000fc000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f00000000000000f800 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000007c000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000007000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000003e000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000002000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000003f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000060000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000001f800000000000000000 % 0000000000000000000000000000000000000000000000000000000000000000000000000f0000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000f800000000000000000 % 0000000000000000000000000000000000000000000000000000000000000000000000001f0000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000006000000000000000000 % 0000000000000000000000000000000000000000000000000000000000000000000000003f0000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000000000000000007e0000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000700000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000fc0000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000f00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000f80000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000f80000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000f80000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000fc0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000700000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000007c0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000003e0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000006000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000003f0000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000000000f000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000001f0000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000000001f800000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000e0000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000000001f000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000c0000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000000003e000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000000007e000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000c000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000000007c000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000001e000000000000000 % 0000000000000000000000000000000000000000000000000000000000000000000000f8000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000001f000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000078000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000001f00000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000030000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000f80000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000f80000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000700000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000007c0000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000007c0000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000003c0000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000f80000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000003c0000000000006e % 000000000000000000000000000000000000000000000000000000000000000000001f80000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000100000000000006e % 000000000000000000000000000000000000000000000000000000000000000000001f00000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000003e00000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000038000000000006e % 000000000000000000000000000000000000000000000000000000000000000000007e00000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000007c000000000006e % 000000000000000000000000000000000000000000000000000000000000000000007c00000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000007c000000000006e % 000000000000000000000000000000000000000000000000000000000000000000003800000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000003e000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000003e000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000001f000000000006e % 000000000000000000000000000000000000000000000000000000000000000000038000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000001f800000000006e % 00000000000000000000000000000000000000000000000000000000000000000003c000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000f800000000006e % 00000000000000000000000000000000000000000000000000000000000000000007c000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000007000000000006e % 00000000000000000000000000000000000000000000000000000000000000000007c000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000f8000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000f8000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000600000000006e % 0000000000e00000000000380000000000000000000000000000000000000000001f0000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000001e00000000006e % 0000000000e00000000000380000000000000000000000000000000000000000001f0000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000001f00000000006e % 00000000e0e00000000000380000000000000000000000000000000000000000000e0000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000001f00000000006e % 00000000e000000000000038000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000f80000000006e % 00000000e000000000000038000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000f80000000006e % 00000000e000000000000038000000000000000000000000000000000000000000600000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000007c0000000006e % 00000000e000000000000038000000000000000000000000000000000000000000f80000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000007c0000000006e % 00003f03fce0e3c3e0701c38380e07e00000000000000000000000000000000000f80000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000003c0000000006e % 0000ff83fce0efe7f0701c38380e1ff00000000000000000000000000000000001f00000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000380000000006e % 0000ffc3fce0effff8701c38380e1ff80000000000000000000000000000000001f00000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 0001e1e0e0e0f8fc78701c38380e3c3c0000000000000000000000000000000003e00000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 0001c0e0e0e0f07838701c38380e381c0000000000000000000000000000000003e00000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000070000000006e % 0001c0e0e0e0e07038701c38380e381c0000000000000000000000000000000007c00000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000f8000000006e % 0001f000e0e0e07038701c38380e3e000000000000000000000000000000000007800000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000f8000000006e % 0000ff00e0e0e07038701c38380e1fe00000000000000000000000000000000001800000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000007c000000006e % 00007fc0e0e0e07038701c38380e0ff80000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000007c000000006e % 00001fe0e0e0e07038701c38380e03fc0000000000000000000000000000000018000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000003c000000006e % 000000f0e0e0e07038701c38380e001e000000000000000000000000000000001e000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000003e000000006e % 0001c070e0e0e07038701c38380e380e000000000000000000000000000000003e000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000001e000000006e % 0001c070e0e0e07038703c38381e380e000000000000000000000000000000003c000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000001e000000006e % 0001e0f0e0e0e07038787c383c3e3c1e000000000000000000000000000000007c000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000008000000006e % 0000ffe0fce0e070387fdc383fee1ffc0000000000000000000000000000000078000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 0000ffc0fce0e070383fdc381fee1ff800000000000000000000000000000000f8000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000800000006e % 00003f807ce0e070380f1c38078e07f000000000000000000000000000000000f8000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000003c000000010 % 0000000000000000000000000000000000000000000000000000000000000000f0000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000007c000000000 % 000000000000000000000000000000000000000000000000000000000000000070000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000003e000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000003e000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000001e000000000 % 000000000000000000000000000000000000000000000000000000000000000300000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000001f000000000 % 0000000000000000000000000000000000000000000000000000000000000003c0000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000001f000000000 % 0000000000000000000000000000000000000000000000000000000000000007c0000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000f000000000 % 0000000000000000000000000000000000000000000000000000000000000007c0000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000f000000000 % 000000000000000000000000000000000000000000000000000000000000000780000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000f80000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000f80000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000f00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000003c00000000 % 000000000000000000000000000000000000000000000000000000000000001f00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000003c00000000 % 000000000000000000000000000000000000000000000000000000000000000e00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000003c00000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000003e00000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000001e00000000 % 000000000000000000000000000000000000000000000000000000000000003000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000001e00000000 % 000000000000000000000000000000000000000000000000000000000000007c00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000001f00000000 % 000000000000000000000000000000000000000000000000000000000000007c00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000f00000000 % 000000000000000000000000000000000000000000000000000000000000007800000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000f00000000 % 00000000000000000000000000000000000000000000000000000000000000f800000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000c00000000 % 00000000000000000000000000000000000000000000000000000000000000f800000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000000f000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000001f000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000003c0000000 % 00000000000000000000000000000000000000000000000000000000000001e000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000003c0000000 % 00000000000000000000000000000000000000000000000000000000000000e000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000003c0000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000003e0000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000001e0000000 % 000000000000000000000000000000000000000000000000000000000000020000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000001e0000000 % 00000000000000000000000000000000000000000000000000000000000003c000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000001f0000000 % 00000000000000000000000000000000000000000000000000000000000007c000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000f0000000 % 00000000000000000000000000000000000000000000000000000000000007c000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000f0000000 % 000000000000000000000000000000000000000000000000000000000000078000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000c0000000 % 000000000000000000000000000000000000000000000000000000000000078000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000078000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000000f8000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000003c000000 % 0000000000000000000000000000000000000000000000000000000000000f0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000003c000000 % 0000000000000000000000000000000000000000000000000000000000000f0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000003c00006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000003c00006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000003e00006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000001e00006e % 0000000000000000000000000000000000000000000000000000000000001e0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000001e00006e % 0000000000000000000000000000000000000000000000000000000000001e0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000001e00006e % 0000000000000000000000000000000000000000000000000000000000003e0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000001e00006e % 0000000000000000000000000000000000000000000000000000000000003e0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000001c00006e % 0000000000000000000000000000000000000000000000000000000000003c0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 0000000000000000000000000000000000000000000000000000000000003c0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 0000000000000000000000000000000000000000000000000000000000007c0000000000000000 % 0000000000000000000000000000000000000000000ffc70000000000000000000000000000000 % 0000000000000000000000000000000100006e % 0000000000000000000000000000000000000000000000000000000000007c0000000000000000 % 0000000000000000000000000000000000000001ff8ffc7fc3f800000000000000000000000000 % 0000000000000000000000000000000f80006e % 000000000000000000000000000000000000000000000000000000000000780000000000000000 % 00000000000000000000000000000000000001f1ff8ffc7fc3fe3f000000000000000000000000 % 0000000000000000000000000000000780006e % 000000000000000000000000000000000000000000000000000000000000180000000000000000 % 0000000000000000000000000000000000001ff1ff8ffc7fc3fe3ff00000000000000000000000 % 0000000000000000000000000000000780006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000001e1ff1ff80001fc7fe3ff1fc00000000000000000000 % 0000000000000000000000000000000780006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000001ff1ff000000000000e3ff1ff80000000000000000000 % 00000000000000000000000000000007c0006e % 000000000000000000000000000000000000000000000000000000000000c00000000000000000 % 0000000000000000000000000000000003ff1f0000000000000001f1ff8f000000000000000000 % 00000000000000000000000000000007c0006e % 000000000000000000000000000000000000000000000000000000000000f00000000000000000 % 00000000000000000000000000000001e3ff00000000000000000001ff1ff80000000000000000 % 00000000000000000000000000000003c0006e % 000000000000000000000000000000000000000000000000000000000000f00000000000000000 % 0000000000000000000000000000001fe3f000000000000000000000071ff8c000000000000000 % 00000000000000000000000000000003c0006e % 000000000000000000000000000000000000000000000000000000000001f00000000000000000 % 0000000000000000000000000000003fe10000000000000000000000001ff8fc00000000000000 % 00000000000000000000000000000003c0006e % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 00000000000000000000000000000c3ff000000000000000000000000001f8ffc0000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 00000000000000000000000000003e3f800000000000000000000000000000ffc0000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 0000000000000000000000000001fe380000000000000000000000000000007f87800000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 0000000000000000000000000007fe00000000000000000000000000000000078ff00000000000 % 00000000000000000000000000000001e0006e % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 0000000000000000000000000047fc00000000000000000000000000000000000ffc0000000000 % 00000000000000000000000000000001f0006e % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 00000000000000000000000003e3e000000000000000000000000000000000000ffc6000000000 % 00000000000000000000000000000001f0006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000001fe300000000000000000000000000000000000001f87c00000000 % 00000000000000000000000000000000f0006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000007fe00000000000000000000000000000000000000018ff00000000 % 00000000000000000000000000000000f0006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000007fc00000000000000000000000000000000000000000ffc0000000 % 00000000000000000000000000000000f0006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 00000000000000000000000e3f0000000000000000000000000000000000000000007fc0000000 % 00000000000000000000000000000000f8006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 00000000000000000000003e380000000000000000000000000000000000000000000fc7000000 % 0000000000000000000000000000000078006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 0000000000000000000000fe00000000000000000000000000000000000000000000018fc00000 % 0000000000000000000000000000000078006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 0000000000000000000003ff00000000000000000000000000000000000000000000000ff80000 % 0000000000000000000000000000000060006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 0000000000000000000003fc00000000000000000000000000000000000000000000000ffc0000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 0000000000000000000063e0000000000000000000000000000000000000000000000003fc0000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 00000000000000000001e380000000000000000000000000000000000000000000000000787000 % 000000000000000000000000000000000c006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 0000000000000000000ff00000000000000000000000000000000000000000000000000018fc00 % 000000000000000000000000000000003c006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 0000000000000000003ff00000000000000000000000000000000000000000000000000000ff00 % 000000000000000000000000000000003c006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 0000000000000000003fe00000000000000000000000000000000000000000000000000000ffc0 % 000000000000000000000000000000003e006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000003f0000000000000000000000000000000000000000000000000000003fc0 % 000000000000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000061c0000000000000000000000000000000000000000000000000000000f8c % 000000000000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000001f00000000000000000000000000000000000000000000000000000000038f % 000000000000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 00000000000000007f80000000000000000000000000000000000000000000000000000000001f % c00000000000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 0000000000000001ff00000000000000000000000000000000000000000000000000000000001f % f00000000000000000000000000000001e0010 % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 0000000000000001fe00000000000000000000000000000000000000000000000000000000000f % f80000000000000000000000000000001e0000 % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 0000000000000001f8000000000000000000000000000000000000000000000000000000000003 % f8000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 0000000000000031e0000000000000000000000000000000000000000000000000000000000000 % f0800000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f800000000000000000 % 00000000000000f880000000000000000000000000000000000000000000000000000000000000 % 31e00000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 00000000000003f800000000000000000000000000000000000000000000000000000000000000 % 03f000000000000000000000000000000f0000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 00000000000007f800000000000000000000000000000000000000000000000000000000000000 % 03fc00000000000000000000000000000f0000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 0000000000001ff000000000000000000000000000000000000000000000000000000000000000 % 01fe00000000000000000000000000000f0000 % 000000000000000000000000000000000000000000000000000000000001000000000000000000 % 0000000000000fc000000000000000000000000000000000000000000000000000000000000000 % 007f00000000000000000000000000000f0000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000f0000000000000000000000000000000000000000000000000000000000000000 % 007f00000000000000000000000000000f0000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000001860000000000000000000000000000000000000000000000000000000000000000 % 00ffb0000000000000000000000000000f8000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000007c00000000000000000000000000000000000000000000000000000000000000000 % 03ffb800000000000000000000000000078000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 00000000000fe00000000000000000000000000000000000000000000000000000000000000000 % 07fffe00000000000000000000000000078000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 00000000003fc00000000000000000000000000000000000000000000000000000000000000000 % 0fe7ff00000000000000000000000000078000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 00000000007f800000000000000000000000000000000000000000000000000000000000000000 % 1fc7bfc0000000000000000000000000070000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 00000000007e000000000000000000000000000000000000000000000000000000000000000000 % 3f879fe0000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 00000000003c000000000000000000000000000000000000000000000000000000000000000000 % 7e0f87c0000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000e30000000000000000000000000000000000000000000000000000000000000000000 % fc1f81c0000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000001e00000000000000000000000000000000000000000000000000000000000000000001 % f83f000e00000000000000000000000003c000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000007f00000000000000000000000000000000000000000000000000000000000000000003 % f07e000f80000000000000000000000003c000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 00000000ff00000000000000000000000000000000000000000000000000000000000000000007 % e0fc001fc0000000000000000000000003c000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000001fc0000000000000000000000000000000000000000000000000000000000000000000f % c0f8000fe0000000000000000000000003c000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000003f80000000000000000000000000000000000000000000000000000000000000000001f % 81f00007f0000000000000000000000003c000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000001e00000000000000000000000000000000000000000000000000000000000000000003f % 03f00003f8000000000000000000000003c000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 00000010c00000000000000000000000000000000000000000000000000000000000000000007f % 07e00000f0000000000000000000000003c000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 0000003800000000000000000000000000000000000000000000000000000000000000000000fe % 0fc0000070000000000000000000000003e000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000fc00000000000000000000000000000000000000000000000000000000000000000001f8 % 1f80000003800000000000000000000001e000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000001fc00000000000000000000000000000000000000000000000000000000000000000001f0 % 3f00000003c000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000003f800000000000000000000000000000000000000000000000000000000000000000003f0 % 3e00000007f000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000007f000000000000000000000000000000000000000000000000000000000000000000007e0 % 7c00000003f800000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 00000fc00000000000000000000000000000000000000000000000000000000000000000000fc0 % 7c00000001fc00000000000000000000006000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000007800000000000000000000000000000000000000000000000000000000000000000001f80 % f800000000fe0000000000000000000001e000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000043000000000000000000000000000000000000000000000000000000000000000000001f01 % f0000000007c0000000000000000000001e000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 0000e0000000000000000000000000000000000000000000000000000000000000000000003e01 % f000000000180000000000000000000001f000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0003f0000000000000000000000000000000000000000000000000000000000000000000007e03 % e00000000000c000000000000000000000f000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0007f000000000000000000000000000000000000000000000000000000000000000000000fc03 % e00000000001e000000000000000000000f000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000fe000000000000000000000000000000000000000000000000000000000000000000000f807 % c00000000001f000000000000000000000f000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 001fc0000000000000000000000000000000000000000000000000000000000000000001fff00f % c00000000001f800000000000000000000f000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 003f0000000000000000000000000000000000000000000000000000000000000000000ffff00f % e00000000000fc00000000000000000000f06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 001e0000000000000000000000000000000000000000000000000000000000000000001fffe01f % f000000000007e00000000000000000000f06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000c0000000000000000000000000000000000000000000000000000000000000000001fffc03f % f800000000003f00000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 01800000000000000000000000000000000000000000000000000000000000000000003f9f803e % f800000000001e00000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 03c00000000000000000000000000000000000000000000000000000000000000000007e1f807c % 7c00000000000c00000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 07c0000000000000000000000000000000000000000000000000000000000000000000fc3f00fc % 7c00000000000060000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 0fc0000000000000000000000000000000000000000000000000000000000000000000f87e00f8 % 3c000000000000f0000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 1f80000000000000000000000000000000000000000000000000000000000000000001f07c01f8 % 7e000000000000f8000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 3f00000000000000000000000000000000000000000000000000000000000000000003f0fc01f0 % 7e000000000000fc000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 7e00000000000000000000000000000000000000000000000000000000000000000003e1f803e0 % ff0000000000007e000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 3c00000000000000000000000000000000000000000000000000000000000000000007c1f003e0 % ff8000000000003f000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 180000000000000000000000000000000000000000000000000000000000000000000fc3f007c0 % ff8000000000001f800000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000007 % 000000000000000000000000000000000000000000000000000000000000000000000f87e007c1 % f7c000000000000f000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000000000f % 800000000000000000000000000000000000000000000000000000000000000000001f07c00f81 % f7c0000000000006000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000000001f % 800000000000000000000000000000000000000000000000000000000000000000001f0f800303 % e3c0000000000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000000003f % 800000000000000000000000000000000000000000000000000000000000000000003e1f800003 % e7c0000000000000700000000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000000007f % 000000000000000000000000000000000000000000000000000000000000000000003e1f000007 % c7c0000000000000f80000000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000000000000fe % 000000000000000000000000000000000000000000000000000000000000000000007c0e000007 % c7c0000000000000fc0000000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000000000000fc % 00000000000000000000000000000000000000000000000000000000000000000000f806000007 % 8fe00000000000007e0000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000078 % 00000000000000000000000000000000000000000000000000000000000000000000f80000000f % 8ff00000000000003e0000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000030 % 00000000000000000000000000000000000000000000000000000000000000000000f00000000f % 0ff00000000000001f0000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000600 % 00000000000000000000000000000000000000000000000000000000000000000000f00000001f % 1ff80000000000001f8000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000f00 % 00000000000000000000000000000000000000000000000000000000000000000000f00000000f % 1f780000000000000f8000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000001f80 % 00000000000000000000000000000000000000000000000000000000000000000000f000000002 % 1e7c000000000000060000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000001f00 % 00000000000000000000000000000000000000000000000000000000000000000000f000000000 % 3e3c000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000003e00 % 00000000000000000000000000000000000000000000000000000000000000000000f000000000 % 3e3c000000000000007000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000007e00 % 00000000000000000000000000000000000000000000000000000000000000000000f000000000 % 3c3c00000000000000f800000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000000fc00 % 00000000000000000000000000000000000000000000000000000000000000000000f000000000 % 7c3c00000000000000fc00000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000000f800 % 00000000000000000000000000000000000000000000000000000000000000000000f000000000 % 187c000000000000007c00000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000007000 % 00000000000000000000000000000000000000000000000000000000000000000000f000000000 % 0078000000000000003e00000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000002000 % 00000000000000000000000000000000000000000000000000000000000000000000f000000000 % 0078000000000000003f00000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000060000 % 00000000000000000000000000000000000000000000000000000000000000000000f800000000 % 00f8000000000000001f80000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000000000f0000 % 000000000000000000000000000000000000000000000000000000000000000000007800000000 % 00f0000000000000000f80000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000000001f0000 % 000000000000000000000000000000000000000000000000000000000000000000007800000000 % 00f0000000000000000600000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000000003f0000 % 000000000000000000000000000000000000000000000000000000000000000000007800000000 % 01f0000000000000000000000000000000006e % 0000000000000000000000000000000000000000000000000000000000000000000000007e0000 % 000000000000000000000000000000000000000000000000000000000000000000007800000000 % 01e0000000000000000070000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000fc0000 % 000000000000000000000000000000000000000000000000000000000000000000007800000000 % 03e00000000000000000f0000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000f80000 % 000000000000000000000000000000000000000000000000000000000000000000007800000000 % 03e00000000000000000f8000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000f80000 % 000000000000000000000000000000000000000000000000000000000000000000007800000000 % 07c00000000000000000fc000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000700000 % 000000000000000000000000000000000000000000000000000000000000000000007800000000 % 07c000000000000000007c000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000007800000000 % 078000000000000000003e000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000006000000 % 000000000000000000000000000000000000000000000000000000000000000000007800000000 % 0f8000000000000000003f000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000000f000000 % 000000000000000000000000000000000000000000000000000000000000000000007800000000 % 0f0000000000000000001f000000000000006e % 00000000000000000000000000000000000000000000000000000000000000000000001f800000 % 000000000000000000000000000000000000000000000000000000000000000000007800000000 % 1f0000000000000000000e0000000000000010 % 00000000000000000000000000000000000000000000000000000000000000000000001f000000 % 00000000000000000000000000000000000000000000000000000000000000000000f800000000 % 1f0000000000000000000c0000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000000003e000000 % 00000000000000000000000000000000000000000000000000000000000000000000f800000000 % 3e000000000000000000000000000000000000 % 00000000000007000000038000000000000000000000000000000000000000000000007e000000 % 00000000000000000000000000000000000000000000000000000000000000000001f000000000 % 3e00000000000000000000c000000000000000 % 00000000000007000000038000000000000000000000000000000000000000000000007c000000 % 00000000000000000000000000000000000000000000000000000000000000000003f000000000 % 7c00000000000000000001e000000000000000 % 0000000000000700000383800000000000000000000000000000000000000000000000f8000000 % 00000000000000000000000000000000000000000000000000000000000000000003e000000000 % 7c00000000000000000001f000000000000000 % 000000000000000000038000000000000000000000000000000000000000000000000078000000 % 00000000000000000000000000000000000000000000000000000000000000000007c000000000 % 7800000000000000000001f000000000000000 % 000000000000000000038000000000000000000000000000000000000000000000000030000000 % 0000000000000000000000000000000000000000000000000000000000000000000fc000000000 % f800000000000000000000f800000000000000 % 000000000000000000038000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000000000001f8000000003 % f000000000000000000000f800000000000000 % 000000000000000000038000000000000000000000000000000000000000000000000700000000 % 0000000000000000000000000000000000000000000000000000000000000000001f000000001f % f0000000000000000000007c00000000000000 % 000038f800f8070e3c0ff3871e003e7000000000000000000000000000000000000007c0000000 % 0000000000000000000000000000000000000000000000000000000000000000003e00000000ff % e0000000000000000000003c00000000000000 % 00003bfc03fe070e7f0ff3873f807f700000000000000000000000000000000000000f80000000 % 0000000000000000000000000000000000000000000000000000000000000000007e00000007ff % c0000000000000000000003c00000000000000 % 00003bfe07ff070eff8ff3877fc0ff700000000000000000000000000000000000001f80000000 % 0000000000000000000000000000000000000000000000000000000000000000007c0000003ffe % 00000000000000000000001000000000000000 % 00003e1f0f07870f87838387c3c1e1f00000000000000000000000000000000000001f00000000 % 000000000000000000000000000000000000000000000000000000000000000000f80000007ff0 % 00000000000000000000000000000000000000 % 00003c070e03870f0383838781c1c0f00000000000000000000000000000000000003e00000000 % 000000000000000000000000000000000000000000000000000000000000000001f8000000ff80 % 00000000000000000000000380000000000000 % 00003c079e03c70f0383838781c3c0f00000000000000000000000000000000000007e00000000 % 000000000000000000000000000000000000000000000000000000000000000003f0000000fc00 % 000000000000000000000007c0000000000000 % 000038039c01c70e0383838701c380700000000000000000000000000000000000007c00000000 % 000000000000000000000000000000000000000000000000000000000000000003e0000001f000 % 000000000000000000000007c0000000000000 % 000038039c01c70e0383838701c380700000000000000000000000000000000000003800000000 % 000000000000000000000000000000000000000000000000000000000000000007c0000003f000 % 000000000000000000000003e0000000000000 % 000038039c01c70e0383838701c380700000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000fc0000003e000 % 000000000000000000000003e0000000000000 % 000038039c01c70e0383838701c380700000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000f80000007c000 % 000000000000000000000001f0000000000000 % 000038039c01c70e0383838701c38070000000000000000000000000000000000003c000000000 % 00000000000000000000000000000000000000000000000000000000000000001f0000000fc000 % 000000000000000000000001f8000000000000 % 00003c079e03c70e0383838701c3c0f0000000000000000000000000000000000003c000000000 % 00000000000000000000000000000000000000000000000000000000000000003f0000000f8000 % 000000000000000000000000f8000000000000 % 00003c070e03870e0383838701c1c0f0000000000000000000000000000000000007c000000000 % 00000000000000000000000000000000000000000000000000000000000000007e0000001f0000 % 00000000000000000000000070000000000000 % 00003e0f0f07870e0383838701c1e1f0000000000000000000000000000000000007c000000000 % 00000000000000000000000000000000000000000000000000000000000000007c0000001f0000 % 00000000000000000000000000000000000000 % 00003ffe07ff070e0383f38701c0ff7000000000000000000000000000000000000f8000000000 % 0000000000000000000000000000000000000000000000000000000000000000f80000003e0000 % 00000000000000000000000000000000000000 % 00003bfc03fe070e0383f38701c0ff7000000000000000000000000000000000000f8000000000 % 0000000000000000000000000000000000000000000000000000000000000001f80000007c0000 % 00000000000000000000000006000000000000 % 000038f800f8070e0381f38701c03c7000000000000000000000000000000000001f0000000000 % 0000000000000000000000000000000000000000000000000000000000000001f00000007c0000 % 0000000000000000000000001e000000000000 % 0000380000000000000000000000007000000000000000000000000000000000001f0000000000 % 0000000000000000000000000000000000000000000000000000000000000003e0000000f80000 % 0000000000000000000000001f000000000000 % 0000380000000000000000000001c07000000000000000000000000000000000000e0000000000 % 0000000000000000000000000000000000000000000000000000000000000007e0000001f80000 % 0000000000000000000000001f000000000000 % 0000380000000000000000000001c0e00000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000000007c0000001f00000 % 0000000000000000000000000f800000000000 % 0000380000000000000000000001e1e00000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000f80000003e00000 % 0000000000000000000000000f800000000000 % 0000380000000000000000000000ffe00000000000000000000000000000000000600000000000 % 000000000000000000000000000000000000000000000000000000000000001f00000007e00000 % 00000000000000000000000007c00000000000 % 0000380000000000000000000000ffc00000000000000000000000000000000000f80000000000 % 000000000000000000000000000000000000000000000000000000000000003f00000007c00000 % 00000000000000000000000007c00000000000 % 00003800000000000000000000003f000000000000000000000000000000000000f80000000000 % 000000000000000000000000000000000000000000000000000000000000003e0000000f800000 % 00000000000000000000000003c00000000000 % 000000000000000000000000000000000000000000000000000000000000000001f00000000000 % 000000000000000000000000000000000000000000000000000000000000007c0000001f800000 % 00000000000000000000000003800000000000 % 000000000000000000000000000000000000000000000000000000000000000001f00000000000 % 00000000000000000000000000000000000000000000000000000000000000fc0000001f000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000003e00000000000 % 00000000000000000000000000000000000000000000000000000000000000f80000003e000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000003e00000000000 % 00000000000000000000000000000000000000000000000000000000000001f00000003e000000 % 00000000000000000000000000700000000000 % 000000000000000000000000000000000000000000000000000000000000000007c00000000000 % 00000000000000000000000000000000000000000000000000000000000003e00000007c000000 % 00000000000000000000000000f8000000006e % 000000000000000000000000000000000000000000000000000000000000000007800000000000 % 00000000000000000000000000000000000000000000000000000000000003e0000000f8000000 % 00000000000000000000000000f8000000006e % 000000000000000000000000000000000000000000000000000000000000000001800000000000 % 00000000000000000000000000000000000000000000000000000000000003c0000000f8000000 % 000000000000000000000000007c000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000000180000001f0000000 % 000000000000000000000000007c000000006e % 000000000000000000000000000000000000000000000000000000000000000018000000000000 % 0000000000000000000000000000000000000000000000000000000000000000000003f0000000 % 000000000000000000000000003c000000006e % 00000000000000000000000000000000000000000000000000000000000000001e000000000000 % 0000000000000000000000000000000000000000000000000000000000000000000003e0000000 % 000000000000000000000000003e000000006e % 00000000000000000000000000000000000000000000000000000000000000003e000000000000 % 0000000000000000000000000000000000000000000000000000000000000000000007c0000000 % 000000000000000000000000001e000000006e % 00000000000000000000000000000000000000000000000000000000000000003c000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000fc0000000 % 000000000000000000000000001e000000006e % 00000000000000000000000000000000000000000000000000000000000000007c000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000f80000000 % 0000000000000000000000000008000000006e % 000000000000000000000000000000000000000000000000000000000000000078000000000000 % 000000000000000000000000000000000000000000000000000000000000000000001f00000000 % 0000000000000000000000000000000000006e % 007381f803f01c7c007c01c7803f000fc0000000000000000000000000000000f8000000000000 % 000000000000000000000000000000000000000000000000000000000000000000003f00000000 % 0000000000000000000000000000800000006e % 007787fc0ff81dfe01ff01cfe0ff803fe0000000000000000000000000000000f8000000000000 % 000000000000000000000000000000000000000000000000000000000000000000003e00000000 % 0000000000000000000000000003c00000006e % 007f8ffe0ffc1dff03ff81dff0ffc07ff0000000000000000000000000000000f0000000000000 % 000000000000000000000000000000000000000000000000000000000000000000007c00000000 % 0000000000000000000000000007c00000006e % 007c1e0f1e1e1f0f8783c1f0f1e1e0f07800000000000000000000000000000070000000000000 % 00000000000000000000000000000000000000000000000000000000000000000000fc00000000 % 0000000000000000000000000003e00000006e % 00781c071c0e1e038701c1e071c0e0e03800000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000000f800000000 % 0000000000000000000000000003e00000006e % 007038039c0e1e03cf01e1e071c0e1c01c00000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000000000001f000000000 % 0000000000000000000000000001e00000006e % 007038039f001c01ce00e1c071f001c01c00000000000000000000000000000300000000000000 % 00000000000000000000000000000000000000000000000000000000000000000001f000000000 % 0000000000000000000000000001f00000006e % 00703fff8ff01c01ce00e1c070ff01fffc000000000000000000000000000003c0000000000000 % 00000000000000000000000000000000000000000000000000000000000000000003e000000000 % 0000000000000000000000000001f00000006e % 00703fff87fc1c01ce00e1c0707fc1fffc000000000000000000000000000007c0000000000000 % 00000000000000000000000000000000000000000000000000000000000000000007c000000000 % 0000000000000000000000000000f00000006e % 00703fff81fe1c01ce00e1c0701fe1fffc000000000000000000000000000007c0000000000000 % 00000000000000000000000000000000000000000000000000000000000000000007c000000000 % 0000000000000000000000000000f00000006e % 00703800000f1c01ce00e1c07000f1c00000000000000000000000000000000780000000000000 % 000000000000000000000000000000000000000000000000000000000000000000038000000000 % 0000000000000000000000000000000000006e % 007038001c071e03cf01e1c071c071c00000000000000000000000000000000f80000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00701c039c071e038701c1c071c070e01c00000000000000000000000000000f80000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00701e071e0f1f078783c1c071e0f0f03800000000000000000000000000000f00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000003c0000006e % 00700fff0ffe1fff03ff81c070ffe07ff800000000000000000000000000001f00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000003c0000006e % 007007fe0ffc1dfe01ff01c070ffc03ff000000000000000000000000000000e00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000003c0000006e % 007001f803f81c7c007c01c0703f800fc000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000003e0000006e % 0000000000001c0000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000001e0000006e % 0000000000001c0000000000000000000000000000000000000000000000003000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000001e0000006e % 0000000000001c0000000000000000000000000000000000000000000000007c00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000001f0000006e % 0000000000001c0000000000000000000000000000000000000000000000007c00000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000f0000006e % 0000000000001c0000000000000000000000000000000000000000000000007800000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000f0000006e % 0000000000001c000000000000000000000000000000000000000000000000f800000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000c0000006e % 0000000000001c000000000000000000000000000000000000000000000000f800000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000000f000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000001f000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000003c000006e % 00000000000000000000000000000000000000000000000000000000000001e000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000003c000006e % 00000000000000000000000000000000000000000000000000000000000000e000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000003c000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000003e000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000001e000006e % 000000000000000000000000000000000000000000000000000000000000020000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000001e000006e % 00000000000000000000000000000000000000000000000000000000000003c000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000001f000006e % 00000000000000000000000000000000000000000000000000000000000007c000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000f000006e % 00000000000000000000000000000000000000000000000000000000000007c000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000f0000010 % 000000000000000000000000000000000000000000000000000000000000078000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000c0000000 % 000000000000000000000000000000000000000000000000000000000000078000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000078000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000000f8000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000003c000000 % 0000000000000000000000000000000000000000000000000000000000000f0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000003c000000 % 0000000000000000000000000000000000000000000000000000000000000f0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000003c000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000003c000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000003e000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000001e000000 % 0000000000000000000000000000000000000000000000000000000000001e0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000001e000000 % 0000000000000000000000000000000000000000000000000000000000001e0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000001e000000 % 0000000000000000000000000000000000000000000000000000000000003e0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000001e000000 % 0000000000000000000000000000000000000000000000000000000000003e0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000001c000000 % 0000000000000000000000000000000000000000000000000000000000003c0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000003c0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 0000000000000000000000000000000000000000000000000000000000007c0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000001000000 % 0000000000000000000000000000000000000000000000000000000000007c0000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000f800000 % 000000000000000000000000000000000000000000000000000000000000780000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000007800000 % 000000000000000000000000000000000000000000000000000000000000180000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000007800000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000007800000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000007c00000 % 000000000000000000000000000000000000000000000000000000000000c00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000007c00000 % 000000000000000000000000000000000000000000000000000000000000f00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000003c00000 % 000000000000000000000000000000000000000000000000000000000000f00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000003c00000 % 000000000000000000000000000000000000000000000000000000000001f00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000003c00000 % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000001e00000 % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000001f00000 % 000000000000000000000000000000000000000000000000000000000001e00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000001f00000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000f00000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000f00000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000f00000 % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000f80000 % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000780000 % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000780000 % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000060006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000c006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000003c006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000003c006e % 000000000000000000000000000000000000000000000000000000000003c00000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000003e006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000001e006e % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000007800000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f800000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000f006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000f006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000f006e % 000000000000000000000000000000000000000000000000000000000001000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000f006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000f006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000f806e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000007806e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000007806e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000007806e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000007006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000003c06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000003c06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000003c06e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000003c06e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000003c06e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000003c06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000003c06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000003e06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000001e06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000e06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000001e06e % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000001e010 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000001f000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000f000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000f000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000f000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000f000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000f000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000f000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 00000000000000000000000000000000000000000000000000000000000f000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 00000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 000000000000000000000000000000000000000000000000000000000000000000000000000000 % 0000000000000000000000000000000000006e 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 % new font naming base_font_name 256 string cvs /base_font_name_string exch def base_font_name_string length 1 add string /extended_font_name exch def extended_font_name 0 (_) putinterval extended_font_name 1 base_font_name_string putinterval % end new font naming 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 %locate font correctly { f exch begin 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 gsave 2.83465 -2.83465 scale 0 -279.4 translate topmat currentmatrix pop % Text n savemat currentmatrix pop [1 0 0 1 7.809 49.379] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 7.809 49.379] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica04200420) getfont () s 0.00 0.00 0.00 setrgbcolor (fixation) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 5.919 99.435] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 5.919 99.435] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica04200420) getfont () s 0.00 0.00 0.00 setrgbcolor (stimulus) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 6.542 143.525] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 6.542 143.525] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica04200420) getfont () s 0.00 0.00 0.00 setrgbcolor (pointing) s savemat setmatrix % Text n savemat currentmatrix pop [1 0 0 1 4.212 152.488] concat 25.4 1440 div 1.000000 mul dup scale 0 0 m 0 0 m 0 ss (Helvetica04200420) getfont () s 0.00 0.00 0.00 setrgbcolor (response) s savemat setmatrix % Curves n 134.1 146.67 m 140.64 137.46 l 140.39 131.73 l 140.39 131.73 142.24 128.35 143.11 127.54 c 143.6 127.09 145.43 127.34 145.43 127.34 c 142.95 131.04 l 142.95 131.04 147.56 124.27 148.73 123.6 c 149.18 122.81 151.7 120.58 152.38 120.3 c 153.06 120.02 152.79 121.95 152.79 121.95 c 150.33 124.78 l 148.08 128.48 l 147.03 130.27 l 147.03 130.27 148.65 127.18 149.11 127.09 c 149.57 127 150.31 128.42 150.31 128.42 c 148.68 132.25 l 150.22 128.79 l 150.22 128.79 151.32 130.05 151.18 130.38 c 150.98 130.85 150.11 133.57 150.11 133.57 c 151.02 131.09 l 151.02 131.09 152.42 132.07 152.05 133.63 c 151.68 135.19 149.68 139.32 149.68 139.32 c 146.26 140.5 l 139.67 150.74 l 1 1 1 F % Curves n 134.1 146.67 m 140.64 137.46 l 140.39 131.73 l 140.39 131.73 142.24 128.35 143.11 127.54 c 143.6 127.09 145.43 127.34 145.43 127.34 c 142.95 131.04 l 142.95 131.04 147.56 124.27 148.73 123.6 c 149.18 122.81 151.7 120.58 152.38 120.3 c 153.06 120.02 152.79 121.95 152.79 121.95 c 150.33 124.78 l 148.08 128.48 l 147.03 130.27 l 147.03 130.27 148.65 127.18 149.11 127.09 c 149.57 127 150.31 128.42 150.31 128.42 c 148.68 132.25 l 150.22 128.79 l 150.22 128.79 151.32 130.05 151.18 130.38 c 150.98 130.85 150.11 133.57 150.11 133.57 c 151.02 131.09 l 151.02 131.09 152.42 132.07 152.05 133.63 c 151.68 135.19 149.68 139.32 149.68 139.32 c 146.26 140.5 l 139.67 150.74 l gsave 0 0 0 0.7056 0 B grestore % Group n 149.54 65.67 m 149.54 67.709 l 0.149 0.149 0.149 F n 149.54 65.67 m 149.54 67.709 l gsave 0 0 0 1.058 0 B grestore n 152.35 68.694 m 150.32 68.694 l 0.149 0.149 0.149 F n 152.35 68.694 m 150.32 68.694 l gsave 0 0 0 1.058 0 B grestore n 148.8 68.694 m 146.76 68.694 l 0.149 0.149 0.149 F n 148.8 68.694 m 146.76 68.694 l gsave 0 0 0 1.058 0 B grestore n 149.54 71.498 m 149.54 69.46 l 0.149 0.149 0.149 F n 149.54 71.498 m 149.54 69.46 l gsave 0 0 0 1.058 0 B grestore n 151.52 70.857 m 150.08 69.415 l 0.149 0.149 0.149 F n 151.52 70.857 m 150.08 69.415 l gsave 0 0 0 1.058 0 B grestore n 148.89 68.043 m 147.45 66.601 l 0.149 0.149 0.149 F n 148.89 68.043 m 147.45 66.601 l gsave 0 0 0 1.058 0 B grestore n 150.13 68.009 m 151.58 66.567 l 0.149 0.149 0.149 F n 150.13 68.009 m 151.58 66.567 l gsave 0 0 0 1.058 0 B grestore n 147.44 70.692 m 148.89 69.25 l 0.149 0.149 0.149 F n 147.44 70.692 m 148.89 69.25 l gsave 0 0 0 1.058 0 B grestore % Curves n 116.93 12.928 m 116.93 19.479 l 1 1 1 F % Curves n 120.28 16.126 m 113.63 16.119 l 1 1 1 F % Group n 117.59 13.344 m 117.59 19.895 l gsave 0 0 0 1.058 0 B grestore n 120.91 16.623 m 114.26 16.616 l gsave 0 0 0 1.058 0 B grestore % Curves n 58.606 178.51 m 55.519 131.53 96.61 110.81 117.55 110.81 c 138.49 110.81 176.72 119.06 181.88 177.17 c gsave [2 1 2 1] 0 setdash 0 0 0 0.7056 0 B grestore % Curves n 58.606 128.9 m 55.519 81.911 96.61 61.196 117.55 61.196 c 138.49 61.196 176.72 69.448 181.88 127.55 c gsave [2 1 2 1] 0 setdash 0 0 0 0.7056 0 B grestore % Curves n 58.606 84.332 m 55.519 37.346 96.61 16.632 117.55 16.632 c 138.49 16.632 176.72 24.884 181.88 82.985 c gsave [2 1 2 1] 0 setdash 0 0 0 0.7056 0 B grestore grestore end restore %%EndDocument endTexFig 224 1396 a Fk(Figure)12 b(1:)18 b(a\))11 b(Exp)q(erimen)o(tal)h (setup.)19 b(Sub)s(jects)12 b(are)f(seated)h(at)f(a)g(table)h(with)g (an)224 1457 y(Optotrak)17 b(infrared)h(mark)o(er)f(moun)o(ted)h(on)g (their)g(righ)o(t)g(index)h(\014nger,)f(whic)o(h)224 1518 y(w)o(as)13 b(used)h(to)g(record)f(the)h(p)q(oin)o(ting)h(resp)q (onses.)20 b(Visual)15 b(stim)o(uli)g(\(5)e(mm)g(white)224 1579 y(squares\))i(w)o(ere)g(pro)s(jected)g(on)o(to)g(a)g(screen)h(on)g (the)f(table)h(using)g(an)g(LCD)f(pro-)224 1640 y(jector.)k(Auditory)14 b(stim)o(uli)h(w)o(ere)e(presen)o(ted)h(using)g(a)g(small)g(sp)q(eak)o (er)g(\(300-500)224 1701 y(Hz,)23 b(75)e(dB)h(tone)f(at)g(20cm\))f (directly)j(b)q(elo)o(w)f(the)f(screen,)i(whose)f(p)q(osition)224 1763 y(w)o(as)15 b(con)o(trolled)i(b)o(y)f(a)f(stepp)q(er)i(motor.)j (b\))c(Exp)q(erimen)o(tal)h(paradigm.)22 b(T)l(rials)224 1824 y(started)17 b(with)h(\014xation)g(on)g(the)g(cross)f(straigh)o (t-ahead)g(\(0)1259 1807 y Fp(\016)1278 1824 y Fk(\).)28 b(The)18 b(cross)f(dis-)224 1885 y(app)q(eared)i(and)g(after)e(100)h (ms)g(either)h(a)f(visual,)i(auditory)l(,)f(or)f(sim)o(ultaneous)224 1946 y(visuo-auditory)i(stim)o(ulus)f(w)o(as)f(presen)o(ted)h(for)g (100)e(ms.)31 b(The)19 b(sub)s(ject)f(then)224 2007 y(p)q(oin)o(ted)e (to)f(the)g(p)q(erceiv)o(ed)i(stim)o(ulus)f(lo)q(cation.)p eop %%Page: 15 15 15 14 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(15)201 241 y 22749093 12966975 986726 1973452 38153420 23352524 startTexFig 201 241 a %%BeginDocument: varmix.ps %gr.pro prolog for graph plots from bruce's own graphics /G2PSbegin {newpath 0 0 moveto 12 setlinewidth 0 0 0 setrgbcolor 1 setlinecap 0 setlinejoin 2 setmiterlimit /imtx matrix currentmatrix def /dmtx matrix defaultmatrix def} def /len {dup mul exch dup mul add sqrt} def /dotpat {0 imtx dtransform len 0 idtransform len}def /solid {{}0}def /dotted {[0 dotpat 3 dotpat ] 0}def /fewdotted {[0 dotpat 6 dotpat ] 0} def /longdashed {[10 dotpat 4 dotpat] 0}def /shortdashed {[4 dotpat] 0}def /dashed {[6 dotpat] 0} def /dotdashed {[1 dotpat 6 dotpat 10 dotpat 6 dotpat] 0}def /none {[0 dotpat 10000 dotpat] 0} def /linestyle {solid} def /ratio 1 def /symbsiz 20 def % symbol size/radius /symbw 40 def /symbh 40 def /patternw 20 def /fillcolor {1 1 1} def % setrgbcolor value for symbol insides /linecolor {0 0 0} def % set color value for lines /nofill {} def /colorfill {fillcolor setrgbcolor fill} def /symbfil {colorfill} def % I think first true should be false, but little success /ifpath {pathbbox eq {eq {false} {true} ifelse} {pop pop true} ifelse} def /ifheight {pathbbox exch pop eq {pop false} {pop true} ifelse} def /crossfill { gsave 1.0 1.0 1.0 setrgbcolor fill grestore % wipe the inside clean clip currentpoint 0 patternw symbw {0 patternw symbh {patternw patternw rlineto patternw neg 0 rmoveto patternw patternw neg rlineto patternw neg patternw rmoveto pop} for patternw symbh patternw add patternw idiv patternw mul neg rmoveto pop} for stroke newpath moveto} def /plusfill { gsave 1.0 1.0 1.0 setrgbcolor fill grestore % wipe the inside clean clip currentpoint 0 patternw symbw {0 patternw symbh {patternw 0 rlineto patternw 2 div neg 0 rmoveto 0 patternw rlineto patternw 2 div neg 0 rmoveto pop} for patternw symbh patternw add patternw idiv patternw mul neg rmoveto pop} for stroke newpath moveto} def /txtpath 0 def % direction for strings in degrees /txtpos [0 0] def % positioning of strings relative to % current position /subpos [0 0] def /txtspace 1 def % space between letters in x direction /fontsiz 15 def % size of font /spacesiz 1 def % size for space character /foostr () def % draws a line between a pair of points /pairup {moveto lineto stroke} def /ifpairup {moveto lineto ifpath {stroke} if} def /dopairs { linecolor setrgbcolor {pairup} repeat} def % draws a line joining n points, where n is the last % number before doline is called /doline { linecolor setrgbcolor 3 1 roll moveto 1 sub {lineto} repeat stroke} def % fill area closes the path and fills the area /fillarea { linecolor setrgbcolor 3 1 roll moveto 1 sub {lineto} repeat gsave closepath symbfil grestore stroke} def % draws a circle radius symbsiz at current point /docircle { newpath linestyle setdash symbsiz 0 360 arc gsave closepath % define cirlce symbw neg symbh 2 div neg rmoveto symbfil % move to corner before filling grestore linecolor setrgbcolor stroke } def /ori 0 def /doellipse { dup neg /movy exch def exch dup neg /movx exch def exch translate ori rotate 1 ratio scale newpath linestyle setdash 0 0 symbsiz 0 360 arc gsave closepath % define cirlce symbw neg symbh 2 div neg rmoveto symbfil % move to corner before filling grestore linecolor setrgbcolor stroke 1 ratio 1 exch div scale ori neg rotate movx movy translate} def % dobar draws a vertical bar % y x basey => - /dobar {newpath dup 3 1 roll exch symbsiz sub exch moveto symbsiz 2 mul 0 rlineto sub dup /symbh exch def dup 0 exch rlineto symbsiz 2 mul neg 0 rlineto neg 0 exch rlineto ifheight {gsave closepath symbfil grestore} if ifheight {stroke} if} def % an array descibing the relative co-ordinates of a the % points in a non-circular symbol /symbary [10 10 -20 0 0 -20 20 0 0 20] def % draws a symbol desribed by an array on top of the stack /arydraw { /ard exch def currentpoint % save centre posn ard 0 get ard 1 get rmoveto % go to plotting point 2 2 ard length 1 sub % { dup 1 add ard exch get exch ard exch get rlineto } for gsave closepath moveto % return to centre symbw 2 div neg symbh 2 div neg rmoveto % bottom left corner ifpath {symbfil} if grestore ifpath {linecolor setrgbcolor stroke} if } def % plots symbol symbary at x,y on the stack /plotsymb {dupxy /movy exch neg def /movx exch neg def moveto ori rotate symbary arydraw ori neg rotate movx movy moveto} def % prints a string in direction txtpath, /sprnt {3 1 roll dup neg 4 1 roll exch dup neg 5 1 roll exch translate txtpath rotate puts txtpath neg rotate translate} def /puts {linecolor setrgbcolor dup dup stringwidth pop exch length txtspace mul add txtpos 0 get mul neg fontsiz txtpos 1 get mul neg moveto 0 0 8#040 txtspace 0 6 -1 roll awidthshow} def /showmark {docircle} def /dupxy {dup 3 2 roll dup 4 1 roll exch} def /nlin 0 def /offx 0 def /showkeyline {dupxy dupxy dupxy exch symbw nlin mul add exch ifpath {pairup} if pop pop} def /showkeysymb {dupxy exch offx add exch showmark} def /showkey {showkeyline /offx 0 def showkeysymb pop pop} def % stringmark puts a symbol within a string /stringmark {4 2 roll dup neg 5 1 roll exch dup neg 6 1 roll exch % make inverse co-ordinates translate txtpath rotate % move to string pos dup stringwidth pop exch length txtspace mul add % lengtt of first string exch dup stringwidth pop exch length txtspace mul add % length of full string txtpos 0 get mul sub symbsiz add % X pos for mark - sub was add before!! fontsiz txtpos 1 get 0.4 exch sub mul showkey txtpath neg rotate translate} def %set a default font /Times-Roman findfont fontsiz scalefont setfont /mainfont /Times-Roman def % substr places the string foostr inside another string % scaled down by factor subscale /subfont mainfont def /subscale 0.8 def /substr {/cpath txtpath def 4 2 roll dup neg 5 1 roll exch dup neg 6 1 roll exch % make inverse co-ordinates translate txtpath rotate % move to string pos dup stringwidth pop exch length txtspace mul add % lengtt of first string exch dup stringwidth pop exch length txtspace mul add % length of full string txtpos 0 get mul sub subpos 0 get foostr stringwidth pop mul add % X pos for mark fontsiz txtpos 1 get 0.4 exch sub subpos 1 get add mul % Ypos /txtpath 0 def /txtpos [0. 0.4] def subfont findfont fontsiz subscale mul scalefont setfont foostr sprnt /txtpath cpath def txtpath neg rotate translate mainfont findfont fontsiz scalefont setfont} def G2PSbegin 18 36 translate 0.034965 0.034965 scale 0 0 translate % Graph number 1 8030 205 translate 8 setlinewidth solid setdash /linestyle {solid} def /linecolor {0.0 0.0 0.0} def 1200 1040 7600 1040 1200 1040 1200 952 1840 1040 1840 952 2480 1040 2480 952 3120 1040 3120 952 3760 1040 3760 952 4400 1040 4400 952 5040 1040 5040 952 5679 1040 5679 952 6320 1040 6320 952 6959 1040 6959 952 7600 1040 7600 952 12 dopairs 1216 1253 1216 7653 1216 1253 1128 1253 1216 2533 1128 2533 1216 3813 1128 3813 1216 5093 1128 5093 1216 6373 1128 6373 1216 7653 1128 7653 7 dopairs % Data Set 1: 16 setlinewidth none setdash /linestyle {none} def 16 setlinewidth solid setdash /linestyle {solid} def /symbfil {colorfill} def /fillcolor {0.0 0.0 0.0} def /patternw 41 def /symbsiz 41 def /symbw 82 def /symbh 82 def /ori 0.00 def /showmark {docircle} def % Draw error Bars with solid line 7173 5646 7173 5110 7173 5110 7173 4575 7214 5646 7133 5646 7214 4575 7133 4575 7010 6270 7010 5643 7010 5643 7010 5015 7050 6270 6969 6270 7050 5015 6969 5015 6847 6314 6847 5848 6847 5848 6847 5381 6887 6314 6806 6314 6887 5381 6806 5381 6684 5297 6684 4657 6684 4657 6684 4016 6724 5297 6643 5297 6724 4016 6643 4016 6521 6549 6521 5999 6521 5999 6521 5448 6561 6549 6480 6549 6561 5448 6480 5448 6357 6695 6357 6252 6357 6252 6357 5809 6398 6695 6317 6695 6398 5809 6317 5809 6194 6065 6194 5430 6194 5430 6194 4794 6235 6065 6154 6065 6235 4794 6154 4794 6031 6566 6031 5897 6031 5897 6031 5227 6072 6566 5991 6566 6072 5227 5991 5227 5868 7054 5868 6592 5868 6592 5868 6129 5908 7054 5827 7054 5908 6129 5827 6129 5705 7130 5705 6877 5705 6877 5705 6624 5745 7130 5664 7130 5745 6624 5664 6624 5542 7026 5542 6623 5542 6623 5542 6220 5582 7026 5501 7026 5582 6220 5501 6220 5379 7363 5379 7229 5379 7229 5379 7094 5419 7363 5338 7363 5419 7094 5338 7094 5215 6807 5215 5951 5215 5951 5215 5095 5256 6807 5175 6807 5256 5095 5175 5095 5052 7155 5052 6844 5052 6844 5052 6532 5093 7155 5012 7155 5093 6532 5012 6532 4889 7023 4889 6762 4889 6762 4889 6502 4930 7023 4849 7023 4930 6502 4849 6502 4726 6713 4726 6229 4726 6229 4726 5746 4767 6713 4686 6713 4767 5746 4686 5746 4563 7242 4563 6984 4563 6984 4563 6725 4603 7242 4522 7242 4603 6725 4522 6725 4400 7237 4400 6842 4400 6842 4400 6447 4440 7237 4359 7237 4440 6447 4359 6447 4237 7369 4237 7104 4237 7104 4237 6839 4277 7369 4196 7369 4277 6839 4196 6839 4073 7461 4073 7317 4073 7317 4073 7173 4114 7461 4033 7461 4114 7173 4033 7173 3910 7371 3910 7249 3910 7249 3910 7128 3951 7371 3870 7371 3951 7128 3870 7128 3747 7427 3747 7320 3747 7320 3747 7214 3788 7427 3707 7427 3788 7214 3707 7214 3584 7438 3584 7277 3584 7277 3584 7117 3625 7438 3544 7438 3625 7117 3544 7117 3421 7450 3421 7317 3421 7317 3421 7184 3461 7450 3380 7450 3461 7184 3380 7184 3258 7345 3258 7192 3258 7192 3258 7038 3298 7345 3217 7345 3298 7038 3217 7038 3095 7315 3095 7182 101 dopairs 3095 7182 3095 7049 3135 7315 3054 7315 3135 7049 3054 7049 2932 7008 2932 6629 2932 6629 2932 6251 2972 7008 2891 7008 2972 6251 2891 6251 2768 6845 2768 6522 2768 6522 2768 6198 2809 6845 2728 6845 2809 6198 2728 6198 2605 7226 2605 6996 2605 6996 2605 6767 2646 7226 2565 7226 2646 6767 2565 6767 2442 7110 2442 6824 2442 6824 2442 6538 2483 7110 2402 7110 2483 6538 2402 6538 2279 6981 2279 6737 2279 6737 2279 6493 2319 6981 2238 6981 2319 6493 2238 6493 2116 7055 2116 6803 2116 6803 2116 6550 2156 7055 2075 7055 2156 6550 2075 6550 1953 6916 1953 6551 1953 6551 1953 6186 1993 6916 1912 6916 1993 6186 1912 6186 1790 6822 1790 6617 1790 6617 1790 6412 1830 6822 1749 6822 1830 6412 1749 6412 1626 6164 1626 5565 1626 5565 1626 4966 1667 6164 1586 6164 1667 4966 1586 4966 39 dopairs 16 setlinewidth none setdash /linestyle {none} def % Draw data line 16 setlinewidth solid setdash /linestyle {solid} def 7173 5110 7010 5643 6847 5848 6684 4657 6521 5999 6357 6252 6194 5430 6031 5897 5868 6592 5705 6877 5542 6623 5379 7229 5215 5951 5052 6844 4889 6762 4726 6229 4563 6984 4400 6842 4237 7104 4073 7317 3910 7249 3747 7320 3584 7277 3421 7317 3258 7192 3095 7182 2932 6629 2768 6522 2605 6996 2442 6824 2279 6737 2116 6803 1953 6551 1790 6617 1626 5565 35 {showmark} repeat % No data in this line 12 setlinewidth dotted setdash /linestyle {dotted} def /fillcolor {0.0 0.0 0.0} def /fillcolor {0.0 0.0 0.0} def newpath 1200 7653 7600 7653 2 doline /fontsiz 314 def /spacesiz 20 def /fontsiz 314 def /spacesiz 20 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtpath 90 def /txtspace 26 def /txtpos [0.50 0.00] def 282 4492 (Optimal Mixing Proportion) sprnt /txtpath 0 def /txtpos [0.50 0.50] def 4502 188 (Angle) sprnt /txtpos [0.00 0.00] def /fontsiz 256 def /spacesiz 17 def /fontsiz 256 def /spacesiz 17 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 21 def /txtpos [0.50 1.00] def 1200 872 (-75) sprnt 1840 872 (-60) sprnt 2480 872 (-45) sprnt 3120 872 (-30) sprnt 3760 872 (-15) sprnt 4400 872 (0) sprnt 5040 872 (15) sprnt 5679 872 (30) sprnt 6320 872 (45) sprnt 6959 872 (60) sprnt 7600 872 (75) sprnt /txtpos [1.00 0.35] def 1048 1253 (0.5) sprnt 1048 2533 (0.6) sprnt 1048 3813 (0.7) sprnt 1048 5093 (0.8) sprnt 1048 6373 (0.9) sprnt 1048 7653 (1.0) sprnt solid setdash % Graph number 2 -8030 -205 translate 8 setlinewidth solid setdash /linestyle {solid} def 1165 1216 7565 1216 1165 1216 1165 1128 1805 1216 1805 1128 2445 1216 2445 1128 3085 1216 3085 1128 3725 1216 3725 1128 4365 1216 4365 1128 5005 1216 5005 1128 5644 1216 5644 1128 6285 1216 6285 1128 6924 1216 6924 1128 7565 1216 7565 1128 12 dopairs 1040 1200 1040 7600 1040 1200 952 1200 1040 2266 952 2266 1040 3333 952 3333 1040 4400 952 4400 1040 5466 952 5466 1040 6533 952 6533 1040 7600 952 7600 8 dopairs % Data Set 1: 16 setlinewidth none setdash /linestyle {none} def 16 setlinewidth solid setdash /linestyle {solid} def /patternw 41 def /symbsiz 41 def /symbw 82 def /symbh 82 def /ori 0.00 def /showmark {docircle} def % Draw error Bars with solid line 7138 5723 7138 4949 7138 4949 7138 4175 6975 6452 6975 5322 6975 5322 6975 4191 6812 8237 6812 6886 6812 6886 6812 5535 6649 4443 6649 3936 6649 3936 6649 3429 6486 6626 6486 5393 6486 5393 6486 4159 6322 6550 6322 5308 6322 5308 6322 4067 6159 5122 6159 4251 6159 4251 6159 3380 5996 5536 5996 4676 5996 4676 5996 3816 5833 5991 5833 4672 5833 4672 5833 3353 5670 4845 5670 4251 5670 4251 5670 3656 5507 6624 5507 5495 5507 5495 5507 4366 5344 5835 5344 4920 5344 4920 5344 4005 5180 4375 5180 3731 5180 3731 5180 3087 5017 3692 5017 3223 5017 3223 5017 2754 4854 2471 4854 2319 4854 2319 4854 2166 4691 2015 4691 1866 4691 1866 4691 1717 4528 1762 4528 1622 4528 1622 4528 1482 4365 1612 4365 1508 4365 1508 4365 1404 4202 1989 4202 1803 4202 1803 4202 1617 4038 2844 4038 2436 4038 2436 4038 2028 3875 3205 3875 2838 3875 2838 3875 2470 3712 3387 3712 2997 3712 2997 3712 2607 3549 6526 3549 5522 3549 5522 3549 4517 3386 7114 3386 5821 3386 5821 3386 4529 3223 6714 3223 5696 3223 5696 3223 4677 3060 7076 3060 5953 3060 5953 3060 4830 2897 5797 2897 5211 2897 5211 2897 4624 2733 4378 2733 3921 2733 3921 2733 3464 2570 6662 2570 5396 2570 5396 2570 4129 2407 6254 2407 5232 2407 5232 2407 4209 2244 6256 2244 5432 2244 5432 2244 4609 2081 6196 2081 5369 2081 5369 2081 4541 1918 5598 1918 4587 1918 4587 1918 3575 1755 5755 1755 5234 1755 5234 1755 4713 1591 5642 1591 4870 1591 4870 1591 4097 70 dopairs 16 setlinewidth none setdash /linestyle {none} def % Draw data line 16 setlinewidth solid setdash /linestyle {solid} def 7138 4949 6975 5322 6812 6886 6649 3936 6486 5393 6322 5308 6159 4251 5996 4676 5833 4672 5670 4251 5507 5495 5344 4920 5180 3731 5017 3223 4854 2319 4691 1866 4528 1622 4365 1508 4202 1803 4038 2436 3875 2838 3712 2997 3549 5522 3386 5821 3223 5696 3060 5953 2897 5211 2733 3921 2570 5396 2407 5232 2244 5432 2081 5369 1918 4587 1755 5234 1591 4870 35 {showmark} repeat % Data Set 2: 16 setlinewidth none setdash /linestyle {none} def 16 setlinewidth solid setdash /linestyle {solid} def /fillcolor {1.0 1.0 1.0} def /patternw 41 def /symbsiz 41 def /symbw 82 def /symbh 82 def /ori 0.00 def /showmark {plotsymb} def /symbary [41 41 -82 0 0 -82 82 0 0 82] def % Square % Draw error Bars with solid line 7138 2286 7138 2129 7138 2129 7138 1972 6975 2170 6975 1968 6975 1968 6975 1765 6812 2313 6812 2133 6812 2133 6812 1954 6649 2212 6649 2036 6649 2036 6649 1860 6486 1979 6486 1822 6486 1822 6486 1665 6322 1795 6322 1705 6322 1705 6322 1614 6159 1967 6159 1841 6159 1841 6159 1716 5996 1955 5996 1752 5996 1752 5996 1550 5833 1605 5833 1514 5833 1514 5833 1422 5670 1453 5670 1397 5670 1397 5670 1340 5507 1701 5507 1576 5507 1576 5507 1450 5344 1354 5344 1327 5344 1327 5344 1301 5180 1790 5180 1588 5180 1588 5180 1385 5017 1383 5017 1336 5017 1336 5017 1290 4854 1307 4854 1283 4854 1283 4854 1260 4691 1309 4691 1283 4691 1283 4691 1257 4528 1229 4528 1223 4528 1223 4528 1218 4365 1229 4365 1221 4365 1221 4365 1212 4202 1238 4202 1227 4202 1227 4202 1216 4038 1242 4038 1233 4038 1233 4038 1224 3875 1265 3875 1253 3875 1253 3875 1242 3712 1260 3712 1248 3712 1248 3712 1236 3549 1380 3549 1330 3549 1330 3549 1281 3386 1362 3386 1324 3386 1324 3386 1287 3223 1411 3223 1368 3223 1368 3223 1324 3060 1414 3060 1381 3060 1381 3060 1349 2897 1679 2897 1548 2897 1548 2897 1417 2733 1533 2733 1464 2733 1464 2733 1394 2570 1476 2570 1427 2570 1427 2570 1378 2407 1556 2407 1479 2407 1479 2407 1401 2244 1595 2244 1526 2244 1526 2244 1457 2081 1570 2081 1496 2081 1496 2081 1423 1918 1586 1918 1519 1918 1519 1918 1452 1755 1616 1755 1555 1755 1555 1755 1494 1591 2107 1591 1915 1591 1915 1591 1723 70 dopairs 16 setlinewidth none setdash /linestyle {none} def % Draw data line 16 setlinewidth solid setdash /linestyle {solid} def 7138 2129 6975 1968 6812 2133 6649 2036 6486 1822 6322 1705 6159 1841 5996 1752 5833 1514 5670 1397 5507 1576 5344 1327 5180 1588 5017 1336 4854 1283 4691 1283 4528 1223 4365 1221 4202 1227 4038 1233 3875 1253 3712 1248 3549 1330 3386 1324 3223 1368 3060 1381 2897 1548 2733 1464 2570 1427 2407 1479 2244 1526 2081 1496 1918 1519 1755 1555 1591 1915 35 {showmark} repeat % Data Set 3: 16 setlinewidth none setdash /linestyle {none} def 16 setlinewidth solid setdash /linestyle {solid} def /symbfil {colorfill} def /fillcolor {0.5 0.5 0.5} def /patternw 41 def /symbsiz 41 def /symbw 82 def /symbh 82 def /ori 0.00 def /showmark {plotsymb} def /symbary [0 54 -82 -41 0 82 82 -41] def % Triangle % Draw error Bars with solid line 7138 1956 7138 1838 7138 1838 7138 1721 6975 2076 6975 1964 6975 1964 6975 1852 6812 2040 6812 1892 6812 1892 6812 1744 6649 2134 6649 1950 6649 1950 6649 1766 6486 1838 6486 1750 6486 1750 6486 1663 6322 1919 6322 1815 6322 1815 6322 1711 6159 1802 6159 1678 6159 1678 6159 1553 5996 1868 5996 1721 5996 1721 5996 1574 5833 1794 5833 1696 5833 1696 5833 1598 5670 1632 5670 1556 5670 1556 5670 1480 5507 1420 5507 1376 5507 1376 5507 1332 5344 1381 5344 1351 5344 1351 5344 1322 5180 1434 5180 1389 5180 1389 5180 1344 5017 1375 5017 1331 5017 1331 5017 1286 4854 1308 4854 1288 4854 1288 4854 1268 4691 1257 4691 1246 4691 1246 4691 1235 4528 1250 4528 1240 4528 1240 4528 1230 4365 1237 4365 1230 4365 1230 4365 1224 4202 1257 4202 1240 4202 1240 4202 1224 4038 1260 4038 1246 4038 1246 4038 1233 3875 1267 3875 1250 3875 1250 3875 1232 3712 1253 3712 1243 3712 1243 3712 1234 3549 1314 3549 1292 3549 1292 3549 1271 3386 1302 3386 1287 3386 1287 3386 1272 3223 1485 3223 1411 3223 1411 3223 1338 3060 1320 3060 1299 3060 1299 3060 1278 2897 1450 2897 1415 2897 1415 2897 1379 2733 1489 2733 1429 2733 1429 2733 1370 2570 1547 2570 1478 2570 1478 2570 1408 2407 1629 2407 1536 2407 1536 2407 1443 2244 1530 2244 1480 2244 1480 2244 1431 2081 1566 2081 1494 2081 1494 2081 1422 1918 1818 1918 1693 1918 1693 1918 1569 1755 1996 1755 1847 1755 1847 1755 1699 1591 2184 1591 1966 1591 1966 1591 1748 70 dopairs 16 setlinewidth none setdash /linestyle {none} def % Draw data line 16 setlinewidth solid setdash /linestyle {solid} def /fillcolor {0.5 0.5 0.5} def 7138 1838 6975 1964 6812 1892 6649 1950 6486 1750 6322 1815 6159 1678 5996 1721 5833 1696 5670 1556 5507 1376 5344 1351 5180 1389 5017 1331 4854 1288 4691 1246 4528 1240 4365 1230 4202 1240 4038 1246 3875 1250 3712 1243 3549 1292 3386 1287 3223 1411 3060 1299 2897 1415 2733 1429 2570 1478 2407 1536 2244 1480 2081 1494 1918 1693 1755 1847 1591 1966 35 {showmark} repeat % No data in this line /fontsiz 314 def /spacesiz 20 def /fontsiz 314 def /spacesiz 20 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtpath 90 def /txtspace 26 def /txtpos [0.50 0.00] def 323 4611 (Variance) sprnt /txtpath 0 def /txtpos [0.50 0.50] def 4467 347 (Angle) sprnt /txtpos [0.00 0.00] def /fontsiz 256 def /spacesiz 17 def /fontsiz 256 def /spacesiz 17 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 21 def /txtpos [0.50 1.00] def 1165 1048 (-75) sprnt 1805 1048 (-60) sprnt 2445 1048 (-45) sprnt 3085 1048 (-30) sprnt 3725 1048 (-15) sprnt 4365 1048 (0) sprnt 5005 1048 (15) sprnt 5644 1048 (30) sprnt 6285 1048 (45) sprnt 6924 1048 (60) sprnt 7565 1048 (75) sprnt /txtpos [1.00 0.35] def 872 1200 (0) sprnt 872 2266 (20) sprnt 872 3333 (40) sprnt 872 4400 (60) sprnt 872 5466 (80) sprnt 872 6533 (100) sprnt 872 7600 (120) sprnt /fontsiz 514 def /spacesiz 34 def /fontsiz 514 def /spacesiz 34 def /mainfont /Times-Roman def mainfont findfont fontsiz scalefont setfont /txtspace 42 def /txtpos [0.50 0.00] def 528 8442 (a\)) sprnt 8588 8483 (b\)) sprnt 0 0 translate 0 0 translate 28.600028 28.600028 scale -18 -36 translate showpage %%EndDocument endTexFig 224 1165 a Fk(Figure)16 b(2:)k(a\))15 b(V)l(ariance)i(of)e(lo)q (calization)i(as)e(a)h(function)g(of)f(angle)h(of)g(azim)o(uth)224 1226 y(for)h(the)h(three)g(t)o(yp)q(es)g(of)f(stim)o(uli:)27 b(visual)19 b(\(white)f(squares\),)f(auditory)h(\(\014lled)224 1287 y(circles\),)k(visuo-auditory)e(\(\014lled)i(triangles\).)34 b(b\))19 b(Optimal)i(mixing)g(w)o(eigh)o(ts)224 1348 y(as)15 b(a)f(function)i(of)f(azim)o(uth)g(for)f(vision,)i(as)f (predicted)h(b)o(y)f(minim)o(um)h(v)m(ariance)224 1409 y(in)o(tegration.)k(Note)15 b(that)f(vision)j(dominates)e(the)g(most)g (straigh)o(t-ahead.)p 224 1470 1394 3 v 295 1599 a(T)l(o)e(in)o(v)o (estigate)h(the)f(pattern)g(of)g(adaptation)g(arising)h(from)f(a)g (discrepancy)224 1660 y(b)q(et)o(w)o(een)i(the)f(visual)i(and)f (auditory)f(senses,)h(w)o(e)f(imp)q(osed)i(a)e(constan)o(t)f(spatial) 224 1721 y(shift)k(of)f(15)427 1705 y Fp(\016)463 1721 y Fk(b)q(et)o(w)o(een)h(the)g(visual)h(and)f(auditory)f(stim)o(uli)i (during)g(V)-5 b(A)17 b(trials.)224 1783 y(Only)i(one)g(third)f(of)g (the)g(trials)h(w)o(ere)e(V)-5 b(A;)18 b(the)g(V)h(and)f(A)g(trials)h (throughout)224 1844 y(the)c(exp)q(erimen)o(t)h(could)g(therefore)f(b)q (e)g(used)h(to)e(assess)h(adaptation.)k(Whereas)224 1905 y(p)q(oin)o(ting)g(in)f(visual-alone)h(trials)f(did)g(not)f(shift)h (signi\014can)o(tly)h(as)e(a)g(result)h(of)224 1966 y(the)11 b(p)q(erturbation,)h(p)q(oin)o(ting)g(in)f(auditory-alone)h(trials)f (shifted)g(b)o(y)g(ab)q(out)g(40\045)224 2027 y(in)16 b(the)g(direction)h(of)e(the)g(displacemen)o(t)i(\(Figure)f(3\).)k (This)c(suggests)f(that,)f(as)224 2088 y(predicted)k(b)o(y)f(b)q(oth)g (the)g(minim)o(um)h(v)m(ariance)g(and)f(comp)q(etitiv)o(e)h(in)o (tegration)224 2149 y(mo)q(dels,)e(the)g(more)f(reliable)i(sense)f (\(vision\))g(acts)f(as)g(the)g(teac)o(hing)h(signal)g(for)224 2211 y(the)22 b(less)g(reliable)i(one)e(\(audition\).)40 b(The)22 b(minim)o(um)h(v)m(ariance)g(in)o(tegration)224 2272 y(mo)q(del)18 b(predicts)g(that)e(vision)i(should)g(also)f(adapt)g (in)h(the)f(direction)h(of)f(audi-)224 2333 y(tion.)29 b(Ho)o(w)o(ev)o(er,)17 b(the)i(amoun)o(t)e(of)g(this)i(predicted)g (adaptation|ab)q(out)g(10\045)p eop %%Page: 16 16 16 15 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(16)201 241 y 22749093 12284505 1315635 2039234 37824512 22036889 startTexFig 201 241 a %%BeginDocument: adapt.ps %gr.pro prolog for graph plots from bruce's own graphics /G2PSbegin {newpath 0 0 moveto 12 setlinewidth 0 0 0 setrgbcolor 1 setlinecap 0 setlinejoin 2 setmiterlimit /imtx matrix currentmatrix def /dmtx matrix defaultmatrix def} def /len {dup mul exch dup mul add sqrt} def /dotpat {0 imtx dtransform len 0 idtransform len}def /solid {{}0}def /dotted {[0 dotpat 3 dotpat ] 0}def /fewdotted {[0 dotpat 6 dotpat ] 0} def /longdashed {[10 dotpat 4 dotpat] 0}def /shortdashed {[4 dotpat] 0}def /dashed {[6 dotpat] 0} def /dotdashed {[1 dotpat 6 dotpat 10 dotpat 6 dotpat] 0}def /none {[0 dotpat 10000 dotpat] 0} def /linestyle {solid} def /ratio 1 def /symbsiz 20 def % symbol size/radius /symbw 40 def /symbh 40 def /patternw 20 def /fillcolor {1 1 1} def % setrgbcolor value for symbol insides /linecolor {0 0 0} def % set color value for lines /nofill {} def /colorfill {fillcolor setrgbcolor fill} def /symbfil {colorfill} def % I think first true should be false, but little success /ifpath {pathbbox eq {eq {false} {true} ifelse} {pop pop true} ifelse} def /ifheight {pathbbox exch pop eq {pop false} {pop true} ifelse} def /crossfill { gsave 1.0 1.0 1.0 setrgbcolor fill grestore % wipe the inside clean clip currentpoint 0 patternw symbw {0 patternw symbh {patternw patternw rlineto patternw neg 0 rmoveto patternw patternw neg rlineto patternw neg patternw rmoveto pop} for patternw symbh patternw add patternw idiv patternw mul neg rmoveto pop} for stroke newpath moveto} def /plusfill { gsave 1.0 1.0 1.0 setrgbcolor fill grestore % wipe the inside clean clip currentpoint 0 patternw symbw {0 patternw symbh {patternw 0 rlineto patternw 2 div neg 0 rmoveto 0 patternw rlineto patternw 2 div neg 0 rmoveto pop} for patternw symbh patternw add patternw idiv patternw mul neg rmoveto pop} for stroke newpath moveto} def /txtpath 0 def % direction for strings in degrees /txtpos [0 0] def % positioning of strings relative to % current position /subpos [0 0] def /txtspace 1 def % space between letters in x direction /fontsiz 15 def % size of font /spacesiz 1 def % size for space character /foostr () def % draws a line between a pair of points /pairup {moveto lineto stroke} def /ifpairup {moveto lineto ifpath {stroke} if} def /dopairs { linecolor setrgbcolor {pairup} repeat} def % draws a line joining n points, where n is the last % number before doline is called /doline { linecolor setrgbcolor 3 1 roll moveto 1 sub {lineto} repeat stroke} def % fill area closes the path and fills the area /fillarea { linecolor setrgbcolor 3 1 roll moveto 1 sub {lineto} repeat gsave closepath symbfil grestore stroke} def % draws a circle radius symbsiz at current point /docircle { newpath linestyle setdash symbsiz 0 360 arc gsave closepath % define cirlce symbw neg symbh 2 div neg rmoveto symbfil % move to corner before filling grestore linecolor setrgbcolor stroke } def /ori 0 def /doellipse { dup neg /movy exch def exch dup neg /movx exch def exch translate ori rotate 1 ratio scale newpath linestyle setdash 0 0 symbsiz 0 360 arc gsave closepath % define cirlce symbw neg symbh 2 div neg rmoveto symbfil % move to corner before filling grestore linecolor setrgbcolor stroke 1 ratio 1 exch div scale ori neg rotate movx movy translate} def % dobar draws a vertical bar % y x basey => - /dobar {newpath dup 3 1 roll exch symbsiz sub exch moveto symbsiz 2 mul 0 rlineto sub dup /symbh exch def dup 0 exch rlineto symbsiz 2 mul neg 0 rlineto neg 0 exch rlineto ifheight {gsave closepath symbfil grestore} if ifheight {stroke} if} def % an array descibing the relative co-ordinates of a the % points in a non-circular symbol /symbary [10 10 -20 0 0 -20 20 0 0 20] def % draws a symbol desribed by an array on top of the stack /arydraw { /ard exch def currentpoint % save centre posn ard 0 get ard 1 get rmoveto % go to plotting point 2 2 ard length 1 sub % { dup 1 add ard exch get exch ard exch get rlineto } for gsave closepath moveto % return to centre symbw 2 div neg symbh 2 div neg rmoveto % bottom left corner ifpath {symbfil} if grestore ifpath {linecolor setrgbcolor stroke} if } def % plots symbol symbary at x,y on the stack /plotsymb {dupxy /movy exch neg def /movx exch neg def moveto ori rotate symbary arydraw ori neg rotate movx movy moveto} def % prints a string in direction txtpath, /sprnt {3 1 roll dup neg 4 1 roll exch dup neg 5 1 roll exch translate txtpath rotate puts txtpath neg rotate translate} def /puts {linecolor setrgbcolor dup dup stringwidth pop exch length txtspace mul add txtpos 0 get mul neg fontsiz txtpos 1 get mul neg moveto 0 0 8#040 txtspace 0 6 -1 roll awidthshow} def /showmark {docircle} def /dupxy {dup 3 2 roll dup 4 1 roll exch} def /nlin 0 def /offx 0 def /showkeyline {dupxy dupxy dupxy exch symbw nlin mul add exch ifpath {pairup} if pop pop} def /showkeysymb {dupxy exch offx add exch showmark} def /showkey {showkeyline /offx 0 def showkeysymb pop pop} def % stringmark puts a symbol within a string /stringmark {4 2 roll dup neg 5 1 roll exch dup neg 6 1 roll exch % make inverse co-ordinates translate txtpath rotate % move to string pos dup stringwidth pop exch length txtspace mul add % lengtt of first string exch dup stringwidth pop exch length txtspace mul add % length of full string txtpos 0 get mul sub symbsiz add % X pos for mark - sub was add before!! fontsiz txtpos 1 get 0.4 exch sub mul showkey txtpath neg rotate translate} def %set a default font /Times-Roman findfont fontsiz scalefont setfont /mainfont /Times-Roman def % substr places the string foostr inside another string % scaled down by factor subscale /subfont mainfont def /subscale 0.8 def /substr {/cpath txtpath def 4 2 roll dup neg 5 1 roll exch dup neg 6 1 roll exch % make inverse co-ordinates translate txtpath rotate % move to string pos dup stringwidth pop exch length txtspace mul add % lengtt of first string exch dup stringwidth pop exch length txtspace mul add % length of full string txtpos 0 get mul sub subpos 0 get foostr stringwidth pop mul add % X pos for mark fontsiz txtpos 1 get 0.4 exch sub subpos 1 get add mul % Ypos /txtpath 0 def /txtpos [0. 0.4] def subfont findfont fontsiz subscale mul scalefont setfont foostr sprnt /txtpath cpath def txtpath neg rotate translate mainfont findfont fontsiz scalefont setfont} def G2PSbegin 18 36 translate 0.034965 0.034965 scale 0 0 translate % Graph number 1 7824 0 translate 8 setlinewidth solid setdash /linestyle {solid} def /linecolor {0.0 0.0 0.0} def 1200 1040 7600 1040 1200 1040 1200 952 1733 1040 1733 952 2266 1040 2266 952 2800 1040 2800 952 3333 1040 3333 952 3866 1040 3866 952 4400 1040 4400 952 4933 1040 4933 952 5466 1040 5466 952 6000 1040 6000 952 6533 1040 6533 952 7066 1040 7066 952 7600 1040 7600 952 14 dopairs 1040 1200 1040 7600 1040 1200 952 1200 1040 2266 952 2266 1040 3333 952 3333 1040 4400 952 4400 1040 5466 952 5466 1040 6533 952 6533 1040 7600 952 7600 8 dopairs % Data Set 1: 16 setlinewidth dotted setdash /linestyle {dotted} def 16 setlinewidth solid setdash /linestyle {solid} def /symbfil {colorfill} def /fillcolor {0.0 0.0 0.0} def /patternw 80 def /symbsiz 80 def /symbw 160 def /symbh 160 def /ori 0.00 def /showmark {docircle} def % Draw error Bars with solid line 1466 4097 1466 4449 1466 4449 1466 4801 1546 4097 1386 4097 1546 4801 1386 4801 1985 3923 1985 4327 1985 4327 1985 4731 2065 3923 1905 3923 2065 4731 1905 4731 2533 3102 2533 3505 2533 3505 2533 3908 2613 3102 2453 3102 2613 3908 2453 3908 3066 4240 3066 4664 3066 4664 3066 5089 3146 4240 2986 4240 3146 5089 2986 5089 3600 6103 3600 6452 3600 6452 3600 6802 3680 6103 3520 6103 3680 6802 3520 6802 4133 5496 4133 5818 4133 5818 4133 6140 4213 5496 4053 5496 4213 6140 4053 6140 4666 5787 4666 6172 4666 6172 4666 6558 4746 5787 4586 5787 4746 6558 4586 6558 5200 5685 5200 6061 5200 6061 5200 6438 5280 5685 5120 5685 5280 6438 5120 6438 5733 6600 5733 6933 5733 6933 5733 7267 5813 6600 5653 6600 5813 7267 5653 7267 6266 6554 6266 6862 6266 6862 6266 7170 6346 6554 6186 6554 6346 7170 6186 7170 6800 5949 6800 6383 6800 6383 6800 6817 6880 5949 6720 5949 6880 6817 6720 6817 7333 6395 7333 6809 7333 6809 7333 7223 7413 6395 7253 6395 7413 7223 7253 7223 48 dopairs 16 setlinewidth dotted setdash /linestyle {dotted} def % Draw data line newpath 1466 4449 1985 4327 2533 3505 3066 4664 3600 6452 4133 5818 4666 6172 5200 6061 5733 6933 6266 6862 6800 6383 7333 6809 12 doline 16 setlinewidth solid setdash /linestyle {solid} def 1466 4449 1985 4327 2533 3505 3066 4664 3600 6452 4133 5818 4666 6172 5200 6061 5733 6933 6266 6862 6800 6383 7333 6809 12 {showmark} repeat % Data Set 2: 16 setlinewidth dashed setdash /linestyle {dashed} def 16 setlinewidth solid setdash /linestyle {solid} def /fillcolor {0.0 0.0 0.0} def /symbfil {nofill} def /patternw 80 def /symbsiz 80 def /symbw 160 def /symbh 160 def /ori 0.00 def /showmark {docircle} def % Draw error Bars with solid line 1466 3756 1466 4168 1466 4168 1466 4580 1546 3756 1386 3756 1546 4580 1386 4580 2000 3057 2000 3412 2000 3412 2000 3768 2080 3057 1920 3057 2080 3768 1920 3768 2533 3696 2533 4100 2533 4100 2533 4505 2613 3696 2453 3696 2613 4505 2453 4505 3066 3646 3066 4053 3066 4053 3066 4459 3146 3646 2986 3646 3146 4459 2986 4459 3600 1908 3600 2256 3600 2256 3600 2605 3680 1908 3520 1908 3680 2605 3520 2605 4133 2396 4133 2765 4133 2765 4133 3134 4213 2396 4053 2396 4213 3134 4053 3134 4666 1715 4666 2098 4666 2098 4666 2482 4746 1715 4586 1715 4746 2482 4586 2482 5200 1627 5200 1973 5200 1973 5200 2318 5280 1627 5120 1627 5280 2318 5120 2318 5733 1165 5733 1521 5733 1521 5733 1877 5813 1165 5653 1165 5813 1877 5653 1877 6266 1700 6266 2054 6266 2054 6266 2408 6346 1700 6186 1700 6346 2408 6186 2408 6800 1786 6800 2210 6800 2210 6800 2634 6880 1786 6720 1786 6880 2634 6720 2634 7333 2967 7333 3300 7333 3300 7333 3632 7413 2967 7253 2967 7413 3632 7253 3632 48 dopairs 16 setlinewidth dashed setdash /linestyle {dashed} def % Draw data line newpath 1466 4168 2000 3412 2533 4100 3066 4053 3600 2256 4133 2765 4666 2098 5200 1973 5733 1521 6266 2054 6800 2210 7333 3300 12 doline 16 setlinewidth solid setdash /linestyle {solid} def 1466 4168 2000 3412 2533 4100 3066 4053 3600 2256 4133 2765 4666 2098 5200 1973 5733 1521 6266 2054 6800 2210 7333 3300 12 {showmark} repeat 12 setlinewidth dashed setdash /linestyle {dashed} def /symbfil {colorfill} def /fillcolor {0.0 0.0 0.0} def /fillcolor {0.0 0.0 0.0} def newpath 1200 3987 7600 3987 2 doline /fontsiz 314 def /spacesiz 20 def /fontsiz 314 def /spacesiz 20 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtpath 90 def /txtspace 26 def /txtpos [0.50 0.00] def 389 4604 (Auditory Bias) sprnt /txtpath 0 def /txtpos [0.50 0.50] def 4449 382 (Trial) sprnt /txtpos [0.00 0.00] def /fontsiz 256 def /spacesiz 17 def /fontsiz 256 def /spacesiz 17 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 21 def /txtpos [0.50 1.00] def 1200 872 (0) sprnt 2266 872 (70) sprnt 3333 872 (140) sprnt 4400 872 (210) sprnt 5466 872 (280) sprnt 6533 872 (350) sprnt 7600 872 (420) sprnt /txtpos [1.00 0.35] def 872 1200 (-12) sprnt 872 2266 (-9) sprnt 872 3333 (-6) sprnt 872 4400 (-3) sprnt 872 5466 (0) sprnt 872 6533 (3) sprnt 872 7600 (6) sprnt solid setdash /fontsiz 514 def /spacesiz 34 def /fontsiz 514 def /spacesiz 34 def /mainfont /Times-Roman def mainfont findfont fontsiz scalefont setfont /txtspace 42 def /txtpos [0.50 1.00] def 567 8600 (b\)) sprnt % Graph number 2 -7824 0 translate 8 setlinewidth solid setdash /linestyle {solid} def 1200 1040 7600 1040 1200 1040 1200 952 1733 1040 1733 952 2266 1040 2266 952 2800 1040 2800 952 3333 1040 3333 952 3866 1040 3866 952 4400 1040 4400 952 4933 1040 4933 952 5466 1040 5466 952 6000 1040 6000 952 6533 1040 6533 952 7066 1040 7066 952 7600 1040 7600 952 14 dopairs 1040 1200 1040 7600 1040 1200 952 1200 1040 2266 952 2266 1040 3333 952 3333 1040 4400 952 4400 1040 5466 952 5466 1040 6533 952 6533 1040 7600 952 7600 8 dopairs % Data Set 1: 16 setlinewidth dotted setdash /linestyle {dotted} def 16 setlinewidth solid setdash /linestyle {solid} def /patternw 80 def /symbsiz 80 def /symbw 160 def /symbh 160 def /ori 0.00 def /showmark {docircle} def % Draw error Bars with solid line 1451 4199 1451 4442 1451 4442 1451 4685 1531 4199 1371 4199 1531 4685 1371 4685 2000 4664 2000 4904 2000 4904 2000 5144 2080 4664 1920 4664 2080 5144 1920 5144 2503 4976 2503 5182 2503 5182 2503 5388 2583 4976 2423 4976 2583 5388 2423 5388 3066 4433 3066 4691 3066 4691 3066 4950 3146 4433 2986 4433 3146 4950 2986 4950 3600 4573 3600 4826 3600 4826 3600 5078 3680 4573 3520 4573 3680 5078 3520 5078 4133 4965 4133 5194 4133 5194 4133 5422 4213 4965 4053 4965 4213 5422 4053 5422 4651 4827 4651 5070 4651 5070 4651 5313 4731 4827 4571 4827 4731 5313 4571 5313 5200 4308 5200 4605 5200 4605 5200 4901 5280 4308 5120 4308 5280 4901 5120 4901 5733 4236 5733 4496 5733 4496 5733 4756 5813 4236 5653 4236 5813 4756 5653 4756 6236 3931 6236 4267 6236 4267 6236 4603 6316 3931 6156 3931 6316 4603 6156 4603 6800 4896 6800 5144 6800 5144 6800 5392 6880 4896 6720 4896 6880 5392 6720 5392 7333 3809 7333 4108 7333 4108 7333 4407 7413 3809 7253 3809 7413 4407 7253 4407 48 dopairs 16 setlinewidth dotted setdash /linestyle {dotted} def % Draw data line newpath 1451 4442 2000 4904 2503 5182 3066 4691 3600 4826 4133 5194 4651 5070 5200 4605 5733 4496 6236 4267 6800 5144 7333 4108 12 doline 16 setlinewidth solid setdash /linestyle {solid} def 1451 4442 2000 4904 2503 5182 3066 4691 3600 4826 4133 5194 4651 5070 5200 4605 5733 4496 6236 4267 6800 5144 7333 4108 12 {showmark} repeat % Data Set 2: 16 setlinewidth dashed setdash /linestyle {dashed} def 16 setlinewidth solid setdash /linestyle {solid} def /fillcolor {0.0 0.0 0.0} def /symbfil {nofill} def /patternw 80 def /symbsiz 80 def /symbw 160 def /symbh 160 def /ori 0.00 def /showmark {docircle} def % Draw error Bars with solid line 1466 4756 1466 4926 1466 4926 1466 5097 1546 4756 1386 4756 1546 5097 1386 5097 2000 4916 2000 5073 2000 5073 2000 5230 2080 4916 1920 4916 2080 5230 1920 5230 2533 4426 2533 4616 2533 4616 2533 4805 2613 4426 2453 4426 2613 4805 2453 4805 3066 4662 3066 4859 3066 4859 3066 5055 3146 4662 2986 4662 3146 5055 2986 5055 3600 4809 3600 5016 3600 5016 3600 5223 3680 4809 3520 4809 3680 5223 3520 5223 4133 4589 4133 4793 4133 4793 4133 4996 4213 4589 4053 4589 4213 4996 4053 4996 4666 4600 4666 4816 4666 4816 4666 5032 4746 4600 4586 4600 4746 5032 4586 5032 5185 4235 5185 4477 5185 4477 5185 4720 5265 4235 5105 4235 5265 4720 5105 4720 5733 4336 5733 4570 5733 4570 5733 4803 5813 4336 5653 4336 5813 4803 5653 4803 6266 4817 6266 5061 6266 5061 6266 5306 6346 4817 6186 4817 6346 5306 6186 5306 6800 4589 6800 4820 6800 4820 6800 5050 6880 4589 6720 4589 6880 5050 6720 5050 7318 4200 7318 4448 7318 4448 7318 4696 7398 4200 7238 4200 7398 4696 7238 4696 48 dopairs 16 setlinewidth dashed setdash /linestyle {dashed} def % Draw data line newpath 1466 4926 2000 5073 2533 4616 3066 4859 3600 5016 4133 4793 4666 4816 5185 4477 5733 4570 6266 5061 6800 4820 7318 4448 12 doline 16 setlinewidth solid setdash /linestyle {solid} def 1466 4926 2000 5073 2533 4616 3066 4859 3600 5016 4133 4793 4666 4816 5185 4477 5733 4570 6266 5061 6800 4820 7318 4448 12 {showmark} repeat 12 setlinewidth dashed setdash /linestyle {dashed} def /symbfil {colorfill} def /fillcolor {0.0 0.0 0.0} def /fillcolor {0.0 0.0 0.0} def newpath 1200 4866 7600 4866 2 doline /fontsiz 314 def /spacesiz 20 def /fontsiz 314 def /spacesiz 20 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtpath 90 def /txtspace 26 def /txtpos [0.50 0.00] def 355 4323 (Visual Bias) sprnt /txtpath 0 def /txtpos [0.50 0.50] def 4449 382 (Trial) sprnt /txtpos [0.00 0.00] def /fontsiz 256 def /spacesiz 17 def /fontsiz 256 def /spacesiz 17 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 21 def /txtpos [0.50 1.00] def 1200 872 (0) sprnt 2266 872 (70) sprnt 3333 872 (140) sprnt 4400 872 (210) sprnt 5466 872 (280) sprnt 6533 872 (350) sprnt 7600 872 (420) sprnt /txtpos [1.00 0.35] def 872 1200 (-12) sprnt 872 2266 (-9) sprnt 872 3333 (-6) sprnt 872 4400 (-3) sprnt 872 5466 (0) sprnt 872 6533 (3) sprnt 872 7600 (6) sprnt solid setdash /fontsiz 514 def /spacesiz 34 def /fontsiz 514 def /spacesiz 34 def /mainfont /Times-Roman def mainfont findfont fontsiz scalefont setfont /txtspace 42 def /txtpos [0.50 1.00] def 567 8600 (a\)) sprnt 0 0 translate solid setdash 0 0 translate 28.600028 28.600028 scale -18 -36 translate showpage %%EndDocument endTexFig 224 1122 a Fk(Figure)18 b(3:)26 b(Adaptation)18 b(as)f(a)h(function)h (of)f(trial)g(n)o(um)o(b)q(er)h(for)e(a\))g(visual)j(and)224 1183 y(b\))i(auditory)g(lo)q(calization.)43 b(The)23 b(p)q(erturbation)f(w)o(as)g(absen)o(t)f(for)h(the)g(\014rst)224 1244 y(105)c(trials,)h(w)o(as)e(in)o(tro)q(duced)j(gradually)l(,)f (increasing)h(linearly)l(,)g(during)f(trials)224 1305 y(105-140,)f(and)h(w)o(as)f(presen)o(t)h(in)h(full)g(for)f(the)g (remainder)h(of)e(the)h(session.)32 b(A)224 1366 y(baseline)19 b(lo)q(calization)g(bias)e(w)o(as)f(computed)h(from)f(trials)i(1-105)d (and)i(plotted)224 1427 y(as)f(a)f(dashed)i(line.)24 b(The)16 b(mean)g Fg(\006)g Fk(1)g(standard)f(error)g(bias)i(is)f (plotted)g(for)g(the)224 1488 y(group)e(in)i(whic)o(h)f(audition)h(w)o (as)e(shifted)h(to)f(the)g(left)h(\(solid)h(circles\))f(and)g(righ)o(t) 224 1550 y(\(hollo)o(w)h(circles\))g(of)f(vision.)p 224 1611 1394 3 v 224 1739 a(the)j(auditory)f(adaptation|is)h(within)h(the) f(margin)f(of)g(error)g(of)g(the)g(exp)q(eri-)224 1800 y(men)o(tal)e(paradigm.)295 1862 y(T)l(aking)j(the)f(view)h(that)f(in)o (tegration)h(and)f(adaptation)g(are)h(b)q(oth)f(related)224 1923 y(to)22 b(the)g(reliabilit)o(y)j(of)d(the)h(sensory)f(inputs,)i (the)f(\014nding)h(that)d(visual)j(and)224 1984 y(auditory)e(lo)q (calization)i(v)m(ariance)f(c)o(hanges)e(considerably)j(as)d(a)h (function)g(of)224 2045 y(angle)h(of)e(azim)o(uth)i(\(Figure)f(2a\))f (suggests)g(that)h(the)g(amoun)o(t)f(of)h(auditory)224 2106 y(adaptation)16 b(ma)o(y)g(also)g(v)m(ary)h(as)f(a)g(function)h (of)f(azim)o(uth.)24 b(In)17 b(fact,)f(the)h(three)224 2167 y(mo)q(dels)c(of)e(adaptation)g(w)o(e)h(ha)o(v)o(e)f(presen)o(ted) h(mak)o(e)f(quite)h(distinct)h(predictions)224 2228 y(regarding)i(the)h (spatial)f(pattern)g(of)g(auditory)g(adaptation:)292 2327 y Fg(\017)23 b Fk(The)18 b Ff(delta)g(rule)f Fk(\(14\))g(predicts) h(that)f(the)g(amoun)o(t)g(of)g(adaptation)g(will)p eop %%Page: 17 17 17 16 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(17)338 286 y(simply)16 b(b)q(e)g(prop)q(ortional)f(to)f(the)h(magnitude)h(of)e (the)h(displacemen)o(t)i(in-)338 348 y(tro)q(duced)f(and)h(the)f (duration)g(\(n)o(um)o(b)q(er)g(of)g(trials\))g(of)g(the)g(exp)q(osure) g(to)338 409 y(this)e(displacemen)o(t.)21 b(As)15 b(b)q(oth)f(the)g (magnitude)h(and)f(duration)h(of)e(exp)q(o-)338 470 y(sure)g(are)g (constan)o(t)f(throughout)g(the)h(azim)o(uth,)h(the)f(delta)g(rule)h (predicts)338 531 y(that)g(adaptation)h(will)i(also)e(b)q(e)h Ff(c)n(onstant)e Fk(as)h(a)g(function)h(of)f(azim)o(uth.)292 629 y Fg(\017)23 b Fk(The)14 b Ff(weighte)n(d)h(delta)g(rule)f Fk(\(11\))f(predicts)i(that,)e(along)h(with)g(magnitude)338 691 y(and)22 b(duration,)h(the)f(amoun)o(t)g(of)f(auditory)h (adaptation)g(will)h(also)f(b)q(e)338 752 y(prop)q(ortional)c(to)g(the) g(w)o(eigh)o(ting)h(of)f(the)g(visual)h(mo)q(dalit)o(y)l(.)30 b(Since)20 b(the)338 813 y(data)12 b(suggests)h(that)f(vision)j(is)e(w) o(eigh)o(ted)h(most)e(hea)o(vily)i(straigh)o(t-ahead)338 874 y(\(Figure)20 b(2b\),)g(under)g(this)h(h)o(yp)q(othesis)f(auditory) g(adaptation)g(will)h(b)q(e)338 935 y Ff(gr)n(e)n(atest)14 b Fk(straigh)o(t-ahead.)292 1034 y Fg(\017)23 b Fk(The)12 b Ff(varianc)n(e-weighte)n(d)i(delta)f(rule)g Fk(\(12\))e(predicts)i (that)e(the)i(amoun)o(t)e(of)338 1095 y(auditory)j(adaptation)g(will)i (b)q(e)f(prop)q(ortional)g(to)f(the)g(v)m(ariance)i(of)e(audi-)338 1156 y(tory)e(lo)q(calization.)21 b(Therefore,)13 b(giv)o(en)g(the)g (data)g(\(Figure)g(2a\),)f(auditory)338 1217 y(adaptation)j(will)h(b)q (e)g Ff(le)n(ast)f Fk(straigh)o(t-ahead.)224 1316 y(The)23 b(exp)q(erimen)o(tally-obtained)j(spatial)e(pattern)f(of)f(auditory)h (adaptation)224 1377 y(sho)o(ws)e(a)f(pronounced)i(reduction)h(straigh) o(t-ahead)d(\(Figure)h(4\).)37 b(These)22 b(re-)224 1438 y(sults)15 b(supp)q(ort)g(the)g(v)m(ariance-w)o(eigh)o(ted)h(delta)f (rule,)g(in)g(whic)o(h)h(eac)o(h)e(mo)q(dalit)o(y)224 1499 y(adapts)h(in)g(prop)q(ortion)g(to)g(its)g(v)m(ariance,)h(in)f(fa) o(v)o(or)f(of)g(the)h(other)g(t)o(w)o(o)f(learning)224 1560 y(rules.)30 b(Some)18 b(asymmetry)f(in)i(adaptation)e(is)i(also)f (observ)o(ed,)h(whic)o(h)g(is)f(p)q(er-)224 1621 y(haps)i(related)g(to) f(asymmetries)g(resulting)i(from)e(p)q(oin)o(ting)h(resp)q(onses)h(b)q (eing)224 1682 y(made)15 b(using)h(only)g(the)f(righ)o(t)g(hand)h (\(Ghahramani)f(1995\).)295 1744 y(While)i(these)f(results)h(are)e (suggestiv)o(e,)h(further)g(exp)q(erimen)o(ts)h(are)e(needed)224 1805 y(to)22 b(further)h(elucidate)i(the)e(pro)q(cesses)g(of)f (visuo-auditory)i(in)o(tegration)f(and)224 1866 y(adaptation.)d(So)14 b(far,)g(our)h(results)h(strongly)e(argue)h(against)f(mo)q(dels)i(in)g (whic)o(h)224 1927 y(senses)g(are)g(in)o(tegrated)f(sto)q(c)o (hastically)l(.)23 b(The)16 b(pattern)f(of)g(adaptation)g(is)i(con-)224 1988 y(sisten)o(t)22 b(with)g(the)h(v)m(ariance-w)o(eigh)o(ted)g(delta) f(rule,)i(whic)o(h)f(in)g(turn)f(can)g(b)q(e)224 2049 y(deriv)o(ed)g(from)e(minim)o(um)h(v)m(ariance)h(in)o(tegration.)36 b(These)21 b(data)f(suggest)g(an)224 2110 y(imp)q(ortan)o(t)15 b(role)g(for)g(a)g(signal)h(co)q(ding)g(for)f(reliabilit)o(y)i(of)e(an) g(input,)h(b)q(oth)f(as)g(a)224 2172 y(w)o(eigh)o(t)j(for)g(m)o (ultisensory)g(in)o(tegration,)h(and)f(as)g(a)g(mo)q(dulator)g(for)f (in)o(tersen-)224 2233 y(sory)g(adaptation.)26 b(In)18 b(the)g(next)f(section)h(w)o(e)f(examine)i(the)e(predictions)i(of)e(a) 224 2294 y(Kalman)h(\014lter,)g(the)f(dynamical)i(extension)f(of)e (minim)o(um)j(v)m(ariance)f(in)o(tegra-)224 2355 y(tion,)13 b(in)g(the)f(con)o(text)g(of)f(sensorimotor)h(in)o(tegration)g(during)h (arm)e(mo)o(v)o(emen)o(ts.)p eop %%Page: 18 18 18 17 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(18)508 720 y 13052758 14880141 1315635 3486433 38153420 45784104 startTexFig 508 720 a %%BeginDocument: audspatialf.ps %gr.pro prolog for graph plots from bruce's own graphics /G2PSbegin {newpath 0 0 moveto 12 setlinewidth 0 0 0 setrgbcolor 1 setlinecap 0 setlinejoin 2 setmiterlimit /imtx matrix currentmatrix def /dmtx matrix defaultmatrix def} def /len {dup mul exch dup mul add sqrt} def /dotpat {0 imtx dtransform len 0 idtransform len}def /solid {{}0}def /dotted {[0 dotpat 3 dotpat ] 0}def /fewdotted {[0 dotpat 6 dotpat ] 0} def /longdashed {[10 dotpat 4 dotpat] 0}def /shortdashed {[4 dotpat] 0}def /dashed {[6 dotpat] 0} def /dotdashed {[1 dotpat 6 dotpat 10 dotpat 6 dotpat] 0}def /none {[0 dotpat 10000 dotpat] 0} def /linestyle {solid} def /ratio 1 def /symbsiz 20 def % symbol size/radius /symbw 40 def /symbh 40 def /patternw 20 def /fillcolor {1 1 1} def % setrgbcolor value for symbol insides /linecolor {0 0 0} def % set color value for lines /nofill {} def /colorfill {fillcolor setrgbcolor fill} def /symbfil {colorfill} def % I think first true should be false, but little success /ifpath {pathbbox eq {eq {false} {true} ifelse} {pop pop true} ifelse} def /ifheight {pathbbox exch pop eq {pop false} {pop true} ifelse} def /crossfill { gsave 1.0 1.0 1.0 setrgbcolor fill grestore % wipe the inside clean clip currentpoint 0 patternw symbw {0 patternw symbh {patternw patternw rlineto patternw neg 0 rmoveto patternw patternw neg rlineto patternw neg patternw rmoveto pop} for patternw symbh patternw add patternw idiv patternw mul neg rmoveto pop} for stroke newpath moveto} def /plusfill { gsave 1.0 1.0 1.0 setrgbcolor fill grestore % wipe the inside clean clip currentpoint 0 patternw symbw {0 patternw symbh {patternw 0 rlineto patternw 2 div neg 0 rmoveto 0 patternw rlineto patternw 2 div neg 0 rmoveto pop} for patternw symbh patternw add patternw idiv patternw mul neg rmoveto pop} for stroke newpath moveto} def /txtpath 0 def % direction for strings in degrees /txtpos [0 0] def % positioning of strings relative to % current position /subpos [0 0] def /txtspace 1 def % space between letters in x direction /fontsiz 15 def % size of font /spacesiz 1 def % size for space character /foostr () def % draws a line between a pair of points /pairup {moveto lineto stroke} def /ifpairup {moveto lineto ifpath {stroke} if} def /dopairs { linecolor setrgbcolor {pairup} repeat} def % draws a line joining n points, where n is the last % number before doline is called /doline { linecolor setrgbcolor 3 1 roll moveto 1 sub {lineto} repeat stroke} def % fill area closes the path and fills the area /fillarea { linecolor setrgbcolor 3 1 roll moveto 1 sub {lineto} repeat gsave closepath symbfil grestore stroke} def % draws a circle radius symbsiz at current point /docircle { newpath linestyle setdash symbsiz 0 360 arc gsave closepath % define cirlce symbw neg symbh 2 div neg rmoveto symbfil % move to corner before filling grestore linecolor setrgbcolor stroke } def /ori 0 def /doellipse { dup neg /movy exch def exch dup neg /movx exch def exch translate ori rotate 1 ratio scale newpath linestyle setdash 0 0 symbsiz 0 360 arc gsave closepath % define cirlce symbw neg symbh 2 div neg rmoveto symbfil % move to corner before filling grestore linecolor setrgbcolor stroke 1 ratio 1 exch div scale ori neg rotate movx movy translate} def % dobar draws a vertical bar % y x basey => - /dobar {newpath dup 3 1 roll exch symbsiz sub exch moveto symbsiz 2 mul 0 rlineto sub dup /symbh exch def dup 0 exch rlineto symbsiz 2 mul neg 0 rlineto neg 0 exch rlineto ifheight {gsave closepath symbfil grestore} if ifheight {stroke} if} def % an array descibing the relative co-ordinates of a the % points in a non-circular symbol /symbary [10 10 -20 0 0 -20 20 0 0 20] def % draws a symbol desribed by an array on top of the stack /arydraw { /ard exch def currentpoint % save centre posn ard 0 get ard 1 get rmoveto % go to plotting point 2 2 ard length 1 sub % { dup 1 add ard exch get exch ard exch get rlineto } for gsave closepath moveto % return to centre symbw 2 div neg symbh 2 div neg rmoveto % bottom left corner ifpath {symbfil} if grestore ifpath {linecolor setrgbcolor stroke} if } def % plots symbol symbary at x,y on the stack /plotsymb {dupxy /movy exch neg def /movx exch neg def moveto ori rotate symbary arydraw ori neg rotate movx movy moveto} def % prints a string in direction txtpath, /sprnt {3 1 roll dup neg 4 1 roll exch dup neg 5 1 roll exch translate txtpath rotate puts txtpath neg rotate translate} def /puts {linecolor setrgbcolor dup dup stringwidth pop exch length txtspace mul add txtpos 0 get mul neg fontsiz txtpos 1 get mul neg moveto 0 0 8#040 txtspace 0 6 -1 roll awidthshow} def /showmark {docircle} def /dupxy {dup 3 2 roll dup 4 1 roll exch} def /nlin 0 def /offx 0 def /showkeyline {dupxy dupxy dupxy exch symbw nlin mul add exch ifpath {pairup} if pop pop} def /showkeysymb {dupxy exch offx add exch showmark} def /showkey {showkeyline /offx 0 def showkeysymb pop pop} def % stringmark puts a symbol within a string /stringmark {4 2 roll dup neg 5 1 roll exch dup neg 6 1 roll exch % make inverse co-ordinates translate txtpath rotate % move to string pos dup stringwidth pop exch length txtspace mul add % lengtt of first string exch dup stringwidth pop exch length txtspace mul add % length of full string txtpos 0 get mul sub symbsiz add % X pos for mark - sub was add before!! fontsiz txtpos 1 get 0.4 exch sub mul showkey txtpath neg rotate translate} def %set a default font /Times-Roman findfont fontsiz scalefont setfont /mainfont /Times-Roman def % substr places the string foostr inside another string % scaled down by factor subscale /subfont mainfont def /subscale 0.8 def /substr {/cpath txtpath def 4 2 roll dup neg 5 1 roll exch dup neg 6 1 roll exch % make inverse co-ordinates translate txtpath rotate % move to string pos dup stringwidth pop exch length txtspace mul add % lengtt of first string exch dup stringwidth pop exch length txtspace mul add % length of full string txtpos 0 get mul sub subpos 0 get foostr stringwidth pop mul add % X pos for mark fontsiz txtpos 1 get 0.4 exch sub subpos 1 get add mul % Ypos /txtpath 0 def /txtpos [0. 0.4] def subfont findfont fontsiz subscale mul scalefont setfont foostr sprnt /txtpath cpath def txtpath neg rotate translate mainfont findfont fontsiz scalefont setfont} def G2PSbegin 18 36 translate 0.034965 0.034965 scale 0 0 translate % Graph number 1 38 640 translate 15 setlinewidth solid setdash /linestyle {solid} def /linecolor {0.0 0.0 0.0} def 2149 2496 15239 2496 2149 2496 2149 2321 4331 2496 4331 2321 6512 2496 6512 2321 8694 2496 8694 2321 10875 2496 10875 2321 13057 2496 13057 2321 15239 2496 15239 2321 8 dopairs 1724 2569 1724 17486 1724 2569 1548 2569 1724 5552 1548 5552 1724 8535 1548 8535 1724 11519 1548 11519 1724 14502 1548 14502 1724 17486 1548 17486 7 dopairs % Data Set 1: 31 setlinewidth none setdash /linestyle {none} def 31 setlinewidth solid setdash /linestyle {solid} def /symbfil {colorfill} def /fillcolor {0.5 0.5 0.5} def /patternw 121 def /symbsiz 121 def /symbw 242 def /symbh 242 def /ori 0.00 def /showmark {docircle} def gsave newpath 1791 2563 moveto 1791 18125 lineto 15666 18125 lineto 15666 2563 lineto closepath clip newpath % Draw error Bars with solid line 15239 15095 15239 11768 15239 11768 15239 8443 14736 13255 14736 9575 14736 9575 14736 5893 14232 16951 14232 13309 14232 13309 14232 9667 13729 18551 13729 15211 13729 15211 13729 11870 13225 15585 13225 12689 13225 12689 13225 9793 12721 13384 12721 10162 12721 10162 12721 6938 12218 12569 12218 9243 12218 9243 12218 5916 11714 15145 11714 12126 11714 12126 11714 9106 11212 14199 11212 11709 11212 11709 11212 9219 10709 10363 10709 8231 10709 8231 10709 6099 10205 11007 10205 9242 10205 9242 10205 7476 9702 10736 9702 9178 9702 9178 9702 7619 9198 8123 9198 6814 9198 6814 9198 5504 8694 6550 8694 5125 8694 5125 8694 3699 8191 6614 8191 4620 8191 4620 8191 2626 7687 8646 7687 6426 7687 6426 7687 4207 7184 10169 7184 7746 7184 7746 7184 5323 6681 9941 6681 7264 6681 7264 6681 4586 6177 10263 6177 7378 6177 7378 6177 4492 5674 12973 5674 9699 5674 9699 5674 6423 5170 13620 5170 10394 5170 10394 5170 7170 4667 11073 4667 7146 4667 7146 4667 3219 4163 8303 4163 4085 4163 4085 4163 -132 3660 12726 3660 8556 3660 8556 3660 4385 3156 13968 3156 10048 3156 10048 3156 6128 2653 8668 2653 5099 2653 5099 2653 1529 2149 10167 2149 7082 2149 7082 2149 3998 54 dopairs 31 setlinewidth none setdash /linestyle {none} def % Draw data line 31 setlinewidth solid setdash /linestyle {solid} def /fillcolor {0.5 0.5 0.5} def 15239 11768 14736 9575 14232 13309 13729 15211 13225 12689 12721 10162 12218 9243 11714 12126 11212 11709 10709 8231 10205 9242 9702 9178 9198 6814 8694 5125 8191 4620 7687 6426 7184 7746 6681 7264 6177 7378 5674 9699 5170 10394 4667 7146 4163 4085 3660 8556 3156 10048 2653 5099 2149 7082 27 {showmark} repeat grestore % end of clipping % Data Set 2: /fillcolor {0.0 0.0 0.0} def /symbfil {nofill} def /patternw 121 def /symbsiz 121 def /symbw 242 def /symbh 242 def /ori 0.00 def /showmark {pop pop} def gsave newpath 1791 2563 moveto 1791 18125 lineto 15666 18125 lineto 15666 2563 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath 15239 11568 14736 12036 14232 12478 13729 12624 13225 12315 12721 11770 12218 11300 11714 10940 11212 10442 10709 9757 10205 9056 9702 8121 9198 6853 8694 5803 8191 5524 7687 5989 7184 6753 6681 7474 6177 8085 5674 8501 5170 8549 4667 8248 4163 7891 3660 7658 3156 7403 2653 7045 2149 6716 27 doline grestore % end of clipping % Data Set 3: /symbfil {colorfill} def /patternw 81 def /symbsiz 81 def /symbw 162 def /symbh 162 def /ori 0.00 def /showmark {pop pop} def gsave newpath 1791 2563 moveto 1791 18125 lineto 15666 18125 lineto 15666 2563 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath 15239 9933 14736 10975 14232 11520 13729 11621 13225 11197 12721 10780 12218 10362 11714 9966 11212 9372 10709 8648 10205 7873 9702 6921 9198 5523 8694 4506 8191 4450 7687 4906 7184 5676 6681 6429 6177 7049 5674 7529 5170 7496 4667 7321 4163 6986 3660 6734 3156 6446 2653 5964 2149 5041 27 doline grestore % end of clipping % Data Set 4: /fillcolor {0.0 0.0 0.0} def /patternw 160 def /symbsiz 160 def /symbw 320 def /symbh 320 def /ori 0.00 def /showmark {pop pop} def gsave newpath 1791 2563 moveto 1791 18125 lineto 15666 18125 lineto 15666 2563 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath 15239 13202 14736 13097 14232 13436 13729 13627 13225 13434 12721 12759 12218 12238 11714 11914 11212 11512 10709 10864 10205 10240 9702 9320 9198 8184 8694 7100 8191 6597 7687 7072 7184 7828 6681 8518 6177 9120 5674 9474 5170 9602 4667 9174 4163 8796 3660 8581 3156 8359 2653 8126 2149 8391 27 doline grestore % end of clipping /fontsiz 627 def /spacesiz 41 def /fontsiz 627 def /spacesiz 41 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtpath 90 def /txtspace 52 def /txtpos [0.50 0.00] def 611 10027 (Auditory Adaptation \(deg.\)) sprnt /txtpath 0 def /txtpos [0.50 0.50] def 8424 868 (Angle) sprnt /txtpos [0.00 0.00] def /fontsiz 510 def /spacesiz 34 def /fontsiz 510 def /spacesiz 34 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 42 def /txtpos [0.50 1.00] def 2149 2161 (-45) sprnt 4331 2161 (-30) sprnt 6512 2161 (-15) sprnt 8694 2161 (0) sprnt 10875 2161 (15) sprnt 13057 2161 (30) sprnt 15239 2161 (45) sprnt /txtpos [1.00 0.35] def 1389 2569 (0) sprnt 1389 5552 (2) sprnt 1389 8535 (4) sprnt 1389 11519 (6) sprnt 1389 14502 (8) sprnt 1389 17486 (10) sprnt -38 -640 translate 0 0 translate 28.600028 28.600028 scale -18 -36 translate showpage %%EndDocument endTexFig 224 1765 a Fk(Figure)11 b(4:)17 b(Auditory)11 b(adaptation)g(as)f(a)g (function)i(of)e(angle)h(of)f(azim)o(uth.)19 b(Means)224 1826 y(and)14 b(standard)f(errors)g(are)g(plotted,)h(along)f(with)h(a)f (smo)q(othing)h(spline)h(\014t)e(with)224 1887 y(standard)i(error)f (curv)o(es.)p eop %%Page: 19 19 19 18 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(19)224 286 y Fl(4)67 b(Sensorimotor)23 b(In)n(tegration)g(and)g(In)n(ternal) 325 367 y(Mo)r(dels)224 473 y Fk(When)d(w)o(e)e(mo)o(v)o(e)h(our)f(arm) h(in)g(the)h(absence)f(of)g(visual)h(feedbac)o(k,)g(there)f(are)224 535 y(three)24 b(basic)g(metho)q(ds)g(whereb)o(y)g(the)f(motor)g(con)o (trol)g(system)g(can)h(obtain)224 596 y(an)f(estimate)g(of)g(the)g (curren)o(t)g(state)f(\(e.g.)g(p)q(osition)i(and)f(v)o(elo)q(cit)o(y\)) g(of)g(the)224 657 y(hand.)42 b(The)23 b(system)e(can)i(mak)o(e)f(use)h (of)e(sensory)i(in\015o)o(w)f(\(rea\013erence\),)i(it)224 718 y(can)17 b(mak)o(e)g(use)h(of)e(in)o(tegrated)h(motor)f(out\015o)o (w)g(\(dead)i(rec)o(k)o(oning\),)f(or)f(it)i(can)224 779 y(com)o(bine)d(these)e(t)o(w)o(o)g(sources)g(of)h(information.)19 b(In)14 b(order)g(to)f(com)o(bine)h(sensory)224 840 y(and)k(motor)f (information)g(sources,)h(the)g(t)o(w)o(o)f(problems)h(w)o(e)f (outlined)j(in)e(sec-)224 901 y(tion)e(2|co)q(ordinate)h (transformation)d(and)j(in)o(tegration|ha)o(v)o(e)f(to)f(b)q(e)h(solv)o (ed)224 963 y(b)o(y)k(the)f(cen)o(tral)h(nerv)o(ous)g(system.)32 b(In)20 b(section)h(2.2.1)d(w)o(e)h(presen)o(ted)h(a)f(sim-)224 1024 y(ple)i(mo)q(del|the)g(Kalman)g(\014lter|whic)o(h)g(addresses)f(b) q(oth)g(these)g(problems)224 1085 y(in)h(the)f(con)o(text)f(of)h (linear)h(dynamical)g(con)o(trol)f(systems.)33 b(W)l(e)20 b(\014rst)f(outline)224 1146 y(ho)o(w)e(these)h(problems)g(are)f (addressed)h(in)g(the)g(Kalman)g(\014lter)g(mo)q(del,)h(b)q(efore)224 1207 y(reviewing)g(some)e(recen)o(t)h(results)g(testing)f(this)h(mo)q (del's)g(predictions)h(regard-)224 1268 y(ing)d(the)f(temp)q(oral)h (propagation)e(of)h(errors)f(in)i(lo)q(calizing)i(the)d(hand)h(during)g (a)224 1329 y(mo)o(v)o(emen)o(t)e(\(W)l(olp)q(ert,)h(Ghahramani)g(&)h (Jordan)f(1995b\).)295 1391 y(F)l(or)10 b(the)g(sensorimotor)g(system,) h(one)g(k)o(ey)f(asp)q(ect)h(of)g(the)f(co)q(ordinate)h(trans-)224 1452 y(formation)g(problem)h(is)g(that,)f(whereas)h(sensory)f(signals)h (ma)o(y)f(directly)i(cue)f(the)224 1513 y(lo)q(cation)18 b(of)f(the)g(hand,)g(motor)f(out\015o)o(w)g(\(\\e\013erence)h(cop)o (y"\))f(generally)i(do)q(es)224 1574 y(not.)i(Kno)o(wing)15 b(the)g(sequence)h(of)e(torques)h(applied)h(to)e(an)h(arm,)f(for)g (example,)224 1635 y(do)q(es)19 b(not)g(determine)h(its)f(\014nal)h (con\014guration;)g(in)g(order)f(to)f(con)o(v)o(ert)g(motor)224 1696 y(out\015o)o(w)12 b(in)o(to)h(an)h(estimate)e(of)h(the)g(state)g (of)f(the)h(arm,)g(the)g(system)g(m)o(ust)f(mak)o(e)224 1757 y(use)k(of)f(an)g Ff(internal)h(mo)n(del)f Fk(of)g(the)h(arm's)e (dynamics.)22 b(Sp)q(eci\014cally)l(,)d(there)c(are)224 1819 y(t)o(w)o(o)h(v)m(arieties)j(of)e(in)o(ternal)h(mo)q(dels|\\forw)o (ard)g(mo)q(dels,")g(whic)o(h)g(mimic)h(the)224 1880 y(causal)e(\015o)o(w)g(of)f(a)h(pro)q(cess)g(b)o(y)f(predicting)j(its)e (next)g(state)f(giv)o(en)h(the)g(curren)o(t)224 1941 y(state)f(and)h(the)f(motor)f(command,)i(and)f(\\in)o(v)o(erse)h(mo)q (dels,")g(whic)o(h)g(are)g(an)o(ti-)224 2002 y(causal,)h(estimating)g (the)f(motor)g(command)g(that)g(causes)g(a)h(particular)g(state)224 2063 y(transition)h(\(Jordan)g(1995\).)29 b(The)20 b(Kalman)f(\014lter) g(mak)o(es)g(use)g(of)g(a)f(forw)o(ard)224 2124 y(mo)q(del)13 b(in)g(order)f(to)g(predict)h(the)f(state)g(of)f(the)i(arm.)18 b(This)13 b(motor)e(prediction)i(is)224 2185 y(then)g(com)o(bined)h (with)f(sensory)g(inputs)h(according)f(to)f(the)h(minim)o(um)h(v)m (ariance)224 2247 y(in)o(tegration)h(principle)j(\(Go)q(o)q(dwin)e(&)f (Sin)i(1984\).)295 2308 y(T)l(o)d(examine)g(the)h(p)q(ossibilit)o(y)h (that)d(an)h(in)o(ternal)h(mo)q(del)g(is)g(indeed)g(used)g(in)p eop %%Page: 20 20 20 19 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(20)224 286 y(sensorimotor)16 b(in)o(tegration,)h(w)o(e)g(carried)g(out)g(an)g (exp)q(erimen)o(t)h(in)g(whic)o(h)f(sub-)224 348 y(jects)f(made)g(arm)f (mo)o(v)o(emen)o(ts)g(in)i(the)f(dark)g(\(W)l(olp)q(ert)g(et)g(al.)g (1995b\).)21 b(Three)224 409 y(exp)q(erimen)o(tal)e(conditions)f(w)o (ere)f(studied,)h(in)o(v)o(olving)h(the)e(use)g(of)g(n)o(ull,)i(assis-) 224 470 y(tiv)o(e)c(and)f(resistiv)o(e)h(force)f(\014elds.)20 b(Sub)s(jects)15 b(gripp)q(ed)g(a)f(planar)h(t)o(w)o(o)e(degree-of-)224 531 y(freedom)k(torque-motor-driv)o(en)f(manipulandum)i(\(F)l(a)o(y)o (e)e(1986\),)f(while)j(view-)224 592 y(ing)e(virtual)f(visual)h (feedbac)o(k)f(pro)s(jected)g(in)o(to)g(the)g(plane)g(of)g(mo)o(v)o (emen)o(t.)k(The)224 653 y(manipulandum)c(w)o(as)c(used)i(to)f (accurately)h(measure)g(the)f(p)q(osition)i(of)e(the)g(sub-)224 714 y(ject's)j(th)o(um)o(b)h(and)g(also,)g(using)g(the)g(torque)g (motors,)e(to)h(apply)i(forces)f(to)f(the)224 776 y(hand.)20 b(The)15 b(hand)g(w)o(as)f(constrained)h(to)f(mo)o(v)o(e)g(along)h(a)f (straigh)o(t)g(line)i(passing)224 837 y(transv)o(ersely)d(in)h(fron)o (t)f(of)g(the)g(sub)s(ject.)19 b(Eac)o(h)14 b(trial)f(started)g(with)h (the)f(sub)s(ject)224 898 y(visually)g(placing)f(his)g(th)o(um)o(b)f (at)f(a)h(target)f(square)h(pro)s(jected)f(randomly)i(on)f(the)224 959 y(mo)o(v)o(emen)o(t)g(line.)21 b(The)12 b(arm)g(w)o(as)g(then)g (illuminated)j(for)d(t)o(w)o(o)f(seconds,)i(thereb)o(y)224 1020 y(allo)o(wing)18 b(the)e(sub)s(ject)h(to)f(visually)i(p)q(erceiv)o (e)g(his)f(initial)i(arm)d(con\014guration.)224 1081 y(The)i(ligh)o(t)g(w)o(as)e(then)i(extinguished)h(and)f(the)f(sub)s (ject)h(mo)o(v)o(ed)f(his)h(hand)f(left)224 1142 y(or)g(righ)o(t,)h(as) g(indicated)h(b)o(y)f(an)g(arro)o(w,)e(in)j(the)f(absence)g(of)g (visual)h(feedbac)o(k.)224 1204 y(The)13 b(sub)s(jects')f(in)o(ternal)h (estimate)f(of)g(hand)h(lo)q(cation)g(w)o(as)f(assessed)g(b)o(y)h (asking)224 1265 y(them)18 b(to)f(lo)q(calize)j(visually)g(the)e(p)q (osition)h(of)e(their)h(hand)h(at)e(the)h(end)g(of)g(the)224 1326 y(mo)o(v)o(emen)o(t.)32 b(The)20 b(discrepancy)h(b)q(et)o(w)o(een) e(the)h(actual)g(and)f(visual)i(estimate)224 1387 y(of)d(th)o(um)o(b)g (lo)q(cation)h(w)o(as)e(recorded)i(as)f(a)g(measure)g(of)g(the)g(state) g(estimation)224 1448 y(error.)295 1509 y(The)f(bias)g(of)f(the)h (estimated)g(lo)q(cation)h(of)e(the)h(hand,)g(plotted)g(as)g(a)f(func-) 224 1570 y(tion)i(of)f(mo)o(v)o(emen)o(t)g(duration)g(sho)o(w)o(ed)h(a) f(consisten)o(t)h(o)o(v)o(erestimation)f(of)g(the)224 1632 y(distance)c(mo)o(v)o(ed)f(\(Figure)h(5\).)18 b(This)13 b(bias)g(demonstrated)f(t)o(w)o(o)f(distinct)j(phases)224 1693 y(as)f(a)g(function)h(of)e(mo)o(v)o(emen)o(t)g(duration,)i(an)f (initial)i(increase)f(reac)o(hing)g(a)e(p)q(eak)224 1754 y(of)18 b(0.9)f(cm)g(after)h(one)g(second)g(follo)o(w)o(ed)g(b)o(y)g(a) g(sharp)g(transition)g(to)f(a)h(region)224 1815 y(of)d(gradual)g (decline.)22 b(The)15 b(v)m(ariance)h(of)e(the)h(estimate)g(also)g(sho) o(w)o(ed)g(an)g(initial)224 1876 y(increase)20 b(during)h(the)e (\014rst)g(second)h(of)f(mo)o(v)o(emen)o(t)g(after)f(whic)o(h)j(it)e (plateaus)224 1937 y(at)f(ab)q(out)g(2)h(cm)516 1921 y Fb(2)535 1937 y Fk(.)30 b(External)19 b(forces)f(had)h(distinct)g (e\013ects)g(on)f(the)h(bias)g(and)224 1998 y(v)m(ariance)d (propagation.)j(Whereas)c(the)g(bias)h(w)o(as)e(increased)i(b)o(y)f (the)g(assistiv)o(e)224 2059 y(force)f(and)h(decreased)g(b)o(y)f(the)h (resistiv)o(e)g(force,)f(the)g(v)m(ariance)h(w)o(as)f(una\013ected.)295 2121 y(These)e(exp)q(erimen)o(tal)h(results)g(w)o(ere)e(fully)j(accoun) o(ted)e(for)f(using)i(a)e(Kalman)224 2182 y(\014lter)22 b(mo)q(del)h(whic)o(h)f(in)o(tegrates)f(the)h(e\013eren)o(t)f(out\015o) o(w)f(and)i(the)g(rea\013eren)o(t)224 2243 y(sensory)c(in\015o)o(w.)30 b(The)18 b(system)g(dynamics)h(of)f(the)g(hand)h(w)o(as)e(appro)o (ximated)224 2304 y(b)o(y)g(a)g(damp)q(ed)h(\(co)q(e\016cien)o(t)g Fe(\014)r Fk(\))f(p)q(oin)o(t)h(mass,)e Fe(m)p Fk(,)i(mo)o(ving)f(in)h (one)f(dimension)224 2365 y(acted)g(on)g(b)o(y)g(a)f(force)h Fe(u)p Fk(,)g(com)o(bining)h(b)q(oth)f(in)o(ternal)g(motor)f(commands)h (and)p eop %%Page: 21 21 21 20 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(21)301 241 y 19579138 19187545 2565488 8551628 40455782 46047232 startTexFig 301 241 a %%BeginDocument: resrev.ps %gr.pro prolog for graph plots from bruce's own graphics /G2PSbegin {newpath 0 0 moveto 12 setlinewidth 0 0 0 setrgbcolor 1 setlinecap 0 setlinejoin 2 setmiterlimit /imtx matrix currentmatrix def /dmtx matrix defaultmatrix def} def /len {dup mul exch dup mul add sqrt} def /dotpat {0 imtx dtransform len 0 idtransform len}def /solid {{}0}def /dotted {[0 dotpat 3 dotpat ] 0}def /fewdotted {[0 dotpat 6 dotpat ] 0} def /longdashed {[10 dotpat 4 dotpat] 0}def /shortdashed {[4 dotpat] 0}def /dashed {[6 dotpat] 0} def /dotdashed {[1 dotpat 6 dotpat 10 dotpat 6 dotpat] 0}def /none {[0 dotpat 10000 dotpat] 0} def /linestyle {solid} def /ratio 1 def /symbsiz 20 def % symbol size/radius /symbw 40 def /symbh 40 def /patternw 20 def /fillcolor {1 1 1} def % setrgbcolor value for symbol insides /linecolor {0 0 0} def % set color value for lines /nofill {} def /colorfill {fillcolor setrgbcolor fill} def /symbfil {colorfill} def % I think first true should be false, but little success /ifpath {pathbbox eq {eq {false} {true} ifelse} {pop pop true} ifelse} def /ifheight {pathbbox exch pop eq {pop false} {pop true} ifelse} def /crossfill { gsave 1.0 1.0 1.0 setrgbcolor fill grestore % wipe the inside clean clip currentpoint 0 patternw symbw {0 patternw symbh {patternw patternw rlineto patternw neg 0 rmoveto patternw patternw neg rlineto patternw neg patternw rmoveto pop} for patternw symbh patternw add patternw idiv patternw mul neg rmoveto pop} for stroke newpath moveto} def /plusfill { gsave 1.0 1.0 1.0 setrgbcolor fill grestore % wipe the inside clean clip currentpoint 0 patternw symbw {0 patternw symbh {patternw 0 rlineto patternw 2 div neg 0 rmoveto 0 patternw rlineto patternw 2 div neg 0 rmoveto pop} for patternw symbh patternw add patternw idiv patternw mul neg rmoveto pop} for stroke newpath moveto} def /txtpath 0 def % direction for strings in degrees /txtpos [0 0] def % positioning of strings relative to % current position /subpos [0 0] def /txtspace 1 def % space between letters in x direction /fontsiz 15 def % size of font /spacesiz 1 def % size for space character /foostr () def % draws a line between a pair of points /pairup {moveto lineto stroke} def /ifpairup {moveto lineto ifpath {stroke} if} def /dopairs { linecolor setrgbcolor {pairup} repeat} def % draws a line joining n points, where n is the last % number before doline is called /doline { linecolor setrgbcolor 3 1 roll moveto 1 sub {lineto} repeat stroke} def % fill area closes the path and fills the area /fillarea { linecolor setrgbcolor 3 1 roll moveto 1 sub {lineto} repeat gsave closepath symbfil grestore stroke} def % draws a circle radius symbsiz at current point /docircle { newpath linestyle setdash symbsiz 0 360 arc gsave closepath % define cirlce symbw neg symbh 2 div neg rmoveto symbfil % move to corner before filling grestore linecolor setrgbcolor stroke } def /ori 0 def /doellipse { dup neg /movy exch def exch dup neg /movx exch def exch translate ori rotate 1 ratio scale newpath linestyle setdash 0 0 symbsiz 0 360 arc gsave closepath % define cirlce symbw neg symbh 2 div neg rmoveto symbfil % move to corner before filling grestore linecolor setrgbcolor stroke 1 ratio 1 exch div scale ori neg rotate movx movy translate} def % dobar draws a vertical bar % y x basey => - /dobar {newpath dup 3 1 roll exch symbsiz sub exch moveto symbsiz 2 mul 0 rlineto sub dup /symbh exch def dup 0 exch rlineto symbsiz 2 mul neg 0 rlineto neg 0 exch rlineto ifheight {gsave closepath symbfil grestore} if ifheight {stroke} if} def % an array descibing the relative co-ordinates of a the % points in a non-circular symbol /symbary [10 10 -20 0 0 -20 20 0 0 20] def % draws a symbol desribed by an array on top of the stack /arydraw { /ard exch def currentpoint % save centre posn ard 0 get ard 1 get rmoveto % go to plotting point 2 2 ard length 1 sub % { dup 1 add ard exch get exch ard exch get rlineto } for gsave closepath moveto % return to centre symbw 2 div neg symbh 2 div neg rmoveto % bottom left corner ifpath {symbfil} if grestore ifpath {linecolor setrgbcolor stroke} if } def % plots symbol symbary at x,y on the stack /plotsymb {dupxy /movy exch neg def /movx exch neg def moveto ori rotate symbary arydraw ori neg rotate movx movy moveto} def % prints a string in direction txtpath, /sprnt {3 1 roll dup neg 4 1 roll exch dup neg 5 1 roll exch translate txtpath rotate puts txtpath neg rotate translate} def /puts {linecolor setrgbcolor dup dup stringwidth pop exch length txtspace mul add txtpos 0 get mul neg fontsiz txtpos 1 get mul neg moveto 0 0 8#040 txtspace 0 6 -1 roll awidthshow} def /showmark {docircle} def /dupxy {dup 3 2 roll dup 4 1 roll exch} def /nlin 0 def /offx 0 def /showkeyline {dupxy dupxy dupxy exch symbw nlin mul add exch ifpath {pairup} if pop pop} def /showkeysymb {dupxy exch offx add exch showmark} def /showkey {showkeyline /offx 0 def showkeysymb pop pop} def % stringmark puts a symbol within a string /stringmark {4 2 roll dup neg 5 1 roll exch dup neg 6 1 roll exch % make inverse co-ordinates translate txtpath rotate % move to string pos dup stringwidth pop exch length txtspace mul add % lengtt of first string exch dup stringwidth pop exch length txtspace mul add % length of full string txtpos 0 get mul sub symbsiz add % X pos for mark - sub was add before!! fontsiz txtpos 1 get 0.4 exch sub mul showkey txtpath neg rotate translate} def %set a default font /Times-Roman findfont fontsiz scalefont setfont /mainfont /Times-Roman def % substr places the string foostr inside another string % scaled down by factor subscale /subfont mainfont def /subscale 0.8 def /substr {/cpath txtpath def 4 2 roll dup neg 5 1 roll exch dup neg 6 1 roll exch % make inverse co-ordinates translate txtpath rotate % move to string pos dup stringwidth pop exch length txtspace mul add % lengtt of first string exch dup stringwidth pop exch length txtspace mul add % length of full string txtpos 0 get mul sub subpos 0 get foostr stringwidth pop mul add % X pos for mark fontsiz txtpos 1 get 0.4 exch sub subpos 1 get add mul % Ypos /txtpath 0 def /txtpos [0. 0.4] def subfont findfont fontsiz subscale mul scalefont setfont foostr sprnt /txtpath cpath def txtpath neg rotate translate mainfont findfont fontsiz scalefont setfont} def G2PSbegin 18 36 translate 0.034965 0.034965 scale 0 0 translate % Graph number 1 982 9010 translate 6 setlinewidth solid setdash /linestyle {solid} def /linecolor {0.0 0.0 0.0} def 960 832 6080 832 960 832 960 761 2240 832 2240 761 3520 832 3520 761 4800 832 4800 761 6080 832 6080 761 6 dopairs 832 960 832 4362 832 960 761 960 832 2661 761 2661 832 4362 761 4362 4 dopairs % Data Set 1: 12 setlinewidth solid setdash /linestyle {solid} def /symbfil {colorfill} def /fillcolor {0.0 0.0 0.0} def /patternw 64 def /symbsiz 64 def /symbw 128 def /symbh 128 def /ori 0.00 def /showmark {pop pop} def gsave newpath 935 958 moveto 935 4506 lineto 6059 4506 lineto 6059 958 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -323 -380 -321 -380 -320 -377 -318 -373 -318 -373 -317 -370 -193 -142 -169 -94 -168 -94 -168 -94 -36 153 240 670 245 681 368 908 368 909 371 913 524 1201 652 1436 678 1487 678 1487 680 1490 932 1960 934 1963 934 1963 957 2011 960 2011 960 2014 1085 2249 1085 2249 1085 2252 1088 2252 1088 2252 1088 2252 1088 2256 1088 2256 1090 2259 1090 2259 1216 2498 1216 2498 1216 2498 1218 2501 1218 2501 1218 2504 1218 2504 1239 2542 1239 2542 1239 2542 1239 2542 1344 2746 1346 2749 1346 2749 1367 2787 1367 2787 1367 2787 1367 2787 1367 2790 1367 2790 1367 2790 1367 2790 1369 2794 1369 2794 1369 2794 1369 2794 1369 2794 1369 2794 1369 2794 1369 2794 1369 2794 1369 2797 1369 2797 1372 2797 1372 2797 1372 2797 1372 2800 1372 2800 1372 2800 1495 3032 1495 3032 1495 3032 1495 3032 1495 3032 1495 3035 1495 3035 1497 3035 1497 3035 1497 3035 1497 3035 1497 3035 1497 3038 1497 3038 1497 3038 1497 3038 1500 3038 1500 3038 1500 3038 1500 3042 1500 3042 1500 3042 1500 3042 1500 3042 1500 3042 1520 3079 1520 3079 1520 3079 1520 3079 1520 3079 1523 3083 1523 3083 1523 3083 1525 3086 1525 3086 1525 3086 1525 3086 1525 3090 1525 3090 1525 3090 1525 3090 1625 3273 1625 3273 1628 3277 1628 3277 1648 3311 1648 3311 1648 3311 1648 3311 1648 3311 1648 3311 1648 3311 1648 3311 1648 3314 1648 3314 1648 3314 1648 3314 1648 3314 1648 3314 1648 3314 1648 3314 1648 3314 1648 3314 1648 3314 1648 3314 1648 3314 1648 3314 1648 3314 1651 3314 1651 3314 1651 3314 1651 3318 1651 3318 1651 3318 1651 3318 1651 3318 1651 3318 1651 3318 1651 3318 1651 3318 1651 3318 1651 3318 1651 3318 1651 3318 1651 3318 1651 3318 1651 3318 1651 3321 1651 3321 1653 3321 1653 3321 1653 3321 1653 3321 1653 3321 1653 3321 1653 3321 1653 3321 1653 3321 1653 3321 1653 3321 1653 3321 1653 3321 1653 3321 1653 3324 1653 3324 1653 3324 1776 3528 1776 3528 1776 3528 1776 3528 1776 3528 1776 3528 1776 3528 1776 3528 1776 3528 1776 3528 1776 3528 1779 3532 1779 3532 1779 3532 1779 3532 1779 3532 1779 3532 1779 3532 1779 3532 201 doline 1779 3532 1779 3532 1779 3532 1779 3532 1779 3532 1779 3532 1779 3532 1779 3532 1779 3532 1779 3532 1779 3535 1779 3535 1779 3535 1779 3535 1781 3535 1781 3535 1781 3535 1781 3535 1781 3535 1781 3535 1781 3535 1781 3535 1781 3535 1781 3539 1781 3539 1781 3539 1781 3539 1781 3539 1781 3539 1802 3566 1802 3566 1802 3566 1802 3569 1802 3569 1802 3569 1802 3569 1802 3569 1804 3569 1804 3569 1804 3573 1804 3573 1804 3573 1804 3573 1804 3573 1804 3573 1804 3573 1804 3573 1804 3573 1807 3573 1807 3576 1807 3576 1807 3576 1807 3576 1807 3576 1807 3576 1904 3712 1904 3712 1907 3716 1907 3716 1907 3719 1909 3719 1909 3719 1909 3719 1909 3719 1909 3719 1909 3719 1930 3743 1930 3743 1930 3743 1930 3743 1930 3743 1930 3743 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1930 3746 1932 3746 1932 3746 1932 3746 1932 3746 1932 3746 1932 3746 1932 3746 1932 3746 1932 3750 1932 3750 1932 3750 1932 3750 1932 3750 1932 3750 1932 3750 1932 3750 1932 3750 1932 3750 1932 3750 1932 3750 1935 3750 1935 3750 1935 3750 1935 3750 1935 3750 1935 3750 1935 3750 1935 3750 1935 3750 1935 3750 1935 3750 1935 3750 1935 3750 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 1935 3753 2058 3882 2058 3882 2058 3882 2058 3882 2058 3882 2058 3882 2058 3882 2058 3882 2058 3882 2058 3882 2058 3882 2058 3882 2058 3882 2058 3882 2058 3882 2058 3882 2058 3886 2058 3886 2058 3886 2058 3886 2058 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 2060 3886 201 doline 2060 3886 2060 3886 2063 3886 2063 3886 2063 3886 2063 3886 2063 3886 2063 3886 2063 3886 2063 3886 2063 3886 2063 3889 2063 3889 2063 3889 2063 3889 2063 3889 2063 3889 2063 3889 2063 3889 2063 3889 2063 3889 2063 3889 2063 3889 2063 3889 2084 3906 2084 3906 2084 3906 2084 3906 2084 3906 2084 3906 2084 3906 2084 3906 2084 3906 2084 3906 2084 3906 2084 3906 2084 3906 2086 3906 2086 3910 2086 3910 2086 3910 2086 3910 2086 3910 2086 3910 2086 3910 2086 3910 2088 3910 2088 3910 2088 3910 2088 3910 2088 3910 2088 3910 2088 3910 2088 3910 2088 3910 2088 3910 2088 3910 2088 3910 2088 3910 2088 3913 2088 3913 2088 3913 2088 3913 2088 3913 2186 3984 2186 3984 2186 3984 2186 3984 2188 3988 2188 3988 2188 3988 2188 3988 2191 3988 2191 3988 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2212 4001 2214 4001 2214 4001 2214 4001 2214 4001 2214 4001 2214 4001 2214 4001 2214 4001 2214 4001 2214 4001 2214 4001 2214 4001 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2214 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2216 4005 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4066 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 201 doline 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2342 4069 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4076 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2368 4080 2470 4107 2470 4107 2470 4107 2470 4107 2470 4107 2470 4107 2470 4107 2470 4107 2470 4107 2470 4107 2470 4107 2470 4107 2470 4107 2470 4107 2470 4107 2470 4107 2470 4107 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2496 4110 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 201 doline 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2624 4120 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2649 4117 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2752 4107 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4104 2777 4100 2777 4100 2777 4100 2777 4100 2777 4100 2777 4100 2777 4100 2777 4100 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 201 doline 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4069 2905 4066 2905 4066 2905 4066 2905 4066 2905 4066 2905 4066 2905 4066 2905 4066 2931 4062 2931 4062 2931 4062 2931 4062 2931 4062 2931 4062 2931 4062 2931 4062 2931 4062 2931 4062 2931 4062 2931 4059 2931 4059 2931 4059 2931 4059 2931 4059 2931 4059 2931 4059 2931 4059 2931 4059 2931 4059 2931 4059 2931 4059 2931 4059 2931 4059 2931 4059 3033 4028 3033 4028 3033 4028 3033 4028 3033 4028 3033 4028 3033 4028 3033 4025 3033 4025 3033 4025 3033 4025 3033 4025 3033 4025 3033 4025 3033 4025 3033 4025 3033 4025 3033 4025 3033 4025 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4018 3059 4015 3059 4015 3059 4015 3059 4015 3059 4015 3059 4015 3059 4015 3059 4015 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3978 3187 3974 3187 3974 3187 3974 3187 3974 3187 3974 3187 3974 3187 3974 3187 3974 3187 3974 3187 3974 3187 3974 201 doline 3187 3974 3187 3974 3187 3974 3187 3974 3187 3974 3212 3971 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3212 3967 3315 3937 3315 3937 3315 3937 3315 3937 3315 3937 3315 3937 3315 3937 3315 3937 3315 3937 3315 3937 3315 3937 3315 3937 3315 3933 3315 3933 3315 3933 3340 3930 3340 3930 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3340 3926 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3886 3468 3882 3468 3882 3494 3879 3494 3879 3494 3879 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3494 3876 3596 3842 3596 3842 3596 3842 3596 3842 3596 3842 3596 3842 3596 3842 3596 3842 3596 3842 3596 3842 3596 3842 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 201 doline 3622 3835 3622 3835 3622 3835 3622 3835 3622 3835 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3622 3831 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3787 3750 3784 3750 3784 3750 3784 3750 3784 3750 3784 3750 3784 3750 3784 3750 3784 3750 3784 3750 3784 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3776 3777 3878 3736 3878 3736 3878 3736 3878 3736 3878 3736 3878 3736 3878 3736 3878 3736 3878 3736 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 3904 3726 4032 3671 4032 3671 4032 3671 4032 3671 4032 3671 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4032 3668 4057 3658 4057 3658 4057 3658 4057 3658 4057 3658 4057 3658 4057 3658 4057 3658 4057 3658 4057 3654 4057 3654 4057 3654 4057 3654 4057 3654 4057 3654 4057 3654 201 doline 4057 3654 4160 3603 4160 3603 4160 3603 4160 3603 4160 3603 4160 3603 4160 3600 4160 3600 4160 3600 4160 3600 4160 3600 4160 3600 4160 3600 4160 3600 4160 3600 4185 3590 4185 3590 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3586 4185 3583 4185 3583 4313 3512 4313 3512 4313 3512 4313 3512 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3508 4313 3504 4313 3504 4313 3504 4313 3504 4339 3494 4339 3494 4339 3491 4339 3491 4339 3491 4339 3491 4339 3491 4339 3491 4441 3426 4441 3426 4441 3426 4441 3426 4441 3423 4441 3423 4467 3413 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3409 4467 3406 4467 3406 4467 3406 4467 3406 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3331 4595 3328 4595 3328 4595 3328 4595 3328 4595 3328 4595 3328 4620 3318 4620 3318 4620 3318 4620 3318 4620 3314 4620 3314 4723 3260 4723 3260 4723 3256 4723 3256 4723 3256 4723 3256 4723 3256 4723 3256 4748 3246 4748 3246 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3243 4748 3239 4876 3181 4876 3181 4876 3181 4876 3181 4876 3181 4876 3181 4876 3181 4876 3181 4876 3181 4876 3181 4876 3181 4876 3178 4876 3178 4876 3178 4876 3178 4876 3178 4876 3178 4876 3178 4876 3178 4876 3178 4876 3178 4876 3178 4876 3178 201 doline 4876 3178 4876 3178 4876 3178 4876 3178 4876 3178 4902 3168 4902 3168 4902 3168 5004 3130 5004 3130 5004 3130 5004 3130 5004 3130 5004 3130 5004 3130 5004 3127 5004 3127 5004 3127 5030 3120 5030 3120 5030 3120 5030 3120 5030 3120 5030 3120 5030 3120 5030 3120 5030 3120 5030 3120 5030 3120 5030 3120 5030 3120 5030 3120 5030 3120 5030 3117 5030 3117 5030 3117 5158 3076 5158 3076 5158 3076 5158 3076 5158 3076 5158 3076 5158 3076 5158 3076 5158 3076 5158 3076 5158 3076 5158 3076 5158 3076 5158 3076 5158 3076 5158 3076 5158 3072 5158 3072 5158 3072 5184 3066 5184 3066 5184 3066 5184 3066 5184 3066 5286 3032 5286 3032 5286 3032 5286 3032 5286 3032 5286 3032 5286 3032 5286 3032 5312 3025 5312 3025 5312 3025 5312 3025 5312 3025 5312 3025 5312 3025 5312 3025 5312 3025 5312 3022 5440 2984 5440 2984 5440 2981 5440 2981 5440 2981 5440 2981 5440 2981 5440 2981 5440 2981 5440 2981 5440 2981 5440 2981 5440 2981 5440 2981 5465 2974 5465 2974 5568 2943 5568 2940 5568 2940 5593 2936 5593 2936 5593 2936 5593 2936 5593 2936 5593 2936 5593 2936 5593 2936 5593 2936 5593 2936 5593 2936 5593 2936 5593 2933 5593 2933 5593 2933 5593 2933 5721 2906 5721 2906 5721 2906 5721 2906 5721 2906 5721 2906 5721 2906 5721 2906 5721 2906 5721 2906 5721 2906 5721 2906 5721 2906 5721 2906 5747 2902 5747 2902 5849 2889 5849 2889 5849 2889 5849 2889 5849 2889 5849 2889 5849 2889 5849 2889 5875 2889 5875 2889 5875 2889 5875 2889 5875 2889 5875 2889 5875 2889 5875 2889 5875 2889 5875 2889 5875 2889 5875 2889 5875 2889 5875 2889 5875 2889 5875 2889 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6003 2896 6028 2902 6028 2902 6028 2902 6028 2902 6131 2930 6131 2930 6131 2930 6156 2940 6156 2940 6156 2940 6156 2940 6156 2940 6156 2940 6156 2940 6156 2940 6156 2940 6156 2940 6284 3004 6284 3004 6284 3004 6284 3004 6284 3004 6284 3004 6284 3004 6284 3004 6284 3004 6284 3004 6284 3008 201 doline 6284 3008 6284 3008 6310 3022 6412 3090 6412 3090 6412 3093 6412 3093 6438 3110 6438 3110 6438 3110 6438 3110 6438 3110 6438 3110 6438 3113 6438 3113 6438 3113 6566 3212 6566 3212 6566 3212 6566 3212 6566 3212 6566 3212 6566 3212 6566 3215 6566 3215 6566 3215 6566 3215 6592 3232 6694 3318 6720 3331 6720 3331 6720 3331 6720 3331 6720 3331 6720 3334 6720 3334 6720 3334 6720 3334 6720 3334 6720 3334 6720 3334 6720 3334 6720 3334 6720 3334 6848 3423 6848 3426 6848 3426 6848 3426 6848 3426 6848 3430 6848 3430 6873 3447 6976 3512 6976 3512 6976 3512 7001 3525 7001 3528 7001 3528 7001 3528 7129 3600 7129 3600 7129 3603 7129 3603 7129 3603 7129 3603 7129 3603 7129 3603 7257 3661 7257 3661 7257 3661 7257 3661 7257 3664 7283 3671 7283 3671 7283 3671 7283 3671 7283 3671 7283 3675 7283 3675 7283 3675 7283 3675 7283 3675 7411 3712 7411 3712 7411 3712 7411 3712 7411 3712 7411 3712 7411 3712 7436 3719 7539 3736 7539 3736 7564 3739 7564 3739 7692 3743 7692 3743 7692 3743 7692 3743 7692 3743 7692 3743 7692 3743 7692 3743 7820 3739 7846 3736 7846 3736 7846 3736 7974 3722 7974 3722 7974 3722 8000 3719 8102 3698 8102 3695 8102 3695 8102 3695 8128 3692 8128 3692 8128 3692 8128 3692 8128 3692 8128 3692 8128 3692 8256 3658 8256 3658 8256 3658 8256 3658 8256 3658 8256 3658 8384 3620 8384 3617 8384 3617 8409 3610 8409 3610 8409 3610 8537 3562 8665 3515 8665 3515 8665 3515 8665 3515 8665 3515 8665 3515 8691 3504 8691 3504 8691 3504 8691 3501 8691 3501 8819 3450 8819 3450 8819 3450 8819 3450 8819 3450 8819 3450 8819 3447 8819 3447 8844 3440 8947 3396 8947 3396 8947 3396 8972 3386 8972 3386 8972 3382 9100 3328 9100 3328 9100 3328 9100 3328 9228 3270 9382 3202 9382 3202 9382 3198 9382 3198 9510 3144 9510 3144 9510 3144 9536 3137 9664 3086 9664 3083 9664 3083 9792 3038 9792 3038 9792 3038 9817 3028 9945 2988 9945 2988 9945 2988 9945 2988 9945 2988 9945 2988 10073 2947 10201 2906 10227 2899 10227 2896 10227 2896 10227 2896 10227 2896 10355 2855 10355 2855 10355 2855 10380 2844 10508 2804 10508 2804 10636 2763 10636 2763 201 doline 10636 2763 10662 2756 10790 2719 10790 2719 10918 2685 10944 2678 11200 2613 11225 2606 11353 2576 11353 2576 11481 2545 11481 2545 11481 2542 11507 2538 11507 2538 11763 2470 11891 2433 11916 2426 11916 2426 11916 2423 12044 2382 12198 2327 12326 2276 12326 2273 12352 2263 12608 2137 12633 2127 12761 2048 12761 2048 12889 1967 13043 1861 13196 1746 13299 1671 13452 1552 13478 1528 13478 1528 13606 1429 13734 1327 13734 1324 14016 1105 14041 1086 14425 809 14425 808 14451 793 14579 714 14579 712 14604 696 14732 621 14732 620 14860 555 14860 551 15014 480 15142 429 15168 419 15270 384 15705 293 15833 282 16268 306 16985 521 17267 662 17523 815 17548 835 19084 2232 19212 2382 19238 2416 19520 2760 24998 11745 67 doline grestore % end of clipping % Data Set 2: gsave newpath 935 958 moveto 935 4506 lineto 6059 4506 lineto 6059 958 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -323 -1588 -321 -1581 -320 -1578 -318 -1571 -318 -1571 -317 -1568 -193 -1224 -169 -1156 -168 -1156 -168 -1152 -36 -799 240 -111 245 -94 368 191 368 191 371 198 524 558 652 849 678 910 678 911 680 915 932 1480 934 1487 934 1487 957 1542 960 1545 960 1545 1085 1831 1085 1834 1085 1834 1088 1838 1088 1838 1088 1838 1088 1838 1088 1841 1090 1844 1090 1844 1216 2127 1216 2130 1216 2130 1218 2134 1218 2134 1218 2137 1218 2137 1239 2181 1239 2181 1239 2181 1239 2181 1344 2423 1346 2426 1346 2426 1367 2470 1367 2470 1367 2470 1367 2470 1367 2470 1367 2474 1367 2474 1367 2474 1369 2477 1369 2477 1369 2477 1369 2477 1369 2477 1369 2477 1369 2477 1369 2477 1369 2480 1369 2480 1369 2480 1372 2480 1372 2484 1372 2484 1372 2484 1372 2484 1372 2487 1495 2753 1495 2753 1495 2753 1495 2753 1495 2753 1495 2756 1495 2756 1497 2760 1497 2760 1497 2760 1497 2760 1497 2760 1497 2760 1497 2763 1497 2763 1497 2763 1500 2763 1500 2763 1500 2763 1500 2766 1500 2766 1500 2766 1500 2766 1500 2766 1500 2766 1520 2807 1520 2810 1520 2810 1520 2810 1520 2810 1523 2814 1523 2814 1523 2814 1525 2817 1525 2817 1525 2817 1525 2817 1525 2821 1525 2821 1525 2821 1525 2821 1625 3028 1625 3028 1628 3032 1628 3035 1648 3072 1648 3072 1648 3072 1648 3072 1648 3072 1648 3072 1648 3072 1648 3072 1648 3076 1648 3076 1648 3076 1648 3076 1648 3076 1648 3076 1648 3076 1648 3076 1648 3076 1648 3076 1648 3076 1648 3076 1648 3076 1648 3076 1648 3076 1651 3076 1651 3079 1651 3079 1651 3079 1651 3079 1651 3079 1651 3079 1651 3079 1651 3079 1651 3079 1651 3079 1651 3079 1651 3079 1651 3079 1651 3079 1651 3083 1651 3083 1651 3083 1651 3083 1651 3083 1651 3083 1653 3083 1653 3083 1653 3083 1653 3083 1653 3083 1653 3083 1653 3083 1653 3083 1653 3083 1653 3083 1653 3086 1653 3086 1653 3086 1653 3086 1653 3086 1653 3086 1653 3086 1776 3314 1776 3314 1776 3314 1776 3314 1776 3314 1776 3314 1776 3314 1776 3314 1776 3314 1776 3314 1776 3314 1779 3318 1779 3318 1779 3318 1779 3318 1779 3318 1779 3318 1779 3318 1779 3318 201 doline 1779 3318 1779 3318 1779 3318 1779 3318 1779 3318 1779 3318 1779 3318 1779 3321 1779 3321 1779 3321 1779 3321 1779 3321 1779 3321 1779 3321 1781 3321 1781 3321 1781 3321 1781 3321 1781 3321 1781 3324 1781 3324 1781 3324 1781 3324 1781 3324 1781 3324 1781 3324 1781 3324 1781 3324 1781 3324 1802 3358 1802 3358 1802 3358 1802 3358 1802 3358 1802 3358 1802 3358 1802 3358 1804 3362 1804 3362 1804 3362 1804 3362 1804 3362 1804 3362 1804 3362 1804 3362 1804 3365 1804 3365 1804 3365 1807 3365 1807 3365 1807 3365 1807 3365 1807 3365 1807 3368 1807 3368 1904 3515 1904 3518 1907 3518 1907 3522 1907 3522 1909 3522 1909 3525 1909 3525 1909 3525 1909 3525 1909 3525 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1930 3552 1932 3552 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1932 3556 1935 3556 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 1935 3559 2058 3698 2058 3698 2058 3698 2058 3698 2058 3702 2058 3702 2058 3702 2058 3702 2058 3702 2058 3702 2058 3702 2058 3702 2058 3702 2058 3702 2058 3702 2058 3702 2058 3702 2058 3702 2058 3702 2058 3702 2058 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3702 2060 3705 2060 3705 2060 3705 2060 3705 2060 3705 2060 3705 2060 3705 2060 3705 201 doline 2060 3705 2060 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2063 3705 2084 3726 2084 3726 2084 3726 2084 3726 2084 3726 2084 3726 2084 3726 2084 3726 2084 3726 2084 3726 2084 3726 2084 3726 2084 3726 2086 3726 2086 3726 2086 3726 2086 3726 2086 3729 2086 3729 2086 3729 2086 3729 2086 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3729 2088 3732 2186 3808 2186 3811 2186 3811 2186 3811 2188 3811 2188 3811 2188 3811 2188 3811 2191 3811 2191 3814 2212 3824 2212 3824 2212 3824 2212 3824 2212 3824 2212 3824 2212 3824 2212 3824 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2212 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2214 3828 2216 3828 2216 3828 2216 3828 2216 3828 2216 3828 2216 3828 2216 3828 2216 3828 2216 3828 2216 3828 2216 3831 2216 3831 2216 3831 2216 3831 2216 3831 2216 3831 2216 3831 2216 3831 2216 3831 2216 3831 2216 3831 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 201 doline 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3896 2342 3899 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2368 3906 2470 3933 2470 3933 2470 3933 2470 3933 2470 3933 2470 3933 2470 3933 2470 3933 2470 3933 2470 3933 2470 3933 2470 3933 2470 3933 2470 3933 2470 3937 2470 3937 2470 3937 2496 3937 2496 3937 2496 3937 2496 3937 2496 3937 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2496 3940 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 201 doline 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2624 3947 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2649 3944 2752 3933 2752 3933 2752 3933 2752 3933 2752 3933 2752 3930 2752 3930 2752 3930 2752 3930 2752 3930 2752 3930 2752 3930 2752 3930 2752 3930 2752 3930 2752 3930 2752 3930 2752 3930 2752 3930 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2777 3926 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 201 doline 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3889 2905 3886 2905 3886 2905 3886 2905 3886 2905 3886 2905 3886 2905 3886 2905 3886 2905 3886 2905 3886 2905 3886 2905 3886 2905 3886 2905 3886 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 2931 3879 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3842 3033 3838 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3059 3831 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3787 3187 3784 3187 3784 3187 3784 3187 3784 3187 3784 3187 3784 3187 3784 3187 3784 3187 3784 3187 3784 3187 3784 3187 3784 3187 3784 3187 3784 3187 3784 201 doline 3187 3784 3187 3784 3187 3784 3187 3784 3187 3784 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3212 3777 3315 3743 3315 3743 3315 3739 3315 3739 3315 3739 3315 3739 3315 3739 3315 3739 3315 3739 3315 3739 3315 3739 3315 3739 3315 3739 3315 3739 3315 3739 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3732 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3340 3729 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3685 3468 3682 3468 3682 3468 3682 3468 3682 3468 3682 3468 3682 3468 3682 3468 3682 3468 3682 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3494 3675 3596 3637 3596 3637 3596 3637 3596 3637 3596 3634 3596 3634 3596 3634 3596 3634 3596 3634 3596 3634 3596 3634 3622 3627 3622 3627 3622 3627 3622 3627 3622 3627 3622 3627 3622 3627 3622 3627 3622 3627 3622 3627 3622 3627 3622 3627 3622 3627 3622 3627 3622 3627 3622 3627 3622 3627 201 doline 3622 3627 3622 3627 3622 3627 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3622 3624 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3573 3750 3569 3750 3569 3750 3569 3750 3569 3750 3569 3750 3569 3750 3569 3750 3569 3776 3562 3776 3562 3776 3562 3776 3562 3776 3562 3776 3562 3776 3562 3776 3562 3776 3562 3776 3562 3776 3562 3776 3562 3776 3562 3776 3562 3776 3559 3776 3559 3776 3559 3776 3559 3776 3559 3776 3559 3776 3559 3776 3559 3776 3559 3776 3559 3776 3559 3878 3518 3878 3515 3878 3515 3878 3515 3878 3515 3878 3515 3878 3515 3878 3515 3878 3515 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3504 3904 3501 3904 3501 3904 3501 3904 3501 3904 3501 3904 3501 3904 3501 3904 3501 3904 3501 3904 3501 3904 3501 3904 3501 3904 3501 3904 3501 4032 3440 4032 3440 4032 3440 4032 3440 4032 3440 4032 3440 4032 3440 4032 3440 4032 3440 4032 3440 4032 3440 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4032 3436 4057 3426 4057 3426 4057 3426 4057 3426 4057 3426 4057 3426 4057 3426 4057 3423 4057 3423 4057 3423 4057 3423 4057 3423 4057 3423 4057 3423 4057 3423 4057 3423 201 doline 4057 3423 4160 3365 4160 3365 4160 3365 4160 3362 4160 3362 4160 3362 4160 3362 4160 3362 4160 3362 4160 3362 4160 3362 4160 3362 4160 3362 4160 3362 4160 3362 4185 3348 4185 3348 4185 3348 4185 3348 4185 3348 4185 3348 4185 3348 4185 3348 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4185 3345 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3260 4313 3256 4313 3256 4313 3256 4313 3256 4313 3256 4313 3256 4339 3243 4339 3243 4339 3243 4339 3243 4339 3239 4339 3239 4339 3239 4339 3239 4441 3171 4441 3171 4441 3168 4441 3168 4441 3164 4441 3164 4467 3151 4467 3151 4467 3151 4467 3151 4467 3151 4467 3151 4467 3151 4467 3151 4467 3151 4467 3151 4467 3151 4467 3151 4467 3151 4467 3151 4467 3151 4467 3151 4467 3151 4467 3147 4467 3147 4467 3147 4467 3147 4467 3147 4467 3147 4467 3147 4467 3147 4467 3147 4467 3147 4595 3066 4595 3066 4595 3066 4595 3066 4595 3066 4595 3066 4595 3066 4595 3066 4595 3066 4595 3062 4595 3062 4595 3062 4595 3062 4595 3062 4595 3062 4595 3062 4595 3062 4595 3062 4595 3062 4595 3062 4595 3062 4595 3062 4595 3062 4595 3062 4595 3062 4620 3049 4620 3049 4620 3049 4620 3049 4620 3045 4620 3045 4723 2984 4723 2984 4723 2984 4723 2981 4723 2981 4723 2981 4723 2981 4723 2981 4748 2967 4748 2967 4748 2967 4748 2967 4748 2967 4748 2967 4748 2967 4748 2967 4748 2967 4748 2967 4748 2967 4748 2967 4748 2967 4748 2967 4748 2967 4748 2967 4748 2964 4748 2964 4748 2964 4748 2964 4748 2964 4748 2964 4748 2964 4748 2964 4748 2964 4748 2964 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2896 4876 2892 4876 2892 4876 2892 201 doline 4876 2892 4876 2892 4876 2892 4876 2892 4876 2892 4902 2882 4902 2882 4902 2882 5004 2838 5004 2838 5004 2838 5004 2834 5004 2834 5004 2834 5004 2834 5004 2834 5004 2834 5004 2834 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5030 2824 5158 2773 5158 2773 5158 2773 5158 2773 5158 2773 5158 2773 5158 2773 5158 2770 5158 2770 5158 2770 5158 2770 5158 2770 5158 2770 5158 2770 5158 2770 5158 2770 5158 2770 5158 2770 5158 2770 5184 2763 5184 2763 5184 2763 5184 2763 5184 2760 5286 2722 5286 2722 5286 2722 5286 2722 5286 2722 5286 2722 5286 2719 5286 2719 5312 2712 5312 2712 5312 2712 5312 2712 5312 2712 5312 2712 5312 2712 5312 2712 5312 2712 5312 2708 5440 2664 5440 2664 5440 2664 5440 2661 5440 2661 5440 2661 5440 2661 5440 2661 5440 2661 5440 2661 5440 2661 5440 2661 5440 2661 5440 2661 5465 2654 5465 2650 5568 2616 5568 2616 5568 2616 5593 2610 5593 2610 5593 2610 5593 2610 5593 2610 5593 2610 5593 2610 5593 2610 5593 2610 5593 2610 5593 2610 5593 2610 5593 2606 5593 2606 5593 2606 5593 2606 5721 2576 5721 2576 5721 2576 5721 2576 5721 2576 5721 2576 5721 2576 5721 2576 5721 2572 5721 2572 5721 2572 5721 2572 5721 2572 5721 2572 5747 2569 5747 2569 5849 2552 5849 2552 5849 2552 5849 2552 5849 2552 5849 2552 5849 2552 5849 2552 5875 2552 5875 2552 5875 2552 5875 2552 5875 2552 5875 2552 5875 2552 5875 2552 5875 2552 5875 2552 5875 2552 5875 2552 5875 2552 5875 2552 5875 2552 5875 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6003 2552 6028 2555 6028 2555 6028 2555 6028 2555 6131 2576 6131 2576 6131 2579 6156 2586 6156 2586 6156 2586 6156 2586 6156 2586 6156 2586 6156 2586 6156 2586 6156 2586 6156 2586 6284 2640 6284 2640 6284 2640 6284 2640 6284 2640 6284 2640 6284 2640 6284 2640 6284 2640 6284 2640 6284 2640 201 doline 6284 2640 6284 2640 6310 2654 6412 2715 6412 2715 6412 2719 6412 2719 6438 2732 6438 2732 6438 2732 6438 2732 6438 2736 6438 2736 6438 2736 6438 2736 6438 2736 6566 2824 6566 2824 6566 2824 6566 2828 6566 2828 6566 2828 6566 2828 6566 2828 6566 2828 6566 2828 6566 2828 6592 2844 6694 2919 6720 2933 6720 2933 6720 2933 6720 2933 6720 2933 6720 2933 6720 2933 6720 2936 6720 2936 6720 2936 6720 2936 6720 2936 6720 2936 6720 2936 6720 2936 6848 3018 6848 3018 6848 3018 6848 3018 6848 3018 6848 3022 6848 3022 6873 3035 6976 3093 6976 3093 6976 3093 7001 3106 7001 3106 7001 3106 7001 3110 7129 3171 7129 3171 7129 3171 7129 3171 7129 3171 7129 3171 7129 3171 7129 3171 7257 3219 7257 3219 7257 3222 7257 3222 7257 3222 7283 3229 7283 3229 7283 3229 7283 3229 7283 3229 7283 3229 7283 3229 7283 3229 7283 3229 7283 3229 7411 3260 7411 3260 7411 3260 7411 3260 7411 3260 7411 3260 7411 3260 7436 3263 7539 3270 7539 3273 7564 3273 7564 3273 7692 3270 7692 3270 7692 3270 7692 3270 7692 3270 7692 3270 7692 3270 7692 3270 7820 3256 7846 3253 7846 3253 7846 3253 7974 3229 7974 3229 7974 3229 8000 3226 8102 3202 8102 3202 8102 3202 8102 3202 8128 3195 8128 3195 8128 3195 8128 3195 8128 3195 8128 3195 8128 3192 8256 3158 8256 3158 8256 3154 8256 3154 8256 3154 8256 3154 8384 3113 8384 3110 8384 3110 8409 3103 8409 3100 8409 3100 8537 3049 8665 2991 8665 2991 8665 2991 8665 2991 8665 2991 8665 2991 8691 2981 8691 2981 8691 2981 8691 2977 8691 2977 8819 2919 8819 2919 8819 2916 8819 2916 8819 2916 8819 2916 8819 2916 8819 2916 8844 2906 8947 2851 8947 2851 8947 2851 8972 2841 8972 2838 8972 2838 9100 2770 9100 2770 9100 2770 9100 2770 9228 2705 9382 2623 9382 2623 9382 2623 9382 2620 9510 2555 9510 2555 9510 2555 9536 2545 9664 2484 9664 2480 9664 2480 9792 2426 9792 2426 9792 2426 9817 2416 9945 2365 9945 2365 9945 2365 9945 2365 9945 2365 9945 2365 10073 2314 10201 2256 10227 2246 10227 2246 10227 2246 10227 2246 10227 2246 10355 2195 10355 2191 10355 2191 10380 2181 10508 2127 10508 2123 10636 2069 10636 2065 201 doline 10636 2065 10662 2055 10790 2008 10790 2008 10918 1963 10944 1956 11200 1872 11225 1861 11353 1817 11353 1817 11481 1773 11481 1769 11481 1769 11507 1762 11507 1762 11763 1684 11891 1644 11916 1633 11916 1633 11916 1633 12044 1586 12198 1521 12326 1453 12326 1453 12352 1439 12608 1291 12633 1278 12761 1196 12761 1195 12889 1117 13043 1015 13196 902 13299 827 13452 703 13478 678 13478 677 13606 568 13734 456 13734 453 14016 214 14041 194 14425 -67 14425 -70 14451 -84 14579 -159 14579 -162 14604 -176 14732 -254 14732 -254 14860 -329 14860 -332 15014 -424 15142 -499 15168 -513 15270 -571 15705 -758 15833 -795 16268 -850 16985 -720 17267 -612 17523 -492 17548 -476 19084 531 19212 632 19238 654 19520 882 24998 7356 67 doline grestore % end of clipping % Data Set 3: gsave newpath 935 958 moveto 935 4506 lineto 6059 4506 lineto 6059 958 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -323 822 -321 824 -320 824 -318 826 -318 826 -317 827 -193 941 -169 966 -168 966 -168 966 -36 1108 240 1450 245 1460 368 1626 368 1626 371 1630 524 1844 652 2024 678 2065 678 2065 680 2069 932 2440 934 2443 934 2443 957 2477 960 2480 960 2480 1085 2668 1085 2668 1085 2671 1088 2671 1088 2671 1088 2671 1088 2671 1088 2674 1090 2674 1090 2674 1216 2865 1216 2868 1216 2868 1218 2872 1218 2872 1218 2872 1218 2875 1239 2902 1239 2902 1239 2902 1239 2902 1344 3069 1346 3072 1346 3072 1367 3103 1367 3103 1367 3103 1367 3106 1367 3106 1367 3106 1367 3106 1367 3106 1369 3106 1369 3106 1369 3110 1369 3110 1369 3110 1369 3110 1369 3110 1369 3110 1369 3110 1369 3110 1369 3110 1372 3113 1372 3113 1372 3113 1372 3113 1372 3113 1372 3113 1495 3307 1495 3307 1495 3307 1495 3307 1495 3307 1495 3311 1495 3311 1497 3311 1497 3311 1497 3311 1497 3311 1497 3314 1497 3314 1497 3314 1497 3314 1497 3314 1500 3314 1500 3314 1500 3314 1500 3318 1500 3318 1500 3318 1500 3318 1500 3318 1500 3318 1520 3348 1520 3348 1520 3348 1520 3348 1520 3348 1523 3352 1523 3352 1523 3355 1525 3355 1525 3355 1525 3355 1525 3355 1525 3358 1525 3358 1525 3358 1525 3358 1625 3515 1625 3515 1628 3518 1628 3518 1648 3549 1648 3549 1648 3549 1648 3549 1648 3549 1648 3549 1648 3549 1648 3549 1648 3552 1648 3552 1648 3552 1648 3552 1648 3552 1648 3552 1648 3552 1648 3552 1648 3552 1648 3552 1648 3552 1648 3552 1648 3552 1648 3552 1648 3552 1651 3552 1651 3552 1651 3552 1651 3552 1651 3552 1651 3556 1651 3556 1651 3556 1651 3556 1651 3556 1651 3556 1651 3556 1651 3556 1651 3556 1651 3556 1651 3556 1651 3556 1651 3556 1651 3556 1651 3556 1651 3556 1653 3556 1653 3559 1653 3559 1653 3559 1653 3559 1653 3559 1653 3559 1653 3559 1653 3559 1653 3559 1653 3559 1653 3559 1653 3559 1653 3559 1653 3559 1653 3559 1653 3559 1776 3739 1776 3739 1776 3739 1776 3743 1776 3743 1776 3743 1776 3743 1776 3743 1776 3743 1776 3743 1776 3743 1779 3743 1779 3743 1779 3743 1779 3743 1779 3743 1779 3743 1779 3746 1779 3746 201 doline 1779 3746 1779 3746 1779 3746 1779 3746 1779 3746 1779 3746 1779 3746 1779 3746 1779 3746 1779 3746 1779 3746 1779 3746 1779 3746 1779 3746 1781 3746 1781 3746 1781 3746 1781 3746 1781 3750 1781 3750 1781 3750 1781 3750 1781 3750 1781 3750 1781 3750 1781 3750 1781 3750 1781 3750 1781 3750 1802 3777 1802 3777 1802 3777 1802 3777 1802 3777 1802 3777 1802 3777 1802 3777 1804 3780 1804 3780 1804 3780 1804 3780 1804 3780 1804 3780 1804 3780 1804 3780 1804 3784 1804 3784 1804 3784 1807 3784 1807 3784 1807 3784 1807 3784 1807 3784 1807 3784 1807 3787 1904 3910 1904 3910 1907 3910 1907 3913 1907 3913 1909 3913 1909 3913 1909 3916 1909 3916 1909 3916 1909 3916 1930 3937 1930 3937 1930 3937 1930 3937 1930 3937 1930 3937 1930 3937 1930 3937 1930 3937 1930 3937 1930 3937 1930 3937 1930 3937 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1930 3940 1932 3940 1932 3940 1932 3940 1932 3940 1932 3940 1932 3940 1932 3940 1932 3940 1932 3940 1932 3940 1932 3940 1932 3940 1932 3940 1932 3944 1932 3944 1932 3944 1932 3944 1932 3944 1932 3944 1932 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3944 1935 3947 1935 3947 1935 3947 1935 3947 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2058 4066 2060 4066 2060 4066 2060 4066 2060 4066 2060 4066 2060 4066 2060 4066 2060 4066 2060 4066 2060 4066 2060 4069 2060 4069 2060 4069 2060 4069 2060 4069 2060 4069 2060 4069 2060 4069 2060 4069 2060 4069 2060 4069 2060 4069 2060 4069 2060 4069 2060 4069 201 doline 2060 4069 2060 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2063 4069 2084 4086 2084 4086 2084 4086 2084 4086 2084 4086 2084 4086 2084 4086 2084 4086 2084 4086 2084 4086 2084 4086 2084 4086 2084 4086 2086 4090 2086 4090 2086 4090 2086 4090 2086 4090 2086 4090 2086 4090 2086 4090 2086 4090 2088 4090 2088 4090 2088 4090 2088 4090 2088 4090 2088 4090 2088 4090 2088 4090 2088 4090 2088 4090 2088 4093 2088 4093 2088 4093 2088 4093 2088 4093 2088 4093 2088 4093 2088 4093 2186 4161 2186 4161 2186 4161 2186 4161 2188 4161 2188 4161 2188 4165 2188 4165 2191 4165 2191 4165 2212 4175 2212 4175 2212 4175 2212 4175 2212 4175 2212 4175 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2212 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2214 4178 2216 4178 2216 4178 2216 4178 2216 4178 2216 4178 2216 4178 2216 4178 2216 4178 2216 4178 2216 4178 2216 4178 2216 4182 2216 4182 2216 4182 2216 4182 2216 4182 2216 4182 2216 4182 2216 4182 2216 4182 2216 4182 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 201 doline 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4240 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2342 4243 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2368 4250 2470 4277 2470 4277 2470 4277 2470 4277 2470 4277 2470 4277 2470 4277 2470 4277 2470 4277 2470 4277 2470 4277 2470 4277 2470 4277 2470 4277 2470 4277 2470 4277 2470 4277 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4280 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2496 4284 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 201 doline 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2624 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2649 4290 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2752 4284 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4280 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2777 4277 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 201 doline 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2905 4250 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4243 2931 4240 2931 4240 2931 4240 2931 4240 2931 4240 3033 4212 3033 4212 3033 4212 3033 4212 3033 4212 3033 4212 3033 4212 3033 4212 3033 4212 3033 4212 3033 4212 3033 4212 3033 4212 3033 4212 3033 4212 3033 4212 3033 4212 3033 4209 3033 4209 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4206 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3059 4202 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4168 3187 4165 3187 4165 3187 4165 3187 4165 201 doline 3187 4165 3187 4165 3187 4165 3187 4165 3187 4165 3212 4161 3212 4161 3212 4161 3212 4161 3212 4161 3212 4161 3212 4161 3212 4161 3212 4161 3212 4161 3212 4161 3212 4161 3212 4161 3212 4161 3212 4161 3212 4161 3212 4161 3212 4158 3212 4158 3212 4158 3212 4158 3212 4158 3212 4158 3212 4158 3212 4158 3212 4158 3315 4131 3315 4131 3315 4131 3315 4131 3315 4131 3315 4131 3315 4131 3315 4131 3315 4131 3315 4131 3315 4131 3315 4131 3315 4131 3315 4131 3315 4131 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3340 4124 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3468 4086 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4080 3494 4076 3596 4049 3596 4049 3596 4049 3596 4049 3596 4049 3596 4049 3596 4049 3596 4049 3596 4049 3596 4049 3596 4049 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 201 doline 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4042 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3622 4039 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 4001 3750 3998 3750 3998 3750 3998 3750 3998 3750 3998 3750 3998 3750 3998 3750 3998 3750 3998 3750 3998 3750 3998 3750 3998 3750 3998 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3776 3991 3878 3957 3878 3957 3878 3957 3878 3957 3878 3957 3878 3957 3878 3957 3878 3957 3878 3957 3904 3950 3904 3950 3904 3950 3904 3950 3904 3950 3904 3950 3904 3950 3904 3950 3904 3950 3904 3950 3904 3950 3904 3950 3904 3950 3904 3950 3904 3950 3904 3950 3904 3950 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 3904 3947 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3899 4032 3896 4032 3896 4057 3889 4057 3889 4057 3889 4057 3889 4057 3889 4057 3889 4057 3889 4057 3889 4057 3889 4057 3889 4057 3889 4057 3889 4057 3886 4057 3886 4057 3886 4057 3886 201 doline 4057 3886 4160 3842 4160 3842 4160 3842 4160 3842 4160 3842 4160 3842 4160 3842 4160 3842 4160 3842 4160 3838 4160 3838 4160 3838 4160 3838 4160 3838 4160 3838 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3828 4185 3824 4185 3824 4185 3824 4185 3824 4185 3824 4185 3824 4185 3824 4185 3824 4185 3824 4313 3760 4313 3760 4313 3760 4313 3760 4313 3760 4313 3760 4313 3760 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4313 3756 4339 3743 4339 3743 4339 3743 4339 3743 4339 3743 4339 3739 4339 3739 4339 3739 4441 3685 4441 3685 4441 3682 4441 3682 4441 3682 4441 3682 4467 3671 4467 3671 4467 3671 4467 3671 4467 3671 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4467 3668 4595 3600 4595 3600 4595 3600 4595 3600 4595 3600 4595 3600 4595 3600 4595 3600 4595 3600 4595 3600 4595 3600 4595 3596 4595 3596 4595 3596 4595 3596 4595 3596 4595 3596 4595 3596 4595 3596 4595 3596 4595 3596 4595 3596 4595 3596 4595 3596 4595 3596 4620 3586 4620 3586 4620 3586 4620 3586 4620 3583 4620 3583 4723 3532 4723 3532 4723 3532 4723 3532 4723 3532 4723 3532 4723 3528 4723 3528 4748 3522 4748 3522 4748 3522 4748 3522 4748 3522 4748 3522 4748 3522 4748 3522 4748 3522 4748 3518 4748 3518 4748 3518 4748 3518 4748 3518 4748 3518 4748 3518 4748 3518 4748 3518 4748 3518 4748 3518 4748 3518 4748 3518 4748 3518 4748 3518 4748 3518 4748 3518 4876 3467 4876 3467 4876 3467 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 201 doline 4876 3464 4876 3464 4876 3464 4876 3464 4876 3464 4902 3457 4902 3454 4902 3454 5004 3423 5004 3423 5004 3423 5004 3423 5004 3423 5004 3423 5004 3423 5004 3423 5004 3423 5004 3420 5030 3416 5030 3416 5030 3416 5030 3416 5030 3416 5030 3416 5030 3416 5030 3416 5030 3413 5030 3413 5030 3413 5030 3413 5030 3413 5030 3413 5030 3413 5030 3413 5030 3413 5030 3413 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5158 3379 5184 3372 5184 3372 5184 3372 5184 3372 5184 3372 5286 3345 5286 3345 5286 3345 5286 3345 5286 3345 5286 3345 5286 3345 5286 3345 5312 3338 5312 3338 5312 3338 5312 3338 5312 3338 5312 3338 5312 3338 5312 3338 5312 3338 5312 3334 5440 3304 5440 3304 5440 3300 5440 3300 5440 3300 5440 3300 5440 3300 5440 3300 5440 3300 5440 3300 5440 3300 5440 3300 5440 3300 5440 3300 5465 3294 5465 3294 5568 3270 5568 3266 5568 3266 5593 3263 5593 3263 5593 3263 5593 3263 5593 3263 5593 3263 5593 3263 5593 3263 5593 3263 5593 3263 5593 3260 5593 3260 5593 3260 5593 3260 5593 3260 5593 3260 5721 3239 5721 3239 5721 3236 5721 3236 5721 3236 5721 3236 5721 3236 5721 3236 5721 3236 5721 3236 5721 3236 5721 3236 5721 3236 5721 3236 5747 3232 5747 3232 5849 3226 5849 3226 5849 3226 5849 3226 5849 3226 5849 3226 5849 3226 5849 3226 5875 3229 5875 3229 5875 3229 5875 3229 5875 3229 5875 3229 5875 3229 5875 3229 5875 3229 5875 3229 5875 3229 5875 3229 5875 3229 5875 3229 5875 3229 5875 3229 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6003 3243 6028 3246 6028 3250 6028 3250 6028 3250 6131 3284 6131 3284 6131 3284 6156 3294 6156 3294 6156 3297 6156 3297 6156 3297 6156 3297 6156 3297 6156 3297 6156 3297 6156 3297 6284 3368 6284 3368 6284 3368 6284 3368 6284 3368 6284 3368 6284 3368 6284 3372 6284 3372 6284 3372 6284 3372 201 doline 6284 3372 6284 3372 6310 3389 6412 3464 6412 3464 6412 3467 6412 3470 6438 3484 6438 3484 6438 3484 6438 3484 6438 3488 6438 3488 6438 3488 6438 3491 6438 3491 6566 3596 6566 3596 6566 3596 6566 3600 6566 3600 6566 3600 6566 3600 6566 3600 6566 3600 6566 3600 6566 3603 6592 3620 6694 3712 6720 3729 6720 3729 6720 3729 6720 3729 6720 3732 6720 3732 6720 3732 6720 3732 6720 3732 6720 3732 6720 3732 6720 3732 6720 3732 6720 3736 6720 3736 6848 3831 6848 3835 6848 3835 6848 3835 6848 3838 6848 3838 6848 3838 6873 3858 6976 3930 6976 3930 6976 3930 7001 3947 7001 3947 7001 3947 7001 3950 7129 4032 7129 4032 7129 4032 7129 4032 7129 4035 7129 4035 7129 4035 7129 4035 7257 4104 7257 4104 7257 4104 7257 4104 7257 4104 7283 4117 7283 4117 7283 4117 7283 4117 7283 4117 7283 4117 7283 4117 7283 4117 7283 4117 7283 4117 7411 4168 7411 4168 7411 4168 7411 4168 7411 4168 7411 4168 7411 4168 7436 4175 7539 4199 7539 4199 7564 4202 7564 4206 7692 4219 7692 4219 7692 4219 7692 4219 7692 4219 7692 4219 7692 4219 7692 4219 7820 4222 7846 4222 7846 4222 7846 4222 7974 4212 7974 4212 7974 4212 8000 4209 8102 4192 8102 4192 8102 4192 8102 4192 8128 4188 8128 4188 8128 4188 8128 4188 8128 4188 8128 4188 8128 4188 8256 4161 8256 4161 8256 4161 8256 4161 8256 4161 8256 4161 8384 4127 8384 4124 8384 4124 8409 4117 8409 4117 8409 4117 8537 4080 8665 4039 8665 4039 8665 4035 8665 4035 8665 4035 8665 4035 8691 4028 8691 4028 8691 4028 8691 4028 8691 4025 8819 3984 8819 3984 8819 3984 8819 3984 8819 3984 8819 3981 8819 3981 8819 3981 8844 3974 8947 3937 8947 3937 8947 3937 8972 3930 8972 3930 8972 3926 9100 3882 9100 3882 9100 3882 9100 3882 9228 3838 9382 3780 9382 3780 9382 3777 9382 3777 9510 3736 9510 3732 9510 3732 9536 3726 9664 3688 9664 3685 9664 3685 9792 3651 9792 3651 9792 3651 9817 3641 9945 3610 9945 3610 9945 3610 9945 3610 9945 3610 9945 3610 10073 3583 10201 3556 10227 3549 10227 3549 10227 3549 10227 3549 10227 3549 10355 3518 10355 3518 10355 3518 10380 3512 10508 3484 10508 3484 10636 3460 10636 3457 201 doline 10636 3457 10662 3454 10790 3430 10790 3430 10918 3402 10944 3399 11200 3355 11225 3352 11353 3334 11353 3334 11481 3318 11481 3318 11481 3318 11507 3314 11507 3311 11763 3256 11891 3222 11916 3215 11916 3215 11916 3215 12044 3178 12198 3134 12326 3096 12326 3093 12352 3086 12608 2984 12633 2974 12761 2899 12761 2899 12889 2817 13043 2708 13196 2589 13299 2514 13452 2402 13478 2378 13478 2378 13606 2290 13734 2198 13734 2198 14016 1994 14041 1977 14425 1688 14425 1688 14451 1671 14579 1589 14579 1586 14604 1569 14732 1497 14732 1497 14860 1439 14860 1436 15014 1385 15142 1358 15168 1351 15270 1337 15705 1344 15833 1361 16268 1460 16985 1766 17267 1936 17523 2120 17548 2144 19084 3930 19212 4131 19238 4175 19520 4634 24998 16134 67 doline grestore % end of clipping % No data in this line % No data in this line % No data in this line /fontsiz 457 def /spacesiz 30 def /fontsiz 457 def /spacesiz 30 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 38 def /txtpos [0.50 0.50] def 3659 -129 (Time \(s\)) sprnt /txtpos [0.00 0.00] def /fontsiz 343 def /spacesiz 22 def /fontsiz 343 def /spacesiz 22 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 28 def /txtpos [0.50 1.00] def 960 697 (0.5) sprnt 2240 697 (1.0) sprnt 3520 697 (1.5) sprnt 4800 697 (2.0) sprnt 6080 697 (2.5) sprnt /txtpos [1.00 0.35] def 697 960 (0.0) sprnt 697 2661 (0.5) sprnt 697 4362 (1.0) sprnt /fontsiz 457 def /spacesiz 30 def /fontsiz 457 def /spacesiz 30 def /mainfont /Times-Italic def mainfont findfont fontsiz scalefont setfont /txtspace 38 def /txtpos [0.50 1.00] def -473 -241 (c) sprnt 7617 -241 (e) sprnt /fontsiz 457 def /spacesiz 30 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtpath 90 def /subfont mainfont def /foostr (2) def /subpos [0.00 0.50] def /subscale 0.65 def 7395 -2965 (Variance \(cm \)) (Variance \(cm) substr /txtpos [0.50 1.00] def 7395 -2965 (Variance \(cm \)) sprnt 7269 2864 (Bias \(cm\)) sprnt /subfont mainfont def /foostr (2) def /subpos [0.00 0.50] def /subscale 0.65 def -562 -2971 (Variance \(cm \)) (Variance \(cm) substr /txtpos [0.50 1.00] def -562 -2971 (Variance \(cm \)) sprnt -536 2864 (Bias \(cm\)) sprnt 2736 8558 (Bias \(cm\)) sprnt % Graph number 2 0 -5734 translate 6 setlinewidth solid setdash /linestyle {solid} def 960 832 6080 832 960 832 960 761 2240 832 2240 761 3520 832 3520 761 4800 832 4800 761 6080 832 6080 761 6 dopairs 832 960 832 4362 832 960 761 960 832 2094 761 2094 832 3228 761 3228 832 4362 761 4362 5 dopairs % Data Set 1: 12 setlinewidth solid setdash /linestyle {solid} def gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -323 -221 -321 -219 -320 -217 -318 -212 -318 -212 -317 -212 -193 -19 -169 18 -168 18 -168 18 -36 225 240 649 245 658 368 842 368 842 371 844 524 1073 652 1254 678 1277 678 1277 680 1277 932 1595 934 1617 934 1617 957 1640 960 1640 960 1640 1085 1776 1085 1776 1085 1776 1088 1776 1088 1776 1088 1776 1088 1776 1088 1776 1090 1776 1090 1776 1216 1912 1216 1912 1216 1912 1218 1912 1218 1912 1218 1912 1218 1912 1239 1935 1239 1935 1239 1935 1239 1935 1344 2026 1346 2026 1346 2026 1367 2048 1367 2048 1367 2048 1367 2048 1367 2048 1367 2048 1367 2048 1367 2048 1369 2048 1369 2048 1369 2048 1369 2048 1369 2048 1369 2048 1369 2048 1369 2048 1369 2048 1369 2048 1369 2048 1372 2048 1372 2048 1372 2048 1372 2048 1372 2048 1372 2048 1495 2162 1495 2162 1495 2162 1495 2162 1495 2162 1495 2162 1495 2162 1497 2162 1497 2162 1497 2162 1497 2162 1497 2162 1497 2162 1497 2162 1497 2162 1497 2162 1500 2162 1500 2162 1500 2162 1500 2162 1500 2162 1500 2162 1500 2162 1500 2162 1500 2162 1520 2184 1520 2184 1520 2184 1520 2184 1520 2184 1523 2184 1523 2184 1523 2184 1525 2184 1525 2184 1525 2184 1525 2184 1525 2184 1525 2184 1525 2184 1525 2184 1625 2275 1625 2275 1628 2275 1628 2275 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1648 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1651 2298 1653 2298 1653 2298 1653 2298 1653 2298 1653 2298 1653 2298 1653 2298 1653 2298 1653 2298 1653 2298 1653 2298 1653 2298 1653 2298 1653 2298 1653 2298 1653 2298 1653 2298 1776 2411 1776 2411 1776 2411 1776 2411 1776 2411 1776 2411 1776 2411 1776 2411 1776 2411 1776 2411 1776 2411 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 201 doline 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 1779 2411 1781 2411 1781 2411 1781 2411 1781 2411 1781 2411 1781 2411 1781 2411 1781 2411 1781 2411 1781 2411 1781 2411 1781 2411 1781 2411 1781 2411 1781 2411 1802 2434 1802 2434 1802 2434 1802 2434 1802 2434 1802 2434 1802 2434 1802 2434 1804 2434 1804 2434 1804 2434 1804 2434 1804 2434 1804 2434 1804 2434 1804 2434 1804 2434 1804 2434 1804 2434 1807 2434 1807 2434 1807 2434 1807 2434 1807 2434 1807 2434 1807 2434 1904 2502 1904 2502 1907 2502 1907 2502 1907 2502 1909 2502 1909 2502 1909 2502 1909 2502 1909 2502 1909 2502 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1930 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1932 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 1935 2524 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2058 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 2060 2638 201 doline 2060 2638 2060 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2063 2638 2084 2638 2084 2638 2084 2638 2084 2638 2084 2638 2084 2638 2084 2638 2084 2638 2084 2638 2084 2638 2084 2638 2084 2638 2084 2638 2086 2660 2086 2660 2086 2660 2086 2660 2086 2660 2086 2660 2086 2660 2086 2660 2086 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2088 2660 2186 2729 2186 2729 2186 2729 2186 2729 2188 2729 2188 2729 2188 2729 2188 2729 2191 2729 2191 2729 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2212 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2214 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2216 2751 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 201 doline 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2342 2865 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2368 2888 2470 2956 2470 2956 2470 2956 2470 2978 2470 2978 2470 2978 2470 2978 2470 2978 2470 2978 2470 2978 2470 2978 2470 2978 2470 2978 2470 2978 2470 2978 2470 2978 2470 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 2978 2496 3001 2496 3001 2496 3001 2496 3001 2496 3001 2496 3001 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 201 doline 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2624 3069 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2649 3092 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2752 3137 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2777 3160 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 201 doline 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2905 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 2931 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3033 3182 3059 3182 3059 3182 3059 3182 3059 3182 3059 3182 3059 3182 3059 3182 3059 3182 3059 3182 3059 3182 3059 3182 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3059 3160 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 201 doline 3187 3114 3187 3114 3187 3114 3187 3114 3187 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3212 3114 3315 3046 3315 3046 3315 3046 3315 3046 3315 3046 3315 3046 3315 3046 3315 3046 3315 3046 3315 3046 3315 3046 3315 3046 3315 3046 3315 3046 3315 3046 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3340 3024 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3468 2956 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3494 2933 3596 2910 3596 2910 3596 2910 3596 2910 3596 2888 3596 2888 3596 2888 3596 2888 3596 2888 3596 2888 3596 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 201 doline 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3622 2888 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3750 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3776 2865 3878 2842 3878 2842 3878 2842 3878 2842 3878 2842 3878 2842 3878 2842 3878 2842 3878 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 3904 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4032 2842 4057 2842 4057 2842 4057 2842 4057 2842 4057 2842 4057 2842 4057 2842 4057 2842 4057 2842 4057 2842 4057 2842 4057 2842 4057 2842 4057 2842 4057 2842 4057 2842 201 doline 4057 2842 4160 2865 4160 2865 4160 2865 4160 2865 4160 2865 4160 2865 4160 2865 4160 2865 4160 2865 4160 2865 4160 2865 4160 2865 4160 2865 4160 2865 4160 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4185 2865 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4313 2888 4339 2888 4339 2888 4339 2888 4339 2888 4339 2910 4339 2910 4339 2910 4339 2910 4441 2933 4441 2933 4441 2933 4441 2933 4441 2933 4441 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4467 2933 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4595 2956 4620 2956 4620 2956 4620 2956 4620 2956 4620 2978 4620 2978 4723 3001 4723 3001 4723 3001 4723 3001 4723 3001 4723 3001 4723 3001 4723 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4748 3001 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 201 doline 4876 3024 4876 3024 4876 3024 4876 3024 4876 3024 4902 3024 4902 3024 4902 3024 5004 3046 5004 3046 5004 3046 5004 3046 5004 3046 5004 3046 5004 3046 5004 3046 5004 3046 5004 3046 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5030 3069 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5158 3092 5184 3092 5184 3092 5184 3092 5184 3092 5184 3092 5286 3137 5286 3137 5286 3137 5286 3137 5286 3137 5286 3137 5286 3137 5286 3137 5312 3137 5312 3137 5312 3137 5312 3137 5312 3137 5312 3137 5312 3137 5312 3137 5312 3137 5312 3137 5440 3160 5440 3160 5440 3160 5440 3160 5440 3160 5440 3160 5440 3160 5440 3160 5440 3160 5440 3160 5440 3160 5440 3160 5440 3160 5440 3160 5465 3182 5465 3182 5568 3205 5568 3205 5568 3205 5593 3205 5593 3205 5593 3205 5593 3205 5593 3205 5593 3205 5593 3205 5593 3205 5593 3205 5593 3205 5593 3205 5593 3205 5593 3205 5593 3205 5593 3205 5593 3205 5721 3228 5721 3228 5721 3228 5721 3228 5721 3228 5721 3228 5721 3228 5721 3228 5721 3228 5721 3228 5721 3228 5721 3228 5721 3228 5721 3228 5747 3228 5747 3228 5849 3250 5849 3250 5849 3250 5849 3250 5849 3250 5849 3250 5849 3250 5849 3250 5875 3250 5875 3250 5875 3250 5875 3250 5875 3250 5875 3250 5875 3250 5875 3250 5875 3250 5875 3250 5875 3250 5875 3250 5875 3250 5875 3250 5875 3250 5875 3250 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6003 3273 6028 3296 6028 3296 6028 3296 6028 3296 6131 3318 6131 3318 6131 3318 6156 3341 6156 3341 6156 3341 6156 3341 6156 3341 6156 3341 6156 3341 6156 3341 6156 3341 6156 3341 6284 3386 6284 3386 6284 3386 6284 3386 6284 3386 6284 3386 6284 3386 6284 3409 6284 3409 6284 3409 6284 3409 201 doline 6284 3409 6284 3409 6310 3409 6412 3477 6412 3477 6412 3477 6412 3477 6438 3500 6438 3500 6438 3500 6438 3500 6438 3500 6438 3500 6438 3500 6438 3500 6438 3500 6566 3568 6566 3590 6566 3590 6566 3590 6566 3590 6566 3590 6566 3590 6566 3590 6566 3590 6566 3590 6566 3590 6592 3590 6694 3681 6720 3704 6720 3704 6720 3704 6720 3704 6720 3704 6720 3704 6720 3704 6720 3704 6720 3704 6720 3704 6720 3704 6720 3704 6720 3704 6720 3704 6720 3704 6848 3795 6848 3817 6848 3817 6848 3817 6848 3817 6848 3817 6848 3817 6873 3840 6976 3908 6976 3931 6976 3931 7001 3931 7001 3931 7001 3953 7001 3953 7129 4067 7129 4067 7129 4067 7129 4067 7129 4067 7129 4067 7129 4067 7129 4067 7257 4180 7257 4180 7257 4180 7257 4180 7257 4180 7283 4203 7283 4203 7283 4203 7283 4203 7283 4203 7283 4203 7283 4203 7283 4203 7283 4203 7283 4203 7411 4294 7411 4294 7411 4294 7411 4294 7411 4294 7411 4294 7411 4294 7436 4316 7539 4384 7539 4384 7564 4407 7564 4407 7692 4475 7692 4475 7692 4475 7692 4475 7692 4475 7692 4475 7692 4475 7692 4475 7820 4520 7846 4520 7846 4520 7846 4520 7974 4543 7974 4543 7974 4543 8000 4543 8102 4543 8102 4543 8102 4543 8102 4543 8128 4543 8128 4543 8128 4543 8128 4543 8128 4543 8128 4543 8128 4543 8256 4543 8256 4543 8256 4543 8256 4543 8256 4543 8256 4543 8384 4543 8384 4543 8384 4543 8409 4543 8409 4543 8409 4543 8537 4520 8665 4498 8665 4498 8665 4498 8665 4498 8665 4498 8665 4498 8691 4498 8691 4498 8691 4498 8691 4498 8691 4498 8819 4452 8819 4452 8819 4452 8819 4452 8819 4452 8819 4452 8819 4452 8819 4452 8844 4452 8947 4407 8947 4407 8947 4407 8972 4407 8972 4407 8972 4407 9100 4339 9100 4339 9100 4339 9100 4339 9228 4271 9382 4180 9382 4158 9382 4158 9382 4158 9510 4044 9510 4044 9510 4044 9536 4021 9664 3885 9664 3885 9664 3885 9792 3726 9792 3726 9792 3726 9817 3681 9945 3500 9945 3500 9945 3500 9945 3500 9945 3500 9945 3500 10073 3318 10201 3137 10227 3114 10227 3114 10227 3114 10227 3114 10227 3114 10355 2956 10355 2956 10355 2956 10380 2910 10508 2774 10508 2774 10636 2638 10636 2638 201 doline 10636 2638 10662 2615 10790 2524 10790 2524 10918 2434 10944 2411 11200 2275 11225 2252 11353 2207 11353 2207 11481 2162 11481 2162 11481 2162 11507 2162 11507 2162 11763 2094 11891 2071 11916 2071 11916 2071 11916 2071 12044 2048 12198 2048 12326 2048 12326 2048 12352 2048 12608 2071 12633 2071 12761 2094 12761 2094 12889 2116 13043 2162 13196 2184 13299 2230 13452 2252 13478 2252 13478 2252 13606 2298 13734 2320 13734 2320 14016 2343 14041 2343 14425 2320 14425 2320 14451 2320 14579 2320 14579 2320 14604 2298 14732 2275 14732 2275 14860 2252 14860 2252 15014 2230 15142 2207 15168 2207 15270 2184 15705 2094 15833 2071 16268 1980 16985 1822 17267 1776 17523 1731 17548 1708 19084 1436 19212 1413 19238 1390 19520 1345 24998 746 67 doline grestore % end of clipping % Data Set 2: gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -323 -1884 -321 -1879 -320 -1877 -318 -1870 -318 -1868 -317 -1866 -193 -1513 -169 -1445 -168 -1444 -168 -1444 -36 -1090 240 -428 245 -414 368 -149 368 -146 371 -142 524 182 652 436 678 488 678 488 680 490 932 942 934 946 934 946 957 982 960 982 960 982 1085 1186 1085 1209 1085 1209 1088 1209 1088 1209 1088 1209 1088 1209 1088 1209 1090 1209 1090 1209 1216 1390 1216 1390 1216 1390 1218 1390 1218 1390 1218 1390 1218 1390 1239 1436 1239 1436 1239 1436 1239 1436 1344 1572 1346 1572 1346 1572 1367 1617 1367 1617 1367 1617 1367 1617 1367 1617 1367 1617 1367 1617 1367 1617 1369 1617 1369 1617 1369 1617 1369 1617 1369 1617 1369 1617 1369 1617 1369 1617 1369 1617 1369 1617 1369 1617 1372 1617 1372 1617 1372 1617 1372 1617 1372 1617 1372 1617 1495 1776 1495 1776 1495 1776 1495 1776 1495 1776 1495 1776 1495 1776 1497 1776 1497 1776 1497 1776 1497 1776 1497 1776 1497 1776 1497 1776 1497 1776 1497 1776 1500 1776 1500 1776 1500 1776 1500 1776 1500 1776 1500 1776 1500 1776 1500 1776 1500 1776 1520 1822 1520 1822 1520 1822 1520 1822 1520 1822 1523 1822 1523 1822 1523 1822 1525 1822 1525 1822 1525 1822 1525 1822 1525 1822 1525 1822 1525 1822 1525 1822 1625 1935 1625 1935 1628 1935 1628 1935 1648 1958 1648 1958 1648 1958 1648 1958 1648 1958 1648 1958 1648 1958 1648 1980 1648 1980 1648 1980 1648 1980 1648 1980 1648 1980 1648 1980 1648 1980 1648 1980 1648 1980 1648 1980 1648 1980 1648 1980 1648 1980 1648 1980 1648 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1651 1980 1653 1980 1653 1980 1653 1980 1653 1980 1653 1980 1653 1980 1653 1980 1653 1980 1653 1980 1653 1980 1653 1980 1653 1980 1653 1980 1653 1980 1653 1980 1653 1980 1653 1980 1776 2116 1776 2116 1776 2116 1776 2116 1776 2116 1776 2116 1776 2116 1776 2116 1776 2116 1776 2116 1776 2116 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 201 doline 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 1779 2116 1781 2116 1781 2116 1781 2116 1781 2116 1781 2116 1781 2116 1781 2116 1781 2116 1781 2116 1781 2116 1781 2116 1781 2116 1781 2116 1781 2116 1781 2116 1802 2139 1802 2139 1802 2139 1802 2139 1802 2139 1802 2139 1802 2139 1802 2139 1804 2139 1804 2139 1804 2139 1804 2139 1804 2139 1804 2139 1804 2139 1804 2139 1804 2139 1804 2139 1804 2139 1807 2139 1807 2139 1807 2139 1807 2139 1807 2139 1807 2139 1807 2139 1904 2230 1904 2230 1907 2230 1907 2230 1907 2252 1909 2252 1909 2252 1909 2252 1909 2252 1909 2252 1909 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1930 2252 1932 2252 1932 2252 1932 2252 1932 2252 1932 2252 1932 2252 1932 2252 1932 2252 1932 2252 1932 2252 1932 2252 1932 2252 1932 2275 1932 2275 1932 2275 1932 2275 1932 2275 1932 2275 1932 2275 1932 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 1935 2275 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2058 2366 2060 2366 2060 2366 2060 2366 2060 2366 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 2060 2388 201 doline 2060 2388 2060 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2063 2388 2084 2388 2084 2388 2084 2388 2084 2388 2084 2388 2084 2388 2084 2388 2084 2388 2084 2388 2084 2388 2084 2388 2084 2388 2084 2388 2086 2411 2086 2411 2086 2411 2086 2411 2086 2411 2086 2411 2086 2411 2086 2411 2086 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2088 2411 2186 2479 2186 2502 2186 2502 2186 2502 2188 2502 2188 2502 2188 2502 2188 2502 2191 2502 2191 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2502 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2212 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2214 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2216 2524 2342 2615 2342 2615 2342 2615 2342 2615 2342 2615 2342 2615 2342 2615 2342 2615 2342 2615 2342 2615 2342 2615 2342 2615 2342 2615 2342 2615 2342 2615 2342 2615 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 201 doline 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2342 2638 2368 2638 2368 2638 2368 2638 2368 2638 2368 2638 2368 2638 2368 2638 2368 2638 2368 2638 2368 2638 2368 2638 2368 2638 2368 2638 2368 2638 2368 2638 2368 2638 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2368 2660 2470 2729 2470 2729 2470 2729 2470 2729 2470 2729 2470 2729 2470 2729 2470 2729 2470 2729 2470 2729 2470 2729 2470 2729 2470 2729 2470 2729 2470 2729 2470 2729 2470 2729 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2496 2751 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 201 doline 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2624 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2649 2842 2752 2888 2752 2888 2752 2888 2752 2888 2752 2888 2752 2888 2752 2888 2752 2910 2752 2910 2752 2910 2752 2910 2752 2910 2752 2910 2752 2910 2752 2910 2752 2910 2752 2910 2752 2910 2752 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2777 2910 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 201 doline 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2905 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 2931 2933 3033 2933 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3033 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3059 2910 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 201 doline 3187 2865 3187 2865 3187 2865 3187 2865 3187 2865 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3212 2842 3315 2774 3315 2774 3315 2774 3315 2774 3315 2774 3315 2774 3315 2774 3315 2774 3315 2774 3315 2774 3315 2774 3315 2774 3315 2774 3315 2774 3315 2774 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3340 2751 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3468 2683 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3494 2660 3596 2615 3596 2615 3596 2615 3596 2615 3596 2615 3596 2615 3596 2615 3596 2615 3596 2615 3596 2615 3596 2615 3622 2615 3622 2615 3622 2615 3622 2615 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 201 doline 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3622 2592 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3750 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3776 2570 3878 2547 3878 2547 3878 2547 3878 2547 3878 2547 3878 2547 3878 2547 3878 2547 3878 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 3904 2547 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4032 2524 4057 2524 4057 2524 4057 2524 4057 2524 4057 2524 4057 2524 4057 2524 4057 2524 4057 2524 4057 2524 4057 2524 4057 2524 4057 2524 4057 2524 4057 2524 4057 2524 201 doline 4057 2524 4160 2524 4160 2524 4160 2524 4160 2524 4160 2524 4160 2524 4160 2524 4160 2524 4160 2524 4160 2524 4160 2524 4160 2524 4160 2524 4160 2524 4160 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4185 2524 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4313 2547 4339 2547 4339 2547 4339 2547 4339 2547 4339 2547 4339 2547 4339 2547 4339 2547 4441 2570 4441 2570 4441 2570 4441 2570 4441 2570 4441 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4467 2570 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4595 2592 4620 2592 4620 2592 4620 2592 4620 2592 4620 2592 4620 2592 4723 2615 4723 2615 4723 2615 4723 2615 4723 2615 4723 2615 4723 2615 4723 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4748 2615 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 201 doline 4876 2638 4876 2638 4876 2638 4876 2638 4876 2638 4902 2638 4902 2638 4902 2638 5004 2660 5004 2660 5004 2660 5004 2660 5004 2660 5004 2660 5004 2660 5004 2660 5004 2660 5004 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5030 2660 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5158 2683 5184 2683 5184 2683 5184 2683 5184 2683 5184 2683 5286 2706 5286 2706 5286 2706 5286 2706 5286 2706 5286 2706 5286 2706 5286 2706 5312 2706 5312 2706 5312 2706 5312 2706 5312 2706 5312 2706 5312 2706 5312 2706 5312 2706 5312 2706 5440 2729 5440 2729 5440 2729 5440 2729 5440 2729 5440 2729 5440 2729 5440 2729 5440 2729 5440 2729 5440 2729 5440 2729 5440 2729 5440 2729 5465 2729 5465 2729 5568 2751 5568 2751 5568 2751 5593 2751 5593 2751 5593 2751 5593 2751 5593 2751 5593 2751 5593 2751 5593 2751 5593 2751 5593 2751 5593 2751 5593 2751 5593 2751 5593 2751 5593 2751 5593 2751 5721 2774 5721 2774 5721 2774 5721 2774 5721 2774 5721 2774 5721 2774 5721 2774 5721 2774 5721 2774 5721 2774 5721 2774 5721 2774 5721 2774 5747 2774 5747 2774 5849 2774 5849 2774 5849 2774 5849 2774 5849 2774 5849 2774 5849 2774 5849 2774 5875 2774 5875 2774 5875 2774 5875 2774 5875 2774 5875 2774 5875 2774 5875 2774 5875 2774 5875 2774 5875 2774 5875 2774 5875 2774 5875 2774 5875 2774 5875 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6003 2797 6028 2819 6028 2819 6028 2819 6028 2819 6131 2842 6131 2842 6131 2842 6156 2842 6156 2842 6156 2842 6156 2842 6156 2842 6156 2842 6156 2842 6156 2842 6156 2842 6156 2842 6284 2888 6284 2888 6284 2888 6284 2888 6284 2888 6284 2888 6284 2888 6284 2888 6284 2888 6284 2888 6284 2888 201 doline 6284 2888 6284 2888 6310 2910 6412 2956 6412 2956 6412 2956 6412 2956 6438 2978 6438 2978 6438 2978 6438 2978 6438 2978 6438 2978 6438 2978 6438 2978 6438 2978 6566 3046 6566 3046 6566 3046 6566 3046 6566 3046 6566 3046 6566 3046 6566 3046 6566 3046 6566 3046 6566 3046 6592 3069 6694 3137 6720 3137 6720 3137 6720 3160 6720 3160 6720 3160 6720 3160 6720 3160 6720 3160 6720 3160 6720 3160 6720 3160 6720 3160 6720 3160 6720 3160 6720 3160 6848 3250 6848 3250 6848 3250 6848 3250 6848 3250 6848 3250 6848 3250 6873 3273 6976 3341 6976 3341 6976 3341 7001 3364 7001 3364 7001 3364 7001 3364 7129 3454 7129 3454 7129 3477 7129 3477 7129 3477 7129 3477 7129 3477 7129 3477 7257 3568 7257 3568 7257 3568 7257 3568 7257 3568 7283 3590 7283 3590 7283 3590 7283 3590 7283 3590 7283 3590 7283 3590 7283 3590 7283 3590 7283 3590 7411 3681 7411 3681 7411 3681 7411 3681 7411 3681 7411 3681 7411 3681 7436 3681 7539 3749 7539 3749 7564 3772 7564 3772 7692 3817 7692 3817 7692 3817 7692 3817 7692 3817 7692 3817 7692 3817 7692 3817 7820 3840 7846 3863 7846 3863 7846 3863 7974 3863 7974 3863 7974 3863 8000 3863 8102 3863 8102 3863 8102 3863 8102 3863 8128 3863 8128 3863 8128 3863 8128 3863 8128 3863 8128 3863 8128 3863 8256 3863 8256 3863 8256 3863 8256 3863 8256 3863 8256 3863 8384 3840 8384 3840 8384 3840 8409 3840 8409 3840 8409 3840 8537 3817 8665 3772 8665 3772 8665 3772 8665 3772 8665 3772 8665 3772 8691 3772 8691 3772 8691 3772 8691 3772 8691 3772 8819 3726 8819 3726 8819 3726 8819 3726 8819 3726 8819 3726 8819 3726 8819 3726 8844 3704 8947 3658 8947 3658 8947 3658 8972 3658 8972 3658 8972 3658 9100 3590 9100 3590 9100 3590 9100 3590 9228 3500 9382 3364 9382 3364 9382 3364 9382 3364 9510 3228 9510 3228 9510 3228 9536 3205 9664 3046 9664 3046 9664 3046 9792 2888 9792 2888 9792 2888 9817 2842 9945 2660 9945 2660 9945 2638 9945 2638 9945 2638 9945 2638 10073 2456 10201 2252 10227 2207 10227 2207 10227 2207 10227 2207 10227 2207 10355 2026 10355 2026 10355 2026 10380 2003 10508 1844 10508 1844 10636 1685 10636 1685 201 doline 10636 1685 10662 1663 10790 1549 10790 1549 10918 1436 10944 1413 11200 1254 11225 1232 11353 1164 11353 1164 11481 1096 11481 1096 11481 1096 11507 1096 11507 1096 11763 1005 11891 982 11916 982 11916 982 11916 982 12044 960 12198 937 12326 919 12326 919 12352 916 12608 905 12633 908 12761 923 12761 923 12889 950 13043 982 13196 1028 13299 1050 13452 1073 13478 1096 13478 1096 13606 1096 13734 1118 13734 1118 14016 1118 14041 1118 14425 1118 14425 1118 14451 1118 14579 1096 14579 1096 14604 1096 14732 1073 14732 1073 14860 1050 14860 1050 15014 982 15142 926 15168 912 15270 860 15705 638 15833 572 16268 377 16985 109 17267 9 17523 -83 17548 -94 19084 -918 19212 -1008 19238 -1029 19520 -1237 24998 -5299 67 doline grestore % end of clipping % Data Set 3: gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -323 1436 -321 1436 -320 1436 -318 1436 -318 1436 -317 1436 -193 1481 -169 1481 -168 1481 -168 1481 -36 1549 240 1731 245 1731 368 1822 368 1822 371 1822 524 1958 652 2048 678 2071 678 2071 680 2071 932 2275 934 2275 934 2275 957 2275 960 2275 960 2275 1085 2343 1085 2343 1085 2343 1088 2343 1088 2343 1088 2343 1088 2343 1088 2343 1090 2366 1090 2366 1216 2411 1216 2411 1216 2411 1218 2411 1218 2411 1218 2411 1218 2411 1239 2434 1239 2434 1239 2434 1239 2434 1344 2479 1346 2479 1346 2479 1367 2479 1367 2479 1367 2479 1367 2479 1367 2479 1367 2479 1367 2479 1367 2479 1369 2479 1369 2479 1369 2479 1369 2479 1369 2479 1369 2479 1369 2479 1369 2479 1369 2479 1369 2479 1369 2479 1372 2479 1372 2479 1372 2479 1372 2479 1372 2479 1372 2479 1495 2547 1495 2547 1495 2547 1495 2547 1495 2547 1495 2547 1495 2547 1497 2547 1497 2547 1497 2547 1497 2547 1497 2547 1497 2547 1497 2547 1497 2547 1497 2547 1500 2547 1500 2547 1500 2547 1500 2547 1500 2547 1500 2547 1500 2547 1500 2547 1500 2547 1520 2547 1520 2547 1520 2547 1520 2547 1520 2547 1523 2547 1523 2547 1523 2547 1525 2570 1525 2570 1525 2570 1525 2570 1525 2570 1525 2570 1525 2570 1525 2570 1625 2615 1625 2615 1628 2615 1628 2615 1648 2615 1648 2615 1648 2615 1648 2615 1648 2615 1648 2615 1648 2615 1648 2615 1648 2638 1648 2638 1648 2638 1648 2638 1648 2638 1648 2638 1648 2638 1648 2638 1648 2638 1648 2638 1648 2638 1648 2638 1648 2638 1648 2638 1648 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1651 2638 1653 2638 1653 2638 1653 2638 1653 2638 1653 2638 1653 2638 1653 2638 1653 2638 1653 2638 1653 2638 1653 2638 1653 2638 1653 2638 1653 2638 1653 2638 1653 2638 1653 2638 1776 2706 1776 2706 1776 2706 1776 2706 1776 2706 1776 2706 1776 2706 1776 2706 1776 2706 1776 2706 1776 2706 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 201 doline 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 1779 2706 1781 2706 1781 2706 1781 2706 1781 2706 1781 2706 1781 2706 1781 2706 1781 2706 1781 2706 1781 2706 1781 2706 1781 2706 1781 2706 1781 2706 1781 2706 1802 2706 1802 2706 1802 2706 1802 2706 1802 2706 1802 2706 1802 2706 1802 2706 1804 2706 1804 2706 1804 2706 1804 2729 1804 2729 1804 2729 1804 2729 1804 2729 1804 2729 1804 2729 1804 2729 1807 2729 1807 2729 1807 2729 1807 2729 1807 2729 1807 2729 1807 2729 1904 2774 1904 2774 1907 2774 1907 2774 1907 2774 1909 2774 1909 2774 1909 2774 1909 2774 1909 2774 1909 2774 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1930 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1932 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 1935 2797 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2058 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 2060 2888 201 doline 2060 2888 2060 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2063 2888 2084 2888 2084 2888 2084 2888 2084 2888 2084 2888 2084 2888 2084 2888 2084 2888 2084 2888 2084 2888 2084 2888 2084 2888 2084 2910 2086 2910 2086 2910 2086 2910 2086 2910 2086 2910 2086 2910 2086 2910 2086 2910 2086 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2088 2910 2186 2978 2186 2978 2186 2978 2186 2978 2188 2978 2188 2978 2188 2978 2188 2978 2191 2978 2191 2978 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2212 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2214 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2216 3001 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3092 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 201 doline 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2342 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3114 2368 3137 2368 3137 2368 3137 2368 3137 2368 3137 2368 3137 2368 3137 2368 3137 2368 3137 2368 3137 2368 3137 2368 3137 2368 3137 2368 3137 2368 3137 2470 3205 2470 3205 2470 3205 2470 3205 2470 3205 2470 3205 2470 3205 2470 3205 2470 3205 2470 3205 2470 3205 2470 3205 2470 3205 2470 3205 2470 3205 2470 3205 2470 3205 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2496 3228 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 201 doline 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2624 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2649 3318 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2752 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2777 3386 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 201 doline 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2905 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 2931 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3033 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3059 3432 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 201 doline 3187 3386 3187 3386 3187 3386 3187 3386 3187 3386 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3212 3364 3315 3318 3315 3318 3315 3318 3315 3318 3315 3318 3315 3318 3315 3318 3315 3318 3315 3318 3315 3318 3315 3318 3315 3318 3315 3318 3315 3318 3315 3318 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3340 3296 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3468 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3494 3228 3596 3182 3596 3182 3596 3182 3596 3182 3596 3182 3596 3182 3596 3182 3596 3182 3596 3182 3596 3182 3596 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 201 doline 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3622 3182 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3750 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3776 3160 3878 3160 3878 3160 3878 3160 3878 3160 3878 3160 3878 3160 3878 3160 3878 3160 3878 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 3904 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4032 3160 4057 3182 4057 3182 4057 3182 4057 3182 4057 3182 4057 3182 4057 3182 4057 3182 4057 3182 4057 3182 4057 3182 4057 3182 4057 3182 4057 3182 4057 3182 4057 3182 201 doline 4057 3182 4160 3182 4160 3182 4160 3182 4160 3182 4160 3182 4160 3182 4160 3182 4160 3182 4160 3182 4160 3182 4160 3182 4160 3205 4160 3205 4160 3205 4160 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4185 3205 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4313 3228 4339 3250 4339 3250 4339 3250 4339 3250 4339 3250 4339 3250 4339 3250 4339 3250 4441 3273 4441 3273 4441 3273 4441 3273 4441 3273 4441 3273 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4467 3296 4595 3318 4595 3318 4595 3318 4595 3318 4595 3318 4595 3318 4595 3318 4595 3318 4595 3318 4595 3318 4595 3318 4595 3341 4595 3341 4595 3341 4595 3341 4595 3341 4595 3341 4595 3341 4595 3341 4595 3341 4595 3341 4595 3341 4595 3341 4595 3341 4595 3341 4620 3341 4620 3341 4620 3341 4620 3341 4620 3341 4620 3341 4723 3364 4723 3364 4723 3364 4723 3364 4723 3364 4723 3364 4723 3364 4723 3364 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4748 3386 4876 3409 4876 3409 4876 3409 4876 3409 4876 3409 4876 3409 4876 3409 4876 3432 4876 3432 4876 3432 4876 3432 4876 3432 4876 3432 4876 3432 4876 3432 4876 3432 4876 3432 4876 3432 4876 3432 4876 3432 4876 3432 4876 3432 4876 3432 201 doline 4876 3432 4876 3432 4876 3432 4876 3432 4876 3432 4902 3432 4902 3432 4902 3432 5004 3454 5004 3454 5004 3454 5004 3454 5004 3454 5004 3454 5004 3454 5004 3454 5004 3454 5004 3454 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5030 3477 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5158 3522 5184 3522 5184 3522 5184 3522 5184 3522 5184 3522 5286 3568 5286 3568 5286 3568 5286 3568 5286 3568 5286 3568 5286 3568 5286 3568 5312 3568 5312 3568 5312 3568 5312 3568 5312 3568 5312 3568 5312 3568 5312 3568 5312 3568 5312 3568 5440 3613 5440 3613 5440 3613 5440 3613 5440 3613 5440 3613 5440 3613 5440 3613 5440 3613 5440 3613 5440 3613 5440 3613 5440 3613 5440 3613 5465 3613 5465 3613 5568 3636 5568 3636 5568 3636 5593 3658 5593 3658 5593 3658 5593 3658 5593 3658 5593 3658 5593 3658 5593 3658 5593 3658 5593 3658 5593 3658 5593 3658 5593 3658 5593 3658 5593 3658 5593 3658 5721 3681 5721 3681 5721 3681 5721 3681 5721 3681 5721 3681 5721 3681 5721 3681 5721 3681 5721 3681 5721 3681 5721 3681 5721 3681 5721 3681 5747 3681 5747 3681 5849 3704 5849 3704 5849 3704 5849 3704 5849 3704 5849 3704 5849 3704 5849 3704 5875 3726 5875 3726 5875 3726 5875 3726 5875 3726 5875 3726 5875 3726 5875 3726 5875 3726 5875 3726 5875 3726 5875 3726 5875 3726 5875 3726 5875 3726 5875 3726 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6003 3749 6028 3772 6028 3772 6028 3772 6028 3772 6131 3817 6131 3817 6131 3817 6156 3817 6156 3817 6156 3817 6156 3817 6156 3817 6156 3817 6156 3817 6156 3817 6156 3817 6156 3817 6284 3908 6284 3908 6284 3908 6284 3908 6284 3908 6284 3908 6284 3908 6284 3908 6284 3908 6284 3908 6284 3908 201 doline 6284 3908 6284 3908 6310 3908 6412 3999 6412 3999 6412 3999 6412 3999 6438 3999 6438 3999 6438 3999 6438 3999 6438 3999 6438 3999 6438 4021 6438 4021 6438 4021 6566 4112 6566 4112 6566 4112 6566 4112 6566 4112 6566 4112 6566 4112 6566 4112 6566 4112 6566 4112 6566 4112 6592 4135 6694 4226 6720 4248 6720 4248 6720 4248 6720 4248 6720 4248 6720 4248 6720 4248 6720 4248 6720 4248 6720 4248 6720 4248 6720 4248 6720 4248 6720 4248 6720 4248 6848 4362 6848 4362 6848 4362 6848 4362 6848 4362 6848 4384 6848 4384 6873 4407 6976 4498 6976 4498 6976 4498 7001 4520 7001 4520 7001 4520 7001 4520 7129 4656 7129 4656 7129 4656 7129 4656 7129 4656 7129 4656 7129 4656 7129 4656 7257 4792 7257 4792 7257 4792 7257 4792 7257 4792 7283 4815 7283 4815 7283 4815 7283 4815 7283 4815 7283 4815 7283 4815 7283 4815 7283 4815 7283 4815 7411 4928 7411 4928 7411 4928 7411 4928 7411 4928 7411 4928 7411 4928 7436 4951 7539 5042 7539 5042 7564 5042 7564 5042 7692 5133 7692 5133 7692 5133 7692 5133 7692 5133 7692 5133 7692 5133 7692 5133 7820 5178 7846 5201 7846 5201 7846 5201 7974 5224 7974 5224 7974 5224 8000 5224 8102 5246 8102 5246 8102 5246 8102 5246 8128 5246 8128 5246 8128 5246 8128 5246 8128 5246 8128 5246 8128 5246 8256 5246 8256 5246 8256 5246 8256 5246 8256 5246 8256 5246 8384 5246 8384 5246 8384 5246 8409 5246 8409 5246 8409 5246 8537 5224 8665 5224 8665 5224 8665 5224 8665 5224 8665 5224 8665 5224 8691 5224 8691 5224 8691 5224 8691 5201 8691 5201 8819 5201 8819 5201 8819 5201 8819 5201 8819 5201 8819 5201 8819 5178 8819 5178 8844 5178 8947 5155 8947 5155 8947 5155 8972 5155 8972 5155 8972 5155 9100 5110 9100 5110 9100 5110 9100 5110 9228 5065 9382 4974 9382 4974 9382 4974 9382 4951 9510 4860 9510 4860 9510 4860 9536 4838 9664 4724 9664 4724 9664 4724 9792 4566 9792 4566 9792 4566 9817 4520 9945 4362 9945 4362 9945 4362 9945 4362 9945 4362 9945 4362 10073 4203 10201 4044 10227 3999 10227 3999 10227 3999 10227 3999 10227 3999 10355 3863 10355 3863 10355 3863 10380 3840 10508 3726 10508 3704 10636 3613 10636 3613 201 doline 10636 3613 10662 3590 10790 3500 10790 3500 10918 3432 10944 3409 11200 3296 11225 3296 11353 3250 11353 3250 11481 3228 11481 3228 11481 3228 11507 3228 11507 3228 11763 3182 11891 3160 11916 3160 11916 3160 11916 3160 12044 3160 12198 3160 12326 3182 12326 3182 12352 3182 12608 3250 12633 3250 12761 3273 12761 3273 12889 3296 13043 3318 13196 3364 13299 3386 13452 3432 13478 3432 13478 3432 13606 3477 13734 3522 13734 3522 14016 3568 14041 3568 14425 3545 14425 3545 14451 3545 14579 3522 14579 3522 14604 3522 14732 3500 14732 3500 14860 3477 14860 3477 15014 3477 15142 3477 15168 3477 15270 3500 15705 3545 15833 3545 16268 3568 16985 3545 17267 3522 17523 3522 17548 3522 19084 3772 19212 3817 19238 3840 19520 3953 24998 6788 67 doline grestore % end of clipping % No data in this line % No data in this line % No data in this line /txtpath 0 def /txtpos [0.50 0.50] def 3735 -96 (Time \(s\)) sprnt /txtpos [0.00 0.00] def /fontsiz 343 def /spacesiz 22 def /fontsiz 343 def /spacesiz 22 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 28 def /txtpos [0.50 1.00] def 960 697 (0.5) sprnt 2240 697 (1.0) sprnt 3520 697 (1.5) sprnt 4800 697 (2.0) sprnt 6080 697 (2.5) sprnt /txtpos [1.00 0.35] def 697 960 (1.0) sprnt 697 2094 (1.5) sprnt 697 3228 (2.0) sprnt 697 4362 (2.5) sprnt % Graph number 3 8028 5734 translate 6 setlinewidth solid setdash /linestyle {solid} def 960 832 6080 832 960 832 960 761 2240 832 2240 761 3520 832 3520 761 4800 832 4800 761 6080 832 6080 761 6 dopairs 832 960 832 4362 832 960 761 960 832 1810 761 1810 832 2661 761 2661 832 3511 761 3511 832 4362 761 4362 6 dopairs % Data Set 1: 16 setlinewidth solid setdash /linestyle {solid} def 12 setlinewidth solid setdash /linestyle {solid} def gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line 16 setlinewidth solid setdash /linestyle {solid} def % Draw data line newpath -318 1192 -189 1238 -163 1247 243 1392 370 1438 373 1440 522 1495 654 1546 678 1555 1087 1719 1088 1720 1088 1720 1215 1774 1243 1786 1366 1838 1366 1839 1494 1893 1495 1894 1497 1894 1522 1905 1523 1906 1526 1907 1628 1949 1647 1957 1648 1957 1649 1957 1651 1958 1652 1959 1652 1959 1653 1959 1653 1959 1653 1959 1654 1959 1776 2007 1777 2007 1781 2008 1781 2008 1781 2009 1801 2016 1801 2016 1802 2016 1802 2016 1804 2017 1807 2018 1904 2053 1907 2054 1929 2061 1929 2061 1930 2061 1930 2061 1930 2061 1932 2062 1932 2062 1932 2062 1932 2062 1932 2062 1932 2062 1933 2062 1933 2062 1934 2062 1936 2063 1936 2063 2057 2102 2058 2102 2058 2102 2060 2102 2060 2102 2061 2103 2061 2103 2062 2103 2082 2109 2083 2109 2084 2109 2084 2109 2085 2110 2086 2110 2086 2110 2086 2110 2088 2111 2089 2111 2190 2139 2211 2144 2211 2144 2212 2144 2212 2144 2212 2145 2212 2145 2212 2145 2212 2145 2213 2145 2213 2145 2213 2145 2214 2145 2214 2145 2215 2145 2215 2145 2215 2145 2216 2146 2216 2146 2216 2146 2216 2146 2217 2146 2217 2146 2338 2176 2338 2176 2338 2176 2339 2176 2339 2176 2339 2176 2340 2176 2340 2176 2340 2176 2340 2176 2341 2176 2341 2176 2342 2176 2342 2176 2342 2176 2342 2176 2343 2177 2343 2177 2343 2177 2343 2177 2343 2177 2344 2177 2344 2177 2364 2182 2366 2182 2367 2182 2368 2182 2368 2183 2369 2183 2467 2205 2468 2205 2469 2205 2470 2205 2471 2206 2492 2210 2492 2210 2493 2210 2493 2210 2493 2210 2494 2210 2495 2210 2496 2211 2496 2211 2496 2211 2496 2211 2496 2211 2497 2211 2497 2211 2497 2211 2497 2211 2498 2211 2498 2211 2498 2211 2498 2211 2498 2211 2499 2212 2499 2212 2620 2237 2620 2237 2620 2237 2621 2237 2621 2237 2621 2237 2622 2237 2622 2237 2623 2237 2623 2237 2623 2237 2623 2237 2624 2237 2624 2238 2625 2238 2625 2238 2625 2238 2627 2238 2627 2238 2646 2242 2646 2242 2647 2242 2648 2242 2648 2242 2649 2242 2649 2242 2650 2243 2650 2243 2650 2243 2650 2243 2651 2243 2651 2243 2651 2243 2652 2243 2750 2263 2750 2263 2751 2264 2752 2264 2754 2264 2754 2264 2755 2264 201 doline 2755 2264 2755 2264 2774 2268 2774 2268 2774 2268 2774 2268 2775 2268 2775 2268 2775 2268 2775 2268 2776 2269 2776 2269 2776 2269 2776 2269 2776 2269 2777 2269 2778 2269 2778 2269 2778 2269 2778 2269 2778 2269 2778 2269 2779 2269 2779 2270 2780 2270 2780 2270 2780 2270 2780 2270 2781 2270 2781 2270 2902 2295 2902 2295 2902 2295 2904 2296 2904 2296 2904 2296 2905 2296 2906 2296 2906 2296 2906 2296 2908 2296 2928 2301 2928 2301 2929 2301 2930 2301 2934 2302 3030 2323 3031 2323 3031 2323 3032 2323 3032 2323 3033 2323 3034 2324 3034 2324 3034 2324 3034 2324 3035 2324 3056 2328 3056 2328 3056 2328 3056 2328 3056 2328 3057 2328 3057 2329 3057 2329 3058 2329 3058 2329 3058 2329 3058 2329 3058 2329 3058 2329 3059 2329 3059 2329 3059 2329 3059 2329 3060 2329 3060 2329 3060 2329 3060 2329 3060 2329 3060 2330 3061 2330 3062 2330 3062 2330 3184 2357 3184 2357 3184 2357 3184 2357 3185 2357 3185 2357 3186 2358 3186 2358 3187 2358 3187 2358 3187 2358 3188 2358 3188 2358 3188 2358 3189 2358 3189 2358 3189 2358 3209 2362 3211 2363 3212 2363 3212 2363 3214 2364 3312 2385 3314 2385 3315 2386 3315 2386 3316 2386 3337 2390 3338 2390 3338 2390 3338 2390 3339 2390 3340 2391 3340 2391 3340 2391 3340 2391 3342 2391 3342 2391 3342 2391 3343 2391 3465 2415 3466 2416 3466 2416 3466 2416 3466 2416 3466 2416 3466 2416 3466 2416 3466 2416 3466 2416 3466 2416 3467 2416 3467 2416 3467 2416 3467 2416 3467 2416 3468 2416 3468 2416 3469 2416 3470 2416 3472 2416 3491 2420 3491 2420 3492 2420 3493 2420 3593 2438 3594 2438 3595 2438 3599 2439 3599 2439 3619 2442 3620 2442 3620 2442 3620 2442 3621 2442 3621 2442 3622 2442 3622 2442 3623 2443 3623 2443 3623 2443 3624 2443 3624 2443 3625 2443 3625 2443 3747 2460 3748 2460 3749 2460 3749 2460 3749 2460 3750 2460 3751 2460 3751 2460 3752 2460 3752 2460 3752 2460 3752 2460 3752 2460 3753 2460 3753 2460 3773 2463 3773 2463 3774 2463 3774 2463 3774 2463 3776 2463 3776 2463 3777 2464 3777 2464 3778 2464 3778 2464 3875 2473 3876 2473 3876 2473 3880 2474 3901 2475 3901 2475 201 doline 3901 2475 3901 2475 3902 2475 3903 2475 3904 2475 3904 2475 3904 2475 3904 2475 3905 2475 3905 2475 3905 2475 3905 2475 3906 2476 3906 2476 4029 2482 4029 2482 4029 2482 4029 2482 4030 2482 4030 2482 4031 2482 4031 2482 4032 2482 4032 2482 4035 2482 4055 2483 4055 2483 4055 2483 4056 2483 4056 2483 4058 2483 4058 2483 4059 2483 4060 2483 4156 2483 4158 2483 4160 2483 4160 2483 4160 2483 4160 2483 4162 2483 4162 2483 4182 2483 4183 2483 4183 2483 4184 2483 4184 2483 4185 2483 4185 2483 4186 2483 4187 2482 4188 2482 4188 2482 4188 2482 4310 2477 4310 2477 4311 2477 4312 2477 4312 2477 4312 2477 4312 2477 4314 2477 4314 2477 4316 2476 4316 2476 4316 2476 4316 2476 4316 2476 4336 2475 4336 2475 4340 2475 4438 2465 4444 2464 4464 2462 4465 2462 4465 2462 4466 2462 4466 2462 4467 2462 4467 2462 4468 2462 4468 2461 4468 2461 4469 2461 4592 2442 4592 2442 4593 2442 4594 2442 4594 2442 4595 2442 4595 2442 4595 2442 4596 2442 4598 2441 4598 2441 4617 2438 4617 2438 4720 2416 4722 2416 4725 2415 4745 2410 4746 2410 4747 2410 4747 2410 4748 2410 4748 2410 4749 2409 4749 2409 4750 2409 4873 2376 4876 2375 4876 2375 4877 2375 4878 2375 4879 2374 4879 2374 4879 2374 4880 2374 5001 2336 5002 2336 5002 2336 5004 2336 5005 2335 5008 2334 5028 2328 5029 2327 5031 2326 5032 2326 5032 2326 5032 2326 5154 2283 5156 2283 5157 2282 5158 2282 5159 2282 5160 2282 5160 2281 5160 2281 5160 2281 5161 2281 5180 2274 5184 2273 5184 2272 5186 2272 5283 2235 5286 2234 5287 2233 5311 2224 5312 2224 5312 2224 5313 2223 5314 2223 5436 2173 5437 2173 5438 2172 5438 2172 5438 2172 5442 2170 5466 2160 5466 2160 5564 2118 5566 2118 5590 2108 5590 2108 5591 2107 5591 2107 5593 2106 5593 2106 5593 2106 5596 2105 5597 2105 5719 2052 5720 2052 5722 2051 5723 2050 5724 2050 5724 2050 5746 2041 5846 2000 5853 1997 5871 1990 5872 1989 5873 1989 5876 1988 5877 1988 5878 1987 6000 1942 6000 1942 6002 1942 6003 1941 6003 1941 6003 1941 6004 1941 6004 1941 6005 1940 6005 1940 6006 1940 6026 1933 6155 1894 6155 1894 6158 1893 201 doline 6158 1893 6158 1893 6158 1893 6160 1892 6281 1862 6282 1862 6283 1862 6283 1862 6286 1862 6286 1862 6286 1861 6287 1861 6312 1856 6412 1837 6412 1837 6437 1833 6439 1833 6439 1833 6440 1833 6441 1833 6566 1816 6566 1816 6567 1816 6568 1815 6588 1813 6716 1799 6721 1799 6722 1799 6723 1798 6847 1788 6847 1788 6848 1788 6972 1779 6973 1779 6976 1778 7000 1777 7000 1777 7002 1777 7126 1770 7129 1770 7254 1766 7258 1765 7280 1765 7281 1765 7282 1765 7283 1764 7284 1764 7284 1764 7286 1764 7410 1762 7414 1762 7536 1761 7566 1762 7690 1764 7690 1764 7846 1770 7976 1777 8102 1787 8105 1787 8126 1789 8130 1789 8130 1789 8131 1789 8253 1802 8253 1802 8254 1802 8256 1802 8380 1817 8384 1817 8410 1820 8411 1821 8662 1858 8665 1859 8666 1859 8667 1860 8689 1863 8689 1863 8816 1887 8816 1887 8817 1887 8817 1887 8819 1887 8821 1888 8842 1892 8945 1913 8971 1918 9099 1946 9102 1946 9226 1974 9379 2007 9380 2007 9381 2008 9509 2036 9510 2036 9537 2042 9661 2068 9661 2068 9664 2069 9790 2097 9817 2103 9943 2131 9944 2131 9945 2131 9946 2131 10070 2160 10203 2190 10224 2195 10228 2196 10230 2196 10352 2224 10358 2226 10381 2231 10506 2260 10507 2260 10635 2288 10636 2289 10663 2295 10789 2324 10792 2324 10943 2359 11198 2419 11481 2490 11483 2490 11484 2490 11760 2562 11889 2595 11915 2602 11917 2602 11917 2602 12324 2692 12326 2692 12604 2746 12760 2774 12762 2774 13044 2824 13199 2850 13299 2867 13476 2896 13603 2917 14014 2983 14423 3044 14454 3049 14578 3065 14605 3068 14863 3094 15140 3110 15166 3111 15706 3109 15830 3104 16270 3077 16988 3018 17524 2977 17546 2976 19083 2885 19216 2878 19521 2863 25001 2464 157 doline grestore % end of clipping % Data Set 2: 12 setlinewidth solid setdash /linestyle {solid} def gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -318 334 -189 448 -163 470 243 798 370 892 373 894 522 1002 654 1094 678 1111 1087 1382 1088 1383 1088 1383 1215 1466 1243 1484 1366 1562 1366 1562 1494 1641 1495 1642 1497 1643 1522 1658 1523 1659 1526 1661 1628 1721 1647 1732 1648 1732 1649 1732 1651 1734 1652 1734 1652 1734 1653 1735 1653 1735 1653 1735 1654 1735 1776 1802 1777 1802 1781 1804 1781 1804 1781 1804 1801 1814 1801 1814 1802 1814 1802 1815 1804 1816 1807 1817 1904 1865 1907 1866 1929 1876 1929 1876 1930 1876 1930 1876 1930 1876 1932 1877 1932 1877 1932 1877 1932 1877 1932 1877 1932 1877 1933 1878 1933 1878 1934 1878 1936 1879 1936 1879 2057 1931 2058 1931 2058 1931 2060 1932 2060 1932 2061 1932 2061 1932 2062 1933 2082 1941 2083 1941 2084 1941 2084 1941 2085 1942 2086 1942 2086 1942 2086 1942 2088 1943 2089 1943 2190 1980 2211 1987 2211 1987 2212 1988 2212 1988 2212 1988 2212 1988 2212 1988 2212 1988 2213 1988 2213 1988 2213 1988 2214 1988 2214 1988 2215 1988 2215 1988 2215 1989 2216 1989 2216 1989 2216 1989 2216 1989 2217 1989 2217 1989 2338 2027 2338 2027 2338 2027 2339 2027 2339 2027 2339 2028 2340 2028 2340 2028 2340 2028 2340 2028 2341 2028 2341 2028 2342 2028 2342 2028 2342 2028 2342 2028 2343 2028 2343 2028 2343 2028 2343 2028 2343 2028 2344 2029 2344 2029 2364 2035 2366 2035 2367 2036 2368 2036 2368 2036 2369 2036 2467 2062 2468 2063 2469 2063 2470 2063 2471 2063 2492 2069 2492 2069 2493 2069 2493 2069 2493 2069 2494 2069 2495 2069 2496 2070 2496 2070 2496 2070 2496 2070 2496 2070 2497 2070 2497 2070 2497 2070 2497 2070 2498 2070 2498 2070 2498 2070 2498 2070 2498 2070 2499 2070 2499 2070 2620 2099 2620 2099 2620 2099 2621 2099 2621 2099 2621 2099 2622 2099 2622 2099 2623 2100 2623 2100 2623 2100 2623 2100 2624 2100 2624 2100 2625 2100 2625 2100 2625 2100 2627 2100 2627 2100 2646 2105 2646 2105 2647 2105 2648 2105 2648 2105 2649 2105 2649 2105 2650 2105 2650 2106 2650 2106 2650 2106 2651 2106 2651 2106 2651 2106 2652 2106 2750 2127 2750 2127 2751 2128 2752 2128 2754 2128 2754 2128 2755 2128 201 doline 2755 2128 2755 2128 2774 2132 2774 2132 2774 2132 2774 2132 2775 2132 2775 2132 2775 2132 2775 2132 2776 2133 2776 2133 2776 2133 2776 2133 2776 2133 2777 2133 2778 2133 2778 2133 2778 2133 2778 2133 2778 2133 2778 2133 2779 2134 2779 2134 2780 2134 2780 2134 2780 2134 2780 2134 2781 2134 2781 2134 2902 2159 2902 2159 2902 2159 2904 2160 2904 2160 2904 2160 2905 2160 2906 2160 2906 2160 2906 2160 2908 2160 2928 2165 2928 2165 2929 2165 2930 2165 2934 2166 3030 2186 3031 2186 3031 2186 3032 2186 3032 2186 3033 2186 3034 2186 3034 2186 3034 2187 3034 2187 3035 2187 3056 2191 3056 2191 3056 2191 3056 2191 3056 2191 3057 2192 3057 2192 3057 2192 3058 2192 3058 2192 3058 2192 3058 2192 3058 2192 3058 2192 3059 2192 3059 2192 3059 2192 3059 2192 3060 2192 3060 2192 3060 2192 3060 2192 3060 2192 3060 2192 3061 2192 3062 2192 3062 2192 3184 2218 3184 2218 3184 2218 3184 2218 3185 2218 3185 2218 3186 2218 3186 2218 3187 2219 3187 2219 3187 2219 3188 2219 3188 2219 3188 2219 3189 2219 3189 2219 3189 2219 3209 2223 3211 2224 3212 2224 3212 2224 3214 2224 3312 2244 3314 2244 3315 2244 3315 2244 3316 2244 3337 2249 3338 2249 3338 2249 3338 2249 3339 2249 3340 2249 3340 2249 3340 2249 3340 2249 3342 2250 3342 2250 3342 2250 3343 2250 3465 2272 3466 2272 3466 2272 3466 2272 3466 2272 3466 2272 3466 2272 3466 2272 3466 2272 3466 2272 3466 2272 3467 2272 3467 2272 3467 2272 3467 2272 3467 2272 3468 2272 3468 2272 3469 2272 3470 2273 3472 2273 3491 2276 3491 2276 3492 2276 3493 2276 3593 2292 3594 2292 3595 2292 3599 2293 3599 2293 3619 2296 3620 2296 3620 2296 3620 2296 3621 2296 3621 2296 3622 2296 3622 2296 3623 2296 3623 2296 3623 2296 3624 2296 3624 2296 3625 2296 3625 2296 3747 2311 3748 2311 3749 2311 3749 2311 3749 2311 3750 2312 3751 2312 3751 2312 3752 2312 3752 2312 3752 2312 3752 2312 3752 2312 3753 2312 3753 2312 3773 2314 3773 2314 3774 2314 3774 2314 3774 2314 3776 2314 3776 2314 3777 2314 3777 2314 3778 2314 3778 2314 3875 2322 3876 2322 3876 2322 3880 2322 3901 2323 3901 2323 201 doline 3901 2323 3901 2323 3902 2323 3903 2323 3904 2323 3904 2323 3904 2323 3904 2323 3905 2323 3905 2323 3905 2323 3905 2323 3906 2323 3906 2323 4029 2327 4029 2327 4029 2327 4029 2327 4030 2327 4030 2327 4031 2327 4031 2327 4032 2327 4032 2327 4035 2327 4055 2327 4055 2327 4055 2327 4056 2327 4056 2327 4058 2327 4058 2327 4059 2327 4060 2327 4156 2324 4158 2324 4160 2324 4160 2324 4160 2324 4160 2324 4162 2324 4162 2324 4182 2323 4183 2323 4183 2323 4184 2323 4184 2323 4185 2323 4185 2323 4186 2323 4187 2323 4188 2323 4188 2323 4188 2323 4310 2313 4310 2313 4311 2313 4312 2313 4312 2313 4312 2313 4312 2313 4314 2313 4314 2313 4316 2313 4316 2312 4316 2312 4316 2312 4316 2312 4336 2310 4336 2310 4340 2310 4438 2297 4444 2296 4464 2293 4465 2293 4465 2293 4466 2293 4466 2292 4467 2292 4467 2292 4468 2292 4468 2292 4468 2292 4469 2292 4592 2269 4592 2269 4593 2269 4594 2269 4594 2269 4595 2268 4595 2268 4595 2268 4596 2268 4598 2268 4598 2268 4617 2264 4617 2264 4720 2239 4722 2238 4725 2237 4745 2232 4746 2232 4747 2231 4747 2231 4748 2231 4748 2231 4749 2231 4749 2231 4750 2230 4873 2194 4876 2193 4876 2192 4877 2192 4878 2192 4879 2192 4879 2192 4879 2192 4880 2192 5001 2150 5002 2150 5002 2150 5004 2149 5005 2148 5008 2148 5028 2140 5029 2140 5031 2139 5032 2139 5032 2139 5032 2139 5154 2092 5156 2092 5157 2091 5158 2091 5159 2090 5160 2090 5160 2090 5160 2090 5160 2090 5161 2090 5180 2082 5184 2081 5184 2080 5186 2080 5283 2040 5286 2038 5287 2038 5311 2028 5312 2028 5312 2028 5313 2028 5314 2027 5436 1974 5437 1974 5438 1973 5438 1973 5438 1973 5442 1971 5466 1960 5466 1960 5564 1916 5566 1915 5590 1904 5590 1904 5591 1904 5591 1904 5593 1902 5593 1902 5593 1902 5596 1901 5597 1901 5719 1844 5720 1844 5722 1843 5723 1843 5724 1842 5724 1842 5746 1832 5846 1788 5853 1785 5871 1777 5872 1777 5873 1776 5876 1775 5877 1775 5878 1774 6000 1725 6000 1725 6002 1724 6003 1724 6003 1724 6003 1724 6004 1724 6004 1723 6005 1723 6005 1723 6006 1722 6026 1715 6155 1670 6155 1670 6158 1670 201 doline 6158 1670 6158 1670 6158 1670 6160 1669 6281 1634 6282 1634 6283 1633 6283 1633 6286 1632 6286 1632 6286 1632 6287 1632 6312 1626 6412 1602 6412 1602 6437 1597 6439 1597 6439 1597 6440 1596 6441 1596 6566 1573 6566 1573 6567 1573 6568 1573 6588 1569 6716 1549 6721 1548 6722 1548 6723 1548 6847 1531 6847 1531 6848 1531 6972 1516 6973 1516 6976 1516 7000 1513 7000 1513 7002 1513 7126 1501 7129 1501 7254 1490 7258 1490 7280 1489 7281 1489 7282 1488 7283 1488 7284 1488 7284 1488 7286 1488 7410 1481 7414 1480 7536 1476 7566 1475 7690 1474 7690 1474 7846 1476 7976 1482 8102 1490 8105 1490 8126 1492 8130 1492 8130 1492 8131 1492 8253 1503 8253 1503 8254 1503 8256 1504 8380 1517 8384 1518 8410 1521 8411 1521 8662 1556 8665 1556 8666 1556 8667 1557 8689 1560 8689 1560 8816 1582 8816 1582 8817 1582 8817 1582 8819 1582 8821 1583 8842 1587 8945 1606 8971 1611 9099 1636 9102 1636 9226 1660 9379 1690 9380 1690 9381 1691 9509 1715 9510 1716 9537 1720 9661 1744 9661 1744 9664 1745 9790 1768 9817 1773 9943 1796 9944 1797 9945 1797 9946 1797 10070 1820 10203 1845 10224 1849 10228 1850 10230 1850 10352 1872 10358 1873 10381 1877 10506 1898 10507 1899 10635 1920 10636 1920 10663 1924 10789 1946 10792 1946 10943 1972 11198 2018 11481 2071 11483 2071 11484 2072 11760 2130 11889 2156 11915 2161 11917 2161 11917 2161 12324 2234 12326 2235 12604 2275 12760 2295 12762 2296 13044 2335 13199 2357 13299 2370 13476 2392 13603 2407 14014 2454 14423 2502 14454 2504 14578 2514 14605 2516 14863 2526 15140 2527 15166 2526 15706 2508 15830 2499 16270 2449 16988 2318 17524 2217 17546 2213 19083 1961 19216 1937 19521 1880 25001 290 157 doline grestore % end of clipping % Data Set 3: gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -318 2050 -189 2027 -163 2023 243 1986 370 1985 373 1985 522 1988 654 1996 678 1998 1087 2056 1088 2056 1088 2056 1215 2081 1243 2087 1366 2115 1366 2115 1494 2145 1495 2146 1497 2146 1522 2152 1523 2152 1526 2153 1628 2178 1647 2182 1648 2182 1649 2182 1651 2183 1652 2183 1652 2183 1653 2183 1653 2183 1653 2184 1654 2184 1776 2212 1777 2212 1781 2213 1781 2213 1781 2213 1801 2218 1801 2218 1802 2218 1802 2218 1804 2218 1807 2219 1904 2241 1907 2241 1929 2246 1929 2246 1930 2246 1930 2246 1930 2246 1932 2246 1932 2246 1932 2246 1932 2246 1932 2246 1932 2246 1933 2247 1933 2247 1934 2247 1936 2247 1936 2247 2057 2272 2058 2272 2058 2272 2060 2273 2060 2273 2061 2273 2061 2273 2062 2273 2082 2277 2083 2277 2084 2278 2084 2278 2085 2278 2086 2278 2086 2278 2086 2278 2088 2278 2089 2278 2190 2298 2211 2302 2211 2302 2212 2302 2212 2302 2212 2302 2212 2302 2212 2302 2212 2302 2213 2302 2213 2302 2213 2302 2214 2302 2214 2302 2215 2302 2215 2302 2215 2302 2216 2302 2216 2302 2216 2302 2216 2302 2217 2302 2217 2302 2338 2324 2338 2324 2338 2324 2339 2324 2339 2324 2339 2324 2340 2324 2340 2324 2340 2324 2340 2324 2341 2324 2341 2325 2342 2325 2342 2325 2342 2325 2342 2325 2343 2325 2343 2325 2343 2325 2343 2325 2343 2325 2344 2325 2344 2325 2364 2329 2366 2329 2367 2329 2368 2330 2368 2330 2369 2330 2467 2347 2468 2347 2469 2347 2470 2348 2471 2348 2492 2351 2492 2352 2493 2352 2493 2352 2493 2352 2494 2352 2495 2352 2496 2352 2496 2352 2496 2352 2496 2352 2496 2352 2497 2352 2497 2352 2497 2352 2497 2352 2498 2352 2498 2352 2498 2352 2498 2352 2498 2352 2499 2352 2499 2352 2620 2374 2620 2374 2620 2374 2621 2374 2621 2374 2621 2374 2622 2375 2622 2375 2623 2375 2623 2375 2623 2375 2623 2375 2624 2375 2624 2375 2625 2375 2625 2375 2625 2375 2627 2376 2627 2376 2646 2379 2646 2379 2647 2380 2648 2380 2648 2380 2649 2380 2649 2380 2650 2380 2650 2380 2650 2380 2650 2380 2651 2380 2651 2380 2651 2380 2652 2380 2750 2399 2750 2399 2751 2400 2752 2400 2754 2400 2754 2400 2755 2400 201 doline 2755 2400 2755 2400 2774 2404 2774 2404 2774 2404 2774 2404 2775 2404 2775 2404 2775 2404 2775 2404 2776 2404 2776 2405 2776 2405 2776 2405 2776 2405 2777 2405 2778 2405 2778 2405 2778 2405 2778 2405 2778 2405 2778 2405 2779 2405 2779 2405 2780 2405 2780 2406 2780 2406 2780 2406 2781 2406 2781 2406 2902 2431 2902 2431 2902 2431 2904 2432 2904 2432 2904 2432 2905 2432 2906 2432 2906 2432 2906 2432 2908 2432 2928 2437 2928 2437 2929 2437 2930 2437 2934 2438 3030 2460 3031 2460 3031 2460 3032 2460 3032 2460 3033 2460 3034 2460 3034 2460 3034 2461 3034 2461 3035 2461 3056 2466 3056 2466 3056 2466 3056 2466 3056 2466 3057 2466 3057 2466 3057 2466 3058 2466 3058 2466 3058 2466 3058 2466 3058 2466 3058 2466 3059 2466 3059 2466 3059 2466 3059 2466 3060 2466 3060 2466 3060 2466 3060 2466 3060 2466 3060 2467 3061 2467 3062 2467 3062 2467 3184 2496 3184 2496 3184 2496 3184 2496 3185 2496 3185 2496 3186 2496 3186 2496 3187 2496 3187 2496 3187 2497 3188 2497 3188 2497 3188 2497 3189 2497 3189 2497 3189 2497 3209 2502 3211 2502 3212 2502 3212 2503 3214 2503 3312 2526 3314 2526 3315 2526 3315 2526 3316 2526 3337 2532 3338 2532 3338 2532 3338 2532 3339 2532 3340 2532 3340 2532 3340 2532 3340 2532 3342 2532 3342 2532 3342 2532 3343 2533 3465 2559 3466 2559 3466 2559 3466 2559 3466 2559 3466 2559 3466 2559 3466 2559 3466 2559 3466 2559 3466 2559 3467 2559 3467 2559 3467 2559 3467 2559 3467 2559 3468 2560 3468 2560 3469 2560 3470 2560 3472 2560 3491 2564 3491 2564 3492 2564 3493 2564 3593 2584 3594 2584 3595 2584 3599 2585 3599 2585 3619 2588 3620 2588 3620 2588 3620 2588 3621 2589 3621 2589 3622 2589 3622 2589 3623 2589 3623 2589 3623 2589 3624 2589 3624 2589 3625 2589 3625 2589 3747 2608 3748 2609 3749 2609 3749 2609 3749 2609 3750 2609 3751 2609 3751 2609 3752 2609 3752 2609 3752 2609 3752 2609 3752 2609 3753 2610 3753 2610 3773 2612 3773 2612 3774 2612 3774 2612 3774 2612 3776 2612 3776 2613 3777 2613 3777 2613 3778 2613 3778 2613 3875 2624 3876 2624 3876 2625 3880 2625 3901 2627 3901 2627 201 doline 3901 2627 3901 2627 3902 2627 3903 2627 3904 2628 3904 2628 3904 2628 3904 2628 3905 2628 3905 2628 3905 2628 3905 2628 3906 2628 3906 2628 4029 2637 4029 2637 4029 2637 4029 2637 4030 2637 4030 2637 4031 2637 4031 2637 4032 2637 4032 2637 4035 2638 4055 2638 4055 2638 4055 2638 4056 2639 4056 2639 4058 2639 4058 2639 4059 2639 4060 2639 4156 2642 4158 2642 4160 2642 4160 2642 4160 2642 4160 2642 4162 2642 4162 2642 4182 2642 4183 2642 4183 2642 4184 2642 4184 2642 4185 2642 4185 2642 4186 2642 4187 2642 4188 2642 4188 2642 4188 2642 4310 2641 4310 2641 4311 2640 4312 2640 4312 2640 4312 2640 4312 2640 4314 2640 4314 2640 4316 2640 4316 2640 4316 2640 4316 2640 4316 2640 4336 2640 4336 2640 4340 2640 4438 2633 4444 2633 4464 2631 4465 2631 4465 2631 4466 2631 4466 2631 4467 2631 4467 2631 4468 2630 4468 2630 4468 2630 4469 2630 4592 2616 4592 2616 4593 2616 4594 2616 4594 2616 4595 2615 4595 2615 4595 2615 4596 2615 4598 2615 4598 2615 4617 2612 4617 2612 4720 2594 4722 2594 4725 2593 4745 2589 4746 2588 4747 2588 4747 2588 4748 2588 4748 2588 4749 2588 4749 2588 4750 2588 4873 2559 4876 2558 4876 2558 4877 2558 4878 2558 4879 2557 4879 2557 4879 2557 4880 2557 5001 2523 5002 2523 5002 2523 5004 2522 5005 2522 5008 2521 5028 2515 5029 2515 5031 2514 5032 2514 5032 2514 5032 2514 5154 2474 5156 2474 5157 2474 5158 2473 5159 2473 5160 2473 5160 2472 5160 2472 5160 2472 5161 2472 5180 2466 5184 2464 5184 2464 5186 2464 5283 2430 5286 2428 5287 2428 5311 2420 5312 2419 5312 2419 5313 2419 5314 2418 5436 2372 5437 2372 5438 2372 5438 2372 5438 2371 5442 2370 5466 2360 5466 2360 5564 2321 5566 2321 5590 2311 5590 2311 5591 2311 5591 2311 5593 2310 5593 2310 5593 2310 5596 2309 5597 2308 5719 2260 5720 2260 5722 2258 5723 2258 5724 2258 5724 2258 5746 2249 5846 2211 5853 2209 5871 2202 5872 2202 5873 2201 5876 2201 5877 2200 5878 2200 6000 2159 6000 2159 6002 2158 6003 2158 6003 2158 6003 2158 6004 2158 6004 2158 6005 2158 6005 2157 6006 2157 6026 2151 6155 2117 6155 2117 6158 2116 201 doline 6158 2116 6158 2116 6158 2116 6160 2116 6281 2091 6282 2091 6283 2091 6283 2091 6286 2090 6286 2090 6286 2090 6287 2090 6312 2086 6412 2072 6412 2072 6437 2070 6439 2069 6439 2069 6440 2069 6441 2069 6566 2058 6566 2058 6567 2058 6568 2058 6588 2056 6716 2049 6721 2049 6722 2049 6723 2049 6847 2044 6847 2044 6848 2044 6972 2041 6973 2041 6976 2041 7000 2041 7000 2041 7002 2041 7126 2040 7129 2040 7254 2040 7258 2040 7280 2041 7281 2041 7282 2041 7283 2041 7284 2041 7284 2041 7286 2041 7410 2043 7414 2043 7536 2047 7566 2048 7690 2054 7690 2054 7846 2063 7976 2072 8102 2084 8105 2084 8126 2086 8130 2086 8130 2086 8131 2086 8253 2100 8253 2100 8254 2100 8256 2100 8380 2116 8384 2116 8410 2120 8411 2120 8662 2161 8665 2162 8666 2162 8667 2162 8689 2166 8689 2166 8816 2192 8816 2192 8817 2192 8817 2192 8819 2192 8821 2193 8842 2197 8945 2220 8971 2226 9099 2256 9102 2257 9226 2287 9379 2324 9380 2324 9381 2324 9509 2356 9510 2356 9537 2362 9661 2393 9661 2393 9664 2394 9790 2425 9817 2432 9943 2465 9944 2465 9945 2466 9946 2466 10070 2498 10203 2535 10224 2541 10228 2542 10230 2543 10352 2577 10358 2578 10381 2585 10506 2620 10507 2621 10635 2657 10636 2658 10663 2665 10789 2701 10792 2702 10943 2745 11198 2821 11481 2908 11483 2909 11484 2909 11760 2995 11889 3034 11915 3042 11917 3042 11917 3042 12324 3150 12326 3150 12604 3217 12760 3253 12762 3254 13044 3313 13199 3344 13299 3364 13476 3401 13603 3428 14014 3512 14423 3587 14454 3593 14578 3615 14605 3620 14863 3662 15140 3693 15166 3695 15706 3710 15830 3708 16270 3704 16988 3718 17524 3737 17546 3738 19083 3809 19216 3819 19521 3846 25001 4637 157 doline grestore % end of clipping % Data Set 4: 32 setlinewidth dotted setdash /linestyle {dotted} def 12 setlinewidth solid setdash /linestyle {solid} def gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line 32 setlinewidth solid setdash /linestyle {solid} def 32 setlinewidth dotted setdash /linestyle {dotted} def % Draw data line newpath -322 2940 -320 2940 -320 2940 -319 2940 -163 2953 -36 2963 681 2977 681 2977 934 2971 935 2971 935 2971 959 2970 960 2970 1085 2967 1085 2967 1086 2967 1088 2967 1088 2967 1090 2967 1213 2970 1214 2970 1217 2970 1218 2970 1242 2972 1244 2972 1245 2972 1343 2986 1366 2990 1366 2990 1367 2990 1367 2990 1367 2990 1367 2990 1368 2990 1368 2990 1368 2991 1369 2991 1369 2991 1369 2991 1370 2991 1370 2991 1370 2991 1370 2991 1371 2991 1371 2991 1494 3023 1494 3023 1496 3024 1496 3024 1496 3024 1496 3024 1497 3024 1497 3024 1497 3024 1497 3024 1498 3024 1498 3025 1500 3025 1500 3025 1500 3025 1500 3025 1501 3025 1520 3032 1521 3032 1521 3032 1522 3033 1522 3033 1523 3033 1524 3034 1525 3034 1525 3034 1526 3034 1623 3072 1624 3072 1648 3082 1648 3082 1648 3082 1648 3082 1648 3082 1648 3082 1648 3082 1649 3082 1649 3082 1649 3082 1649 3082 1650 3082 1650 3082 1650 3083 1650 3083 1650 3083 1650 3083 1650 3083 1651 3083 1651 3083 1651 3083 1651 3083 1651 3083 1652 3084 1652 3084 1653 3084 1653 3084 1653 3084 1654 3084 1654 3084 1654 3084 1654 3084 1775 3128 1775 3128 1776 3128 1776 3128 1776 3128 1776 3128 1776 3128 1777 3128 1777 3128 1778 3128 1778 3128 1778 3128 1778 3128 1778 3128 1778 3128 1778 3128 1779 3129 1779 3129 1779 3129 1780 3129 1780 3129 1780 3129 1780 3129 1780 3129 1780 3129 1780 3129 1781 3129 1781 3129 1781 3129 1781 3129 1781 3129 1781 3129 1782 3129 1782 3129 1782 3129 1782 3130 1782 3130 1802 3134 1803 3134 1804 3135 1804 3135 1804 3135 1804 3135 1804 3135 1806 3135 1806 3135 1806 3135 1807 3135 1807 3135 1807 3135 1808 3136 1904 3144 1904 3144 1906 3144 1906 3144 1906 3144 1910 3143 1910 3143 1929 3142 1929 3142 1929 3142 1929 3142 1929 3142 1929 3142 1930 3142 1930 3142 1930 3142 1930 3142 1930 3142 1930 3142 1930 3142 1930 3142 1930 3142 1930 3142 1931 3141 1931 3141 1931 3141 1931 3141 1931 3141 1932 3141 1932 3141 1932 3141 1932 3141 1932 3141 1932 3141 1932 3141 1933 3141 1933 3141 1934 3141 1934 3141 1934 3141 1934 3141 1934 3141 1934 3141 1934 3141 201 doline 1934 3141 1934 3141 1935 3141 1935 3141 1935 3141 1936 3141 1936 3141 1936 3141 1936 3141 1936 3141 1936 3141 2057 3103 2058 3103 2058 3103 2058 3103 2058 3103 2058 3103 2058 3103 2058 3103 2058 3102 2058 3102 2059 3102 2059 3102 2059 3102 2060 3102 2060 3102 2060 3102 2060 3102 2060 3102 2060 3102 2060 3102 2060 3102 2061 3102 2061 3101 2062 3101 2062 3101 2062 3101 2062 3101 2062 3101 2062 3101 2063 3100 2063 3100 2063 3100 2064 3100 2064 3100 2083 3091 2083 3091 2084 3090 2084 3090 2084 3090 2086 3089 2087 3089 2087 3088 2087 3088 2088 3088 2088 3088 2088 3088 2088 3088 2088 3088 2089 3088 2089 3088 2186 3033 2186 3033 2188 3032 2188 3032 2189 3031 2211 3019 2211 3019 2211 3019 2211 3018 2211 3018 2211 3018 2212 3018 2212 3018 2212 3018 2212 3018 2212 3018 2212 3018 2213 3018 2213 3018 2213 3018 2213 3018 2213 3017 2214 3017 2214 3017 2214 3017 2214 3017 2214 3017 2214 3017 2215 3017 2215 3016 2215 3016 2215 3016 2215 3016 2216 3016 2216 3016 2216 3016 2216 3016 2216 3016 2216 3016 2216 3016 2217 3016 2217 3015 2217 3015 2217 3015 2217 3015 2218 3015 2339 2952 2339 2952 2339 2952 2339 2951 2340 2951 2340 2951 2340 2951 2340 2951 2340 2951 2341 2950 2341 2950 2341 2950 2342 2950 2342 2950 2342 2950 2342 2950 2343 2949 2344 2949 2344 2949 2344 2949 2344 2949 2345 2948 2345 2948 2345 2948 2345 2948 2345 2948 2346 2948 2364 2939 2364 2938 2365 2938 2365 2938 2365 2938 2366 2938 2366 2938 2366 2938 2367 2938 2367 2938 2367 2938 2367 2937 2368 2937 2368 2937 2368 2937 2369 2936 2369 2936 2370 2936 2370 2936 2371 2935 2371 2935 2468 2887 2468 2886 2470 2885 2470 2885 2471 2885 2472 2884 2472 2884 2492 2874 2493 2874 2493 2874 2493 2874 2493 2874 2494 2874 2494 2874 2494 2874 2494 2873 2494 2873 2495 2873 2495 2873 2496 2873 2496 2873 2496 2873 2496 2873 2496 2872 2496 2872 2496 2872 2496 2872 2496 2872 2496 2872 2496 2872 2496 2872 2497 2872 2497 2872 2497 2872 2497 2872 2497 2872 2497 2872 2498 2872 2498 2872 2498 2872 2498 2872 2498 2872 2498 2872 2498 2871 2498 2871 2498 2871 201 doline 2498 2871 2499 2871 2499 2871 2499 2871 2620 2815 2620 2815 2621 2815 2621 2815 2621 2815 2621 2815 2622 2815 2622 2815 2622 2815 2622 2814 2622 2814 2622 2814 2622 2814 2623 2814 2623 2814 2623 2814 2623 2814 2624 2814 2624 2814 2624 2814 2624 2814 2626 2813 2626 2813 2626 2813 2626 2813 2627 2812 2627 2812 2646 2804 2647 2804 2647 2804 2648 2804 2648 2804 2649 2804 2649 2803 2650 2803 2650 2803 2650 2803 2651 2802 2748 2768 2749 2768 2749 2768 2751 2768 2755 2767 2774 2761 2774 2761 2774 2761 2774 2761 2775 2761 2775 2761 2776 2761 2776 2761 2777 2760 2777 2760 2777 2760 2777 2760 2778 2760 2778 2760 2778 2760 2778 2760 2778 2760 2778 2760 2778 2760 2778 2760 2779 2760 2779 2760 2779 2760 2779 2760 2779 2760 2780 2760 2780 2760 2780 2760 2780 2760 2780 2760 2780 2760 2780 2760 2781 2760 2902 2739 2902 2739 2902 2739 2902 2739 2903 2739 2903 2739 2903 2739 2904 2739 2904 2739 2904 2739 2904 2739 2904 2739 2904 2739 2904 2739 2904 2739 2905 2739 2907 2739 2907 2739 2907 2739 2907 2739 2908 2739 2908 2739 2908 2739 2909 2739 2927 2738 2928 2738 2928 2738 2928 2738 2929 2738 2929 2738 2929 2738 2930 2738 2930 2738 2932 2738 2932 2738 2933 2738 2933 2738 2934 2738 3056 2752 3056 2753 3056 2753 3057 2753 3058 2753 3058 2753 3058 2753 3058 2753 3058 2753 3059 2753 3060 2754 3060 2754 3060 2754 3061 2754 3061 2754 3061 2754 3061 2754 3061 2754 3184 2788 3184 2788 3184 2788 3184 2788 3185 2789 3186 2789 3186 2789 3186 2789 3186 2789 3186 2789 3187 2789 3187 2789 3188 2789 3188 2790 3188 2790 3189 2790 3189 2790 3190 2790 3190 2790 3190 2790 3209 2796 3210 2797 3210 2797 3212 2797 3212 2797 3212 2797 3212 2797 3214 2798 3214 2798 3215 2798 3215 2798 3216 2798 3314 2830 3315 2831 3316 2831 3318 2832 3337 2838 3337 2838 3338 2838 3338 2838 3339 2838 3339 2838 3339 2838 3340 2839 3340 2839 3340 2839 3340 2839 3340 2839 3340 2839 3341 2839 3341 2839 3342 2839 3343 2840 3343 2840 3343 2840 3343 2840 3344 2840 3466 2878 3466 2879 3466 2879 3466 2879 3466 2879 3467 2879 3467 2879 3468 2879 201 doline 3468 2879 3468 2879 3468 2880 3468 2880 3468 2880 3469 2880 3470 2880 3470 2880 3470 2880 3471 2880 3472 2880 3472 2880 3493 2887 3493 2887 3493 2887 3494 2887 3494 2887 3494 2887 3495 2888 3495 2888 3495 2888 3496 2888 3497 2888 3595 2918 3598 2918 3618 2924 3619 2924 3619 2924 3619 2924 3619 2924 3619 2924 3620 2924 3620 2924 3621 2924 3621 2924 3621 2925 3622 2925 3622 2925 3622 2925 3623 2925 3623 2925 3624 2925 3624 2926 3625 2926 3625 2926 3625 2926 3748 2958 3748 2958 3750 2958 3750 2958 3750 2958 3751 2958 3752 2959 3753 2959 3753 2959 3753 2959 3753 2959 3772 2964 3774 2964 3774 2964 3775 2964 3777 2965 3777 2965 3779 2966 3779 2966 3875 2990 3878 2991 3900 2996 3900 2996 3901 2997 3902 2997 3902 2997 3902 2997 3902 2997 3904 2997 3905 2998 3905 2998 3905 2998 3905 2998 3906 2998 3907 2998 4028 3027 4029 3027 4029 3027 4030 3027 4030 3027 4030 3027 4030 3028 4033 3028 4033 3028 4034 3028 4035 3028 4035 3028 4054 3032 4157 3050 4161 3051 4182 3054 4182 3054 4182 3054 4182 3054 4183 3054 4183 3054 4183 3054 4186 3054 4187 3054 4188 3054 4310 3060 4311 3060 4313 3060 4340 3059 4438 3046 4441 3046 4465 3041 4466 3040 4466 3040 4469 3040 4469 3040 4470 3040 4594 3002 4594 3002 4596 3002 4596 3002 4597 3001 4598 3001 4598 3001 4620 2992 4622 2992 4720 2949 4722 2948 4722 2948 4724 2947 4746 2936 4747 2936 4749 2935 4749 2935 4750 2934 4750 2934 4751 2934 4751 2934 4874 2873 4874 2873 4876 2872 4877 2872 4877 2872 4877 2872 4878 2871 4904 2858 5003 2812 5006 2810 5007 2810 5028 2800 5032 2798 5159 2742 5160 2741 5161 2740 5186 2730 5283 2691 5288 2689 5314 2680 5437 2642 5440 2642 5443 2641 5443 2641 5590 2616 5594 2616 5718 2610 5719 2610 5720 2610 5721 2610 5847 2617 5849 2617 5871 2620 5874 2620 6003 2638 6004 2638 6006 2638 6028 2642 6129 2658 6130 2658 6438 2683 6566 2671 6566 2671 6567 2671 6719 2632 6720 2631 6723 2630 6847 2573 6847 2573 6850 2571 6873 2558 7003 2473 7129 2371 7256 2252 7282 2227 7282 2227 7410 2092 7411 2091 7436 2064 7690 1772 7691 1772 7693 1768 201 doline 7693 1768 7977 1461 8126 1326 8255 1225 8540 1054 8691 988 8817 944 9380 851 9795 858 10223 919 11354 1311 13734 2928 14735 3790 19238 7200 14 doline grestore % end of clipping % Data Set 5: 12 setlinewidth solid setdash /linestyle {solid} def gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line 32 setlinewidth solid setdash /linestyle {solid} def 32 setlinewidth dotted setdash /linestyle {dotted} def % Draw data line newpath -322 1987 -320 1988 -320 1989 -319 1990 -163 2120 -36 2200 681 2484 681 2484 934 2571 935 2571 935 2571 959 2580 960 2581 1085 2629 1085 2629 1086 2629 1088 2630 1088 2630 1090 2630 1213 2680 1214 2681 1217 2682 1218 2683 1242 2693 1244 2694 1245 2694 1343 2740 1366 2752 1366 2752 1367 2752 1367 2752 1367 2752 1367 2752 1368 2753 1368 2753 1368 2753 1369 2753 1369 2754 1369 2754 1370 2754 1370 2754 1370 2754 1370 2754 1371 2754 1371 2754 1494 2819 1494 2819 1496 2820 1496 2820 1496 2820 1496 2820 1497 2820 1497 2820 1497 2820 1497 2821 1498 2821 1498 2821 1500 2822 1500 2822 1500 2822 1500 2822 1501 2822 1520 2833 1521 2834 1521 2834 1522 2834 1522 2835 1523 2835 1524 2836 1525 2836 1525 2836 1526 2837 1623 2892 1624 2893 1648 2906 1648 2906 1648 2906 1648 2906 1648 2906 1648 2906 1648 2906 1649 2907 1649 2907 1649 2907 1649 2907 1650 2907 1650 2908 1650 2908 1650 2908 1650 2908 1650 2908 1650 2908 1651 2908 1651 2908 1651 2908 1651 2908 1651 2908 1652 2909 1652 2909 1653 2909 1653 2909 1653 2909 1654 2909 1654 2910 1654 2910 1654 2910 1775 2967 1775 2967 1776 2967 1776 2967 1776 2967 1776 2967 1776 2968 1777 2968 1777 2968 1778 2968 1778 2968 1778 2968 1778 2968 1778 2968 1778 2968 1778 2968 1779 2968 1779 2968 1779 2968 1780 2969 1780 2969 1780 2969 1780 2969 1780 2969 1780 2969 1780 2969 1781 2969 1781 2969 1781 2969 1781 2969 1781 2969 1781 2969 1782 2969 1782 2969 1782 2970 1782 2970 1782 2970 1802 2976 1803 2976 1804 2976 1804 2976 1804 2976 1804 2976 1804 2977 1806 2977 1806 2977 1806 2977 1807 2977 1807 2977 1807 2978 1808 2978 1904 2991 1904 2991 1906 2991 1906 2991 1906 2991 1910 2991 1910 2991 1929 2990 1929 2990 1929 2990 1929 2990 1929 2990 1929 2990 1930 2990 1930 2990 1930 2990 1930 2990 1930 2990 1930 2990 1930 2990 1930 2990 1930 2990 1930 2990 1931 2990 1931 2990 1931 2990 1931 2990 1931 2990 1932 2990 1932 2990 1932 2990 1932 2990 1932 2990 1932 2990 1932 2990 1933 2990 1933 2990 1934 2990 1934 2990 1934 2990 1934 2990 1934 2990 1934 2990 1934 2990 201 doline 1934 2990 1934 2990 1935 2990 1935 2990 1935 2990 1936 2989 1936 2989 1936 2989 1936 2989 1936 2989 1936 2989 2057 2954 2058 2953 2058 2953 2058 2953 2058 2953 2058 2953 2058 2953 2058 2953 2058 2953 2058 2953 2059 2953 2059 2953 2059 2953 2060 2952 2060 2952 2060 2952 2060 2952 2060 2952 2060 2952 2060 2952 2060 2952 2061 2952 2061 2952 2062 2952 2062 2952 2062 2952 2062 2951 2062 2951 2062 2951 2063 2951 2063 2951 2063 2951 2064 2951 2064 2950 2083 2941 2083 2941 2084 2941 2084 2940 2084 2940 2086 2940 2087 2939 2087 2939 2087 2939 2088 2939 2088 2938 2088 2938 2088 2938 2088 2938 2089 2938 2089 2938 2186 2883 2186 2883 2188 2882 2188 2882 2189 2881 2211 2869 2211 2869 2211 2869 2211 2869 2211 2869 2211 2868 2212 2868 2212 2868 2212 2868 2212 2868 2212 2868 2212 2868 2213 2868 2213 2868 2213 2868 2213 2868 2213 2868 2214 2867 2214 2867 2214 2867 2214 2867 2214 2867 2214 2867 2215 2867 2215 2866 2215 2866 2215 2866 2215 2866 2216 2866 2216 2866 2216 2866 2216 2866 2216 2866 2216 2866 2216 2866 2217 2866 2217 2866 2217 2865 2217 2865 2217 2865 2218 2865 2339 2800 2339 2800 2339 2800 2339 2800 2340 2800 2340 2800 2340 2800 2340 2800 2340 2800 2341 2800 2341 2800 2341 2800 2342 2799 2342 2799 2342 2799 2342 2799 2343 2798 2344 2798 2344 2798 2344 2798 2344 2798 2345 2798 2345 2798 2345 2797 2345 2797 2345 2797 2346 2797 2364 2787 2364 2787 2365 2787 2365 2787 2365 2787 2366 2787 2366 2786 2366 2786 2367 2786 2367 2786 2367 2786 2367 2786 2368 2786 2368 2786 2368 2786 2369 2785 2369 2785 2370 2784 2370 2784 2371 2784 2371 2784 2468 2734 2468 2733 2470 2732 2470 2732 2471 2732 2472 2731 2472 2731 2492 2720 2493 2720 2493 2720 2493 2720 2493 2720 2494 2720 2494 2720 2494 2720 2494 2720 2494 2720 2495 2719 2495 2719 2496 2719 2496 2719 2496 2719 2496 2719 2496 2719 2496 2719 2496 2719 2496 2719 2496 2719 2496 2718 2496 2718 2496 2718 2497 2718 2497 2718 2497 2718 2497 2718 2497 2718 2497 2718 2498 2718 2498 2718 2498 2718 2498 2718 2498 2718 2498 2718 2498 2718 2498 2718 2498 2718 201 doline 2498 2718 2499 2717 2499 2717 2499 2717 2620 2658 2620 2658 2621 2657 2621 2657 2621 2657 2621 2657 2622 2657 2622 2657 2622 2657 2622 2657 2622 2657 2622 2656 2622 2656 2623 2656 2623 2656 2623 2656 2623 2656 2624 2656 2624 2656 2624 2656 2624 2656 2626 2655 2626 2655 2626 2655 2626 2655 2627 2654 2627 2654 2646 2646 2647 2646 2647 2646 2648 2645 2648 2645 2649 2645 2649 2644 2650 2644 2650 2644 2650 2644 2651 2644 2748 2606 2749 2606 2749 2605 2751 2605 2755 2604 2774 2597 2774 2597 2774 2597 2774 2597 2775 2597 2775 2597 2776 2596 2776 2596 2777 2596 2777 2596 2777 2596 2777 2596 2778 2596 2778 2596 2778 2596 2778 2596 2778 2596 2778 2596 2778 2596 2778 2596 2779 2596 2779 2596 2779 2596 2779 2596 2779 2596 2780 2596 2780 2596 2780 2596 2780 2595 2780 2595 2780 2595 2780 2595 2781 2595 2902 2569 2902 2569 2902 2569 2902 2569 2903 2569 2903 2569 2903 2569 2904 2569 2904 2569 2904 2569 2904 2569 2904 2569 2904 2569 2904 2569 2904 2569 2905 2569 2907 2569 2907 2569 2907 2569 2907 2569 2908 2568 2908 2568 2908 2568 2909 2568 2927 2567 2928 2567 2928 2567 2928 2567 2929 2567 2929 2567 2929 2567 2930 2567 2930 2567 2932 2567 2932 2567 2933 2567 2933 2567 2934 2567 3056 2576 3056 2576 3056 2576 3057 2576 3058 2576 3058 2576 3058 2576 3058 2576 3058 2576 3059 2576 3060 2576 3060 2576 3060 2576 3061 2576 3061 2576 3061 2576 3061 2577 3061 2577 3184 2607 3184 2607 3184 2607 3184 2607 3185 2608 3186 2608 3186 2608 3186 2608 3186 2608 3186 2608 3187 2608 3187 2608 3188 2608 3188 2608 3188 2608 3189 2609 3189 2609 3190 2609 3190 2609 3190 2609 3209 2614 3210 2615 3210 2615 3212 2615 3212 2615 3212 2616 3212 2616 3214 2616 3214 2616 3215 2616 3215 2616 3216 2616 3314 2646 3315 2646 3316 2646 3318 2647 3337 2652 3337 2652 3338 2652 3338 2653 3339 2653 3339 2653 3339 2653 3340 2653 3340 2653 3340 2653 3340 2653 3340 2653 3340 2653 3341 2654 3341 2654 3342 2654 3343 2654 3343 2654 3343 2654 3343 2654 3344 2654 3466 2688 3466 2688 3466 2688 3466 2688 3466 2688 3467 2688 3467 2688 3468 2688 201 doline 3468 2688 3468 2688 3468 2689 3468 2689 3468 2689 3469 2689 3470 2689 3470 2689 3470 2689 3471 2689 3472 2690 3472 2690 3493 2695 3493 2695 3493 2695 3494 2695 3494 2695 3494 2695 3495 2696 3495 2696 3495 2696 3496 2696 3497 2696 3595 2719 3598 2720 3618 2724 3619 2724 3619 2724 3619 2724 3619 2724 3619 2724 3620 2724 3620 2724 3621 2724 3621 2724 3621 2724 3622 2725 3622 2725 3622 2725 3623 2725 3623 2725 3624 2725 3624 2725 3625 2725 3625 2725 3625 2725 3748 2747 3748 2747 3750 2748 3750 2748 3750 2748 3751 2748 3752 2748 3753 2748 3753 2748 3753 2748 3753 2748 3772 2751 3774 2752 3774 2752 3775 2752 3777 2752 3777 2752 3779 2752 3779 2752 3875 2768 3878 2768 3900 2771 3900 2771 3901 2771 3902 2772 3902 2772 3902 2772 3902 2772 3904 2772 3905 2772 3905 2772 3905 2772 3905 2772 3906 2772 3907 2772 4028 2788 4029 2788 4029 2788 4030 2788 4030 2788 4030 2788 4030 2788 4033 2789 4033 2789 4034 2789 4035 2789 4035 2789 4054 2791 4157 2798 4161 2798 4182 2798 4182 2798 4182 2798 4182 2798 4183 2798 4183 2798 4183 2798 4186 2799 4187 2799 4188 2799 4310 2793 4311 2793 4313 2793 4340 2790 4438 2770 4441 2770 4465 2763 4466 2763 4466 2763 4469 2762 4469 2762 4470 2762 4594 2717 4594 2716 4596 2716 4596 2715 4597 2715 4598 2715 4598 2715 4620 2704 4622 2704 4720 2654 4722 2652 4722 2652 4724 2651 4746 2638 4747 2638 4749 2637 4749 2636 4750 2636 4750 2636 4751 2636 4751 2636 4874 2562 4874 2561 4876 2560 4877 2560 4877 2560 4877 2560 4878 2559 4904 2543 5003 2484 5006 2481 5007 2481 5028 2468 5032 2466 5159 2392 5160 2392 5161 2391 5186 2377 5283 2326 5288 2324 5314 2311 5437 2259 5440 2258 5443 2257 5443 2257 5590 2218 5594 2217 5718 2200 5719 2200 5720 2200 5721 2200 5847 2195 5849 2195 5871 2195 5874 2195 6003 2202 6004 2202 6006 2202 6028 2203 6129 2210 6130 2210 6438 2220 6566 2203 6566 2203 6567 2203 6719 2158 6720 2157 6723 2156 6847 2095 6847 2094 6850 2093 6873 2079 7003 1987 7129 1877 7256 1746 7282 1717 7282 1717 7410 1565 7411 1564 7436 1533 7690 1210 7691 1208 7693 1205 201 doline 7693 1205 7977 834 8126 667 8255 548 8540 354 8691 280 8817 227 9380 22 9795 -89 10223 -129 11354 142 13734 1528 14735 2131 19238 4867 14 doline grestore % end of clipping % Data Set 6: 12 setlinewidth solid setdash /linestyle {solid} def gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line 32 setlinewidth solid setdash /linestyle {solid} def 32 setlinewidth dotted setdash /linestyle {dotted} def % Draw data line newpath -322 3892 -320 3891 -320 3891 -319 3890 -163 3786 -36 3726 681 3470 681 3470 934 3371 935 3370 935 3370 959 3360 960 3359 1085 3305 1085 3305 1086 3305 1088 3304 1088 3304 1090 3303 1213 3259 1214 3259 1217 3258 1218 3258 1242 3251 1244 3250 1245 3250 1343 3231 1366 3228 1366 3228 1367 3228 1367 3228 1367 3228 1367 3228 1368 3228 1368 3228 1368 3228 1369 3228 1369 3228 1369 3228 1370 3228 1370 3228 1370 3228 1370 3228 1371 3228 1371 3228 1494 3228 1494 3228 1496 3228 1496 3228 1496 3228 1496 3228 1497 3228 1497 3228 1497 3228 1497 3228 1498 3228 1498 3228 1500 3228 1500 3228 1500 3228 1500 3228 1501 3228 1520 3230 1521 3231 1521 3231 1522 3231 1522 3231 1523 3231 1524 3231 1525 3231 1525 3231 1526 3232 1623 3251 1624 3251 1648 3257 1648 3257 1648 3257 1648 3257 1648 3257 1648 3257 1648 3257 1649 3257 1649 3258 1649 3258 1649 3258 1650 3258 1650 3258 1650 3258 1650 3258 1650 3258 1650 3258 1650 3258 1651 3258 1651 3258 1651 3258 1651 3258 1651 3258 1652 3258 1652 3258 1653 3258 1653 3258 1653 3258 1654 3259 1654 3259 1654 3259 1654 3259 1775 3288 1775 3288 1776 3288 1776 3288 1776 3288 1776 3288 1776 3288 1777 3288 1777 3288 1778 3289 1778 3289 1778 3289 1778 3289 1778 3289 1778 3289 1778 3289 1779 3289 1779 3289 1779 3289 1780 3289 1780 3289 1780 3289 1780 3289 1780 3289 1780 3289 1780 3289 1781 3289 1781 3289 1781 3289 1781 3289 1781 3289 1781 3289 1782 3289 1782 3289 1782 3289 1782 3289 1782 3289 1802 3292 1803 3293 1804 3293 1804 3293 1804 3293 1804 3293 1804 3293 1806 3293 1806 3293 1806 3293 1807 3293 1807 3293 1807 3293 1808 3293 1904 3296 1904 3296 1906 3296 1906 3296 1906 3296 1910 3296 1910 3296 1929 3293 1929 3293 1929 3293 1929 3293 1929 3293 1929 3293 1930 3293 1930 3293 1930 3293 1930 3293 1930 3293 1930 3293 1930 3293 1930 3293 1930 3293 1930 3293 1931 3293 1931 3293 1931 3293 1931 3293 1931 3293 1932 3293 1932 3293 1932 3293 1932 3293 1932 3293 1932 3293 1932 3293 1933 3292 1933 3292 1934 3292 1934 3292 1934 3292 1934 3292 1934 3292 1934 3292 1934 3292 201 doline 1934 3292 1934 3292 1935 3292 1935 3292 1935 3292 1936 3292 1936 3292 1936 3292 1936 3292 1936 3292 1936 3292 2057 3253 2058 3252 2058 3252 2058 3252 2058 3252 2058 3252 2058 3252 2058 3252 2058 3252 2058 3252 2059 3252 2059 3252 2059 3252 2060 3252 2060 3252 2060 3252 2060 3252 2060 3251 2060 3251 2060 3251 2060 3251 2061 3251 2061 3251 2062 3250 2062 3250 2062 3250 2062 3250 2062 3250 2062 3250 2063 3250 2063 3250 2063 3250 2064 3250 2064 3250 2083 3240 2083 3240 2084 3240 2084 3240 2084 3239 2086 3239 2087 3238 2087 3238 2087 3238 2088 3238 2088 3237 2088 3237 2088 3237 2088 3237 2089 3237 2089 3237 2186 3183 2186 3182 2188 3181 2188 3181 2189 3181 2211 3169 2211 3168 2211 3168 2211 3168 2211 3168 2211 3168 2212 3168 2212 3168 2212 3168 2212 3168 2212 3168 2212 3168 2213 3168 2213 3168 2213 3168 2213 3167 2213 3167 2214 3167 2214 3167 2214 3167 2214 3167 2214 3167 2214 3167 2215 3166 2215 3166 2215 3166 2215 3166 2215 3166 2216 3166 2216 3166 2216 3166 2216 3166 2216 3166 2216 3166 2216 3166 2217 3165 2217 3165 2217 3165 2217 3165 2217 3165 2218 3165 2339 3103 2339 3103 2339 3103 2339 3102 2340 3102 2340 3102 2340 3102 2340 3102 2340 3102 2341 3102 2341 3102 2341 3102 2342 3101 2342 3101 2342 3101 2342 3101 2343 3100 2344 3100 2344 3100 2344 3100 2344 3100 2345 3100 2345 3100 2345 3100 2345 3100 2345 3100 2346 3099 2364 3090 2364 3090 2365 3090 2365 3090 2365 3090 2366 3090 2366 3089 2366 3089 2367 3089 2367 3089 2367 3089 2367 3089 2368 3088 2368 3088 2368 3088 2369 3088 2369 3088 2370 3087 2370 3087 2371 3087 2371 3087 2468 3040 2468 3040 2470 3038 2470 3038 2471 3038 2472 3038 2472 3038 2492 3028 2493 3028 2493 3028 2493 3028 2493 3028 2494 3028 2494 3028 2494 3027 2494 3027 2494 3027 2495 3027 2495 3027 2496 3026 2496 3026 2496 3026 2496 3026 2496 3026 2496 3026 2496 3026 2496 3026 2496 3026 2496 3026 2496 3026 2496 3026 2497 3026 2497 3026 2497 3026 2497 3026 2497 3026 2497 3026 2498 3026 2498 3026 2498 3026 2498 3026 2498 3026 2498 3026 2498 3025 2498 3025 2498 3025 201 doline 2498 3025 2499 3025 2499 3025 2499 3025 2620 2973 2620 2973 2621 2973 2621 2973 2621 2973 2621 2972 2622 2972 2622 2972 2622 2972 2622 2972 2622 2972 2622 2972 2622 2972 2623 2972 2623 2972 2623 2972 2623 2972 2624 2972 2624 2972 2624 2972 2624 2971 2626 2971 2626 2971 2626 2971 2626 2971 2627 2970 2627 2970 2646 2963 2647 2963 2647 2963 2648 2963 2648 2962 2649 2962 2649 2962 2650 2962 2650 2962 2650 2962 2651 2962 2748 2932 2749 2932 2749 2931 2751 2931 2755 2930 2774 2925 2774 2925 2774 2925 2774 2925 2775 2925 2775 2925 2776 2925 2776 2925 2777 2925 2777 2925 2777 2925 2777 2925 2778 2924 2778 2924 2778 2924 2778 2924 2778 2924 2778 2924 2778 2924 2778 2924 2779 2924 2779 2924 2779 2924 2779 2924 2779 2924 2780 2924 2780 2924 2780 2924 2780 2924 2780 2924 2780 2924 2780 2924 2781 2924 2902 2909 2902 2909 2902 2909 2902 2909 2903 2909 2903 2909 2903 2909 2904 2909 2904 2909 2904 2909 2904 2909 2904 2909 2904 2909 2904 2909 2904 2909 2905 2909 2907 2909 2907 2909 2907 2909 2907 2909 2908 2909 2908 2909 2908 2909 2909 2909 2927 2909 2928 2909 2928 2910 2928 2910 2929 2910 2929 2910 2929 2910 2930 2910 2930 2910 2932 2910 2932 2910 2933 2910 2933 2910 2934 2910 3056 2930 3056 2930 3056 2930 3057 2930 3058 2930 3058 2930 3058 2930 3058 2930 3058 2930 3059 2930 3060 2930 3060 2930 3060 2930 3061 2931 3061 2931 3061 2931 3061 2931 3061 2931 3184 2969 3184 2969 3184 2969 3184 2969 3185 2970 3186 2970 3186 2970 3186 2970 3186 2970 3186 2970 3187 2970 3187 2970 3188 2970 3188 2970 3188 2970 3189 2971 3189 2971 3190 2971 3190 2971 3190 2971 3209 2978 3210 2978 3210 2978 3212 2979 3212 2979 3212 2979 3212 2979 3214 2980 3214 2980 3215 2980 3215 2980 3216 2980 3314 3015 3315 3016 3316 3016 3318 3017 3337 3024 3337 3024 3338 3024 3338 3024 3339 3024 3339 3024 3339 3024 3340 3024 3340 3024 3340 3025 3340 3025 3340 3025 3340 3025 3341 3025 3341 3025 3342 3025 3343 3026 3343 3026 3343 3026 3343 3026 3344 3026 3466 3069 3466 3069 3466 3070 3466 3070 3466 3070 3467 3070 3467 3070 3468 3070 201 doline 3468 3070 3468 3070 3468 3070 3468 3070 3468 3070 3469 3070 3470 3071 3470 3071 3470 3071 3471 3071 3472 3072 3472 3072 3493 3079 3493 3079 3493 3079 3494 3080 3494 3080 3494 3080 3495 3080 3495 3080 3495 3080 3496 3080 3497 3081 3595 3116 3598 3116 3618 3124 3619 3124 3619 3124 3619 3124 3619 3124 3619 3124 3620 3124 3620 3124 3621 3125 3621 3125 3621 3125 3622 3125 3622 3125 3622 3125 3623 3125 3623 3125 3624 3126 3624 3126 3625 3126 3625 3126 3625 3126 3748 3168 3748 3168 3750 3169 3750 3169 3750 3169 3751 3169 3752 3170 3753 3170 3753 3170 3753 3170 3753 3170 3772 3176 3774 3177 3774 3177 3775 3178 3777 3178 3777 3178 3779 3179 3779 3179 3875 3213 3878 3214 3900 3222 3900 3222 3901 3222 3902 3222 3902 3222 3902 3222 3902 3222 3904 3223 3905 3223 3905 3223 3905 3223 3905 3224 3906 3224 3907 3224 4028 3266 4029 3266 4029 3266 4030 3266 4030 3266 4030 3266 4030 3266 4033 3267 4033 3267 4034 3268 4035 3268 4035 3268 4054 3274 4157 3303 4161 3304 4182 3308 4182 3308 4182 3308 4182 3308 4183 3308 4183 3308 4183 3309 4186 3309 4187 3309 4188 3310 4310 3326 4311 3327 4313 3327 4340 3328 4438 3322 4441 3322 4465 3318 4466 3318 4466 3318 4469 3318 4469 3318 4470 3318 4594 3288 4594 3288 4596 3288 4596 3288 4597 3287 4598 3287 4598 3287 4620 3280 4622 3280 4720 3244 4722 3244 4722 3244 4724 3243 4746 3234 4747 3234 4749 3233 4749 3233 4750 3233 4750 3233 4751 3232 4751 3232 4874 3185 4874 3185 4876 3184 4877 3184 4877 3184 4877 3184 4878 3184 4904 3174 5003 3140 5006 3139 5007 3139 5028 3132 5032 3130 5159 3091 5160 3091 5161 3090 5186 3083 5283 3056 5288 3055 5314 3048 5437 3026 5440 3025 5443 3025 5443 3025 5590 3014 5594 3014 5718 3021 5719 3021 5720 3021 5721 3021 5847 3040 5849 3040 5871 3044 5874 3045 6003 3074 6004 3074 6006 3075 6028 3081 6129 3107 6130 3107 6438 3145 6566 3140 6566 3140 6567 3140 6719 3106 6720 3106 6723 3104 6847 3052 6847 3052 6850 3050 6873 3038 7003 2959 7129 2864 7256 2759 7282 2736 7282 2736 7410 2619 7411 2618 7436 2594 7690 2335 7691 2334 7693 2332 201 doline 7693 2332 7977 2088 8126 1984 8255 1903 8540 1754 8691 1695 8817 1661 9380 1681 9795 1806 10223 1968 11354 2480 13734 4328 14735 5448 19238 9533 14 doline grestore % end of clipping 32 setlinewidth solid setdash /linestyle {solid} def /fillcolor {0.0 0.0 0.0} def /patternw 144 def /symbsiz 144 def /symbw 288 def /symbh 288 def /ori 90.00 def /showmark {plotsymb} def /symbary [0 191 -288 -144 0 288 288 -144] def % Triangle /fillcolor {1.0 1.0 1.0} def -412 1497 1 {showmark} repeat /fillcolor {1.0 1.0 1.0} def /patternw 144 def /symbsiz 146 def /symbw 292 def /symbh 288 def /ori 90.00 def /showmark {plotsymb} def /symbary [0 191 -288 -146 0 292 288 -146] def % Triangle /fillcolor {1.0 1.0 1.0} def -335 -4998 1 {showmark} repeat 25 setlinewidth dashed setdash /linestyle {dashed} def /fillcolor {1.0 1.0 1.0} def newpath 960 2661 6080 2661 2 doline /fontsiz 457 def /spacesiz 30 def /fontsiz 457 def /spacesiz 30 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 38 def /txtpos [0.50 0.50] def 3616 -138 (Time \(s\)) sprnt /txtpos [0.00 0.00] def /fontsiz 343 def /spacesiz 22 def /fontsiz 343 def /spacesiz 22 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 28 def /txtpos [0.50 1.00] def 960 697 (0.5) sprnt 2240 697 (1.0) sprnt 3520 697 (1.5) sprnt 4800 697 (2.0) sprnt 6080 697 (2.5) sprnt /txtpos [1.00 0.35] def 697 960 (-1.0) sprnt 697 1810 (-0.5) sprnt 697 2661 (0.0) sprnt 697 3511 (0.5) sprnt 697 4362 (1.0) sprnt solid setdash % Graph number 4 0 -5734 translate 6 setlinewidth solid setdash /linestyle {solid} def 960 832 6080 832 960 832 960 761 2240 832 2240 761 3520 832 3520 761 4800 832 4800 761 6080 832 6080 761 6 dopairs 832 960 832 4429 832 960 761 960 832 1827 761 1827 832 2694 761 2694 832 3561 761 3561 832 4429 761 4429 6 dopairs % Data Set 1: 12 setlinewidth solid setdash /linestyle {solid} def /patternw 64 def /symbsiz 64 def /symbw 128 def /symbh 128 def /ori 0.00 def /showmark {pop pop} def gsave newpath 832 832 moveto 832 4429 lineto 6080 4429 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -318 845 -189 921 -163 936 243 1172 370 1244 373 1246 522 1331 654 1406 678 1419 1087 1645 1088 1645 1088 1646 1215 1714 1243 1729 1366 1795 1366 1795 1494 1863 1495 1864 1497 1864 1522 1878 1523 1878 1526 1880 1628 1934 1647 1944 1648 1944 1649 1945 1651 1946 1652 1946 1652 1947 1653 1947 1653 1947 1653 1947 1654 1947 1776 2012 1777 2012 1781 2014 1781 2014 1781 2014 1801 2025 1801 2025 1802 2025 1802 2026 1804 2027 1807 2028 1904 2080 1907 2081 1929 2093 1929 2093 1930 2093 1930 2093 1930 2093 1932 2094 1932 2094 1932 2094 1932 2094 1932 2094 1932 2094 1933 2095 1933 2095 1934 2095 1936 2096 1936 2096 2057 2161 2058 2162 2058 2162 2060 2162 2060 2162 2061 2163 2061 2163 2062 2164 2082 2174 2083 2175 2084 2175 2084 2175 2085 2176 2086 2176 2086 2176 2086 2176 2088 2178 2089 2178 2190 2232 2211 2243 2211 2243 2212 2244 2212 2244 2212 2244 2212 2244 2212 2244 2212 2244 2213 2244 2213 2244 2213 2244 2214 2245 2214 2245 2215 2245 2215 2245 2215 2245 2216 2246 2216 2246 2216 2246 2216 2246 2217 2246 2217 2246 2338 2310 2338 2310 2338 2310 2339 2310 2339 2310 2339 2310 2340 2310 2340 2311 2340 2311 2340 2311 2341 2311 2341 2312 2342 2312 2342 2312 2342 2312 2342 2312 2343 2312 2343 2312 2343 2312 2343 2312 2343 2312 2344 2313 2344 2313 2364 2323 2366 2324 2367 2325 2368 2325 2368 2326 2369 2326 2467 2374 2468 2374 2469 2375 2470 2375 2471 2376 2492 2386 2492 2386 2493 2386 2493 2386 2493 2386 2494 2386 2495 2387 2496 2387 2496 2387 2496 2387 2496 2387 2496 2387 2497 2388 2497 2388 2497 2388 2497 2388 2498 2388 2498 2388 2498 2388 2498 2388 2498 2388 2499 2388 2499 2389 2620 2443 2620 2443 2620 2443 2621 2443 2621 2443 2621 2443 2622 2444 2622 2444 2623 2444 2623 2444 2623 2444 2623 2444 2624 2444 2624 2444 2625 2445 2625 2445 2625 2445 2627 2446 2627 2446 2646 2454 2646 2454 2647 2454 2648 2455 2648 2455 2649 2455 2649 2455 2650 2455 2650 2456 2650 2456 2650 2456 2651 2456 2651 2456 2651 2456 2652 2456 2750 2496 2750 2496 2751 2497 2752 2497 2754 2498 2754 2498 2755 2498 201 doline 2755 2498 2755 2498 2774 2506 2774 2506 2774 2506 2774 2506 2775 2506 2775 2506 2775 2506 2775 2506 2776 2507 2776 2507 2776 2507 2776 2507 2776 2507 2777 2507 2778 2508 2778 2508 2778 2508 2778 2508 2778 2508 2778 2508 2779 2508 2779 2508 2780 2508 2780 2508 2780 2508 2780 2508 2781 2509 2781 2509 2902 2553 2902 2553 2902 2553 2904 2554 2904 2554 2904 2554 2905 2554 2906 2554 2906 2554 2906 2555 2908 2555 2928 2562 2928 2562 2929 2562 2930 2563 2934 2564 3030 2595 3031 2595 3031 2595 3032 2596 3032 2596 3033 2596 3034 2596 3034 2596 3034 2596 3034 2596 3035 2596 3056 2603 3056 2603 3056 2603 3056 2603 3056 2603 3057 2603 3057 2603 3057 2603 3058 2603 3058 2603 3058 2603 3058 2603 3058 2604 3058 2604 3059 2604 3059 2604 3059 2604 3059 2604 3060 2604 3060 2604 3060 2604 3060 2604 3060 2604 3060 2604 3061 2604 3062 2604 3062 2604 3184 2638 3184 2638 3184 2638 3184 2638 3185 2638 3185 2639 3186 2639 3186 2639 3187 2639 3187 2639 3187 2639 3188 2639 3188 2640 3188 2640 3189 2640 3189 2640 3189 2640 3209 2645 3211 2646 3212 2646 3212 2646 3214 2646 3312 2672 3314 2673 3315 2673 3315 2673 3316 2673 3337 2679 3338 2679 3338 2679 3338 2679 3339 2679 3340 2680 3340 2680 3340 2680 3340 2680 3342 2680 3342 2680 3342 2680 3343 2680 3465 2713 3466 2713 3466 2713 3466 2713 3466 2713 3466 2713 3466 2713 3466 2713 3466 2713 3466 2713 3466 2713 3467 2713 3467 2713 3467 2713 3467 2713 3467 2713 3468 2714 3468 2714 3469 2714 3470 2714 3472 2714 3491 2720 3491 2720 3492 2720 3493 2720 3593 2746 3594 2746 3595 2746 3599 2747 3599 2747 3619 2752 3620 2752 3620 2752 3620 2752 3621 2753 3621 2753 3622 2753 3622 2753 3623 2753 3623 2753 3623 2753 3624 2753 3624 2754 3625 2754 3625 2754 3747 2780 3748 2780 3749 2780 3749 2780 3749 2780 3750 2780 3751 2781 3751 2781 3752 2781 3752 2781 3752 2781 3752 2781 3752 2781 3753 2781 3753 2781 3773 2784 3773 2784 3774 2785 3774 2785 3774 2785 3776 2785 3776 2785 3777 2785 3777 2785 3778 2785 3778 2786 3875 2798 3876 2798 3876 2798 3880 2798 3901 2800 3901 2800 201 doline 3901 2800 3901 2800 3902 2800 3903 2800 3904 2800 3904 2800 3904 2800 3904 2800 3905 2801 3905 2801 3905 2801 3905 2801 3906 2801 3906 2801 4029 2805 4029 2805 4029 2805 4029 2805 4030 2805 4030 2805 4031 2805 4031 2805 4032 2805 4032 2804 4035 2804 4055 2804 4055 2804 4055 2804 4056 2804 4056 2804 4058 2804 4058 2804 4059 2804 4060 2804 4156 2802 4158 2802 4160 2802 4160 2802 4160 2802 4160 2802 4162 2802 4162 2802 4182 2801 4183 2801 4183 2801 4184 2801 4184 2801 4185 2801 4185 2801 4186 2801 4187 2801 4188 2800 4188 2800 4188 2800 4310 2795 4310 2795 4311 2795 4312 2795 4312 2795 4312 2795 4312 2795 4314 2795 4314 2795 4316 2794 4316 2794 4316 2794 4316 2794 4316 2794 4336 2793 4336 2793 4340 2793 4438 2787 4444 2787 4464 2786 4465 2786 4465 2786 4466 2785 4466 2785 4467 2785 4467 2785 4468 2785 4468 2785 4468 2785 4469 2785 4592 2777 4592 2777 4593 2777 4594 2777 4594 2777 4595 2777 4595 2777 4595 2777 4596 2777 4598 2776 4598 2776 4617 2775 4617 2775 4720 2767 4722 2767 4725 2766 4745 2764 4746 2764 4747 2764 4747 2764 4748 2764 4748 2764 4749 2764 4749 2764 4750 2764 4873 2748 4876 2748 4876 2748 4877 2748 4878 2748 4879 2748 4879 2748 4879 2748 4880 2748 5001 2726 5002 2726 5002 2726 5004 2726 5005 2726 5008 2725 5028 2721 5029 2721 5031 2720 5032 2720 5032 2720 5032 2720 5154 2692 5156 2692 5157 2692 5158 2691 5159 2691 5160 2691 5160 2691 5160 2691 5160 2691 5161 2690 5180 2686 5184 2685 5184 2684 5186 2684 5283 2656 5286 2656 5287 2655 5311 2648 5312 2648 5312 2648 5313 2647 5314 2647 5436 2604 5437 2604 5438 2604 5438 2604 5438 2604 5442 2602 5466 2593 5466 2593 5564 2553 5566 2552 5590 2542 5590 2542 5591 2542 5591 2542 5593 2541 5593 2541 5593 2541 5596 2540 5597 2539 5719 2484 5720 2484 5722 2482 5723 2482 5724 2482 5724 2482 5746 2471 5846 2423 5853 2420 5871 2411 5872 2410 5873 2410 5876 2409 5877 2408 5878 2408 6000 2348 6000 2348 6002 2348 6003 2347 6003 2346 6003 2346 6004 2346 6004 2346 6005 2346 6005 2346 6006 2345 6026 2336 6155 2275 6155 2275 6158 2274 201 doline 6158 2274 6158 2274 6158 2274 6160 2273 6281 2220 6282 2220 6283 2219 6283 2219 6286 2218 6286 2218 6286 2218 6287 2218 6312 2207 6412 2168 6412 2168 6437 2159 6439 2159 6439 2159 6440 2158 6441 2158 6566 2118 6566 2118 6567 2117 6568 2117 6588 2111 6716 2079 6721 2078 6722 2078 6723 2078 6847 2056 6847 2056 6848 2056 6972 2044 6973 2044 6976 2044 7000 2042 7000 2042 7002 2042 7126 2042 7129 2043 7254 2056 7258 2056 7280 2060 7281 2060 7282 2060 7283 2060 7284 2060 7284 2060 7286 2061 7410 2090 7414 2091 7536 2134 7566 2146 7690 2204 7690 2204 7846 2289 7976 2370 8102 2453 8105 2454 8126 2469 8130 2471 8130 2472 8131 2472 8253 2554 8253 2554 8254 2554 8256 2556 8380 2640 8384 2643 8410 2661 8411 2661 8662 2830 8665 2832 8666 2832 8667 2833 8689 2847 8689 2847 8816 2926 8816 2926 8817 2927 8817 2927 8819 2928 8821 2930 8842 2942 8945 3001 8971 3015 9099 3081 9102 3083 9226 3138 9379 3194 9380 3194 9381 3194 9509 3228 9510 3228 9537 3233 9661 3250 9661 3250 9664 3250 9790 3255 9817 3255 9943 3251 9944 3251 9945 3251 9946 3251 10070 3243 10203 3230 10224 3228 10228 3228 10230 3228 10352 3214 10358 3214 10381 3211 10506 3196 10507 3196 10635 3181 10636 3181 10663 3178 10789 3162 10792 3162 10943 3142 11198 3100 11481 3036 11483 3036 11484 3035 11760 2946 11889 2894 11915 2883 11917 2882 11917 2882 12324 2675 12326 2674 12604 2504 12760 2402 12762 2401 13044 2208 13199 2101 13299 2032 13476 1910 13603 1826 14014 1572 14423 1368 14454 1354 14578 1305 14605 1294 14863 1212 15140 1151 15166 1147 15706 1108 15830 1111 16270 1154 16988 1303 17524 1457 17546 1464 19083 2040 19216 2096 19521 2229 25001 4232 157 doline grestore % end of clipping % Data Set 2: gsave newpath 832 832 moveto 832 4429 lineto 6080 4429 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -318 -832 -189 -624 -163 -582 243 10 370 176 373 179 522 366 654 523 678 551 1087 986 1088 986 1088 987 1215 1112 1243 1139 1366 1254 1366 1255 1494 1370 1495 1371 1497 1372 1522 1394 1523 1396 1526 1398 1628 1488 1647 1504 1648 1504 1649 1504 1651 1506 1652 1507 1652 1508 1653 1508 1653 1508 1653 1508 1654 1509 1776 1610 1777 1611 1781 1614 1781 1614 1781 1614 1801 1630 1801 1630 1802 1631 1802 1631 1804 1633 1807 1635 1904 1712 1907 1714 1929 1731 1929 1731 1930 1731 1930 1732 1930 1732 1932 1733 1932 1733 1932 1733 1932 1733 1932 1733 1932 1733 1933 1734 1933 1734 1934 1734 1936 1736 1936 1736 2057 1827 2058 1828 2058 1828 2060 1829 2060 1829 2061 1830 2061 1830 2062 1831 2082 1845 2083 1846 2084 1846 2084 1846 2085 1847 2086 1848 2086 1848 2086 1848 2088 1850 2089 1850 2190 1921 2211 1936 2211 1936 2212 1936 2212 1936 2212 1936 2212 1937 2212 1937 2212 1937 2213 1937 2213 1937 2213 1937 2214 1938 2214 1938 2215 1938 2215 1938 2215 1938 2216 1939 2216 1939 2216 1940 2216 1940 2217 1940 2217 1940 2338 2020 2338 2020 2338 2020 2339 2020 2339 2020 2339 2020 2340 2020 2340 2021 2340 2021 2340 2021 2341 2021 2341 2021 2342 2021 2342 2022 2342 2022 2342 2022 2343 2022 2343 2022 2343 2022 2343 2022 2343 2022 2344 2023 2344 2023 2364 2036 2366 2036 2367 2037 2368 2038 2368 2038 2369 2038 2467 2095 2468 2096 2469 2096 2470 2097 2471 2098 2492 2109 2492 2109 2493 2109 2493 2109 2493 2110 2494 2110 2495 2110 2496 2111 2496 2111 2496 2111 2496 2111 2496 2111 2497 2111 2497 2112 2497 2112 2497 2112 2498 2112 2498 2112 2498 2112 2498 2112 2498 2112 2499 2112 2499 2112 2620 2173 2620 2173 2620 2173 2621 2174 2621 2174 2621 2174 2622 2174 2622 2174 2623 2174 2623 2174 2623 2174 2623 2175 2624 2175 2624 2175 2625 2175 2625 2176 2625 2176 2627 2176 2627 2176 2646 2185 2646 2186 2647 2186 2648 2186 2648 2186 2649 2186 2649 2186 2650 2187 2650 2187 2650 2187 2650 2187 2651 2187 2651 2188 2651 2188 2652 2188 2750 2230 2750 2230 2751 2231 2752 2231 2754 2232 2754 2232 2755 2232 201 doline 2755 2232 2755 2232 2774 2240 2774 2240 2774 2240 2774 2240 2775 2240 2775 2240 2775 2240 2775 2240 2776 2241 2776 2241 2776 2241 2776 2241 2776 2241 2777 2241 2778 2242 2778 2242 2778 2242 2778 2242 2778 2242 2778 2242 2779 2242 2779 2242 2780 2242 2780 2242 2780 2243 2780 2243 2781 2243 2781 2243 2902 2287 2902 2287 2902 2287 2904 2288 2904 2288 2904 2288 2905 2288 2906 2288 2906 2288 2906 2288 2908 2289 2928 2296 2928 2296 2929 2296 2930 2296 2934 2298 3030 2327 3031 2327 3031 2327 3032 2328 3032 2328 3033 2328 3034 2328 3034 2328 3034 2328 3034 2328 3035 2328 3056 2334 3056 2334 3056 2334 3056 2334 3056 2334 3057 2334 3057 2335 3057 2335 3058 2335 3058 2335 3058 2335 3058 2335 3058 2335 3058 2335 3059 2335 3059 2335 3059 2335 3059 2335 3060 2335 3060 2335 3060 2335 3060 2336 3060 2336 3060 2336 3061 2336 3062 2336 3062 2336 3184 2366 3184 2366 3184 2366 3184 2367 3185 2367 3185 2367 3186 2367 3186 2367 3187 2367 3187 2367 3187 2367 3188 2368 3188 2368 3188 2368 3189 2368 3189 2368 3189 2368 3209 2372 3211 2373 3212 2373 3212 2373 3214 2374 3312 2396 3314 2397 3315 2397 3315 2397 3316 2397 3337 2402 3338 2402 3338 2402 3338 2402 3339 2402 3340 2403 3340 2403 3340 2403 3340 2403 3342 2403 3342 2403 3342 2403 3343 2403 3465 2432 3466 2432 3466 2432 3466 2432 3466 2432 3466 2432 3466 2432 3466 2432 3466 2432 3466 2432 3466 2432 3467 2432 3467 2432 3467 2432 3467 2432 3467 2432 3468 2432 3468 2432 3469 2433 3470 2433 3472 2433 3491 2438 3491 2438 3492 2438 3493 2438 3593 2460 3594 2461 3595 2461 3599 2462 3599 2462 3619 2466 3620 2466 3620 2466 3620 2466 3621 2466 3621 2466 3622 2466 3622 2466 3623 2467 3623 2467 3623 2467 3624 2467 3624 2467 3625 2467 3625 2467 3747 2489 3748 2489 3749 2489 3749 2489 3749 2489 3750 2489 3751 2490 3751 2490 3752 2490 3752 2490 3752 2490 3752 2490 3752 2490 3753 2490 3753 2490 3773 2492 3773 2492 3774 2492 3774 2492 3774 2493 3776 2493 3776 2493 3777 2493 3777 2493 3778 2493 3778 2493 3875 2502 3876 2502 3876 2502 3880 2502 3901 2503 3901 2503 201 doline 3901 2503 3901 2503 3902 2503 3903 2503 3904 2503 3904 2503 3904 2503 3904 2503 3905 2503 3905 2503 3905 2503 3905 2503 3906 2503 3906 2503 4029 2501 4029 2501 4029 2501 4029 2501 4030 2501 4030 2501 4031 2501 4031 2501 4032 2501 4032 2501 4035 2500 4055 2499 4055 2499 4055 2499 4056 2499 4056 2499 4058 2499 4058 2499 4059 2499 4060 2499 4156 2491 4158 2491 4160 2491 4160 2491 4160 2491 4160 2491 4162 2490 4162 2490 4182 2488 4183 2488 4183 2488 4184 2488 4184 2488 4185 2488 4185 2488 4186 2488 4187 2488 4188 2488 4188 2488 4188 2488 4310 2474 4310 2474 4311 2474 4312 2474 4312 2474 4312 2474 4312 2474 4314 2474 4314 2474 4316 2474 4316 2474 4316 2474 4316 2474 4316 2474 4336 2471 4336 2471 4340 2471 4438 2458 4444 2458 4464 2455 4465 2455 4465 2455 4466 2455 4466 2454 4467 2454 4467 2454 4468 2454 4468 2454 4468 2454 4469 2454 4592 2438 4592 2438 4593 2438 4594 2438 4594 2438 4595 2438 4595 2437 4595 2437 4596 2437 4598 2437 4598 2437 4617 2434 4617 2434 4720 2419 4722 2419 4725 2418 4745 2415 4746 2415 4747 2415 4747 2415 4748 2415 4748 2415 4749 2414 4749 2414 4750 2414 4873 2391 4876 2391 4876 2390 4877 2390 4878 2390 4879 2390 4879 2390 4879 2390 4880 2390 5001 2362 5002 2362 5002 2361 5004 2361 5005 2360 5008 2360 5028 2355 5029 2354 5031 2354 5032 2354 5032 2354 5032 2354 5154 2318 5156 2318 5157 2318 5158 2317 5159 2317 5160 2317 5160 2317 5160 2317 5160 2317 5161 2316 5180 2310 5184 2309 5184 2309 5186 2308 5283 2276 5286 2274 5287 2274 5311 2265 5312 2265 5312 2265 5313 2264 5314 2264 5436 2215 5437 2214 5438 2214 5438 2214 5438 2214 5442 2212 5466 2202 5466 2202 5564 2156 5566 2155 5590 2144 5590 2144 5591 2143 5591 2143 5593 2142 5593 2142 5593 2142 5596 2141 5597 2140 5719 2078 5720 2078 5722 2076 5723 2076 5724 2075 5724 2075 5746 2064 5846 2009 5853 2006 5871 1995 5872 1994 5873 1994 5876 1993 5877 1992 5878 1992 6000 1923 6000 1923 6002 1922 6003 1922 6003 1922 6003 1922 6004 1922 6004 1921 6005 1920 6005 1920 6006 1920 6026 1909 6155 1838 6155 1838 6158 1837 201 doline 6158 1837 6158 1836 6158 1836 6160 1836 6281 1772 6282 1772 6283 1771 6283 1771 6286 1770 6286 1770 6286 1770 6287 1769 6312 1756 6412 1709 6412 1709 6437 1697 6439 1696 6439 1696 6440 1696 6441 1696 6566 1643 6566 1643 6567 1643 6568 1642 6588 1634 6716 1590 6721 1588 6722 1588 6723 1588 6847 1554 6847 1554 6848 1554 6972 1530 6973 1530 6976 1530 7000 1526 7000 1526 7002 1526 7126 1516 7129 1515 7254 1518 7258 1518 7280 1520 7281 1520 7282 1520 7283 1520 7284 1520 7284 1520 7286 1520 7410 1540 7414 1541 7536 1575 7566 1586 7690 1637 7690 1637 7846 1715 7976 1792 8102 1872 8105 1873 8126 1887 8130 1890 8130 1890 8131 1890 8253 1970 8253 1970 8254 1970 8256 1972 8380 2054 8384 2057 8410 2075 8411 2075 8662 2238 8665 2240 8666 2240 8667 2241 8689 2254 8689 2254 8816 2330 8816 2330 8817 2330 8817 2330 8819 2332 8821 2333 8842 2345 8945 2400 8971 2414 9099 2474 9102 2476 9226 2526 9379 2574 9380 2574 9381 2574 9509 2601 9510 2601 9537 2605 9661 2615 9661 2615 9664 2615 9790 2612 9817 2611 9943 2598 9944 2597 9945 2597 9946 2597 10070 2579 10203 2555 10224 2551 10228 2550 10230 2550 10352 2524 10358 2523 10381 2518 10506 2490 10507 2490 10635 2460 10636 2460 10663 2453 10789 2423 10792 2422 10943 2386 11198 2315 11481 2217 11483 2216 11484 2216 11760 2100 11889 2035 11915 2021 11917 2020 11917 2020 12324 1780 12326 1778 12604 1582 12760 1465 12762 1463 13044 1251 13199 1135 13299 1059 13476 924 13603 828 14014 536 14423 306 14454 290 14578 228 14605 214 14863 100 15140 10 15166 4 15706 -67 15830 -71 16270 -73 16988 -65 17524 -30 17546 -28 19083 232 19216 256 19521 306 25001 -19 157 doline grestore % end of clipping % Data Set 3: gsave newpath 832 832 moveto 832 4429 lineto 6080 4429 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -318 2523 -189 2466 -163 2455 243 2334 370 2314 373 2313 522 2296 654 2288 678 2287 1087 2304 1088 2304 1088 2304 1215 2316 1243 2319 1366 2335 1366 2335 1494 2356 1495 2356 1497 2356 1522 2360 1523 2361 1526 2361 1628 2381 1647 2385 1648 2385 1649 2385 1651 2386 1652 2386 1652 2386 1653 2386 1653 2386 1653 2386 1654 2386 1776 2414 1777 2414 1781 2415 1781 2415 1781 2415 1801 2420 1801 2420 1802 2420 1802 2420 1804 2421 1807 2421 1904 2448 1907 2448 1929 2455 1929 2455 1930 2455 1930 2455 1930 2455 1932 2456 1932 2456 1932 2456 1932 2456 1932 2456 1932 2456 1933 2456 1933 2456 1934 2456 1936 2457 1936 2457 2057 2495 2058 2495 2058 2496 2060 2496 2060 2496 2061 2496 2061 2496 2062 2497 2082 2504 2083 2504 2084 2504 2084 2504 2085 2504 2086 2505 2086 2505 2086 2505 2088 2506 2089 2506 2190 2542 2211 2550 2211 2550 2212 2551 2212 2551 2212 2551 2212 2551 2212 2551 2212 2551 2213 2551 2213 2551 2213 2551 2214 2552 2214 2552 2215 2552 2215 2552 2215 2552 2216 2552 2216 2552 2216 2552 2216 2552 2217 2553 2217 2553 2338 2601 2338 2601 2338 2601 2339 2601 2339 2601 2339 2601 2340 2601 2340 2602 2340 2602 2340 2602 2341 2602 2341 2602 2342 2602 2342 2602 2342 2602 2342 2602 2343 2602 2343 2602 2343 2602 2343 2602 2343 2602 2344 2603 2344 2603 2364 2611 2366 2612 2367 2612 2368 2612 2368 2613 2369 2613 2467 2652 2468 2653 2469 2653 2470 2653 2471 2654 2492 2662 2492 2662 2493 2662 2493 2662 2493 2662 2494 2663 2495 2663 2496 2664 2496 2664 2496 2664 2496 2664 2496 2664 2497 2664 2497 2664 2497 2664 2497 2664 2498 2664 2498 2664 2498 2664 2498 2664 2498 2664 2499 2665 2499 2665 2620 2712 2620 2712 2620 2712 2621 2712 2621 2713 2621 2713 2622 2713 2622 2713 2623 2713 2623 2714 2623 2714 2623 2714 2624 2714 2624 2714 2625 2714 2625 2714 2625 2714 2627 2715 2627 2715 2646 2722 2646 2723 2647 2723 2648 2723 2648 2724 2649 2724 2649 2724 2650 2724 2650 2724 2650 2724 2650 2724 2651 2724 2651 2724 2651 2724 2652 2725 2750 2763 2750 2763 2751 2763 2752 2764 2754 2764 2754 2764 2755 2765 201 doline 2755 2765 2755 2765 2774 2772 2774 2772 2774 2772 2774 2772 2775 2772 2775 2772 2775 2772 2775 2772 2776 2773 2776 2773 2776 2773 2776 2773 2776 2773 2777 2773 2778 2773 2778 2774 2778 2774 2778 2774 2778 2774 2778 2774 2779 2774 2779 2774 2780 2774 2780 2774 2780 2774 2780 2774 2781 2774 2781 2774 2902 2819 2902 2819 2902 2819 2904 2820 2904 2820 2904 2820 2905 2820 2906 2820 2906 2820 2906 2821 2908 2821 2928 2828 2928 2828 2929 2829 2930 2829 2934 2830 3030 2863 3031 2863 3031 2863 3032 2863 3032 2864 3033 2864 3034 2864 3034 2864 3034 2864 3034 2864 3035 2864 3056 2871 3056 2871 3056 2871 3056 2871 3056 2871 3057 2872 3057 2872 3057 2872 3058 2872 3058 2872 3058 2872 3058 2872 3058 2872 3058 2872 3059 2872 3059 2872 3059 2872 3059 2872 3060 2872 3060 2872 3060 2872 3060 2872 3060 2872 3060 2873 3061 2873 3062 2873 3062 2873 3184 2910 3184 2910 3184 2910 3184 2910 3185 2910 3185 2910 3186 2911 3186 2911 3187 2911 3187 2911 3187 2911 3188 2911 3188 2911 3188 2912 3189 2912 3189 2912 3189 2912 3209 2918 3211 2918 3212 2918 3212 2918 3214 2919 3312 2948 3314 2948 3315 2949 3315 2949 3316 2949 3337 2955 3338 2956 3338 2956 3338 2956 3339 2956 3340 2956 3340 2956 3340 2956 3340 2956 3342 2957 3342 2957 3342 2957 3343 2957 3465 2994 3466 2994 3466 2994 3466 2994 3466 2994 3466 2994 3466 2994 3466 2994 3466 2994 3466 2994 3466 2994 3467 2994 3467 2994 3467 2994 3467 2994 3467 2994 3468 2994 3468 2994 3469 2995 3470 2995 3472 2996 3491 3001 3491 3001 3492 3002 3493 3002 3593 3031 3594 3031 3595 3032 3599 3033 3599 3033 3619 3038 3620 3039 3620 3039 3620 3039 3621 3039 3621 3039 3622 3039 3622 3039 3623 3040 3623 3040 3623 3040 3624 3040 3624 3040 3625 3040 3625 3040 3747 3071 3748 3071 3749 3072 3749 3072 3749 3072 3750 3072 3751 3072 3751 3072 3752 3072 3752 3072 3752 3072 3752 3072 3752 3072 3753 3072 3753 3072 3773 3077 3773 3077 3774 3077 3774 3077 3774 3077 3776 3077 3776 3077 3777 3078 3777 3078 3778 3078 3778 3078 3875 3094 3876 3094 3876 3095 3880 3095 3901 3098 3901 3098 201 doline 3901 3098 3901 3098 3902 3098 3903 3098 3904 3098 3904 3098 3904 3098 3904 3098 3905 3098 3905 3098 3905 3098 3905 3098 3906 3098 3906 3098 4029 3108 4029 3108 4029 3108 4029 3108 4030 3108 4030 3108 4031 3108 4031 3108 4032 3108 4032 3108 4035 3109 4055 3110 4055 3110 4055 3110 4056 3110 4056 3110 4058 3110 4058 3110 4059 3110 4060 3110 4156 3113 4158 3113 4160 3113 4160 3113 4160 3113 4160 3113 4162 3113 4162 3113 4182 3113 4183 3113 4183 3113 4184 3113 4184 3113 4185 3113 4185 3113 4186 3113 4187 3113 4188 3113 4188 3113 4188 3113 4310 3115 4310 3115 4311 3115 4312 3115 4312 3115 4312 3115 4312 3115 4314 3115 4314 3115 4316 3115 4316 3115 4316 3115 4316 3115 4316 3115 4336 3116 4336 3116 4340 3116 4438 3116 4444 3116 4464 3116 4465 3116 4465 3116 4466 3116 4466 3116 4467 3116 4467 3116 4468 3116 4468 3116 4468 3116 4469 3116 4592 3116 4592 3116 4593 3116 4594 3116 4594 3116 4595 3116 4595 3116 4595 3116 4596 3116 4598 3116 4598 3116 4617 3116 4617 3116 4720 3114 4722 3114 4725 3114 4745 3114 4746 3114 4747 3114 4747 3114 4748 3114 4748 3114 4749 3114 4749 3114 4750 3114 4873 3106 4876 3106 4876 3106 4877 3105 4878 3105 4879 3105 4879 3105 4879 3105 4880 3105 5001 3092 5002 3091 5002 3091 5004 3091 5005 3091 5008 3090 5028 3088 5029 3088 5031 3087 5032 3087 5032 3087 5032 3087 5154 3066 5156 3066 5157 3066 5158 3066 5159 3065 5160 3065 5160 3065 5160 3065 5160 3065 5161 3065 5180 3061 5184 3060 5184 3060 5186 3060 5283 3038 5286 3037 5287 3036 5311 3030 5312 3030 5312 3030 5313 3030 5314 3030 5436 2994 5437 2994 5438 2994 5438 2994 5438 2994 5442 2992 5466 2984 5466 2984 5564 2950 5566 2950 5590 2941 5590 2941 5591 2940 5591 2940 5593 2940 5593 2939 5593 2939 5596 2938 5597 2938 5719 2890 5720 2890 5722 2889 5723 2888 5724 2888 5724 2888 5746 2879 5846 2837 5853 2834 5871 2827 5872 2826 5873 2826 5876 2825 5877 2824 5878 2824 6000 2773 6000 2773 6002 2772 6003 2772 6003 2772 6003 2772 6004 2772 6004 2771 6005 2771 6005 2771 6006 2770 6026 2762 6155 2712 6155 2712 6158 2711 201 doline 6158 2711 6158 2711 6158 2711 6160 2710 6281 2668 6282 2667 6283 2667 6283 2667 6286 2666 6286 2666 6286 2666 6287 2666 6312 2657 6412 2628 6412 2628 6437 2621 6439 2621 6439 2621 6440 2620 6441 2620 6566 2592 6566 2592 6567 2592 6568 2592 6588 2588 6716 2568 6721 2568 6722 2568 6723 2568 6847 2558 6847 2558 6848 2558 6972 2557 6973 2557 6976 2557 7000 2558 7000 2558 7002 2558 7126 2570 7129 2570 7254 2593 7258 2594 7280 2600 7281 2600 7282 2600 7283 2601 7284 2601 7284 2601 7286 2601 7410 2640 7414 2642 7536 2692 7566 2706 7690 2770 7690 2771 7846 2864 7976 2948 8102 3034 8105 3036 8126 3051 8130 3053 8130 3053 8131 3054 8253 3138 8253 3138 8254 3138 8256 3140 8380 3226 8384 3228 8410 3248 8411 3248 8662 3422 8665 3424 8666 3424 8667 3425 8689 3440 8689 3440 8816 3522 8816 3523 8817 3523 8817 3523 8819 3524 8821 3526 8842 3539 8945 3602 8971 3617 9099 3688 9102 3690 9226 3751 9379 3814 9380 3814 9381 3814 9509 3854 9510 3855 9537 3861 9661 3884 9661 3884 9664 3885 9790 3898 9817 3900 9943 3905 9944 3905 9945 3905 9946 3905 10070 3906 10203 3906 10224 3906 10228 3906 10230 3906 10352 3904 10358 3904 10381 3904 10506 3903 10507 3903 10635 3902 10636 3902 10663 3902 10789 3902 10792 3902 10943 3898 11198 3886 11481 3855 11483 3855 11484 3854 11760 3792 11889 3754 11915 3745 11917 3744 11917 3744 12324 3570 12326 3569 12604 3426 12760 3340 12762 3338 13044 3165 13199 3067 13299 3005 13476 2897 13603 2824 14014 2608 14423 2430 14454 2419 14578 2382 14605 2374 14863 2324 15140 2292 15166 2290 15706 2284 15830 2294 16270 2381 16988 2672 17524 2944 17546 2956 19083 3848 19216 3937 19521 4152 25001 8484 157 doline grestore % end of clipping % Data Set 4: 32 setlinewidth dotted setdash /linestyle {dotted} def 12 setlinewidth solid setdash /linestyle {solid} def gsave newpath 832 832 moveto 832 4429 lineto 6080 4429 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line 32 setlinewidth solid setdash /linestyle {solid} def 32 setlinewidth dotted setdash /linestyle {dotted} def % Draw data line newpath -322 1968 -320 1969 -320 1969 -319 1971 -163 2146 -36 2294 681 3111 681 3111 934 3306 935 3306 935 3306 959 3320 960 3321 1085 3376 1085 3376 1086 3376 1088 3377 1088 3377 1090 3378 1213 3406 1214 3407 1217 3407 1218 3408 1242 3411 1244 3412 1245 3412 1343 3428 1366 3433 1366 3433 1367 3433 1367 3433 1367 3433 1367 3434 1368 3434 1368 3434 1368 3434 1369 3434 1369 3434 1369 3434 1370 3434 1370 3434 1370 3434 1370 3434 1371 3434 1371 3434 1494 3472 1494 3472 1496 3473 1496 3473 1496 3473 1496 3473 1497 3473 1497 3474 1497 3474 1497 3474 1498 3474 1498 3474 1500 3474 1500 3474 1500 3474 1500 3474 1501 3475 1520 3481 1521 3482 1521 3482 1522 3482 1522 3482 1523 3482 1524 3483 1525 3483 1525 3483 1526 3483 1623 3509 1624 3510 1648 3513 1648 3513 1648 3513 1648 3513 1648 3513 1648 3513 1648 3513 1649 3513 1649 3513 1649 3513 1649 3513 1650 3513 1650 3513 1650 3513 1650 3513 1650 3513 1650 3513 1650 3513 1651 3513 1651 3513 1651 3513 1651 3513 1651 3513 1652 3513 1652 3513 1653 3513 1653 3513 1653 3513 1654 3513 1654 3513 1654 3513 1654 3513 1775 3500 1775 3500 1776 3500 1776 3500 1776 3500 1776 3500 1776 3499 1777 3499 1777 3499 1778 3499 1778 3499 1778 3498 1778 3498 1778 3498 1778 3498 1778 3498 1779 3498 1779 3498 1779 3498 1780 3498 1780 3498 1780 3498 1780 3498 1780 3498 1780 3498 1780 3498 1781 3498 1781 3498 1781 3498 1781 3498 1781 3498 1781 3498 1782 3498 1782 3498 1782 3498 1782 3497 1782 3497 1802 3489 1803 3489 1804 3488 1804 3488 1804 3488 1804 3488 1804 3488 1806 3487 1806 3487 1806 3487 1807 3487 1807 3487 1807 3487 1808 3486 1904 3420 1904 3420 1906 3419 1906 3418 1906 3418 1910 3415 1910 3415 1929 3396 1929 3396 1929 3396 1929 3396 1929 3396 1929 3396 1930 3396 1930 3396 1930 3396 1930 3396 1930 3396 1930 3396 1930 3395 1930 3395 1930 3395 1930 3395 1931 3394 1931 3394 1931 3394 1931 3394 1931 3394 1932 3394 1932 3394 1932 3393 1932 3393 1932 3393 1932 3393 1932 3393 1933 3392 1933 3392 1934 3392 1934 3392 1934 3392 1934 3392 1934 3391 1934 3391 1934 3391 201 doline 1934 3391 1934 3391 1935 3390 1935 3390 1935 3390 1936 3390 1936 3390 1936 3390 1936 3390 1936 3390 1936 3390 2057 3240 2058 3239 2058 3239 2058 3238 2058 3238 2058 3238 2058 3238 2058 3238 2058 3238 2058 3238 2059 3238 2059 3237 2059 3237 2060 3236 2060 3236 2060 3236 2060 3236 2060 3236 2060 3236 2060 3235 2060 3235 2061 3235 2061 3234 2062 3234 2062 3233 2062 3233 2062 3233 2062 3233 2062 3232 2063 3232 2063 3232 2063 3231 2064 3231 2064 3230 2083 3204 2083 3204 2084 3203 2084 3202 2084 3202 2086 3201 2087 3199 2087 3199 2087 3198 2088 3198 2088 3197 2088 3197 2088 3197 2088 3196 2089 3196 2089 3196 2186 3060 2186 3059 2188 3057 2188 3056 2189 3056 2211 3025 2211 3025 2211 3024 2211 3024 2211 3024 2211 3024 2212 3024 2212 3024 2212 3023 2212 3023 2212 3023 2212 3023 2213 3022 2213 3022 2213 3022 2213 3022 2213 3022 2214 3021 2214 3021 2214 3021 2214 3021 2214 3021 2214 3020 2215 3020 2215 3019 2215 3019 2215 3019 2215 3019 2216 3018 2216 3018 2216 3018 2216 3018 2216 3017 2216 3017 2216 3017 2217 3017 2217 3016 2217 3016 2217 3016 2217 3016 2218 3016 2339 2853 2339 2853 2339 2853 2339 2853 2340 2852 2340 2852 2340 2852 2340 2852 2340 2851 2341 2851 2341 2850 2341 2850 2342 2850 2342 2850 2342 2850 2342 2849 2343 2848 2344 2847 2344 2847 2344 2846 2344 2846 2345 2846 2345 2846 2345 2846 2345 2846 2345 2845 2346 2845 2364 2823 2364 2822 2365 2822 2365 2822 2365 2822 2366 2821 2366 2821 2366 2820 2367 2820 2367 2820 2367 2820 2367 2820 2368 2819 2368 2819 2368 2819 2369 2818 2369 2817 2370 2816 2370 2816 2371 2815 2371 2815 2468 2721 2468 2721 2470 2719 2470 2719 2471 2718 2472 2717 2472 2717 2492 2702 2493 2702 2493 2702 2493 2702 2493 2702 2494 2702 2494 2702 2494 2702 2494 2701 2494 2701 2495 2701 2495 2701 2496 2700 2496 2700 2496 2700 2496 2700 2496 2700 2496 2700 2496 2700 2496 2700 2496 2700 2496 2700 2496 2700 2496 2700 2497 2700 2497 2700 2497 2700 2497 2700 2497 2699 2497 2699 2498 2699 2498 2699 2498 2699 2498 2699 2498 2699 2498 2699 2498 2698 2498 2698 2498 2698 201 doline 2498 2698 2499 2698 2499 2698 2499 2698 2620 2655 2620 2655 2621 2655 2621 2655 2621 2655 2621 2655 2622 2655 2622 2655 2622 2655 2622 2655 2622 2655 2622 2655 2622 2655 2623 2655 2623 2655 2623 2655 2623 2655 2624 2654 2624 2654 2624 2654 2624 2654 2626 2654 2626 2654 2626 2654 2626 2654 2627 2654 2627 2654 2646 2655 2647 2655 2647 2655 2648 2655 2648 2655 2649 2655 2649 2655 2650 2655 2650 2655 2650 2655 2651 2655 2748 2679 2749 2679 2749 2679 2751 2680 2755 2681 2774 2689 2774 2689 2774 2689 2774 2689 2775 2689 2775 2690 2776 2690 2776 2690 2777 2690 2777 2690 2777 2690 2777 2690 2778 2690 2778 2690 2778 2690 2778 2690 2778 2691 2778 2691 2778 2691 2778 2691 2779 2691 2779 2691 2779 2691 2779 2691 2779 2691 2780 2691 2780 2691 2780 2692 2780 2692 2780 2692 2780 2692 2780 2692 2781 2692 2902 2745 2902 2745 2902 2745 2902 2745 2903 2745 2903 2745 2903 2746 2904 2746 2904 2746 2904 2746 2904 2746 2904 2746 2904 2746 2904 2746 2904 2746 2905 2746 2907 2747 2907 2747 2907 2747 2907 2747 2908 2748 2908 2748 2908 2748 2909 2748 2927 2755 2928 2755 2928 2755 2928 2755 2929 2756 2929 2756 2929 2756 2930 2756 2930 2756 2932 2756 2932 2757 2933 2757 2933 2757 2934 2758 3056 2786 3056 2786 3056 2786 3057 2786 3058 2786 3058 2786 3058 2786 3058 2786 3058 2786 3059 2786 3060 2787 3060 2787 3060 2787 3061 2787 3061 2787 3061 2787 3061 2787 3061 2787 3184 2772 3184 2772 3184 2772 3184 2772 3185 2772 3186 2772 3186 2772 3186 2772 3186 2772 3186 2772 3187 2771 3187 2771 3188 2771 3188 2771 3188 2771 3189 2771 3189 2771 3190 2770 3190 2770 3190 2770 3209 2763 3210 2762 3210 2762 3212 2762 3212 2762 3212 2761 3212 2761 3214 2760 3214 2760 3215 2760 3215 2760 3216 2760 3314 2702 3315 2702 3316 2701 3318 2699 3337 2686 3337 2686 3338 2685 3338 2685 3339 2684 3339 2684 3339 2684 3340 2684 3340 2684 3340 2684 3340 2683 3340 2683 3340 2683 3341 2683 3341 2683 3342 2682 3343 2682 3343 2682 3343 2681 3343 2681 3344 2681 3466 2585 3466 2585 3466 2585 3466 2585 3466 2584 3467 2584 3467 2584 3468 2584 201 doline 3468 2584 3468 2584 3468 2583 3468 2583 3468 2583 3469 2583 3470 2582 3470 2582 3470 2582 3471 2581 3472 2580 3472 2580 3493 2563 3493 2562 3493 2562 3494 2562 3494 2562 3494 2562 3495 2561 3495 2561 3495 2561 3496 2560 3497 2559 3595 2483 3598 2482 3618 2468 3619 2468 3619 2468 3619 2468 3619 2468 3619 2467 3620 2467 3620 2467 3621 2466 3621 2466 3621 2466 3622 2466 3622 2466 3622 2465 3623 2465 3623 2465 3624 2464 3624 2464 3625 2464 3625 2464 3625 2464 3748 2411 3748 2411 3750 2410 3750 2410 3750 2410 3751 2410 3752 2410 3753 2410 3753 2410 3753 2410 3753 2410 3772 2406 3774 2406 3774 2406 3775 2406 3777 2406 3777 2406 3779 2406 3779 2406 3875 2410 3878 2411 3900 2416 3900 2416 3901 2416 3902 2417 3902 2417 3902 2417 3902 2417 3904 2418 3905 2418 3905 2418 3905 2418 3905 2418 3906 2418 3907 2418 4028 2476 4029 2476 4029 2476 4030 2477 4030 2477 4030 2477 4030 2478 4033 2479 4033 2479 4034 2480 4035 2480 4035 2480 4054 2492 4157 2562 4161 2564 4182 2578 4182 2579 4182 2579 4182 2579 4183 2579 4183 2579 4183 2580 4186 2582 4187 2582 4188 2583 4310 2663 4311 2663 4313 2664 4340 2680 4438 2732 4441 2734 4465 2744 4466 2744 4466 2744 4469 2746 4469 2746 4470 2746 4594 2784 4594 2784 4596 2785 4596 2785 4597 2785 4598 2785 4598 2785 4620 2789 4622 2789 4720 2794 4722 2794 4722 2794 4724 2794 4746 2792 4747 2792 4749 2791 4749 2791 4750 2791 4750 2791 4751 2791 4751 2791 4874 2754 4874 2754 4876 2753 4877 2753 4877 2753 4877 2753 4878 2753 4904 2740 5003 2676 5006 2673 5007 2673 5028 2657 5032 2654 5159 2549 5160 2548 5161 2547 5186 2525 5283 2441 5288 2437 5314 2414 5437 2316 5440 2314 5443 2311 5443 2311 5590 2212 5594 2210 5718 2154 5719 2154 5720 2154 5721 2153 5847 2130 5849 2130 5871 2130 5874 2130 6003 2159 6004 2160 6006 2160 6028 2170 6129 2235 6130 2236 6438 2615 6566 2846 6566 2848 6567 2849 6719 3178 6720 3180 6723 3187 6847 3493 6847 3494 6850 3502 6873 3561 7003 3913 7129 4262 7256 4600 7282 4666 7282 4666 7410 4965 7411 4966 7436 5018 7690 5435 7691 5436 7693 5440 201 doline 7693 5440 7977 5698 8126 5767 8255 5796 8540 5772 8691 5716 8817 5652 9380 5215 9795 4814 10223 4358 11354 3018 13734 118 14735 -864 19238 -90 14 doline grestore % end of clipping % Data Set 5: 12 setlinewidth solid setdash /linestyle {solid} def gsave newpath 832 832 moveto 832 4429 lineto 6080 4429 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line 32 setlinewidth solid setdash /linestyle {solid} def 32 setlinewidth dotted setdash /linestyle {dotted} def % Draw data line newpath -322 -174 -320 -170 -320 -170 -319 -166 -163 272 -36 577 681 2002 681 2002 934 2406 935 2408 935 2408 959 2443 960 2446 1085 2615 1085 2615 1086 2616 1088 2618 1088 2620 1090 2621 1213 2756 1214 2757 1217 2760 1218 2761 1242 2783 1244 2786 1245 2786 1343 2876 1366 2897 1366 2898 1367 2898 1367 2898 1367 2898 1367 2898 1368 2898 1368 2898 1368 2899 1369 2900 1369 2900 1369 2900 1370 2900 1370 2901 1370 2901 1370 2901 1371 2901 1371 2902 1494 3012 1494 3012 1496 3014 1496 3014 1496 3014 1496 3014 1497 3015 1497 3015 1497 3015 1497 3015 1498 3015 1498 3016 1500 3017 1500 3018 1500 3018 1500 3018 1501 3018 1520 3034 1521 3035 1521 3035 1522 3036 1522 3036 1523 3037 1524 3038 1525 3038 1525 3038 1526 3039 1623 3106 1624 3106 1648 3118 1648 3118 1648 3118 1648 3118 1648 3118 1648 3118 1648 3118 1649 3118 1649 3118 1649 3118 1649 3118 1650 3119 1650 3119 1650 3119 1650 3119 1650 3119 1650 3119 1650 3119 1651 3119 1651 3119 1651 3119 1651 3119 1651 3119 1652 3120 1652 3120 1653 3120 1653 3120 1653 3120 1654 3120 1654 3120 1654 3120 1654 3120 1775 3138 1775 3138 1776 3138 1776 3138 1776 3138 1776 3138 1776 3138 1777 3138 1777 3138 1778 3138 1778 3138 1778 3138 1778 3138 1778 3138 1778 3138 1778 3138 1779 3138 1779 3138 1779 3138 1780 3138 1780 3138 1780 3138 1780 3138 1780 3138 1780 3138 1780 3138 1781 3138 1781 3138 1781 3138 1781 3138 1781 3138 1781 3138 1782 3138 1782 3138 1782 3138 1782 3138 1782 3138 1802 3133 1803 3133 1804 3132 1804 3132 1804 3132 1804 3132 1804 3132 1806 3132 1806 3132 1806 3132 1807 3132 1807 3132 1807 3131 1808 3131 1904 3077 1904 3077 1906 3076 1906 3076 1906 3075 1910 3073 1910 3072 1929 3056 1929 3056 1929 3056 1929 3055 1929 3055 1929 3055 1930 3055 1930 3055 1930 3055 1930 3055 1930 3055 1930 3054 1930 3054 1930 3054 1930 3054 1930 3054 1931 3054 1931 3054 1931 3054 1931 3054 1931 3053 1932 3053 1932 3053 1932 3052 1932 3052 1932 3052 1932 3052 1932 3052 1933 3051 1933 3051 1934 3051 1934 3051 1934 3051 1934 3051 1934 3051 1934 3050 1934 3050 201 doline 1934 3050 1934 3050 1935 3050 1935 3050 1935 3050 1936 3049 1936 3049 1936 3049 1936 3049 1936 3049 1936 3049 2057 2904 2058 2902 2058 2902 2058 2902 2058 2902 2058 2902 2058 2902 2058 2902 2058 2901 2058 2901 2059 2901 2059 2900 2059 2900 2060 2900 2060 2900 2060 2900 2060 2900 2060 2899 2060 2899 2060 2899 2060 2898 2061 2898 2061 2898 2062 2897 2062 2897 2062 2897 2062 2897 2062 2896 2062 2896 2063 2896 2063 2895 2063 2895 2064 2894 2064 2894 2083 2868 2083 2868 2084 2867 2084 2866 2084 2866 2086 2864 2087 2862 2087 2862 2087 2862 2088 2862 2088 2861 2088 2860 2088 2860 2088 2860 2089 2860 2089 2859 2186 2723 2186 2722 2188 2720 2188 2720 2189 2719 2211 2688 2211 2688 2211 2687 2211 2687 2211 2687 2211 2687 2212 2686 2212 2686 2212 2686 2212 2686 2212 2686 2212 2686 2213 2685 2213 2685 2213 2685 2213 2684 2213 2684 2214 2684 2214 2684 2214 2684 2214 2684 2214 2684 2214 2683 2215 2682 2215 2682 2215 2681 2215 2681 2215 2681 2216 2681 2216 2681 2216 2680 2216 2680 2216 2680 2216 2680 2216 2680 2217 2679 2217 2679 2217 2679 2217 2679 2217 2679 2218 2678 2339 2514 2339 2513 2339 2513 2339 2513 2340 2512 2340 2512 2340 2512 2340 2512 2340 2511 2341 2511 2341 2511 2341 2510 2342 2510 2342 2510 2342 2510 2342 2510 2343 2508 2344 2507 2344 2507 2344 2506 2344 2506 2345 2506 2345 2506 2345 2506 2345 2506 2345 2505 2346 2505 2364 2482 2364 2482 2365 2482 2365 2481 2365 2481 2366 2480 2366 2480 2366 2480 2367 2479 2367 2479 2367 2479 2367 2479 2368 2478 2368 2478 2368 2478 2369 2477 2369 2476 2370 2475 2370 2475 2371 2474 2371 2474 2468 2376 2468 2376 2470 2374 2470 2374 2471 2373 2472 2372 2472 2372 2492 2357 2493 2356 2493 2356 2493 2356 2493 2356 2494 2356 2494 2356 2494 2356 2494 2355 2494 2355 2495 2355 2495 2355 2496 2354 2496 2354 2496 2354 2496 2354 2496 2354 2496 2354 2496 2354 2496 2354 2496 2354 2496 2354 2496 2354 2496 2354 2497 2353 2497 2353 2497 2353 2497 2353 2497 2353 2497 2353 2498 2353 2498 2353 2498 2353 2498 2353 2498 2353 2498 2353 2498 2352 2498 2352 2498 2352 201 doline 2498 2352 2499 2352 2499 2352 2499 2352 2620 2300 2620 2300 2621 2300 2621 2300 2621 2300 2621 2300 2622 2300 2622 2300 2622 2300 2622 2300 2622 2300 2622 2300 2622 2300 2623 2300 2623 2300 2623 2300 2623 2300 2624 2300 2624 2300 2624 2299 2624 2299 2626 2299 2626 2299 2626 2299 2626 2299 2627 2299 2627 2299 2646 2298 2647 2298 2647 2298 2648 2298 2648 2298 2649 2298 2649 2298 2650 2298 2650 2298 2650 2298 2651 2298 2748 2312 2749 2312 2749 2312 2751 2313 2755 2314 2774 2320 2774 2320 2774 2320 2774 2320 2775 2320 2775 2320 2776 2321 2776 2321 2777 2321 2777 2321 2777 2321 2777 2321 2778 2321 2778 2321 2778 2321 2778 2321 2778 2321 2778 2321 2778 2321 2778 2321 2779 2321 2779 2321 2779 2321 2779 2322 2779 2322 2780 2322 2780 2322 2780 2322 2780 2322 2780 2322 2780 2322 2780 2322 2781 2322 2902 2362 2902 2362 2902 2363 2902 2363 2903 2363 2903 2363 2903 2363 2904 2363 2904 2363 2904 2363 2904 2363 2904 2363 2904 2363 2904 2363 2904 2363 2905 2363 2907 2364 2907 2364 2907 2364 2907 2364 2908 2364 2908 2364 2908 2364 2909 2364 2927 2370 2928 2370 2928 2370 2928 2370 2929 2370 2929 2370 2929 2370 2930 2370 2930 2370 2932 2371 2932 2371 2933 2371 2933 2371 2934 2372 3056 2388 3056 2388 3056 2388 3057 2388 3058 2388 3058 2388 3058 2388 3058 2388 3058 2388 3059 2388 3060 2388 3060 2388 3060 2388 3061 2388 3061 2388 3061 2388 3061 2388 3061 2388 3184 2365 3184 2365 3184 2365 3184 2365 3185 2365 3186 2364 3186 2364 3186 2364 3186 2364 3186 2364 3187 2364 3187 2364 3188 2364 3188 2364 3188 2364 3189 2363 3189 2363 3190 2363 3190 2363 3190 2363 3209 2354 3210 2353 3210 2353 3212 2353 3212 2352 3212 2352 3212 2352 3214 2351 3214 2351 3215 2351 3215 2351 3216 2351 3314 2286 3315 2286 3316 2285 3318 2283 3337 2268 3337 2268 3338 2268 3338 2267 3339 2267 3339 2267 3339 2266 3340 2266 3340 2266 3340 2266 3340 2266 3340 2266 3340 2266 3341 2265 3341 2265 3342 2264 3343 2264 3343 2264 3343 2263 3343 2263 3344 2262 3466 2156 3466 2156 3466 2156 3466 2156 3466 2156 3467 2155 3467 2155 3468 2154 201 doline 3468 2154 3468 2154 3468 2154 3468 2154 3468 2154 3469 2153 3470 2152 3470 2152 3470 2152 3471 2151 3472 2150 3472 2150 3493 2131 3493 2130 3493 2130 3494 2130 3494 2130 3494 2130 3495 2129 3495 2129 3495 2128 3496 2128 3497 2126 3595 2037 3598 2035 3618 2018 3619 2018 3619 2018 3619 2018 3619 2018 3619 2017 3620 2017 3620 2016 3621 2016 3621 2016 3621 2016 3622 2016 3622 2015 3622 2015 3623 2014 3623 2014 3624 2014 3624 2014 3625 2013 3625 2013 3625 2013 3748 1938 3748 1937 3750 1937 3750 1936 3750 1936 3751 1936 3752 1936 3753 1935 3753 1935 3753 1935 3753 1935 3772 1928 3774 1927 3774 1927 3775 1927 3777 1926 3777 1926 3779 1926 3779 1926 3875 1909 3878 1909 3900 1910 3900 1910 3901 1910 3902 1910 3902 1910 3902 1910 3902 1910 3904 1910 3905 1910 3905 1910 3905 1910 3905 1910 3906 1910 3907 1910 4028 1939 4029 1939 4029 1939 4030 1940 4030 1940 4030 1940 4030 1940 4033 1940 4033 1941 4034 1941 4035 1941 4035 1941 4054 1948 4157 1994 4161 1995 4182 2005 4182 2005 4182 2005 4182 2005 4183 2005 4183 2005 4183 2006 4186 2007 4187 2007 4188 2008 4310 2063 4311 2063 4313 2064 4340 2075 4438 2111 4441 2112 4465 2119 4466 2120 4466 2120 4469 2120 4469 2120 4470 2121 4594 2141 4594 2141 4596 2141 4596 2141 4597 2141 4598 2141 4598 2141 4620 2142 4622 2142 4720 2129 4722 2129 4722 2128 4724 2128 4746 2121 4747 2121 4749 2120 4749 2120 4750 2120 4750 2120 4751 2120 4751 2120 4874 2053 4874 2053 4876 2051 4877 2051 4877 2051 4877 2051 4878 2050 4904 2030 5003 1938 5006 1933 5007 1933 5028 1911 5032 1906 5159 1762 5160 1762 5161 1760 5186 1731 5283 1621 5288 1616 5314 1586 5437 1453 5440 1451 5443 1448 5443 1448 5590 1317 5594 1314 5718 1231 5719 1230 5720 1230 5721 1229 5847 1180 5849 1180 5871 1175 5874 1174 6003 1178 6004 1178 6006 1178 6028 1184 6129 1226 6130 1226 6438 1575 6566 1793 6566 1795 6567 1795 6719 2112 6720 2114 6723 2120 6847 2417 6847 2417 6850 2425 6873 2482 7003 2819 7129 3152 7256 3461 7282 3519 7282 3519 7410 3779 7411 3780 7436 3825 7690 4169 7691 4170 7693 4172 201 doline 7693 4172 7977 4288 8126 4286 8255 4272 8540 4198 8691 4124 8817 4038 9380 3349 9795 2682 10223 1998 11354 386 13734 -3031 14735 -4595 19238 -5340 14 doline grestore % end of clipping % Data Set 6: 12 setlinewidth solid setdash /linestyle {solid} def gsave newpath 832 832 moveto 832 4429 lineto 6080 4429 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line 32 setlinewidth solid setdash /linestyle {solid} def 32 setlinewidth dotted setdash /linestyle {dotted} def % Draw data line newpath -322 4110 -320 4109 -320 4109 -319 4108 -163 4021 -36 4010 681 4219 681 4219 934 4205 935 4205 935 4205 959 4196 960 4196 1085 4137 1085 4137 1086 4136 1088 4135 1088 4135 1090 4134 1213 4058 1214 4057 1217 4055 1218 4054 1242 4039 1244 4037 1245 4037 1343 3980 1366 3969 1366 3969 1367 3969 1367 3969 1367 3969 1367 3969 1368 3968 1368 3968 1368 3968 1369 3968 1369 3968 1369 3968 1370 3968 1370 3968 1370 3968 1370 3967 1371 3967 1371 3967 1494 3932 1494 3932 1496 3932 1496 3932 1496 3932 1496 3932 1497 3932 1497 3932 1497 3932 1497 3932 1498 3932 1498 3932 1500 3931 1500 3931 1500 3931 1500 3931 1501 3931 1520 3928 1521 3928 1521 3928 1522 3928 1522 3928 1523 3928 1524 3928 1525 3928 1525 3928 1526 3928 1623 3913 1624 3913 1648 3908 1648 3908 1648 3908 1648 3908 1648 3908 1648 3908 1648 3908 1649 3908 1649 3907 1649 3907 1649 3907 1650 3907 1650 3907 1650 3907 1650 3907 1650 3907 1650 3907 1650 3907 1651 3907 1651 3907 1651 3907 1651 3907 1651 3907 1652 3906 1652 3906 1653 3906 1653 3906 1653 3906 1654 3906 1654 3906 1654 3906 1654 3906 1775 3861 1775 3861 1776 3861 1776 3861 1776 3860 1776 3860 1776 3860 1777 3860 1777 3860 1778 3859 1778 3859 1778 3859 1778 3859 1778 3859 1778 3859 1778 3859 1779 3859 1779 3859 1779 3859 1780 3858 1780 3858 1780 3858 1780 3858 1780 3858 1780 3858 1780 3858 1781 3858 1781 3858 1781 3858 1781 3858 1781 3858 1781 3858 1782 3857 1782 3857 1782 3857 1782 3857 1782 3857 1802 3845 1803 3845 1804 3844 1804 3844 1804 3844 1804 3844 1804 3844 1806 3843 1806 3842 1806 3842 1807 3842 1807 3842 1807 3842 1808 3842 1904 3764 1904 3763 1906 3762 1906 3761 1906 3761 1910 3758 1910 3757 1929 3738 1929 3738 1929 3738 1929 3738 1929 3737 1929 3737 1930 3737 1930 3737 1930 3737 1930 3737 1930 3737 1930 3736 1930 3736 1930 3736 1930 3736 1930 3736 1931 3736 1931 3736 1931 3736 1931 3735 1931 3735 1932 3734 1932 3734 1932 3734 1932 3734 1932 3734 1932 3734 1932 3734 1933 3733 1933 3733 1934 3733 1934 3733 1934 3732 1934 3732 1934 3732 1934 3732 1934 3732 201 doline 1934 3732 1934 3732 1935 3731 1935 3731 1935 3731 1936 3730 1936 3730 1936 3730 1936 3730 1936 3730 1936 3730 2057 3576 2058 3575 2058 3575 2058 3575 2058 3575 2058 3575 2058 3574 2058 3574 2058 3574 2058 3574 2059 3574 2059 3573 2059 3573 2060 3573 2060 3572 2060 3572 2060 3572 2060 3572 2060 3572 2060 3572 2060 3571 2061 3571 2061 3570 2062 3570 2062 3570 2062 3570 2062 3570 2062 3569 2062 3569 2063 3568 2063 3568 2063 3568 2064 3567 2064 3567 2083 3541 2083 3540 2084 3540 2084 3539 2084 3538 2086 3537 2087 3535 2087 3535 2087 3535 2088 3534 2088 3533 2088 3533 2088 3533 2088 3533 2089 3532 2089 3532 2186 3397 2186 3396 2188 3394 2188 3393 2189 3393 2211 3362 2211 3362 2211 3362 2211 3362 2211 3362 2211 3362 2212 3361 2212 3361 2212 3361 2212 3360 2212 3360 2212 3360 2213 3360 2213 3360 2213 3359 2213 3359 2213 3359 2214 3358 2214 3358 2214 3358 2214 3358 2214 3358 2214 3358 2215 3357 2215 3356 2215 3356 2215 3356 2215 3356 2216 3356 2216 3356 2216 3355 2216 3355 2216 3355 2216 3354 2216 3354 2217 3354 2217 3354 2217 3354 2217 3354 2217 3353 2218 3353 2339 3193 2339 3193 2339 3193 2339 3192 2340 3192 2340 3192 2340 3192 2340 3191 2340 3191 2341 3191 2341 3190 2341 3190 2342 3190 2342 3190 2342 3190 2342 3189 2343 3188 2344 3187 2344 3187 2344 3186 2344 3186 2345 3186 2345 3186 2345 3186 2345 3186 2345 3185 2346 3185 2364 3163 2364 3163 2365 3163 2365 3162 2365 3162 2366 3162 2366 3161 2366 3161 2367 3160 2367 3160 2367 3160 2367 3160 2368 3160 2368 3159 2368 3159 2369 3158 2369 3158 2370 3156 2370 3156 2371 3156 2371 3156 2468 3066 2468 3065 2470 3064 2470 3064 2471 3063 2472 3062 2472 3062 2492 3048 2493 3048 2493 3048 2493 3048 2493 3048 2494 3048 2494 3048 2494 3048 2494 3047 2494 3047 2495 3047 2495 3047 2496 3046 2496 3046 2496 3046 2496 3046 2496 3046 2496 3046 2496 3046 2496 3046 2496 3046 2496 3046 2496 3046 2496 3046 2497 3046 2497 3046 2497 3046 2497 3046 2497 3046 2497 3046 2498 3045 2498 3045 2498 3045 2498 3045 2498 3045 2498 3045 2498 3045 2498 3045 2498 3045 201 doline 2498 3045 2499 3045 2499 3044 2499 3044 2620 3010 2620 3010 2621 3010 2621 3010 2621 3010 2621 3010 2622 3010 2622 3010 2622 3010 2622 3010 2622 3010 2622 3010 2622 3010 2623 3010 2623 3010 2623 3010 2623 3010 2624 3010 2624 3010 2624 3010 2624 3010 2626 3010 2626 3010 2626 3010 2626 3010 2627 3010 2627 3010 2646 3012 2647 3012 2647 3012 2648 3012 2648 3012 2649 3012 2649 3012 2650 3012 2650 3012 2650 3012 2651 3012 2748 3045 2749 3045 2749 3046 2751 3046 2755 3048 2774 3058 2774 3058 2774 3058 2774 3058 2775 3058 2775 3058 2776 3059 2776 3059 2777 3059 2777 3059 2777 3060 2777 3060 2778 3060 2778 3060 2778 3060 2778 3060 2778 3060 2778 3060 2778 3060 2778 3060 2779 3060 2779 3060 2779 3060 2779 3060 2779 3061 2780 3061 2780 3061 2780 3061 2780 3061 2780 3061 2780 3061 2780 3061 2781 3061 2902 3127 2902 3128 2902 3128 2902 3128 2903 3128 2903 3128 2903 3128 2904 3128 2904 3128 2904 3128 2904 3128 2904 3128 2904 3129 2904 3129 2904 3129 2905 3129 2907 3130 2907 3130 2907 3130 2907 3130 2908 3131 2908 3131 2908 3131 2909 3131 2927 3140 2928 3140 2928 3140 2928 3140 2929 3141 2929 3141 2929 3141 2930 3141 2930 3141 2932 3142 2932 3143 2933 3143 2933 3143 2934 3144 3056 3184 3056 3184 3056 3184 3057 3184 3058 3184 3058 3184 3058 3184 3058 3184 3058 3184 3059 3185 3060 3185 3060 3185 3060 3185 3061 3185 3061 3185 3061 3185 3061 3185 3061 3185 3184 3180 3184 3180 3184 3180 3184 3180 3185 3179 3186 3179 3186 3179 3186 3179 3186 3179 3186 3179 3187 3179 3187 3179 3188 3179 3188 3178 3188 3178 3189 3178 3189 3178 3190 3178 3190 3178 3190 3178 3209 3172 3210 3171 3210 3171 3212 3171 3212 3170 3212 3170 3212 3170 3214 3170 3214 3170 3215 3170 3215 3169 3216 3169 3314 3118 3315 3117 3316 3117 3318 3116 3337 3103 3337 3103 3338 3103 3338 3102 3339 3102 3339 3102 3339 3102 3340 3102 3340 3102 3340 3101 3340 3101 3340 3101 3340 3101 3341 3101 3341 3100 3342 3100 3343 3100 3343 3100 3343 3099 3343 3099 3344 3099 3466 3014 3466 3014 3466 3014 3466 3014 3466 3014 3467 3013 3467 3013 3468 3013 201 doline 3468 3013 3468 3013 3468 3012 3468 3012 3468 3012 3469 3012 3470 3012 3470 3011 3470 3011 3471 3010 3472 3010 3472 3010 3493 2995 3493 2995 3493 2995 3494 2994 3494 2994 3494 2994 3495 2994 3495 2994 3495 2993 3496 2992 3497 2992 3595 2929 3598 2928 3618 2918 3619 2918 3619 2918 3619 2918 3619 2918 3619 2917 3620 2917 3620 2917 3621 2916 3621 2916 3621 2916 3622 2916 3622 2916 3622 2916 3623 2916 3623 2916 3624 2915 3624 2915 3625 2914 3625 2914 3625 2914 3748 2884 3748 2884 3750 2884 3750 2884 3750 2884 3751 2884 3752 2884 3753 2884 3753 2884 3753 2884 3753 2884 3772 2885 3774 2885 3774 2885 3775 2885 3777 2885 3777 2885 3779 2885 3779 2885 3875 2911 3878 2912 3900 2923 3900 2923 3901 2923 3902 2924 3902 2924 3902 2924 3902 2924 3904 2925 3905 2925 3905 2925 3905 2925 3905 2926 3906 2926 3907 2926 4028 3013 4029 3014 4029 3014 4030 3014 4030 3015 4030 3015 4030 3015 4033 3017 4033 3018 4034 3018 4035 3019 4035 3019 4054 3035 4157 3130 4161 3132 4182 3152 4182 3152 4182 3152 4182 3153 4183 3153 4183 3153 4183 3153 4186 3156 4187 3156 4188 3158 4310 3263 4311 3263 4313 3265 4340 3285 4438 3352 4441 3354 4465 3368 4466 3369 4466 3369 4469 3371 4469 3371 4470 3371 4594 3428 4594 3428 4596 3428 4596 3428 4597 3429 4598 3429 4598 3429 4620 3436 4622 3437 4720 3459 4722 3459 4722 3459 4724 3460 4746 3462 4747 3462 4749 3462 4749 3462 4750 3462 4750 3462 4751 3462 4751 3462 4874 3456 4874 3456 4876 3455 4877 3455 4877 3455 4877 3455 4878 3455 4904 3449 5003 3415 5006 3413 5007 3413 5028 3404 5032 3401 5159 3335 5160 3335 5161 3334 5186 3320 5283 3262 5288 3259 5314 3244 5437 3178 5440 3177 5443 3175 5443 3175 5590 3108 5594 3106 5718 3078 5719 3078 5720 3077 5721 3077 5847 3080 5849 3080 5871 3085 5874 3086 6003 3141 6004 3142 6006 3143 6028 3158 6129 3244 6130 3244 6438 3655 6566 3900 6566 3902 6567 3902 6719 4245 6720 4247 6723 4254 6847 4570 6847 4570 6850 4578 6873 4641 7003 5006 7129 5372 7256 5740 7282 5813 7282 5813 7410 6151 7411 6153 7436 6212 7690 6702 7691 6703 7693 6707 201 doline 7693 6707 7977 7108 8126 7248 8255 7321 8540 7346 8691 7309 8817 7265 9380 7081 9795 6946 10223 6719 11354 5648 13734 3267 14735 2866 19238 5158 14 doline grestore % end of clipping 25 setlinewidth dashed setdash /linestyle {dashed} def /fillcolor {0.0 0.0 0.0} def /fillcolor {0.0 0.0 0.0} def newpath 960 2694 6082 2694 2 doline /fontsiz 457 def /spacesiz 30 def /fontsiz 457 def /spacesiz 30 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 38 def /txtpos [0.50 1.00] def 3649 111 (Time \(s\)) sprnt /txtpos [0.00 0.00] def /fontsiz 343 def /spacesiz 22 def /fontsiz 343 def /spacesiz 22 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 28 def /txtpos [0.50 1.00] def 960 697 (0.5) sprnt 2240 697 (1.0) sprnt 3520 697 (1.5) sprnt 4800 697 (2.0) sprnt 6080 697 (2.5) sprnt /txtpos [1.00 0.35] def 697 960 (-1.0) sprnt 697 1827 (-0.5) sprnt 697 2694 (0.0) sprnt 697 3561 (0.5) sprnt 697 4429 (1.0) sprnt solid setdash % Graph number 5 -4565 11466 translate 6 setlinewidth solid setdash /linestyle {solid} def 960 832 6080 832 960 832 960 761 2240 832 2240 761 3520 832 3520 761 4800 832 4800 761 6080 832 6080 761 6 dopairs 832 960 832 4362 832 960 761 960 832 1640 761 1640 832 2320 761 2320 832 3001 761 3001 832 3681 761 3681 832 4362 761 4362 7 dopairs % Data Set 1: % Data Set 2: 12 setlinewidth none setdash /linestyle {none} def 12 setlinewidth solid setdash /linestyle {solid} def /patternw 64 def /symbsiz 64 def /symbw 128 def /symbh 128 def /ori 0.00 def /symbsiz 6 def /showmark {docircle} def gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line 12 setlinewidth none setdash /linestyle {none} def % Draw data line 12 setlinewidth solid setdash /linestyle {solid} def 2907 2576 3862 3673 -344 2318 5034 1798 2118 2949 2300 3842 4339 2059 1744 2582 3621 3494 4956 2124 2980 2174 3326 4027 4285 3932 3452 2250 3838 1912 5444 1741 3093 3368 3078 2222 2812 2459 5476 1997 2409 2356 2016 2304 3228 2266 3035 3175 2911 2988 2831 2492 2370 3466 2611 2538 2100 2470 3377 2342 3268 2827 3516 2209 3950 2114 2774 2982 4910 1749 3888 2247 3045 3066 3296 3164 2585 3578 1821 3635 2920 3044 2209 2438 2122 2293 2038 2179 3867 3657 4654 1733 1553 2427 2766 2748 3223 2740 3220 2190 2989 3036 2845 3769 3036 4180 3245 3742 3999 2149 3634 2985 3564 3472 2836 2617 6005 2106 3822 1934 5867 1098 2984 1961 1942 2103 2293 2979 4040 2204 3002 3412 4313 2356 2436 2813 4157 1975 4583 2214 1698 3086 2614 3951 2759 2400 5271 2122 4818 1972 3706 3281 3343 4095 1676 2345 1036 2481 2329 3556 3938 3573 2463 4166 2476 1651 5994 3371 2316 2065 3315 3700 5899 3850 2872 2519 3052 3475 4582 3379 1520 2386 3652 1964 2552 2557 4996 2928 1976 3172 1711 3058 3376 2620 2896 2944 3081 2593 1844 3758 3425 3891 2314 3891 4676 2721 2670 2506 2400 2166 3457 2024 2296 2440 3749 3529 3661 1716 2050 2130 1505 2938 1960 3516 4991 3001 2277 2337 2592 2326 3024 2944 4064 3475 4385 1997 3391 2073 2403 2470 1919 2756 2333 3140 2294 2908 2336 3047 2436 2958 5092 3317 5024 2960 1382 2971 2334 2448 3744 3246 2098 3842 4413 2555 4156 2446 3296 1850 3154 3644 3116 3358 3483 1286 1304 2873 4310 2106 3507 1648 4063 2184 5424 1332 3748 3548 1091 3156 3570 2274 4044 3341 3858 3257 2732 3540 1558 2329 1832 3431 2207 2146 1958 3902 2290 3766 5064 3088 2784 2274 2680 2032 3069 2432 3051 1292 2941 2051 2020 1874 4032 2903 1342 2296 4055 1626 2879 2182 3630 1278 3612 2372 1344 3532 4050 3338 2376 4250 2622 2108 3200 3257 3483 3570 2602 3619 3744 3774 1156 2334 2710 2895 3163 3341 3299 1803 2796 3997 2323 4131 2630 2154 2196 3322 1659 2086 3337 1550 2299 2285 2510 2465 2991 1937 3757 3682 3186 1700 1980 3026 3793 1414 1848 2402 4210 1594 1663 2721 3064 3600 2581 3964 3796 3905 3237 3790 2312 3970 4570 3154 2664 2680 201 {showmark} repeat 1893 2296 2767 3578 3603 3654 3230 2062 3140 2593 2030 2258 3555 2372 3876 1986 3044 2010 2778 2745 2342 2721 2477 3273 2064 3205 2012 2473 2652 1948 1792 3044 3498 3496 2631 3260 4728 1787 3098 3780 2226 3736 1774 3074 1238 3720 2502 2337 3224 3118 -270 2312 4798 3249 2850 3635 4633 3020 3520 3831 4639 3385 2453 2350 3443 2242 2453 1670 4567 1498 3077 2397 2500 2149 -251 2274 3175 2914 1999 4122 1761 3733 2639 3564 2908 2506 2348 3480 3424 2644 6044 2176 5098 2688 1846 2272 2634 2895 3637 2870 1871 3632 3894 3896 3675 2391 3478 2323 2371 3409 4146 3320 3248 2762 2636 3551 3419 3494 3305 3624 1689 2394 1852 2013 2116 2266 2280 2963 1246 2715 4584 3466 1352 3496 4019 3815 1738 3534 1443 2685 1755 2677 3015 1885 3096 2666 2283 2628 2814 3660 2636 2070 1357 3581 2435 3532 3428 3200 1384 3309 4573 3034 1792 3074 1992 2525 3043 3524 3300 3385 2752 3823 2592 3445 2706 3592 2305 2340 5079 2089 2401 2566 1795 2938 2836 2032 3639 2511 2027 2345 3040 2459 3142 2628 1600 2478 1894 2435 3287 2043 5789 1863 3116 2239 2959 2895 5492 2274 2952 2941 1452 2911 892 2239 4540 2454 6022 2171 2244 2427 2573 2100 5114 1901 3980 3184 3855 1918 4252 1787 4193 2184 3655 2568 3818 2427 1106 2296 1319 2522 4304 3227 1498 2451 4405 1795 5898 2988 1402 2900 4724 1706 5806 3102 2376 2996 3952 2538 6003 1640 4361 2780 3652 3311 3434 2418 5818 2116 2228 1986 3798 2345 4314 1760 3773 1714 4094 2718 5453 1983 3750 2119 4734 3096 1010 2522 2565 2726 5232 2255 3009 2400 4316 2710 4886 2846 1998 2247 4734 2024 957 2168 1893 2484 935 2495 1404 2503 2349 2252 1958 2337 -267 2326 1545 2212 4621 2843 1923 2304 1026 2225 1460 2310 3679 2133 1088 2481 3557 3077 1951 2389 3549 2038 904 2800 2347 2370 5901 1591 3153 1346 1862 3360 276 2318 2108 2084 4202 2435 3461 2448 2666 1817 5612 1599 4715 2048 4623 1822 5701 1940 1440 2372 5156 2114 6054 2438 1490 2696 3344 1768 -320 2380 6048 2726 2322 2272 -214 2424 4584 1890 4827 2114 4859 2672 3174 2076 2206 1899 5200 2503 3777 1926 5890 1863 3201 2642 3388 2631 5185 2993 201 {showmark} repeat 2796 1673 5450 1703 4525 2525 2081 2857 3343 1659 2324 1648 3036 829 2151 2002 3120 1564 5149 1316 1737 2783 5114 2669 3063 2555 5322 3240 5134 2710 3474 2745 3168 1994 4996 2097 2872 2813 4710 3124 1398 2846 4584 1782 1612 2413 5276 2751 995 2530 4791 3243 3743 1931 2842 1958 4443 2596 4422 1433 1290 3142 1805 3260 1902 3581 4012 1790 4881 2413 3260 2146 5414 3017 4950 3047 1645 2119 1072 3050 2210 2516 -278 2421 4944 2361 1139 2228 3430 3888 1668 1999 4982 2468 2872 2266 3225 1958 1951 3164 2104 1844 3231 1904 5677 1967 4840 3548 694 2266 5994 1392 3477 1659 3134 1537 5706 1694 2243 2212 4750 2386 2508 2021 2391 3306 5824 1545 2926 2756 2374 2598 3498 2584 3462 2658 2104 2258 4220 3012 2199 1983 4074 2528 4483 2552 2639 2065 3768 2372 3177 2212 2873 2486 2905 2838 2946 2225 2594 2568 5546 2685 3284 2919 5314 2386 4358 1569 2838 3080 5204 3072 4090 2095 3449 2174 3760 2691 2642 2571 5216 2525 1987 2394 2615 2979 4324 2762 2259 2315 1921 2802 1906 1915 2258 3047 1926 2252 5644 2389 3634 2252 1918 2653 1647 1907 2738 2712 2729 2307 2210 2432 3212 2214 2405 2100 1680 2380 4221 2895 4181 2258 2805 2533 2480 2356 3287 2285 5817 2070 3434 2835 5728 2416 5348 2228 5982 2375 2386 2421 3703 1850 3044 2097 1534 2530 2725 2127 2093 2968 5878 2195 2170 2584 3514 2530 2554 1937 2633 2348 2216 2669 3983 2378 4386 1844 1566 2095 1645 2498 2429 2274 2812 2734 6003 2204 5983 2222 1906 2691 2909 2557 3823 2040 2500 2370 3092 2878 3724 2394 3761 2789 1726 2988 5016 2302 2729 2481 5017 2380 3343 2928 2061 2985 1985 2974 4899 2106 2378 2669 3651 2378 1560 1831 1634 3031 1940 2887 5834 2566 1814 3252 4473 2903 5456 2421 1490 2408 1819 2408 616 2250 2056 2993 2207 2478 3468 2375 1475 2220 2464 3124 4742 1831 5861 2576 5083 2127 2826 2721 1779 2832 3150 2876 2139 3026 3582 2737 2326 3350 2784 2851 1543 2563 5762 2914 2692 2865 3549 2555 2324 1357 3833 1803 5291 2171 2366 2136 3104 2563 4867 2122 1670 2664 3871 2361 3691 2059 1637 2712 4201 2612 2614 2710 3784 2070 3002 2454 4322 2511 3457 2239 201 {showmark} repeat 4122 2536 2938 2378 1992 2446 2546 2546 1694 2753 2120 2702 1557 2819 2247 2459 3106 1507 1690 2764 1696 2040 3604 1825 2011 2800 1891 2062 2620 2598 1658 1882 4060 1387 3325 2789 3183 3186 2208 2552 2802 1806 4492 1768 3130 2457 2993 2835 4070 2149 1626 2332 3381 2097 3754 1542 2394 2762 1194 2201 2844 2184 1835 1929 2159 2508 1678 1929 5172 1142 4025 1801 4572 1578 3204 2584 4927 2133 5087 2530 3525 2528 2339 2329 3542 1904 2803 2582 2362 2715 4136 1599 4424 1814 2777 1899 1940 2582 2183 2819 1954 2029 5930 1654 2222 2715 2141 2958 3518 3050 1967 2380 1719 2655 4115 2587 2510 3366 5045 1591 1310 2587 2843 2712 1897 3178 4232 2468 4190 1354 1798 2470 2448 2013 1476 2078 2129 2212 2755 2508 2528 2666 2880 2568 1903 2486 1540 2895 1812 2838 4016 2576 2250 2655 1528 2024 2530 2329 2381 2375 4132 1539 1699 2762 1372 2076 2101 2252 2008 2892 2184 3094 3888 1890 2930 2005 2588 1659 1717 1869 2152 2800 2382 2639 2063 2685 1820 2538 3595 2122 4469 1703 2390 2819 2356 2435 2191 1648 2208 1626 2918 2334 3441 2465 2804 1518 4676 1322 3082 1496 1946 1877 2022 2598 1848 2958 3086 2568 1558 1624 3849 1929 2108 1466 2154 2827 1793 2840 2408 2500 1258 1869 3800 1678 2613 2810 5177 1180 1617 3393 4854 3159 1059 2122 2336 2389 5360 3281 3619 2623 4053 2252 4284 2914 4653 2438 3280 2843 3290 2451 4528 2870 4578 2266 3636 2193 4036 2516 3491 2465 4460 2881 3922 2021 3229 2563 3448 2356 3760 2103 2646 1980 3214 2378 5348 2005 4306 2557 3348 2372 4932 2018 3066 2448 2937 3260 4730 1760 2654 2078 2658 2310 2865 2234 3809 1983 2943 1646 3501 2380 2180 2320 2099 2576 3358 2084 2729 2258 2994 2386 2330 3137 736 2486 2960 2928 2594 2560 3920 2737 3495 2459 3182 2204 3254 2911 3753 2892 4352 2830 3088 2849 3574 2225 3078 2372 2541 2778 347 2438 1791 2424 2473 2432 2612 2666 2275 2435 1766 2933 2077 2473 2038 2348 2523 2614 2544 2506 4046 2644 1861 2721 1738 2097 2678 1896 2018 2002 2538 2789 2116 1803 3812 2236 3800 2397 2339 2740 4403 1771 2405 2508 4555 3788 4814 2261 2534 3268 2198 2971 1913 2400 201 {showmark} repeat 2425 2146 3038 2664 3129 3330 2761 3142 2469 1961 2125 2179 2401 2960 2487 2503 1804 2231 2218 1809 1387 2541 1666 2166 3572 2438 2582 2887 1871 2046 1822 2190 1891 2198 2050 2677 4230 2163 2304 2345 2040 2097 2110 2302 1538 2503 1694 2421 2186 2353 1774 2184 2155 2579 1970 2691 3720 1899 1914 3469 2786 2410 2098 2152 2095 2062 1656 1760 2403 1624 2634 3393 3239 2059 1603 2282 1677 2726 1929 2614 1784 2318 1700 2500 1635 2644 3715 1855 1560 2350 1660 1972 2204 2408 2184 2495 1874 2830 1659 2726 3655 2737 1627 2528 2156 2508 1910 2732 1710 1953 3719 2018 3718 2919 1431 2446 1679 2813 1986 2737 2389 2642 3211 2427 1561 2740 3307 1983 1978 2653 2555 2601 1942 2160 2144 2312 1917 1975 4512 2704 1784 1776 2086 2040 1843 2076 2677 2375 1506 2108 2187 1556 2134 2364 1284 1874 1878 1262 1943 1613 3275 1918 1988 1863 2334 2329 1930 2778 1922 2636 3337 2332 1737 1716 1822 2209 255 2326 2492 2794 1744 1901 2278 1430 2101 2530 2188 1724 3048 1681 1676 2026 2087 1858 1743 2157 1479 1801 1606 1901 2276 1784 1903 1294 1962 2337 2283 2222 2356 2222 1964 2078 2892 2016 1823 2285 1671 2291 2484 2195 2034 1940 1916 1997 2016 2272 1875 1542 1960 2106 1744 1724 1783 2492 1930 2421 3200 2258 2269 2536 1970 2448 1437 2035 1504 2386 1361 2418 2088 2707 2764 1414 2548 2100 1545 1961 3623 2533 2119 2457 2773 2127 2559 2026 1943 2097 2765 1670 1161 1847 1877 1842 1920 2291 1674 2544 1627 2244 2595 2350 2563 1958 2338 2146 1681 2291 1848 2312 1481 2089 1393 2250 2082 2413 1955 2231 3718 2166 1617 2198 1678 2400 1942 1923 2896 2214 3276 2266 2225 2282 1512 2320 2936 2370 2138 2029 2958 2293 1322 2250 1630 2707 1310 2171 2086 2345 2340 1539 1950 2231 3812 2361 2779 2457 1158 1980 1703 1545 2058 1534 1432 2427 2758 2628 1800 2288 2138 2231 2663 2457 1678 2340 3451 2032 1971 2405 2356 2166 1625 2424 4022 2563 3599 2059 2472 2568 1797 2043 2018 2590 2115 2677 1587 2359 1546 2320 1673 1025 1930 1545 1332 2326 1652 2116 2734 2386 3500 2332 2086 2054 2223 2400 1613 2340 1928 2307 1759 2187 3394 2644 2015 2470 201 {showmark} repeat 2623 2244 1222 2141 2559 2291 1875 2792 1346 2430 2236 2952 1169 2332 3220 2043 2635 2144 2701 2206 1606 1950 1856 2163 5664 2065 3915 3036 5032 2307 3788 2682 3070 2762 4296 2903 3628 3080 3236 2890 4746 1994 4929 2416 4084 3162 3515 2500 3223 3238 5779 2288 4120 2536 5366 2332 3560 2827 3710 2873 2004 2576 4894 2979 2240 2617 5014 2878 2472 3091 1644 2348 2592 2416 3276 2329 2811 2682 4283 2141 3617 2609 2938 2830 2999 3238 2782 2699 2184 3091 4124 3006 2715 2952 2452 3104 2299 2854 2312 2890 2418 2890 2758 2775 3559 2737 2341 2903 5262 2555 3018 2772 2875 2890 2788 2571 2182 2397 3282 2528 2935 2944 2718 2204 2758 2941 3274 2206 4751 2182 3363 3072 1915 2424 3806 2468 3984 2465 2822 2922 2368 2865 2800 2979 1874 2938 3023 2876 3628 3262 2452 2236 4570 2914 2210 2922 3050 1967 2306 2468 2031 2933 2757 2617 2454 2323 4048 2410 2668 2293 1684 2266 3474 3056 3685 3358 2397 2990 3476 2636 3764 2340 2917 2707 2640 2955 3020 2892 2011 2707 4388 2163 2399 2486 4902 2350 2123 2549 3476 2560 2858 2979 2788 2808 3497 2639 3113 2800 3173 2960 2429 2628 2436 2835 2484 2865 2846 2737 4266 2514 2093 3145 2717 3080 2526 2451 2593 2340 2355 2176 4080 2538 2193 2516 4079 2277 2473 2560 2589 2370 3550 2247 2086 2963 2293 2737 3891 2342 2638 2367 2630 2187 2733 2190 2578 2356 2460 2280 2119 2519 3070 2639 3708 2478 2576 3050 3346 2481 3440 2304 2685 2269 2836 2296 3862 2370 2101 2830 3468 2789 2950 2486 5033 2029 2765 2239 2935 2389 1792 2516 2246 3058 2916 2552 2129 2596 2728 2272 4290 2560 2461 2332 1988 2843 2515 2549 2772 2310 2786 2391 2854 2604 2220 2552 3030 2448 3808 2421 2080 2634 3635 2516 3249 2421 3013 2394 1923 2367 2244 2489 3122 2522 3310 2405 2833 2508 3359 2732 2789 2724 1893 2440 2312 2136 2516 2712 2066 2546 2366 2982 1812 2745 2295 2620 2096 2634 3770 2092 2694 2519 1886 2500 3242 2650 3342 2443 3155 2092 2519 2576 2706 2840 3090 3053 1880 2748 1868 2936 2554 2759 2232 2878 2047 2737 1915 1667 2480 2737 2456 2623 2400 2691 2464 2438 2758 2038 2852 2051 2966 1882 2091 2367 201 {showmark} repeat 2796 1686 2459 1948 2163 1730 2160 2410 1767 2710 2661 2647 2258 2574 2536 2345 -184 2182 4194 2446 2952 2715 2800 2900 2267 2778 2673 2244 2073 1686 2820 2762 3571 2546 1765 3034 2226 2740 2283 2729 2619 2860 1871 2928 1797 1842 2713 2767 2146 2642 2565 1564 2764 2152 2091 1888 2605 2541 2786 2476 2045 2797 2274 2792 2202 2821 2805 2503 2691 2413 2746 2405 2520 2375 2527 1754 2996 1762 2757 2528 2935 1839 2456 1877 3456 2454 1760 2552 2686 1468 2219 2792 2523 2114 2681 1820 2370 1850 2024 2590 2637 2887 2314 2350 2438 2149 3761 1958 2838 2106 2127 1931 2512 2579 2378 2612 2581 2182 2424 2051 2447 2304 2541 1676 2498 2304 2596 2677 2508 1970 1906 2013 2078 2021 3104 2051 1905 2661 2184 2391 2352 2538 2822 2634 2612 1496 2356 1950 1790 2144 2337 1460 1768 1814 -368 2056 2354 2209 1876 2805 2332 1232 2802 2350 2550 2881 2386 2792 2597 2035 4181 2280 2745 2506 2298 2010 2313 1986 2054 2103 2342 1888 2602 2590 2186 2285 3036 2400 2796 2677 2256 1468 2094 2302 2344 1635 2321 2868 2438 2391 2491 1926 2244 2650 2580 2114 2927 2555 2167 2108 3513 2029 2576 1842 2182 1439 5379 2252 6035 2968 5167 2418 5997 3194 3494 2821 3135 2745 2860 2906 4014 2612 2446 2789 2034 3189 4048 2609 1914 2506 5922 2838 4258 2604 5581 2906 4111 2359 2718 2114 3946 2614 3113 2590 4658 2702 2751 1896 4212 2710 3032 2802 3757 1988 2818 2329 5349 2519 3335 2824 2196 2928 2108 2843 5799 2405 2759 2478 2544 2465 3989 2544 4125 2168 2744 2375 4736 2832 1955 2182 5276 2753 2798 3333 3149 2359 2969 2748 2577 3189 5575 3393 2533 2846 4740 2285 3919 3483 3775 2734 1741 2721 4698 2623 4903 1833 4455 3012 1763 3330 2336 2674 1891 3290 2343 2672 2223 2560 5976 3137 2889 2506 1494 2563 4773 2751 5078 2476 4782 2865 3426 2593 3200 2715 2400 2772 3559 2947 2162 2759 4714 3268 2572 3366 3336 2851 2230 2459 2642 2669 4652 2359 3348 2598 6040 2922 3512 2470 5939 3056 2312 2941 2273 3184 4022 2566 5449 3047 4498 3102 4255 2892 4222 2930 3035 2538 2585 2606 3090 3431 2309 2201 4680 3363 2515 3072 2778 2263 2671 2783 4736 2277 201 {showmark} repeat 3167 2329 3693 2266 4508 2620 3253 2827 3305 2881 4752 2843 5433 3164 5554 2174 1687 2285 3384 3646 5207 2427 5877 3213 3478 2508 2044 2576 2293 2614 6025 2500 4445 2971 4045 2947 3755 2525 2950 3426 4710 3056 2516 2263 2030 2810 2100 2367 2842 2800 2658 2800 4176 3034 3133 2922 3569 2958 4010 3050 2215 3377 4502 3145 1942 3632 3854 2299 4077 3295 5320 3469 3363 3216 3101 3102 4788 3853 3072 2500 5363 2865 2642 2416 5251 2688 2255 2898 2211 2443 1386 2546 2360 2835 3455 2805 2035 3224 2536 3175 2177 2892 2650 2721 1691 3145 1894 2890 1722 2890 5032 3273 3766 2168 2734 2617 4211 3828 4249 3091 2330 2508 2616 3178 2923 2626 4294 2715 4161 2296 2974 2010 3957 2418 2754 3262 2972 3113 4425 2998 2312 2840 2332 2762 4443 2536 5940 2416 3009 2609 5721 2184 2665 3015 2047 2851 3820 3036 6059 2163 5611 2876 4042 2391 2972 3355 3743 2840 1969 2601 5617 3317 1951 2432 2515 2538 3841 2416 2465 3510 2887 3115 3870 2587 5760 3044 2432 2971 5876 2367 4138 2802 5173 3673 2290 3268 4988 3096 2913 2756 3507 2285 2232 3200 2587 2832 2636 3700 2775 3654 2495 2881 5106 2252 3345 2459 4050 3026 4222 2988 2510 2596 5930 3820 1840 2906 4181 3486 2494 2715 4084 2435 2686 3507 4152 3151 1524 2070 4694 1852 2422 3597 2896 3521 4864 2802 2491 2751 4931 3129 2801 2770 5759 2998 2120 2802 4620 2418 1609 3094 3311 2114 5237 2337 3893 2590 5144 2593 3768 3499 4519 2724 2539 2486 2872 2620 3078 2759 3464 2644 2204 3159 5403 3412 4429 2440 2387 2421 3956 2378 3079 2468 5636 3532 1933 3031 1990 3080 315 2100 3734 3151 3570 3464 3800 2244 3251 3129 3606 2124 2366 2778 1833 2593 5050 2895 5860 2849 2502 2971 4241 2819 1680 3053 3048 2908 4293 1929 4985 3350 4209 3510 1712 2304 2737 2699 2942 2740 3557 2762 2171 2941 4732 2759 2885 2966 4172 2244 3165 2936 5657 2966 2714 2873 2675 2789 2023 1880 2888 2353 3237 1948 4592 2574 5677 1964 5152 2770 3452 1907 5672 3102 5288 3325 3998 2963 4017 3747 2478 3034 4017 1997 5839 1362 5361 1343 4636 2734 2470 1866 3860 2293 3011 2604 3927 3192 4820 2236 5976 1760 4900 2013 201 {showmark} repeat 4259 1858 3500 1526 3361 2266 2768 2982 5700 2560 4519 1855 4165 2947 1536 2293 3196 1762 3209 1929 3169 2195 3491 2674 3517 2631 1459 1953 4474 922 3793 1485 2523 2949 3380 2704 4099 2511 2071 2854 5421 3053 4292 3178 3654 2380 5845 3480 4827 2827 4140 3461 4686 3504 3144 3641 4176 2789 1040 2857 2579 3211 3670 2299 3741 1964 3304 1972 3982 1678 3198 2302 3854 1324 3694 2511 3618 2734 1152 2389 3227 2332 2304 2056 1834 1798 3668 2895 3502 1281 3185 3584 643 2277 3776 2737 5032 2612 5647 2386 3747 2669 2618 2604 -65 2614 2350 1765 4756 1118 2377 2127 5638 813 5312 1722 3520 2498 3475 2835 1978 2740 5770 3570 3343 3317 2518 2459 4322 1798 5393 2481 4073 2018 3172 1689 2962 2644 4424 1724 1541 2272 4849 2193 3632 1967 3367 2312 4817 2451 3897 1727 3368 3240 1841 3132 1120 2647 3911 2231 5918 3322 4130 2293 3196 1801 2636 1635 3672 2266 3844 2380 2780 2457 2848 3755 4644 3627 2921 1956 5832 2239 2435 3053 2408 2890 4710 1975 5658 1820 5573 1662 3765 2269 4219 1455 4819 1852 3566 1648 318 2631 3939 1956 2807 2397 4158 1809 5170 3300 3406 2908 2866 2563 4649 2993 4586 2424 4034 1833 1850 2742 3144 3853 3506 3121 3965 3015 3256 3145 3161 2508 3275 3404 1913 4816 3396 2631 2398 2712 3357 2511 2213 3208 4747 2549 2816 3006 3843 2563 4019 1744 2590 3450 2167 2280 3439 1480 4541 3249 3582 2816 2038 3044 4804 3047 5619 2802 2314 2979 3074 3371 3890 2519 3486 2100 4000 3524 3742 2141 3618 1787 4056 1082 3368 1305 3027 1806 3032 3820 2546 2506 4729 1243 3620 1822 2933 1673 4338 2182 2965 4120 3331 2160 4984 2340 3073 2612 2957 2217 1378 3058 2601 3311 3151 2767 2549 1319 2900 1877 4640 2448 2969 1352 2684 1608 3296 3227 4218 2503 3550 3521 2516 1850 2696 2454 1782 1833 3258 1610 3484 1501 1537 3148 3315 2898 4089 3211 2677 1686 3624 1904 4842 2438 2787 2231 3468 1463 3480 1504 3339 1676 3212 2174 3662 3815 4055 3546 2716 2584 3121 2734 5629 1626 2622 2873 3789 3074 3788 2982 3504 1733 3800 3736 2334 1801 4163 3184 2495 2010 3379 3347 2805 3246 4777 2508 4261 2470 5730 2976 5002 3232 201 {showmark} repeat 3794 3766 2872 2715 3754 2682 4006 2968 3450 3047 1810 2680 2793 2691 2907 2133 5568 2291 4410 2751 2057 3886 5941 2546 2174 2032 2651 2299 4816 927 6029 1978 4450 1148 6044 2323 4834 2432 575 2933 3931 2786 1664 2900 3301 2691 4497 1839 3944 2862 4834 900 4502 1991 5206 2566 3060 2644 3921 3994 2874 2860 3097 2974 2084 3069 2918 1999 4091 2626 4495 3047 2762 2677 2006 3317 4148 2541 3841 2647 2569 2563 3444 3347 2751 2130 2189 2288 4127 2432 2834 3080 3965 2386 2892 2669 3813 3330 2599 3080 2088 1534 3032 2614 3679 2827 4274 1803 4438 2418 2306 2457 4392 3142 5756 1937 3796 2601 3863 2454 3246 1765 2714 2925 3046 1899 3529 2821 2484 3134 3651 3020 4290 3044 3367 2860 4395 3344 3643 2936 2390 1578 2741 3211 4328 3602 3290 3017 2364 3186 3360 2073 4138 3167 4102 3162 2995 2348 2162 2206 1798 3124 2282 2634 1801 1910 5657 2849 5492 2846 3588 2734 2589 2459 3146 2805 4916 2462 2486 3020 2292 3023 3057 3194 1864 2350 2220 3020 2338 2928 1908 2002 3677 2770 2584 2579 1626 1218 -164 2144 2320 2546 2290 2862 1893 3001 4685 2740 2477 2917 1412 2212 1675 2206 2208 2568 3320 3077 3915 3235 3063 2903 2765 3124 3228 2966 2756 3074 2724 4071 2189 3728 3050 2898 4278 3012 1448 2644 3056 3134 3302 2634 3324 3164 2284 2832 4214 2857 1385 3268 5562 3088 2671 3050 2087 2734 2856 2756 2524 3232 1469 3227 5155 2985 2572 3270 2816 2157 3239 2473 2078 2947 2644 3249 2049 3790 3366 2990 2867 3396 2917 3213 2993 2718 1712 2914 1909 2549 2498 2378 3727 3192 1643 3333 2917 1450 2373 2326 2473 3189 3244 2968 3453 2533 2878 3134 5378 2963 2081 2762 3524 2389 2184 2394 2939 2963 3432 2522 1926 2810 2346 2947 3581 3575 2185 2655 2153 3355 4529 3178 3129 2764 4495 3807 2097 2590 1816 2244 2627 2941 2475 2190 2748 3330 3074 3252 2213 2890 3368 3382 2153 1716 2468 3300 2817 2870 2113 3363 2322 2122 2345 2840 3881 3330 3241 3107 2118 2498 2383 3676 3240 2819 2202 2280 2309 2285 2614 2252 2324 2484 1901 3124 2742 3671 2336 2231 3349 3058 2507 2729 2520 2397 3248 2810 2145 2400 2165 2528 2496 3036 3090 3017 201 {showmark} repeat 2354 2971 3083 2424 2986 2718 3017 2797 1744 3205 3852 1970 2956 2152 3295 2742 5144 2555 3446 1958 2602 1994 2949 2198 2080 2677 2766 2672 2692 1940 2028 2626 2220 3004 2459 3320 3388 2944 3389 2516 3708 2222 4930 2035 3136 2895 2676 2190 2564 2078 4377 2078 3824 1488 3003 1885 2624 2519 3166 3309 2488 2312 3589 2658 2530 2432 2984 2506 2888 2555 1871 2780 3958 3554 3050 1594 3624 3042 2801 2712 2199 2996 4556 1782 1667 2056 5376 1790 2894 3023 5649 3211 2188 2800 1400 2089 3040 2361 2211 3712 4010 3042 2636 1991 2172 2234 3444 3034 2658 2285 4047 3216 2953 2222 2270 2160 2268 3469 2720 3709 2620 2457 2611 2740 2719 2710 2804 3415 2118 2448 3308 2078 3638 2350 3400 2620 2557 2176 3840 2438 3385 2930 3402 2048 2514 1550 2649 3347 2071 2549 1936 2528 2473 2772 1740 2759 2478 2530 1738 2544 2240 2353 3285 2767 5994 2778 2940 2699 3143 2038 5898 1292 2056 2348 3688 2416 2806 2307 89 {showmark} repeat grestore % end of clipping 25 setlinewidth dashed setdash /linestyle {dashed} def /fillcolor {0.0 0.0 0.0} def /fillcolor {0.0 0.0 0.0} def newpath 960 2320 6080 2320 2 doline /fontsiz 457 def /spacesiz 30 def /fontsiz 457 def /spacesiz 30 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 38 def /txtpos [0.50 0.50] def 3659 -129 (Time \(s\)) sprnt /txtpos [0.00 0.00] def /fontsiz 343 def /spacesiz 22 def /fontsiz 343 def /spacesiz 22 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 28 def /txtpos [0.50 1.00] def 960 697 (0.5) sprnt 2240 697 (1.0) sprnt 3520 697 (1.5) sprnt 4800 697 (2.0) sprnt 6080 697 (2.5) sprnt /txtpos [1.00 0.35] def 697 960 (-5.0) sprnt 697 1640 (-2.5) sprnt 697 2320 (0.0) sprnt 697 3001 (2.5) sprnt 697 3681 (5.0) sprnt 697 4362 (7.5) sprnt solid setdash /fontsiz 457 def /spacesiz 30 def /fontsiz 457 def /spacesiz 30 def /mainfont /Times-Italic def mainfont findfont fontsiz scalefont setfont /txtspace 38 def /txtpos [0.50 1.00] def -473 5242 (a) sprnt -3708 -553 (b) sprnt 4096 -666 (d) sprnt -4445 -14742 translate solid setdash 0 0 translate 28.600028 28.600028 scale -18 -36 translate showpage %%EndDocument endTexFig 224 1512 a Fk(Figure)11 b(5:)17 b(The)10 b(ra)o(w)f(lo)q(calization)j (bias)f(against)f(mo)o(v)o(emen)o(t)f(duration)h(is)h(sho)o(wn)224 1573 y(in)21 b(a\))e(for)g(all)i(8)e(sub)s(jects)h(\(300)f(trials)h (eac)o(h\).)33 b(There)20 b(are)g(few)f(data)g(p)q(oin)o(ts)224 1634 y(for)j(short)f(mo)o(v)o(emen)o(t)g(durations)i(due)f(to)g(the)g (reaction)g(time)h(of)e(stopping)224 1695 y(in)f(resp)q(onse)g(to)f (the)h(tone|all)h(graphs)e(are)g(therefore)g(plotted)h(from)f(0.5)f(s.) 224 1756 y(b{e\))g(sho)o(w)g(the)h(main)g(e\013ect)f(\014ts)g(of)h(a)f (generalized)i(additiv)o(e)f(mo)q(del)h(to)e(the)224 1817 y(data)k(\(Hastie)h(&)g(Tibshirani)h(1990\).)41 b(The)23 b(propagation)f(of)g(the)h(\(b\))f(bias)224 1878 y(and)d(\(c\))f(v)m(ariance)i(of)e(the)h(state)f(estimate)h(is)g (sho)o(wn,)g(with)g(outer)f(standard)224 1940 y(error)d(lines,)j (against)d(mo)o(v)o(emen)o(t)g(duration.)22 b(The)16 b(di\013eren)o(tial)h(e\013ects)e(on)h(\(d\))224 2001 y(bias)g(and)f(\(e\))g(v)m(ariance)h(of)f(the)g(external)h(force,)f (assistiv)o(e)g(\(dotted)g(lines\))i(and)224 2062 y(resistiv)o(e)g (\(solid)h(lines\),)f(are)g(also)f(sho)o(wn)g(relativ)o(e)h(to)f(zero)h (\(dashed)g(line\).)25 b(A)224 2123 y(p)q(ositiv)o(e)17 b(bias)f(represen)o(ts)f(an)h(o)o(v)o(erestimation)f(of)g(the)h (distance)g(mo)o(v)o(ed.)21 b(The)224 2184 y(di\013erence)f(in)f(v)m (ariance)h(propagation)e(b)q(et)o(w)o(een)h(the)f(resistiv)o(e)i(and)e (assistiv)o(e)224 2245 y(\014elds)24 b(w)o(as)d(not)h(signi\014can)o(t) h(o)o(v)o(er)f(the)g(mo)o(v)o(emen)o(t;)i(the)f(di\013erence)g(in)g (bias)224 2306 y(w)o(as)16 b(signi\014can)o(t)i(at)e(the)h Fe(p)e Fk(=)g(0)p Fe(:)p Fk(05)h(lev)o(el.)25 b(Reprin)o(ted)18 b(with)f(p)q(ermission)i(from)224 2367 y(W)l(olp)q(ert,)c(Ghahramani)g (and)h(Jordan)f(\(1995b\).)p eop %%Page: 22 22 22 21 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(22)224 286 y(external)15 b(forces.)k(Represen)o(ting)c(the)f(state)f(of)h(the) g(hand)g(at)g(time)g Fe(t)h Fk(as)e Fa(x)p Fk(\()p Fe(t)p Fk(\))g(\(a)224 348 y(2)f Fg(\002)g Fk(1)18 b(v)o(ector)f(of)g(p)q (osition)i(and)g(v)o(elo)q(cit)o(y\),)f(the)g(system)g(dynamic)g (equations)224 409 y(can)12 b(b)q(e)g(written)g(in)h(the)f(general)g (form)f(of)956 408 y(_)948 409 y Fa(x)p Fk(\()p Fe(t)p Fk(\))h(=)h Fe(A)p Fa(x)p Fk(\()p Fe(t)p Fk(\))s(+)s Fe(B)r(u)p Fk(\()p Fe(t)p Fk(\))s(+)s Fa(w)q Fk(\()p Fe(t)p Fk(\))g(where)224 498 y Fe(A)i Fk(=)323 426 y Fc(")368 468 y Fk(0)93 b(1)368 529 y(0)41 b Fg(\000)p Fe(\014)r(=m)579 426 y Fc(#)603 498 y Fk(,)17 b Fe(B)g Fk(=)734 426 y Fc(")810 468 y Fk(0)779 529 y(1)p Fe(=m)885 426 y Fc(#)926 498 y Fk(and)f(the)h(v)o(ector)f Fa(w)q Fk(\()p Fe(t)p Fk(\))f(represen)o(ts)i(the)224 587 y(pro)q(cess)k(of)f (white)h(noise.)36 b(The)21 b(system)f(has)g(an)g(observ)m(able)i (output,)f Fa(y)q Fk(\()p Fe(t)p Fk(\),)224 648 y(represen)o(ting)c (the)g(proprio)q(ceptiv)o(e)h(signals)f(\(e.g.)e(from)h(m)o(uscle)h (spindles)i(and)224 709 y(join)o(t)j(receptors\),)h(whic)o(h)h(is)e (link)o(ed)i(to)e(the)g(actual)h(hidden)h(state)d Fa(x)p Fk(\()p Fe(t)p Fk(\))h(b)o(y)224 770 y Fa(y)q Fk(\()p Fe(t)p Fk(\))12 b(=)h Fe(C)s Fa(x)p Fk(\()p Fe(t)p Fk(\))8 b(+)i Fa(v)q Fk(\()p Fe(t)p Fk(\))k(where)h(the)g(v)o(ector)f Fa(v)q Fk(\()p Fe(t)p Fk(\))g(represen)o(ts)h(the)g(output)f(white)224 832 y(noise.)21 b(W)l(e)14 b(assume)h(that)f(this)h(system)f(is)i (fully)g(observ)m(able)f(and)g(c)o(ho)q(ose)g Fe(C)i Fk(to)224 893 y(b)q(e)g(the)g(iden)o(tit)o(y)g(matrix.)24 b(A)o(t)16 b(time)h Fe(t)f Fk(=)f(0)h(the)h(sub)s(ject)f(w)o(as)g(giv)o (en)h(full)h(view)224 954 y(of)f(his)i(arm)e(and,)h(therefore,)g (started)e(with)j(an)e(estimate)1274 953 y(^)1272 954 y Fa(x)o Fk(\(0\))f(=)h Fa(x)p Fk(\(0\))f(with)224 1015 y(zero)f(bias)h(and)g(v)m(ariance|i.e.)h(vision)f(calibrated)h(the)e (system.)20 b(A)o(t)15 b(this)g(time)224 1076 y(the)j(ligh)o(t)h(w)o (as)e(extinguished)k(and)d(the)g(sub)s(ject)g(had)g(to)g(rely)h(on)f (the)g(inputs)224 1137 y(and)c(outputs)f(to)g(estimate)h(the)f (system's)g(state.)19 b(The)14 b(Kalman)g(\014lter,)g(using)g(a)224 1198 y(mo)q(del)h(of)f(the)g(system)648 1187 y(^)636 1198 y Fe(A)p Fk(,)708 1187 y(^)697 1198 y Fe(B)j Fk(and)846 1187 y(^)836 1198 y Fe(C)s Fk(,)d(pro)o(vides)g(an)g(optimal)h(linear)h (estimator)224 1260 y(of)f(the)g(state)g(giv)o(en)g(b)o(y)499 1338 y(_)494 1350 y(^)492 1351 y Fa(x)o Fk(\()p Fe(t)p Fk(\))e(=)651 1339 y(^)639 1351 y Fe(A)676 1350 y Fk(^)673 1351 y Fa(x)p Fk(\()p Fe(t)p Fk(\))d(+)819 1339 y(^)808 1351 y Fe(B)s(u)p Fk(\()p Fe(t)p Fk(\))639 1379 y Fc(|)p 658 1379 105 5 v 105 w({z)p 801 1379 V 105 w(})632 1430 y Fk(F)l(orw)o(ard)j(mo)q(del)938 1351 y(+)8 b Fe(K)s Fk(\()p Fe(t)p Fk(\)[)p Fa(y)q Fk(\()p Fe(t)p Fk(\))g Fg(\000)1233 1339 y Fk(^)1223 1351 y Fe(C)1261 1350 y Fk(^)1258 1351 y Fa(x)p Fk(\()p Fe(t)p Fk(\)])981 1379 y Fc(|)p 1000 1379 148 5 v 148 w({z)p 1186 1379 V 148 w(})983 1430 y Fk(Sensory)15 b(correction)224 1511 y(where)e Fe(K)s Fk(\()p Fe(t)p Fk(\))e(is)i(the)f(recursiv)o(ely)i(up)q(dated)f (Kalman)g(gain)f(matrix)g(\(Figure)g(6a\).)224 1572 y(This)g(state)d (estimate)i(com)o(bines)h(an)e(estimate)h(from)f(the)h(in)o(ternal)h (mo)q(del)f(of)g(the)224 1633 y(system)j(dynamics)h(together)e(with)i (a)f(sensory)g(correction.)19 b(The)c(relativ)o(e)g(con-)224 1694 y(tributions)k(of)e(the)h(in)o(ternal)h(sim)o(ulation)g(and)f (sensory)f(correction)h(pro)q(cesses)224 1755 y(to)12 b(the)g(\014nal)i(estimate)e(are)g(mo)q(dulated)h(b)o(y)f(the)h(Kalman) g(gain)f(matrix)g(so)g(as)g(to)224 1816 y(pro)o(vide)18 b(minim)o(um)h(v)m(ariance)g(state)e(estimates.)27 b(W)l(e)17 b(use)h(this)g(state)f(up)q(date)224 1878 y(equation)d(to)g(mo)q(del)g (the)g(bias)h(and)f(v)m(ariance)g(propagation)g(and)g(the)g(e\013ects)f (of)224 1939 y(the)h(external)h(force.)k(The)14 b(parameters)g(in)h (the)f(sim)o(ulation,)h Fe(\014)r Fk(,)f Fe(m)g Fk(and)g Fe(u)g Fk(w)o(ere)224 2000 y(c)o(hosen)21 b(based)g(on)f(the)h(mass)f (of)g(the)g(arm)g(and)h(the)g(observ)o(ed)f(relationship)224 2061 y(b)q(et)o(w)o(een)c(time)f(and)h(distance)g(tra)o(v)o(eled.)295 2122 y(By)22 b(making)f(particular)i(c)o(hoices)f(for)g(the)f (parameters)g(of)g(the)h(Kalman)224 2183 y(\014lter,)i(w)o(e)e(are)g (able)i(to)d(sim)o(ulate)i(dead)g(rec)o(k)o(oning,)h(sensory)e(in\015o) o(w-based)224 2244 y(estimation,)16 b(and)h(forw)o(ard)d(mo)q (del-based)k(sensorimotor)d(in)o(tegration.)22 b(More-)224 2306 y(o)o(v)o(er,)15 b(to)h(accommo)q(date)g(the)g(observ)m(ation)h (that)e(sub)s(jects)h(generally)i(tend)e(to)224 2367 y(o)o(v)o(erestimate)i(the)g(distance)i(that)e(their)h(arm)e(has)i(mo)o (v)o(ed,)f(w)o(e)h(set)f(the)h(gain)p eop %%Page: 23 23 23 22 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(23)224 286 y(that)16 b(couples)i(force)f(to)f(state)g(estimates)g(to)h(a)f(v)m (alue)i(that)e(is)h(larger)g(than)g(its)224 348 y(v)o(eridical)i(v)m (alue.)26 b(This)17 b(setting)g(is)h(consisten)o(t)f(with)g(indep)q (enden)o(t)i(data)e(that)224 409 y(sub)s(jects)h(tend)h(to)f (under-reac)o(h)h(in)h(p)q(oin)o(ting)f(tasks,)f(suggesting)h(an)f(o)o (v)o(eres-)224 470 y(timation)g(of)f(distance)i(tra)o(v)o(eled)e(\(So)q (ec)o(h)o(ting)h(&)g(Flanders)g(1989\).)26 b(All)19 b(other)224 531 y(comp)q(onen)o(ts)c(of)g(the)g(in)o(ternal)i(mo)q(del)f(w)o(ere)f (set)g(to)f(their)i(v)o(eridical)h(v)m(alues.)295 592 y(Sim)o(ulations)25 b(of)e(the)g(Kalman)h(\014lter)h(demonstrated)e (the)g(t)o(w)o(o)g(distinct)224 653 y(phases)14 b(of)g(bias)h (propagation)e(observ)o(ed)h(\(Figure)g(6\).)19 b(By)14 b(o)o(v)o(erestimating)g(the)224 714 y(force)i(acting)g(on)h(the)f(arm) f(the)i(forw)o(ard)d(mo)q(del)k(o)o(v)o(erestimates)d(the)h(distance) 224 776 y(tra)o(v)o(eled,)d(an)f(in)o(tegrativ)o(e)g(pro)q(cess)h(ev)o (en)o(tually)g(balanced)h(b)o(y)e(the)h(sensory)f(cor-)224 837 y(rection.)20 b(The)c(mo)q(del)g(also)f(captured)h(the)f (di\013eren)o(tial)h(e\013ects)f(on)g(bias)h(of)f(the)224 898 y(externally)21 b(imp)q(osed)g(forces.)33 b(By)20 b(o)o(v)o(erestimating)f(an)h(increased)h(force)e(un-)224 959 y(der)14 b(the)g(assistiv)o(e)g(condition,)h(the)f(bias)g(in)g(the) g(forw)o(ard)f(mo)q(del)h(accrues)g(more)224 1020 y(rapidly)i(and)f(is) g(balanced)h(b)o(y)f(the)g(sensory)f(feedbac)o(k)h(at)g(a)f(higher)i (lev)o(el.)21 b(The)224 1081 y(con)o(v)o(erse)16 b(applies)i(to)d(the)h (resistiv)o(e)h(force.)22 b(The)17 b(pattern)e(of)h(v)m(ariance)h (propa-)224 1142 y(gation)h(w)o(as)e(also)i(captured)g(b)o(y)g(the)f (mo)q(del.)29 b(During)18 b(the)f(early)h(part)f(of)h(the)224 1204 y(mo)o(v)o(emen)o(t,)i(b)q(ecause)h(of)e(the)h(initial)j(visual)e (calibration)g(the)f(curren)o(t)g(state)224 1265 y(estimate)f (resulting)g(from)f(the)h(forw)o(ard)f(mo)q(del)h(is)g(accurate,)g(and) g(therefore)224 1326 y(the)14 b(sensorimotor)e(in)o(tegration)h(pro)q (cess)h(w)o(eigh)o(ts)f(it)h(more)f(hea)o(vily)l(.)20 b(Ho)o(w)o(ev)o(er,)224 1387 y(in)15 b(the)f(later)f(stages)g(of)h(the) f(mo)o(v)o(emen)o(t,)g(when)h(the)g(curren)o(t)g(state)f(estimate)g(is) 224 1448 y(less)k(accurate,)g(the)f(sensory)h(feedbac)o(k)g(m)o(ust)f (b)q(e)h(relied)h(up)q(on)f(to)f(correct)g(for)224 1509 y(inaccuracies)k(in)f(the)f(forw)o(ard)f(mo)q(del.)30 b(In)19 b(the)f(Kalman)h(\014lter,)g(the)f(relativ)o(e)224 1570 y(w)o(eigh)o(ting)c(shifts)f(from)g(the)g(forw)o(ard)f(mo)q(del)i (to)o(w)o(ards)e(sensory)h(feedbac)o(k)h(o)o(v)o(er)224 1632 y(the)f(\014rst)f(second)h(of)f(mo)o(v)o(emen)o(t)g(and)h(then)g (remains)g(appro)o(ximately)g(constan)o(t)224 1693 y(resulting)i(in)f (the)g(asymptote)f(of)g(the)h(v)m(ariance)h(propagation.)k(In)14 b(accord)f(with)224 1754 y(the)e(exp)q(erimen)o(tal)h(results)f(the)g (mo)q(del)h(predicts)f(no)g(c)o(hange)g(in)g(v)m(ariance)h(under)224 1815 y(the)j(t)o(w)o(o)f(force)h(conditions.)295 1876 y(These)h(results)g(sho)o(w)f(that)g(the)h(Kalman)g(\014lter)g(is)h (able)f(to)f(repro)q(duce)i(the)224 1937 y(propagation)d(of)g(the)g (bias)h(and)f(v)m(ariance)i(of)d(estimated)i(p)q(osition)g(of)f(the)g (hand)224 1998 y(as)21 b(a)g(function)h(of)f(b)q(oth)h(mo)o(v)o(emen)o (t)e(duration)h(and)h(external)g(forces.)38 b(The)224 2059 y(mo)q(del)22 b(also)f(sim)o(ulates)h(the)f(in)o(teresting)h(and)f (no)o(v)o(el)h(empirical)h(result)f(that)224 2121 y(while)c(the)f(v)m (ariance)h(asymptotes,)e(the)g(bias)i(p)q(eaks)f(after)f(ab)q(out)g (one)h(second)224 2182 y(and)e(then)f(gradually)h(declines.)22 b(This)15 b(b)q(eha)o(vior)g(is)g(a)f(consequence)h(of)f(a)g(trade)224 2243 y(o\013)19 b(b)q(et)o(w)o(een)i(the)f(inaccuracies)h(accum)o (ulating)g(in)g(the)f(in)o(ternal)h(sim)o(ulation)224 2304 y(of)14 b(the)h(arm's)e(dynamics)j(and)e(the)h(feedbac)o(k)g(of)f (actual)h(sensory)f(information.)224 2365 y(Simple)21 b(mo)q(dels)e(whic)o(h)h(do)e(not)g(trade)h(o\013)e(the)i(con)o (tributions)h(of)e(a)g(forw)o(ard)p eop %%Page: 24 24 24 23 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(24)419 292 y 15849778 8241879 1184071 24470814 39534837 44468469 startTexFig 419 292 a %%BeginDocument: kal.ps 1 setlinejoin /M { moveto } bind def /S { show } bind def /R { rmoveto } bind def /L { lineto } bind def /B { newpath 0 0 M 0 1 L 1 1 L 1 0 L closepath } bind def /CS { closepath stroke } bind def /S { /fixwidth exch def dup length /nchars exch def dup stringwidth pop fixwidth exch sub nchars div exch 0 exch ashow } def /bwproc { rgbproc dup length 3 idiv string 0 3 0 5 -1 roll { add 2 1 roll 1 sub dup 0 eq { pop 3 idiv 3 -1 roll dup 4 -1 roll dup 3 1 roll 5 -1 roll put 1 add 3 0 } { 2 1 roll } ifelse } forall pop pop pop } def systemdict /colorimage known not { /colorimage { pop pop /rgbproc exch def { bwproc } image } def } if 1 1 scale 0 setlinewidth /drawtri { /y3 exch def /x3 exch def /y2 exch def /x2 exch def /y1 exch def /x1 exch def 0 setgray newpath x1 y1 moveto x2 y2 lineto x3 y3 lineto closepath stroke } bind def /filltri { /y3 exch def /x3 exch def /y2 exch def /x2 exch def /y1 exch def /x1 exch def newpath x1 y1 moveto x2 y2 lineto x3 y3 lineto closepath fill } bind def /cliptri { /y3 exch def /x3 exch def /y2 exch def /x2 exch def /y1 exch def /x1 exch def 0 setgray newpath x1 y1 moveto x2 y2 lineto x3 y3 lineto closepath clip } bind def /imgscanrgb { gsave translate /scandy exch def /scandx exch def /istr scandx 3 mul string def scandx scandy scale scandx scandy 8 [scandx 0 0 scandy neg 0 scandy] {currentfile istr readhexstring pop} false 3 colorimage grestore } bind def /imgscanbw { gsave translate /scandy exch def /scandx exch def /istr scandx string def scandx scandy scale scandx scandy 8 [scandx 0 0 scandy neg 0 scandy] {currentfile istr readhexstring pop} image grestore } bind def /showcaseisoencoding [ /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space /exclam /quotedbl /numbersign /dollar /percent /ampersand /quoteright /parenleft /parenright /asterisk /plus /comma /minus /period /slash /zero /one /two /three /four /five /six /seven /eight /nine /colon /semicolon /less /equal /greater /question /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /backslash /bracketright /asciicircum /underscore /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u /v /w /x /y /z /braceleft /bar /braceright /asciitilde /guilsinglright /fraction /florin /quotesingle /quotedblleft /guilsinglleft /fi /fl /endash /dagger /daggerdbl /bullet /quotesinglbase /quotedblbase /quotedblright /ellipsis /trademark /dotlessi /grave /acute /circumflex /tilde /macron /breve /dotaccent /dieresis /perthousand /ring /cedilla /Ydieresis /hungarumlaut /ogonek /caron /emdash /exclamdown /cent /sterling /currency /yen /brokenbar /section /dieresis /copyright /ordfeminine /guillemotleft /logicalnot /hyphen /registered /macron /degree /plusminus /twosuperior /threesuperior /acute /mu /paragraph /periodcentered /cedilla /onesuperior /ordmasculine /guillemotright /onequarter /onehalf /threequarters /questiondown /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla /Egrave /Eacute /Ecircumflex /Edieresis /Igrave /Iacute /Icircumflex /Idieresis /Eth /Ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /multiply /Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /germandbls /agrave /aacute /acircumflex /atilde /adieresis /aring /ae /ccedilla /egrave /eacute /ecircumflex /edieresis /igrave /iacute /icircumflex /idieresis /eth /ntilde /ograve /oacute /ocircumflex /otilde /odieresis /divide /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis ] def /showcasedingbatencoding [ /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /a1 /a2 /a202 /a3 /a4 /a5 /a119 /a118 /a117 /a11 /a12 /a13 /a14 /a15 /a16 /a105 /a17 /a18 /a19 /a20 /a21 /a22 /a23 /a24 /a25 /a26 /a27 /a28 /a6 /a7 /a8 /a9 /a10 /a29 /a30 /a31 /a32 /a33 /a34 /a35 /a36 /a37 /a38 /a39 /a40 /a41 /a42 /a43 /a44 /a45 /a46 /a47 /a48 /a49 /a50 /a51 /a52 /a53 /a54 /a55 /a56 /a57 /a58 /a59 /a60 /a61 /a62 /a63 /a64 /a65 /a66 /a67 /a68 /a69 /a70 /a71 /a72 /a73 /a74 /a203 /a75 /a204 /a76 /a77 /a78 /a79 /a81 /a82 /a83 /a84 /a97 /a98 /a99 /a100 /.notdef /a205 /a85 /a206 /a86 /a87 /a88 /a89 /a90 /a91 /a92 /a93 /a94 /a95 /a96 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /a101 /a102 /a103 /a104 /a106 /a107 /a108 /a112 /a111 /a110 /a109 /a120 /a121 /a122 /a123 /a124 /a125 /a126 /a127 /a128 /a129 /a130 /a131 /a132 /a133 /a134 /a135 /a136 /a137 /a138 /a139 /a140 /a141 /a142 /a143 /a144 /a145 /a146 /a147 /a148 /a149 /a150 /a151 /a152 /a153 /a154 /a155 /a156 /a157 /a158 /a159 /a160 /a161 /a163 /a164 /a196 /a165 /a192 /a166 /a167 /a168 /a169 /a170 /a171 /a172 /a173 /a162 /a174 /a175 /a176 /a177 /a178 /a179 /a193 /a180 /a199 /a181 /a200 /a182 /.notdef /a201 /a183 /a184 /a197 /a185 /a194 /a198 /a186 /a195 /a187 /a188 /a189 /a190 /a191 /.notdef ] def /Courier-Bold findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding showcaseisoencoding def currentdict end /Courier-Bold-SHOWISO exch definefont pop /Helvetica findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding showcaseisoencoding def currentdict end /Helvetica-SHOWISO exch definefont pop /Times-Italic findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding showcaseisoencoding def currentdict end /Times-Italic-SHOWISO exch definefont pop /newfont 10 dict def newfont begin /FontType 3 def /FontMatrix [1 0 0 1 0 0] def /FontBBox [0 0 1 1] def /Encoding 256 array def 0 1 255 {Encoding exch /.notdef put} for /CharProcs 1 dict def CharProcs begin /.notdef {} def end /BuildChar { 1 0 0 0 1 1 setcachedevice exch begin Encoding exch get CharProcs exch get end exec } def end /PatternFont newfont definefont pop gsave /saveit save def gsave gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 28.869 596.673] concat newpath 0 0 M 0 36 L 85.016 36 L 85.016 0 L closepath setmatrix 0 0 0 setrgbcolor grestore newpath 27.4519 595.256 M 27.4519 624.499 L 90.5222 624.499 L 90.5222 595.256 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 28.869 596.673] concat 19.504 21.2727 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 19.504 21.2727 M (Motor) 46.008 S 1 3.27273 M 1 3.27273 M (Command) 83.016 S setmatrix grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 18.5833 516.648] concat newpath 0 0 M 0 36 L 114.05 36 L 114.05 0 L closepath setmatrix 1 1 1 setrgbcolor gsave fill grestore 0 0 0 setrgbcolor grestore newpath 17.1663 515.231 M 17.1663 544.474 L 100.808 544.474 L 100.808 515.231 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 18.5833 516.648] concat 3.502 21.2727 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 3.502 21.2727 M (Current State ) 112.05 S 22.015 3.27273 M 22.015 3.27273 M (Estimate) 70.02 S setmatrix grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 317.673 592.016] concat newpath 0 0 M 0 36 L 91.046 36 L 91.046 0 L closepath setmatrix 1 1 1 setrgbcolor gsave fill grestore 0 0 0 setrgbcolor grestore newpath 316.256 590.599 M 316.256 619.841 L 383.598 619.841 L 383.598 590.599 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 317.673 592.016] concat 7.507 21.2727 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 7.507 21.2727 M (Predicted ) 81.036 S 3.502 3.27273 M 3.502 3.27273 M (Next State ) 89.046 S setmatrix grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 516.161 440.844] concat newpath 0 0 M 0 36 L 85.016 36 L 85.016 0 L closepath setmatrix 1 1 1 setrgbcolor gsave fill grestore 0 0 0 setrgbcolor grestore newpath 514.744 439.427 M 514.744 468.67 L 577.814 468.67 L 577.814 439.427 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 516.161 440.844] concat 21.493 21.2727 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 21.493 21.2727 M (State ) 47.034 S 1 3.27273 M 1 3.27273 M (Correction) 83.016 S setmatrix grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 376.204 445.944] concat newpath 0 0 M 0 36 L 68.024 36 L 68.024 0 L closepath setmatrix 1 1 1 setrgbcolor gsave fill grestore 0 0 0 setrgbcolor grestore newpath 374.787 444.527 M 374.787 473.77 L 425.818 473.77 L 425.818 444.527 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 376.204 445.944] concat 1 21.2727 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 1 21.2727 M (Sensory) 66.024 S 14.014 3.27273 M 14.014 3.27273 M (Error) 39.996 S setmatrix grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 260.562 372.453] concat newpath 0 0 M 0 36 L 128.054 36 L 128.054 0 L closepath setmatrix 1 1 1 setrgbcolor gsave fill grestore 0 0 0 setrgbcolor grestore newpath 259.145 371.036 M 259.145 400.279 L 352.709 400.279 L 352.709 371.036 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 260.562 372.453] concat 3.502 21.2727 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 3.502 21.2727 M (Actual Sensory ) 126.054 S 24.508 3.27273 M 24.508 3.27273 M (Feedback) 79.038 S setmatrix grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 261.104 443.898] concat newpath 0 0 M 0 54 L 81.038 54 L 81.038 0 L closepath setmatrix 1 1 1 setrgbcolor gsave fill grestore 0 0 0 setrgbcolor grestore newpath 259.687 442.481 M 259.687 484.478 L 319.939 484.478 L 319.939 442.481 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 261.104 443.898] concat 2.503 39.2727 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 2.503 39.2727 M (Predicted) 76.032 S 7.507 21.2727 M 7.507 21.2727 M (Sensory ) 71.028 S 1 3.27273 M 1 3.27273 M (Feedback) 79.038 S setmatrix grestore gsave 0 0 0 setrgbcolor gsave 0 setlinejoin 147.753 576.017 translate 0 rotate 1.1 1.1 scale newpath 0 0 M -20 -5 L -20 5 L closepath fill grestore gsave 0 setlinejoin 146.552 441.599 translate 0 rotate 1.1 1.1 scale newpath 0 0 M -20 -5 L -20 5 L closepath fill grestore 1.000000 setlinewidth newpath 128.753 576.017 M 104.732 576.017 L 104.732 441.599 L 127.552 441.599 L stroke grestore gsave 0 0 0 setrgbcolor 1.000000 setlinewidth newpath 44.0722 508.549 M 103.621 508.549 L stroke grestore gsave matrix currentmatrix [99.6062 0 0 -55.2651 148 614.662] concat B setmatrix 1 setgray gsave fill grestore 0 0 0 setrgbcolor 0 0 0 setrgbcolor 1.000000 setlinewidth gsave stroke grestore grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 154.574 567.899] concat newpath 0 0 M 0 54 L 122.024 54 L 122.024 0 L closepath setmatrix 0 0 0 setrgbcolor grestore newpath 153.157 566.482 M 153.157 608.478 L 242.449 608.478 L 242.449 566.482 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 154.574 567.899] concat 1 39.2727 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 1 39.2727 M (Forward Model) 120.024 S 28.009 21.2727 M 28.009 21.2727 M (of Arm's) 66.006 S 19.009 3.27273 M 19.009 3.27273 M ( Dynamics) 84.006 S setmatrix grestore gsave 0 0 0 setrgbcolor gsave 0 setlinejoin 512 498 translate 90 rotate 1.1 1.1 scale newpath 0 0 M -20 -5 L -20 5 L closepath fill grestore 1.000000 setlinewidth newpath 247.417 440 M 512 440 L 512 479 L stroke grestore gsave matrix currentmatrix [53.4357 0 0 -44.6372 431.403 464.753] concat B setmatrix 1 setgray gsave fill grestore 0 0 0 setrgbcolor 0 0 0 setrgbcolor 1.000000 setlinewidth gsave stroke grestore grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 435.795 429.681] concat newpath 0 0 M 0 36 L 63.02 36 L 63.02 0 L closepath setmatrix 1 1 1 setrgbcolor gsave fill grestore 0 0 0 setrgbcolor grestore newpath 434.378 428.264 M 434.378 457.506 L 481.864 457.506 L 481.864 428.264 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 435.795 429.681] concat 1 21.2727 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 1 21.2727 M (Kalman) 61.02 S 12.502 3.27273 M 12.502 3.27273 M (Gain) 38.016 S setmatrix grestore gsave 0 0 0 setrgbcolor gsave 0 setlinejoin 353 425.5 translate 90 rotate 1.1 1.1 scale newpath 0 0 M -20 -5 L -20 5 L closepath fill grestore 1.000000 setlinewidth newpath 353 372 M 353 406.5 L stroke grestore gsave 0 0 0 setrgbcolor gsave 0 setlinejoin 511 529 translate -90 rotate 1.1 1.1 scale newpath 0 0 M -20 -5 L -20 5 L closepath fill grestore 1.000000 setlinewidth newpath 248.75 585 M 511 585 L 511 548 L stroke grestore gsave 0 0 0 setrgbcolor gsave 0 setlinejoin 601.75 513 translate 0 rotate 1.1 1.1 scale newpath 0 0 M -20 -5 L -20 5 L closepath fill grestore 1.000000 setlinewidth newpath 531 513 M 582.75 513 L stroke grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 534 520] concat newpath 0 0 M 0 36 L 91.046 36 L 91.046 0 L closepath setmatrix 1 1 1 setrgbcolor gsave fill grestore 0 0 0 setrgbcolor grestore newpath 532.583 518.583 M 532.583 547.826 L 599.926 547.826 L 599.926 518.583 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 534 520] concat 3.502 21.2727 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 3.502 21.2727 M (Next State ) 89.046 S 10.513 3.27273 M 10.513 3.27273 M (Estimate) 70.02 S setmatrix grestore gsave 1 setgray matrix currentmatrix [16.7218 0 0 16.7218 513.123 513.071] concat newpath 0 0 1 0 360 arc closepath fill setmatrix 1.000000 setlinewidth matrix currentmatrix [16.7218 0 0 16.7218 513.123 513.071] concat newpath 0 0 1 0 360 arc 0 0 0 setrgbcolor closepath setmatrix stroke grestore gsave 1 setgray newpath 500.566 524.178 M 525.055 501.351 L closepath eofill 0 0 0 setrgbcolor 1.000000 setlinewidth newpath 500.566 524.178 M 525.055 501.351 L stroke grestore gsave 1 setgray newpath 501.876 501.163 M 524.34 525.264 L 525.118 524.539 L closepath eofill 0 0 0 setrgbcolor 1.000000 setlinewidth newpath 501.876 501.163 M 524.34 525.264 L 525.118 524.539 L stroke grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 508.149 517.092] concat newpath 0 0 M 0 18 L 12.512 18 L 12.512 0 L closepath setmatrix 0 0 0 setrgbcolor grestore newpath 506.732 515.675 M 506.732 532.164 L 518.432 532.164 L 518.432 515.675 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 508.149 517.092] concat 1 3.27273 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 1 3.27273 M (+) 10.512 S setmatrix grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 509.403 496.255] concat newpath 0 0 M 0 18 L 12.512 18 L 12.512 0 L closepath setmatrix 0 0 0 setrgbcolor grestore newpath 507.985 494.838 M 507.985 511.327 L 519.685 511.327 L 519.685 494.838 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 509.403 496.255] concat 1 3.27273 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 1 3.27273 M (+) 10.512 S setmatrix grestore gsave 0 0 0 setrgbcolor gsave 0 setlinejoin 148.072 593 translate 0 rotate 1.1 1.1 scale newpath 0 0 M -20 -5 L -20 5 L closepath fill grestore 1.000000 setlinewidth newpath 44.0722 593 M 129.072 593 L stroke grestore gsave 1 setgray matrix currentmatrix [16.7218 0 0 16.7218 351.76 441.272] concat newpath 0 0 1 0 360 arc closepath fill setmatrix 1.000000 setlinewidth matrix currentmatrix [16.7218 0 0 16.7218 351.76 441.272] concat newpath 0 0 1 0 360 arc 0 0 0 setrgbcolor closepath setmatrix stroke grestore gsave 1 setgray newpath 339.203 452.379 M 363.693 429.552 L closepath eofill 0 0 0 setrgbcolor 1.000000 setlinewidth newpath 339.203 452.379 M 363.693 429.552 L stroke grestore gsave 1 setgray newpath 340.514 429.364 M 362.978 453.465 L 363.755 452.74 L closepath eofill 0 0 0 setrgbcolor 1.000000 setlinewidth newpath 340.514 429.364 M 362.978 453.465 L 363.755 452.74 L stroke grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 348.134 424.475] concat newpath 0 0 M 0 18 L 12.512 18 L 12.512 0 L closepath setmatrix 0 0 0 setrgbcolor grestore newpath 346.717 423.058 M 346.717 439.547 L 358.416 439.547 L 358.416 423.058 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 348.134 424.475] concat 1 3.27273 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 1 3.27273 M (+) 10.512 S setmatrix grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 338.011 434.186] concat newpath 0 0 M 0 18 L 12.512 18 L 12.512 0 L closepath setmatrix 0 0 0 setrgbcolor grestore newpath 336.594 432.769 M 336.594 449.259 L 348.293 449.259 L 348.293 432.769 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 338.011 434.186] concat 1 3.27273 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 1 3.27273 M (-) 10.512 S setmatrix grestore gsave matrix currentmatrix [99.6062 0 0 -55.2651 148 467.669] concat B setmatrix 1 setgray gsave fill grestore 0 0 0 setrgbcolor 0 0 0 setrgbcolor 1.000000 setlinewidth gsave stroke grestore grestore gsave gsave matrix currentmatrix [0.708527 0 0 0.708527 167.322 420.906] concat newpath 0 0 M 0 54 L 86.042 54 L 86.042 0 L closepath setmatrix 0 0 0 setrgbcolor grestore newpath 165.905 419.489 M 165.905 461.486 L 229.702 461.486 L 229.702 419.489 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [0.708527 0 0 0.708527 167.322 420.906] concat 6.004 39.2727 M /Helvetica-SHOWISO findfont 18 scalefont setfont 0 0 0 setrgbcolor 6.004 39.2727 M (Model of ) 84.042 S 10.009 21.2727 M 10.009 21.2727 M (Sensory) 66.024 S 16.003 3.27273 M 16.003 3.27273 M (Output) 54.036 S setmatrix grestore gsave gsave matrix currentmatrix [1 0 0 1 30 651.5] concat newpath 0 0 M 0 24 L 14 24 L 14 0 L closepath setmatrix 0 0 0 setrgbcolor grestore newpath 28 649.5 M 28 679.466 L 46 679.466 L 46 649.5 L closepath clip newpath 0 0 0 setrgbcolor matrix currentmatrix [1 0 0 1 30 651.5] concat /Times-Italic-SHOWISO findfont 24 scalefont setfont 0 0 0 setrgbcolor 0 4.96552 M (a) 12 S setmatrix grestore grestore showpage saveit restore grestore %%EndDocument endTexFig 301 865 a 19579138 14096973 1973452 19471400 40455782 47560212 startTexFig 301 865 a %%BeginDocument: simulrev.ps %gr.pro prolog for graph plots from bruce's own graphics /G2PSbegin {newpath 0 0 moveto 12 setlinewidth 0 0 0 setrgbcolor 1 setlinecap 0 setlinejoin 2 setmiterlimit /imtx matrix currentmatrix def /dmtx matrix defaultmatrix def} def /len {dup mul exch dup mul add sqrt} def /dotpat {0 imtx dtransform len 0 idtransform len}def /solid {{}0}def /dotted {[0 dotpat 3 dotpat ] 0}def /fewdotted {[0 dotpat 6 dotpat ] 0} def /longdashed {[10 dotpat 4 dotpat] 0}def /shortdashed {[4 dotpat] 0}def /dashed {[6 dotpat] 0} def /dotdashed {[1 dotpat 6 dotpat 10 dotpat 6 dotpat] 0}def /none {[0 dotpat 10000 dotpat] 0} def /linestyle {solid} def /ratio 1 def /symbsiz 20 def % symbol size/radius /symbw 40 def /symbh 40 def /patternw 20 def /fillcolor {1 1 1} def % setrgbcolor value for symbol insides /linecolor {0 0 0} def % set color value for lines /nofill {} def /colorfill {fillcolor setrgbcolor fill} def /symbfil {colorfill} def % I think first true should be false, but little success /ifpath {pathbbox eq {eq {false} {true} ifelse} {pop pop true} ifelse} def /ifheight {pathbbox exch pop eq {pop false} {pop true} ifelse} def /crossfill { gsave 1.0 1.0 1.0 setrgbcolor fill grestore % wipe the inside clean clip currentpoint 0 patternw symbw {0 patternw symbh {patternw patternw rlineto patternw neg 0 rmoveto patternw patternw neg rlineto patternw neg patternw rmoveto pop} for patternw symbh patternw add patternw idiv patternw mul neg rmoveto pop} for stroke newpath moveto} def /plusfill { gsave 1.0 1.0 1.0 setrgbcolor fill grestore % wipe the inside clean clip currentpoint 0 patternw symbw {0 patternw symbh {patternw 0 rlineto patternw 2 div neg 0 rmoveto 0 patternw rlineto patternw 2 div neg 0 rmoveto pop} for patternw symbh patternw add patternw idiv patternw mul neg rmoveto pop} for stroke newpath moveto} def /txtpath 0 def % direction for strings in degrees /txtpos [0 0] def % positioning of strings relative to % current position /subpos [0 0] def /txtspace 1 def % space between letters in x direction /fontsiz 15 def % size of font /spacesiz 1 def % size for space character /foostr () def % draws a line between a pair of points /pairup {moveto lineto stroke} def /ifpairup {moveto lineto ifpath {stroke} if} def /dopairs { linecolor setrgbcolor {pairup} repeat} def % draws a line joining n points, where n is the last % number before doline is called /doline { linecolor setrgbcolor 3 1 roll moveto 1 sub {lineto} repeat stroke} def % fill area closes the path and fills the area /fillarea { linecolor setrgbcolor 3 1 roll moveto 1 sub {lineto} repeat gsave closepath symbfil grestore stroke} def % draws a circle radius symbsiz at current point /docircle { newpath linestyle setdash symbsiz 0 360 arc gsave closepath % define cirlce symbw neg symbh 2 div neg rmoveto symbfil % move to corner before filling grestore linecolor setrgbcolor stroke } def /ori 0 def /doellipse { dup neg /movy exch def exch dup neg /movx exch def exch translate ori rotate 1 ratio scale newpath linestyle setdash 0 0 symbsiz 0 360 arc gsave closepath % define cirlce symbw neg symbh 2 div neg rmoveto symbfil % move to corner before filling grestore linecolor setrgbcolor stroke 1 ratio 1 exch div scale ori neg rotate movx movy translate} def % dobar draws a vertical bar % y x basey => - /dobar {newpath dup 3 1 roll exch symbsiz sub exch moveto symbsiz 2 mul 0 rlineto sub dup /symbh exch def dup 0 exch rlineto symbsiz 2 mul neg 0 rlineto neg 0 exch rlineto ifheight {gsave closepath symbfil grestore} if ifheight {stroke} if} def % an array descibing the relative co-ordinates of a the % points in a non-circular symbol /symbary [10 10 -20 0 0 -20 20 0 0 20] def % draws a symbol desribed by an array on top of the stack /arydraw { /ard exch def currentpoint % save centre posn ard 0 get ard 1 get rmoveto % go to plotting point 2 2 ard length 1 sub % { dup 1 add ard exch get exch ard exch get rlineto } for gsave closepath moveto % return to centre symbw 2 div neg symbh 2 div neg rmoveto % bottom left corner ifpath {symbfil} if grestore ifpath {linecolor setrgbcolor stroke} if } def % plots symbol symbary at x,y on the stack /plotsymb {dupxy /movy exch neg def /movx exch neg def moveto ori rotate symbary arydraw ori neg rotate movx movy moveto} def % prints a string in direction txtpath, /sprnt {3 1 roll dup neg 4 1 roll exch dup neg 5 1 roll exch translate txtpath rotate puts txtpath neg rotate translate} def /puts {linecolor setrgbcolor dup dup stringwidth pop exch length txtspace mul add txtpos 0 get mul neg fontsiz txtpos 1 get mul neg moveto 0 0 8#040 txtspace 0 6 -1 roll awidthshow} def /showmark {docircle} def /dupxy {dup 3 2 roll dup 4 1 roll exch} def /nlin 0 def /offx 0 def /showkeyline {dupxy dupxy dupxy exch symbw nlin mul add exch ifpath {pairup} if pop pop} def /showkeysymb {dupxy exch offx add exch showmark} def /showkey {showkeyline /offx 0 def showkeysymb pop pop} def % stringmark puts a symbol within a string /stringmark {4 2 roll dup neg 5 1 roll exch dup neg 6 1 roll exch % make inverse co-ordinates translate txtpath rotate % move to string pos dup stringwidth pop exch length txtspace mul add % lengtt of first string exch dup stringwidth pop exch length txtspace mul add % length of full string txtpos 0 get mul sub symbsiz add % X pos for mark - sub was add before!! fontsiz txtpos 1 get 0.4 exch sub mul showkey txtpath neg rotate translate} def %set a default font /Times-Roman findfont fontsiz scalefont setfont /mainfont /Times-Roman def % substr places the string foostr inside another string % scaled down by factor subscale /subfont mainfont def /subscale 0.8 def /substr {/cpath txtpath def 4 2 roll dup neg 5 1 roll exch dup neg 6 1 roll exch % make inverse co-ordinates translate txtpath rotate % move to string pos dup stringwidth pop exch length txtspace mul add % lengtt of first string exch dup stringwidth pop exch length txtspace mul add % length of full string txtpos 0 get mul sub subpos 0 get foostr stringwidth pop mul add % X pos for mark fontsiz txtpos 1 get 0.4 exch sub subpos 1 get add mul % Ypos /txtpath 0 def /txtpos [0. 0.4] def subfont findfont fontsiz subscale mul scalefont setfont foostr sprnt /txtpath cpath def txtpath neg rotate translate mainfont findfont fontsiz scalefont setfont} def G2PSbegin 18 36 translate 0.034965 0.034965 scale 0 0 translate % Graph number 1 982 14742 translate 6 setlinewidth solid setdash /linestyle {solid} def /linecolor {0.0 0.0 0.0} def 960 832 6080 832 960 832 960 761 2240 832 2240 761 3520 832 3520 761 4800 832 4800 761 6080 832 6080 761 6 dopairs 832 960 832 4362 832 960 761 960 832 2661 761 2661 832 4362 761 4362 4 dopairs % Data Set 1: 12 setlinewidth solid setdash /linestyle {solid} def /symbfil {colorfill} def /fillcolor {0.0 0.0 0.0} def /patternw 64 def /symbsiz 64 def /symbw 128 def /symbh 128 def /ori 0.00 def /showmark {pop pop} def gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -320 960 -294 960 -268 956 -243 965 -217 974 -192 983 -166 995 -140 1009 -115 1025 -89 1043 -64 1064 -38 1086 -12 1110 12 1136 38 1164 64 1193 89 1224 115 1256 140 1307 166 1350 192 1387 217 1425 243 1464 268 1504 294 1545 320 1586 345 1658 371 1701 396 1744 422 1788 448 1833 473 1908 499 1953 524 1998 550 2043 576 2088 601 2164 627 2208 652 2253 678 2319 704 2372 729 2415 755 2458 780 2530 806 2572 832 2614 857 2675 883 2723 908 2763 934 2802 960 2867 985 2904 1011 2967 1036 3002 1062 3038 1088 3086 1113 3130 1139 3172 1164 3217 1190 3248 1216 3278 1241 3328 1267 3357 1292 3404 1318 3431 1344 3473 1369 3500 1395 3537 1420 3565 1446 3597 1472 3626 1497 3653 1523 3682 1548 3705 1574 3734 1600 3754 1625 3782 1651 3798 1676 3826 1702 3841 1728 3866 1753 3880 1779 3902 1804 3915 1830 3935 1856 3947 1881 3964 1907 3982 1932 3992 1958 4008 1984 4016 2009 4030 2035 4042 2060 4049 2086 4060 2112 4066 2137 4076 2163 4084 2188 4088 2214 4096 2240 4100 2265 4106 2291 4110 2316 4113 2342 4117 2368 4119 2393 4122 2419 4124 2444 4124 2470 4126 2496 4126 2521 4126 2547 4125 2572 4125 2598 4123 2624 4121 2649 4120 2675 4117 2700 4114 2726 4112 2752 4108 2777 4104 2803 4101 2828 4095 2854 4090 2880 4086 2905 4080 2931 4074 2956 4071 2982 4064 3008 4056 3033 4051 3059 4045 3084 4036 3110 4032 3136 4024 3161 4015 3187 4008 3212 4002 3238 3992 3264 3982 3289 3977 3315 3968 3340 3958 3366 3950 3392 3944 3417 3932 3443 3921 3468 3916 3494 3906 3520 3895 3545 3886 3571 3880 3596 3868 3622 3856 3648 3846 3673 3840 3699 3829 3724 3816 3750 3809 3776 3801 3801 3788 3827 3776 3852 3768 3878 3760 3904 3748 3929 3736 3955 3726 3980 3720 4006 3707 4032 3695 4057 3684 4083 3677 4108 3666 4134 3654 4160 3641 4185 3631 4211 3624 4236 3613 4262 3600 4288 3589 4313 3583 4339 3572 4364 3560 4390 3548 4416 3537 4441 3531 4467 3520 4492 3508 4518 3496 4544 3486 4569 3480 4595 3468 4620 3456 4646 3444 4672 3433 4697 3425 4723 3418 4748 3406 4774 3394 4800 3383 201 doline 4800 3383 4825 3372 4851 3366 4876 3356 4902 3345 4928 3334 4953 3322 4979 3314 5004 3308 5030 3297 5056 3286 5081 3275 5107 3264 5132 3254 5158 3249 5184 3239 5209 3229 5235 3218 5260 3208 5286 3197 5312 3192 5337 3184 5363 3174 5388 3163 5414 3153 5440 3143 5465 3133 5491 3128 5516 3120 5542 3110 5568 3100 5593 3091 5619 3081 5644 3072 5670 3063 5696 3058 5721 3050 5747 3040 5772 3031 5798 3022 5824 3013 5849 3004 5875 2997 5900 2992 5926 2983 5952 2974 5977 2966 6003 2957 6028 2948 6054 2940 6080 2932 51 doline grestore % end of clipping % No data in this line % No data in this line % No data in this line % No data in this line /fontsiz 457 def /spacesiz 30 def /fontsiz 457 def /spacesiz 30 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtpath 90 def /txtspace 38 def /txtpos [0.50 0.00] def -346 2740 (Bias \(cm\)) sprnt /txtpath 0 def /txtpos [0.50 0.50] def 3659 -129 (Time \(s\)) sprnt /txtpos [0.00 0.00] def /fontsiz 343 def /spacesiz 22 def /fontsiz 343 def /spacesiz 22 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 28 def /txtpos [0.50 1.00] def 960 697 (0.5) sprnt 2240 697 (1.0) sprnt 3520 697 (1.5) sprnt 4800 697 (2.0) sprnt 6080 697 (2.5) sprnt /txtpos [1.00 0.35] def 697 960 (0.0) sprnt 697 2661 (0.5) sprnt 697 4362 (1.0) sprnt /fontsiz 457 def /spacesiz 30 def /fontsiz 457 def /spacesiz 30 def /mainfont /Times-Italic def mainfont findfont fontsiz scalefont setfont /txtspace 38 def /txtpos [0.50 1.00] def -473 5242 (b) sprnt 7617 5242 (d) sprnt -473 -241 (c) sprnt 7617 -241 (e) sprnt % Graph number 2 0 -5732 translate 6 setlinewidth solid setdash /linestyle {solid} def 960 832 6080 832 960 832 960 761 2240 832 2240 761 3520 832 3520 761 4800 832 4800 761 6080 832 6080 761 6 dopairs 832 960 832 4362 832 960 761 960 832 2094 761 2094 832 3228 761 3228 832 4362 761 4362 5 dopairs % Data Set 1: 12 setlinewidth solid setdash /linestyle {solid} def gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -284 -1255 -266 -1202 -230 -1096 -194 -991 -158 -886 -122 -782 -87 -678 -51 -574 -15 -471 20 -369 56 -268 92 -168 128 -69 146 -20 181 76 217 172 253 266 289 359 325 450 343 495 378 584 414 670 450 755 468 797 504 880 540 960 576 1038 594 1076 629 1152 665 1225 683 1261 719 1332 755 1400 773 1433 808 1498 844 1562 862 1592 898 1652 934 1711 952 1739 988 1794 1006 1821 1042 1874 1077 1924 1095 1948 1131 1996 1149 2019 1185 2064 1221 2108 1239 2128 1274 2169 1292 2189 1328 2227 1346 2246 1382 2282 1400 2299 1436 2333 1454 2350 1490 2381 1508 2396 1543 2426 1561 2440 1597 2468 1615 2482 1651 2508 1669 2520 1704 2544 1722 2556 1758 2578 1776 2590 1812 2610 1830 2621 1866 2640 1884 2650 1902 2659 1938 2677 1956 2685 1991 2702 2009 2710 2027 2718 2063 2733 2081 2740 2117 2754 2135 2761 2152 2767 2188 2780 2206 2786 2242 2798 2260 2804 2278 2809 2314 2820 2332 2825 2368 2834 2386 2839 2404 2844 2439 2853 2457 2857 2475 2861 2511 2869 2529 2873 2547 2877 2583 2884 2600 2888 2618 2891 2654 2898 2672 2901 2690 2904 2726 2910 2744 2912 2762 2915 2798 2920 2816 2923 2834 2926 2852 2928 2887 2932 2905 2935 2923 2937 2959 2941 2977 2943 2995 2945 3013 2947 3048 2951 3066 2952 3084 2954 3120 2958 3138 2959 3156 2960 3174 2962 3210 2965 3228 2966 3246 2968 3264 2969 3300 2972 3317 2973 3335 2974 3353 2975 3389 2977 3407 2978 3425 2979 3443 2980 3479 2982 3496 2983 3514 2984 3532 2985 3568 2987 3586 2988 3604 2988 3622 2989 3640 2990 3676 2991 3694 2992 3712 2992 3730 2993 3765 2994 3783 2995 3801 2996 3819 2996 3837 2997 3873 2998 3891 2998 3909 2999 3927 2999 3944 3000 3980 3001 3998 3001 4016 3002 4034 3002 4052 3002 4088 3003 4106 3003 4124 3004 4142 3004 4160 3004 4178 3005 4213 3005 4231 3006 4249 3006 4267 3006 4285 3006 4321 3007 4339 3007 4357 3008 4375 3008 4392 3008 4410 3008 4446 3009 4464 3009 4482 3009 4500 3009 4518 3010 4536 3010 4572 3010 4590 3010 4608 3010 4626 3010 4644 3011 4661 3011 4679 3011 4715 3011 4733 3012 4751 3012 201 doline 4751 3012 4769 3012 4787 3012 4805 3012 4823 3012 4858 3012 4876 3012 4894 3012 4912 3013 4930 3013 4948 3013 4966 3013 5002 3013 5020 3013 5038 3013 5056 3013 5074 3014 5092 3014 5109 3014 5127 3014 5163 3014 5181 3014 5199 3014 5217 3014 5235 3014 5253 3014 5271 3014 5288 3014 5324 3014 5342 3014 5360 3014 5378 3014 5396 3014 5414 3014 5432 3015 5450 3015 5468 3015 5504 3015 5522 3015 5540 3015 5557 3015 5575 3015 5593 3015 5611 3015 5629 3015 5647 3015 5665 3015 5701 3015 5719 3015 5736 3015 5754 3015 5772 3015 5790 3015 5808 3015 5826 3015 5844 3015 5862 3015 5898 3016 5916 3016 5934 3016 5952 3016 5970 3016 5988 3016 6005 3016 6023 3016 6041 3016 6059 3016 6077 3016 6113 3016 6131 3016 6149 3016 6167 3016 6184 3016 6202 3016 6220 3016 6238 3016 6256 3016 6274 3016 6292 3016 6310 3016 6346 3016 6364 3016 6382 3016 6400 3016 6418 3016 6436 3016 6453 3016 6471 3016 6489 3016 6507 3016 6525 3016 6543 3016 6561 3016 6597 3016 6615 3016 6632 3016 6650 3016 6668 3016 6686 3016 6704 3016 100 doline grestore % end of clipping % No data in this line % No data in this line % No data in this line % No data in this line /fontsiz 457 def /spacesiz 30 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtpos [0.50 0.50] def 3735 -96 (Time \(s\)) sprnt /txtpos [0.00 0.00] def /fontsiz 343 def /spacesiz 22 def /fontsiz 343 def /spacesiz 22 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 28 def /txtpos [0.50 1.00] def 960 697 (0.5) sprnt 2240 697 (1.0) sprnt 3520 697 (1.5) sprnt 4800 697 (2.0) sprnt 6080 697 (2.5) sprnt /txtpos [1.00 0.35] def 697 960 (1.0) sprnt 697 2094 (1.5) sprnt 697 3228 (2.0) sprnt 697 4362 (2.5) sprnt % Graph number 3 8028 5733 translate 6 setlinewidth solid setdash /linestyle {solid} def 960 832 6080 832 960 832 960 761 2240 832 2240 761 3520 832 3520 761 4800 832 4800 761 6080 832 6080 761 6 dopairs 832 960 832 4362 832 960 761 960 832 1810 761 1810 832 2661 761 2661 832 3511 761 3511 832 4362 761 4362 6 dopairs % Data Set 1: 41 setlinewidth dotted setdash /linestyle {dotted} def 12 setlinewidth solid setdash /linestyle {solid} def gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line 41 setlinewidth solid setdash /linestyle {solid} def 41 setlinewidth dotted setdash /linestyle {dotted} def % Draw data line newpath -320 2661 -294 2661 -268 2660 -243 2662 -217 2663 -192 2664 -166 2666 -140 2667 -115 2670 -89 2672 -64 2675 -38 2678 -12 2681 12 2684 38 2688 64 2692 89 2696 115 2700 140 2707 166 2713 192 2718 217 2723 243 2728 268 2733 294 2739 320 2744 345 2754 371 2760 396 2766 422 2771 448 2777 473 2787 499 2793 524 2799 550 2805 576 2811 601 2821 627 2827 652 2833 678 2842 704 2849 729 2855 755 2860 780 2870 806 2876 832 2881 857 2890 883 2896 908 2901 934 2906 960 2915 985 2920 1011 2928 1036 2933 1062 2938 1088 2944 1113 2950 1139 2956 1164 2962 1190 2966 1216 2970 1241 2977 1267 2980 1292 2987 1318 2990 1344 2996 1369 3000 1395 3004 1420 3008 1446 3012 1472 3016 1497 3020 1523 3024 1548 3027 1574 3031 1600 3033 1625 3037 1651 3039 1676 3043 1702 3045 1728 3048 1753 3050 1779 3053 1804 3055 1830 3058 1856 3059 1881 3062 1907 3064 1932 3065 1958 3067 1984 3068 2009 3070 2035 3072 2060 3073 2086 3074 2112 3075 2137 3076 2163 3077 2188 3078 2214 3079 2240 3080 2265 3080 2291 3081 2316 3081 2342 3082 2368 3082 2393 3082 2419 3083 2444 3083 2470 3083 2496 3083 2521 3083 2547 3083 2572 3083 2598 3083 2624 3082 2649 3082 2675 3082 2700 3081 2726 3081 2752 3080 2777 3080 2803 3080 2828 3079 2854 3078 2880 3078 2905 3077 2931 3076 2956 3076 2982 3075 3008 3074 3033 3073 3059 3072 3084 3071 3110 3070 3136 3070 3161 3068 3187 3067 3212 3066 3238 3065 3264 3064 3289 3063 3315 3062 3340 3060 3366 3060 3392 3059 3417 3057 3443 3056 3468 3055 3494 3054 3520 3052 3545 3051 3571 3050 3596 3048 3622 3047 3648 3046 3673 3045 3699 3043 3724 3042 3750 3041 3776 3040 3801 3038 3827 3036 3852 3035 3878 3034 3904 3032 3929 3031 3955 3030 3980 3029 4006 3027 4032 3026 4057 3024 4083 3023 4108 3022 4134 3020 4160 3018 4185 3017 4211 3016 4236 3014 4262 3013 4288 3011 4313 3010 4339 3009 4364 3008 4390 3006 4416 3004 4441 3004 4467 3002 4492 3000 4518 2999 4544 2998 4569 2997 4595 2995 4620 2994 4646 2992 4672 2990 4697 2990 4723 2988 4748 2987 4774 2986 4800 2984 201 doline 4800 2984 4825 2982 4851 2982 4876 2980 4902 2979 4928 2977 4953 2976 4979 2975 5004 2974 5030 2972 5056 2971 5081 2970 5107 2968 5132 2967 5158 2966 5184 2965 5209 2963 5235 2962 5260 2960 5286 2959 5312 2958 5337 2957 5363 2956 5388 2955 5414 2953 5440 2952 5465 2950 5491 2950 5516 2949 5542 2948 5568 2946 5593 2945 5619 2944 5644 2942 5670 2941 5696 2941 5721 2940 5747 2938 5772 2937 5798 2936 5824 2934 5849 2933 5875 2932 5900 2932 5926 2930 5952 2930 5977 2928 6003 2927 6028 2926 6054 2925 6080 2924 51 doline grestore % end of clipping % Data Set 2: 12 setlinewidth solid setdash /linestyle {solid} def gsave newpath 832 832 moveto 832 4362 lineto 6080 4362 lineto 6080 832 lineto closepath clip newpath % Draw error Bars with solid line % Draw data line newpath -320 2661 -294 2661 -268 2661 -243 2660 -217 2660 -192 2659 -166 2658 -140 2658 -115 2656 -89 2655 -64 2654 -38 2652 -12 2651 12 2649 38 2647 64 2645 89 2643 115 2641 140 2638 166 2635 192 2632 217 2630 243 2627 268 2624 294 2622 320 2619 345 2614 371 2611 396 2608 422 2606 448 2602 473 2598 499 2594 524 2592 550 2588 576 2586 601 2580 627 2578 652 2574 678 2570 704 2567 729 2564 755 2561 780 2556 806 2553 832 2550 857 2546 883 2543 908 2540 934 2538 960 2534 985 2531 1011 2527 1036 2525 1062 2522 1088 2519 1113 2516 1139 2513 1164 2510 1190 2508 1216 2506 1241 2503 1267 2501 1292 2498 1318 2496 1344 2493 1369 2492 1395 2489 1420 2487 1446 2485 1472 2483 1497 2481 1523 2479 1548 2478 1574 2476 1600 2474 1625 2473 1651 2472 1676 2470 1702 2469 1728 2467 1753 2466 1779 2465 1804 2464 1830 2462 1856 2462 1881 2460 1907 2459 1932 2459 1958 2458 1984 2457 2009 2456 2035 2455 2060 2455 2086 2454 2112 2454 2137 2453 2163 2452 2188 2452 2214 2452 2240 2452 2265 2451 2291 2451 2316 2450 2342 2450 2368 2450 2393 2450 2419 2450 2444 2450 2470 2450 2496 2450 2521 2450 2547 2450 2572 2450 2598 2450 2624 2450 2649 2450 2675 2450 2700 2450 2726 2451 2752 2451 2777 2451 2803 2451 2828 2452 2854 2452 2880 2452 2905 2453 2931 2453 2956 2453 2982 2454 3008 2454 3033 2455 3059 2455 3084 2456 3110 2456 3136 2456 3161 2457 3187 2458 3212 2458 3238 2459 3264 2459 3289 2460 3315 2460 3340 2461 3366 2462 3392 2462 3417 2463 3443 2463 3468 2464 3494 2464 3520 2465 3545 2466 3571 2466 3596 2467 3622 2468 3648 2468 3673 2469 3699 2470 3724 2470 3750 2471 3776 2471 3801 2472 3827 2473 3852 2474 3878 2474 3904 2475 3929 2476 3955 2476 3980 2477 4006 2478 4032 2478 4057 2479 4083 2480 4108 2480 4134 2481 4160 2482 4185 2483 4211 2483 4236 2484 4262 2485 4288 2486 4313 2486 4339 2487 4364 2488 4390 2488 4416 2489 4441 2489 4467 2490 4492 2491 4518 2492 4544 2492 4569 2493 4595 2494 4620 2494 4646 2495 4672 2496 4697 2496 4723 2497 4748 2498 4774 2498 4800 2499 201 doline 4800 2499 4825 2500 4851 2500 4876 2501 4902 2502 4928 2502 4953 2503 4979 2504 5004 2504 5030 2505 5056 2506 5081 2506 5107 2507 5132 2508 5158 2508 5184 2509 5209 2510 5235 2510 5260 2511 5286 2512 5312 2512 5337 2512 5363 2513 5388 2514 5414 2514 5440 2515 5465 2516 5491 2516 5516 2517 5542 2518 5568 2518 5593 2519 5619 2519 5644 2520 5670 2520 5696 2521 5721 2522 5747 2522 5772 2523 5798 2523 5824 2524 5849 2524 5875 2525 5900 2525 5926 2526 5952 2526 5977 2527 6003 2528 6028 2528 6054 2529 6080 2529 51 doline grestore % end of clipping 32 setlinewidth solid setdash /linestyle {solid} def /fillcolor {0.0 0.0 0.0} def /patternw 144 def /symbsiz 144 def /symbw 288 def /symbh 288 def /ori 90.00 def /showmark {plotsymb} def /symbary [0 191 -288 -144 0 288 288 -144] def % Triangle /fillcolor {1.0 1.0 1.0} def -460 1409 1 {showmark} repeat /fillcolor {1.0 1.0 1.0} def /patternw 144 def /symbsiz 146 def /symbw 292 def /symbh 288 def /ori 90.00 def /showmark {plotsymb} def /symbary [0 191 -288 -146 0 292 288 -146] def % Triangle /fillcolor {1.0 1.0 1.0} def -474 -4941 1 {showmark} repeat 25 setlinewidth dashed setdash /linestyle {dashed} def /fillcolor {1.0 1.0 1.0} def newpath 960 2661 6080 2661 2 doline /fontsiz 457 def /spacesiz 30 def /fontsiz 457 def /spacesiz 30 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtpath 90 def /txtspace 38 def /txtpos [0.50 0.00] def -329 2789 (Bias \(cm\)) sprnt /txtpath 0 def /txtpos [0.50 0.50] def 3616 -138 (Time \(s\)) sprnt /txtpos [0.00 0.00] def /fontsiz 343 def /spacesiz 22 def /fontsiz 343 def /spacesiz 22 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 28 def /txtpos [0.50 1.00] def 960 697 (0.5) sprnt 2240 697 (1.0) sprnt 3520 697 (1.5) sprnt 4800 697 (2.0) sprnt 6080 697 (2.5) sprnt /txtpos [1.00 0.35] def 697 960 (-1.0) sprnt 697 1810 (-0.5) sprnt 697 2661 (0.0) sprnt 697 3511 (0.5) sprnt 697 4362 (1.0) sprnt solid setdash % Graph number 4 0 -5733 translate 6 setlinewidth solid setdash /linestyle {solid} def 960 832 6080 832 960 832 960 761 2240 832 2240 761 3520 832 3520 761 4800 832 4800 761 6080 832 6080 761 6 dopairs 832 960 832 4429 832 960 761 960 832 1827 761 1827 832 2694 761 2694 832 3561 761 3561 832 4429 761 4429 6 dopairs % No data in this line % No data in this line % No data in this line % No data in this line % No data in this line % No data in this line 25 setlinewidth solid setdash /linestyle {solid} def /fillcolor {0.0 0.0 0.0} def /fillcolor {0.0 0.0 0.0} def newpath 960 2694 6080 2694 2 doline /fontsiz 457 def /spacesiz 30 def /fontsiz 457 def /spacesiz 30 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtpath 90 def /txtspace 38 def /txtpos [0.50 0.00] def /subfont mainfont def /foostr (2) def /subpos [0.00 0.50] def /subscale 0.65 def -330 2806 (Variance \(cm \)) (Variance \(cm) substr /txtpos [0.50 0.00] def -330 2806 (Variance \(cm \)) sprnt /txtpath 0 def /txtpos [0.50 1.00] def 3649 111 (Time \(s\)) sprnt /txtpos [0.00 0.00] def /fontsiz 343 def /spacesiz 22 def /fontsiz 343 def /spacesiz 22 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtspace 28 def /txtpos [0.50 1.00] def 960 697 (0.5) sprnt 2240 697 (1.0) sprnt 3520 697 (1.5) sprnt 4800 697 (2.0) sprnt 6080 697 (2.5) sprnt /txtpos [1.00 0.35] def 697 960 (-1.0) sprnt 697 1827 (-0.5) sprnt 697 2694 (0.0) sprnt 697 3561 (0.5) sprnt 697 4429 (1.0) sprnt /fontsiz 457 def /spacesiz 30 def /fontsiz 457 def /spacesiz 30 def /mainfont /Helvetica def mainfont findfont fontsiz scalefont setfont /txtpath 90 def /txtspace 38 def /txtpos [0.50 0.00] def /subfont mainfont def /foostr (2) def /subpos [0.00 0.50] def /subscale 0.65 def -8294 2806 (Variance \(cm \)) (Variance \(cm) substr /txtpos [0.50 0.00] def -8294 2806 (Variance \(cm \)) sprnt -9010 -9010 translate 0 0 translate 28.600028 28.600028 scale -18 -36 translate showpage %%EndDocument endTexFig 224 1754 a Fk(Figure)19 b(6:)26 b(a\))18 b(The)h(Kalman)g(\014lter)g (mo)q(del)h(comprises)f(t)o(w)o(o)e(pro)q(cesses.)31 b(The)224 1815 y(\014rst)16 b(\(upp)q(er)g(part\))f(sim)o(ulates)h(the) g(arm's)f(dynamics)i(using)f(the)g(motor)f(com-)224 1877 y(mand)21 b(and)g(the)h(curren)o(t)e(state)h(estimate)g(to)f(predict)i (the)f(next)g(state)f(esti-)224 1938 y(mate.)f(The)d(second)f(pro)q (cess)g(\(lo)o(w)o(er)g(part\))f(uses)h(the)g(di\013erence)h(b)q(et)o (w)o(een)g(ex-)224 1999 y(p)q(ected)g(and)e(actual)h(sensory)f(feedbac) o(k)h(to)f(correct)g(the)h(forw)o(ard)e(mo)q(del)j(state)224 2060 y(estimate.)35 b(The)21 b(relativ)o(e)g(w)o(eigh)o(ting)f(of)g (these)h(t)o(w)o(o)e(pro)q(cesses)h(is)h(mediated)224 2121 y(through)16 b(the)g(Kalman)g(gain.)22 b(b{e\))15 b(Sim)o(ulated)i(bias)g(and)f(v)m(ariance)g(propaga-)224 2182 y(tion)e(from)g(the)g(Kalman)g(\014lter)h(mo)q(del)g(of)f(the)g (sensorimotor)f(in)o(tegration)h(pro-)224 2243 y(cess,)g(in)g(the)f (same)g(represen)o(tation)g(and)h(scale)f(as)g(Figure)h(5)f(\(b{e\))o (.)19 b(Reprin)o(ted)224 2305 y(with)d(p)q(ermission)g(from)f(W)l(olp)q (ert,)g(Ghahramani)g(and)g(Jordan)h(\(1995b\).)p eop %%Page: 25 25 25 24 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(25)224 286 y(mo)q(del)14 b(with)f(sensory)g(feedbac)o(k,)g(suc)o(h)g(as)g (those)f(based)h(purely)h(on)f(sensory)g(in-)224 348 y(\015o)o(w)f(or)g(on)h(motor)e(out\015o)o(w,)h(are)h(unable)g(to)f (repro)q(duce)i(the)f(observ)o(ed)f(pattern)224 409 y(of)17 b(bias)h(and)f(v)m(ariance)h(propagation.)25 b(The)18 b(abilit)o(y)g(of)f(the)g(Kalman)h(\014lter)f(to)224 470 y(parsimoniously)12 b(mo)q(del)g(this)f(data)f(suggests)g(that)g (the)h(pro)q(cesses)g(em)o(b)q(o)q(died)h(in)224 531 y(the)g(\014lter,)h(namely)f(in)o(ternal)h(sim)o(ulation)g(through)f(a) f(forw)o(ard)g(mo)q(del)i(together)224 592 y(with)j(sensory)f (correction,)g(are)g(lik)o(ely)i(to)d(b)q(e)i(em)o(b)q(o)q(died)h(in)f (the)g(sensorimotor)224 653 y(in)o(tegration)f(pro)q(cess.)224 803 y Fl(5)67 b(Relev)l(ance)23 b(to)f(Neuroph)n(ysiology)224 909 y Fk(One)14 b(candidate)f(for)f(the)h(neural)h(system)e(subserving) i(b)q(oth)f(the)g(in)o(tegration)f(of)224 970 y(visual)k(and)e (auditory)g(inputs)i(and)e(the)h(pro)q(duction)g(of)f(orien)o(ting)h (mo)o(v)o(emen)o(ts)224 1031 y(to)21 b(suc)o(h)i(inputs)g(is)f(the)g (sup)q(erior)h(colliculus)i(\(SC\).)c(The)h(sup)q(erior)g(collicu-)224 1092 y(lus,)16 b(and)f(its)h(non-mammalian)f(homologue,)g(the)h(optic)f (tectum,)g(is)h(a)f(la)o(y)o(ered)224 1153 y(midbrain)h(structure)f(in) g(whic)o(h)h(the)e(sup)q(er\014cial)j(la)o(y)o(ers)e(receiv)o(e)g (visual)h(inputs)224 1215 y(b)q(oth)22 b(directly)g(from)f(the)g (retina)h(and)g(from)e(visual)j(cortex,)f(and)f(the)h(deep)224 1276 y(la)o(y)o(ers)g(receiv)o(e)h(visual,)i(somatosensory)l(,)d (auditory)g(and)g(motor-related)g(in-)224 1337 y(puts)10 b(\(Wic)o(k)o(elgren)h(1971,)e(Harris)h(et)g(al.)g(1980,)f(Stein)i(&)f (Meredith)h(1993\).)17 b(Ov)o(er)224 1398 y(50\045)12 b(of)g(neurons)g(in)h(the)g(deep)g(la)o(y)o(er)f(are)g(m)o (ulti-sensory)l(,)h(with)g(visuo-auditory)224 1459 y(b)q(eing)k(the)f (most)f(common)g(com)o(bination)h(\(30\045)f(of)g(total;)g(Stein)h(&)g (Meredith)224 1520 y(1993\).)j(It)c(is)h(imp)q(ortan)o(t)f(to)f(note)h (that)g(m)o(ultisensory)h(con)o(v)o(ergence)f(seems)g(to)224 1581 y(tak)o(e)k(place)i(at)e(the)h(deep)h(la)o(y)o(er)f(neuron)g (itself,)i(most)d(of)g(whose)h(inputs)h(are)224 1643 y(unimo)q(dal)e(\(Wic)o(k)o(elgren)g(&)f(Sterling)g(1969\).)26 b(The)18 b(outputs)g(of)f(the)h(sup)q(erior)224 1704 y(colliculus)g(pro)s(ject)13 b(to)h(brain)h(stem)f(and)g(spinal)i(cord) f(areas)e(directly)j(in)o(v)o(olv)o(ed)224 1765 y(in)j(p)q(ositioning)h (the)f(p)q(eripheral)h(sense)f(organs,)e(pla)o(ying)i(an)g(imp)q(ortan) o(t)f(role)224 1826 y(in)e(orien)o(ting)h(the)e(ey)o(es,)g(head,)h(lim) o(bs)g(and,)g(in)g(sp)q(ecies)h(that)e(can)h(mo)o(v)o(e)e(them,)224 1887 y(ears)g(and)h(whisk)o(ers)g(\(Harris)f(et)g(al.)g(1980,)f(Sparks) i(&)g(Nelson)g(1987,)e(DuLac)i(&)224 1948 y(Kn)o(udsen)i(1990,)c (Guitton)i(&)h(Munoz)f(1991,)f(Stein)i(&)f(Meredith)h(1993\).)295 2009 y(Kn)o(udsen)11 b(and)f(colleagues)i(ha)o(v)o(e)d(extensiv)o(ely)j (studied)f(adaptation)f(to)g(visuo-)224 2071 y(motor)i(and)h (visuo-auditory)h(displacemen)o(ts)g(and)g(their)f(e\013ects)g(on)g (the)g(neural)224 2132 y(represen)o(tations)20 b(of)g(space)g(in)h(the) f(optic)g(tectum)g(of)f(the)h(barn)g(o)o(wl.)34 b(Their)224 2193 y(results)19 b(ha)o(v)o(e)e(sho)o(wn)h(that)g(prismatically)h(p)q (erturbing)h(visual)f(inputs,)g(while)224 2254 y(barely)e(mo)q(difying) g(visual)g(lo)q(calization,)h(induced)g(signi\014can)o(t)g(adaptation)d (of)224 2315 y(auditory)d(lo)q(calization)h(\(Kn)o(udsen)g(&)f(Kn)o (udsen)g(1989a,)e(Kn)o(udsen)j(&)f(Kn)o(udsen)p eop %%Page: 26 26 26 25 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(26)224 286 y(1989b\).)41 b(F)l(urthermore,)23 b(blind-reared)i(o)o(wls)d(dev)o (elop)q(ed)i(highly)g(abnormal)224 348 y(maps)13 b(of)g(auditory)g (space)h(in)g(the)f(optic)g(tectum)g(\(Kn)o(udsen)i(et)e(al.)g(1991\).) k(Our)224 409 y(\014ndings)c(are)f(consisten)o(t)f(with)h(these)g (results,)h(again)e(suggesting)h(that)f(the)h(reg-)224 470 y(istration)18 b(of)g(visual)h(and)g(auditory)f(maps)g(is)g (largely)h(determined)h(b)o(y)e(visual)224 531 y(exp)q(erience.)31 b(Recen)o(tly)l(,)20 b(it)f(has)f(b)q(een)h(found)g(that)e(adaptation)h (of)g(the)g(audi-)224 592 y(tory)f(map)h(in)h(the)f(optic)h(tectum)f (can)g(b)q(e)h(attributed)f(to)f(c)o(hanges)h(in)h(one)f(of)224 653 y(its)e(inputs,)g(the)g(inferior)h(colliculus)h(\(Brainard)e(&)g (Kn)o(udsen)h(1993\).)j(F)l(urther)224 714 y(researc)o(h)d(needs)i(to)d (b)q(e)j(done)e(to)g(determine)i(the)e(signal)i(driving)f(adaptation) 224 776 y(in)h(the)f(inferior)h(colliculus)i(\(cf.)c(the)h(mo)q(del)h (prop)q(osed)f(b)o(y)g(P)o(ouget,)f(De\013a)o(y)o(et)224 837 y(&)f(Sejno)o(wski)f(1995\).)295 898 y(Our)k(computational)h(mo)q (dels)g(and)g(exp)q(erimen)o(tal)g(results)g(suggest)f(that)224 959 y(sensory)f(inputs)h(in)f(an)g(area)f(suc)o(h)i(as)e(SC)h(ma)o(y)f (b)q(e)i(w)o(eigh)o(ted)f(b)o(y)f(a)h(measure)224 1020 y(of)i(their)g(reliabilit)o(y)l(.)37 b(The)20 b(reliabilit)o(y)i(of)e (a)f(sensory)h(input)h(m)o(ust)e(therefore)224 1081 y(someho)o(w)h(b)q (e)h(co)q(ded)g(neurally)l(,)i(along)d(with)h(the)f(input)i(itself.)36 b(One)21 b(p)q(ossi-)224 1142 y(bilit)o(y)g(is)e(that)f(the)h(\014ring) h(rate)e(of)g(a)h(neuron)g(in)h(the)f(spatial)h(map)e(could)i(b)q(e)224 1204 y(prop)q(ortional)d(to)f(that)g(neuron's)g(\\con\014dence")i(that) e(there)g(is)h(a)g(stim)o(ulus)g(in)224 1265 y(its)11 b(receptiv)o(e)h(\014eld.)20 b(Under)12 b(this)f(h)o(yp)q(othesis,)i (there)e(are)g(t)o(w)o(o)e(explanations)j(for)224 1326 y(the)17 b(\014nding)g(that)f(animals)h(often)f(orien)o(t)g(to)f(a)h (lo)q(cus)i(in)f(b)q(et)o(w)o(een)f(visual)i(and)224 1387 y(auditory)e(stim)o(uli)h(presen)o(ted)f(sim)o(ultaneously)h(at)e (di\013eren)o(t)h(lo)q(cations)g(\(Stein)224 1448 y(et)k(al.)h(1989\).) 33 b(First,)21 b(the)g(t)o(w)o(o)e(distinct)i(lo)q(ci)h(of)e(activit)o (y)g(ma)o(y)g(merge)g(in)o(to)224 1509 y(one)e(in)o(termediate)h(lo)q (cus)g(within)g(the)g(collicular)h(map.)28 b(Second,)20 b(the)e(actual)224 1570 y(in)o(tegration)i(of)f(signals)h(ma)o(y)e(o)q (ccur)i(at)f(a)g(later)g(motor)g(stage,)g(whose)g(units)224 1632 y(ha)o(v)o(e)14 b(large)h(receptiv)o(e)g(\014elds)h(in)g(the)e (collicular)j(map.)j(An)15 b(alternativ)o(e)f(to)g(this)224 1693 y(explicit)19 b(rate-co)q(ding)f(h)o(yp)q(othesis)f(for)g (reliabilit)o(y)i(of)e(sensory)f(inputs)i(is)g(that)224 1754 y(reliabilit)o(y)h(is)e(co)q(ded)g(implicitly)j(in)d(the)f(neural) i(arc)o(hitecture.)24 b(F)l(or)15 b(example,)224 1815 y(the)h(size)h(of)f(receptiv)o(e)h(\014elds)g(could)g(b)q(e)g(related)g (b)q(oth)f(to)f(the)h(v)m(ariance)h(in)g(lo-)224 1876 y(calization)g(and)e(to)g(the)g(rate)f(of)h(plasticit)o(y)l(.)21 b(\(Note)15 b(also)g(that)g(receptiv)o(e)h(\014elds)224 1937 y(are)f(larger)f(in)i(the)f(p)q(eriphery)l(,)h(where)f(w)o(e)f (found)i(greater)d(adaptation.\))19 b(More)224 1998 y(detailed)h (neuroph)o(ysiologically-based)h(mo)q(dels)e(of)e(the)i(colliculus)i (ma)o(y)c(pro-)224 2059 y(vide)h(links)g(b)q(et)o(w)o(een)f(the)g (computational,)g(psyc)o(hological)h(and)f(neural)h(lev)o(els)224 2121 y(of)d(understanding)h(the)g(problem)f(of)g(visuo-auditory)h(in)o (tegration.)295 2182 y(Finally)l(,)f(the)f(state)g(estimation)g (paradigm)g(w)o(e)g(used)h(in)f(the)h(study)f(of)f(sen-)224 2243 y(sorimotor)i(in)o(tegration)g(during)i(arm)e(mo)o(v)o(emen)o(ts)f (pro)o(vides)i(a)f(framew)o(ork)f(to)224 2304 y(study)g(in)o(tegration) g(pro)q(cess)g(in)h(b)q(oth)f(normal)g(and)h(patien)o(t)f(p)q (opulations.)20 b(F)l(or)224 2365 y(example,)14 b(the)f(sp)q(eci\014c)j (predictions)e(of)f(the)g(sensorimotor)g(in)o(tegration)g(mo)q(del)p eop %%Page: 27 27 27 26 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(27)224 286 y(can)12 b(b)q(e)h(tested)f(in)h(b)q(oth)f(patien)o(ts)g(with)g (sensory)g(neuropathies,)h(who)f(lac)o(k)g(pro-)224 348 y(prio)q(ceptiv)o(e)i(rea\013erence,)f(and)g(in)g(patien)o(ts)f(with)h (damage)f(to)g(the)h(cereb)q(ellum,)224 409 y(a)19 b(prop)q(osed)g (site)g(for)f(a)h(forw)o(ard)e(mo)q(del)j(\(Miall)g(et)e(al.)h(1993\).) 29 b(Here)19 b(again,)224 470 y(the)g(computational)g(mo)q(del)h(will)g (hop)q(efully)h(pro)o(vide)e(a)g(reference)g(p)q(oin)o(t)g(for)224 531 y(in)o(terpreting)d(new)g(b)q(eha)o(vioral)g(and)f(neurological)i (results.)224 680 y Fl(References)224 787 y Fk(Abidi,)c(M.)d(&)h (Gonzalez,)h(R.)f(\(1992\).)f Ff(Data)j(F)m(usion)e(In)h(R)n(ob)n (otics)f(and)h(Machine)320 848 y(Intel)r(ligenc)n(e)p Fk(,)g(Academic)17 b(Press,)d(San)i(Diego,)e(CA.)224 946 y(A)o(ttnea)o(v)o(e,)h(F.)g(\(1954\).)20 b(Some)c(informational)g (asp)q(ects)g(of)g(visual)h(p)q(erception,)320 1007 y Ff(Psych.)f(R)n(eview)f Fa(61)p Fk(:)g(183{193.)224 1106 y(Barlo)o(w,)e(H.)g(\(1961\).)j(Three)d(p)q(oin)o(ts)h(ab)q(out)f (lateral)h(inhibition,)i Ff(in)d Fk(W.)g(Rosen-)320 1167 y(blith)h(\(ed.\),)e Ff(Sensory)h(Communic)n(ation)p Fk(,)g(MIT)f(Press,)h(Cam)o(bridge,)f(MA,)320 1228 y(pp.)j(782{786.)224 1327 y(Bec)o(k)o(er,)g(S.)g(&)g(Hin)o(ton,)g(G.)g(\(1992\).)j(A)d (self-organizing)i(neural)e(net)o(w)o(ork)g(that)320 1388 y(disco)o(v)o(ers)k(surfaces)f(in)i(random-dot)e(stereograms,)f Ff(Natur)n(e)i Fa(355)p Fk(:)g(161{)320 1449 y(163.)224 1547 y(Bennett,)e(B.)f(M.,)g(Ho\013man,)f(D.)h(D.)g(&)g(Prak)m(ash,)h (C.)e(\(1989\).)22 b Ff(Observer)17 b(Me-)320 1609 y(chanics)p Fk(,)d(Academic)j(Press,)d(San)i(Diego.)224 1707 y(Brainard,)c(M.)e(&)h (Kn)o(udsen,)h(E.)e(\(1993\).)h(Exp)q(erience-dep)q(end)q(en)o(t)i (plasticit)o(y)f(in)320 1768 y(the)f(inferior)h(colliculus:)20 b(A)11 b(site)h(for)e(the)h(visual)h(calibration)g(of)e(the)h(neural) 320 1829 y(represen)o(tation)k(of)g(auditory)g(space)g(in)h(the)g(barn) f(o)o(wl,)f Ff(J.)i(Neur)n(oscienc)n(e)320 1890 y Fa(13)p Fk(\(11\):)e(4589{4608.)224 1989 y(Co)o(v)o(er,)23 b(T.)f(&)h(Thomas,)h (J.)f(\(1991\).)40 b Ff(Elements)22 b(of)h(Information)g(Theory)p Fk(,)320 2050 y(Wiley)l(,)16 b(New)g(Y)l(ork.)224 2149 y(DuLac,)11 b(S.)g(&)f(Kn)o(udsen,)j(E.)d(\(1990\).)g(Neural)h(maps)f (of)g(head)h(mo)o(v)o(emen)o(t)f(v)o(ector)320 2210 y(and)k(sp)q(eed)g (in)h(the)e(optic)h(tectum)f(of)g(the)h(barn)f(o)o(wl,)g Ff(J.)i(Neur)n(ophysiolo)n(gy)320 2271 y Fa(63)p Fk(\(1\):)f(131{146.)p eop %%Page: 28 28 28 27 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(28)224 286 y(Durran)o(t-Wh)o(yte,)11 b(H.)g(F.)g(\(1988.\).)h Ff(Inte)n(gr)n(ation,)g(c)n(o)n(or)n(dination,)h(and)g(c)n(ontr)n(ol)f (of)320 348 y(multi-sensor)j(r)n(ob)n(ot)h(systems)p Fk(,)d(Klu)o(w)o(er)h(Academic)i(Publishers,)g(Boston.)224 446 y(F)l(a)o(y)o(e,)22 b(I.)f(\(1986\).)37 b Ff(A)o(n)21 b(imp)n(e)n(denc)n(e)g(c)n(ontr)n(ol)r(le)n(d)f(manipulandum)j(for)f (human)320 507 y(movement)d(studies)p Fk(,)f(MS)g(Thesis,)i(MIT)e (Dept.)f(Mec)o(hanical)j(Engineer-)320 568 y(ing,)c(Cam)o(bridge,)e (MA.)224 666 y(Flash,)29 b(T.)c(&)i(Hogan,)h(N.)d(\(1985\).)51 b(The)26 b(co-ordination)h(of)f(arm)f(mo)o(v)o(e-)320 727 y(men)o(ts:)17 b(An)11 b(exp)q(erimen)o(tally)i(con\014rmed)e (mathematical)g(mo)q(del,)i Ff(J.)f(Neu-)320 788 y(r)n(oscienc)n(e)i Fa(5)p Fk(:)h(1688{1703.)224 886 y(Ghahramani,)24 b(Z.)d(\(1995\).)39 b Ff(Computation)24 b(and)f(Psychophysics)f(of)h(Senso-)320 947 y(rimotor)e(Inte)n(gr)n(ation)p Fk(,)e(Ph.D.)f(Thesis,)j(Dept.)d (of)h(Brain)h(and)f(Cogn)o(tiv)o(e)320 1008 y(Sciences,)d(Massac)o(h)o (usetts)c(Institute)j(of)e(T)l(ec)o(hnology)l(,)i(Cam)o(bridge,)e(MA.) 224 1106 y(Ghahramani,)19 b(Z.,)f(W)l(olp)q(ert,)h(D.)f(M.)g(&)h (Jordan,)g(M.)e(I.)i(\(1995\).)27 b(Computa-)320 1167 y(tional)12 b(principles)h(of)e(m)o(ultisensory)g(in)o(tegration:)18 b(Studies)12 b(of)e(adaptation)320 1229 y(to)i(no)o(v)o(el)h (visuo-auditory)g(remappings,)h Ff(So)n(ciety)f(F)m(or)h(Neur)n (oscienc)n(e)e(A)o(b-)320 1290 y(str)n(acts)j Fa(21)p Fk(\(1-3\):)f(1181.)224 1388 y(Gibson,)h(J.)h(J.)f(\(1961\).)j (Ecological)e(optics,)f Ff(Vision)g(R)n(ese)n(ar)n(ch)g Fa(1)p Fk(:)g(253{262.)224 1486 y(Go)q(o)q(dwin,)d(G.)e(&)h(Sin,)h(K.)f (\(1984\).)g Ff(A)n(daptive)h(\014ltering)f(pr)n(e)n(diction)h(and)g(c) n(ontr)n(ol)p Fk(,)320 1547 y(Pren)o(tice-Hall.)224 1645 y(Guitton,)18 b(D.)f(&)h(Munoz,)g(D.)f(\(1991\).)26 b(Con)o(trol)17 b(of)g(orien)o(ting)h(gaze)g(shifts)g(b)o(y)320 1706 y(the)h(tectoreticulospinal)i(system)e(in)h(the)f(head-free)g(cat.)f (I.)h(Iden)o(ti\014ca-)320 1767 y(tion,)14 b(lo)q(calization,)h(and)f (e\013ects)f(of)g(b)q(eha)o(vior)g(on)h(sensory)f(resp)q(onses)h(,)f Ff(J.)320 1828 y(Neur)n(ophysiolo)n(gy)i Fa(66)p Fk(:)g(1605{1623.)224 1926 y(Harris,)g(L.,)f(Blak)o(emore,)h(C.)f(&)h(Donagh)o(y)l(,)f(M.)g (\(1980\).)j(In)o(tegration)d(of)h(visual)320 1987 y(and)h(auditory)g (space)g(in)h(the)f(mammalian)g(sup)q(erior)h(colliculus,)i Ff(Natur)n(e)320 2049 y Fa(288)p Fk(:)c(56{59.)224 2146 y(Hastie,)d(T.)f(&)h(Tibshirani,)i(R.)e(\(1990\).)g Ff(Gener)n(alize)n (d)f(A)n(dditive)i(Mo)n(dels)p Fk(,)e(Chap-)320 2208 y(man)k(and)h(Hall,)f(London.)224 2306 y(Hertz,)h(J.,)f(Krogh,)h(A.)f (&)i(P)o(almer,)e(R.)h(\(1991\).)k Ff(Intr)n(o)n(duction)c(to)i(the)f (Theory)320 2367 y(of)g(Neur)n(al)f(Computation)p Fk(,)f(Addison-W)l (esley)l(,)i(Redw)o(o)q(o)q(d)f(Cit)o(y)l(,)f(CA.)p eop %%Page: 29 29 29 28 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(29)224 286 y(Hogan,)23 b(N.)e(\(1984\).)38 b(An)22 b(organizing)g(principle)j (for)c(a)h(class)g(of)f(v)o(olun)o(tary)320 348 y(mo)o(v)o(emen)o(ts,) 14 b Ff(J.)i(Neur)n(oscienc)n(e)e Fa(4)p Fk(:)h(2745{2754.)224 446 y(Ho)o(w)o(ard,)d(I.)h(P)l(.)g(&)g(T)l(empleton,)h(W.)e(B.)h (\(1966\).)h Ff(Human)h(Sp)n(atial)f(Orientation)p Fk(,)320 507 y(Wiley)l(,)i(New)g(Y)l(ork.)224 606 y(Ito,)d(M.)g(\(1984\).)j Ff(The)e(Cer)n(eb)n(el)r(lum)g(and)h(Neur)n(al)f(Contr)n(ol)p Fk(,)f(Ra)o(v)o(en)g(Press,)h(New)320 667 y(Y)l(ork.)224 765 y(Jordan,)g(M.)e(I.)i(\(1995\).)h(Computational)e(asp)q(ects)h(of)f (motor)f(con)o(trol)h(and)h(mo-)320 826 y(tor)d(learning,)j Ff(in)d Fk(H.)h(Heuer)g(&)g(S.)g(Keele)i(\(eds\),)e Ff(Handb)n(o)n(ok)g (of)i(Per)n(c)n(eption)320 888 y(and)i(A)n(ction:)k(Motor)d(Skil)r(ls)p Fk(,)d(Academic)i(Press,)e(New)i(Y)l(ork.)224 986 y(Jordan,)j(M.)e(I.)i (&)f(Rumelhart,)i(D.)d(\(1992\).)27 b(F)l(orw)o(ard)17 b(mo)q(dels:)27 b(Sup)q(ervised)320 1047 y(learning)16 b(with)g(a)f(distal)h(teac)o(her,)e Ff(Co)n(gnitive)h(Scienc)n(e)f Fa(16)p Fk(:)h(307{354.)224 1146 y(Kalman,)j(R.)f(&)h(Bucy)l(,)g(R.)f (S.)h(\(1961\).)24 b(New)17 b(results)h(in)g(linear)g(\014ltering)h (and)320 1207 y(prediction,)e Ff(Journal)f(of)g(Basic)g(Engine)n(ering) e(\(ASME\))g Fa(83D)p Fk(:)h(95{108.)224 1305 y(Ka)o(w)o(ato,)f(M.,)g (F)l(ura)o(w)o(ak)m(a,)g(K.)i(&)g(Suzuki,)h(R.)e(\(1987\).)k(A)d (hierarc)o(hical)h(neural)320 1367 y(net)o(w)o(ork)j(mo)q(del)i(for)e (the)h(con)o(trol)g(and)g(learning)h(of)f(v)o(olun)o(tary)f(mo)o(v)o (e-)320 1428 y(men)o(ts,)15 b Ff(Biolo)n(gic)n(al)g(Cyb)n(ernetics)e Fa(56)p Fk(:)i(1{17.)224 1526 y(Kn)o(udsen,)21 b(E.,)e(Esterly)l(,)h (S.)e(&)h(DuLac,)h(S.)f(\(1991\).)29 b(Stretc)o(hed)19 b(and)g(upside-)320 1587 y(do)o(wn)d(maps)g(of)g(auditory)h(space)f(in) h(the)g(optic)g(tectum)f(of)g(blind-reared)320 1648 y(o)o(wls;)24 b(Acoustic)e(basis)g(and)g(b)q(eha)o(vioral)g(correlates,)g Ff(J.)g(Neur)n(oscienc)n(e)320 1710 y Fa(11)p Fk(\(6\):)14 b(1727{1747.)224 1808 y(Kn)o(udsen,)j(E.)e(&)h(Kn)o(udsen,)h(P)l(.)e (\(1989a\).)20 b(Vision)c(calibrates)h(sound)f(lo)q(caliza-)320 1869 y(tion)g(in)g(dev)o(eloping)g(barn)g(o)o(wls,)e Ff(J.)i(Neur)n(oscienc)n(e)e Fa(9)p Fk(\(9\):)g(3306{3313.)224 1968 y(Kn)o(udsen,)21 b(E.)d(&)h(Kn)o(udsen,)h(P)l(.)f(\(1989b\).)28 b(Visuomotor)19 b(adaptation)f(to)g(dis-)320 2029 y(placing)26 b(prisms)f(b)o(y)f(adult)h(and)f(bab)o(y)g(barn)h(o)o(wls,)h Ff(J.)e(Neur)n(oscienc)n(e)320 2090 y Fa(9)p Fk(\(9\):)14 b(3297{3305.)224 2189 y(Linsk)o(er,)19 b(R.)e(\(1986\).)24 b(F)l(rom)17 b(basic)h(net)o(w)o(ork)e(principles)k(to)d(neural)h(arc)o (hitec-)320 2250 y(ture:)25 b(Emergence)18 b(of)g(orien)o(tation)g (selectiv)o(e)h(cells,)g Ff(Pr)n(o)n(c)n(e)n(e)n(dings)e(of)i(the)320 2311 y(National)d(A)n(c)n(ademy)g(of)g(Scienc)n(es)f(USA)f Fa(83)p Fk(:)h(8390{8394.)p eop %%Page: 30 30 30 29 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(30)224 286 y(Marr,)14 b(D.)g(\(1982\).)k Ff(Vision)p Fk(,)c(F)l(reeman,)h(New) g(Y)l(ork.)224 385 y(Miall,)e(R.,)e(W)l(eir,)g(D.,)g(W)l(olp)q(ert,)g (D.)f(M.)g(&)h(Stein,)h(J.)e(\(1993\).)h(Is)g(the)f(cereb)q(ellum)320 446 y(a)15 b(Smith)h(Predictor?,)f Ff(Journal)i(of)f(Motor)h(Behavior)f Fa(25\(3\))p Fk(:)f(203{216.)224 545 y(Middlebro)q(oks,)23 b(J.)e(C.)f(&)h(Green,)h(D.)e(M.)f(\(1991\).)35 b(Sound)21 b(lo)q(calization)i(b)o(y)320 606 y(h)o(uman)15 b(listeners,)h Ff(A)o(nn.)f(R)n(ev.)h(Psychol.)f Fa(42)p Fk(:)g(135{159.)224 704 y(Mills,)21 b(A.)d(W.)g(\(1958\).)28 b(On)19 b(the)g(minim)o(um)h (audible)g(angle,)g Ff(Journal)f(of)h(the)320 765 y(A)n(c)n(oustic)n (al)15 b(So)n(ciety)h(of)g(A)o(meric)n(a)f Fa(30)p Fk(:)g(237{246.)224 864 y(Nak)m(a)o(y)o(ama,)g(K.)h(&)h(Shimo)s(jo,)f(S.)g(\(1992\).)22 b(Exp)q(eriencing)c(and)f(p)q(erceiving)h(vi-)320 925 y(sual)e(surfaces,)f Ff(Scienc)n(e)e Fa(257)p Fk(:)i(1357{1363.)224 1023 y(Nelson,)j(W.)e(\(1983\).)24 b(Ph)o(ysical)18 b(principles)i(for) c(economies)i(of)e(skilled)j(mo)o(v)o(e-)320 1085 y(men)o(ts,)c Ff(Biolo)n(gic)n(al)g(Cyb)n(ernetics)e Fa(46)p Fk(:)i(135{147.)224 1183 y(P)o(ouget,)f(A.,)g(De\013a)o(y)o(et,)f(C.)h(&)h(Sejno)o(wski,)f (T.)g(\(1995\).)j(Reinforcemen)o(t)f(learn-)320 1244 y(ing)h(predicts)g(the)g(site)f(of)g(plasticit)o(y)i(for)d(auditory)i (r)f(remapping)h(in)g(the)320 1305 y(barn)d(o)o(wl,)g Ff(in)f Fk(G.)h(T)l(esauro,)f(D.)g(T)l(ouretzky)h(&)g(T.)g(Leen)h (\(eds\),)e Ff(A)n(dvanc)n(es)320 1367 y(in)21 b(Neur)n(al)h (Information)f(Pr)n(o)n(c)n(essing)e(Systems)h(7)p Fk(,)j(MIT)e(Press,) g(Cam-)320 1428 y(bridge,)16 b(MA.)224 1526 y(Ric)o(hards,)21 b(W.)e(\(1988\).)31 b Ff(Natur)n(al)21 b(Computation)p Fk(,)g(MIT)e(Press,)h(Cam)o(bridge,)320 1587 y(MA.)224 1686 y(Rumelhart,)13 b(D.)f(&)g(McClelland,)i(J.)e(\(1986\).)h Ff(Par)n(al)r(lel)g(distribute)n(d)g(pr)n(o)n(c)n(essing)p Fk(,)320 1747 y(MIT)i(press,)g(Cam)o(bridge,)g(Mass.)224 1845 y(Shannon,)20 b(C.)e(\(1948\).)29 b(A)19 b(mathematical)g(theory)f (of)g(comm)o(unication,)i Ff(Bel)r(l)320 1907 y(Systems)15 b(T)m(e)n(chnic)n(al)f(Journal)i Fa(27)p Fk(:)f(379{423,623)o({656)o(.) 224 2005 y(So)q(ec)o(h)o(ting,)h(J.)f(&)g(Flanders,)h(M.)e(\(1989\).)k (Sensorimotor)d(represen)o(tations)g(for)320 2066 y(p)q(oin)o(ting)f (to)e(targets)g(in)i(three-dimensional)h(space,)e Ff(J.)h(Neur)n (ophysiolo)n(gy)320 2127 y Fa(62)p Fk(:)h(582{594.)224 2226 y(Sparks,)g(D.)f(&)h(Nelson,)g(J.)g(\(1987\).)i(Sensory)e(and)g (motor)e(maps)i(in)g(the)g(mam-)320 2287 y(malian)d(sup)q(erior)g (colliculus,)j Ff(T)m(r)n(ends)10 b(in)i(Neur)n(oscienc)n(e)e Fa(10)p Fk(\(8\):)g(312{317.)p eop %%Page: 31 31 31 30 bop 224 137 a Fh(Ghahramani)15 b Fk(et)g(al.)429 b Fh(Sensorimotor)14 b(In)o(tegration)60 b Fk(31)224 286 y(Stein,)23 b(B.)d(&)h(Meredith,)h(M.)d(\(1993\).)34 b Ff(The)21 b(Mer)n(ging)f(of)h(the)g(Senses)p Fk(,)f(MIT)320 348 y(Press,)15 b(Cam)o(bridge,)g(MA.)224 446 y(Stein,)h(B.,)e (Meredith,)h(M.,)f(Honeycutt,)g(W.)g(&)h(McDade,)g(L.)f(\(1989\).)k (Beha)o(v-)320 507 y(ioral)11 b(indices)i(of)d(m)o(ultisensory)h(in)o (tegration:)18 b(Orien)o(tation)11 b(to)f(visual)h(cues)320 568 y(is)k(a\013ected)f(b)o(y)h(auditory)f(stim)o(uli,)i Ff(Journal)f(of)h(Co)n(gnitive)e(Neur)n(oscienc)n(e)320 629 y Fa(1)p Fk(:)h(12{24.)224 728 y(Uno,)d(Y.,)f(Ka)o(w)o(ato,)f(M.)h (&)g(Suzuki,)i(R.)f(\(1989\).)f(F)l(ormation)g(and)g(con)o(trol)g(of)g (op-)320 789 y(timal)j(tra)s(jectories)e(in)i(h)o(uman)g(m)o(ultijoin)o (t)f(arm)g(mo)o(v)o(emen)o(ts:)18 b(Minim)o(um)320 850 y(torque-c)o(hange)d(mo)q(del,)h Ff(Biolo)n(gic)n(al)f(Cyb)n(ernetics)f Fa(61)p Fk(:)h(89{101.)224 949 y(Wic)o(k)o(elgren,)i(B.)f(\(1971\).)21 b(Sup)q(erior)c(colliculus:)25 b(Some)16 b(receptiv)o(e)h(\014eld)h (prop-)320 1010 y(erties)e(of)e(bimo)q(dally)k(resp)q(onsiv)o(e)e (cells,)g Ff(Scienc)n(e)e Fa(173)p Fk(:)h(69{71.)224 1108 y(Wic)o(k)o(elgren,)24 b(B.)d(&)h(Sterling,)i(P)l(.)d(\(1969\).)37 b(In\015uence)23 b(of)e(visual)i(cortex)e(on)320 1170 y(receptiv)o(e)15 b(\014elds)g(in)g(the)g(sup)q(erior)g(colliculus)i (of)c(the)i(cat,)e Ff(J.)i(Neur)n(ophys-)320 1231 y(iolo)n(gy)g Fa(32)p Fk(:)g(16{23.)224 1329 y(Widro)o(w,)26 b(B.)e(&)h(Ho\013,)h(M.) e(\(1960\).)45 b(Adaptiv)o(e)25 b(switc)o(hing)h(circuits,)h Ff(IRE)320 1390 y(WESCON)20 b(Convention)g(R)n(e)n(c)n(or)n(d)p Fk(,)h(V)l(ol.)g(4,)h(IRE,)f(New)f(Y)l(ork,)i(pp.)f(96{)320 1451 y(104.)224 1550 y(W)l(olp)q(ert,)f(D.)e(M.,)h(Ghahramani,)h(Z.)e (&)h(Jordan,)h(M.)e(I.)h(\(1995a\).)29 b(Are)19 b(arm)320 1611 y(tra)s(jectories)i(planned)i(in)g(kinematic)g(or)e(dynamic)i(co)q (ordinates?)41 b(An)320 1672 y(adaptation)13 b(study)g(,)g Ff(Exp)n(erimental)h(Br)n(ain)g(R)n(ese)n(ar)n(ch)e Fa(103)p Fk(\(3\):)g(460{470.)224 1771 y(W)l(olp)q(ert,)j(D.)e(M.,)g (Ghahramani,)h(Z.)g(&)g(Jordan,)g(M.)g(I.)g(\(1995b\).)i(An)f(in)o (ternal)320 1832 y(mo)q(del)h(for)f(sensorimotor)f(in)o(tegration,)h Ff(Scienc)n(e)f Fa(269)p Fk(:)h(1880{1882.)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF