%%Creator: %!PS-Adobe-2.0 dvips 5.51 Copyright 1986, 1993 Radical Eye Software %%Title: /Users/nilsson/MLBook/mlbook.dvi %%CreationDate: Thu Sep 26 09:13:26 1996 %%Pages: 14 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%EndComments %DVIPSCommandLine: dvips -p 117 -l 130 -D 300 -r0 -Z0 -o /Users/nilsson/MLBook/ch8.ps /Users/nilsson/MLBook/mlbook.dvi %DVIPSSource: TeX output 1996.09.26:0852 %%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 /@rigin{isls{[0 -1 1 0 0 0] concat}if 72 Resolution div 72 VResolution div neg scale isls{Resolution hsize -72 div mul 0 TR}if Resolution VResolution vsize -72 div 1 add mul TR matrix currentmatrix dup dup 4 get round 4 exch put dup dup 5 get round 5 exch put 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 add]{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 showpage userdict /eop-hook known{eop-hook}if}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 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$SavedState save N userdict maxlength dict begin /magscale false def normalscale currentpoint TR /psf$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 (/Users/nilsson/MLBook/mlbook.dvi) @start /Fa 1 51 df<7FFFFCFFFFFEC00006C00006 C00006C00006C00006C00006C00006C00006C00006C00006C00006C00006C00006C00006C00006 C00006C00006C00006C00006FFFFFEFFFFFE17177D991F>50 D E /Fb 27 123 df<00FC000782000E07001C07001C02001C00001C00001C00001C0000FFFF001C07001C07 001C07001C07001C07001C07001C07001C07001C07001C07001C07001C07007F1FC01217809614 >12 D<60F0F070101020204040040A7D830A>44 D<FF80FF80090280870C>I<60F0F06004047D 830A>I<001000003800003800003800005C00005C00005C00008E00008E00008E000107000107 0002038002038002038007FFC00401C00401C00800E00800E01800F03800F0FE03FE17177F961A >65 D<3FC0706070302038003803F81E3830387038E039E039E07970FF1F1E100E7F8D12>97
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c 1 50 df<187898181818181818181818181818 FF08107D8F0F>49 D E /Fd 4 73 df<FFFFC0FFFFC012027D871A>0 D<040E0E1C1C1C383830 70706060C0C0070F7F8F0A>48 D<0003000300060006000C0018001800300030006000C000C001 8001800300030006000C000C0018001800300060006000C0004000101A7C9300>54 D<03F0020FF00610700E20700C40700C80601C00601800E01800E03800C03007FFF00FFFF00180 700180600380600300E00300E00700E10600E20600FC0C00F818157F931C>72 D E /Fe 4 89 df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f 1 51 df<3E00418080C0C0C000C000C0018003000400084030407F80FF800A0D7E8C0E >50 D E /Fg 7 111 df<1FFE000601800600C00600C00C01800C03000FFE000C070018018018 0180180180180300300E00FFF800120E7E8D16>66 D<1FC00600060006000C000C000C000C0018 001804180C18083038FFF00E0E7E8D14>76 D<700030003000300060006E0071806180C180C180 C180C30046003C00090E7E8D0D>98 D<0808000000007098B0303060646870060F7D8E0B>105
D<3800180018001800300030C03360344078007E0063006320C340C1800B0E7E8D10>107 D<73C7009C68809830C038618030618030618030631060C32060C1C014097D8819>109 D<73809C40986030C030C030C03188619060E00D097D8812>I E /Fh 1 14 df<0007F00000003FFE000000780F000001C001C000038000E00006000030000C0000180018 00000C001800000C003000000600600000030060000003006000000300C000000180C000000180 C000000180C000000180C000000180C000000180C0000001806000000300600000030060000003 0030000006001800000C001800000C000C000018000600003000038000E00001C001C00000780F 0000003FFE00000007F0000021217E9926>13 D E /Fi 20 119 df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j 15 118 df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
0038003800380038007000700070007000E00060000D107C8F10>114 D<06000E000E000E000E 001C001C00FFC01C0038003800380038007000700070007000E100E100E100E200E40038000A17 7C960D>116 D<38064C074E0E8E0E9C0E9C0E1C1C381C381C381C7039703970393079389A0F0C 10107C8F15>I E /Fk 25 90 df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l 8 117 df<0001FF8000000FFFF800003FFFFE00007F00FF 0000F8003F8001F0000FC003E0000FE007C00007F007C00007F00FC00003F80FC00003F81FC000 03F81FC00003F81FE00003F81FF00003F81FF80003F81FFE0007F01FFF0007F01FFFC007E00FFF F00FE00FFFFC1FC007FFFE3F8007FFFFFE0003FFFFFC0001FFFFF80000FFFFFC00007FFFFF0000 3FFFFF80003FFFFFC000FFFFFFE001FCFFFFF007F07FFFF80FE01FFFFC1FC007FFFC1F8001FFFE 3F8000FFFE7F00003FFF7F00000FFF7E000007FFFE000001FFFE000000FFFE000000FFFE000000 7FFE0000007FFE0000007EFE0000007E7F0000007E7F0000007C3F800000FC3F800001F81FE000 03F00FF00007E007FE007FC003FFFFFF8000FFFFFE00003FFFF8000003FF800028397CB731>56 D<0000001FFF000030000001FFFFE000F000000FFFFFFC01F000007FFFFFFE03F00001FFFE007F 87F00003FFE0000FCFF0000FFF000003FFF0001FFC000001FFF0003FF80000007FF0007FF00000 003FF000FFC00000003FF001FFC00000001FF003FF800000000FF007FF000000000FF00FFF0000 000007F00FFE0000000007F01FFE0000000003F01FFE0000000003F03FFC0000000003F03FFC00 00000001F03FFC0000000001F07FFC0000000001F07FF80000000001F07FF80000000000007FF8 000000000000FFF8000000000000FFF8000000000000FFF8000000000000FFF8000000000000FF F8000000000000FFF8000000000000FFF8000000000000FFF8000000000000FFF8000000000000 FFF8000000000000FFF80000000000007FF80000000000007FF80000000000007FF80000000000 007FFC0000000000F03FFC0000000000F03FFC0000000000F03FFC0000000000F01FFE00000000 00F01FFE0000000001E00FFE0000000001E00FFF0000000001E007FF0000000003C003FF800000 0003C001FFC0000000078000FFE00000000F00007FF00000001F00003FF80000003E00001FFC00 00007C00000FFF000001F8000003FFE00007F0000001FFFE003FC00000007FFFFFFF000000000F FFFFFC0000000001FFFFF000000000001FFF0000003C3D7BBB47>67 D<001FFF80000001FFFFF0 000003FFFFFC000007F003FF00000FF800FF80001FFC007FC0001FFC003FE0001FFC003FF0001F FC001FF0000FF8001FF8000FF8001FF80007F0001FF80001C0001FF8000000001FF8000000001F F8000000001FF8000000FFFFF800000FFFFFF800007FFC1FF80001FFC01FF80007FE001FF8000F FC001FF8001FF0001FF8003FF0001FF8007FE0001FF8007FE0001FF800FFC0001FF800FFC0001F F800FFC0001FF800FFC0001FF800FFC0003FF8007FE0003FF8007FE0006FF8003FF001CFFC001F FC0787FFF007FFFF07FFF001FFFC03FFF0003FF0007FF02C267DA530>97 D<0001FF8000000FFFF800003FFFFE0000FF80FF0001FE003F8007FC001FC00FF8000FE00FF800 0FF01FF00007F03FF00007F83FF00007F87FE00007F87FE00003FC7FE00003FC7FE00003FCFFE0 0003FCFFFFFFFFFCFFFFFFFFFCFFFFFFFFFCFFE0000000FFE0000000FFE0000000FFE00000007F E00000007FE00000007FE00000003FE00000003FF000003C1FF000003C1FF000003C0FF8000078 07FC0000F803FE0001F001FF0007E000FFC03FC0003FFFFF000007FFFC000000FFE00026267DA5 2D>101 D<00FF00000000FFFF00000000FFFF00000000FFFF00000000FFFF0000000007FF0000 000003FF0000000003FF0000000003FF0000000003FF0000000003FF0000000003FF0000000003 FF0000000003FF0000000003FF0000000003FF0000000003FF0000000003FF0000000003FF0000 000003FF0000000003FF0000000003FF0000000003FF007FC00003FF01FFF80003FF07FFFC0003 FF0F03FE0003FF1C01FF0003FF3001FF8003FF6000FF8003FFE000FFC003FFC000FFC003FF8000 FFC003FF8000FFC003FF8000FFC003FF0000FFC003FF0000FFC003FF0000FFC003FF0000FFC003 FF0000FFC003FF0000FFC003FF0000FFC003FF0000FFC003FF0000FFC003FF0000FFC003FF0000 FFC003FF0000FFC003FF0000FFC003FF0000FFC003FF0000FFC003FF0000FFC003FF0000FFC003 FF0000FFC003FF0000FFC003FF0000FFC003FF0000FFC003FF0000FFC0FFFFFC3FFFFFFFFFFC3F FFFFFFFFFC3FFFFFFFFFFC3FFFFF303C7CBB37>104 D<00FF01FF8000FFFF0FFFF000FFFF3FFF FC00FFFFFE03FF00FFFFF000FF8003FFC0007FC003FF80003FE003FF00003FF003FF00001FF803 FF00001FFC03FF00000FFC03FF00000FFE03FF00000FFE03FF000007FE03FF000007FF03FF0000 07FF03FF000007FF03FF000007FF03FF000007FF03FF000007FF03FF000007FF03FF000007FF03 FF000007FF03FF000007FE03FF000007FE03FF00000FFE03FF00000FFC03FF00000FFC03FF0000
1FF803FF00001FF803FF00003FF003FF80003FE003FFC0007FC003FFF001FF8003FFFC07FF0003 FF3FFFFC0003FF0FFFF00003FF03FF000003FF0000000003FF0000000003FF0000000003FF0000 000003FF0000000003FF0000000003FF0000000003FF0000000003FF0000000003FF0000000003 FF0000000003FF0000000003FF00000000FFFFFC000000FFFFFC000000FFFFFC000000FFFFFC00 000030377DA537>112 D<00FE01FC00FFFE07FF00FFFE0FFF80FFFE1E1FC0FFFE383FE007FE70 7FF003FE607FF003FEC07FF003FEC07FF003FFC03FE003FF803FE003FF801FC003FF80070003FF 00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003 FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF000000 03FF00000003FF00000003FF00000003FF00000003FF000000FFFFFE0000FFFFFE0000FFFFFE00 00FFFFFE000024267EA529>114 D<000F0000000F0000000F0000000F0000000F0000001F0000 001F0000001F0000001F0000003F0000003F0000007F0000007F000000FF000001FF000003FF00 0007FF00001FFFFFF0FFFFFFF0FFFFFFF0FFFFFFF003FF000003FF000003FF000003FF000003FF 000003FF000003FF000003FF000003FF000003FF000003FF000003FF000003FF000003FF000003 FF000003FF000003FF000003FF000003FF000003FF003C03FF003C03FF003C03FF003C03FF003C 03FF003C03FF003C03FF003C01FF007801FF807800FF80F0007FC1E0003FFFC0000FFF800001FE 001E377EB626>116 D E /Fm 43 122 df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
1000100030007000FF80300030003000300030003000300030803080308011000E0009127F910D >I<F078301830183018301830183018301830183018303818580F9E0F0D7F8C12>I<F83C301830 103830182018200C400C40068006800680030003000E0D7F8C11>I<F87CF87070303058203058 20188840188C40188C400D04800D06800D0680060300060300060300150D7F8C18>I<F83C3018 30103830182018200C400C400680068006800300030002000200E400E400E80070000E137F8C11 >121 D E /Fn 40 122 df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o 15 111 df<07C0180030006000C000FF00C000C000C000C0 00C00060801F000A0D7E8C0E>15 D<1C0006000700030003000180018001C000C000C000E001E0 037006300C3018183018601CC00C800E0F147E9314>21 D<07801FE03040400040003E003E0040 0080008000C0807F803E000B0D7F8C10>34 D<40E06020202040408003097D820A>59 D<07FFE000E03801C01801C01C01C01C01C01C0380380380700380E003FFC00700E00700700700 300700380E00700E00700E00E00E00E01C0380FFFE0016147F9319>66 D<07FC0000E00001C000 01C00001C00001C0000380000380000380000380000700000700000700000700200E00400E0040 0E00800E01801C0780FFFF0013147F9317>76 D<003F0001C1C00300600600700C003018003838 0038700038700038700038E00070E00070E00070E000E0E000C06001C07003803806001C1C0007 E00015147E9319>79 D<00F8800305800603000401000C01000C01000C00000E00000FE00007F8 0001FC00001C00000E00000E00400C00400C00400800601800D020008FC00011147E9314>83 D<3C000C001800180018001800300033803C6030206030603060306030C060C06040C060802300 1E000C147F930F>98 D<0018006C007C006C00C000C000C007F800C00180018001800180018003 0003000300030003000200060006006600E400C80070000E1A7F9310>102 D<1E0006000C000C000C000C00180019E01E30183038303030303030306060606460C460C8C0C8 C0700E147E9313>104 D<06070600000000384C4C8C98181830323264643808147F930C>I<1E00 06000C000C000C000C0018001838185C189C3118360038003F8061C060C860C860C8C0D0C0600E 147F9312>107 D<30F87C00590C86004E0D06009C0E0600980C0600180C0600180C060030180C 0030180C8030181880301818806030190060300E00190D7F8C1D>109 D<30F8590C4E0C9C0C98 0C180C180C30183019303130316032601C100D7F8C15>I E /Fp 29 121 df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q 17 122 df<000000003FFE00000E0000000FFFFFC0001E0000007FFFFFF8003E000003 FFFFFFFE00FE00000FFFFFFFFF81FE00003FFFF800FFC3FE0000FFFF80000FF7FE0001FFFC0000 03FFFE0007FFF0000001FFFE000FFFC00000007FFE001FFF800000003FFE003FFF000000001FFE 007FFE000000000FFE00FFFC0000000007FE01FFF80000000007FE03FFF00000000003FE03FFF0 0000000001FE07FFE00000000001FE07FFE00000000000FE0FFFC00000000000FE0FFFC0000000 00007E1FFFC000000000007E1FFF8000000000007E3FFF8000000000007E3FFF8000000000003E
3FFF8000000000003E7FFF8000000000003E7FFF0000000000003E7FFF000000000000007FFF00 000000000000FFFF00000000000000FFFF00000000000000FFFF00000000000000FFFF00000000 000000FFFF00000000000000FFFF00000000000000FFFF00000000000000FFFF00000000000000 FFFF00000000000000FFFF00000000000000FFFF00000000000000FFFF00000000000000FFFF00 0000000000007FFF000000000000007FFF000000000000007FFF000000000000007FFF80000000 00003E3FFF8000000000003E3FFF8000000000003E3FFF8000000000003E1FFF8000000000003E 1FFFC000000000003E0FFFC000000000007C0FFFC000000000007C07FFE000000000007C07FFE0 0000000000F803FFF00000000000F803FFF00000000001F801FFF80000000001F000FFFC000000 0003E0007FFE0000000007E0003FFF000000000FC0001FFF800000001F80000FFFC00000003F00 0007FFF0000000FE000001FFFC000001FC000000FFFF80000FF80000003FFFF8007FF00000000F FFFFFFFFC000000003FFFFFFFF00000000007FFFFFFC00000000000FFFFFE00000000000003FFE 000000474979C756>67 D<FFFFFFFFFF000000FFFFFFFFFF000000FFFFFFFFFF000000FFFFFFFF FF000000FFFFFFFFFF000000001FFFC000000000001FFFC000000000001FFFC000000000001FFF C000000000001FFFC000000000001FFFC000000000001FFFC000000000001FFFC000000000001F FFC000000000001FFFC000000000001FFFC000000000001FFFC000000000001FFFC00000000000 1FFFC000000000001FFFC000000000001FFFC000000000001FFFC000000000001FFFC000000000 001FFFC000000000001FFFC000000000001FFFC000000000001FFFC000000000001FFFC0000000 00001FFFC000000000001FFFC000000000001FFFC000000000001FFFC000000000001FFFC00000 0000001FFFC000000000001FFFC000000000001FFFC000000000001FFFC000000000001FFFC000 000000001FFFC000000000001FFFC000000000001FFFC000000000001FFFC000000000001FFFC0 00000000001FFFC0000000F8001FFFC0000000F8001FFFC0000000F8001FFFC0000000F8001FFF C0000001F0001FFFC0000001F0001FFFC0000001F0001FFFC0000001F0001FFFC0000001F0001F FFC0000003F0001FFFC0000003F0001FFFC0000003F0001FFFC0000007F0001FFFC0000007F000 1FFFC000000FE0001FFFC000001FE0001FFFC000001FE0001FFFC000003FE0001FFFC000007FE0 001FFFC00000FFE0001FFFC00003FFE0001FFFC0000FFFE0001FFFC0007FFFE0FFFFFFFFFFFFFF C0FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFC03D477CC647> 76 D<3FFFFFFFFFFFFFFFFF003FFFFFFFFFFFFFFFFF003FFFFFFFFFFFFFFFFF003FFFFFFFFFFF FFFFFF003FFFFFFFFFFFFFFFFF003FFF0003FFF8003FFF007FF80003FFF80007FF807FE00003FF F80001FF807FC00003FFF80000FF807F800003FFF800007F807F000003FFF800003F807F000003 FFF800003F807E000003FFF800001F807E000003FFF800001F807E000003FFF800000F807C0000 03FFF800000F807C000003FFF800000F807C000003FFF800000F807C000003FFF800000F80FC00 0003FFF800000FC0F8000003FFF8000007C0F8000003FFF8000007C0F8000003FFF8000007C0F8 000003FFF8000007C0F8000003FFF8000007C000000003FFF80000000000000003FFF800000000 00000003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF8000000 0000000003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF80000 000000000003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF800 00000000000003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF8 0000000000000003FFF80000000000000003FFF80000000000000003FFF80000000000000003FF F80000000000000003FFF80000000000000003FFF80000000000000003FFF80000000000000003 FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF800000000000000 03FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF8000000000000 0003FFF80000000000000003FFF80000000000000003FFF80000000000000003FFF80000000000 000003FFF80000000000000003FFF80000000000000003FFF8000000000003FFFFFFFFFFF80000 0003FFFFFFFFFFF800000003FFFFFFFFFFF800000003FFFFFFFFFFF800000003FFFFFFFFFFF800 004A467CC553>84 D<0007FFFC000000007FFFFFC0000001FFFFFFF8000003FFFFFFFE000007FE 001FFF000007FF0003FFC0000FFF8001FFE0000FFF8000FFF0000FFF80007FF0000FFF80007FF8 000FFF80007FF80007FF00003FFC0007FF00003FFC0003FE00003FFC0000F800003FFC00000000 003FFC00000000003FFC00000000003FFC00000000003FFC00000007FFFFFC000000FFFFFFFC00 0007FFFFFFFC00003FFFE03FFC0000FFFE003FFC0003FFF0003FFC0007FFC0003FFC000FFF0000 3FFC001FFE00003FFC003FFC00003FFC007FF800003FFC007FF800003FFC00FFF000003FFC00FF F000003FFC00FFF000003FFC00FFF000003FFC00FFF000003FFC00FFF000007FFC007FF80000FF FC007FF80001EFFC003FFC0003EFFC003FFF0007CFFF000FFFC03F8FFFF807FFFFFF07FFFC01FF FFFC03FFFC007FFFF001FFFC0003FF80007FF8362E7DAD3A>97 D<00001FFE00000001FFFFE000 0007FFFFF800001FFFFFFE00007FFC07FF0000FFE001FF8001FFC0007FC003FF80003FE007FF00 003FF00FFE00001FF01FFE00000FF81FFC00000FF83FFC00000FFC3FFC000007FC7FFC000007FC 7FF8000007FC7FF8000007FE7FF8000007FEFFF8000007FEFFF8000007FEFFFFFFFFFFFEFFFFFF FFFFFEFFFFFFFFFFFEFFFFFFFFFFFCFFF800000000FFF800000000FFF800000000FFF800000000 7FF8000000007FF8000000007FFC000000003FFC000000003FFC000000003FFC0000001C1FFE00 00003E0FFE0000003E0FFF0000007E07FF000000FC03FF800001F801FFC00003F0007FF0001FE0
003FFE00FFC0001FFFFFFF800007FFFFFE000000FFFFF80000000FFF80002F2E7DAD36>101 D<00000000001F8000007FF8007FE00003FFFF01FFF0001FFFFFE7FFF0003FFFFFFFE7F800FFE0 1FFF0FF801FF8007FE0FF803FF0003FF0FF807FE0001FF87F007FE0001FF87F00FFC0000FFC1C0 0FFC0000FFC0000FFC0000FFC0001FFC0000FFE0001FFC0000FFE0001FFC0000FFE0001FFC0000 FFE0001FFC0000FFE0001FFC0000FFE0000FFC0000FFC0000FFC0000FFC0000FFC0000FFC00007 FE0001FF800007FE0001FF800003FF0003FF000001FF8007FE000000FFE01FFC000000FFFFFFF0 000001FFFFFFE0000003C3FFFF00000003C07FF800000007C0000000000007C0000000000007C0 000000000007C0000000000007E0000000000007F0000000000007F8000000000007FFFFFFF000 0007FFFFFFFF000003FFFFFFFFE00003FFFFFFFFF80001FFFFFFFFFE0001FFFFFFFFFF0000FFFF FFFFFF80007FFFFFFFFF8003FFFFFFFFFFC00FFFFFFFFFFFC01FF800001FFFE03FE0000001FFE0 7FC00000007FF07FC00000003FF0FF800000001FF0FF800000001FF0FF800000001FF0FF800000 001FF0FF800000001FF07FC00000003FE07FC00000003FE03FE00000007FC03FF0000000FFC01F FC000003FF800FFF00000FFF0003FFF000FFFC0000FFFFFFFFF000003FFFFFFFC0000007FFFFFE 000000003FFFC0000035447DAE3B>103 D<007FC00000000000FFFFC00000000000FFFFC00000 000000FFFFC00000000000FFFFC00000000000FFFFC0000000000003FFC0000000000001FFC000 0000000001FFC0000000000001FFC0000000000001FFC0000000000001FFC0000000000001FFC0 000000000001FFC0000000000001FFC0000000000001FFC0000000000001FFC0000000000001FF C0000000000001FFC0000000000001FFC0000000000001FFC0000000000001FFC0000000000001 FFC0000000000001FFC0000000000001FFC0000000000001FFC0000000000001FFC001FFC00000 01FFC00FFFF8000001FFC03FFFFE000001FFC0FFFFFF000001FFC1FC07FF800001FFC3E003FFC0 0001FFC7C001FFC00001FFCF0001FFE00001FFDE0000FFE00001FFDC0000FFE00001FFFC0000FF F00001FFF80000FFF00001FFF00000FFF00001FFF00000FFF00001FFF00000FFF00001FFE00000 FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE000 00FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE0 0000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FF E00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001 FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF000 01FFE00000FFF000FFFFFFC07FFFFFE0FFFFFFC07FFFFFE0FFFFFFC07FFFFFE0FFFFFFC07FFFFF E0FFFFFFC07FFFFFE03B487CC742>I<00FC0001FE0003FF0007FF800FFFC01FFFE01FFFE01FFF E01FFFE01FFFE01FFFE00FFFC007FF8003FF0001FE0000FC000000000000000000000000000000 00000000000000000000000000000000000000007FC0FFFFC0FFFFC0FFFFC0FFFFC0FFFFC003FF C001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FF C001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FF C001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC0FFFFFFFFFFFFFFFFFFFFFFFFFFFF FF18497CC820>I<007FC000FFFFC000FFFFC000FFFFC000FFFFC000FFFFC00003FFC00001FFC0 0001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FF C00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001 FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000 01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC0 0001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FF C00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001 FFC000FFFFFF80FFFFFF80FFFFFF80FFFFFF80FFFFFF8019487CC720>108 D<007FC001FFC00000FFE00000FFFFC00FFFF80007FFFC0000FFFFC03FFFFE001FFFFF0000FFFF C0FFFFFF007FFFFF8000FFFFC1FC07FF80FE03FFC000FFFFC3E003FFC1F001FFE00003FFC7C001 FFC3E000FFE00001FFCF0001FFE78000FFF00001FFDE0000FFEF00007FF00001FFDC0000FFEE00 007FF00001FFFC0000FFFE00007FF80001FFF80000FFFC00007FF80001FFF00000FFF800007FF8 0001FFF00000FFF800007FF80001FFF00000FFF800007FF80001FFE00000FFF000007FF80001FF E00000FFF000007FF80001FFE00000FFF000007FF80001FFE00000FFF000007FF80001FFE00000 FFF000007FF80001FFE00000FFF000007FF80001FFE00000FFF000007FF80001FFE00000FFF000 007FF80001FFE00000FFF000007FF80001FFE00000FFF000007FF80001FFE00000FFF000007FF8 0001FFE00000FFF000007FF80001FFE00000FFF000007FF80001FFE00000FFF000007FF80001FF E00000FFF000007FF80001FFE00000FFF000007FF80001FFE00000FFF000007FF80001FFE00000 FFF000007FF80001FFE00000FFF000007FF80001FFE00000FFF000007FF80001FFE00000FFF000 007FF80001FFE00000FFF000007FF80001FFE00000FFF000007FF80001FFE00000FFF000007FF8 0001FFE00000FFF000007FF80001FFE00000FFF000007FF800FFFFFFC07FFFFFE03FFFFFF0FFFF FFC07FFFFFE03FFFFFF0FFFFFFC07FFFFFE03FFFFFF0FFFFFFC07FFFFFE03FFFFFF0FFFFFFC07F FFFFE03FFFFFF05C2E7CAD63>I<007FC001FFC00000FFFFC00FFFF80000FFFFC03FFFFE0000FF FFC0FFFFFF0000FFFFC1FC07FF8000FFFFC3E003FFC00003FFC7C001FFC00001FFCF0001FFE000 01FFDE0000FFE00001FFDC0000FFE00001FFFC0000FFF00001FFF80000FFF00001FFF00000FFF0
0001FFF00000FFF00001FFF00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FF F00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000 FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE000 00FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE0 0000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FF E00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF000FFFFFFC07FFFFFE0FF FFFFC07FFFFFE0FFFFFFC07FFFFFE0FFFFFFC07FFFFFE0FFFFFFC07FFFFFE03B2E7CAD42>I<00 000FFF0000000000FFFFF000000007FFFFFE0000001FFFFFFF8000003FFC03FFC00000FFE0007F F00001FF80001FF80003FF00000FFC0007FE000007FE000FFE000007FF000FFC000003FF001FFC 000003FF803FFC000003FFC03FF8000001FFC03FF8000001FFC07FF8000001FFE07FF8000001FF E07FF8000001FFE0FFF8000001FFF0FFF8000001FFF0FFF8000001FFF0FFF8000001FFF0FFF800 0001FFF0FFF8000001FFF0FFF8000001FFF0FFF8000001FFF0FFF8000001FFF0FFF8000001FFF0 7FF8000001FFE07FF8000001FFE07FF8000001FFE07FF8000001FFE03FFC000003FFC03FFC0000 03FFC01FFC000003FF801FFE000007FF800FFE000007FF0007FF00000FFE0003FF80001FFC0001 FFC0003FF80000FFE0007FF000007FFC03FFE000001FFFFFFF80000007FFFFFE00000000FFFFF0 000000000FFF000000342E7DAD3B>I<007FC00FFC000000FFFFC07FFFC00000FFFFC3FFFFF000 00FFFFCFFFFFFC0000FFFFDFF01FFF0000FFFFFF8007FF800003FFFE0003FFC00001FFF80000FF E00001FFF00000FFF00001FFE000007FF80001FFE000003FFC0001FFE000003FFC0001FFE00000 3FFE0001FFE000001FFE0001FFE000001FFE0001FFE000001FFF0001FFE000001FFF0001FFE000 000FFF0001FFE000000FFF8001FFE000000FFF8001FFE000000FFF8001FFE000000FFF8001FFE0 00000FFF8001FFE000000FFF8001FFE000000FFF8001FFE000000FFF8001FFE000000FFF8001FF E000000FFF8001FFE000000FFF0001FFE000001FFF0001FFE000001FFF0001FFE000001FFE0001 FFE000001FFE0001FFE000003FFC0001FFE000003FFC0001FFE000007FF80001FFF000007FF800 01FFF80000FFF00001FFFC0001FFE00001FFFE0003FFC00001FFFF000FFF800001FFFFE03FFE00 0001FFEFFFFFFC000001FFE3FFFFF0000001FFE0FFFF80000001FFE01FF800000001FFE0000000 000001FFE0000000000001FFE0000000000001FFE0000000000001FFE0000000000001FFE00000 00000001FFE0000000000001FFE0000000000001FFE0000000000001FFE0000000000001FFE000 0000000001FFE0000000000001FFE0000000000001FFE0000000000001FFE00000000000FFFFFF C000000000FFFFFFC000000000FFFFFFC000000000FFFFFFC000000000FFFFFFC0000000003942 7CAD42>I<00FF803F8000FFFF80FFF000FFFF83FFFC00FFFF87FFFE00FFFF8FC3FF00FFFF8F07 FF0003FF9E0FFF8001FFBC0FFF8001FFB80FFF8001FFF80FFF8001FFF00FFF8001FFF007FF0001 FFF007FF0001FFE003FE0001FFE000F80001FFE000000001FFE000000001FFC000000001FFC000 000001FFC000000001FFC000000001FFC000000001FFC000000001FFC000000001FFC000000001 FFC000000001FFC000000001FFC000000001FFC000000001FFC000000001FFC000000001FFC000 000001FFC000000001FFC000000001FFC000000001FFC000000001FFC000000001FFC000000001 FFC000000001FFC000000001FFC0000000FFFFFFE00000FFFFFFE00000FFFFFFE00000FFFFFFE0 0000FFFFFFE00000292E7CAD31>114 D<0001F000000001F000000001F000000001F000000001 F000000001F000000003F000000003F000000003F000000007F000000007F000000007F0000000 0FF00000000FF00000001FF00000003FF00000003FF00000007FF0000001FFF0000003FFF00000 0FFFFFFFE0FFFFFFFFE0FFFFFFFFE0FFFFFFFFE0FFFFFFFFE000FFF0000000FFF0000000FFF000 0000FFF0000000FFF0000000FFF0000000FFF0000000FFF0000000FFF0000000FFF0000000FFF0 000000FFF0000000FFF0000000FFF0000000FFF0000000FFF0000000FFF0000000FFF0000000FF F0000000FFF0000000FFF0000000FFF0000000FFF0000000FFF000F800FFF000F800FFF000F800 FFF000F800FFF000F800FFF000F800FFF000F800FFF000F800FFF000F8007FF001F0007FF801F0 003FF803E0003FFC03E0001FFE0FC0000FFFFF800003FFFF000000FFFE0000001FF00025427EC1 2E>116 D<007FE000003FF000FFFFE0007FFFF000FFFFE0007FFFF000FFFFE0007FFFF000FFFF E0007FFFF000FFFFE0007FFFF00003FFE00001FFF00001FFE00000FFF00001FFE00000FFF00001 FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF000 01FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF0 0001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FF F00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000 FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE00000FFF00001FFE000 01FFF00001FFE00001FFF00001FFE00001FFF00001FFE00003FFF00000FFE00007FFF00000FFE0 000F7FF000007FE0001F7FF000007FF0003E7FF800003FFC00FC7FFFE0001FFFFFF87FFFE00007 FFFFE07FFFE00001FFFF807FFFE000003FFE007FFFE03B2E7CAD42>I<7FFFFF8000FFFF807FFF FF8000FFFF807FFFFF8000FFFF807FFFFF8000FFFF807FFFFF8000FFFF8001FFF000000FE00000 FFF8000007C00000FFF800000FC000007FF800000F8000007FFC00001F8000003FFC00001F0000 003FFE00003F0000001FFE00003E0000001FFF00007E0000000FFF00007C0000000FFF8000FC00 000007FF8000F800000007FFC001F800000003FFC001F000000003FFE001F000000003FFE003F0
00000001FFE003E000000001FFF007E000000000FFF007C000000000FFF80FC0000000007FF80F 80000000007FFC1F80000000003FFC1F00000000003FFE3F00000000001FFE3E00000000001FFF 7E00000000000FFF7C00000000000FFFFC00000000000FFFFC000000000007FFF8000000000007 FFF8000000000003FFF0000000000003FFF0000000000001FFE0000000000001FFE00000000000 00FFC0000000000000FFC00000000000007F800000000000007F800000000000003F0000000000 00003F000000000000003F000000000000003E000000000000007E000000000000007C00000000 000000FC000000001F8000F8000000003FC001F8000000007FE001F000000000FFF003F0000000 00FFF003E000000000FFF007E000000000FFF00FC000000000FFF01F8000000000FFF03F800000 00007FE07F00000000007F43FE00000000003FFFF800000000001FFFF0000000000007FFC00000 00000001FE00000000000039427EAD3F>121 D E /Fr 12 107 df<FFFFFF80FFFFFF8019027D 8A20>0 D<03C00FF01FF83FFC7FFE7FFEFFFFFFFFFFFFFFFF7FFE7FFE3FFC1FF80FF003C01010 7E9115>15 D<FFFFFFE07FFFFFE000000000000000000000000000000000000000000000000000 000000FFFFFFE0FFFFFFE000000000000000000000000000000000000000000000000000000000 7FFFFFE0FFFFFFE01B147E9320>17 D<000001800000078000001E00000078000001E000000780 00001E00000078000001E00000078000001E00000078000000E0000000780000001E0000000780 000001E0000000780000001E0000000780000001E0000000780000001E00000007800000018000 0000000000000000000000000000000000000000000000000000007FFFFF00FFFFFF8019227D99 20>20 D<C0000000F00000003C0000000F00000003C0000000F00000003C0000000F00000003C0 000000F00000003C0000000F000000038000000F0000003C000000F0000003C000000F0000003C 000000F0000003C000000F0000003C00000070000000C000000000000000000000000000000000 0000000000000000000000000000007FFFFF00FFFFFF8019227D9920>I<0000600000600000C0 0000C0000180000180000180000300000300000600000600000C00000C00001800001800001800 00300000300000600000600000C00000C000018000018000030000030000030000060000060000 0C00000C0000180000180000300000300000300000600000600000C0000040000013287A9D00> 54 D<0003F0000FF80030F80040780180780300700700700E00E00E00E01C01801C0000380000 380000780000780000700000700000F00000F00000F00000F00000F00000F00020F80060F801C0 7C01807E03003F04001FF8000FE000151E7F9C16>67 D<007E000601FF000C061F001C0C0F003C 380F0038300F0038600E0078C00E0070001E0070001E00F0001E00E0001C00E0001C01E0003C01 C001FFFFC003FFFFC0003803C000780380007003800070078000F0078000E0078000E0070001E0 070001C00F0001C00F0203800F0603800F9C07000FF0040007C01F1E809B23>72 D<003FFF000001FFFFE000071E0FF000081C01F800381C00F800703C007800603C007800C03C00 7800003C0070000038007000003800E000007800C0000078018000007802000000700C00000071 F0000000F3F0000000E1F0000000E0F8000001E0F8000001C07C000001C07C000003C03C000003 803E018003803E070007801F060007001F880006000FF0000C0007C000211D809B23>82 D<003C00E001C00180038003800380038003800380038003800380038003800380038003000700 1C00F0001C00070003000380038003800380038003800380038003800380038003800380018001 C000E0003C0E297D9E15>102 D<F0001C00070003000380038003800380038003800380038003 800380038003800380018001C000E0003C00E001C0018003800380038003800380038003800380 03800380038003800380030007001C00F0000E297D9E15>I<C0C0C0C0C0C0C0C0C0C0C0C0C0C0 C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C0C002297B9E0C>106 D E /Fs 79 125 df<FFFFFEFFFFFEFFFFFE800002800002800002800002000000000000000000 0800200800200FFFE00FFFE00FFFE0080020080020000000000000000000000000800002800002 800002800002FFFFFEFFFFFEFFFFFE171C7E9B1C>4 D<FFFFFFF00F000F000F000F000F000F00 0F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F 000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F000F00 0F000F000F000F000F000F000F00FFF0FFF01C1C7F9B1F>I<007F000003C1E000070070001C00 1C003C001E0038000E0078000F0070000700F0000780F0000780F0000780F0000780F000078070 00070078000F0078000F0038000E001C001C001C001C000E003800060030000600300083006080 81004080810040804180C1007F80FF007F80FF007F80FF00191D7E9C1E>10 D<007E1F0001C1B1800303E3C00703C3C00E03C1800E01C0000E01C0000E01C0000E01C0000E01 C0000E01C000FFFFFC000E01C0000E01C0000E01C0000E01C0000E01C0000E01C0000E01C0000E 01C0000E01C0000E01C0000E01C0000E01C0000E01C0000E01C0000E01C0000E01C0007F87FC00 1A1D809C18>I<007E0001C1800301800703C00E03C00E01800E00000E00000E00000E00000E00 00FFFFC00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01 C00E01C00E01C00E01C00E01C07F87F8151D809C17>I<003F07E00001C09C18000380F0180007 01F03C000E01E03C000E00E018000E00E000000E00E000000E00E000000E00E000000E00E00000 FFFFFFFC000E00E01C000E00E01C000E00E01C000E00E01C000E00E01C000E00E01C000E00E01C 000E00E01C000E00E01C000E00E01C000E00E01C000E00E01C000E00E01C000E00E01C000E00E0 1C000E00E01C007FC7FCFF80211D809C23>14 D<60F0F0F0F0F0F0F06060606060606060606060
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t 34 122 df<0020004001800380030006000E001C001C003C0038003800780078007800F800F000F000F0 00F000F000F000F000F000F000F800780078007800380038003C001C001C000E00060003000380 0180004000200B297C9E13>40 D<800040003000380018000C000E000700070007800380038003 C003C003C003E001E001E001E001E001E001E001E001E001E003E003C003C003C0038003800780 070007000E000C00180038003000400080000B297D9E13>I<70F8FCFCFC7C0404080808102040 060E7D850D>44 D<78FCFCFCFC7806067D850D>46 D<00600001E0000FE000FFE000F3E00003E0 0003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E00003E0 0003E00003E00003E00003E00003E00003E0007FFF807FFF80111B7D9A18>49 D<07F8001FFE00383F80780FC0FC07C0FC07E0FC03E0FC03E07803E00007E00007C00007C0000F 80001F00001E0000380000700000E0000180600300600600600800E01FFFC03FFFC07FFFC0FFFF C0FFFFC0131B7E9A18>I<07F8001FFE003C1F003C0F807C07C07E07C07C07C03807C0000F8000 0F80001E00003C0003F800001E00000F800007C00007C00007E03007E07807E0FC07E0FC07E0FC 07C0780F80781F001FFE0007F800131B7E9A18>I<000180000380000780000F80001F80003F80 006F8000CF80008F80018F80030F80060F800C0F80180F80300F80600F80C00F80FFFFF8FFFFF8 000F80000F80000F80000F80000F80000F8000FFF800FFF8151B7F9A18>I<3801803FFF003FFE 003FFC003FF8003FC00030000030000030000030000031F800361E00380F803007800007C00007 E00007E00007E07807E0F807E0F807E0F807C0F007C0600F80381F001FFE0007F000131B7E9A18 >I<007E0003FF000781800F03C01E07C03C07C07C0380780000780000F80000F8F800FB0E00FA 0780FC0380FC03C0F803E0F803E0F803E0F803E07803E07803E07803C03C03C03C07801E0F0007 FE0003F800131B7E9A18>I<03F8000FFE001E0F803807803803C07803C07C03C07E03C07F8380 3FC7003FFE001FFC000FFE0007FF001DFF80387FC0781FE0700FE0F003E0F001E0F001E0F001E0 7801C07803803E07801FFE0003F800131B7E9A18>56 D<FFFFF800FFFFFF000FC01F800FC00FC0 0FC007C00FC007E00FC007E00FC007E00FC007E00FC007E00FC007C00FC00F800FC03F000FFFFE 000FC00F800FC007C00FC003E00FC003E00FC003F00FC003F00FC003F00FC003F00FC003F00FC0 07E00FC007E00FC01FC0FFFFFF00FFFFFC001C1C7E9B22>66 D<001FE02000FFF8E003F80FE007 C003E00F8001E01F0000E03E0000E03E0000607E0000607C000060FC000000FC000000FC000000 FC000000FC000000FC000000FC000000FC0000007C0000607E0000603E0000603E0000C01F0000 C00F80018007C0030003F80E0000FFFC00001FE0001B1C7D9B22>I<FFFFFF00FFFFFF000FC01F 000FC007000FC003000FC003800FC003800FC001800FC0C1800FC0C1800FC0C0000FC1C0000FC3 C0000FFFC0000FFFC0000FC3C0000FC1C0000FC0C0000FC0C0000FC0C0000FC000000FC000000F C000000FC000000FC000000FC00000FFFE0000FFFE0000191C7E9B1E>70 D<FFFE00FFFE000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0 000FC0000FC0000FC0000FC0000FC0030FC0030FC0030FC0070FC0070FC0060FC00E0FC01E0FC0 7EFFFFFEFFFFFE181C7E9B1D>76 D<07F8201FFEE03C07E07801E07000E0F000E0F00060F00060
F80000FE0000FFE0007FFE003FFF003FFF800FFFC007FFE0007FE00003F00001F00000F0C000F0 C000F0C000E0E000E0F001C0FC03C0EFFF0083FC00141C7D9B1B>83 D<7FFFFFE07FFFFFE0781F 81E0701F80E0601F8060E01F8070C01F8030C01F8030C01F8030C01F8030001F8000001F800000 1F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000 001F8000001F8000001F8000001F800007FFFE0007FFFE001C1C7E9B21>I<7FFE1FFE007FFE1F FE0007F001800003F803800001F807000001FC06000000FE0C0000007F1C0000003F380000003F B00000001FE00000000FE00000000FE000000007F000000003F800000007F80000000FFC000000 0CFE000000187E000000387F000000703F800000601FC00000C01FC00001C00FE000038007F000 030003F000FFF01FFF80FFF01FFF80211C7F9B24>88 D<0FF8001C1E003E0F803E07803E07C01C 07C00007C0007FC007E7C01F07C03C07C07C07C0F807C0F807C0F807C0780BC03E13F80FE1F815 127F9117>97 D<FF0000FF00001F00001F00001F00001F00001F00001F00001F00001F00001F00 001F3F801FE1E01F80701F00781F003C1F003C1F003E1F003E1F003E1F003E1F003E1F003E1F00 3C1F003C1F00781F80701EC1E01C3F00171D7F9C1B>I<03FC000E0E001C1F003C1F00781F0078 0E00F80000F80000F80000F80000F80000F800007800007801803C01801C03000E0E0003F80011 127E9115>I<03FC000F07001C03803C01C07801C07801E0F801E0F801E0FFFFE0F80000F80000 F800007800007800603C00601E00C00F038001FC0013127F9116>101 D<FF0000FF00001F0000 1F00001F00001F00001F00001F00001F00001F00001F00001F0FC01F31E01F40F01F80F81F80F8 1F00F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F00F8FFE7FFFFE7FF 181D7F9C1B>104 D<1E003F003F003F003F001E000000000000000000000000007F007F001F00 1F001F001F001F001F001F001F001F001F001F001F001F001F00FFC0FFC00A1E7F9D0E>I<FF00 FF001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F 001F001F001F001F001F001F00FFE0FFE00B1D7F9C0E>108 D<FF0FC07E00FF31E18F001F40F2 07801F80FC07C01F80FC07C01F00F807C01F00F807C01F00F807C01F00F807C01F00F807C01F00 F807C01F00F807C01F00F807C01F00F807C01F00F807C01F00F807C0FFE7FF3FF8FFE7FF3FF825 127F9128>I<FF0FC0FF31E01F40F01F80F81F80F81F00F81F00F81F00F81F00F81F00F81F00F8 1F00F81F00F81F00F81F00F81F00F8FFE7FFFFE7FF18127F911B>I<01FC000F07801C01C03C01 E07800F07800F0F800F8F800F8F800F8F800F8F800F8F800F87800F07800F03C01E01E03C00F07 8001FC0015127F9118>I<FF3F80FFE1E01F80F01F00781F007C1F003C1F003E1F003E1F003E1F 003E1F003E1F003E1F003C1F007C1F00781F80F01FC1E01F3F001F00001F00001F00001F00001F 00001F0000FFE000FFE000171A7F911B>I<FE3E00FE47001E8F801E8F801E8F801F07001F0000 1F00001F00001F00001F00001F00001F00001F00001F00001F0000FFE000FFE00011127F9114> 114 D<1FD830786018E018E018F000FF807FE07FF01FF807FC007CC01CC01CE01CE018F830CFC0 0E127E9113>I<0300030003000300070007000F000F003FFCFFFC1F001F001F001F001F001F00 1F001F001F001F0C1F0C1F0C1F0C0F08079803F00E1A7F9913>I<FF07F8FF07F81F00F81F00F8 1F00F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F00F81F01F80F01F80786FF 01F8FF18127F911B>I<FFC1FCFFC1FC1F00601F80600F80C00F80C007C18007C18003E30003E3 0003F70001F60001FE0000FC0000FC00007800007800003000003000006000706000F8E000F8C0 00F980007300003E0000161A7F9119>121 D E /Fu 38 122 df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
000000007E000001807F000001803F000001803F000003801F800003000F8000030007C0000600 03F0000C0001F800380000FF00F000001FFFC0000003FE000021227DA128>67 D<FFFFFF8000FFFFFFF00007F003FC0007F0007E0007F0003F0007F0001F8007F0000FC007F000 07E007F00007E007F00007F007F00003F007F00003F007F00003F007F00003F807F00003F807F0 0003F807F00003F807F00003F807F00003F807F00003F807F00003F807F00003F807F00003F007 F00003F007F00003F007F00007E007F00007E007F0000FC007F0001F8007F0003F0007F0007E00 07F003FC00FFFFFFF000FFFFFF800025227EA12B>I<FFFFFFFCFFFFFFFC07F000FC07F0003C07 F0001C07F0000C07F0000E07F0000E07F0000607F00C0607F00C0607F00C0607F00C0007F01C00 07F03C0007FFFC0007FFFC0007F03C0007F01C0007F00C0007F00C0007F00C0307F00C0307F000 0307F0000607F0000607F0000607F0000E07F0000E07F0001E07F0003E07F001FCFFFFFFFCFFFF FFFC20227EA125>I<FFFFFFF8FFFFFFF807F001F807F0007807F0003807F0001807F0001C07F0 001C07F0000C07F0000C07F0180C07F0180C07F0180007F0180007F0380007F0780007FFF80007 FFF80007F0780007F0380007F0180007F0180007F0180007F0180007F0000007F0000007F00000 07F0000007F0000007F0000007F0000007F00000FFFFC000FFFFC0001E227EA123>I<0003FE00 40001FFFC0C0007F00F1C001F8003FC003F0000FC007C00007C00FC00003C01F800003C03F0000 01C03F000001C07F000000C07E000000C07E000000C0FE00000000FE00000000FE00000000FE00 000000FE00000000FE00000000FE00000000FE000FFFFC7E000FFFFC7F00001FC07F00001FC03F 00001FC03F00001FC01F80001FC00FC0001FC007E0001FC003F0001FC001FC003FC0007F80E7C0 001FFFC3C00003FF00C026227DA12C>I<FFFFC000FFFFC00007F0000007F0000007F0000007F0 000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007 F0000007F0000007F0000007F0000007F0000007F0000007F0001807F0001807F0001807F00018 07F0003807F0003807F0007007F0007007F000F007F001F007F007F0FFFFFFF0FFFFFFF01D227E A122>76 D<FFF000000FFFFFF800001FFF07F800001FE006FC000037E006FC000037E006FC0000 37E0067E000067E0067E000067E0063F0000C7E0063F0000C7E0061F800187E0061F800187E006 0FC00307E0060FC00307E0060FC00307E00607E00607E00607E00607E00603F00C07E00603F00C 07E00601F81807E00601F81807E00601F81807E00600FC3007E00600FC3007E006007E6007E006 007E6007E006003FC007E006003FC007E006001F8007E006001F8007E006001F8007E006000F00 07E0FFF00F00FFFFFFF00600FFFF30227EA135>I<FFFFFF00FFFFFFE007F007F007F001FC07F0 00FC07F0007E07F0007E07F0007F07F0007F07F0007F07F0007F07F0007F07F0007E07F0007E07 F000FC07F001FC07F007F007FFFFE007FFFF0007F0000007F0000007F0000007F0000007F00000 07F0000007F0000007F0000007F0000007F0000007F0000007F0000007F00000FFFF8000FFFF80 0020227EA126>80 D<FFFFFE0000FFFFFFC00007F007F00007F001F80007F000FC0007F0007E00 07F0007F0007F0007F0007F0007F0007F0007F0007F0007F0007F0007F0007F0007E0007F000FC 0007F001F80007F007F00007FFFFC00007FFFF800007F00FE00007F007F00007F003F80007F001 FC0007F001FC0007F001FC0007F001FC0007F001FC0007F001FC0007F001FC0007F001FC0007F0 01FC0607F000FE0607F000FF0CFFFF803FF8FFFF800FF027227EA12A>82 D<01FE0207FF861F01FE3C007E7C001E78000E78000EF80006F80006FC0006FC0000FF0000FFE0 007FFF007FFFC03FFFF01FFFF80FFFFC03FFFE003FFE0003FE00007F00003F00003FC0001FC000 1FC0001FE0001EE0001EF0003CFC003CFF00F8C7FFE080FF8018227DA11F>I<7FFFFFFF807FFF FFFF807E03F80F807803F807807003F803806003F80180E003F801C0E003F801C0C003F800C0C0 03F800C0C003F800C0C003F800C00003F800000003F800000003F800000003F800000003F80000 0003F800000003F800000003F800000003F800000003F800000003F800000003F800000003F800 000003F800000003F800000003F800000003F800000003F800000003F800000003F8000001FFFF F00001FFFFF00022227EA127>I<FFFF000FFEFFFF000FFE07F00000C007F00000C003F8000180 03F800018003FC00038001FC00030001FE00030000FE00060000FF000600007F000C00007F000C 00007F801C00003F801800003FC03800001FC03000001FE03000000FE06000000FE060000007F0 C0000007F0C0000007F9C0000003F980000003FD80000001FF00000001FF00000000FE00000000 FE00000000FE000000007C000000007C00000000380000000038000027227FA12A>86 D<0FFC003FFF807E07C07E03E07E01E07E01F03C01F00001F00001F0003FF003FDF01FC1F03F01 F07E01F0FC01F0FC01F0FC01F0FC01F07E02F07E0CF81FF87F07E03F18167E951B>97 D<FF000000FF0000001F0000001F0000001F0000001F0000001F0000001F0000001F0000001F00 00001F0000001F0000001F0000001F0FE0001F3FF8001FE07C001F803E001F001F001F000F801F 000F801F000FC01F000FC01F000FC01F000FC01F000FC01F000FC01F000FC01F000FC01F000F80 1F001F801F801F001FC03E001EE07C001C3FF800180FC0001A237EA21F>I<00FF8007FFE00F83 F01F03F03E03F07E03F07C01E07C0000FC0000FC0000FC0000FC0000FC0000FC00007C00007E00 007E00003E00181F00300FC06007FFC000FF0015167E9519>I<0001FE000001FE0000003E0000 003E0000003E0000003E0000003E0000003E0000003E0000003E0000003E0000003E0000003E00 01FC3E0007FFBE000F81FE001F007E003E003E007E003E007C003E00FC003E00FC003E00FC003E 00FC003E00FC003E00FC003E00FC003E00FC003E007C003E007C003E003E007E001F00FE000F83
BE0007FF3FC001FC3FC01A237EA21F>I<00FE0007FF800F87C01E01E03E01F07C00F07C00F8FC 00F8FC00F8FFFFF8FFFFF8FC0000FC0000FC00007C00007C00007E00003E00181F00300FC07003 FFC000FF0015167E951A>I<FF000000FF0000001F0000001F0000001F0000001F0000001F0000 001F0000001F0000001F0000001F0000001F0000001F0000001F07E0001F1FF8001F307C001F40 3C001F803E001F803E001F003E001F003E001F003E001F003E001F003E001F003E001F003E001F 003E001F003E001F003E001F003E001F003E001F003E001F003E00FFE1FFC0FFE1FFC01A237EA2 1F>104 D<1C003E007F007F007F003E001C000000000000000000000000000000FF00FF001F00 1F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F00FFE0FFE00B 247EA310>I<FF00FF001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F 001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F00FFE0FFE00B23 7EA210>108 D<FF07F007F000FF1FFC1FFC001F303E303E001F403E403E001F801F801F001F80 1F801F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F 001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F001F00 1F001F001F001F001F00FFE0FFE0FFE0FFE0FFE0FFE02B167E9530>I<FF07E000FF1FF8001F30 7C001F403C001F803E001F803E001F003E001F003E001F003E001F003E001F003E001F003E001F 003E001F003E001F003E001F003E001F003E001F003E001F003E001F003E00FFE1FFC0FFE1FFC0 1A167E951F>I<00FE0007FFC00F83E01E00F03E00F87C007C7C007C7C007CFC007EFC007EFC00 7EFC007EFC007EFC007EFC007E7C007C7C007C3E00F81F01F00F83E007FFC000FE0017167E951C >I<FF0FE000FF3FF8001FE07C001F803E001F001F001F001F801F001F801F000FC01F000FC01F 000FC01F000FC01F000FC01F000FC01F000FC01F000FC01F001F801F001F801F803F001FC03E00 1FE0FC001F3FF8001F0FC0001F0000001F0000001F0000001F0000001F0000001F0000001F0000 001F000000FFE00000FFE000001A207E951F>I<FE1F00FE3FC01E67E01EC7E01E87E01E87E01F 83C01F00001F00001F00001F00001F00001F00001F00001F00001F00001F00001F00001F00001F 0000FFF000FFF00013167E9517>114 D<0FF3003FFF00781F00600700E00300E00300F00300FC 00007FE0007FF8003FFE000FFF0001FF00000F80C00780C00380E00380E00380F00700FC0E00EF FC00C7F00011167E9516>I<0180000180000180000180000380000380000780000780000F8000 3F8000FFFF00FFFF000F80000F80000F80000F80000F80000F80000F80000F80000F80000F8000 0F80000F81800F81800F81800F81800F81800F830007C30003FE0000F80011207F9F16>I<FF01 FE00FF01FE001F003E001F003E001F003E001F003E001F003E001F003E001F003E001F003E001F 003E001F003E001F003E001F003E001F003E001F003E001F003E001F007E001F00FE000F81BE00 07FF3FC001FC3FC01A167E951F>I<FFE07FC0FFE07FC00F801C0007C0380003E0700003F06000 01F8C00000F98000007F8000003F0000001F0000001F8000003FC0000037C0000063E00000C1F0 0001C0F8000380FC0007007E000E003E00FF80FFE0FF80FFE01B167F951E>120 D<FFE01FE0FFE01FE01F8007000F8006000FC00E0007C00C0007E00C0003E0180003E0180001F0 300001F0300000F8600000F86000007CC000007CC000007FC000003F8000003F8000001F000000 1F0000000E0000000E0000000C0000000C00000018000078180000FC380000FC300000FC600000 69C000007F8000001F0000001B207F951E>I E /Fv 40 122 df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
0F803FC00F003FF01F001FFC1E001FFE3C000FFFF80007FFE00003FFF00001FFFC0001FFFE0007 FFFF000F0FFF801E03FFC03C01FFC07C007FE07C001FE0F8000FE0F80007E0F80003E0F80003E0 F80003E0F80003C07C0003C07C0007803F000F001FC03E000FFFFC0003FFF800007FC0001B277D A622>56 D<000003800000000007C00000000007C0000000000FE0000000000FE0000000000FE0 000000001FF0000000001FF0000000003FF8000000003FF8000000003FF80000000073FC000000 0073FC00000000F3FE00000000E1FE00000001E1FF00000001C0FF00000001C0FF00000003C0FF 80000003807F80000007807FC0000007003FC0000007003FC000000E001FE000000E001FE00000 1E001FF000001C000FF000001FFFFFF000003FFFFFF800003FFFFFF80000780007FC0000700003 FC0000F00003FE0000E00001FE0000E00001FE0001E00001FF0001C00000FF0003C00000FF80FF FE001FFFFEFFFE001FFFFEFFFE001FFFFE2F297EA834>65 D<FFFFFFFC0000FFFFFFFF8000FFFF FFFFC00003F8001FF00003F8000FF80003F80007FC0003F80003FC0003F80003FC0003F80003FE 0003F80001FE0003F80001FE0003F80001FE0003F80003FE0003F80003FC0003F80003FC0003F8 0007F80003F8000FF00003F8001FE00003F800FFC00003FFFFFE000003FFFFFFE00003F80007F0 0003F80003FC0003F80001FE0003F80001FE0003F80000FF0003F80000FF0003F80000FF8003F8 0000FF8003F80000FF8003F80000FF8003F80000FF8003F80000FF8003F80000FF0003F80001FF 0003F80003FE0003F80007FC0003F8001FF800FFFFFFFFF000FFFFFFFFC000FFFFFFFE00002929 7DA831>I<00003FF001800003FFFE0380000FFFFF8780003FF007DF8000FF8001FF8001FE0000 7F8003FC00003F8007F000001F800FF000000F801FE0000007801FE0000007803FC0000007803F C0000003807FC0000003807F80000003807F8000000000FF8000000000FF8000000000FF800000 0000FF8000000000FF8000000000FF8000000000FF8000000000FF8000000000FF80000000007F 80000000007F80000000007FC0000003803FC0000003803FC0000003801FE0000003801FE00000 07000FF00000070007F000000E0003FC00001E0001FE00003C0000FF8000F800003FF007E00000 0FFFFFC0000003FFFF000000003FF8000029297CA832>I<FFFFFFF80000FFFFFFFF8000FFFFFF FFE00003FC001FF80003FC0007FC0003FC0001FE0003FC0000FF0003FC00007F8003FC00003FC0 03FC00001FC003FC00001FE003FC00001FE003FC00000FF003FC00000FF003FC00000FF003FC00 000FF003FC00000FF803FC00000FF803FC00000FF803FC00000FF803FC00000FF803FC00000FF8 03FC00000FF803FC00000FF803FC00000FF803FC00000FF803FC00000FF003FC00000FF003FC00 000FF003FC00001FE003FC00001FE003FC00001FC003FC00003FC003FC00007F8003FC00007F00 03FC0001FE0003FC0003FC0003FC001FF800FFFFFFFFE000FFFFFFFF8000FFFFFFFC00002D297D A835>I<FFFFF01FFFFEFFFFF01FFFFEFFFFF01FFFFE03FC00007F8003FC00007F8003FC00007F 8003FC00007F8003FC00007F8003FC00007F8003FC00007F8003FC00007F8003FC00007F8003FC 00007F8003FC00007F8003FC00007F8003FC00007F8003FC00007F8003FC00007F8003FFFFFFFF 8003FFFFFFFF8003FFFFFFFF8003FC00007F8003FC00007F8003FC00007F8003FC00007F8003FC 00007F8003FC00007F8003FC00007F8003FC00007F8003FC00007F8003FC00007F8003FC00007F 8003FC00007F8003FC00007F8003FC00007F8003FC00007F8003FC00007F8003FC00007F80FFFF F01FFFFEFFFFF01FFFFEFFFFF01FFFFE2F297DA836>72 D<FFFFFC0000FFFFFC0000FFFFFC0000 03FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC0000 0003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00 000003FC00000003FC00000003FC00000003FC00000003FC00000003FC0000E003FC0000E003FC 0000E003FC0000E003FC0001E003FC0001C003FC0001C003FC0003C003FC0003C003FC0007C003 FC0007C003FC000FC003FC003FC003FC00FF80FFFFFFFF80FFFFFFFF80FFFFFFFF8023297EA829 >76 D<FFFC0000FFFEFFFE0000FFFEFFFF0000FFFE03FF8000038003FF8000038003BFC0000380 039FE0000380039FF0000380038FF80003800387F80003800383FC0003800381FE0003800381FF 0003800380FF80038003807FC0038003803FC0038003801FE0038003800FF0038003800FF80380 038007FC0380038003FC0380038001FE0380038000FF0380038000FF83800380007FC380038000 3FE3800380001FE3800380000FF38003800007FB8003800007FF8003800003FF8003800001FF80 03800000FF80038000007F80038000007F80038000003F80038000001F80038000000F80FFFE00 000780FFFE00000380FFFE000003802F297DA836>78 D<FFFFFFF800FFFFFFFF00FFFFFFFFC003 FC003FE003FC000FF003FC0007F803FC0007FC03FC0003FC03FC0003FE03FC0003FE03FC0003FE 03FC0003FE03FC0003FE03FC0003FE03FC0003FE03FC0003FC03FC0007FC03FC0007F803FC000F F003FC003FE003FFFFFF8003FFFFFE0003FC00000003FC00000003FC00000003FC00000003FC00 000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC00000003FC 00000003FC00000003FC00000003FC000000FFFFF00000FFFFF00000FFFFF0000027297DA82F> 80 D<FFFFFFE00000FFFFFFFE0000FFFFFFFF800003FC007FE00003FC000FF00003FC0007F800 03FC0007FC0003FC0003FC0003FC0003FE0003FC0003FE0003FC0003FE0003FC0003FE0003FC00 03FE0003FC0003FE0003FC0003FC0003FC0007F80003FC0007F80003FC001FE00003FC007FC000 03FFFFFE000003FFFFF8000003FC00FC000003FC007F000003FC003F800003FC003F800003FC00 1FC00003FC001FE00003FC001FE00003FC001FE00003FC001FE00003FC001FE00003FC001FF000 03FC001FF00003FC001FF00003FC001FF00703FC001FF80703FC000FF80703FC0007F80EFFFFF0
03FE1CFFFFF001FFF8FFFFF0003FF030297DA834>82 D<7FFFFFFFFFC07FFFFFFFFFC07FFFFFFF FFC07F803FC03FC07E003FC007C078003FC003C078003FC003C070003FC001C0F0003FC001E0F0 003FC001E0E0003FC000E0E0003FC000E0E0003FC000E0E0003FC000E0E0003FC000E000003FC0 000000003FC0000000003FC0000000003FC0000000003FC0000000003FC0000000003FC0000000 003FC0000000003FC0000000003FC0000000003FC0000000003FC0000000003FC0000000003FC0 000000003FC0000000003FC0000000003FC0000000003FC0000000003FC0000000003FC0000000 003FC0000000003FC00000007FFFFFE000007FFFFFE000007FFFFFE0002B287EA730>84 D<FFFFF0003FFF80FFFFF0003FFF80FFFFF0003FFF8003FE000001E00001FE000001C00001FF00 0001C00000FF000003800000FF000003800000FF8000078000007F8000070000007FC0000F0000 003FC0000E0000003FE0001E0000001FE0001C0000001FF0001C0000000FF000380000000FF000 380000000FF8007800000007F8007000000007FC00F000000003FC00E000000003FE01E0000000 01FE01C000000001FF01C000000000FF038000000000FF038000000000FF8780000000007F8700 000000007FCF00000000003FCE00000000003FEE00000000001FFC00000000001FFC0000000000 0FF800000000000FF800000000000FF8000000000007F0000000000007F0000000000003E00000 00000003E0000000000001C000000031297FA834>86 D<03FF80000FFFF0001F01F8003F807E00 3F807E003F803F001F003F800E003F8000003F8000003F8000003F80000FFF8000FFFF8007FC3F 800FE03F803F803F803F003F807F003F80FE003F80FE003F80FE003F80FE003F807E007F807F00 DF803F839FFC0FFF0FFC01FC03FC1E1B7E9A21>97 D<FFE0000000FFE0000000FFE00000000FE0 0000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000F E00000000FE00000000FE00000000FE00000000FE1FE00000FE7FF80000FFE07E0000FF801F000 0FF000F8000FE000FC000FE000FE000FE0007F000FE0007F000FE0007F000FE0007F800FE0007F 800FE0007F800FE0007F800FE0007F800FE0007F800FE0007F800FE0007F000FE0007F000FE000 7F000FE000FE000FE000FC000FF001F8000FF803F0000F9E0FE0000F0FFF80000E01FC0000212A 7EA926>I<003FF80000FFFE0003F01F0007E03F800FC03F801F803F803F801F007F000E007F00 00007F000000FF000000FF000000FF000000FF000000FF000000FF000000FF0000007F0000007F 0000007F8000003F8001C01F8001C00FC0038007E0070003F01E0000FFFC00003FE0001A1B7E9A 1F>I<00003FF80000003FF80000003FF800000003F800000003F800000003F800000003F80000 0003F800000003F800000003F800000003F800000003F800000003F800000003F800000003F800 001FE3F80000FFFBF80003F83FF80007E00FF8000FC007F8001F8003F8003F8003F8007F0003F8 007F0003F8007F0003F800FF0003F800FF0003F800FF0003F800FF0003F800FF0003F800FF0003 F800FF0003F8007F0003F8007F0003F8007F0003F8003F8003F8001F8003F8000F8007F80007C0 0FF80003F03FFF8000FFF3FF80003FC3FF80212A7EA926>I<003FE00001FFF80003F07E0007C0 1F000F801F801F800F803F800FC07F000FC07F0007C07F0007E0FF0007E0FF0007E0FFFFFFE0FF FFFFE0FF000000FF000000FF0000007F0000007F0000007F0000003F8000E01F8000E00FC001C0 07E0038003F81F0000FFFE00001FF0001B1B7E9A20>I<0007F0003FFC00FE3E01F87F03F87F03 F07F07F07F07F03E07F00007F00007F00007F00007F00007F00007F000FFFFC0FFFFC0FFFFC007 F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007 F00007F00007F00007F00007F00007F00007F00007F0007FFF807FFF807FFF80182A7EA915>I< 00FF81F003FFE7F80FC1FE7C1F80FC7C1F007C383F007E107F007F007F007F007F007F007F007F 007F007F007F007F003F007E001F007C001F80FC000FC1F8001FFFE00018FF8000380000003800 00003C0000003E0000003FFFF8001FFFFF001FFFFF800FFFFFC007FFFFE01FFFFFF03C0007F07C 0001F8F80000F8F80000F8F80000F8F80000F87C0001F03C0001E01F0007C00FC01F8003FFFE00 007FF0001E287E9A22>I<FFE0000000FFE0000000FFE00000000FE00000000FE00000000FE000 00000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0 0000000FE00000000FE07F00000FE1FFC0000FE787E0000FEE03F0000FF803F0000FF803F8000F F003F8000FF003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F800 0FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8 000FE003F8000FE003F800FFFE3FFF80FFFE3FFF80FFFE3FFF80212A7DA926>I<07000F801FC0 3FE03FE03FE01FC00F8007000000000000000000000000000000FFE0FFE0FFE00FE00FE00FE00F E00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE0FFFEFFFE FFFE0F2B7DAA14>I<FFE00000FFE00000FFE000000FE000000FE000000FE000000FE000000FE0 00000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE01FFC0FE01FFC0F E01FFC0FE007800FE00F000FE01E000FE03C000FE078000FE0E0000FE3C0000FE7C0000FEFE000 0FFFE0000FFFF0000FF3F8000FE3F8000FC1FC000FC0FE000FC07F000FC07F000FC03F800FC01F C00FC00FC00FC00FE0FFFC3FFEFFFC3FFEFFFC3FFE1F2A7EA924>107 D<FFE0FFE0FFE00FE00F E00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE0 0FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE0FFFEFFFEFFFE0F2A7D A914>I<FFC07F800FF000FFC1FFE03FFC00FFC383F0707E000FC603F8C07F000FCC01F9803F00 0FD801FF003F800FF001FE003F800FF001FE003F800FE001FC003F800FE001FC003F800FE001FC
003F800FE001FC003F800FE001FC003F800FE001FC003F800FE001FC003F800FE001FC003F800F E001FC003F800FE001FC003F800FE001FC003F800FE001FC003F800FE001FC003F800FE001FC00 3F800FE001FC003F800FE001FC003F80FFFE1FFFC3FFF8FFFE1FFFC3FFF8FFFE1FFFC3FFF8351B 7D9A3A>I<FFC07F0000FFC1FFC000FFC787E0000FCE03F0000FD803F0000FD803F8000FF003F8 000FF003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003 F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE0 03F8000FE003F800FFFE3FFF80FFFE3FFF80FFFE3FFF80211B7D9A26>I<003FE00001FFFC0003 F07E000FC01F801F800FC03F800FE03F0007E07F0007F07F0007F07F0007F0FF0007F8FF0007F8 FF0007F8FF0007F8FF0007F8FF0007F8FF0007F8FF0007F87F0007F07F0007F03F800FE03F800F E01F800FC00FC01F8007F07F0001FFFC00003FE0001D1B7E9A22>I<FFE1FE0000FFE7FF8000FF FE07E0000FF803F0000FF001F8000FE000FC000FE000FE000FE000FF000FE0007F000FE0007F00 0FE0007F800FE0007F800FE0007F800FE0007F800FE0007F800FE0007F800FE0007F800FE0007F 000FE000FF000FE000FF000FE000FE000FE001FC000FF001F8000FF803F0000FFE0FE0000FEFFF 80000FE1FC00000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0 0000000FE00000000FE0000000FFFE000000FFFE000000FFFE00000021277E9A26>I<FFC1F0FF C7FCFFCE3E0FD87F0FD87F0FF07F0FF03E0FF01C0FE0000FE0000FE0000FE0000FE0000FE0000F E0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE000FFFF00FFFF00FFFF0018 1B7E9A1C>114 D<03FE300FFFF01E03F03800F0700070F00070F00070F80070FE0000FFE0007F FE007FFF803FFFE01FFFF007FFF800FFF80007FC6000FCE0007CE0003CF0003CF00038F80038FC 0070FF01E0F7FFC0C1FF00161B7E9A1B>I<00700000700000700000700000F00000F00000F000 01F00003F00003F00007F0001FFFF0FFFFF0FFFFF007F00007F00007F00007F00007F00007F000 07F00007F00007F00007F00007F00007F00007F00007F03807F03807F03807F03807F03807F038 03F03803F87001F86000FFC0001F8015267FA51B>I<FFE03FF800FFE03FF800FFE03FF8000FE0 03F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000F E003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F8000FE003F800 0FE003F8000FE003F8000FE007F80007E007F80007E00FF80003F03BFF8001FFF3FF80003FC3FF 80211B7D9A26>I<FFFE03FF80FFFE03FF80FFFE03FF800FF000780007F000700007F800F00003 F800E00003FC01E00001FC01C00001FC01C00000FE03800000FE03800000FF078000007F070000 007F8F0000003F8E0000003FCE0000001FDC0000001FDC0000000FF80000000FF80000000FF800 000007F000000007F000000003E000000003E000000001C00000211B7F9A24>I<FFFE03FF80FF FE03FF80FFFE03FF800FF000780007F000700007F800F00003F800E00003FC01E00001FC01C000 01FC01C00000FE03800000FE03800000FF078000007F070000007F8F0000003F8E0000003FCE00 00001FDC0000001FDC0000000FF80000000FF80000000FF800000007F000000007F000000003E0 00000003E000000001C000000001C000000003800000000380000038078000007C07000000FE0F 000000FE0E000000FE1C000000FE3C0000007C780000003FE00000000F8000000021277F9A24> 121 D E end %%EndProlog %%BeginSetup %%Feature: *Resolution 300dpi TeXDict begin %%EndSetup %%Page: 117 1 117 0 bop 150 718 a Fl(Chapter)34 b(8)150 941 y Fq(Computational)42 b(Learning)150 1065 y(Theory)150 1296 y Fs(In)15 b(c)o(hapter)h(one)f(w)o(e)g (p)q(osed)g(the)g(problem)f(of)g(guessing)h(a)g(function)f(giv)o(en)g(a)h (set)h(of)150 1346 y(sample)d(inputs)h(and)g(their)g(v)n(alues.)k(W)m(e)c(ga) o(v)o(e)f(some)h(in)o(tuitiv)o(e)f(argumen)o(ts)g(to)h(sup-)150 1396 y(p)q(ort)f(the)h(claim)d(that)i(after)h(seeing)f(only)g(a)g(small)d (fraction)j(of)g(the)g(p)q(ossible)h(inputs)150 1446 y(\(and)h(their)h(v)n (alues\))f(that)h(w)o(e)f(could)g(guess)i Fn(almost)e(c)n(orr)n(e)n(ctly)f Fs(the)i(v)n(alues)f(of)g Fn(most)150 1495 y Fs(subsequen)o(t)j(inputs|if)d (w)o(e)i(knew)f(that)h(the)f(function)g(w)o(e)h(w)o(ere)g(trying)f(to)g (guess)150 1545 y(b)q(elonged)11 b(to)g(an)f(appropriately)h(restricted)i (subset)f(of)e(functions.)17 b(That)11 b(is,)g(a)f(giv)o(en)150 1595 y(training)15 b(set)i(of)f(sample)f(patterns)i(migh)o(t)e(b)q(e)h (adequate)h(to)f(allo)o(w)f(us)i(to)f(select)h(a)150 1645 y(function,)f Fn(c)n(onsistent)h(with)g(the)g(lab)n(ele)n(d)g(samples)p Fs(,)f(from)f (among)f(a)i(restricted)i(set)150 1695 y(of)g(h)o(yp)q(otheses)i(suc)o(h)f
(that)f(with)g(high)g Fn(pr)n(ob)n(ability)f Fs(the)i(function)f(w)o(e)h (select)g(will)150 1745 y(b)q(e)f Fn(appr)n(oximately)h(c)n(orr)n(e)n(ct)e Fs(\(small)e(probabilit)o(y)h(of)i(error\))g(on)g(subsequen)o(t)h(sam-)150 1794 y(ples)e(dra)o(wn)f(at)g(random)f(according)h(to)h(the)f Fn(same)i(distribution)e Fs(from)e(whic)o(h)i(the)150 1844 y(lab)q(eled)e(samples)f(w)o(ere)i(dra)o(wn.)j(This)c(insigh)o(t)f(led)h(to)g (the)g(theory)h(of)e Fn(pr)n(ob)n(ably)i(ap-)150 1894 y(pr)n(oximately)i(c)n (orr)n(e)n(ct)g(\(P)m(A)o(C\))f Fs(learning|initially)e(dev)o(elop)q(ed)k(b)o (y)e(Leslie)i(V)m(alian)o(t)150 1944 y([V)m(alian)o(t,)11 b(1984)o(].)16 b(W)m(e)9 b(presen)o(t)j(here)e(a)g(brief)f(description)h(of)f(the)h(theory)h (for)e(the)h(case)150 1994 y(of)22 b(Bo)q(olean)g(functions.)44 b([Dietteric)o(h,)14 b(1990)o(,)22 b(Haussler,)14 b(1988)o(,)22 b(Haussler,)14 b(1990)o(])150 2043 y(giv)o(e)f(nice)i(surv)o(eys)g(of)e(the)h (imp)q(ortan)o(t)f(results.)617 b Fm(Other)1529 2077 y(o)o(v)o(erviews?)150 2202 y Fv(8.1)70 b(Notation)51 b(and)i(Assumptions)e(for)h(P)-6 b(A)n(C)307 2277 y(Learning)23 b(Theory)150 2384 y Fs(W)m(e)11 b(assume)g(a)g(training)f(set)i(\004)f(of)g(n-dimensional)d(v)o(ectors,)13 b Ft(X)1141 2390 y Fo(i)1155 2384 y Fs(,)e Fp(i)h Fs(=)g(1)p Fp(;)7 b(:)g(:)g(:)t(;)g(m)p Fs(,)k(eac)o(h)150 2434 y(lab)q(eled)j(\(b)o(y)g (1)g(or)g(0\))g(according)h(to)f(a)f(target)i(function,)f Fp(f)t Fs(,)g(whic)o(h)g(is)g(unkno)o(wn)g(to)794 2539 y(117)p eop %%Page: 118 2 118 1 bop 450 275 a Fs(118)187 b Fk(CHAPTER)14 b(8.)31 b(COMPUT)m(A)m(TIONAL) 15 b(LEARNING)e(THEOR)m(Y)450 391 y Fs(the)e(learner.)18 b(The)11 b(probabilit)o(y)e(of)h(an)o(y)h(giv)o(en)f(v)o(ector)h Ft(X)g Fs(b)q(eing)g(in)f(\004,)h(or)f(later)h(b)q(eing)450 441 y(presen)o(ted)17 b(to)d(the)h(learner,)g(is)f Fp(P)6 b Fs(\()p Ft(X)p Fs(\).)19 b(The)c(probabilit)o(y)e(distribution,)g Fp(P)6 b Fs(,)14 b(can)g(b)q(e)450 491 y(arbitrary)m(.)20 b(\(In)15 b(the)g(literature)g(of)f(P)m(A)o(C)h (learning)f(theory)m(,)g(the)i(target)f(function)f(is)450 541 y(usually)g(called)g(the)h(target)g Fn(c)n(onc)n(ept)g Fs(and)f(is)g(denoted) i(b)o(y)e Fp(c)p Fs(,)g(but)g(to)h(b)q(e)g(consisten)o(t)450 591 y(with)10 b(our)g(previous)h(notation)f(w)o(e)g(will)f(con)o(tin)o(ue)i (to)f(denote)h(it)f(b)o(y)h Fp(f)t Fs(.\))17 b(Our)11 b(problem)450 640 y(is)16 b(to)g(guess)h(a)f(function,)g Fp(h)p Fs(\()p Ft(X)p Fs(\),)h(based)g(on)f(the)g(lab)q(eled)g(samples)g(in)f(\004.)25 b(In)16 b(P)m(A)o(C)450 690 y(theory)c(suc)o(h)g(a)f(guessed)i(function)e(is) h(called)f(the)h Fn(hyp)n(othesis)p Fs(.)18 b(W)m(e)11 b(assume)g(that)g(the) 450 740 y(target)g(function)f(is)g(some)f(elemen)o(t)h(of)g(a)g(set)h(of)f (functions,)g Fr(C)r Fs(.)17 b(W)m(e)10 b(also)g(assume)g(that)450 790 y(the)15 b(h)o(yp)q(othesis,)g Fp(h)p Fs(,)f(is)g(an)g(elemen)o(t)g(of)f (a)i(set,)f Fr(H)p Fs(,)h(of)f(h)o(yp)q(otheses,)h(whic)o(h)f(includes)450 840 y(the)g(set,)h Fr(C)r Fs(,)e(of)h(target)g(functions.)k Fr(H)c Fs(is)g(called)g(the)g Fn(hyp)n(othesis)i(sp)n(ac)n(e)p Fs(.)512 901 y(In)j(general,)h Fp(h)f Fs(w)o(on't)f(b)q(e)i(iden)o(tical)e (to)h Fp(f)t Fs(,)i(but)e(w)o(e)g(can)g(striv)o(e)h(to)f(ha)o(v)o(e)f(the)450 950 y(v)n(alue)e(of)h Fp(h)p Fs(\()p Ft(X)p Fs(\))g(=)h(the)f(v)n(alue)g(of)f Fp(f)t Fs(\()p Ft(X)p Fs(\))i(for)f Fn(most)g Ft(X)p Fs('s.)28 b(That)17 b(is,)g(w)o(e)g(w)o(an)o(t)g Fp(h)g Fs(to)450 1000 y(b)q(e)c Fn(appr)n(oximately)g Fs(correct.)20 b(T)m(o)12 b(quan)o(tify)f (this)i(notion,)f(w)o(e)h(de\014ne)h(the)f Fn(err)n(or)e Fs(of)i Fp(h)p Fs(,)450 1050 y Fp(")469 1056 y Fo(h)491 1050 y Fs(,)k(as)f(the)h (probabilit)o(y)e(that)i(an)f Ft(X)h Fs(dra)o(wn)f(randomly)e(according)j(to) f Fp(P)22 b Fs(will)15 b(b)q(e)450 1100 y(misclassi\014ed:)897 1199 y Fp(")916 1205 y Fo(h)949 1199 y Fs(=)1089 1160 y Fe(X)993 1258 y Fm([)p Ft(X)p Fm(:)p Fo(h)p Fm(\()p Ft(X)p Fm(\))p Fd(6)p Fm(=)p Fo(f)s Fm(\()p Ft(X)p Fm(\)])1253 1199 y Fp(P)6 b Fs(\()p Ft(X)p Fs(\))196 1307 y Fm(Boldface)196 1341 y(sym)o(b)q(ols)12 b(need)196 1374 y(to)f(b)q(e)g(smaller)196 1407 y(when)g(they)h(are)196
1440 y(subscripts)h(in)196 1473 y(math)196 1507 y(en)o(vironmen)o(ts.)450 1354 y Fs(W)m(e)h(sa)o(y)g(that)g Fp(h)g Fs(is)g Fn(appr)n(oximately)g Fs(\(except)i(for)d Fp(")i Fs(\))f Fn(c)n(orr)n(e)n(ct)f Fs(if)g Fp(")1495 1360 y Fo(h)1529 1354 y Fr(\024)f Fp(")p Fs(,)i(where)i Fp(")e Fs(is)450 1404 y(the)g Fn(ac)n(cur)n(acy)i(p)n(ar)n(ameter)p Fs(.)512 1465 y(Supp)q(ose)g(w)o(e)f(are)h(able)f(to)f(\014nd)i(an)e Fp(h)h Fs(that)g(classi\014es)h Fn(al)r(l)f Fp(m)g Fs(randomly)e(dra)o(wn)450 1515 y(training)i(samples)h(correctly;)i(that)e(is,)h Fp(h)f Fs(is)g(consisten)o(t)i(with)e(this)g(randomly)e(se-)450 1564 y(lected)e(training)f(set,)h(\004.)17 b(If)10 b Fp(m)i Fs(is)f(large)g (enough,)h(will)d(suc)o(h)j(an)f Fp(h)h Fs(b)q(e)f(appro)o(ximately)450 1614 y(correct)19 b(\(and)f(for)f(what)g(v)n(alue)g(of)g Fp(")p Fs(\)?)29 b(On)18 b(some)e(training)h(o)q(ccasions,)h(using)g Fp(m)450 1664 y Fs(randomly)11 b(dra)o(wn)j(training)e(samples,)g(suc)o(h)j (an)e Fp(h)g Fs(migh)o(t)f(turn)i(out)f(to)g(b)q(e)i(appro)o(x-)450 1714 y(imately)10 b(correct)15 b(\(for)d(a)g(giv)o(en)h(v)n(alue)f(of)f Fp(")p Fs(\),)i(and)g(on)f(others)i(it)e(migh)o(t)e(not.)18 b(W)m(e)12 b(sa)o(y)450 1764 y(that)i Fp(h)g Fs(is)f Fn(pr)n(ob)n(ably)h Fs(\(except)h(for)f Fp(\016)r Fs(\))g Fn(appr)n(oximately)h(c)n(orr)n(e)n(ct) f(\(P)m(A)o(C\))f Fs(if)g(the)h(proba-)450 1813 y(bilit)o(y)f(that)h(it)g(is) g(appro)o(ximately)e(correct)k(is)f(greater)g(than)f(1)c Fr(\000)f Fp(\016)r Fs(,)14 b(where)i Fp(\016)g Fs(is)e(the)450 1863 y Fn(c)n(on\014denc)n(e)i(p)n(ar)n(ameter)p Fs(.)h(W)m(e)c(shall)f(sho)o(w)h (that)h(if)e Fp(m)i Fs(is)f(greater)h(than)f(some)g(b)q(ound)450 1913 y(whose)k(v)n(alue)e(dep)q(ends)j(on)e Fp(")g Fs(and)g Fp(\016)r Fs(,)g(suc)o(h)h(an)f Fp(h)f Fs(is)h(guaran)o(teed)h(to)f(b)q(e)h (probably)450 1963 y(appro)o(ximately)11 b(correct.)512 2024 y(In)i(general,)g(w)o(e)h(sa)o(y)f(that)g(a)g(learning)f(algorithm)f Fn(P)m(A)o(C-le)n(arns)h Fs(functions)h(from)450 2074 y Fr(C)18 b Fs(in)d(terms)g(of)g Fr(H)h Fs(i\013)f(for)g(ev)o(ery)h(function)g Fp(f)t(\017)g Fr(C)r Fs(,)f(it)g(outputs)h(a)g(h)o(yp)q(othesis)g Fp(h\017)f Fr(H)p Fs(,)450 2124 y(suc)o(h)i(that)g(with)f(probabilit)o(y)f (at)i(least)g(\(1)11 b Fr(\000)g Fp(\016)r Fs(\),)17 b Fp(")1280 2130 y Fo(h)1318 2124 y Fr(\024)g Fp(")p Fs(.)26 b(Suc)o(h)17 b(a)g(h)o(yp)q(othesis)g(is)450 2173 y(called)d Fn(pr)n(ob)n(ably)f Fs(\(except)j(for)d Fp(\016)r Fs(\))h Fn(appr)n(oximately)g Fs(\(except)i(for)d Fp(")p Fs(\))h Fn(c)n(orr)n(e)n(ct)p Fs(.)512 2234 y(W)m(e)c(w)o(an)o(t)f(learning)h(algorithms)d(that)j(are)h(tractable,)f (so)g(w)o(e)g(w)o(an)o(t)g(an)g(algorithm)450 2284 y(that)16 b(P)m(A)o(C-learns)f(functions)h(in)f(p)q(olynomial)d(time.)21 b(This)16 b(can)g(only)e(b)q(e)i(done)g(for)450 2334 y(certain)h(classes)h (of)d(functions.)26 b(If)16 b(there)i(are)e(a)g(\014nite)h(n)o(um)o(b)q(er)f (of)f(h)o(yp)q(otheses)j(in)450 2384 y(a)i(h)o(yp)q(othesis)g(set)h(\(as)f (there)i(are)e(for)g(man)o(y)e(of)h(the)i(h)o(yp)q(othesis)g(sets)g(w)o(e)f (ha)o(v)o(e)450 2434 y(considered\),)j(w)o(e)d(could)g(alw)o(a)o(ys)g(pro)q (duce)h(a)f(consisten)o(t)h(h)o(yp)q(othesis)g(from)e(this)450 2539 y Fj(Intr)n(o)n(duction)14 b(to)k(Machine)e(L)n(e)n(arning)1057 2538 y Fi(c)1046 2539 y Fh(\015)q Fi(1996)i(Nils)h(J.)e(Nilsson.)32 b(All)19 b(righ)o(ts)f(reserv)o(ed.)p eop %%Page: 119 3 119 2 bop 150 275 a Fk(8.2.)31 b(P)m(A)o(C)13 b(LEARNING)867 b Fs(119)150 391 y(set)18 b(b)o(y)g(testing)g(all)e(of)h(them)g(against)f (the)j(training)d(data.)29 b(But)18 b(if)e(there)j(are)f(an)150 441 y(exp)q(onen)o(tial)d(n)o(um)o(b)q(er)f(of)h(h)o(yp)q(otheses,)h(that)g (w)o(ould)e(tak)o(e)h(exp)q(onen)o(tial)g(time.)20 b(W)m(e)150 491 y(seek)13 b(training)d(metho)q(ds)h(that)g(pro)q(duce)i(consisten)o(t)g (h)o(yp)q(otheses)g(in)e(less)h(time.)k(The)150 541 y(time)h(complexities)f (for)i(v)n(arious)f(h)o(yp)q(othesis)i(sets)g(ha)o(v)o(e)f(b)q(een)i (determined,)e(and)150 591 y(these)d(are)g(summarized)d(in)h(a)h(table)f(to)h
(b)q(e)h(presen)o(ted)h(later.)212 649 y(A)f(class,)f Fr(C)r Fs(,)g(is)g Fn(p)n(olynomial)r(ly)h(P)m(A)o(C)g(le)n(arnable)f Fs(in)f(terms)h(of)g Fr(H)h Fs(pro)o(vided)f(there)150 699 y(exists)i(a)e(p)q(olynomial-)o(tim)o(e)e(learning)i(algorithm)e(\(p)q (olynomial)g(in)i(the)h(n)o(um)o(b)q(er)g(of)150 748 y(samples)9 b(needed,)j Fp(m)p Fs(,)f(in)f(the)g(dimension,)f Fp(n)p Fs(,)h(in)g(1)p Fp(=")p Fs(,)g(and)g(in)g(1)p Fp(=\016)r Fs(\))g(that)g(P)m(A)o(C-learns)150 798 y(functions)k(in)f Fr(C)k Fs(in)c(terms)h(of)f Fr(H)p Fs(.)212 856 y(Initial)g(w)o(ork)g(on)h(P)m(A)o(C)f(assumed)h Fr(H)e Fs(=)f Fr(C)r Fs(,)j(but)g(it)f(w)o(as)h(later)g(sho)o(wn)g(that)g(some)150 906 y(functions)h(cannot)h(b)q(e)g(p)q(olynomiall)o(y)c(P)m(A)o(C-learned)k (under)g(suc)o(h)g(an)f(assumption)150 956 y(\(assuming)d(P)h Fr(6)p Fs(=)g(NP\)|but)g Fn(c)n(an)h Fs(b)q(e)g(p)q(olynomial)o(ly)c(P)m(A)o (C-learned)j(if)f Fr(H)h Fs(is)g(a)g(strict)150 1006 y(sup)q(erset)h(of)d Fr(C)r Fs(!)18 b(Also)11 b(our)h(de\014nition)f(do)q(es)i(not)f(sp)q(ecify)g (the)g(distribution,)g Fp(P)6 b Fs(,)11 b(from)150 1056 y(whic)o(h)j (patterns)h(are)f(dra)o(wn)g(nor)g(do)q(es)g(it)g(sa)o(y)f(an)o(ything)g(ab)q (out)h(the)g(prop)q(erties)i(of)150 1105 y(the)d(learning)f(algorithm.)j (Since)e Fr(C)h Fs(and)f Fr(H)g Fs(do)f(not)g(ha)o(v)o(e)g(to)h(b)q(e)g(iden) o(tical,)e(w)o(e)i(ha)o(v)o(e)150 1155 y(the)h(further)h(restrictiv)o(e)g (de\014nition:)212 1213 y(A)k Fn(pr)n(op)n(erly)f(P)m(A)o(C-le)n(arnable)g Fs(class)h(is)f(a)g(class)h Fr(C)i Fs(for)d(whic)o(h)g(there)i(exists)f(an) 150 1263 y(algorithm)11 b(that)j(p)q(olynomiall)o(y)d(P)m(A)o(C-learns)j (functions)g(from)e Fr(C)k Fs(in)e(terms)f(of)g Fr(C)r Fs(.)150 1407 y Fv(8.2)70 b(P)-6 b(A)n(C)22 b(Learning)150 1514 y Fu(8.2.1)55 b(The)19 b(F)-5 b(undamen)n(tal)18 b(Theorem)150 1599 y Fs(Supp)q(ose)13 b(our)f(learning)f(algorithm)f(selects)j(some)e Fp(h)h Fs(randomly)e(from)g (among)g(those)150 1649 y(that)16 b(are)h(consisten)o(t)g(with)f(the)h(v)n (alues)f(of)f Fp(f)21 b Fs(on)16 b(the)h Fp(m)f Fs(training)f(patterns.)27 b(The)150 1699 y(probabilit)o(y)12 b(that)j(the)f(error)h(of)f(this)g (randomly)e(selected)k Fp(h)e Fs(is)g Fn(gr)n(e)n(ater)f Fs(than)h(some)150 1749 y Fp(")p Fs(,)h(with)g Fp(h)g Fs(consisten)o(t)i(with)e(the)g(v)n(alues) g(of)g Fp(f)t Fs(\()p Ft(X)p Fs(\))h(for)f Fp(m)h Fs(instances)g(of)f Ft(X)g Fs(\(dra)o(wn)150 1799 y(according)i(to)f(arbitrary)h Fp(P)6 b Fs(\),)17 b(is)f(less)i(than)e(or)h(equal)f(to)h Fr(jHj)p Fp(e)1172 1783 y Fd(\000)p Fo("m)1245 1799 y Fs(,)g(where)h Fr(jHj)e Fs(is)150 1848 y(the)d(n)o(um)o(b)q(er)f(of)f(h)o(yp)q(otheses)j(in) e Fr(H)p Fs(.)18 b(W)m(e)12 b(state)h(this)g(result)g(as)g(a)f(theorem)g ([Blumer,)150 1898 y Fn(et)j(al.)p Fs(,)e(1987]:)150 1987 y Ft(Theorem)i(8.1)h(\(Blumer,)d Fn(et)i(al.)p Ft(\))20 b Fn(L)n(et)f Fr(H)g Fn(b)n(e)h(any)f(set)g(of)g(hyp)n(otheses,)i Fs(\004)e Fn(b)n(e)g(a)150 2037 y(set)h(of)g Fp(m)i Fr(\025)f Fs(1)f Fn(tr)n(aining)g(examples)h(dr)n(awn)f(indep)n(endently)h(ac)n(c)n(or)n(ding) g(to)f(some)150 2087 y(distribution)14 b Fp(P)6 b Fn(,)13 b Fp(f)19 b Fn(b)n(e)14 b(any)h(classi\014c)n(ation)f(function)h(in)f Fr(H)p Fn(,)h(and)f Fp(")e(>)g Fs(0)p Fn(.)19 b(Then,)14 b(the)150 2137 y(pr)n(ob)n(ability)d(that)g(ther)n(e)g(exists)h(a)f(hyp)n(othesis)h Fp(h)g Fn(c)n(onsistent)g(with)f Fp(f)16 b Fn(for)11 b(the)g(memb)n(ers)150 2187 y(of)k Fs(\004)f Fn(but)h(with)g(err)n(or)e(gr)n(e)n(ater)h(than)h Fp(")h Fn(is)e(at)h(most)g Fr(jHj)p Fp(e)1047 2172 y Fd(\000)p Fo("m)1120 2187 y Fn(.)150 2276 y Fs(Pro)q(of:)212 2334 y(Consider)f(the)g (set)g(of)e(all)g(h)o(yp)q(otheses,)j Fr(f)p Fp(h)891 2340 y Fm(1)909 2334 y Fp(;)7 b(h)952 2340 y Fm(2)970 2334 y Fp(;)g(:)g(:)g(:)e(;) i(h)1087 2340 y Fo(i)1100 2334 y Fp(;)g(:)g(:)g(:)e(;)i(h)1217 2340 y Fo(S)1240 2334 y Fr(g)p Fs(,)13 b(in)g Fr(H)p Fs(,)g(where)150 2384 y Fp(S)h Fs(=)e Fr(jHj)p Fs(.)17 b(The)c(error)g(for)f Fp(h)591 2390 y Fo(i)617 2384 y Fs(is)g Fp(")676 2390 y Fo(h)695 2394 y Fg(i)711 2384 y Fs(=)h(the)g(probabilit)o(y)d(that)j Fp(h)1149 2390 y Fo(i)1175 2384 y Fs(will)d(classify)i(a)g(pat-)150
2434 y(tern)j(in)e(error)h(\(that)g(is,)f(di\013eren)o(tly)h(than)g Fp(f)19 b Fs(w)o(ould)12 b(classify)i(it\).)j(The)e(probabilit)o(y)150 2539 y Fj(Intr)n(o)n(duction)f(to)k(Machine)e(L)n(e)n(arning)757 2538 y Fi(c)746 2539 y Fh(\015)q Fi(1996)i(Nils)h(J.)e(Nilsson.)32 b(All)19 b(righ)o(ts)f(reserv)o(ed.)p eop %%Page: 120 4 120 3 bop 450 275 a Fs(120)187 b Fk(CHAPTER)14 b(8.)31 b(COMPUT)m(A)m(TIONAL) 15 b(LEARNING)e(THEOR)m(Y)450 391 y Fs(that)f Fp(h)562 397 y Fo(i)588 391 y Fs(will)e(classify)i(a)g(pattern)h(correctly)g(is)f(\(1)6 b Fr(\000)g Fp(")1295 397 y Fo(h)1314 401 y Fg(i)1329 391 y Fs(\).)18 b(A)12 b(subset,)h Fr(H)1590 397 y Fo(B)1619 391 y Fs(,)f(of)f Fr(H)h Fs(will)450 441 y(ha)o(v)o(e)k(error)g(greater)h(than)f Fp(")p Fs(.)24 b(W)m(e)15 b(will)g(call)g(the)h(h)o(yp)q(otheses)i(in)d(this) h(subset)h Fn(b)n(ad)p Fs(.)450 491 y(The)g(probabilit)o(y)f(that)h(an)o(y)f (particular)h(one)g(of)g(these)h(bad)f(h)o(yp)q(otheses,)i(sa)o(y)e Fp(h)1772 497 y Fo(b)1788 491 y Fs(,)450 541 y(w)o(ould)10 b(classify)h(a)g(pattern)h(correctly)h(is)e(\(1)t Fr(\000)t Fp(")1191 547 y Fo(h)1210 551 y Fg(b)1228 541 y Fs(\).)17 b(Since)12 b Fp(")1398 547 y Fo(h)1417 551 y Fg(b)1446 541 y Fp(>)g(")p Fs(,)g(the)g(probabilit)o(y)450 591 y(that)i Fp(h)564 597 y Fo(b)595 591 y Fs(\(or)g(an)o(y)g(other)h(bad)f(h)o(yp)q(othesis\))h(w)o (ould)e(classify)h(a)g(pattern)h(correctly)g(is)450 640 y(less)d(than)g(\(1)5 b Fr(\000)g Fp(")p Fs(\).)17 b(The)12 b(probabilit)o(y)e(that)h(it)g(w)o (ould)g(classify)g Fn(al)r(l)g Fp(m)h Fs(indep)q(enden)o(tly)450 690 y(dra)o(wn)i(patterns)h(correctly)g(is)f(then)g(less)h(than)f(\(1)9 b Fr(\000)g Fp(")p Fs(\))1344 675 y Fo(m)1376 690 y Fs(.)512 753 y(That)14 b(is,)512 816 y(prob[)p Fp(h)631 822 y Fo(b)661 816 y Fs(classi\014es)h(all)e Fp(m)h Fs(patterns)h(correctly)g Fr(j)p Fp(h)1308 822 y Fo(b)1338 816 y Fp(\017)f Fr(H)1404 822 y Fo(B)1432 816 y Fs(])d Fr(\024)h Fs(\(1)d Fr(\000)h Fp(")p Fs(\))1622 800 y Fo(m)1654 816 y Fs(.)512 941 y(prob[)p Fn(some)k Fp(h)g(\017)f Fr(H)815 947 y Fo(B)858 941 y Fs(classi\014es)i(all)d Fp(m)j Fs(patterns)g(correctly])512 1004 y(=)563 972 y Fe(P)607 1016 y Fo(h)626 1020 y Fg(b)655 1016 y Fo(\017)f Fd(H)711 1020 y Fg(B)752 1004 y Fs(prob[)p Fp(h)871 1010 y Fo(b)901 1004 y Fs(classi\014es)h(all)d Fp(m)j Fs(patterns)g(correctly)g Fr(j)p Fp(h)1548 1010 y Fo(b)1578 1004 y Fp(\017)e Fr(H)1643 1010 y Fo(B)1672 1004 y Fs(])512 1066 y Fr(\024)f Fp(K)s Fs(\(1)d Fr(\000)h Fp(")p Fs(\))717 1051 y Fo(m)749 1066 y Fs(,)j(where)i Fp(K)g Fs(=)d Fr(jH)1035 1072 y Fo(B)1063 1066 y Fr(j)p Fs(.)512 1192 y(That)i(is,)512 1254 y(prob[there)h(is)f(a)f(bad)h(h)o(yp)q(othesis)h (that)f(classi\014es)g(all)f Fp(m)h Fs(patterns)h(correctly])512 1317 y Fr(\024)d Fp(K)s Fs(\(1)d Fr(\000)h Fp(")p Fs(\))717 1302 y Fo(m)749 1317 y Fs(.)512 1442 y(Since)15 b Fp(K)f Fr(\024)e(jHj)i Fs(and)f(\(1)c Fr(\000)h Fp(")p Fs(\))990 1427 y Fo(m)1033 1442 y Fr(\024)i Fp(e)1096 1427 y Fd(\000)p Fo("m)1170 1442 y Fs(,)h(w)o(e)h(ha)o(v)o(e:)512 1505 y(prob[there)h(is)f(a)f(bad)h(h)o(yp)q (othesis)h(that)f(classi\014es)g(all)f Fp(m)h Fs(patterns)h(correctly])512 1568 y(=)j(prob[there)h(is)f(a)g(h)o(yp)q(othesis)g(with)g(error)h Fp(>)f(")g Fs(and)g(that)g(classi\014es)h(all)e Fp(m)450 1617 y Fs(patterns)e(correctly])g Fr(\024)c(jHj)p Fp(e)919 1602 y Fd(\000)p Fo("m)992 1617 y Fs(.)512 1680 y Fa(2)512 1743 y Fs(A)j(corollary)f(of)h(this)g(theorem)f(is:)450 1847 y Ft(Corollary)h(8.2) 21 b Fn(Given)g Fp(m)i Fr(\025)g Fs(\(1)p Fp(=")p Fs(\)\()q(ln)6 b Fr(jHj)j Fs(+)g(ln\(1)p Fp(=\016)r Fs(\)\))21 b Fn(indep)n(endent)h (samples,)450 1897 y(the)15 b(pr)n(ob)n(ability)g(that)g(ther)n(e)g(exists)h (a)f(hyp)n(othesis)h(in)g Fr(H)f Fn(that)h(is)f(c)n(onsistent)g(with)g Fp(f)450 1947 y Fn(on)g(these)g(samples)g(and)h(has)f(err)n(or)f(gr)n(e)n (ater)g(than)h Fp(")g Fn(is)g(at)g(most)f Fp(\016)r Fn(.)450
2052 y Fs(Pro)q(of:)k(W)m(e)13 b(are)i(to)e(\014nd)h(a)g(b)q(ound)g(on)g Fp(m)g Fs(that)g(guaran)o(tees)h(that)512 2115 y(prob[there)h(is)f(a)f(h)o (yp)q(othesis)i(with)f(error)g Fp(>)f(")h Fs(and)g(that)g(classi\014es)g(all) f Fp(m)h Fs(pat-)450 2164 y(terns)h(correctly])f Fr(\024)e Fp(\016)r Fs(.)20 b(Th)o(us,)15 b(using)f(the)h(result)h(of)e(the)h(theorem,) f(w)o(e)g(m)o(ust)g(sho)o(w)450 2214 y(that)g Fr(jHj)p Fp(e)618 2199 y Fd(\000)p Fo("m)702 2214 y Fr(\024)e Fp(\016)r Fs(.)18 b(T)m(aking)13 b(the)h(natural)g(logarithm)d(of)i(b)q(oth)h(sides)h(yields:) 963 2329 y(ln)7 b Fr(jHj)i(\000)g Fp("m)j Fr(\024)g Fs(ln)7 b Fp(\016)512 2434 y Fs(or)450 2539 y Fj(Intr)n(o)n(duction)14 b(to)k(Machine)e(L)n(e)n(arning)1057 2538 y Fi(c)1046 2539 y Fh(\015)q Fi(1996)i(Nils)h(J.)e(Nilsson.)32 b(All)19 b(righ)o(ts)f(reserv)o (ed.)p eop %%Page: 121 5 121 4 bop 150 275 a Fk(8.2.)31 b(P)m(A)o(C)13 b(LEARNING)867 b Fs(121)577 483 y Fp(m)12 b Fr(\025)g Fs(\(1)p Fp(=")p Fs(\)\(ln)6 b Fr(jHj)j Fs(+)h(ln)o(\(1)p Fp(=\016)r Fs(\)\))212 587 y Fa(2)212 649 y Fs(This)15 b(corollary)f(is)g(imp)q(ortan)o(t)f(for)h(t)o(w)o(o)g (reasons.)21 b(First)15 b(it)g(clearly)f(states)i(that)150 699 y(w)o(e)c(can)h(select)h Fn(any)f Fs(h)o(yp)q(othesis)f(consisten)o(t)i (with)e(the)h Fp(m)f Fs(samples)g(and)g(b)q(e)h(assured)150 749 y(that)k(with)f(probabilit)o(y)f(\(1)c Fr(\000)g Fp(\016)r Fs(\))17 b(its)g(error)h(will)d(b)q(e)i(less)g(than)g Fp(")p Fs(.)27 b(Also,)16 b(it)h(sho)o(ws)150 799 y(that)d(in)f(order)h(for)f Fp(m)h Fs(to)g(increase)g(no)g(more)e(than)i(p)q(olynomiall)o(y)c(with)k Fp(n)p Fs(,)f Fr(jHj)g Fs(can)150 855 y(b)q(e)j(no)g(larger)f(than)h(2)507 840 y Fo(O)q Fm(\()p Fo(n)567 827 y Fg(k)585 840 y Fm(\))600 855 y Fs(.)23 b(No)16 b(class)g(larger)f(than)h(that)g(can)g(b)q(e)g(guaran)o (teed)g(to)150 905 y(b)q(e)f(prop)q(erly)f(P)m(A)o(C)f(learnable.)212 967 y(Here)f(is)f(a)f(p)q(ossible)h(p)q(oin)o(t)f(of)g(confusion:)17 b(The)11 b(b)q(ound)f(giv)o(en)h(in)f(the)h(corollary)f(is)150 1017 y(an)h Fn(upp)n(er)i(b)n(ound)f Fs(on)g(the)g(v)n(alue)f(of)f Fp(m)i Fs(needed)h(to)f(guaran)o(tee)g(p)q(olynomial)c(probably)150 1067 y(appro)o(ximately)13 b(correct)18 b(learning.)23 b(V)m(alues)15 b(of)g Fp(m)h Fs(greater)h(than)f(that)g(b)q(ound)g(are)150 1117 y(su\016cien)o(t)c(\(but)g(migh)o(t)e(not)i(b)q(e)g(necessary\).)20 b(W)m(e)11 b(will)f(presen)o(t)k(a)d(lo)o(w)o(er)h(\(necessary\))150 1166 y(b)q(ound)i(later)g(in)f(the)i(c)o(hapter.)150 1295 y Fu(8.2.2)55 b(Examples)150 1385 y Ft(T)l(erms)150 1474 y Fs(Let)14 b Fr(H)h Fs(b)q(e)f(the)h(set)f(of)g(terms)f(\(conjunctions)i(of)e (literals\).)18 b(Then,)c Fr(jHj)d Fs(=)h(3)1358 1459 y Fo(n)1380 1474 y Fs(,)h(and)572 1588 y Fp(m)f Fr(\025)f Fs(\(1)p Fp(=")p Fs(\)\()q(ln)o(\(3)844 1571 y Fo(n)867 1588 y Fs(\))e(+)h(ln)o(\(1)p Fp(=\016)r Fs(\)\))612 1744 y Fr(\025)i Fs(\(1)p Fp(=")p Fs(\)\(1)p Fp(:)p Fs(1)p Fp(n)c Fs(+)i(ln)o(\(1)p Fp(=\016)r Fs(\)\))150 1848 y(Note)18 b(that)f(the)h(b)q(ound)f(on)g Fp(m)h Fs(increases)h(only)d(p) q(olynomiall)o(y)e(with)j Fp(n)p Fs(,)h(1)p Fp(=")p Fs(,)f(and)150 1898 y(1)p Fp(=\016)r Fs(.)212 1960 y(F)m(or)e Fp(n)f Fs(=)g(50,)h Fp(")f Fs(=)h(0)p Fp(:)p Fs(01)f(and)h Fp(\016)h Fs(=)e(0)p Fp(:)p Fs(01,)g Fp(m)h Fr(\025)f Fs(5)p Fp(;)7 b Fs(961)14 b(guaran)o(tees)i(P)m(A)o(C)f(learn-)150 2010 y(abilit)o(y)m(.)212 2072 y(In)d(order)h(to)e(sho)o(w)h(that)g(terms)g(are)g Fn(pr)n(op)n(erly)g (P)m(A)o(C)h(le)n(arnable)p Fs(,)e(w)o(e)h(additionally)150 2122 y(ha)o(v)o(e)g(to)g(sho)o(w)g(that)g(one)h(can)f(\014nd)h(in)e(time)g(p) q(olynomial)e(in)j Fp(m)g Fs(and)g Fp(n)g Fs(a)g(h)o(yp)q(othesis)150 2172 y Fp(h)j Fs(consisten)o(t)h(with)e(a)h(set)h(of)e Fp(m)h Fs(patterns)h(lab)q(eled)f(b)o(y)g(the)g(v)n(alue)f(of)h(a)f(term.)21 b(The)150 2222 y(follo)o(wing)8 b(pro)q(cedure)13 b(for)d(\014nding)g(suc)o (h)i(a)e(consisten)o(t)i(h)o(yp)q(othesis)g(requires)g Fp(O)q
Fs(\()p Fp(nm)p Fs(\))150 2272 y(steps)j(\(adapted)g(from)d([Dietteric)o(h,)h (1990)o(,)g(page)h(268]\):)212 2334 y(W)m(e)19 b(are)h(giv)o(en)e(a)h (training)f(sequence,)k(\004,)e(of)e Fp(m)i Fs(examples.)33 b(Find)18 b(the)i(\014rst)150 2384 y(pattern,)c(sa)o(y)f Ft(X)420 2390 y Fm(1)439 2384 y Fs(,)g(in)g(that)h(list)f(that)g(is)h(lab)q(eled)f (with)g(a)g(1.)23 b(Initialize)14 b(a)h(Bo)q(olean)150 2434 y(function,)d Fp(h)p Fs(,)h(to)f(the)i(conjunction)e(of)g(the)i Fp(n)e Fs(literals)h(corresp)q(onding)g(to)g(the)g(v)n(alues)150 2539 y Fj(Intr)n(o)n(duction)h(to)k(Machine)e(L)n(e)n(arning)757 2538 y Fi(c)746 2539 y Fh(\015)q Fi(1996)i(Nils)h(J.)e(Nilsson.)32 b(All)19 b(righ)o(ts)f(reserv)o(ed.)p eop %%Page: 122 6 122 5 bop 450 275 a Fs(122)187 b Fk(CHAPTER)14 b(8.)31 b(COMPUT)m(A)m(TIONAL) 15 b(LEARNING)e(THEOR)m(Y)450 391 y Fs(of)18 b(the)h Fp(n)f Fs(comp)q(onen)o(ts)g(of)f Ft(X)941 397 y Fm(1)960 391 y Fs(.)31 b(\(Comp)q(onen)o(ts)18 b(with)g(v)n(alue)f(1)h(will)f(ha)o(v)o(e)h(corre-) 450 441 y(sp)q(onding)11 b(p)q(ositiv)o(e)h(literals;)f(comp)q(onen)o(ts)g (with)g(v)n(alue)g(0)h(will)e(ha)o(v)o(e)h(corresp)q(onding)450 491 y(negativ)o(e)j(literals.\))k(If)c(there)h(are)g(no)f(patterns)h(lab)q (eled)f(b)o(y)g(a)g(1,)f(w)o(e)i(exit)f(with)f(the)450 541 y(n)o(ull)d(concept)j(\()p Fp(h)f Fr(\021)f Fs(0)g(for)g(all)g(patterns\).)18 b(Then,)12 b(for)f(eac)o(h)h(additional)d(pattern,)k Ft(X)1775 547 y Fo(i)1788 541 y Fs(,)450 591 y(that)h(is)f(lab)q(eled)g(with)h(a)f(1,)g (w)o(e)g(delete)i(from)d Fp(h)h Fs(an)o(y)g(Bo)q(olean)g(v)n(ariables)g(app)q (earing)450 640 y(in)k Ft(X)538 646 y Fo(i)568 640 y Fs(with)g(a)g(sign)g (di\013eren)o(t)h(from)d(their)i(sign)g(in)f Fp(h)p Fs(.)28 b(After)17 b(pro)q(cessing)i(all)c(the)450 690 y(patterns)h(lab)q(eled)f (with)f(a)g(1,)h(w)o(e)g(c)o(hec)o(k)g(all)f(of)g(the)h(patterns)h(lab)q (eled)f(with)f(a)h(0)f(to)450 740 y(mak)o(e)g(sure)j(that)e(none)h(of)f(them) g(is)g(assigned)h(v)n(alue)f(1)g(b)o(y)g Fp(h)p Fs(.)23 b(If,)15 b(at)h(an)o(y)f(stage)h(of)450 790 y(the)h(algorithm,)d(an)o(y)i(patterns)i (lab)q(eled)f(with)f(a)g(0)h(are)g(assigned)g(a)f(1)g(b)o(y)h Fp(h)p Fs(,)f(then)450 840 y(there)h(exists)g(no)e(term)h(that)g(consisten)o (tly)g(classi\014es)h(the)f(patterns)h(in)f(\004,)f(and)h(w)o(e)450 889 y(exit)e(with)f(failure.)18 b(Otherwise,)d(w)o(e)f(exit)g(with)f Fp(h)p Fs(.)-1056 b Fm(Change)10 b(this)196 923 y(paragraph)g(if)196 956 y(this)i(algorithm)196 989 y(w)o(as)f(presen)o(ted)196 1022 y(in)h(Chapter)196 1056 y(Three.)512 950 y Fs(As)20 b(an)f(example,)g (consider)h(the)g(follo)o(wing)c(patterns,)21 b(all)d(lab)q(eled)h(with)g(a)g (1)450 1000 y(\(from)12 b([Dietteric)o(h,)i(1990)o(]\):)512 1060 y(\(0)p Fp(;)7 b Fs(1)p Fp(;)g Fs(1)p Fp(;)g Fs(0\))512 1121 y(\(1)p Fp(;)g Fs(1)p Fp(;)g Fs(1)p Fp(;)g Fs(0\))512 1181 y(\(1)p Fp(;)g Fs(1)p Fp(;)g Fs(0)p Fp(;)g Fs(0\))450 1241 y(After)15 b(pro)q(cessing)h(the)f(\014rst)h(pattern,)f(w)o(e)g(ha)o(v)o (e)f Fp(h)f Fs(=)p 1319 1219 43 2 v 13 w Fp(x)1343 1247 y Fm(1)1361 1241 y Fp(x)1385 1247 y Fm(2)1404 1241 y Fp(x)1428 1247 y Fm(3)p 1446 1219 V 1446 1241 a Fp(x)1470 1247 y Fm(4)1488 1241 y Fs(;)i(after)g(pro) q(cessing)450 1291 y(the)e(second)g(pattern,)g(w)o(e)f(ha)o(v)o(e)g Fp(h)g Fs(=)g Fp(x)1067 1297 y Fm(2)1085 1291 y Fp(x)1109 1297 y Fm(3)p 1127 1268 V 1127 1291 a Fp(x)1151 1297 y Fm(4)1170 1291 y Fs(;)g(\014nally)m(,)e(after)j(the)g(third)f(pattern,)h(w)o(e)450 1341 y(ha)o(v)o(e)h Fp(h)d Fs(=)h Fp(x)649 1347 y Fm(2)p 667 1318 V 667 1341 a Fp(x)691 1347 y Fm(4)710 1341 y Fs(.)466 1459 y Ft(Linearly)i(Separable)f(F)l(unctions)450 1546 y Fs(Let)h Fr(H)h Fs(b)q(e)f(the)h(set)f(of)g(all)e(linearly)h(separable)i(functions.)j (Then,)c Fr(jHj)d(\024)h Fs(2)1653 1531 y Fo(n)1674 1518 y Ff(2)1691 1546 y Fs(,)i(and)868 1654 y Fp(m)e Fr(\025)f Fs(\(1)p Fp(=")p Fs(\))1052 1620 y Fe(\000)1072 1654 y Fp(n)1097 1636 y Fm(2)1122 1654 y Fs(ln)c(2)h(+)i(ln\(1)p Fp(=\016)r Fs(\))1364
1620 y Fe(\001)450 1751 y Fs(Again,)i(note)j(that)e(the)i(b)q(ound)e(on)h Fp(m)g Fs(increases)h(only)e(p)q(olynomially)d(with)j Fp(n)p Fs(,)h(1)p Fp(=")p Fs(,)450 1801 y(and)g(1)p Fp(=\016)r Fs(.)512 1861 y(F)m(or)19 b Fp(n)h Fs(=)h(50,)e Fp(")i Fs(=)f(0)p Fp(:)p Fs(01)e(and)h Fp(\016)j Fs(=)e(0)p Fp(:)p Fs(01,)f Fp(m)i Fr(\025)f Fs(173)p Fp(;)7 b Fs(748)17 b(guaran)o(tees)j(P)m(A)o(C)450 1911 y(learnabilit)o(y)m(.)512 1971 y(T)m(o)c(sho)o(w)h(that)g(linearly)e (separable)i(functions)g(are)g Fn(pr)n(op)n(erly)g(P)m(A)o(C)g(le)n(arnable)p Fs(,)450 2021 y(w)o(e)12 b(w)o(ould)f(ha)o(v)o(e)g(additionally)f(to)h(sho)o (w)h(that)g(one)g(can)g(\014nd)f(in)h(time)e(p)q(olynomial)e(in)450 2071 y Fp(m)j Fs(and)g Fp(n)g Fs(a)g(h)o(yp)q(othesis)g Fp(h)g Fs(consisten)o(t)h(with)f(a)g(set)h(of)e Fp(m)h Fs(lab)q(eled)g(linearly)f (separable)450 2121 y(patterns.)-415 b Fm(Linear)196 2154 y(programming)196 2187 y(is)12 b(p)q(olynomial.)450 2247 y Fu(8.2.3)55 b(Some)17 b(Prop)r(erly)g(P)-5 b(A)n(C-Learnable)20 b(Classes)450 2334 y Fs(Some)11 b(prop)q(erly)h(P)m(A)o(C-learnable)f(classes)i(of)e(functions)h (are)g(giv)o(en)g(in)f(the)i(follo)o(wing)450 2384 y(table.)32 b(\(Adapted)20 b(from)d([Dietteric)o(h,)c(1990)o(,)40 b(pages)19 b(262)f(and)g(268])g(whic)o(h)h(also)450 2434 y(giv)o(es)14 b(references)i(to)e(pro)q(ofs)g(of)f(some)g(of)h(the)g(time)f (complexities.\))450 2539 y Fj(Intr)n(o)n(duction)h(to)k(Machine)e(L)n(e)n (arning)1057 2538 y Fi(c)1046 2539 y Fh(\015)q Fi(1996)i(Nils)h(J.)e (Nilsson.)32 b(All)19 b(righ)o(ts)f(reserv)o(ed.)p eop %%Page: 123 7 123 6 bop 150 275 a Fk(8.2.)31 b(P)m(A)o(C)13 b(LEARNING)867 b Fs(123)p 212 408 1565 2 v 212 418 V 211 468 2 50 v 237 453 a Fr(H)p 871 468 V 691 w(jHj)p 1111 468 V 115 w Fs(Time)12 b(Complexit)o(y)p 1478 468 V 48 w(P)m(.)h(Learnable?)p 1776 468 V 212 469 1565 2 v 212 479 V 211 529 2 50 v 237 514 a(terms)p 871 529 V 631 w(3)991 499 y Fo(n)p 1111 529 V 1195 514 a Fs(p)q(olynomial)p 1478 529 V 201 w(y)o(es)p 1776 529 V 212 531 1565 2 v 211 583 2 52 v 237 568 a Fp(k)q Fs(-term)g(DNF)p 871 583 V 472 w(2)956 553 y Fo(O)q Fm(\()p Fo(k)q(n)p Fm(\))p 1111 583 V 1217 568 a Fs(NP-hard)p 1478 583 V 233 w(no)p 1776 583 V 211 632 2 50 v 237 618 a(\()p Fp(k)i Fs(disjunctiv)o(e)f(terms\))p 871 632 V 1111 632 V 1478 632 V 1776 632 V 212 634 1565 2 v 211 691 2 57 v 237 676 a Fp(k)q Fs(-DNF)p 871 691 V 571 w(2)956 661 y Fo(O)q Fm(\()p Fo(n)1016 649 y Fg(k)1034 661 y Fm(\))p 1111 691 V 1195 676 a Fs(p)q(olynomial)p 1478 691 V 201 w(y)o(es)p 1776 691 V 211 741 2 50 v 237 726 a(\(a)g(disjunction)f(of)h Fp(k)q Fs(-sized)g(terms\))p 871 741 V 1111 741 V 1478 741 V 1776 741 V 212 743 1565 2 v 211 799 2 57 v 237 785 a Fp(k)q Fs(-CNF)p 871 799 V 573 w(2)956 769 y Fo(O)q Fm(\()p Fo(n)1016 757 y Fg(k)1034 769 y Fm(\))p 1111 799 V 1195 785 a Fs(p)q(olynomial)p 1478 799 V w(y)o(es)p 201 1776 799 V 211 849 2 50 v 237 834 a(\(a)g(conjunction)g(of)f Fp(k)q Fs(-sized)h(clauses\))p 871 849 V 1111 849 V 1478 849 V 1776 849 V 212 851 1565 2 v 211 908 2 57 v 237 893 a Fp(k)q Fs(-DL)p 871 908 V 565 w(2)918 878 y Fo(O)q Fm(\()p Fo(n)978 865 y Fg(k)995 878 y Fo(k)6 b Fm(lg)h Fo(n)p Fm(\))p 1111 908 V 1195 893 a Fs(p)q(olynomial)p 1478 908 V 201 w(y)o(es)p 1776 908 V 211 958 2 50 v 237 943 a(\(decision)14 b(lists)g(with)g Fp(k)q Fs(-sized)g(terms\))p 871 958 V 1111 958 V 1478 958 V 1776 958 V 212 959 1565 2 v 211 1015 2 56 v 237 1000 a(lin.)j(sep.)p 871 1015 V 554 w(2)957 985 y Fo(O)q Fm(\()p Fo(n)1017 973 y Ff(2)1033 985 y Fm(\))p 1111 1015 V 1195 1000 a Fs(p)q(olynomial)p 1478 1015 V 201 w(y)o(es)p 1776 1015 V 212 1017 1565 2 v 211 1067 2 50 v 237 1052 a(lin.)g(sep.)i(with)14 b(\(0,1\))f(w)o(eigh)o(ts)p 871 1067 V 253 w(?)p 1111 1067 V 215 w(NP-hard)p 1478 1067 V 233
w(no)p 1776 1067 V 212 1068 1565 2 v 211 1118 2 50 v 237 1103 a Fp(k)q Fs(-2NN)p 871 1118 V 625 w(?)p 1111 1118 V 215 w(NP-hard)p 1478 1118 V 233 w(no)p 1776 1118 V 212 1120 1565 2 v 211 1171 2 52 v 237 1156 a(DNF)p 871 1171 V 635 w(2)983 1141 y Fm(2)1000 1129 y Fg(n)p 1111 1171 V 1195 1156 a Fs(p)q(olynomial)p 1478 1171 V 207 w(no)p 1776 1171 V 211 1221 2 50 v 237 1206 a(\(all)g(Bo)q(olean)h (functions\))p 871 1221 V 1111 1221 V 1478 1221 V 1776 1221 V 212 1223 1565 2 v 211 1273 2 50 v 871 1273 V 150 1348 a(\(Mem)o(b)q(ers)k (of)f(the)h(class)f Fp(k)q Fs(-2NN)h(are)f(t)o(w)o(o-la)o(y)o(er,)g(feedforw) o(ard)h(neural)f(net)o(w)o(orks)150 1398 y(with)d(exactly)g Fp(k)g Fs(hidden)g(units)g(and)g(one)g(output)g(unit.\))212 1459 y(Summary:)k(In)d(order)g(to)g(sho)o(w)g(that)g(a)g(class)g(of)g (functions)g(is)g Fn(Pr)n(op)n(erly)g(P)m(A)o(C-)150 1509 y(L)n(e)n(arnable)f Fs(:)201 1607 y(1.)20 b(Sho)o(w)10 b(that)h(there)h(is)f(an)f(algorithm)f (that)h(pro)q(duces)j(a)d(consisten)o(t)i(h)o(yp)q(othesis)254 1656 y(on)h Fp(m)i(n)p Fs(-dimensional)c(samples)i(in)g(time)g(p)q(olynomial) d(in)k Fp(m)g Fs(and)g Fp(n)p Fs(.)201 1738 y(2.)20 b(Sho)o(w)15 b(that)h(the)g(sample)e(size,)j Fp(m)p Fs(,)f(needed)h(to)f(ensure)h(P)m(A)o (C)e(learnabilit)o(y)f(is)254 1788 y(p)q(olynomial)d(\(or)16 b(b)q(etter\))g(in)f(\(1)p Fp(=")p Fs(\),)g(\(1)p Fp(=\016)r Fs(\),)g(and)g Fp(n)g Fs(b)o(y)f(sho)o(wing)h(that)g(ln)6 b Fr(jHj)254 1837 y Fs(is)14 b(p)q(olynomial)c(or)k(b)q(etter)h(in)f(the)g(n)o (um)o(b)q(er)f(of)h(dimensions.)212 1936 y(As)19 b(hin)o(ted)f(earlier,)h (sometimes)e(enlarging)g(the)i(class)g(of)e(h)o(yp)q(otheses)j(mak)o(es)150 1985 y(learning)c(easier.)29 b(F)m(or)17 b(example,)f(the)i(table)f(ab)q(o)o (v)o(e)g(sho)o(ws)g(that)g Fp(k)q Fs(-CNF)g(is)g(P)m(A)o(C)150 2035 y(learnable,)f(but)g Fp(k)q Fs(-term-DNF)g(is)g(not.)24 b(And)17 b(y)o(et,)f Fp(k)q Fs(-term-DNF)f(is)h(a)g(sub)q(class)i(of)150 2085 y Fp(k)q Fs(-CNF!)c(So,)g(ev)o(en)h(if)e(the)i(target)g(function)f(w)o (ere)h(in)f Fp(k)q Fs(-term-DNF,)f(one)i(w)o(ould)e(b)q(e)150 2135 y(able)g(to)h(\014nd)g(a)f(h)o(yp)q(othesis)i(in)e Fp(k)q Fs(-CNF)h(that)f(is)h(probably)f(appro)o(ximately)e(correct)150 2185 y(for)h(the)g(target)h(function.)k(Similarly)l(,)9 b(linearly)i (separable)i(functions)f(implemen)o(ted)150 2234 y(b)o(y)17 b(TLUs)h(whose)g(w)o(eigh)o(t)f(v)n(alues)h(are)f(restricted)j(to)d(0)h(and)f (1)g(are)h(not)g(prop)q(erly)150 2284 y(P)m(A)o(C)g(learnable,)h(whereas)h (unrestricted)h(linearly)c(separable)i(functions)g(are.)32 b(It)150 2334 y(is)16 b(p)q(ossible)h(that)f(enlarging)f(the)i(space)g(of)f (h)o(yp)q(otheses)i(mak)o(es)d(\014nding)g(one)i(that)150 2384 y(is)i(consisten)o(t)h(with)f(the)h(training)e(examples)g(easier.)35 b(An)19 b(in)o(teresting)h(question)150 2434 y(is)g(whether)h(or)f(not)g(the) g(class)h(of)e(functions)h(in)g Fp(k)q Fs(-2NN)f(is)h(p)q(olynomiall)o(y)d(P) m(A)o(C)150 2539 y Fj(Intr)n(o)n(duction)d(to)k(Machine)e(L)n(e)n(arning)757 2538 y Fi(c)746 2539 y Fh(\015)q Fi(1996)i(Nils)h(J.)e(Nilsson.)32 b(All)19 b(righ)o(ts)f(reserv)o(ed.)p eop %%Page: 124 8 124 7 bop 450 275 a Fs(124)187 b Fk(CHAPTER)14 b(8.)31 b(COMPUT)m(A)m(TIONAL) 15 b(LEARNING)e(THEOR)m(Y)450 391 y Fs(learnable)j(if)g(the)h(h)o(yp)q (otheses)h(are)f(dra)o(wn)f(from)f Fp(k)1283 376 y Fd(0)1294 391 y Fs(-2NN)i(with)f Fp(k)1528 376 y Fd(0)1555 391 y Fp(>)g(k)q Fs(.)26 b(\(A)o(t)16 b(the)450 441 y(time)d(of)g(writing,)f(this)i(matter)g (is)f(still)g(undecided.\))512 505 y(Although)g(P)m(A)o(C)h(learning)e (theory)i(is)g(a)f(p)q(o)o(w)o(erful)g(analytic)g(to)q(ol,)f(it)h(\(lik)o(e)g (com-)450 555 y(plexit)o(y)d(theory\))i(deals)f(mainly)d(with)j(w)o (orst-case)h(results.)18 b(The)12 b(fact)f(that)g(the)h(class)450 605 y(of)j(t)o(w)o(o-la)o(y)o(er,)g(feedforw)o(ard)i(neural)f(net)o(w)o(orks) g(is)g(not)g(p)q(olynomiall)o(y)d(P)m(A)o(C)j(learn-)450 655 y(able)c(is)g(more)g(an)g(attac)o(k)g(on)g(the)h(theory)g(than)f(it)g(is)g (on)g(the)h(net)o(w)o(orks,)g(whic)o(h)f(ha)o(v)o(e)450 705
y(had)17 b(man)o(y)e(successful)k(applications.)28 b(As)17 b([Baum,)12 b(1994)o(,)18 b(page)f(416-17])e(sa)o(ys:)25 b(\\)450 755 y Fp(:)7 b(:)g(:)k Fs(h)o(umans)g(are)i(capable)f(of)g(learning)g(in)g (the)h(natural)f(w)o(orld.)17 b(Therefore,)c(a)f(pro)q(of)450 804 y(within)g(some)f(mo)q(del)g(of)h(learning)f(that)i(learning)e(is)i(not)f (feasible)g(is)g(an)g(indictmen)o(t)450 854 y(of)g(the)g(mo)q(del.)k(W)m(e)c (should)g(examine)f(the)i(mo)q(del)d(to)j(see)g(what)f(constrain)o(ts)h(can)f (b)q(e)450 904 y(relaxed)i(and)g(made)f(more)g(realistic.")450 1060 y Fv(8.3)70 b(The)22 b(V)-6 b(apnik-Cherv)n(onenkis)23 b(Dimension)450 1175 y Fu(8.3.1)55 b(Linear)18 b(Dic)n(hotomies)450 1267 y Fs(Consider)c(a)g(set,)g Fr(H)p Fs(,)g(of)g(functions,)f(and)h(a)g (set,)g(\004,)f(of)h(\(unlab)q(eled\))g(patterns.)19 b(One)450 1317 y(measure)14 b(of)f(the)h(expressiv)o(e)i(p)q(o)o(w)o(er)e(of)f(a)g(set) i(of)e(h)o(yp)q(otheses,)i(relativ)o(e)f(to)f(\004,)g(is)h(its)450 1366 y(abilit)o(y)c(to)h(mak)o(e)f Fn(arbitr)n(ary)g Fs(classi\014cations)h (of)g(the)h(patterns)h(in)e(\004.)1519 1351 y Fm(1)1554 1366 y Fs(If)g(there)i(are)f Fp(m)450 1416 y Fs(patterns)i(in)e(\004,)g(there)i (are)f(2)906 1401 y Fo(m)950 1416 y Fs(di\013eren)o(t)h(w)o(a)o(ys)f(to)f (divide)g(these)i(patterns)g(in)o(to)e(t)o(w)o(o)450 1466 y(disjoin)o(t)g (and)i(exhaustiv)o(e)f(subsets.)20 b(W)m(e)13 b(sa)o(y)g(there)i(are)f(2)1379 1451 y Fo(m)1423 1466 y Fs(di\013eren)o(t)h Fn(dichotomies)450 1516 y Fs(of)c(\004.)17 b(If)12 b(\004)f(w)o(ere)i(to)f(include)g Fn(al)r(l)g Fs(of)f(the)h(2)1107 1501 y Fo(n)1142 1516 y Fs(Bo)q(olean)f (patterns,)i(for)f(example,)f(there)450 1566 y(are)17 b(2)543 1551 y Fm(2)560 1538 y Fg(n)599 1566 y Fs(w)o(a)o(ys)f(to)h(dic)o(hotomize)e (them,)h(and)h(\(of)f(course\))i(the)f(set)h(of)e(all)g(p)q(ossible)450 1615 y(Bo)q(olean)c(functions)g(dic)o(hotomizes)f(them)g(in)h(all)f(of)g (these)j(w)o(a)o(ys.)j(But)c(a)f(subset,)h Fr(H)p Fs(,)450 1665 y(of)f(the)g(Bo)q(olean)g(functions)g(migh)o(t)e(not)i(b)q(e)h(able)f (to)g(dic)o(hotomize)f(an)h(arbitrary)g(set,)450 1715 y(\004,)j(of)g Fp(m)h Fs(Bo)q(olean)g(patterns)h(in)e(all)g(2)1065 1700 y Fo(m)1112 1715 y Fs(w)o(a)o(ys.)23 b(In)15 b(general)h(\(that)g(is,)g(ev)o (en)g(in)f(the)450 1765 y(non-Bo)q(olean)d(case\),)h(w)o(e)f(sa)o(y)g(that)h (if)e(a)h(subset,)i Fr(H)p Fs(,)e(of)g(functions)g(can)g(dic)o(hotomize)450 1815 y(a)i(set,)g(\004,)f(of)g Fp(m)i Fs(patterns)g(in)e(all)g(2)1003 1800 y Fo(m)1048 1815 y Fs(w)o(a)o(ys,)g(then)h Fr(H)h Fn(shatters)e Fs(\004.)512 1879 y(As)19 b(an)g(example,)f(consider)i(a)e(set)i(\004)e(of)g Fp(m)h Fs(patterns)h(in)e(the)h(n-dimensional)450 1929 y(space,)13 b Fr(R)606 1914 y Fo(n)629 1929 y Fs(.)k(\(That)12 b(is,)g(the)g Fp(n)g Fs(comp)q(onen)o(ts)g(of)f(these)i(patterns)g(are)g(real)f(n)o(um)o(b) q(ers.\))450 1979 y(W)m(e)f(de\014ne)h(a)f Fn(line)n(ar)h(dichotomy)g Fs(as)f(one)g(implemen)o(ted)e(b)o(y)i(an)g(\()p Fp(n)t Fr(\000)t Fs(1\)-dimensional)450 2028 y(h)o(yp)q(erplane)i(in)f(the)i Fp(n)p Fs(-dimensional)c(space.)18 b(Ho)o(w)13 b(man)o(y)d(linear)i(dic)o (hotomies)g(of)g Fp(m)450 2078 y Fs(patterns)19 b(in)e Fp(n)g Fs(dimensions)f(are)i(there?)30 b(F)m(or)18 b(example,)e(as)i(sho)o(wn)f(in)g (Fig.)28 b(8.1,)450 2128 y(there)15 b(are)f(14)f(dic)o(hotomies)f(of)h(four)g (p)q(oin)o(ts)h(in)f(t)o(w)o(o)g(dimensions)g(\(eac)o(h)h(separating)450 2178 y(line)i(yields)h(t)o(w)o(o)g(dic)o(hotomies)e(dep)q(ending)j(on)e (whether)i(the)g(p)q(oin)o(ts)f(on)f(one)i(side)450 2228 y(of)e(the)h(line)f (are)h(classi\014ed)g(as)g(1)f(or)h(0\).)26 b(\(Note)17 b(that)g(ev)o(en)g (though)f(there)i(are)f(an)450 2278 y(in\014nite)11 b(n)o(um)o(b)q(er)f(of)g (h)o(yp)q(erplanes,)i(there)g(are,)f(nev)o(ertheless,)i(only)d(a)h(\014nite)g (n)o(um)o(b)q(er)p 450 2316 540 2 v 496 2343 a Fc(1)514 2355 y Fb(And,)g(of)h(course,)e(if)i(a)g(h)o(yp)q(othesis)d(dra)o(wn)i(from)g(a)h (set)f(that)g(could)g(mak)o(e)f(arbitrary)g(classi\014-)450 2394 y(cations)g(of)h(a)g(set)g(of)g(training)e(patterns,)g(there)h(is)i (little)e(lik)o(eliho)q(o)q(d)e(that)j(suc)o(h)f(a)h(h)o(yp)q(othesis)e(will) 450 2434 y(generalize)g(w)o(ell)i(b)q(ey)o(ond)f(the)h(training)e(set.)450
2539 y Fj(Intr)n(o)n(duction)14 b(to)k(Machine)e(L)n(e)n(arning)1057 2538 y Fi(c)1046 2539 y Fh(\015)q Fi(1996)i(Nils)h(J.)e(Nilsson.)32 b(All)19 b(righ)o(ts)f(reserv)o(ed.)p eop %%Page: 125 9 125 8 bop 150 275 a Fk(8.3.)31 b(THE)14 b(V)-5 b(APNIK-CHER)g(V)o(ONENKIS)16 b(DIMENSION)313 b Fs(125)150 391 y(of)13 b(w)o(a)o(ys)h(in)f(whic)o(h)h(h)o (yp)q(erplanes)g(can)g(dic)o(hotomize)f(a)g(\014nite)h(n)o(um)o(b)q(er)f(of)g (patterns.)150 441 y(Small)8 b(mo)o(v)o(emen)o(ts)h(of)h(a)h(h)o(yp)q (erplane)g(t)o(ypically)f(do)g(not)h(c)o(hange)g(the)h(classi\014cations)150 491 y(of)h(an)o(y)h(patterns.\))379 1435 y @beginspecial 7 @llx 491 @lly 221 @urx 705 @ury 2140 @rwi @setspecial %%BeginDocument: Eight/dichot.eps /__NXdef{1 index where{pop pop pop}{def}ifelse}bind def /__NXbdef{1 index where{pop pop pop}{bind def}ifelse}bind def /UserObjects 10 array __NXdef /defineuserobject{ exch dup 1 add dup UserObjects length gt{ array dup 0 UserObjects putinterval /UserObjects exch def }{pop}ifelse UserObjects exch 3 -1 roll put }__NXbdef /undefineuserobject{UserObjects exch null put}__NXbdef /execuserobject{UserObjects exch get exec}__NXbdef /__NXRectPath{4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath}__NXbdef /__NXProcessRectArgs{ 1 index type /arraytype eq{ exch 0 4 2 index length 1 sub{ dup 3 add 1 exch{1 index exch get exch}for 5 1 roll 5 index exec }for pop pop }{exec}ifelse }__NXbdef /rectfill{gsave newpath {__NXRectPath fill} __NXProcessRectArgs grestore}__NXbdef /rectclip{newpath {__NXRectPath} __NXProcessRectArgs clip newpath}__NXbdef /rectstroke{ gsave newpath dup type /arraytype eq{dup length 6 eq}{false}ifelse{ {gsave __NXRectPath null concat stroke grestore} dup length array cvx copy dup 2 4 -1 roll put __NXProcessRectArgs }{{__NXRectPath stroke} __NXProcessRectArgs}ifelse grestore }__NXbdef /xyshow{ 0 1 3 index length 1 sub{ currentpoint 4 index 3 index 1 getinterval show 3 index 3 index 2 mul 1 add get add exch 3 index 3 index 2 mul get add exch moveto pop }for pop pop }__NXbdef /xshow{ 0 1 3 index length 1 sub{ currentpoint 4 index 3 index 1 getinterval show exch 3 index 3 index get add exch moveto pop }for pop pop }__NXbdef /yshow{ 0 1 3 index length 1 sub{ currentpoint 4 index 3 index 1 getinterval show
3 index 3 index get add moveto pop }for pop pop }__NXbdef /arct{arcto pop pop pop pop}__NXbdef /setbbox{pop pop pop pop}__NXbdef /ucache{}__NXbdef /ucachestatus{mark 0 0 0 0 0}__NXbdef /setucacheparams{cleartomark}__NXbdef /uappend{systemdict begin cvx exec end}__NXbdef /ueofill{gsave newpath uappend eofill grestore}__NXbdef /ufill{gsave newpath uappend fill grestore}__NXbdef /ustroke{ gsave newpath dup length 6 eq {exch uappend concat}{uappend}ifelse stroke grestore }__NXbdef /__NXustrokepathMatrix dup where {pop pop}{matrix def}ifelse /ustrokepath{ newpath dup length 6 eq{ exch uappend __NXustrokepathMatrix currentmatrix exch concat strokepath setmatrix }{uappend strokepath}ifelse } __NXbdef /upath{ [exch {/ucache cvx}if pathbbox /setbbox cvx {/moveto cvx}{/lineto cvx}{/curveto cvx}{/closepath cvx}pathforall]cvx } __NXbdef /setstrokeadjust{pop}__NXbdef /currentstrokeadjust{false}__NXbdef /selectfont{exch findfont exch dup type /arraytype eq {makefont}{scalefont}ifelse setfont}__NXbdef /_NXCombineArrays{ counttomark dup 2 add index dup length 3 -1 roll { 2 index length sub dup 4 1 roll 1 index exch 4 -1 roll putinterval exch }repeat pop pop pop }__NXbdef /setcmykcolor{ 1.0 exch sub dup dup 6 -1 roll sub dup 0 lt{pop 0}if 5 1 roll 4 -1 roll sub dup 0 lt{pop 0}if 3 1 roll exch sub dup 0 lt{pop 0}if setrgbcolor }__NXbdef /currentcmykcolor{currentrgbcolor 3{1.0 exch sub 3 1 roll}repeat 0}__NXbdef /flushgraphics{}def /setwindowtype{pop pop}def /currentwindowtype{pop 0}def /setalpha{pop}def /currentalpha{1.0}def /hidecursor{}def /obscurecursor{}def /revealcursor{}def /setcursor{4 {pop}repeat}bind def /showcursor{}def /NextStepEncoding where not{ /NextStepEncoding StandardEncoding 256 array copy def 0 [129/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/Ccedilla/Egrave /Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis /Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/Ugrave/Uacute /Ucircumflex/Udieresis/Yacute/Thorn/mu/multiply/divide/copyright
176/registered 181/brokenbar 190/logicalnot 192/onesuperior 201/twosuperior 204/threesuperior 209/plusminus/onequarter/onehalf/threequarters/agrave /aacute/acircumflex/atilde/adieresis/aring/ccedilla/egrave/eacute /ecircumflex/edieresis/igrave 226/iacute 228/icircumflex/idieresis/eth /ntilde 236/ograve/oacute/ocircumflex/otilde/odieresis 242/ugrave/uacute /ucircumflex 246/udieresis/yacute 252/thorn/ydieresis] {dup type /nametype eq {NextStepEncoding 2 index 2 index put pop 1 add}{exch pop}ifelse }forall pop /NextStepEncoding NextStepEncoding readonly def /_NXfstr 128 string dup 0 (_NX) putinterval def /findfont{ % Because we can never let NextStepEncoding get into % SharedFontDirectory, we cannot reencode a font to NextStepEncoding % if we are in shared mode. So if currentshared is true, % we call the normal findfont and return that /currentshared where {pop currentshared} {false} ifelse {//findfont exec} {dup _NXfstr 3 125 getinterval cvs length 3 add _NXfstr 0 3 -1 roll getinterval cvn exch FontDirectory 2 index known {pop FontDirectory exch get} {//findfont exec dup /Encoding get StandardEncoding eq { dup length dict exch {1 index /FID ne {2 index 3 1 roll put}{pop pop}ifelse}forall dup /Encoding NextStepEncoding put definefont }{exch pop} ifelse }ifelse }ifelse }bind def }{pop}ifelse /_NXProcArray 5 array __NXdef /_NXChannels 0 __NXdef /_NXTotalBytes 0 __NXdef /_NXDoImageOp{ 1 index{dup}{1}ifelse /_NXChannels exch store _NXChannels 2 add 2 roll _NXProcArray 0 _NXChannels getinterval astore pop 5 index 4 index mul 2 index{1 sub 8 idiv 1 add mul}{mul 1 sub 8 idiv 1 add}ifelse 4 index mul /_NXTotalBytes exch store pop exch pop gsave matrix invertmatrix concat 0.5 setgray 0 0 4 2 roll rectfill grestore { 0 1 _NXChannels 1 sub{ _NXProcArray exch get exec length _NXTotalBytes exch sub /_NXTotalBytes exch store}for _NXTotalBytes 0 le{exit}if }loop /_NXProcArray 5 array def }__NXbdef /colorimage{_NXDoImageOp}__NXbdef /alphaimage{1 add _NXDoImageOp}def gsave -20 -28 translate /__NXbasematrix matrix currentmatrix def grestore /oval { translate scale newpath 0.5 0.5 0.5 0 360 arc } def /line { moveto rlineto stroke } def /setup { setlinewidth setlinecap setlinejoin gsave
} def /arrow { newpath moveto dup rotate -13 6 rlineto 4 -6 rlineto -4 -6 rlineto closepath gsave 0 setlinejoin stroke grestore fill neg rotate } def gsave 7 491 214 214 rectclip 7 491 214 214 rectclip 0 setgray 0.333333 setgray 0 0 0 setup 1 setgray 12 496 204 204 rectfill 12.000000 496.000000 transform gsave __NXbasematrix setmatrix itransform translate 0 0 204 204 rectclip 0.373626 0.374312 scale -1 -174 translate /__NXEPSSave save def /showpage {} def 0 setgray 0 setlinecap 1 setlinewidth 0 setlinejoin 10 setmiterlimit [] 0 setdash newpath count /__NXEPSOpCount exch def /__NXEPSDictCount countdictstack def /__NXdef{1 index where{pop pop pop}{def}ifelse}bind def /__NXbdef{1 index where{pop pop pop}{bind def}ifelse}bind def /UserObjects 10 array __NXdef /defineuserobject{ exch dup 1 add dup UserObjects length gt{ array dup 0 UserObjects putinterval /UserObjects exch def }{pop}ifelse UserObjects exch 3 -1 roll put }__NXbdef /undefineuserobject{UserObjects exch null put}__NXbdef /execuserobject{UserObjects exch get exec}__NXbdef /__NXRectPath{4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath}__NXbdef /__NXProcessRectArgs{ 1 index type /arraytype eq{ exch 0 4 2 index length 1 sub{ dup 3 add 1 exch{1 index exch get exch}for 5 1 roll 5 index exec }for pop pop }{exec}ifelse }__NXbdef /rectfill{gsave newpath {__NXRectPath fill} __NXProcessRectArgs grestore}__NXbdef /rectclip{newpath {__NXRectPath} __NXProcessRectArgs clip newpath}__NXbdef /rectstroke{ gsave newpath dup type /arraytype eq{dup length 6 eq}{false}ifelse{ {gsave __NXRectPath null concat stroke grestore} dup length array cvx copy dup 2 4 -1 roll put __NXProcessRectArgs }{{__NXRectPath stroke} __NXProcessRectArgs}ifelse grestore }__NXbdef /xyshow{ 0 1 3 index length 1 sub{ currentpoint 4 index 3 index 1 getinterval show 3 index 3 index 2 mul 1 add get add exch 3 index 3 index 2 mul get add exch moveto pop }for pop pop }__NXbdef
/xshow{ 0 1 3 index length 1 sub{ currentpoint 4 index 3 index 1 getinterval show exch 3 index 3 index get add exch moveto pop }for pop pop }__NXbdef /yshow{ 0 1 3 index length 1 sub{ currentpoint 4 index 3 index 1 getinterval show 3 index 3 index get add moveto pop }for pop pop }__NXbdef /arct{arcto pop pop pop pop}__NXbdef /setbbox{pop pop pop pop}__NXbdef /ucache{}__NXbdef /ucachestatus{mark 0 0 0 0 0}__NXbdef /setucacheparams{cleartomark}__NXbdef /uappend{systemdict begin cvx exec end}__NXbdef /ueofill{gsave newpath uappend eofill grestore}__NXbdef /ufill{gsave newpath uappend fill grestore}__NXbdef /ustroke{ gsave newpath dup length 6 eq {exch uappend concat}{uappend}ifelse stroke grestore }__NXbdef /__NXustrokepathMatrix dup where {pop pop}{matrix def}ifelse /ustrokepath{ newpath dup length 6 eq{ exch uappend __NXustrokepathMatrix currentmatrix exch concat strokepath setmatrix }{uappend strokepath}ifelse } __NXbdef /upath{ [exch {/ucache cvx}if pathbbox /setbbox cvx {/moveto cvx}{/lineto cvx}{/curveto cvx}{/closepath cvx}pathforall]cvx } __NXbdef /setstrokeadjust{pop}__NXbdef /currentstrokeadjust{false}__NXbdef /selectfont{exch findfont exch dup type /arraytype eq {makefont}{scalefont}ifelse setfont}__NXbdef /_NXCombineArrays{ counttomark dup 2 add index dup length 3 -1 roll { 2 index length sub dup 4 1 roll 1 index exch 4 -1 roll putinterval exch }repeat pop pop pop }__NXbdef /setcmykcolor{ 1.0 exch sub dup dup 6 -1 roll sub dup 0 lt{pop 0}if 5 1 roll 4 -1 roll sub dup 0 lt{pop 0}if 3 1 roll exch sub dup 0 lt{pop 0}if setrgbcolor }__NXbdef /currentcmykcolor{currentrgbcolor 3{1.0 exch sub 3 1 roll}repeat 0}__NXbdef /flushgraphics{}def /setwindowtype{pop pop}def /currentwindowtype{pop 0}def /setalpha{pop}def /currentalpha{1.0}def /hidecursor{}def /obscurecursor{}def
/revealcursor{}def /setcursor{4 {pop}repeat}bind def /showcursor{}def /NextStepEncoding where not{ /NextStepEncoding StandardEncoding 256 array copy def 0 [129/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/Ccedilla/Egrave /Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis /Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/Ugrave/Uacute /Ucircumflex/Udieresis/Yacute/Thorn/mu/multiply/divide/copyright 176/registered 181/brokenbar 190/logicalnot 192/onesuperior 201/twosuperior 204/threesuperior 209/plusminus/onequarter/onehalf/threequarters/agrave /aacute/acircumflex/atilde/adieresis/aring/ccedilla/egrave/eacute /ecircumflex/edieresis/igrave 226/iacute 228/icircumflex/idieresis/eth /ntilde 236/ograve/oacute/ocircumflex/otilde/odieresis 242/ugrave/uacute /ucircumflex 246/udieresis/yacute 252/thorn/ydieresis] {dup type /nametype eq {NextStepEncoding 2 index 2 index put pop 1 add}{exch pop}ifelse }forall pop /NextStepEncoding NextStepEncoding readonly def /_NXfstr 128 string dup 0 (_NX) putinterval def /findfont{ % Because we can never let NextStepEncoding get into % SharedFontDirectory, we cannot reencode a font to NextStepEncoding % if we are in shared mode. So if currentshared is true, % we call the normal findfont and return that /currentshared where {pop currentshared} {false} ifelse {//findfont exec} {dup _NXfstr 3 125 getinterval cvs length 3 add _NXfstr 0 3 -1 roll getinterval cvn exch FontDirectory 2 index known {pop FontDirectory exch get} {//findfont exec dup /Encoding get StandardEncoding eq { dup length dict exch {1 index /FID ne {2 index 3 1 roll put}{pop pop}ifelse}forall dup /Encoding NextStepEncoding put definefont }{exch pop} ifelse }ifelse }ifelse }bind def }{pop}ifelse /_NXProcArray 5 array __NXdef /_NXChannels 0 __NXdef /_NXTotalBytes 0 __NXdef /_NXDoImageOp{ 1 index{dup}{1}ifelse /_NXChannels exch store _NXChannels 2 add 2 roll _NXProcArray 0 _NXChannels getinterval astore pop 5 index 4 index mul 2 index{1 sub 8 idiv 1 add mul}{mul 1 sub 8 idiv 1 add}ifelse 4 index mul /_NXTotalBytes exch store pop exch pop gsave matrix invertmatrix concat 0.5 setgray 0 0 4 2 roll rectfill grestore { 0 1 _NXChannels 1 sub{ _NXProcArray exch get exec length _NXTotalBytes exch sub /_NXTotalBytes exch store}for _NXTotalBytes 0 le{exit}if }loop /_NXProcArray 5 array def }__NXbdef /colorimage{_NXDoImageOp}__NXbdef /alphaimage{1 add _NXDoImageOp}def gsave
/__NXbasematrix matrix currentmatrix def grestore /oval { translate scale newpath 0.5 0.5 0.5 0 360 arc } def /line { moveto rlineto stroke } def /setup { setlinewidth setlinecap setlinejoin gsave } def /arrow { newpath moveto dup rotate -13 6 rlineto 4 -6 rlineto -4 -6 rlineto closepath gsave 0 setlinejoin stroke grestore fill neg rotate } def 0 0 792 1008 rectclip 1.435897 174 545.564087 545 rectclip 1.435897 174 545.564087 545 rectclip 0 setgray 0.333333 setgray 0 0 0 setup gsave 0 setgray 1 setalpha 10 10 122 410 oval fill grestore 0 setgray 10 10 122 410 oval matrix defaultmatrix setmatrix stroke grestore 0 setgray 0.333333 setgray 0 0 0 setup gsave 0 setgray 1 setalpha 10 10 223 289 oval fill grestore 0 setgray 10 10 223 289 oval matrix defaultmatrix setmatrix stroke grestore 0 setgray 0.333333 setgray 0 0 0 setup gsave 0 setgray 1 setalpha 10 10 372 429 oval fill grestore 0 setgray 1 setalpha 10 10 372 429 oval matrix defaultmatrix setmatrix stroke grestore 0 setgray 0.333333 setgray 0 0 2.564103 setup 0 setgray 1 setalpha 484 -22 19 597 line grestore 0 setgray 0.333333 setgray 0 0 2.564103 setup
0 setgray 426 204 41 343 line grestore 0 setgray 0.333333 setgray 0 0 2.564103 setup 0 setgray 495 60 16 311 line grestore 0 setgray 0.333333 setgray 0 0 2.564103 setup 0 setgray 1 setalpha 469 -241 25 567 line grestore 0 0 2.564103 setup gsave /Helvetica findfont 18 scalefont [1 0 0 -1 0 0] makefont 39 exch defineuserobject 39 execuserobject setfont 0 setgray [1 0 0 -1 0 1148] concat 39 execuserobject setfont 0 setgray 511 580 moveto (1) show grestore grestore 0 0 2.564103 setup gsave 39 execuserobject setfont 0 setgray [1 0 0 -1 0 1152] concat 39 execuserobject setfont 0 setgray 11 582 moveto (2) show grestore grestore 0 0 2.564103 setup gsave 39 execuserobject setfont 0 setgray [1 0 0 -1 0 1094] concat 39 execuserobject setfont 0 setgray 476 553 moveto (3) show grestore grestore 0 0 2.564103 setup gsave 39 execuserobject setfont 0 setgray [1 0 0 -1 0 760] concat 39 execuserobject setfont 0 setgray 509 386 moveto (4) show grestore
grestore 0 0 0 setup gsave 39 execuserobject setfont 0 setgray [1 0 0 -1 0 388] concat 39 execuserobject setfont 0 setgray 72 196 moveto (14 dichotomies of 4 points in 2 dimensions) show grestore grestore 0 setgray 0.333333 setgray 0 0 0 setup gsave 0 setgray 1 setalpha 10 10 337 595 oval fill grestore 0 setgray 10 10 337 595 oval matrix defaultmatrix setmatrix stroke grestore 0 setgray 0.333333 setgray 0 0 2.564103 setup 0 setgray 1 setalpha 473 -29 25 667 line grestore 0 0 2.564103 setup gsave 39 execuserobject setfont 0 setgray [1 0 0 -1 0 1273] concat 39 execuserobject setfont 0 setgray 516 639 moveto (5) show grestore grestore 0 setgray 0.333333 setgray 0 0 2.564103 setup 0 setgray 1 setalpha 57 441 317 247 line grestore 0 0 2.564103 setup gsave 39 execuserobject setfont 0 setgray [1 0 0 -1 0 1347] concat 39 execuserobject setfont 0 setgray 389 676 moveto (6) show grestore grestore 0 setgray 0.333333 setgray 0 0 2.564103 setup
0 setgray 1 setalpha 57 441 163 245 line grestore 0 0 2.564103 setup gsave 39 execuserobject setfont 0 setgray [1 0 0 -1 0 1381] concat 39 execuserobject setfont 0 setgray 226 693 moveto (7) show grestore grestore 0 setgray 0.333333 setgray gsave 0 0 792 1008 rectclip [1 0 0 -1 0 1008] concat grestore count __NXEPSOpCount sub {pop} repeat countdictstack __NXEPSDictCount sub {end} repeat __NXEPSSave restore grestore grestore 0 setgray 0.333333 setgray gsave 0 0 540 720 rectclip [1 0 0 -1 0 720] concat grestore grestore %%EndDocument @endspecial 342 1527 a(Figure)g(8.1:)j(Dic)o(hotomizing)11 b(P)o(oin)o(ts)j(in)f(Tw)o(o)h(Dimensions)212 1617 y(The)h(n)o(um)o(b)q(er)e (of)g(dic)o(hotomies)f(ac)o(hiev)n(able)i(b)o(y)f(h)o(yp)q(erplanes)i(dep)q (ends)h(on)d(ho)o(w)150 1667 y(the)g(patterns)g(are)f(disp)q(osed.)18 b(F)m(or)12 b(the)h(maxim)n(um)8 b(n)o(um)o(b)q(er)j(of)g(linear)h(dic)o (hotomies,)150 1716 y(the)21 b(p)q(oin)o(ts)e(m)o(ust)g(b)q(e)i(in)e(what)h (is)g(called)f Fn(gener)n(al)h(p)n(osition)p Fs(.)37 b(F)m(or)19 b Fp(m)j(>)g(n)p Fs(,)f(w)o(e)150 1766 y(sa)o(y)14 b(that)h(a)f(set)h(of)f Fp(m)h Fs(p)q(oin)o(ts)g(is)f(in)g Fn(gener)n(al)h(p)n(osition)g Fs(in)f(an)g Fp(n)p Fs(-dimensional)e(space)150 1816 y(if)17 b(and)h(only)f(if)g(no)g(subset)j(of)d(\()p Fp(n)12 b Fs(+)g(1\))18 b(p)q(oin)o(ts)g(lies)f(on)h(an)f(\()p Fp(n)12 b Fr(\000)h Fs(1\)-dimensional)150 1866 y(h)o(yp)q(erplane.)29 b(When)17 b Fp(m)h Fr(\024)f Fp(n)p Fs(,)g(a)g(set)i(of)d Fp(m)i Fs(p)q(oin)o(ts)f(is)g (in)g(general)g(p)q(osition)g(if)f(no)150 1916 y(\()p Fp(m)10 b Fr(\000)f Fs(2\)-dimensional)i(h)o(yp)q(erplane)j(con)o(tains)g(the)h(set.) j(Th)o(us,)c(for)g(example,)e(a)h(set)150 1966 y(of)k Fp(m)g Fr(\025)g Fs(4)g(p)q(oin)o(ts)g(is)g(in)g(general)g(p)q(osition)f(in)h(a)g (three-dimensional)f(space)i(if)e(no)150 2015 y(four)e(of)f(them)h(lie)f(on)h (a)g(\(t)o(w)o(o-dimensional\))e(plane.)18 b(W)m(e)c(will)f(denote)i(the)g(n) o(um)o(b)q(er)150 2065 y(of)h(linear)g(dic)o(hotomies)f(of)h Fp(m)h Fs(p)q(oin)o(ts)f(in)g(general)h(p)q(osition)e(in)h(an)h Fp(n)p Fs(-dimensional)150 2115 y(space)e(b)o(y)f(the)g(expression)h(\005)621 2121 y Fo(L)646 2115 y Fs(\()p Fp(m;)7 b(n)p Fs(\).)212 2170 y(It)14 b(is)g(not)g(to)q(o)f(di\016cult)h(to)f(v)o(erify)h(that:)677 b Fm(Include)12 b(the)1529 2203 y(deriv)n(ation.)389 2279 y
Fs(\005)420 2285 y Fo(L)445 2279 y Fs(\()p Fp(m;)7 b(n)p Fs(\))12 b(=)f(2)660 2227 y Fo(n)640 2240 y Fe(X)643 2328 y Fo(i)p Fm(=0)707 2279 y Fp(C)s Fs(\()p Fp(m)e Fr(\000)h Fs(1)p Fp(;)d(i)p Fs(\))83 b(for)13 b Fp(m)f(>)g(n;)7 b Fs(and)638 2434 y(=)12 b(2)703 2417 y Fo(m)831 2434 y Fs(for)i Fp(m)e Fr(\024)g Fp(n)150 2539 y Fj(Intr)n(o)n(duction)i(to)k(Machine)e(L)n(e)n(arning)757 2538 y Fi(c)746 2539 y Fh(\015)q Fi(1996)i(Nils)h(J.)e(Nilsson.)32 b(All)19 b(righ)o(ts)f(reserv)o(ed.)p eop %%Page: 126 10 126 9 bop 450 275 a Fs(126)187 b Fk(CHAPTER)14 b(8.)31 b(COMPUT)m(A)m(TIONAL) 15 b(LEARNING)e(THEOR)m(Y)450 392 y Fs(where)i Fp(C)s Fs(\()p Fp(m)9 b Fr(\000)h Fs(1)p Fp(;)d(i)p Fs(\))13 b(is)h(the)h(binomial)10 b(co)q(e\016cien)o(t)1301 372 y Fm(\()p Fo(m)p Fd(\000)p Fm(1\)!)p 1272 382 167 2 v 1272 406 a(\()p Fo(m)p Fd(\000)p Fm(1)p Fd(\000)p Fo(i)p Fm(\)!)p Fo(i)p Fm(!)1443 392 y Fs(.)512 466 y(The)15 b(table)e(b)q(elo)o(w)h(sho)o(ws)g(some)f(v)n(alues)h(for)f(\005)1260 472 y Fo(L)1285 466 y Fs(\()p Fp(m;)7 b(n)p Fs(\).)p 512 555 873 2 v 512 565 V 511 615 2 50 v 671 600 a Fp(m)p 865 615 V 406 w(n)p 1384 615 V 511 665 V 537 650 a Fs(\(no.)18 b(of)13 b(patterns\))p 865 665 V 179 w(\(dimension\))p 1384 665 V 866 666 519 2 v 511 715 2 50 v 865 715 V 901 700 a(1)70 b(2)81 b(3)91 b(4)g(5)p 1384 715 V 512 716 873 2 v 512 726 V 511 776 2 50 v 679 761 a(1)p 865 776 V 201 w(2)70 b(2)81 b(2)91 b(2)g(2)p 1384 776 V 512 778 873 2 v 511 827 2 50 v 679 813 a(2)p 865 827 V 199 w Ft(4)69 b Fs(4)81 b(4)91 b(4)g(4)p 1384 827 V 512 829 873 2 v 511 879 2 50 v 679 864 a(3)p 865 879 V 201 w(6)69 b Ft(8)79 b Fs(8)91 b(8)g(8)p 1384 879 V 512 881 873 2 v 511 930 2 50 v 679 915 a(4)p 865 930 V 201 w(8)60 b(14)d Ft(16)67 b Fs(16)j(16)p 1384 930 V 512 932 873 2 v 511 982 2 50 v 679 967 a(5)p 865 982 V 191 w(10)49 b(22)60 b(30)67 b Ft(32)g Fs(32)p 1384 982 V 512 984 873 2 v 511 1033 2 50 v 679 1018 a(6)p 865 1033 V 191 w(12)49 b(32)60 b(52)70 b(62)d Ft(64)p 1384 1033 V 512 1035 873 2 v 511 1085 2 50 v 679 1070 a Fs(7)p 865 1085 V 191 w(14)49 b(44)60 b(84)f(114)49 b(126)p 1384 1085 V 512 1086 873 2 v 511 1136 2 50 v 679 1121 a(8)p 865 1136 V 191 w(16)g(58)g(128)g(198)g(240)p 1384 1136 V 512 1138 873 2 v 511 1188 2 50 v 865 1188 V 450 1276 a(Note)17 b(that)g(the)g(class)h(of)e (linear)g(dic)o(hotomies)f(shatters)k(the)e Fp(m)g Fs(patterns)h(if)e Fp(m)h Fr(\024)450 1325 y Fp(n)10 b Fs(+)g(1.)22 b(The)15 b(b)q(old-face)g (en)o(tries)h(in)f(the)g(table)g(corresp)q(ond)i(to)e(the)h(highest)f(v)n (alues)450 1375 y(of)e Fp(m)i Fs(for)e(whic)o(h)h(linear)f(dic)o(hotomies)g (shatter)i Fp(m)f Fs(patterns)h(in)e Fp(n)h Fs(dimensions.)450 1518 y Fu(8.3.2)55 b(Capacit)n(y)450 1620 y Fs(Let)14 b Fp(P)551 1626 y Fo(m;n)624 1620 y Fs(=)673 1600 y Fm(\005)698 1604 y Fg(L)719 1600 y Fm(\()p Fo(m;n)p Fm(\))p 673 1610 133 2 v 717 1634 a(2)734 1626 y Fg(m)821 1620 y Fs(=)g(the)g(probabilit)o(y)d(that)j(a)f (randomly)e(selected)k(dic)o(hotom)o(y)450 1669 y(\(out)e(of)g(the)h(2)678 1654 y Fo(m)723 1669 y Fs(p)q(ossible)f(dic)o(hotomies)f(of)h Fp(m)h Fs(patterns)g(in)f Fp(n)g Fs(dimensions\))f(will)g(b)q(e)450 1719 y(linearly)17 b(separable.)31 b(In)18 b(Fig.)29 b(8.2)17 b(w)o(e)i(plot)e Fp(P)1224 1726 y Fo(\025)p Fm(\()p Fo(n)p Fm(+1\))p Fo(;n)1382 1719 y Fs(v)o(ersus)i Fp(\025)g Fs(and)e Fp(n)p Fs(,)i(where)450 1769 y Fp(\025)12 b Fs(=)g Fp(m=)p Fs(\()p Fp(n)d Fs(+)h(1\).)512 1836 y(Note)19 b(that)f(for)f(large)h Fp(n)g Fs(\(sa)o(y)f Fp(n)i(>)f Fs(30\))g(ho)o(w)f(quic)o(kly)g Fp(P)1452 1842 y Fo(m;n)1532 1836 y Fs(falls)f(from)g(1)i(to)450 1886 y(0)h(as)g Fp(m)g Fs(go)q(es)h(ab)q(o)o(v)o(e)f(2\()p Fp(n)12 b Fs(+)h(1\).)33 b(F)m(or)19 b Fp(m)i(<)f Fs(2\()p Fp(n)13 b Fs(+)g(1\),)19 b Fn(any)h Fs(dic)o(hotom)o(y)d(of)h(the)450
1936 y Fp(m)f Fs(p)q(oin)o(ts)g(is)f(almost)f(certainly)h(linearly)g (separable.)27 b(But)17 b(for)f Fp(m)h(>)f Fs(2\()p Fp(n)11 b Fs(+)h(1\),)k(a)450 1985 y(randomly)8 b(selected)k(dic)o(hotom)o(y)c(of)h (the)i Fp(m)f Fs(p)q(oin)o(ts)g(is)g(almost)e(certainly)i(not)g(linearly)450 2035 y(separable.)28 b(F)m(or)16 b(this)h(reason)h Fp(m)f Fs(=)g(2\()p Fp(n)11 b Fs(+)g(1\))17 b(is)g(called)f(the)i Fn(c)n(ap)n(acity)f Fs(of)f(a)h(TLU)450 2085 y([Co)o(v)o(er,)c(1965)o(].)k(Unless)c(the)f(n)o(um) o(b)q(er)f(of)h(training)e(patterns)k(exceeds)g(the)e(capacit)o(y)m(,)450 2135 y(the)18 b(fact)f(that)h(a)f(TLU)g(separates)i(those)f(training)e (patterns)j(according)e(to)h(their)450 2185 y(lab)q(els)13 b(means)f(nothing)g(in)h(terms)g(of)f(ho)o(w)h(w)o(ell)f(that)h(TLU)g(will)f (generalize)i(to)f(new)450 2234 y(patterns.)18 b(There)11 b(is)e(nothing)g (sp)q(ecial)h(ab)q(out)g(a)g(separation)f(found)h(for)f Fp(m)j(<)g Fs(2\()p Fp(n)q Fs(+)q(1\))450 2284 y(patterns|almost)e Fn(any)i Fs(dic)o(hotom)o(y)c(of)j(those)h(patterns)g(w)o(ould)e(ha)o(v)o(e)h(b)q(een) h(linearly)450 2334 y(separable.)18 b(T)m(o)11 b(mak)o(e)g(sure)i(that)e(the) i(separation)f(found)f(is)h(forced)h(b)o(y)e(the)i(training)450 2384 y(set)i(and)g(th)o(us)g(generalizes)g(w)o(ell,)f(it)g(has)h(to)f(b)q(e)h (the)g(case)h(that)e(there)i(are)f(v)o(ery)g(few)450 2434 y(linearly)e (separable)h(functions)g(that)g(w)o(ould)f(separate)i(the)g Fp(m)f Fs(training)f(patterns.)450 2539 y Fj(Intr)n(o)n(duction)h(to)k (Machine)e(L)n(e)n(arning)1057 2538 y Fi(c)1046 2539 y Fh(\015)q Fi(1996)i(Nils)h(J.)e(Nilsson.)32 b(All)19 b(righ)o(ts)f(reserv)o(ed.)p eop %%Page: 127 11 127 10 bop 150 275 a Fk(8.3.)31 b(THE)14 b(V)-5 b(APNIK-CHER)g(V)o(ONENKIS)16 b(DIMENSION)313 b Fs(127)375 1200 y @beginspecial -4 @llx 512 @lly 212 @urx 716 @ury 2160 @rwi @setspecial %%BeginDocument: Eight/capacity.eps /__NXdef{1 index where{pop pop pop}{def}ifelse}bind def /__NXbdef{1 index where{pop pop pop}{bind def}ifelse}bind def /UserObjects 10 array __NXdef /defineuserobject{ exch dup 1 add dup UserObjects length gt{ array dup 0 UserObjects putinterval /UserObjects exch def }{pop}ifelse UserObjects exch 3 -1 roll put }__NXbdef /undefineuserobject{UserObjects exch null put}__NXbdef /execuserobject{UserObjects exch get exec}__NXbdef /__NXRectPath{4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath}__NXbdef /__NXProcessRectArgs{ 1 index type /arraytype eq{ exch 0 4 2 index length 1 sub{ dup 3 add 1 exch{1 index exch get exch}for 5 1 roll 5 index exec }for pop pop }{exec}ifelse }__NXbdef /rectfill{gsave newpath {__NXRectPath fill} __NXProcessRectArgs grestore}__NXbdef /rectclip{newpath {__NXRectPath} __NXProcessRectArgs clip newpath}__NXbdef /rectstroke{ gsave newpath dup type /arraytype eq{dup length 6 eq}{false}ifelse{ {gsave __NXRectPath null concat stroke grestore} dup length array cvx copy dup 2 4 -1 roll put __NXProcessRectArgs }{{__NXRectPath stroke} __NXProcessRectArgs}ifelse grestore
}__NXbdef /xyshow{ 0 1 3 index length 1 sub{ currentpoint 4 index 3 index 1 getinterval show 3 index 3 index 2 mul 1 add get add exch 3 index 3 index 2 mul get add exch moveto pop }for pop pop }__NXbdef /xshow{ 0 1 3 index length 1 sub{ currentpoint 4 index 3 index 1 getinterval show exch 3 index 3 index get add exch moveto pop }for pop pop }__NXbdef /yshow{ 0 1 3 index length 1 sub{ currentpoint 4 index 3 index 1 getinterval show 3 index 3 index get add moveto pop }for pop pop }__NXbdef /arct{arcto pop pop pop pop}__NXbdef /setbbox{pop pop pop pop}__NXbdef /ucache{}__NXbdef /ucachestatus{mark 0 0 0 0 0}__NXbdef /setucacheparams{cleartomark}__NXbdef /uappend{systemdict begin cvx exec end}__NXbdef /ueofill{gsave newpath uappend eofill grestore}__NXbdef /ufill{gsave newpath uappend fill grestore}__NXbdef /ustroke{ gsave newpath dup length 6 eq {exch uappend concat}{uappend}ifelse stroke grestore }__NXbdef /__NXustrokepathMatrix dup where {pop pop}{matrix def}ifelse /ustrokepath{ newpath dup length 6 eq{ exch uappend __NXustrokepathMatrix currentmatrix exch concat strokepath setmatrix }{uappend strokepath}ifelse } __NXbdef /upath{ [exch {/ucache cvx}if pathbbox /setbbox cvx {/moveto cvx}{/lineto cvx}{/curveto cvx}{/closepath cvx}pathforall]cvx } __NXbdef /setstrokeadjust{pop}__NXbdef /currentstrokeadjust{false}__NXbdef /selectfont{exch findfont exch dup type /arraytype eq {makefont}{scalefont}ifelse setfont}__NXbdef /_NXCombineArrays{ counttomark dup 2 add index dup length 3 -1 roll { 2 index length sub dup 4 1 roll 1 index exch 4 -1 roll putinterval exch }repeat pop pop pop }__NXbdef /setcmykcolor{ 1.0 exch sub dup dup 6 -1 roll sub dup 0 lt{pop 0}if 5 1 roll 4 -1 roll sub dup 0 lt{pop 0}if 3 1 roll exch sub dup 0 lt{pop 0}if setrgbcolor }__NXbdef
/currentcmykcolor{currentrgbcolor 3{1.0 exch sub 3 1 roll}repeat 0}__NXbdef /flushgraphics{}def /setwindowtype{pop pop}def /currentwindowtype{pop 0}def /setalpha{pop}def /currentalpha{1.0}def /hidecursor{}def /obscurecursor{}def /revealcursor{}def /setcursor{4 {pop}repeat}bind def /showcursor{}def /NextStepEncoding where not{ /NextStepEncoding StandardEncoding 256 array copy def 0 [129/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/Ccedilla/Egrave /Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis /Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/Ugrave/Uacute /Ucircumflex/Udieresis/Yacute/Thorn/mu/multiply/divide/copyright 176/registered 181/brokenbar 190/logicalnot 192/onesuperior 201/twosuperior 204/threesuperior 209/plusminus/onequarter/onehalf/threequarters/agrave /aacute/acircumflex/atilde/adieresis/aring/ccedilla/egrave/eacute /ecircumflex/edieresis/igrave 226/iacute 228/icircumflex/idieresis/eth /ntilde 236/ograve/oacute/ocircumflex/otilde/odieresis 242/ugrave/uacute /ucircumflex 246/udieresis/yacute 252/thorn/ydieresis] {dup type /nametype eq {NextStepEncoding 2 index 2 index put pop 1 add}{exch pop}ifelse }forall pop /NextStepEncoding NextStepEncoding readonly def /_NXfstr 128 string dup 0 (_NX) putinterval def /findfont{ % Because we can never let NextStepEncoding get into % SharedFontDirectory, we cannot reencode a font to NextStepEncoding % if we are in shared mode. So if currentshared is true, % we call the normal findfont and return that /currentshared where {pop currentshared} {false} ifelse {//findfont exec} {dup _NXfstr 3 125 getinterval cvs length 3 add _NXfstr 0 3 -1 roll getinterval cvn exch FontDirectory 2 index known {pop FontDirectory exch get} {//findfont exec dup /Encoding get StandardEncoding eq { dup length dict exch {1 index /FID ne {2 index 3 1 roll put}{pop pop}ifelse}forall dup /Encoding NextStepEncoding put definefont }{exch pop} ifelse }ifelse }ifelse }bind def }{pop}ifelse /_NXProcArray 5 array __NXdef /_NXChannels 0 __NXdef /_NXTotalBytes 0 __NXdef /_NXDoImageOp{ 1 index{dup}{1}ifelse /_NXChannels exch store _NXChannels 2 add 2 roll _NXProcArray 0 _NXChannels getinterval astore pop 5 index 4 index mul 2 index{1 sub 8 idiv 1 add mul}{mul 1 sub 8 idiv 1 add}ifelse 4 index mul /_NXTotalBytes exch store pop exch pop gsave matrix invertmatrix concat 0.5 setgray 0 0 4 2 roll rectfill grestore { 0 1 _NXChannels 1 sub{ _NXProcArray exch get exec
length _NXTotalBytes exch sub /_NXTotalBytes exch store}for _NXTotalBytes 0 le{exit}if }loop /_NXProcArray 5 array def }__NXbdef /colorimage{_NXDoImageOp}__NXbdef /alphaimage{1 add _NXDoImageOp}def gsave -20 -28 translate /__NXbasematrix matrix currentmatrix def grestore /oval { translate scale newpath 0.5 0.5 0.5 0 360 arc } def /line { moveto rlineto stroke } def /setup { setlinewidth setlinecap setlinejoin gsave } def /arrow { newpath moveto dup rotate -13 6 rlineto 4 -6 rlineto -4 -6 rlineto closepath gsave 0 setlinejoin stroke grestore fill neg rotate } def gsave -4 512 216 204 rectclip -4 512 216 204 rectclip 0 setgray 0.333333 setgray 0 0 0 setup 1 setgray 1 517 206 194 rectfill 1.000000 517.000000 transform gsave __NXbasematrix setmatrix itransform translate 0 0 206 194 rectclip 0.600583 0.600619 scale -64 -245 translate /__NXEPSSave save def /showpage {} def 0 setgray 0 setlinecap 1 setlinewidth 0 setlinejoin 10 setmiterlimit [] 0 setdash newpath count /__NXEPSOpCount exch def /__NXEPSDictCount countdictstack def /__NXdef{1 index where{pop pop pop}{def}ifelse}bind def /__NXbdef{1 index where{pop pop pop}{bind def}ifelse}bind def /UserObjects 10 array __NXdef /defineuserobject{ exch dup 1 add dup UserObjects length gt{ array dup 0 UserObjects putinterval /UserObjects exch def }{pop}ifelse UserObjects exch 3 -1 roll put }__NXbdef /undefineuserobject{UserObjects exch null put}__NXbdef /execuserobject{UserObjects exch get exec}__NXbdef /__NXRectPath{4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath}__NXbdef /__NXProcessRectArgs{ 1 index type /arraytype eq{ exch 0 4 2 index length 1 sub{ dup 3 add 1 exch{1 index exch get exch}for 5 1 roll 5 index exec }for pop pop
}{exec}ifelse }__NXbdef /rectfill{gsave newpath {__NXRectPath fill} __NXProcessRectArgs grestore}__NXbdef /rectclip{newpath {__NXRectPath} __NXProcessRectArgs clip newpath}__NXbdef /rectstroke{ gsave newpath dup type /arraytype eq{dup length 6 eq}{false}ifelse{ {gsave __NXRectPath null concat stroke grestore} dup length array cvx copy dup 2 4 -1 roll put __NXProcessRectArgs }{{__NXRectPath stroke} __NXProcessRectArgs}ifelse grestore }__NXbdef /xyshow{ 0 1 3 index length 1 sub{ currentpoint 4 index 3 index 1 getinterval show 3 index 3 index 2 mul 1 add get add exch 3 index 3 index 2 mul get add exch moveto pop }for pop pop }__NXbdef /xshow{ 0 1 3 index length 1 sub{ currentpoint 4 index 3 index 1 getinterval show exch 3 index 3 index get add exch moveto pop }for pop pop }__NXbdef /yshow{ 0 1 3 index length 1 sub{ currentpoint 4 index 3 index 1 getinterval show 3 index 3 index get add moveto pop }for pop pop }__NXbdef /arct{arcto pop pop pop pop}__NXbdef /setbbox{pop pop pop pop}__NXbdef /ucache{}__NXbdef /ucachestatus{mark 0 0 0 0 0}__NXbdef /setucacheparams{cleartomark}__NXbdef /uappend{systemdict begin cvx exec end}__NXbdef /ueofill{gsave newpath uappend eofill grestore}__NXbdef /ufill{gsave newpath uappend fill grestore}__NXbdef /ustroke{ gsave newpath dup length 6 eq {exch uappend concat}{uappend}ifelse stroke grestore }__NXbdef /__NXustrokepathMatrix dup where {pop pop}{matrix def}ifelse /ustrokepath{ newpath dup length 6 eq{ exch uappend __NXustrokepathMatrix currentmatrix exch concat strokepath setmatrix }{uappend strokepath}ifelse } __NXbdef /upath{ [exch {/ucache cvx}if pathbbox /setbbox cvx {/moveto cvx}{/lineto cvx}{/curveto cvx}{/closepath cvx}pathforall]cvx } __NXbdef /setstrokeadjust{pop}__NXbdef /currentstrokeadjust{false}__NXbdef /selectfont{exch findfont exch dup type /arraytype eq {makefont}{scalefont}ifelse setfont}__NXbdef /_NXCombineArrays{ counttomark dup 2 add index dup length 3 -1 roll {
2 index length sub dup 4 1 roll 1 index exch 4 -1 roll putinterval exch }repeat pop pop pop }__NXbdef /setcmykcolor{ 1.0 exch sub dup dup 6 -1 roll sub dup 0 lt{pop 0}if 5 1 roll 4 -1 roll sub dup 0 lt{pop 0}if 3 1 roll exch sub dup 0 lt{pop 0}if setrgbcolor }__NXbdef /currentcmykcolor{currentrgbcolor 3{1.0 exch sub 3 1 roll}repeat 0}__NXbdef /flushgraphics{}def /setwindowtype{pop pop}def /currentwindowtype{pop 0}def /setalpha{pop}def /currentalpha{1.0}def /hidecursor{}def /obscurecursor{}def /revealcursor{}def /setcursor{4 {pop}repeat}bind def /showcursor{}def /NextStepEncoding where not{ /NextStepEncoding StandardEncoding 256 array copy def 0 [129/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/Ccedilla/Egrave /Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis /Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/Ugrave/Uacute /Ucircumflex/Udieresis/Yacute/Thorn/mu/multiply/divide/copyright 176/registered 181/brokenbar 190/logicalnot 192/onesuperior 201/twosuperior 204/threesuperior 209/plusminus/onequarter/onehalf/threequarters/agrave /aacute/acircumflex/atilde/adieresis/aring/ccedilla/egrave/eacute /ecircumflex/edieresis/igrave 226/iacute 228/icircumflex/idieresis/eth /ntilde 236/ograve/oacute/ocircumflex/otilde/odieresis 242/ugrave/uacute /ucircumflex 246/udieresis/yacute 252/thorn/ydieresis] {dup type /nametype eq {NextStepEncoding 2 index 2 index put pop 1 add}{exch pop}ifelse }forall pop /NextStepEncoding NextStepEncoding readonly def /_NXfstr 128 string dup 0 (_NX) putinterval def /findfont{ % Because we can never let NextStepEncoding get into % SharedFontDirectory, we cannot reencode a font to NextStepEncoding % if we are in shared mode. So if currentshared is true, % we call the normal findfont and return that /currentshared where {pop currentshared} {false} ifelse {//findfont exec} {dup _NXfstr 3 125 getinterval cvs length 3 add _NXfstr 0 3 -1 roll getinterval cvn exch FontDirectory 2 index known {pop FontDirectory exch get} {//findfont exec dup /Encoding get StandardEncoding eq { dup length dict exch {1 index /FID ne {2 index 3 1 roll put}{pop pop}ifelse}forall dup /Encoding NextStepEncoding put definefont }{exch pop} ifelse }ifelse }ifelse }bind def }{pop}ifelse /_NXProcArray 5 array __NXdef /_NXChannels 0 __NXdef /_NXTotalBytes 0 __NXdef
/_NXDoImageOp{ 1 index{dup}{1}ifelse /_NXChannels exch store _NXChannels 2 add 2 roll _NXProcArray 0 _NXChannels getinterval astore pop 5 index 4 index mul 2 index{1 sub 8 idiv 1 add mul}{mul 1 sub 8 idiv 1 add}ifelse 4 index mul /_NXTotalBytes exch store pop exch pop gsave matrix invertmatrix concat 0.5 setgray 0 0 4 2 roll rectfill grestore { 0 1 _NXChannels 1 sub{ _NXProcArray exch get exec length _NXTotalBytes exch sub /_NXTotalBytes exch store}for _NXTotalBytes 0 le{exit}if }loop /_NXProcArray 5 array def }__NXbdef /colorimage{_NXDoImageOp}__NXbdef /alphaimage{1 add _NXDoImageOp}def gsave /__NXbasematrix matrix currentmatrix def grestore /oval { translate scale newpath 0.5 0.5 0.5 0 360 arc } def /line { moveto rlineto stroke } def /setup { setlinewidth setlinecap setlinejoin gsave } def /arrow { newpath moveto dup rotate -13 6 rlineto 4 -6 rlineto -4 -6 rlineto closepath gsave 0 setlinejoin stroke grestore fill neg rotate } def 0 0 792 1008 rectclip 64 245 343 323 rectclip 64 245 343 323 rectclip 0 setgray 0.333333 setgray 0 0 0 setup 1 setgray 78 281 282 282 rectfill 78.000000 281.000000 transform gsave __NXbasematrix setmatrix itransform translate 0 0 282 282 rectclip /__NXEPSSave save def /showpage {} def 0 setgray 0 setlinecap 1 setlinewidth 0 setlinejoin 10 setmiterlimit [] 0 setdash newpath count /__NXEPSOpCount exch def /__NXEPSDictCount countdictstack def 50 dict begin /Mnodistort true def /pageDashArray [4] def /nullDashArray [] def /Mmin { % 2 copy gt % { exch } if % pop % } bind def /Mmax { 2 copy p q Mmin min(p,q) % p q p q p q p>q? min(p,q) max(p,q) min(p,q)
% p q Mmax max(p,q) % p q p q
lt % p q p<q? { exch } if % max(p,q) min(p,q) pop % max(p,q) } bind def /Mpstart { MathPictureStart } bind def /Mpend { MathPictureEnd } bind def /Mscale { 0 1 0 1 5 -1 roll MathScale } bind def /Plain /Courier findfont def /Bold /Courier-Bold findfont def /Italic /Courier-Oblique findfont def /MathPictureStart { gsave newpath /Mtmatrix matrix currentmatrix def Plain Mfontsize scalefont setfont 0 setgray 0 setlinewidth } bind def /MathPictureEnd { grestore } bind def /Mdot { moveto 0 0 rlineto stroke } def /Mtetra { moveto lineto lineto lineto fill } def /Metetra { moveto lineto lineto lineto closepath gsave fill
} def /Mistroke { flattenpath 0 0 0 { 4 2 roll pop pop } { 4 -1 roll 2 index sub dup mul 4 -1 roll 2 index sub dup mul add sqrt 4 -1 roll add 3 1 roll } { stop } { stop } pathforall pop pop currentpoint stroke moveto currentdash 3 -1 roll add setdash } def /Mfstroke { stroke currentdash pop 0 setdash } def /Msboxa { newpath 5 -1 roll Mvboxa pop 6 -1 roll 5 -1 roll 4 -1 roll Msboxa1 5 -3 roll Msboxa1 [ 7 -2 roll [ 2 index 2 index
grestore 0 setgray stroke
10 -1 roll 9 -1 roll ] 6 1 roll 5 -2 roll ] } bind def /Msboxa1 { sub 2 div dup 2 index 1 add mul 3 -1 roll -1 add 3 -1 roll mul } bind def /Mvboxa { gsave newpath [ true 3 -1 roll { Mbbox 5 -1 roll { 0 5 1 roll } { 7 -1 roll exch sub (m) stringwidth pop .3 mul sub 7 1 roll 6 -1 roll 4 -1 roll Mmin 3 -1 roll 5 index add 5 -1 roll 4 -1 roll Mmax 4 -1 roll } ifelse false } forall { stop } if counttomark 1 add 4 roll ]
grestore } bind def /Mbbox { 0 0 moveto false charpath flattenpath pathbbox newpath } bind def /Mmin { 2 copy gt { exch } if pop } bind def /Mmax { 2 copy lt { exch } if pop } bind def /Mshowa { 4 -2 roll moveto 2 index Mtmatrix setmatrix Mvboxa 7 1 roll 6 -1 roll 5 -1 roll 4 -1 roll Mshowa1 4 1 roll Mshowa1 rmoveto currentpoint 0 1 4 index length -1 add { 2 index 4 index 2 index get 3 index add moveto 4 index exch get show } for pop pop pop pop Mgmatrix setmatrix } bind def /Mshowa1 { 2 copy add 4 1 roll sub
mul sub -2 div } bind def /MathScale { Mwidth Mheight Mlp translate scale /Mgmatrix matrix currentmatrix def /Msaveaa exch def /Msavebb exch def /Msavecc exch def /Msavedd exch def } bind def /Mlp { 3 copy Mlpfirst { Mnodistort { Mmin dup } if 4 index 2 index 2 index Mlprun 11 index 11 -1 roll 10 -4 roll Mlp1 8 index 9 -5 roll Mlp1 4 -1 roll and { exit } if 3 -1 roll pop pop } loop exch 3 1 roll 7 -3 roll pop pop pop } bind def /Mlpfirst { 3 -1 roll dup length 2 copy -2 add get aload pop pop pop 4 -2 roll -1 add
get aload pop pop pop 6 -1 roll 3 -1 roll 5 -1 roll sub dup /MsaveAx exch def div 4 1 roll exch sub dup /MsaveAy exch def div } bind def /Mlprun { 2 copy 4 index 0 get dup 4 1 roll Mlprun1 3 copy 8 -2 roll 9 -1 roll { 3 copy Mlprun1 3 copy 11 -3 roll /gt Mlpminmax 8 3 roll 11 -3 roll /lt Mlpminmax 8 3 roll } forall pop pop pop pop 3 1 roll pop pop aload pop 5 -1 roll aload pop exch 6 -1 roll Mlprun2 8 2 roll 4 -1 roll Mlprun2 6 2 roll 3 -1 roll Mlprun2 4 2 roll exch Mlprun2 6 2 roll } bind def /Mlprun1 { aload pop exch 6 -1 roll
5 -1 roll mul add 4 -2 roll mul 3 -1 roll add } bind def /Mlprun2 { 2 copy add 2 div 3 1 roll exch sub } bind def /Mlpminmax { cvx 2 index 6 index 2 index exec { 7 -3 roll 4 -1 roll } if 1 index 5 index 3 -1 roll exec { 4 1 roll pop 5 -1 roll aload pop pop 4 -1 roll aload pop [ 8 -2 roll pop 5 -2 roll pop 6 -2 roll pop 5 -1 roll ] 4 1 roll pop } { pop pop pop } ifelse } bind def /Mlp1 { 5 index 3 index sub 5 index 2 index mul 1 index le 1 index
0 le or dup not { 1 index 3 index div .99999 mul 8 -1 roll pop 7 1 roll } if 8 -1 roll 2 div 7 -2 roll pop sub 5 index 6 -3 roll pop pop mul sub exch } bind def /Mfontsize 12 def /Mleft 0.000000 def /Mbottom 282.000000 def /Mwidth 282.000000 def /Mheight 282.000000 def /Courier findfont 12 scalefont setfont MathPictureStart 0.02381 0.95238 0.02381 0.95238 [ [(0)] 0.05688 0.31214 1 0.933946 Msboxa [(1)] 0.1895 0.25994 0.96648 1 Msboxa [(2)] 0.33027 0.20455 0.862234 1 Msboxa [(3)] 0.47996 0.1457 0.757988 1 Msboxa [(4)] 0.63943 0.08304 0.653742 1 Msboxa [(10)] 0.71163 0.17227 -1 0.371027 Msboxa [(20)] 0.76712 0.25725 -1 0.350591 Msboxa [(30)] 0.81785 0.33494 -1 0.332288 Msboxa [(40)] 0.86441 0.40624 -1 0.315802 Msboxa [(50)] 0.90729 0.47191 -1 0.300874 Msboxa [(0)] 0.05375 0.32922 1 -0.390596 Msboxa [(0.25)] 0.04624 0.37629 1 -0.380668 Msboxa [(0.5)] 0.03847 0.425 1 -0.370357 Msboxa [(0.75)] 0.03042 0.47544 1 -0.359642 Msboxa [(1)] 0.02208 0.5277 1 -0.348498 Msboxa [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 setgray gsave 0.002 setlinewidth 0.06558 0.32026 moveto 0.64594 0.09301 lineto stroke
0.06123 0.3162 moveto 0.06993 0.32433 lineto stroke 0 setgray [(0)] 0.05688 0.31214 1 0.933946 Mshowa 0.19364 0.26422 moveto 0.20191 0.27278 lineto stroke 0 setgray [(1)] 0.1895 0.25994 0.96648 1 Mshowa 0.33416 0.20906 moveto 0.34194 0.21808 lineto stroke 0 setgray [(2)] 0.33027 0.20455 0.862234 1 Mshowa 0.48355 0.15044 moveto 0.49075 0.15993 lineto stroke 0 setgray [(3)] 0.47996 0.1457 0.757988 1 Mshowa 0.64269 0.08803 moveto 0.6492 0.09799 lineto stroke 0 setgray [(4)] 0.63943 0.08304 0.653742 1 Mshowa grestore gsave 0.002 setlinewidth 0.64594 0.09301 moveto 0.89589 0.47534 lineto stroke 0.70605 0.17434 moveto 0.69488 0.17848 lineto stroke 0 setgray [(10)] 0.71163 0.17227 -1 0.371027 Mshowa 0.76151 0.25922 moveto 0.75027 0.26316 lineto stroke 0 setgray [(20)] 0.76712 0.25725 -1 0.350591 Mshowa 0.81221 0.33682 moveto 0.80091 0.34057 lineto stroke 0 setgray [(30)] 0.81785 0.33494 -1 0.332288 Mshowa 0.85873 0.40803 moveto 0.84738 0.41162 lineto stroke 0 setgray [(40)] 0.86441 0.40624 -1 0.315802 Mshowa 0.90159 0.47362 moveto 0.89019 0.47705 lineto stroke 0 setgray [(50)] 0.90729 0.47191 -1 0.300874 Mshowa grestore gsave 0.002 setlinewidth
0.06558 0.32026 moveto 0.03248 0.52913 lineto stroke 0.0593 0.32706 moveto 0.07039 0.32273 lineto stroke 0 setgray [(0)] 0.05375 0.32922 1 -0.390596 Mshowa 0.05181 0.37417 moveto 0.06293 0.36993 lineto stroke 0 setgray [(0.25)] 0.04624 0.37629 1 -0.380668 Mshowa 0.04405 0.42293 moveto 0.05522 0.41879 lineto stroke 0 setgray [(0.5)] 0.03847 0.425 1 -0.370357 Mshowa 0.03602 0.47342 moveto 0.04722 0.46939 lineto stroke 0 setgray [(0.75)] 0.03042 0.47544 1 -0.359642 Mshowa 0.0277 0.52574 moveto 0.03894 0.52183 lineto stroke 0 setgray [(1)] 0.02208 0.5277 1 -0.348498 Mshowa grestore 0 0 moveto 1 0 lineto 1 1 lineto 0 1 lineto closepath clip newpath 0 setgray gsave 0.002 setlinewidth 0.06558 0.32026 moveto 0.39347 0.6265 lineto stroke 0.06558 0.32026 moveto 0.03248 0.52913 lineto stroke 0.38687 0.8155 moveto 0.03248 0.52913 lineto stroke 0.38687 0.8155 moveto 0.39347 0.6265 lineto stroke 0.64594 0.09301 moveto 0.89589 0.47534 lineto stroke 0.64594 0.09301 moveto 0.65863 0.31163 lineto stroke 0.92319 0.67509 moveto 0.65863 0.31163 lineto
stroke 0.92319 0.67509 moveto 0.89589 0.47534 lineto stroke 0.06558 0.32026 moveto 0.03248 0.52913 lineto stroke 0.06558 0.32026 moveto 0.64594 0.09301 lineto stroke 0.65863 0.31163 moveto 0.64594 0.09301 lineto stroke 0.65863 0.31163 moveto 0.03248 0.52913 lineto stroke 0.39347 0.6265 moveto 0.38687 0.8155 lineto stroke 0.39347 0.6265 moveto 0.89589 0.47534 lineto stroke 0.92319 0.67509 moveto 0.89589 0.47534 lineto stroke 0.92319 0.67509 moveto 0.38687 0.8155 lineto stroke 0.06558 0.32026 moveto 0.64594 0.09301 lineto stroke 0.06558 0.32026 moveto 0.39347 0.6265 lineto stroke 0.89589 0.47534 moveto 0.39347 0.6265 lineto stroke 0.89589 0.47534 moveto 0.64594 0.09301 lineto stroke 0.03248 0.52913 moveto 0.65863 0.31163 lineto stroke 0.03248 0.52913 moveto 0.38687 0.8155 lineto stroke 0.92319 0.67509 moveto 0.38687 0.8155 lineto stroke 0.92319 0.67509 moveto 0.65863 0.31163 lineto stroke grestore 0.88095 setgray 0.0015 setlinewidth 0.37494 0.80091 0.38703 0.81073 0.40718 0.80543 0.3952 0.79554 Metetra 0.88095 setgray 0.3952 0.79554 0.40718 0.80543 0.4275 0.80009 0.41563 0.79011 Metetra 0.88095 setgray
0.41563 0.79011 0.4275 0.80009 0.448 0.7947 0.43623 0.78464 Metetra 0.88095 setgray 0.43623 0.78464 0.448 0.7947 0.46867 0.78927 0.45701 0.77912 Metetra 0.88095 setgray 0.45701 0.77912 0.46867 0.78927 0.48951 0.7838 0.47797 0.77356 Metetra 0.88095 setgray 0.47797 0.77356 0.48951 0.7838 0.51053 0.77827 0.49912 0.76795 Metetra 0.88095 setgray 0.49912 0.76795 0.51053 0.77827 0.53174 0.7727 0.52044 0.76228 Metetra 0.88095 setgray 0.52044 0.76228 0.53174 0.7727 0.55313 0.76708 0.54196 0.75656 Metetra 0.88092 setgray 0.54196 0.75656 0.55313 0.76708 0.5747 0.76111 0.56364 0.75007 Metetra 0.87806 setgray 0.56364 0.75007 0.5747 0.76111 0.59629 0.74954 0.58527 0.73441 Metetra 0.83978 setgray 0.58527 0.73441 0.59629 0.74954 0.61707 0.7134 0.60596 0.6899 Metetra 0.68751 setgray 0.60596 0.6899 0.61707 0.7134 0.63635 0.64878 0.62539 0.62321 Metetra 0.44124 setgray 0.62539 0.62321 0.63635 0.64878 0.65526 0.58957 0.64478 0.56977 Metetra 0.2431 setgray 0.64478 0.56977 0.65526 0.58957 0.67514 0.55667 0.66511 0.54209 Metetra 0.15186 setgray 0.66511 0.54209 0.67514 0.55667 0.69603 0.54199 0.68626 0.52943 Metetra 0.12523 setgray 0.68626 0.52943 0.69603 0.54199 0.71745 0.5338 0.70785 0.52164 Metetra 0.11991 setgray 0.70785 0.52164 0.71745 0.5338 0.73915 0.52703 0.72968 0.51484 Metetra 0.11914 setgray 0.72968 0.51484 0.73915 0.52703 0.76105 0.52043 0.75172 0.50815 Metetra 0.11906 setgray 0.75172 0.50815 0.76105 0.52043 0.78314 0.5138 0.77395 0.50141 Metetra 0.11905 setgray 0.77395 0.50141 0.78314 0.5138 0.80542 0.50711 0.79637 0.49462 Metetra 0.11905 setgray 0.79637 0.49462 0.80542 0.50711 0.8279 0.50037 0.81898 0.48777 Metetra 0.11905 setgray 0.81898 0.48777 0.8279 0.50037 0.85056 0.49357 0.84179 0.48086 Metetra 0.11905 setgray 0.84179 0.48086 0.85056 0.49357 0.87343 0.48671 0.8648 0.47389 Metetra 0.11905 setgray 0.8648 0.47389 0.87343 0.48671 0.8965 0.47979 0.88802 0.46686 Metetra 0.88095 setgray 0.36266 0.79095 0.37494 0.80091 0.3952 0.79554 0.38302 0.78549 Metetra 0.88095 setgray 0.38302 0.78549 0.3952 0.79554 0.41563 0.79011 0.40356 0.77998 Metetra 0.88095 setgray 0.40356 0.77998 0.41563 0.79011 0.43623 0.78464 0.42428 0.77442 Metetra 0.88095 setgray 0.42428 0.77442 0.43623 0.78464 0.45701 0.77912 0.44517 0.76881 Metetra 0.88095 setgray 0.44517 0.76881 0.45701 0.77912 0.47797 0.77356 0.46625 0.76316 Metetra 0.88095 setgray 0.46625 0.76316 0.47797 0.77356 0.49912 0.76795 0.48751 0.75745 Metetra 0.88095 setgray 0.48751 0.75745 0.49912 0.76795 0.52044 0.76228 0.50896 0.7517 Metetra 0.88095 setgray 0.50896 0.7517 0.52044 0.76228 0.54196 0.75656 0.5306 0.74588 Metetra
0.8809 setgray 0.5306 0.74588 0.54196 0.75656 0.56364 0.75007 0.55241 0.73916 Metetra 0.87755 setgray 0.55241 0.73916 0.56364 0.75007 0.58527 0.73441 0.57418 0.72277 Metetra 0.83694 setgray 0.57418 0.72277 0.58527 0.73441 0.60596 0.6899 0.59513 0.67788 Metetra 0.68422 setgray 0.59513 0.67788 0.60596 0.6899 0.62539 0.62321 0.61492 0.61198 Metetra 0.44256 setgray 0.61492 0.61198 0.62539 0.62321 0.64478 0.56977 0.63461 0.55886 Metetra 0.24705 setgray 0.63461 0.55886 0.64478 0.56977 0.66511 0.54209 0.65512 0.53067 Metetra 0.15446 setgray 0.65512 0.53067 0.66511 0.54209 0.68626 0.52943 0.67639 0.51749 Metetra 0.12614 setgray 0.67639 0.51749 0.68626 0.52943 0.70785 0.52164 0.6981 0.50943 Metetra 0.12012 setgray 0.6981 0.50943 0.70785 0.52164 0.72968 0.51484 0.72007 0.50248 Metetra 0.11917 setgray 0.72007 0.50248 0.72968 0.51484 0.75172 0.50815 0.74224 0.49567 Metetra 0.11906 setgray 0.74224 0.49567 0.75172 0.50815 0.77395 0.50141 0.7646 0.48883 Metetra 0.11905 setgray 0.7646 0.48883 0.77395 0.50141 0.79637 0.49462 0.78716 0.48193 Metetra 0.11905 setgray 0.78716 0.48193 0.79637 0.49462 0.81898 0.48777 0.80992 0.47497 Metetra 0.11905 setgray 0.80992 0.47497 0.81898 0.48777 0.84179 0.48086 0.83288 0.46794 Metetra 0.11905 setgray 0.83288 0.46794 0.84179 0.48086 0.8648 0.47389 0.85604 0.46086 Metetra 0.11905 setgray 0.85604 0.46086 0.8648 0.47389 0.88802 0.46686 0.87941 0.45371 Metetra 0.88095 setgray 0.35018 0.78083 0.36266 0.79095 0.38302 0.78549 0.37065 0.77528 Metetra 0.88095 setgray 0.37065 0.77528 0.38302 0.78549 0.40356 0.77998 0.3913 0.76968 Metetra 0.88095 setgray 0.3913 0.76968 0.40356 0.77998 0.42428 0.77442 0.41213 0.76403 Metetra 0.88095 setgray 0.41213 0.76403 0.42428 0.77442 0.44517 0.76881 0.43314 0.75833 Metetra 0.88095 setgray 0.43314 0.75833 0.44517 0.76881 0.46625 0.76316 0.45434 0.75259 Metetra 0.88095 setgray 0.45434 0.75259 0.46625 0.76316 0.48751 0.75745 0.47572 0.74679 Metetra 0.88095 setgray 0.47572 0.74679 0.48751 0.75745 0.50896 0.7517 0.49729 0.74094 Metetra 0.88095 setgray 0.49729 0.74094 0.50896 0.7517 0.5306 0.74588 0.51905 0.73502 Metetra 0.88088 setgray 0.51905 0.73502 0.5306 0.74588 0.55241 0.73916 0.541 0.72805 Metetra 0.87695 setgray 0.541 0.72805 0.55241 0.73916 0.57418 0.72277 0.56292 0.71087 Metetra 0.83388 setgray 0.56292 0.71087 0.57418 0.72277 0.59513 0.67788 0.58412 0.66564 Metetra 0.68082 setgray 0.58412 0.66564 0.59513 0.67788 0.61492 0.61198 0.60427 0.60057 Metetra 0.44391 setgray 0.60427 0.60057 0.61492 0.61198 0.63461 0.55886 0.62427 0.54781 Metetra 0.25118 setgray
0.62427 0.54781 0.63461 0.55886 0.65512 0.53067 0.64496 0.51912 Metetra 0.15729 setgray 0.64496 0.51912 0.65512 0.53067 0.67639 0.51749 0.66637 0.50539 Metetra 0.12719 setgray 0.66637 0.50539 0.67639 0.51749 0.6981 0.50943 0.6882 0.49703 Metetra 0.12037 setgray 0.6882 0.49703 0.6981 0.50943 0.72007 0.50248 0.7103 0.48992 Metetra 0.11922 setgray 0.7103 0.48992 0.72007 0.50248 0.74224 0.49567 0.73261 0.483 Metetra 0.11907 setgray 0.73261 0.483 0.74224 0.49567 0.7646 0.48883 0.75511 0.47604 Metetra 0.11905 setgray 0.75511 0.47604 0.7646 0.48883 0.78716 0.48193 0.77781 0.46903 Metetra 0.11905 setgray 0.77781 0.46903 0.78716 0.48193 0.80992 0.47497 0.80071 0.46195 Metetra 0.11905 setgray 0.80071 0.46195 0.80992 0.47497 0.83288 0.46794 0.82382 0.45481 Metetra 0.11905 setgray 0.82382 0.45481 0.83288 0.46794 0.85604 0.46086 0.84713 0.44761 Metetra 0.11905 setgray 0.84713 0.44761 0.85604 0.46086 0.87941 0.45371 0.87065 0.44034 Metetra 0.88095 setgray 0.3375 0.77054 0.35018 0.78083 0.37065 0.77528 0.35808 0.7649 Metetra 0.88095 setgray 0.35808 0.7649 0.37065 0.77528 0.3913 0.76968 0.37884 0.75921 Metetra 0.88095 setgray 0.37884 0.75921 0.3913 0.76968 0.41213 0.76403 0.39979 0.75347 Metetra 0.88095 setgray 0.39979 0.75347 0.41213 0.76403 0.43314 0.75833 0.42091 0.74769 Metetra 0.88095 setgray 0.42091 0.74769 0.43314 0.75833 0.45434 0.75259 0.44223 0.74184 Metetra 0.88095 setgray 0.44223 0.74184 0.45434 0.75259 0.47572 0.74679 0.46373 0.73595 Metetra 0.88095 setgray 0.46373 0.73595 0.47572 0.74679 0.49729 0.74094 0.48543 0.73001 Metetra 0.88095 setgray 0.48543 0.73001 0.49729 0.74094 0.51905 0.73502 0.50732 0.72398 Metetra 0.88086 setgray 0.50732 0.72398 0.51905 0.73502 0.541 0.72805 0.52939 0.71673 Metetra 0.87623 setgray 0.52939 0.71673 0.541 0.72805 0.56292 0.71087 0.55148 0.69873 Metetra 0.83058 setgray 0.55148 0.69873 0.56292 0.71087 0.58412 0.66564 0.57294 0.65318 Metetra 0.67731 setgray 0.57294 0.65318 0.58412 0.66564 0.60427 0.60057 0.59345 0.58898 Metetra 0.4453 setgray 0.59345 0.58898 0.60427 0.60057 0.62427 0.54781 0.61376 0.53662 Metetra 0.25549 setgray 0.61376 0.53662 0.62427 0.54781 0.64496 0.51912 0.63465 0.50743 Metetra 0.16037 setgray 0.63465 0.50743 0.64496 0.51912 0.66637 0.50539 0.65618 0.49313 Metetra 0.1284 setgray 0.65618 0.49313 0.66637 0.50539 0.6882 0.49703 0.67815 0.48444 Metetra 0.12068 setgray 0.67815 0.48444 0.6882 0.49703 0.7103 0.48992 0.70037 0.47717 Metetra 0.11928 setgray 0.70037 0.47717 0.7103 0.48992 0.73261 0.483 0.72282 0.47012 Metetra 0.11907 setgray 0.72282 0.47012 0.73261 0.483 0.75511 0.47604 0.74546 0.46304 Metetra
0.11905 setgray 0.74546 0.46304 0.75511 0.47604 0.77781 0.46903 0.7683 0.45592 Metetra 0.11905 setgray 0.7683 0.45592 0.77781 0.46903 0.80071 0.46195 0.79135 0.44872 Metetra 0.11905 setgray 0.79135 0.44872 0.80071 0.46195 0.82382 0.45481 0.81461 0.44147 Metetra 0.11905 setgray 0.81461 0.44147 0.82382 0.45481 0.84713 0.44761 0.83807 0.43414 Metetra 0.11905 setgray 0.83807 0.43414 0.84713 0.44761 0.87065 0.44034 0.86175 0.42676 Metetra 0.88095 setgray 0.32462 0.76009 0.3375 0.77054 0.35808 0.7649 0.34531 0.75436 Metetra 0.88095 setgray 0.34531 0.75436 0.35808 0.7649 0.37884 0.75921 0.36618 0.74858 Metetra 0.88095 setgray 0.36618 0.74858 0.37884 0.75921 0.39979 0.75347 0.38724 0.74275 Metetra 0.88095 setgray 0.38724 0.74275 0.39979 0.75347 0.42091 0.74769 0.40849 0.73686 Metetra 0.88095 setgray 0.40849 0.73686 0.42091 0.74769 0.44223 0.74184 0.42992 0.73092 Metetra 0.88095 setgray 0.42992 0.73092 0.44223 0.74184 0.46373 0.73595 0.45155 0.72493 Metetra 0.88095 setgray 0.45155 0.72493 0.46373 0.73595 0.48543 0.73001 0.47337 0.71889 Metetra 0.88095 setgray 0.47337 0.71889 0.48543 0.73001 0.50732 0.72398 0.49539 0.71276 Metetra 0.88082 setgray 0.49539 0.71276 0.50732 0.72398 0.52939 0.71673 0.5176 0.70518 Metetra 0.87539 setgray 0.5176 0.70518 0.52939 0.71673 0.55148 0.69873 0.53985 0.68632 Metetra 0.82702 setgray 0.53985 0.68632 0.55148 0.69873 0.57294 0.65318 0.56157 0.64049 Metetra 0.6737 setgray 0.56157 0.64049 0.57294 0.65318 0.59345 0.58898 0.58245 0.57721 Metetra 0.44672 setgray 0.58245 0.57721 0.59345 0.58898 0.61376 0.53662 0.60307 0.52528 Metetra 0.26 setgray 0.60307 0.52528 0.61376 0.53662 0.63465 0.50743 0.62416 0.49561 Metetra 0.16373 setgray 0.62416 0.49561 0.63465 0.50743 0.65618 0.49313 0.64583 0.48071 Metetra 0.1298 setgray 0.64583 0.48071 0.65618 0.49313 0.67815 0.48444 0.66792 0.47167 Metetra 0.12108 setgray 0.66792 0.47167 0.67815 0.48444 0.70037 0.47717 0.69029 0.46421 Metetra 0.11936 setgray 0.69029 0.46421 0.70037 0.47717 0.72282 0.47012 0.71287 0.45703 Metetra 0.11909 setgray 0.71287 0.45703 0.72282 0.47012 0.74546 0.46304 0.73565 0.44983 Metetra 0.11905 setgray 0.73565 0.44983 0.74546 0.46304 0.7683 0.45592 0.75864 0.44259 Metetra 0.11905 setgray 0.75864 0.44259 0.7683 0.45592 0.79135 0.44872 0.78184 0.43527 Metetra 0.11905 setgray 0.78184 0.43527 0.79135 0.44872 0.81461 0.44147 0.80524 0.4279 Metetra 0.11905 setgray 0.80524 0.4279 0.81461 0.44147 0.83807 0.43414 0.82886 0.42045 Metetra 0.11905 setgray 0.82886 0.42045 0.83807 0.43414 0.86175 0.42676 0.85269 0.41294 Metetra 0.88095 setgray
0.31153 0.74947 0.32462 0.76009 0.34531 0.75436 0.33233 0.74365 Metetra 0.88095 setgray 0.33233 0.74365 0.34531 0.75436 0.36618 0.74858 0.35332 0.73777 Metetra 0.88095 setgray 0.35332 0.73777 0.36618 0.74858 0.38724 0.74275 0.37449 0.73184 Metetra 0.88095 setgray 0.37449 0.73184 0.38724 0.74275 0.40849 0.73686 0.39585 0.72586 Metetra 0.88095 setgray 0.39585 0.72586 0.40849 0.73686 0.42992 0.73092 0.41741 0.71982 Metetra 0.88095 setgray 0.41741 0.71982 0.42992 0.73092 0.45155 0.72493 0.43916 0.71373 Metetra 0.88095 setgray 0.43916 0.71373 0.45155 0.72493 0.47337 0.71889 0.46111 0.70759 Metetra 0.88095 setgray 0.46111 0.70759 0.47337 0.71889 0.49539 0.71276 0.48326 0.70134 Metetra 0.88076 setgray 0.48326 0.70134 0.49539 0.71276 0.5176 0.70518 0.5056 0.6934 Metetra 0.87438 setgray 0.5056 0.6934 0.5176 0.70518 0.53985 0.68632 0.52803 0.67363 Metetra 0.82318 setgray 0.52803 0.67363 0.53985 0.68632 0.56157 0.64049 0.55003 0.62757 Metetra 0.66996 setgray 0.55003 0.62757 0.56157 0.64049 0.58245 0.57721 0.57126 0.56525 Metetra 0.44818 setgray 0.57126 0.56525 0.58245 0.57721 0.60307 0.52528 0.5922 0.5138 Metetra 0.26471 setgray 0.5922 0.5138 0.60307 0.52528 0.62416 0.49561 0.6135 0.48367 Metetra 0.16739 setgray 0.6135 0.48367 0.62416 0.49561 0.64583 0.48071 0.63532 0.46814 Metetra 0.13142 setgray 0.63532 0.46814 0.64583 0.48071 0.66792 0.47167 0.65754 0.45871 Metetra 0.12156 setgray 0.65754 0.45871 0.66792 0.47167 0.69029 0.46421 0.68003 0.45104 Metetra 0.11947 setgray 0.68003 0.45104 0.69029 0.46421 0.71287 0.45703 0.70275 0.44372 Metetra 0.11911 setgray 0.70275 0.44372 0.71287 0.45703 0.73565 0.44983 0.72568 0.43641 Metetra 0.11905 setgray 0.72568 0.43641 0.73565 0.44983 0.75864 0.44259 0.74882 0.42904 Metetra 0.11905 setgray 0.74882 0.42904 0.75864 0.44259 0.78184 0.43527 0.77216 0.4216 Metetra 0.11905 setgray 0.77216 0.4216 0.78184 0.43527 0.80524 0.4279 0.79572 0.4141 Metetra 0.11905 setgray 0.79572 0.4141 0.80524 0.4279 0.82886 0.42045 0.81949 0.40653 Metetra 0.11905 setgray 0.81949 0.40653 0.82886 0.42045 0.85269 0.41294 0.84349 0.39889 Metetra 0.88095 setgray 0.29822 0.73868 0.31153 0.74947 0.33233 0.74365 0.31913 0.73276 Metetra 0.88095 setgray 0.31913 0.73276 0.33233 0.74365 0.35332 0.73777 0.34024 0.72678 Metetra 0.88095 setgray 0.34024 0.72678 0.35332 0.73777 0.37449 0.73184 0.36153 0.72076 Metetra 0.88095 setgray 0.36153 0.72076 0.37449 0.73184 0.39585 0.72586 0.38301 0.71467 Metetra 0.88095 setgray 0.38301 0.71467 0.39585 0.72586 0.41741 0.71982 0.40469 0.70854 Metetra 0.88095 setgray 0.40469 0.70854 0.41741 0.71982 0.43916 0.71373 0.42656 0.70234 Metetra
0.88095 setgray 0.42656 0.70234 0.43916 0.71373 0.46111 0.70759 0.44864 0.6961 Metetra 0.88095 setgray 0.44864 0.6961 0.46111 0.70759 0.48326 0.70134 0.47092 0.68972 Metetra 0.88069 setgray 0.47092 0.68972 0.48326 0.70134 0.5056 0.6934 0.49341 0.68137 Metetra 0.87319 setgray 0.49341 0.68137 0.5056 0.6934 0.52803 0.67363 0.51601 0.66066 Metetra 0.81902 setgray 0.51601 0.66066 0.52803 0.67363 0.55003 0.62757 0.53829 0.6144 Metetra 0.66609 setgray 0.53829 0.6144 0.55003 0.62757 0.57126 0.56525 0.55989 0.5531 Metetra 0.44969 setgray 0.55989 0.5531 0.57126 0.56525 0.5922 0.5138 0.58115 0.50217 Metetra 0.26966 setgray 0.58115 0.50217 0.5922 0.5138 0.6135 0.48367 0.60266 0.4716 Metetra 0.17138 setgray 0.60266 0.4716 0.6135 0.48367 0.63532 0.46814 0.62462 0.45542 Metetra 0.13329 setgray 0.62462 0.45542 0.63532 0.46814 0.65754 0.45871 0.64698 0.44556 Metetra 0.12217 setgray 0.64698 0.44556 0.65754 0.45871 0.68003 0.45104 0.66961 0.43767 Metetra 0.11961 setgray 0.66961 0.43767 0.68003 0.45104 0.70275 0.44372 0.69247 0.43019 Metetra 0.11913 setgray 0.69247 0.43019 0.70275 0.44372 0.72568 0.43641 0.71554 0.42275 Metetra 0.11906 setgray 0.71554 0.42275 0.72568 0.43641 0.74882 0.42904 0.73883 0.41526 Metetra 0.11905 setgray 0.73883 0.41526 0.74882 0.42904 0.77216 0.4216 0.76232 0.4077 Metetra 0.11905 setgray 0.76232 0.4077 0.77216 0.4216 0.79572 0.4141 0.78604 0.40007 Metetra 0.11905 setgray 0.78604 0.40007 0.79572 0.4141 0.81949 0.40653 0.80997 0.39237 Metetra 0.11905 setgray 0.80997 0.39237 0.81949 0.40653 0.84349 0.39889 0.83412 0.38459 Metetra 0.88095 setgray 0.2847 0.72771 0.29822 0.73868 0.31913 0.73276 0.30572 0.72169 Metetra 0.88095 setgray 0.30572 0.72169 0.31913 0.73276 0.34024 0.72678 0.32694 0.71561 Metetra 0.88095 setgray 0.32694 0.71561 0.34024 0.72678 0.36153 0.72076 0.34835 0.70949 Metetra 0.88095 setgray 0.34835 0.70949 0.36153 0.72076 0.38301 0.71467 0.36995 0.7033 Metetra 0.88095 setgray 0.36995 0.7033 0.38301 0.71467 0.40469 0.70854 0.39175 0.69706 Metetra 0.88095 setgray 0.39175 0.69706 0.40469 0.70854 0.42656 0.70234 0.41375 0.69076 Metetra 0.88095 setgray 0.41375 0.69076 0.42656 0.70234 0.44864 0.6961 0.43596 0.68441 Metetra 0.88095 setgray 0.43596 0.68441 0.44864 0.6961 0.47092 0.68972 0.45837 0.67789 Metetra 0.88058 setgray 0.45837 0.67789 0.47092 0.68972 0.49341 0.68137 0.481 0.66908 Metetra 0.87177 setgray 0.481 0.66908 0.49341 0.68137 0.51601 0.66066 0.5038 0.64737 Metetra 0.81452 setgray 0.5038 0.64737 0.51601 0.66066 0.53829 0.6144 0.52636 0.60098 Metetra 0.66209 setgray
0.52636 0.60098 0.53829 0.6144 0.55989 0.5531 0.54832 0.54075 Metetra 0.45124 setgray 0.54832 0.54075 0.55989 0.5531 0.58115 0.50217 0.5699 0.49041 Metetra 0.27484 setgray 0.5699 0.49041 0.58115 0.50217 0.60266 0.4716 0.59163 0.45941 Metetra 0.17575 setgray 0.59163 0.45941 0.60266 0.4716 0.62462 0.45542 0.61376 0.44255 Metetra 0.13546 setgray 0.61376 0.44255 0.62462 0.45542 0.64698 0.44556 0.63624 0.43223 Metetra 0.12293 setgray 0.63624 0.43223 0.64698 0.44556 0.66961 0.43767 0.65901 0.42408 Metetra 0.11982 setgray 0.65901 0.42408 0.66961 0.43767 0.69247 0.43019 0.68201 0.41645 Metetra 0.11918 setgray 0.68201 0.41645 0.69247 0.43019 0.71554 0.42275 0.70523 0.40887 Metetra 0.11907 setgray 0.70523 0.40887 0.71554 0.42275 0.73883 0.41526 0.72867 0.40125 Metetra 0.11905 setgray 0.72867 0.40125 0.73883 0.41526 0.76232 0.4077 0.75232 0.39356 Metetra 0.11905 setgray 0.75232 0.39356 0.76232 0.4077 0.78604 0.40007 0.77619 0.38579 Metetra 0.11905 setgray 0.77619 0.38579 0.78604 0.40007 0.80997 0.39237 0.80028 0.37796 Metetra 0.11905 setgray 0.80028 0.37796 0.80997 0.39237 0.83412 0.38459 0.8246 0.37006 Metetra 0.88095 setgray 0.27095 0.71655 0.2847 0.72771 0.30572 0.72169 0.29209 0.71043 Metetra 0.88095 setgray 0.29209 0.71043 0.30572 0.72169 0.32694 0.71561 0.31342 0.70426 Metetra 0.88095 setgray 0.31342 0.70426 0.32694 0.71561 0.34835 0.70949 0.33495 0.69802 Metetra 0.88095 setgray 0.33495 0.69802 0.34835 0.70949 0.36995 0.7033 0.35667 0.69174 Metetra 0.88095 setgray 0.35667 0.69174 0.36995 0.7033 0.39175 0.69706 0.3786 0.68539 Metetra 0.88095 setgray 0.3786 0.68539 0.39175 0.69706 0.41375 0.69076 0.40073 0.67898 Metetra 0.88095 setgray 0.40073 0.67898 0.41375 0.69076 0.43596 0.68441 0.42306 0.67252 Metetra 0.88095 setgray 0.42306 0.67252 0.43596 0.68441 0.45837 0.67789 0.44561 0.66585 Metetra 0.88044 setgray 0.44561 0.66585 0.45837 0.67789 0.481 0.66908 0.46839 0.6565 Metetra 0.87009 setgray 0.46839 0.6565 0.481 0.66908 0.5038 0.64737 0.49138 0.63377 Metetra 0.80964 setgray 0.49138 0.63377 0.5038 0.64737 0.52636 0.60098 0.51424 0.58731 Metetra 0.65793 setgray 0.51424 0.58731 0.52636 0.60098 0.54832 0.54075 0.53655 0.52821 Metetra 0.45285 setgray 0.53655 0.52821 0.54832 0.54075 0.5699 0.49041 0.55846 0.4785 Metetra 0.2803 setgray 0.55846 0.4785 0.5699 0.49041 0.59163 0.45941 0.58042 0.44711 Metetra 0.18053 setgray 0.58042 0.44711 0.59163 0.45941 0.61376 0.44255 0.6027 0.42955 Metetra 0.13798 setgray 0.6027 0.42955 0.61376 0.44255 0.63624 0.43223 0.62533 0.41872 Metetra 0.12388 setgray 0.62533 0.41872 0.63624 0.43223 0.65901 0.42408 0.64824 0.41028 Metetra
0.12009 setgray 0.64824 0.41028 0.65901 0.42408 0.68201 0.41645 0.67138 0.40247 Metetra 0.11924 setgray 0.67138 0.40247 0.68201 0.41645 0.70523 0.40887 0.69475 0.39475 Metetra 0.11908 setgray 0.69475 0.39475 0.70523 0.40887 0.72867 0.40125 0.71834 0.38699 Metetra 0.11905 setgray 0.71834 0.38699 0.72867 0.40125 0.75232 0.39356 0.74214 0.37917 Metetra 0.11905 setgray 0.74214 0.37917 0.75232 0.39356 0.77619 0.38579 0.76617 0.37128 Metetra 0.11905 setgray 0.76617 0.37128 0.77619 0.38579 0.80028 0.37796 0.79042 0.36331 Metetra 0.11905 setgray 0.79042 0.36331 0.80028 0.37796 0.8246 0.37006 0.8149 0.35526 Metetra 0.88095 setgray 0.25696 0.70521 0.27095 0.71655 0.29209 0.71043 0.27822 0.69899 Metetra 0.88095 setgray 0.27822 0.69899 0.29209 0.71043 0.31342 0.70426 0.29967 0.69271 Metetra 0.88095 setgray 0.29967 0.69271 0.31342 0.70426 0.33495 0.69802 0.32132 0.68637 Metetra 0.88095 setgray 0.32132 0.68637 0.33495 0.69802 0.35667 0.69174 0.34316 0.67997 Metetra 0.88095 setgray 0.34316 0.67997 0.35667 0.69174 0.3786 0.68539 0.36522 0.67352 Metetra 0.88095 setgray 0.36522 0.67352 0.3786 0.68539 0.40073 0.67898 0.38747 0.667 Metetra 0.88095 setgray 0.38747 0.667 0.40073 0.67898 0.42306 0.67252 0.40994 0.66042 Metetra 0.88095 setgray 0.40994 0.66042 0.42306 0.67252 0.44561 0.66585 0.43262 0.65359 Metetra 0.88023 setgray 0.43262 0.65359 0.44561 0.66585 0.46839 0.6565 0.45556 0.64363 Metetra 0.86808 setgray 0.45556 0.64363 0.46839 0.6565 0.49138 0.63377 0.47876 0.61983 Metetra 0.80434 setgray 0.47876 0.61983 0.49138 0.63377 0.51424 0.58731 0.50191 0.57336 Metetra 0.65361 setgray 0.50191 0.57336 0.51424 0.58731 0.53655 0.52821 0.52458 0.51546 Metetra 0.45452 setgray 0.52458 0.51546 0.53655 0.52821 0.55846 0.4785 0.54681 0.46645 Metetra 0.28605 setgray 0.54681 0.46645 0.55846 0.4785 0.58042 0.44711 0.56901 0.43471 Metetra 0.18578 setgray 0.56901 0.43471 0.58042 0.44711 0.6027 0.42955 0.59146 0.41642 Metetra 0.14092 setgray 0.59146 0.41642 0.6027 0.42955 0.62533 0.41872 0.61423 0.40504 Metetra 0.12506 setgray 0.61423 0.40504 0.62533 0.41872 0.64824 0.41028 0.63728 0.39627 Metetra 0.12046 setgray 0.63728 0.39627 0.64824 0.41028 0.67138 0.40247 0.66057 0.38826 Metetra 0.11934 setgray 0.66057 0.38826 0.67138 0.40247 0.69475 0.39475 0.68409 0.38039 Metetra 0.1191 setgray 0.68409 0.38039 0.69475 0.39475 0.71834 0.38699 0.70782 0.3725 Metetra 0.11906 setgray 0.70782 0.3725 0.71834 0.38699 0.74214 0.37917 0.73179 0.36454 Metetra 0.11905 setgray 0.73179 0.36454 0.74214 0.37917 0.76617 0.37128 0.75598 0.35651 Metetra 0.11905 setgray
0.75598 0.35651 0.76617 0.37128 0.79042 0.36331 0.78039 0.3484 Metetra 0.11905 setgray 0.78039 0.3484 0.79042 0.36331 0.8149 0.35526 0.80504 0.34021 Metetra 0.88095 setgray 0.24275 0.69368 0.25696 0.70521 0.27822 0.69899 0.26412 0.68735 Metetra 0.88095 setgray 0.26412 0.68735 0.27822 0.69899 0.29967 0.69271 0.28569 0.68096 Metetra 0.88095 setgray 0.28569 0.68096 0.29967 0.69271 0.32132 0.68637 0.30745 0.67451 Metetra 0.88095 setgray 0.30745 0.67451 0.32132 0.68637 0.34316 0.67997 0.32942 0.668 Metetra 0.88095 setgray 0.32942 0.668 0.34316 0.67997 0.36522 0.67352 0.3516 0.66144 Metetra 0.88095 setgray 0.3516 0.66144 0.36522 0.67352 0.38747 0.667 0.37399 0.65481 Metetra 0.88095 setgray 0.37399 0.65481 0.38747 0.667 0.40994 0.66042 0.39659 0.64811 Metetra 0.88094 setgray 0.39659 0.64811 0.40994 0.66042 0.43262 0.65359 0.41941 0.64108 Metetra 0.87994 setgray 0.41941 0.64108 0.43262 0.65359 0.45556 0.64363 0.44251 0.63042 Metetra 0.86567 setgray 0.44251 0.63042 0.45556 0.64363 0.47876 0.61983 0.46594 0.60554 Metetra 0.79856 setgray 0.46594 0.60554 0.47876 0.61983 0.50191 0.57336 0.48938 0.55913 Metetra 0.64912 setgray 0.48938 0.55913 0.50191 0.57336 0.52458 0.51546 0.5124 0.5025 Metetra 0.45625 setgray 0.5124 0.5025 0.52458 0.51546 0.54681 0.46645 0.53495 0.45426 Metetra 0.29211 setgray 0.53495 0.45426 0.54681 0.46645 0.56901 0.43471 0.5574 0.42221 Metetra 0.19156 setgray 0.5574 0.42221 0.56901 0.43471 0.59146 0.41642 0.58003 0.40318 Metetra 0.14434 setgray 0.58003 0.40318 0.59146 0.41642 0.61423 0.40504 0.60294 0.39119 Metetra 0.12655 setgray 0.60294 0.39119 0.61423 0.40504 0.63728 0.39627 0.62613 0.38205 Metetra 0.12098 setgray 0.62613 0.38205 0.63728 0.39627 0.66057 0.38826 0.64957 0.37382 Metetra 0.11948 setgray 0.64957 0.37382 0.66057 0.38826 0.68409 0.38039 0.67324 0.36579 Metetra 0.11914 setgray 0.67324 0.36579 0.68409 0.38039 0.70782 0.3725 0.69713 0.35775 Metetra 0.11906 setgray 0.69713 0.35775 0.70782 0.3725 0.73179 0.36454 0.72125 0.34965 Metetra 0.11905 setgray 0.72125 0.34965 0.73179 0.36454 0.75598 0.35651 0.7456 0.34147 Metetra 0.11905 setgray 0.7456 0.34147 0.75598 0.35651 0.78039 0.3484 0.77019 0.33322 Metetra 0.11905 setgray 0.77019 0.33322 0.78039 0.3484 0.80504 0.34021 0.79501 0.32489 Metetra 0.88095 setgray 0.22829 0.68195 0.24275 0.69368 0.26412 0.68735 0.24977 0.67551 Metetra 0.88095 setgray 0.24977 0.67551 0.26412 0.68735 0.28569 0.68096 0.27146 0.66901 Metetra 0.88095 setgray 0.27146 0.66901 0.28569 0.68096 0.30745 0.67451 0.29335 0.66245 Metetra 0.88095 setgray 0.29335 0.66245 0.30745 0.67451 0.32942 0.668 0.31545 0.65583 Metetra
0.88095 setgray 0.31545 0.65583 0.32942 0.668 0.3516 0.66144 0.33775 0.64915 Metetra 0.88095 setgray 0.33775 0.64915 0.3516 0.66144 0.37399 0.65481 0.36027 0.6424 Metetra 0.88095 setgray 0.36027 0.6424 0.37399 0.65481 0.39659 0.64811 0.383 0.63558 Metetra 0.88093 setgray 0.383 0.63558 0.39659 0.64811 0.41941 0.64108 0.40596 0.62833 Metetra 0.87952 setgray 0.40596 0.62833 0.41941 0.64108 0.44251 0.63042 0.42924 0.61686 Metetra 0.8628 setgray 0.42924 0.61686 0.44251 0.63042 0.46594 0.60554 0.45289 0.59086 Metetra 0.79227 setgray 0.45289 0.59086 0.46594 0.60554 0.48938 0.55913 0.47664 0.54462 Metetra 0.64443 setgray 0.47664 0.54462 0.48938 0.55913 0.5124 0.5025 0.5 0.48934 Metetra 0.45805 setgray 0.5 0.48934 0.5124 0.5025 0.53495 0.45426 0.52288 0.44193 Metetra 0.29853 setgray 0.52288 0.44193 0.53495 0.45426 0.5574 0.42221 0.54558 0.40962 Metetra 0.19792 setgray 0.54558 0.40962 0.5574 0.42221 0.58003 0.40318 0.56839 0.38985 Metetra 0.14835 setgray 0.56839 0.38985 0.58003 0.40318 0.60294 0.39119 0.59146 0.37719 Metetra 0.12843 setgray 0.59146 0.37719 0.60294 0.39119 0.62613 0.38205 0.6148 0.36763 Metetra 0.12168 setgray 0.6148 0.36763 0.62613 0.38205 0.64957 0.37382 0.63838 0.35914 Metetra 0.11971 setgray 0.63838 0.35914 0.64957 0.37382 0.67324 0.36579 0.6622 0.35094 Metetra 0.1192 setgray 0.6622 0.35094 0.67324 0.36579 0.69713 0.35775 0.68625 0.34274 Metetra 0.11908 setgray 0.68625 0.34274 0.69713 0.35775 0.72125 0.34965 0.71053 0.3345 Metetra 0.11905 setgray 0.71053 0.3345 0.72125 0.34965 0.7456 0.34147 0.73505 0.32618 Metetra 0.11905 setgray 0.73505 0.32618 0.7456 0.34147 0.77019 0.33322 0.7598 0.31778 Metetra 0.11905 setgray 0.7598 0.31778 0.77019 0.33322 0.79501 0.32489 0.78479 0.3093 Metetra 0.88095 setgray 0.21358 0.67001 0.22829 0.68195 0.24977 0.67551 0.23518 0.66346 Metetra 0.88095 setgray 0.23518 0.66346 0.24977 0.67551 0.27146 0.66901 0.25699 0.65685 Metetra 0.88095 setgray 0.25699 0.65685 0.27146 0.66901 0.29335 0.66245 0.279 0.65018 Metetra 0.88095 setgray 0.279 0.65018 0.29335 0.66245 0.31545 0.65583 0.30122 0.64344 Metetra 0.88095 setgray 0.30122 0.64344 0.31545 0.65583 0.33775 0.64915 0.32366 0.63664 Metetra 0.88095 setgray 0.32366 0.63664 0.33775 0.64915 0.36027 0.6424 0.34631 0.62977 Metetra 0.88095 setgray 0.34631 0.62977 0.36027 0.6424 0.383 0.63558 0.36917 0.62283 Metetra 0.88091 setgray 0.36917 0.62283 0.383 0.63558 0.40596 0.62833 0.39228 0.61529 Metetra 0.87893 setgray 0.39228 0.61529 0.40596 0.62833 0.42924 0.61686 0.41574 0.6029 Metetra 0.85934 setgray
0.41574 0.6029 0.42924 0.61686 0.45289 0.59086 0.43964 0.57578 Metetra 0.78538 setgray 0.43964 0.57578 0.45289 0.59086 0.47664 0.54462 0.46368 0.5298 Metetra 0.63953 setgray 0.46368 0.5298 0.47664 0.54462 0.5 0.48934 0.48738 0.47596 Metetra 0.45994 setgray 0.48738 0.47596 0.5 0.48934 0.52288 0.44193 0.51058 0.42947 Metetra 0.30535 setgray 0.51058 0.42947 0.52288 0.44193 0.54558 0.40962 0.53354 0.39697 Metetra 0.20496 setgray 0.53354 0.39697 0.54558 0.40962 0.56839 0.38985 0.55655 0.37644 Metetra 0.15304 setgray 0.55655 0.37644 0.56839 0.38985 0.59146 0.37719 0.57978 0.36306 Metetra 0.13079 setgray 0.57978 0.36306 0.59146 0.37719 0.6148 0.36763 0.60326 0.35302 Metetra 0.12265 setgray 0.60326 0.35302 0.6148 0.36763 0.63838 0.35914 0.627 0.34424 Metetra 0.12004 setgray 0.627 0.34424 0.63838 0.35914 0.6622 0.35094 0.65097 0.33583 Metetra 0.1193 setgray 0.65097 0.33583 0.6622 0.35094 0.68625 0.34274 0.67518 0.32748 Metetra 0.11911 setgray 0.67518 0.32748 0.68625 0.34274 0.71053 0.3345 0.69962 0.31908 Metetra 0.11906 setgray 0.69962 0.31908 0.71053 0.3345 0.73505 0.32618 0.7243 0.31061 Metetra 0.11905 setgray 0.7243 0.31061 0.73505 0.32618 0.7598 0.31778 0.74922 0.30206 Metetra 0.11905 setgray 0.74...