hw7_2011_05_20_02_solutions

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Unformatted text preview: %!PS-Adobe-2.0 %%Creator: dvips(k) 5.98 Copyright 2009 Radical Eye Software %%Title: hw7.dvi %%CreationDate: Mon May 23 14:41:53 2011 %%Pages: 16 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentFonts: CMR10 CMR9 CMBX12 CMBXTI10 CMMI10 CMSY10 MSBM10 CMR7 %%+ CMTI10 CMBX10 CMEX10 CMMI7 CMSY7 CMR5 CMMI5 CMTT10 Helvetica CMCSC10 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -o hw7.ps hw7.dvi %DVIPSParameters: dpi=600 %DVIPSSource: TeX output 2011.05.23:1441 %%BeginProcSet: tex.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 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 IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/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 A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 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 A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 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/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/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: psfrag.pro 0 0 %% %% This is file `psfrag.pro', %% generated with the docstrip utility. %% %% The original source files were: %% %% psfrag.dtx (with options: `filepro') %% %% Copyright (c) 1996 Craig Barratt, Michael C. 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Jones %Copyright: Copyright (c) 1997, 2009 American Mathematical Society %Copyright: (<http://www.ams.org>), with Reserved Font Name CMR7. % This Font Software is licensed under the SIL Open Font License, Version 1.1. % This license is in the accompanying file OFL.txt, and is also % available with a FAQ at: http://scripts.sil.org/OFL. %%EndComments FontDirectory/CMR7 known{/CMR7 findfont dup/UniqueID known{dup /UniqueID get 5000790 eq exch/FontType get 1 eq and}{pop false}ifelse {save true}{false}ifelse}{false}ifelse 11 dict begin /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0 ]readonly def /FontName /CMR7 def /FontBBox {-27 -250 1122 750 }readonly def /UniqueID 5000790 def /PaintType 0 def /FontInfo 9 dict dup begin /version (003.002) readonly def /Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \ 050<http://www.ams.org>\051, with Reserved Font Name CMR7.) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) 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copy @MN @MN 3{dup 5 -1 roll sub neg exch}repeat}bd/rgb2g{2 index .299 mul 2 index .587 mul add 1 index .114 mul add 4 1 roll pop pop pop}bd/WaldoColor_5 where{pop}{/SetRgb /setrgbcolor ld/GetRgb/currentrgbcolor ld/SetGry/setgray ld/GetGry/currentgray ld/SetRgb2 systemdict/setrgbcolor get def/GetRgb2 systemdict/currentrgbcolor get def/SetHsb systemdict/sethsbcolor get def/GetHsb systemdict /currenthsbcolor get def/rgb2hsb{SetRgb2 GetHsb}bd/hsb2rgb{3 -1 roll dup floor sub 3 1 roll SetHsb GetRgb2}bd/setcmykcolor where{pop/LumSepsDict where{pop /SetCmyk_5{LumSepsDict/setcmykcolor get exec}def}{/AldusSepsDict where{pop /SetCmyk_5{AldusSepsDict/setcmykcolor get exec}def}{/SetCmyk_5/setcmykcolor ld }ifelse}ifelse}{/SetCmyk_5{cmyk2rgb SetRgb}bd}ifelse/currentcmykcolor where{ pop/GetCmyk/currentcmykcolor ld}{/GetCmyk{GetRgb rgb2cmyk}bd}ifelse /setoverprint where{pop}{/setoverprint{/$op xd}bd}ifelse/currentoverprint where {pop}{/currentoverprint{$op}bd}ifelse/@tc_5{5 -1 roll dup 1 ge{pop}{4{dup 6 -1 roll mul exch}repeat pop}ifelse}bd/@trp{exch pop 5 1 roll @tc_5}bd /setprocesscolor_5{SepMode_5 0 eq{SetCmyk_5}{0 4 $ink_5 sub index exch pop 5 1 roll pop pop pop pop SepsColor true eq{$ink_5 3 gt{1 sub neg SetGry}{0 0 0 4 $ink_5 roll SetCmyk_5}ifelse}{1 sub neg SetGry}ifelse}ifelse}bd /findcmykcustomcolor where{pop}{/findcmykcustomcolor{5 array astore}bd}ifelse /Corelsetcustomcolor_exists false def/setcustomcolor where{pop /Corelsetcustomcolor_exists true def}if CorelIsSeps true eq CorelIsInRIPSeps false eq and{/Corelsetcustomcolor_exists false def}if Corelsetcustomcolor_exists false eq{/setcustomcolor{exch aload pop SepMode_5 0 eq{pop @tc_5 setprocesscolor_5}{CurrentInkName_5 eq{4 index}{0}ifelse 6 1 roll 5 rp 1 sub neg SetGry}ifelse}bd}if/@scc_5{dup type/booleantype eq{dup currentoverprint ne{setoverprint}{pop}ifelse}{1 eq setoverprint}ifelse dup _ eq {pop setprocesscolor_5 pop}{findcmykcustomcolor exch setcustomcolor}ifelse SepMode_5 0 eq{true}{GetGry 1 eq currentoverprint and not}ifelse}bd/colorimage where{pop/ColorImage{colorimage}def}{/ColorImage{/ncolors xd/$multi xd $multi true eq{ncolors 3 eq{/daqB xd/daqG xd/daqR xd pop pop exch pop abs{daqR pop daqG pop daqB pop}repeat}{/daqK xd/daqY xd/daqM xd/daqC xd pop pop exch pop abs {daqC pop daqM pop daqY pop daqK pop}repeat}ifelse}{/dataaq xd{dataaq ncolors dup 3 eq{/$dat xd 0 1 $dat length 3 div 1 sub{dup 3 mul $dat 1 index get 255 div $dat 2 index 1 add get 255 div $dat 3 index 2 add get 255 div rgb2g 255 mul cvi exch pop $dat 3 1 roll put}for $dat 0 $dat length 3 idiv getinterval pop}{ 4 eq{/$dat xd 0 1 $dat length 4 div 1 sub{dup 4 mul $dat 1 index get 255 div $dat 2 index 1 add get 255 div $dat 3 index 2 add get 255 div $dat 4 index 3 add get 255 div cmyk2rgb rgb2g 255 mul cvi exch pop $dat 3 1 roll put}for $dat 0 $dat length ncolors idiv getinterval}if}ifelse}image}ifelse}bd}ifelse /setcmykcolor{1 5 1 roll _ currentoverprint @scc_5/$ffpnt xd}bd /currentcmykcolor{GetCmyk}bd/setrgbcolor{rgb2cmyk setcmykcolor}bd /currentrgbcolor{currentcmykcolor cmyk2rgb}bd/sethsbcolor{hsb2rgb setrgbcolor} bd/currenthsbcolor{currentrgbcolor rgb2hsb}bd/setgray{dup dup setrgbcolor}bd /currentgray{currentrgbcolor rgb2g}bd/InsideDCS false def/IMAGE/image ld/image {InsideDCS{IMAGE}{/EPSDict where{pop SepMode_5 0 eq{IMAGE}{dup type/dicttype eq {dup/ImageType get 1 ne{IMAGE}{dup dup/BitsPerComponent get 8 eq exch /BitsPerComponent get 1 eq or currentcolorspace 0 get/DeviceGray eq and{ CurrentInkName_5(Black)eq{IMAGE}{dup/DataSource get/TCC xd/Height get abs{TCC pop}repeat}ifelse}{IMAGE}ifelse}ifelse}{2 index 1 ne{CurrentInkName_5(Black)eq {IMAGE}{/TCC xd pop pop exch pop abs{TCC pop}repeat}ifelse}{IMAGE}ifelse} ifelse}ifelse}{IMAGE}ifelse}ifelse}bd}ifelse/WaldoColor_5 true def/$fm 0 def /wfill{1 $fm eq{fill}{eofill}ifelse}bd/@Pf{@sv SepMode_5 0 eq $Psc 0 ne or $ink_5 3 eq or{0 J 0 j0 d $t $c $m $y $k $n $o @scc_5 pop $ctm setmatrix 72 1000 div dup matrix scale dup concat dup Bburx exch Bbury exch itransform ceiling cvi/Bbury xd ceiling cvi/Bburx xd Bbllx exch Bblly exch itransform floor cvi/Bblly xd floor cvi/Bbllx xd $Prm aload pop $Psn load exec}{1 SetGry wfill}ifelse @rs @np}bd/F{matrix currentmatrix $sdf{$scf $sca $scp @ss}if $fil 1 eq{CorelPtrnDoFill}{$fil 2 eq{@ff}{$fil 3 eq{@Pf}{$fil 4 eq {CorelShfillDoFill}{$t $c $m $y $k $n $o @scc_5{wfill}{@np}ifelse}ifelse} ifelse}ifelse}ifelse $sdf{$dsf $dsa $dsp @ss}if setmatrix}bd/f{@cp F}bd/S{ matrix currentmatrix $ctm setmatrix $SDF{$SCF $SCA $SCP @ss}if $T $C $M $Y $K $N $O @scc_5{matrix currentmatrix $ptm concat stroke setmatrix}{@np}ifelse $SDF {$dsf $dsa $dsp @ss}if setmatrix}bd/s{@cp S}bd/B{@gs F @gr S}bd/b{@cp B}bd/_E{ 5 array astore exch cvlit xd}bd/@cc{currentfile $dat readhexstring pop}bd/@sm{ /$ctm $ctm currentmatrix def}bd/@E{/Bbury xd/Bburx xd/Bblly xd/Bbllx xd}bd/@c{ @cp}bd/@P{/$fil 3 def/$Psn xd/$Psc xd array astore/$Prm xd}bd/tcc{@cc}def/@B{ @gs S @gr F}bd/@b{@cp @B}bd/@sep{CurrentInkName_5(Composite)eq{/$ink_5 -1 def} {CurrentInkName_5(Cyan)eq{/$ink_5 0 def}{CurrentInkName_5(Magenta)eq{/$ink_5 1 def}{CurrentInkName_5(Yellow)eq{/$ink_5 2 def}{CurrentInkName_5(Black)eq {/$ink_5 3 def}{/$ink_5 4 def}ifelse}ifelse}ifelse}ifelse}ifelse}bd/@whi{@gs -72000 dup m -72000 72000 l 72000 dup l 72000 -72000 l @cp 1 SetGry fill @gr} bd/@neg{[{1 exch sub}/exec cvx currenttransfer/exec cvx]cvx settransfer @whi} bd/deflevel 0 def/@sax{/deflevel deflevel 1 add def}bd/@eax{/deflevel deflevel dup 0 gt{1 sub}if def deflevel 0 gt{/eax load}{eax}ifelse}bd/eax{{exec}forall} bd/@rax{deflevel 0 eq{@rs @sv}if}bd systemdict/pdfmark known not{/pdfmark /cleartomark ld}if/wclip{1 $fm eq{clip}{eoclip}ifelse}bd % Copyright (c)1992-2002 Corel Corporation % All rights reserved. v11.0 r0.1 /z{exch findfont exch scalefont setfont}bd/ZB{9 dict dup begin 4 1 roll /FontType 3 def/FontMatrix xd/FontBBox xd/Encoding 256 array def 0 1 255{ Encoding exch/.notdef put}for/CharStrings 256 dict def CharStrings/.notdef{} put/Metrics 256 dict def Metrics/.notdef 3 -1 roll put/BuildChar{exch dup /$char exch/Encoding get 3 index get def dup/Metrics get $char get aload pop setcachedevice begin Encoding exch get CharStrings exch get end exec}def end definefont pop}bd/ZBAddChar{findfont begin dup 4 1 roll dup 6 1 roll Encoding 3 1 roll put CharStrings 3 1 roll put Metrics 3 1 roll put end}bd/Z{findfont dup maxlength 2 add dict exch dup{1 index/FID ne{3 index 3 1 roll put}{pop pop} ifelse}forall pop dup dup/Encoding get 256 array copy dup/$fe xd/Encoding exch put dup/Fontname 3 index put 3 -1 roll dup length 0 ne{0 exch{dup type 0 type eq{exch pop}{$fe exch 2 index exch put 1 add}ifelse}forall pop}if dup 256 dict dup/$met xd/Metrics exch put dup/FontMatrix get 0 get 1000 mul 1 exch div 3 index length 256 eq{0 1 255{dup $fe exch get dup/.notdef eq{pop pop}{5 index 3 -1 roll get 2 index mul $met 3 1 roll put}ifelse}for}if pop definefont pop pop }bd/CorelIsValidCharpath{pathbbox 3 -1 roll sub abs 0.5 ge 3 1 roll sub abs 0.5 ge and}bd/@ftx{{currentpoint 3 -1 roll(0)dup 3 -1 roll 0 exch put dup @gs true charpath $ctm setmatrix CorelIsValidCharpath{@@txt}if @gr @np stringwidth pop 3 -1 roll add exch m}forall}bd/@ft{matrix currentmatrix exch $sdf{$scf $sca $scp @ss}if $fil 1 eq{/@@txt/@pf ld @ftx}{$fil 2 eq{/@@txt/@ff ld @ftx}{$fil 3 eq {/@@txt/@Pf ld @ftx}{$fil 4 eq{/@@txt/CorelShfillDoFill ld @ftx}{$t $c $m $y $k $n $o @scc_5{show}{pop}ifelse}ifelse}ifelse}ifelse}ifelse $sdf{$dsf $dsa $dsp @ss}if setmatrix}bd/@st{matrix currentmatrix exch $SDF{$SCF $SCA $SCP @ss}if $T $C $M $Y $K $N $O @scc_5{{currentpoint 3 -1 roll(0)dup 3 -1 roll 0 exch put dup @gs true charpath $ctm setmatrix $ptm concat stroke @gr @np stringwidth pop 3 -1 roll add exch m}forall}{pop}ifelse $SDF{$dsf $dsa $dsp @ss}if setmatrix}bd /@te{@ft}bd/@tr{@st}bd/@ta{dup @gs @ft @gr @st}bd/@t@a{dup @gs @st @gr @ft}bd /@tm{@sm concat}bd/e{/t{@te}def}bd/r{/t{@tr}def}bd/o{/t{pop}def}bd/a{/t{@ta} def}bd/@a{/t{@t@a}def}bd/t{@te}def/T{@np $ctm setmatrix/$ttm matrix def}bd/ddt {t}def/@t{/$stm $stm currentmatrix def 3 1 roll m $ttm concat ddt $stm setmatrix}bd/@n{/$ttm exch matrix rotate def}bd/@s{}bd/@l{}bd/_lineorientation 0 def/_bitfont null def/_bitlobyte 0 def/_bitkey null def/_bithibyte 0 def % Copyright (c)1992-2002 Corel Corporation % All rights reserved. v11.0 r0.0 /@ii{concat 3 index 3 index m 3 index 1 index l 2 copy l 1 index 3 index l 3 index 3 index l clip pop pop pop pop}bd/@i{@sm @gs @ii 6 index 1 ne{/$frg true def pop pop}{1 eq{s1t s1c s1m s1y s1k s1n $O @scc_5/$frg xd}{/$frg false def} ifelse 1 eq{@gs $ctm setmatrix F @gr}if}ifelse @np/$ury xd/$urx xd/$lly xd /$llx xd/$bts xd/$hei xd/$wid xd/$dat $wid $bts mul 8 div ceiling cvi string def $bkg $frg or{$SDF{$SCF $SCA $SCP @ss}if $llx $lly Tl $urx $llx sub $ury $lly sub scale $bkg{$t $c $m $y $k $n $o @scc_5 pop}if $wid $hei abs $bts 1 eq {$bkg}{$bts}ifelse[$wid 0 0 $hei neg 0 $hei 0 gt{$hei}{0}ifelse]/tcc load $bts 1 eq{imagemask}{image}ifelse $SDF{$dsf $dsa $dsp @ss}if}{$hei abs{tcc pop} repeat}ifelse @gr $ctm setmatrix}bd/@I{@sm @gs @ii @np/$ury xd/$urx xd/$lly xd /$llx xd/$ncl xd/$bts xd/$hei xd/$wid xd $ngx $llx $lly Tl $urx $llx sub $ury $lly sub scale $wid $hei abs $bts[$wid 0 0 $hei neg 0 $hei 0 gt{$hei}{0}ifelse$msimage false eq $ncl 1 eq or{/$dat $wid $bts mul $ncl mul 8 div ceiling cvi string def/@cc load false $ncl ColorImage}{$wid $bts mul 8 div ceiling cvi $ncl 3 eq{dup dup/$dat1 exch string def/$dat2 exch string def/$dat3 exch string def /@cc1 load/@cc2 load/@cc3 load}{dup dup dup/$dat1 exch string def/$dat2 exch string def/$dat3 exch string def/$dat4 exch string def/@cc1 load/@cc2 load /@cc3 load/@cc4 load}ifelse true $ncl ColorImage}ifelse $SDF{$dsf $dsa $dsp @ss}if @gr $ctm setmatrix}bd/@cc1{currentfile $dat1 readhexstring pop}bd/@cc2{ currentfile $dat2 readhexstring pop}bd/@cc3{currentfile $dat3 readhexstring pop }bd/@cc4{currentfile $dat4 readhexstring pop}bd/$msimage false def/COMP 0 def /MaskedImage false def L2?{/@I_2{@sm @gs @ii @np/$ury xd/$urx xd/$lly xd/$llx xd/$ncl xd/$bts xd/$hei xd/$wid xd/$dat $wid $bts mul $ncl mul 8 div ceiling cvi string def $ngx $ncl 1 eq{/DeviceGray}{$ncl 3 eq{/DeviceRGB}{/DeviceCMYK} ifelse}ifelse setcolorspace $llx $lly Tl $urx $llx sub $ury $lly sub scale 8 dict begin/ImageType 1 def/Width $wid def/Height $hei abs def/BitsPerComponent $bts def/Decode $ncl 1 eq{[0 1]}{$ncl 3 eq{[0 1 0 1 0 1]}{[0 1 0 1 0 1 0 1]} ifelse}ifelse def/ImageMatrix[$wid 0 0 $hei neg 0 $hei 0 gt{$hei}{0}ifelse]def /DataSource currentfile/ASCII85Decode filter COMP 1 eq{/DCTDecode filter}{COMP 2 eq{/RunLengthDecode filter}if}ifelse def currentdict end image $SDF{$dsf $dsa $dsp @ss}if @gr $ctm setmatrix}bd}{/@I_2{}bd}ifelse/@I_3{@sm @gs @ii @np/$ury xd/$urx xd/$lly xd/$llx xd/$ncl xd/$bts xd/$hei xd/$wid xd/$dat $wid $bts mul $ncl mul 8 div ceiling cvi string def $ngx $ncl 1 eq{/DeviceGray}{$ncl 3 eq {/DeviceRGB}{/DeviceCMYK}ifelse}ifelse setcolorspace $llx $lly Tl $urx $llx sub $ury $lly sub scale/ImageDataDict 8 dict def ImageDataDict begin/ImageType 1 def/Width $wid def/Height $hei abs def/BitsPerComponent $bts def/Decode $ncl 1 eq{[0 1]}{$ncl 3 eq{[0 1 0 1 0 1]}{[0 1 0 1 0 1 0 1]}ifelse}ifelse def /ImageMatrix[$wid 0 0 $hei neg 0 $hei 0 gt{$hei}{0}ifelse]def/DataSource currentfile/ASCII85Decode filter COMP 1 eq{/DCTDecode filter}{COMP 2 eq{ /RunLengthDecode filter}if}ifelse def end/MaskedImageDict 7 dict def MaskedImageDict begin/ImageType 3 def/InterleaveType 3 def/MaskDict ImageMaskDict def/DataDict ImageDataDict def end MaskedImageDict image $SDF {$dsf $dsa $dsp @ss}if @gr $ctm setmatrix}bd/@SetMask{/$mbts xd/$mhei xd/$mwid xd/ImageMaskDict 8 dict def ImageMaskDict begin/ImageType 1 def/Width $mwid def /Height $mhei abs def/BitsPerComponent $mbts def/DataSource maskstream def /ImageMatrix[$mwid 0 0 $mhei neg 0 $mhei 0 gt{$mhei}{0}ifelse]def/Decode[1 0] def end}bd/@daq{dup type/arraytype eq{{}forall}if}bd/@BMP{/@cc xd UseLevel 3 eq MaskedImage true eq and{7 -2 roll pop pop @I_3}{12 index 1 gt UseLevel 2 eq UseLevel 3 eq or and{7 -2 roll pop pop @I_2}{11 index 1 eq{12 -1 roll pop @i}{ 7 -2 roll pop pop @I}ifelse}ifelse}ifelse}bd % Copyright (c)1992-2002 Corel Corporation % All rights reserved. v11.0 r0.0 /@p{/$fil 1 def 1 eq dup/$vectpat xd{/$pfrg true def}{@gs $t $c $m $y $k $n $o @scc_5/$pfrg xd @gr}ifelse/$pm xd/$psy xd/$psx xd/$pyf xd/$pxf xd/$pn xd}bd /CorelPtrnDoFill{@gs $ctm setmatrix $pm concat CorelPtrnSetBBox wclip @sv Bburx Bbury $pm itransform/$tury xd/$turx xd Bbllx Bblly $pm itransform/$tlly xd /$tllx xd newpath $tllx $tlly m $tllx $tury l $turx $tury l $turx $tlly l $tllx $tlly m @cp pathbbox @rs/$tury xd/$turx xd/$tlly xd/$tllx xd/$wid $turx $tllx sub def/$hei $tury $tlly sub def @gs $vectpat{1 0 0 0 0 _ $o @scc_5{wfill}if}{ $t $c $m $y $k $n $o @scc_5{SepMode_5 0 eq $pfrg or{$tllx $tlly Tl $wid $hei scale <00> 8 1 false[8 0 0 1 0 0]{}imagemask}{/$bkg true def}ifelse}if}ifelse @gr $wid 0 gt $hei 0 gt and{$pn cvlit load aload pop/$pd xd 3 -1 roll sub /$phei xd exch sub/$pwid xd $wid $pwid div ceiling 1 add/$tlx xd $hei $phei div ceiling 1 add/$tly xd currentdict/CorelPtrnL2Pattern known $psy 0 eq and $psx 0 eq and{CorelPtrnL2Pattern}{$psx 0 eq{CorelPtrnTileVeritcal}{CorelPtrnTileHoriz }ifelse}ifelse}if @gr @np/$bkg false def}bd/CorelPtrnSetBBox{pathbbox/$ury xd /$urx xd/$lly xd/$llx xd}bd/CorelPtrnSetFirstTile{$tllx $pxf add dup $tllx gt {$pwid sub}if/$tx xd $tury $pyf sub dup $tury lt{$phei add}if/$ty xd}bd/p{/$pm xd 7 rp/$pyf xd/$pxf xd/$pn xd/$fil 1 def}bd/CorelPtrnDraw{@ep}bd /CorelPtrnPutTile{@sv/$in true def 2 copy dup $lly le{/$in false def}if $phei sub $ury ge{/$in false def}if dup $urx ge{/$in false def}if $pwid add $llx le{ /$in false def}if $in{@np 2 copy m $pwid 0 rl 0 $phei neg rl $pwid neg 0 rl 0 $phei rl clip @np $pn cvlit load aload pop 7 -1 roll 5 index sub 7 -1 roll 3 index sub Tl matrix currentmatrix/$ctm xd CorelPtrnDraw pop pop pop pop}{pop pop}ifelse @rs}bd/CorelPtrnTileHoriz{CorelPtrnSetFirstTile 0 1 $tly 1 sub{dup $psx mul $tx add{dup $llx gt{$pwid sub}{exit}ifelse}loop exch $phei mul $ty exch sub 0 1 $tlx 1 sub{$pwid mul 3 copy 3 -1 roll add exch CorelPtrnPutTile pop}for pop pop}for}bd/CorelPtrnTileVeritcal{CorelPtrnSetFirstTile 0 1 $tlx 1 sub{dup $pwid mul $tx add exch $psy mul $ty exch sub{dup $ury lt{$phei add} {exit}ifelse}loop 0 1 $tly 1 sub{$phei mul 3 copy sub CorelPtrnPutTile pop}for pop pop}for}bd L2? UseLevel 2 ge and{/CorelPtrnL2Pattern{@sv[$pn cvlit load aload pop pop]$pwid $phei $pn cvlit load aload pop pop pop pop pathbbox pop pop 2 index sub exch 3 index sub 4 -2 roll pop pop exch matrix identmatrix translate/PatternMatrix xd/PatternYStep xd/PatternXStep xd/PatternBBox xd currentdict/PatternMainDict xd <</PaintType 1/PatternType 1/TilingType 1/BBox PatternBBox/XStep PatternXStep/YStep PatternYStep/PaintProc{begin PatternMainDict begin $ctm currentmatrix pop 0 CorelPtrnDraw end end}bind >> PatternMatrix makepattern setpattern fill @rs}def}if end %%EndResource %%EndProlog %%BeginSetup wCorel11Dict begin @BeginSysCorelDict 2.6131 setmiterlimit 1.00 setflat /$fst 128 def %%BeginResource: font mvrmp-Medium %!FontType1-1.0: mvrmp-Medium 001.003 %%Creator: Corel PostScript Engine 10 dict begin /FontName /mvrmp-Medium def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 49 /one put dup 50 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0000000000000000000000000000000000000000000000000000000000000000 c cleartomark %%EndResource [00000000000000000 0 0 0 0 0 0 0 0 0 0 0 0 0 500 500 500 278 500 833 500 833 778 278 389 389 500 778 278 333 278 500 500 500 500 500 500 500 500 500 500 500 278 278 778 778 778 472 778 750 708 722 764 681 653 785 750 361 514 778 625 917 750 778 681 778 736 556 722 750 750 1028 750 750 611 278 500 278 500 778 278 500 556 444 556 444 306 500 556 278 306 528 278 833 556 500 556 528 392 394 389 556 528 722 528 528 444 500 278 500 500 500 500 500 500 500 500 500 444 444 500 500 1160 500 500 500 500 500 500 500 0 625 0 278 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 625 833 778 694 667 750 722 778 722 778 722 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 278 278 472 500 278 500 1000 500 583 556 556 833 833 278 306 500 500 500 500 500 750 444 500 722 778 500 903 1014 778 ] CorelDrawReencodeVect /_R131-mvrmp-Medium /mvrmp-Medium Z %%BeginResource: font mvmimp-Medium %!FontType1-1.0: mvmimp-Medium 001.003 %%Creator: Corel PostScript Engine 10 dict begin /FontName /mvmimp-Medium def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 114 /r put readonly def /FontBBox {0 0 0 0} readonly def currentdict end currentfile eexec A22DD33CB9A1B84FC323D538B9AE6C6014672C02872FAD31037218C4EC2B7124C58AFC4A0E2584B50A7 78936CFE1053450FEC35486F87A4DA48EF5124EE42DE6 9DDB8A5C33C2868DDADC1C9B4725483A678DFD1BEF77D7BDC50D39DB17FF02031F39030455C675716EB 1B292EA6078E9937BB936698E457C365396CC5708EAAB 921AD0271E16D4A5F1689C7D8DEDA69051F9EA8B689EDEA8949F2C93CE777268FD3CE5D1713388D0E33 A640C77DFB1D300C88E302BEFDF0083AF060D407FD007 23D3F76465C679461FC0471E7F6EFFFCB5A8E513C1661D98B93E8667005CB8B30093BCB089336AFAB7D 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1000 1000 1000 278 278 500 500 500 500 500 500 500 500 500 500 500 500 278 278 778 500 778 500 531 750 759 715 828 738 643 786 831 440 555 849 681 970 803 763 642 791 759 613 584 683 583 944 828 581 683 389 389 389 1000 1000 417 529 429 433 520 466 490 477 576 345 412 521 298 878 600 485 503 446 451 469 361 572 485 716 572 490 465 322 384 636 500 278 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 651 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 615 833 763 694 742 831 780 583 667 612 772 640 566 518 444 406 438 497 469 354 576 583 603 494 438 570 517 571 437 540 596 626 ] CorelDrawReencodeVect /_R132-mvmimp-Medium /mvmimp-Medium Z % %%EndSetup %%Page: 1 1 %LogicalPage: 1 %%BeginPageSetup @sv @sm @sv %%EndPageSetup @rax %Note: Object 88.72980 618.08457 158.68545 701.29049 @E 0 J 0 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 1.00006 1.00006 0.00000 @w /$fm 0 def 118.34362 701.29049 m 158.68545 618.08457 L 88.72980 642.28989 L S @rax %Note: Object 158.79146 613.22343 265.19868 642.37861 @E 0 J 0 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 1.00006 1.00006 0.00000 @w /$fm 0 def 265.19868 613.22343 m 158.79146 618.08258 L 235.90063 642.37861 L S @rax %Note: Object 158.61175 466.67679 235.72091 618.08258 @E 0 J 0 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 1.00006 1.00006 0.00000 @w /$fm 0 def 177.20646 466.67679 m 158.61175 618.08258 L 235.72091 554.37335 L S @rax %Note: Object 158.68573 466.25102 206.58416 617.61005 @E 0 J 0 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 1.00006 1.00006 0.00000 @w /$fm 0 def 206.58416 466.25102 m 158.68573 617.61005 L S @rax 205.95515 581.36287 212.48929 588.15184 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e /_R132-mvmimp-Medium 105739.00000 z 0 0 (r) @t T @rax 213.07408 579.27969 217.46948 586.26624 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e @E 205.95528380 581.52754489] @tm @E 213.07406331 579.27953164] @tm /_R131-mvrmp-Medium 74017.00000 z 0 0 (1) @t T @rax 221.03915 604.75323 227.57329 611.54220 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e /_R132-mvmimp-Medium 105739.00000 z 0 0 (r) @t T @rax 228.15780 602.67005 232.86813 609.65660 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e /_R131-mvrmp-Medium 74017.00000 z 0 0 (2) @t T @rax 194.59304 636.73597 201.12718 643.52494 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e /_R132-mvmimp-Medium 105739.00000 z 0 0 (r) @t T @rax 201.71169 634.42205 206.50592 641.63934 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e /_R131-mvrmp-Medium 74017.00000 z 0 0 (3) @t T @rax 137.11890 668.24135 143.65276 675.03033 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e /_R132-mvmimp-Medium 105739.00000 z 0 0 (r) @t T @rax 144.23754 666.15817 149.17861 673.26038 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e /_R131-mvrmp-Medium 74017.00000 z 0 0 (4) @t T @rax 114.01427 620.98328 120.54841 627.77225 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e /_R132-mvmimp-Medium 105739.00000 z 0 0 (r) @t T @E 221.03912022 604.91790624] @tm @E 228.15775799 602.66989298] @tm @E 194.59298964 636.90064523] @tm @E 201.71162741 634.65263197] @tm @E 137.11882871 668.40602990] @tm @E 144.23760821 666.15801665] @tm @E 114.01432006 621.14795289] @tm @rax 121.13291 618.66935 125.84324 625.88665 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e /_R131-mvrmp-Medium 74017.00000 z 0 0 (5) @t T @rax 154.39776 534.10479 160.93191 540.89376 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e /_R132-mvmimp-Medium 105739.00000 z 0 0 (r) @t T @rax 161.51641 531.79087 166.31065 539.00816 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e /_R131-mvrmp-Medium 74017.00000 z 0 0 (6) @t T @rax 190.96243 526.46712 197.49657 533.25609 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e /_R132-mvmimp-Medium 105739.00000 z 0 0 (r) @t T @rax 198.08107 524.15320 203.16898 531.47537 [0.00014173 0.00000000 0.00000000 0.00014173 0 O 0 @g 0.00 0.00 0.00 1.00 k e /_R131-mvrmp-Medium 74017.00000 z 0 0 (7) @t T @rax %Note: Object 89.03906 451.56246 89.04019 715.65846 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.33307 0.00000 @w /$fm 0 def 89.03962 451.56246 m 89.03962 715.65846 L S @E 121.13295783 618.89993964] @tm @E 154.39779334 534.26946788] @tm @E 161.51643111 532.02145462] @tm @E 190.96257385 526.63179887] @tm @E 198.08121162 524.38378561] @tm 0.00000000 0.00000000] 1 0.33307 @rax %Note: Object 89.03906 715.65789 89.04019 715.65902 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 89.03962 715.65846 m 89.03962 715.65846 L S @rax %Note: Object 118.34306 451.56246 118.34419 715.65846 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 118.34362 451.56246 m 118.34362 715.65846 L S @rax %Note: Object 118.34306 715.65789 118.34419 715.65902 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 118.34362 715.65846 m 118.34362 715.65846 L S @rax %Note: Object 147.71906 451.56246 147.72019 715.65846 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 147.71962 451.56246 m 147.71962 715.65846 L S @rax %Note: Object 147.71906 715.65789 147.72019 715.65902 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 147.71962 715.65846 m 147.71962 715.65846 L S @rax %Note: Object 177.02306 451.56246 177.02419 715.65846 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 177.02362 451.56246 m 177.02362 715.65846 L S @rax %Note: Object 177.02306 715.65789 177.02419 715.65902 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 177.02362 715.65846 m 177.02362 715.65846 L S @rax %Note: Object 206.39906 451.56246 206.40019 715.65846 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 206.39962 451.56246 m 206.39962 715.65846 L S @rax %Note: Object 206.39906 715.65789 206.40019 715.65902 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 206.39962 715.65846 m 206.39962 715.65846 L S @rax %Note: Object 235.70306 451.56246 235.70419 715.65846 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 235.70362 451.56246 m 235.70362 715.65846 L S @rax %Note: Object 235.70306 715.65789 235.70419 715.65902 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 235.70362 715.65846 m 235.70362 715.65846 L S @rax %Note: Object 265.00706 451.56246 265.00819 715.65846 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 265.00762 451.56246 m 265.00762 715.65846 L S @rax %Note: Object 265.00706 715.65789 265.00819 715.65902 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 265.00762 715.65846 m 265.00762 715.65846 L S @rax %Note: Object 74.35162 466.24989 279.69562 466.25102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 466.25046 m 279.69562 466.25046 L S @rax %Note: Object 279.69506 466.24989 279.69619 466.25102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 466.25046 m 279.69562 466.25046 L S @rax %Note: Object 74.35162 495.55389 279.69562 495.55502 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 495.55446 m 279.69562 495.55446 L S @rax %Note: Object 279.69506 495.55389 279.69619 495.55502 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 495.55446 m 279.69562 495.55446 L S @rax %Note: Object 74.35162 524.92989 279.69562 524.93102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 524.93046 m 279.69562 524.93046 L S @rax %Note: Object 279.69506 524.92989 279.69619 524.93102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 524.93046 m 279.69562 524.93046 L S @rax %Note: Object 74.35162 554.23389 279.69562 554.23502 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 554.23446 m 279.69562 554.23446 L S @rax %Note: Object 279.69506 554.23389 279.69619 554.23502 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 554.23446 m 279.69562 554.23446 L S @rax %Note: Object 74.35162 583.60989 279.69562 583.61102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 583.61046 m 279.69562 583.61046 L S @rax %Note: Object 279.69506 583.60989 279.69619 583.61102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 583.61046 m 279.69562 583.61046 L S @rax %Note: Object 74.35162 612.98589 279.69562 612.98702 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 612.98646 m 279.69562 612.98646 L S @rax %Note: Object 279.69506 612.98589 279.69619 612.98702 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 612.98646 m 279.69562 612.98646 L S @rax %Note: Object 74.35162 642.28989 279.69562 642.29102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 642.29046 m 279.69562 642.29046 L S @rax %Note: Object 279.69506 642.28989 279.69619 642.29102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 642.29046 m 279.69562 642.29046 L S @rax %Note: Object 74.35162 671.66589 279.69562 671.66702 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 671.66646 m 279.69562 671.66646 L S @rax %Note: Object 279.69506 671.66589 279.69619 671.66702 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 671.66646 m 279.69562 671.66646 L S @rax %Note: Object 74.35162 700.96989 279.69562 700.97102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 700.97046 m 279.69562 700.97046 L S @rax %Note: Object 279.69506 700.96989 279.69619 700.97102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 700.97046 m 279.69562 700.97046 L S @rax %Note: Object 74.35162 451.56189 279.69562 451.56302 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 451.56246 m 279.69562 451.56246 L S @rax %Note: Object 74.35162 715.58589 279.69562 715.58702 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 715.58646 m 279.69562 715.58646 L S @rax %Note: Object 74.35106 451.56246 74.35219 715.58646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 451.56246 m 74.35162 715.58646 L S @rax %Note: Object 279.69506 451.56246 279.69619 715.58646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 451.56246 m 279.69562 715.58646 L S @rax %Note: Object 74.35162 451.56189 279.69562 451.56302 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 451.56246 m 279.69562 451.56246 L S @rax %Note: Object 74.35106 451.56246 74.35219 715.58646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 451.56246 m 74.35162 715.58646 L S @rax %Note: Object 89.03906 451.56246 89.04019 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 89.03962 451.56246 m 89.03962 454.22646 L S @rax %Note: Object 89.03906 712.99446 89.04019 715.65846 @E 0 S J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 89.03962 715.65846 m 89.03962 712.99446 L S @rax %Note: Object 80.91156 441.86003 83.36154 442.76003 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 83.36154 442.76003 m 80.91156 442.76003 L 80.91156 441.86003 L 83.36154 441.86003 L 83.36154 442.76003 L @c F @rax %Note: Object 84.03364 439.54016 89.01354 446.57008 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 89.01354 441.25002 m 89.01354 442.00998 L 87.98343 442.00998 L 87.98343 446.57008 L 87.25351 446.57008 L 84.03364 442.11005 L 84.03364 441.25002 L 87.10356 441.25002 L 87.10356 439.54016 L 87.98343 439.54016 L 87.98343 441.25002 L 89.01354 441.25002 L @c 87.08343 445.20009 m 87.10356 445.20009 L 87.10356 442.00998 L 84.84350 442.00998 L 87.08343 445.20009 L @c F @rax %Note: Object 118.34306 451.56246 118.34419 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 118.34362 451.56246 m 118.34362 454.22646 L S @rax %Note: Object 118.34306 712.99446 118.34419 715.65846 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 118.34362 715.65846 m 118.34362 712.99446 L S @rax %Note: Object 110.21556 441.86003 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 112.66554 442.76003 110.21556 442.76003 110.21556 441.86003 112.66554 441.86003 112.66554 442.76003 @c F @rax %Note: Object 113.42750 439.34854 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 115.32756 442.78016 115.45767 442.78016 116.32762 442.79008 117.36765 440.69017 114.52762 440.13997 113.42750 441.68995 113.48759 440.88009 114.81761 439.47836 117.56750 439.34854 118.30762 442.54998 117.13748 443.26998 117.51761 443.39017 118.03748 445.78998 114.01767 446.57008 114.45761 444.27005 114.49757 444.75987 116.87754 445.78006 117.12756 443.79014 115.63767 443.52000 115.32756 442.78016 @c F 112.66554 442.76003 @E k m L L L L 118.30762 446.57008 @E k m 115.59770 117.36765 116.73751 114.36746 L 113.69764 115.25754 118.30762 117.81751 L 118.03748 117.22762 113.59757 L 114.57751 117.12756 116.46765 115.47751 L 442.79008 442.68009 440.13997 441.03005 115.72753 117.36765 115.83751 114.33770 442.79008 441.50003 440.13997 441.68995 c c c C 440.07024 439.34854 440.46000 443.03017 114.47773 115.77770 118.30762 117.13748 439.66006 439.34854 441.61002 443.25014 c c c C 443.81991 118.03748 444.71991 c 446.57008 115.86756 446.57008 c 445.29987 113.59757 444.27005 C 445.78006 445.09011 443.52000 443.52992 115.82759 117.12756 115.78762 115.32756 445.78006 444.67002 443.52000 443.54013 c c c C @rax %Note: Object 147.71906 451.56246 147.72019 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 147.71962 451.56246 m 147.71962 454.22646 L S @rax %Note: Object 147.71906 712.99446 147.72019 715.65846 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 147.71962 715.65846 m 147.71962 712.99446 L S @rax %Note: Object 139.59156 441.86003 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 142.04154 442.76003 139.59156 442.76003 139.59156 441.86003 142.04154 441.86003 142.04154 442.76003 @c F @rax %Note: Object 142.72356 439.54016 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 143.78372 444.05008 143.81348 444.53991 146.23342 445.78006 146.59342 443.59002 144.37361 442.33002 143.43364 441.78009 147.53339 439.54016 147.53339 440.37014 143.71370 440.37014 143.75367 440.64000 145.65345 442.11997 146.70340 442.68009 147.53339 445.78006 144.57345 446.57008 143.78372 444.05008 @c F 142.04154 442.76003 @E k m L L L L 147.53339 446.57008 @E k m 143.87357 146.59342 146.05342 l 142.77373 L L L 143.96372 l 147.53339 146.55345 142.90356 L 445.78006 145.20359 445.78006 c 445.06998 146.59342 444.51014 c 443.30003 145.30365 442.87002 c 441.00000 142.72356 439.54016 C 441.19020 144.92353 441.72000 c 443.21017 147.53339 444.46989 c 446.57008 145.33342 446.57008 c 446.33991 142.90356 444.05008 C @rax %Note: Object 177.02306 451.56246 177.02419 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 177.02362 451.56246 m 177.02362 454.22646 L S @rax %Note: Object 177.02306 712.99446 177.02419 715.65846 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 177.02362 715.65846 m 177.02362 712.99446 L S @rax %Note: Object 168.89556 441.86003 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 171.34554 442.76003 168.89556 442.76003 168.89556 441.86003 171.34554 441.86003 171.34554 442.76003 @c F @rax %Note: Object 172.77761 439.54016 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 175.35742 446.57008 174.66746 446.57008 174.38769 445.42006 172.77761 444.52998 174.41745 444.52998 174.41745 439.54016 175.35742 439.54016 175.35742 446.57008 @c F 171.34554 442.76003 @E k m L L L L 175.35742 446.57008 @E k m L 173.91770 445.31008 172.77761 445.22986 C L L L L L @rax %Note: Object 206.39906 451.56246 206.40019 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 206.39962 451.56246 m 206.39962 454.22646 L S @rax %Note: Object 206.39906 712.99446 206.40019 715.65846 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 206.39962 715.65846 m 206.39962 712.99446 L S @rax %Note: Object 203.96154 439.34854 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 207.84161 442.96016 207.84161 441.20013 205.36157 440.13997 204.90151 444.71991 207.38154 445.78006 @c 208.78157 442.96016 208.78157 444.42000 204.35159 446.57008 203.96154 441.50003 208.39153 439.34854 @c F 208.78157 446.57008 @E k m 207.38154 204.90151 205.36157 207.84161 440.13997 441.20013 445.78006 444.71991 206.37156 204.90151 206.37156 207.84161 440.13997 442.96016 445.78006 442.96016 c c c c m 208.39153 203.96154 204.35159 208.78157 446.57008 444.42000 439.34854 441.50003 206.37156 203.96154 206.37156 208.78157 446.57008 442.96016 439.34854 442.96016 c c c c @rax %Note: Object 235.70306 451.56246 235.70419 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 235.70362 451.56246 m 235.70362 454.22646 L S @rax %Note: Object 235.70306 712.99446 235.70419 715.65846 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 235.70362 715.65846 m 235.70362 712.99446 L S @rax %Note: Object 233.97761 439.54016 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 236.55742 446.57008 235.86746 446.57008 235.58769 445.42006 233.97761 444.52998 235.61745 444.52998 235.61745 439.54016 236.55742 439.54016 236.55742 446.57008 236.55742 446.57008 @E k m L 235.11770 445.31008 233.97761 445.22986 C L L L L L @c F @rax %Note: Object 265.00706 451.56246 265.00819 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 265.00762 451.56246 m 265.00762 454.22646 L S @rax %Note: Object 265.00706 712.99446 265.00819 715.65846 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 265.00762 715.65846 m 265.00762 712.99446 L S @rax %Note: Object 262.53156 439.54016 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 263.59172 444.05008 263.62148 444.53991 266.04142 445.78006 266.40142 443.59002 264.18161 442.33002 263.24164 441.78009 267.34139 439.54016 267.34139 440.37014 263.52170 440.37014 263.56167 440.64000 265.46145 442.11997 266.51140 442.68009 267.34139 445.78006 264.38145 446.57008 263.59172 444.05008 @c F 267.34139 446.57008 @E k m 263.68157 266.40142 265.86142 l 262.58173 L L L 263.77172 l 267.34139 266.36145 262.71156 L 445.78006 265.01159 445.78006 c 445.06998 266.40142 444.51014 c 443.30003 265.11165 442.87002 c 441.00000 262.53156 439.54016 C 441.19020 264.73153 441.72000 c 443.21017 267.34139 444.46989 c 446.57008 265.14142 446.57008 c 446.33991 262.71156 444.05008 C @rax %Note: Object 74.35162 466.24989 77.01562 466.25102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 466.25046 m 77.01562 466.25046 L S @rax %Note: Object 277.03162 466.24989 279.69562 466.25102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 466.25046 m 277.03162 466.25046 L S @rax %Note: Object 60.53556 464.90003 62.98554 465.80003 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 62.98554 465.80003 m 60.53556 465.80003 L 60.53556 464.90003 L 62.98554 464.90003 L 62.98554 465.80003 L @c F @rax %Note: Object 63.72964 462.58016 68.70954 469.61008 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 68.70954 464.29002 m 68.70954 465.04998 L 67.67943 465.04998 L 67.67943 469.61008 L 66.94951 469.61008 L 63.72964 465.15005 L 63.72964 464.29002 L 66.79956 464.29002 L 66.79956 462.58016 L 67.67943 462.58016 L 67.67943 464.29002 L 68.70954 464.29002 L @c 66.77943 468.24009 m 66.79956 468.24009 L 66.79956 465.04998 L 64.53950 465.04998 L 66.77943 468.24009 L @c F @rax %Note: Object 74.35162 495.55389 77.01562 495.55502 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 495.55446 m 77.01562 495.55446 L S @rax %Note: Object 277.03162 495.55389 279.69562 495.55502 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 495.55446 m 277.03162 495.55446 L S @rax %Note: Object 60.53556 494.27603 62.98554 495.17603 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 62.98554 495.17603 m 60.53556 495.17603 L 60.53556 494.27603 L 62.98554 494.27603 L 62.98554 495.17603 L @c F @rax %Note: Object 63.81950 491.76454 68.69962 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 65.71956 495.19616 m 65.84967 495.19616 65.98970 66.71962 495.20608 67.75965 67.75965 493.10617 67.12951 64.91962 492.55597 64.75946 63.81950 494.10595 L 63.87959 493.29609 64.08964 65.20961 491.89436 65.64954 67.95950 491.76454 68.69962 68.69962 494.96598 68.20951 67.52948 495.68598 L 67.90961 495.80617 68.42948 68.42948 498.20598 67.61962 64.40967 498.98608 63.98957 64.84961 496.68605 L 64.88957 497.17587 64.96951 67.26954 498.19606 67.51956 67.51956 496.20614 66.85965 66.02967 495.93600 65.86951 65.71956 495.19616 L @c F 498.98608 @E 495.20608 495.09609 492.55597 493.44605 66.11953 67.75965 66.22951 64.72970 495.20608 493.91603 492.55597 494.10595 c c c C 492.48624 491.76454 492.87600 495.44617 64.86973 66.16970 68.69962 67.52948 492.07606 491.76454 494.02602 495.66614 c c c C 496.23591 68.42948 497.13591 c 498.98608 66.25956 498.98608 c 497.71587 63.98957 496.68605 C 498.19606 497.50611 495.93600 495.94592 66.21959 67.51956 66.17962 65.71956 498.19606 497.08602 495.93600 495.95613 c c c C @rax %Note: Object 74.35162 524.92989 77.01562 524.93102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 524.93046 m 77.01562 524.93046 L S @rax %Note: Object 277.03162 524.92989 279.69562 524.93102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 524.93046 m 277.03162 524.93046 L S @rax %Note: Object 60.53556 523.58003 62.98554 524.48003 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 62.98554 524.48003 m 60.53556 524.48003 L 60.53556 523.58003 L 62.98554 523.58003 L 62.98554 524.48003 L @c F @rax %Note: Object 63.73956 521.26016 68.54939 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 64.79972 525.77008 m 64.82948 526.25991 64.88957 67.24942 527.50006 67.60942 67.60942 525.31002 67.06942 65.38961 524.05002 l 64.44964 523.50009 63.78973 68.54939 521.26016 L 68.54939 522.09014 L 64.72970 522.09014 L 64.76967 522.36000 64.97972 66.66945 523.83997 l 67.71940 524.40009 68.54939 68.54939 527.50006 67.56945 65.58945 528.29008 63.91956 64.79972 525.77008 L @c F 528.29008 @E 527.50006 66.21959 527.50006 c 526.78998 67.60942 526.23014 c 525.02003 66.31965 524.59002 c 522.72000 63.73956 521.26016 C 522.91020 65.93953 523.44000 c 524.93017 68.54939 526.18989 c 528.29008 66.34942 528.29008 c 528.05991 63.91956 525.77008 C @rax %Note: Object 74.35162 554.23389 77.01562 554.23502 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 554.23446 m 77.01562 554.23446 L S @rax %Note: Object 277.03162 554.23389 279.69562 554.23502 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 554.23446 m 277.03162 554.23446 L S @rax %Note: Object 60.53556 552.88403 62.98554 553.78403 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 62.98554 553.78403 m 60.53556 553.78403 L 60.53556 552.88403 L 62.98554 552.88403 L 62.98554 553.78403 L @c F @rax %Note: Object 64.48961 550.56416 67.06942 557.59408 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 67.06942 557.59408 m 66.37946 557.59408 L 66.09969 556.44406 65.62970 556.33408 64.48961 556.25386 C 64.48961 555.55398 L 66.12945 555.55398 L 66.12945 550.56416 L 67.06942 550.56416 L 67.06942 557.59408 L @c F @rax %Note: Object 74.35162 583.60989 77.01562 583.61102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 583.61046 m 77.01562 583.61046 L S @rax %Note: Object 277.03162 583.60989 279.69562 583.61102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 583.61046 m 277.03162 583.61046 L S @rax %Note: Object 66.29754 579.74854 71.11757 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 70.17761 583.36016 m 70.17761 581.60013 69.71754 67.69757 580.53997 67.23751 67.23751 585.11991 67.69757 69.71754 586.18006 70.17761 @c 71.11757 583.36016 m 71.11757 584.82000 70.72753 66.68759 586.97008 66.29754 66.29754 581.90003 66.68759 70.72753 579.74854 71.11757 @c F 586.97008 @E 580.53997 581.60013 586.18006 585.11991 68.70756 67.23751 68.70756 70.17761 580.53997 583.36016 586.18006 583.36016 c c c c 586.97008 584.82000 579.74854 581.90003 68.70756 66.29754 68.70756 71.11757 586.97008 583.36016 579.74854 583.36016 c c c c @rax %Note: Object 74.35162 612.98589 77.01562 612.98702 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 612.98646 m 77.01562 612.98646 L S @rax %Note: Object 277.03162 612.98589 279.69562 612.98702 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 612.98646 m 277.03162 612.98646 L S @rax %Note: Object 66.93761 609.31616 69.51742 616.34608 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 69.51742 616.34608 m 68.82746 616.34608 L 68.54769 615.19606 68.07770 615.08608 66.93761 615.00586 C 66.93761 614.30598 L 68.57745 614.30598 L 68.57745 609.31616 L 69.51742 609.31616 L 69.51742 616.34608 L @c F @rax %Note: Object 74.35162 642.28989 77.01562 642.29102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 642.29046 m 77.01562 642.29046 L S @rax %Note: Object 277.03162 642.28989 279.69562 642.29102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 642.29046 m 277.03162 642.29046 L S @rax %Note: Object 66.18756 638.62016 70.99739 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 67.24772 643.13008 m 67.27748 643.61991 67.33757 69.69742 644.86006 70.05742 70.05742 642.67002 69.51742 67.83761 641.41002 l 66.89764 640.86009 66.23773 70.99739 638.62016 L 70.99739 639.45014 L 67.17770 639.45014 L 67.21767 639.72000 67.42772 69.11745 641.19997 l 70.16740 641.76009 70.99739 70.99739 644.86006 70.01745 68.03745 645.65008 66.36756 67.24772 643.13008 L @c F 645.65008 @E 644.86006 68.66759 644.86006 c 644.14998 70.05742 643.59014 c 642.38003 68.76765 641.95002 c 640.08000 66.18756 638.62016 C 640.27020 68.38753 640.80000 c 642.29017 70.99739 643.54989 c 645.65008 68.79742 645.65008 c 645.41991 66.36756 643.13008 C @rax %Note: Object 74.35162 671.66589 77.01562 671.66702 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 671.66646 m 77.01562 671.66646 L S @rax %Note: Object 277.03162 671.66589 279.69562 671.66702 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 671.66646 m 277.03162 671.66646 L S @rax %Note: Object 66.26750 667.80454 71.14762 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 68.16756 671.23616 m 68.29767 671.23616 68.43770 69.16762 671.24608 70.20765 70.20765 669.14617 69.57751 67.36762 668.59597 67.20746 66.26750 670.14595 L 66.32759 669.33609 66.53764 67.65761 667.93436 68.09754 70.40750 667.80454 71.14762 71.14762 671.00598 70.65751 69.97748 671.72598 L 70.35761 671.84617 70.87748 70.87748 674.24598 70.06762 66.85767 675.02608 66.43757 67.29761 672.72605 L 67.33757 673.21587 67.41751 69.71754 674.23606 69.96756 69.96756 672.24614 69.30765 68.47767 671.97600 68.31751 68.16756 671.23616 L @c F 675.02608 @E 671.24608 671.13609 668.59597 669.48605 68.56753 70.20765 68.67751 67.17770 671.24608 669.95603 668.59597 670.14595 c c c C 668.52624 667.80454 668.91600 671.48617 67.31773 68.61770 71.14762 69.97748 668.11606 667.80454 670.06602 671.70614 c c c C 672.27591 70.87748 673.17591 c 675.02608 68.70756 675.02608 c 673.75587 66.43757 672.72605 C 674.23606 673.54611 671.97600 671.98592 68.66759 69.96756 68.62762 68.16756 674.23606 673.12602 671.97600 671.99613 c c c C @rax %Note: Object 74.35162 700.96989 77.01562 700.97102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 700.97046 m 77.01562 700.97046 L S @rax %Note: Object 277.03162 700.96989 279.69562 700.97102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 700.97046 m 277.03162 700.97046 L S @rax %Note: Object 66.17764 697.37216 71.15754 704.40208 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 71.15754 699.08202 m 71.15754 699.84198 L 70.12743 699.84198 L 70.12743 704.40208 L 69.39751 704.40208 L 66.17764 699.94205 L 66.17764 699.08202 L 69.24756 699.08202 L 69.24756 697.37216 L 70.12743 697.37216 L 70.12743 699.08202 L 71.15754 699.08202 L @c 69.22743 703.03209 m 69.24756 703.03209 L 69.24756 699.84198 L 66.98750 699.84198 L 69.22743 703.03209 L @c F @rax %Note: Object 74.35162 451.56189 279.69562 451.56302 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 451.56246 m 279.69562 451.56246 L S @rax %Note: Object 74.35162 715.58589 279.69562 715.58702 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 715.58646 m 279.69562 715.58646 L S @rax %Note: Object 74.35106 451.56246 74.35219 715.58646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 451.56246 m 74.35162 715.58646 L S @rax %Note: Object 279.69506 451.56246 279.69619 715.58646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 451.56246 m 279.69562 715.58646 L S @rax %Note: Object 231.52762 550.20246 0 O 0 @g 0.00 0.40 1.00 0.00 /$fm 0 def 239.87962 554.23446 239.87962 554.59446 239.80762 554.81046 239.80762 555.09846 239.73562 555.31446 239.59162 555.60246 239.51962 555.81846 239.44762 556.10646 239.37562 556.25046 239.23162 556.53846 239.01562 556.75446 238.87162 556.89846 238.72762 557.18646 238.51162 557.33046 238.36762 557.47446 238.15162 557.69046 237.93562 557.83446 237.71962 557.90646 237.43162 558.12246 237.21562 558.19446 236.92762 558.26646 236.71162 558.33846 236.49562 558.33846 236.20762 558.41046 235.99162 558.41046 235.70362 558.41046 235.48762 558.41046 235.19962 558.41046 234.98362 558.33846 234.69562 558.33846 234.47962 558.26646 234.19162 558.19446 233.97562 558.12246 233.68762 557.90646 233.47162 557.83446 233.32762 557.69046 233.03962 557.47446 232.89562 557.33046 239.87962 558.41046 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d 0 R 0 @G 0.00 0.20 0.50 0.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 1.49981 1.49981 0.00000 @w /$fm 0 def 210.57562 466.25046 m 210.57562 466.61046 L 210.43162 466.82646 L S @rax %Note: Object 155.90551 615.11811 161.57480 0 O 0 @g 0.44 0.26 0.00 0.09 k 0 J 0 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K 0 0.21600 0.21600 0.00000 @w /$fm 0 def 158.74016 620.78740 m 160.30148 620.78740 161.57480 161.57480 616.39143 160.30148 157.17883 615.11811 155.90551 155.90551 619.51408 157.17883 @c B 620.78740 @E 619.51408 615.11811 616.39143 620.78740 161.57480 158.74016 155.90551 158.74016 617.95276 615.11811 617.95276 620.78740 %%PageTrailer @rs @rs %%Trailer @EndSysCorelDict end %%DocumentSuppliedResources: procset wCorel11Dict 11.0 0 %%+ font mvrmp-Medium %%+ font mvmimp-Medium %%EOF c c c c %%EndDocument @endspecial 614 2647 a(That)h(is,)h(w)n(e)f(w)n(ould)g(lik)n(e)g(to)h (minimize)1692 2826 y Fm(J)1738 2838 y Fj(abs)1861 2826 y Fq(=)23 b Fm(r)1988 2792 y Fj(2)1986 2847 y(1)2045 2826 y Fq(+)18 b Fm(r)2167 2792 y Fj(2)2165 2847 y(2)2223 2826 y Fq(+)g Fl(\001)c(\001)g(\001)k Fq(+)g Fm(r)2543 2792 y Fj(2)2541 2847 y(7)614 3006 y Fq(Find)25 b(the)f(b)r(est)h(lo)r (cation)f(for)f(the)i(w)n(arehouse.)34 b(Plot)24 b(the)g(lo)r(cation)g (of)g(the)h(w)n(arehouse)e(and)h(the)614 3105 y(cities.)p Black 448 3237 a(\(b\))p Black 56 w(What)k(is)f(the)h(least-squares)d (cost?)p Black 448 3369 a(\(c\))p Black 65 w(No)n(w)38 b(w)n(e'd)i(lik)n(e)e(to)i(use)f(three)g(w)n(arehouses)e(instead)i(of)g (one,)j(and)d(assign)f(them)i(to)f(serv)n(e)614 3468 y(di\013eren)n(t)27 b(cities,)h(as)f(sho)n(wn)g(b)r(elo)n(w.)1351 5097 y @beginspecial 60 @llx 439 @lly 280 @urx 716 @ury 1436 @rwi @setspecial %%BeginDocument: ../../questions/0550_ls_facility_location/graphics_included/facloc_mt2.eps %!PS-Adobe-3.0 EPSF-3.0 %%BoundingBox: 60 439 280 716 %%LanguageLevel: 1 %%Creator: CorelDRAW 11 %%Title: facloc_mt2.eps %%CreationDate: Sun Feb 09 18:48:41 2003 %%For: Firstname Lastname %%DocumentProcessColors: Cyan Magenta Yellow Black %%DocumentSuppliedResources: (atend) %%EndComments %%BeginProlog /AutoFlatness false def /AutoSteps 0 def /CMYKMarks true def /UseLevel 1 def %Build: CorelDRAW 11 Version 11.633 %Color profile: Disabled /CorelIsEPS true def %%BeginResource: procset wCorel11Dict 11.0 0 /wCorel11Dict 300 dict def wCorel11Dict begin % Copyright (c)1992-2002 Corel Corporation % All rights reserved. v11.0 r0.0 /bd{bind def}bind def/ld{load def}bd/xd{exch def}bd/_ null def/rp{{pop}repeat} bd/@cp/closepath ld/@gs/gsave ld/@gr/grestore ld/@np/newpath ld/Tl/translate ld /$sv 0 def/@sv{/$sv save def}bd/@rs{$sv restore}bd/spg/showpage ld/showpage{} bd currentscreen/@dsp xd/$dsp/@dsp def/$dsa xd/$dsf xd/$sdf false def/$SDF false def/$Scra 0 def/SetScr/setscreen ld/@ss{2 index 0 eq{$dsf 3 1 roll 4 -1 roll pop}if exch $Scra add exch load SetScr}bd/SepMode_5 where{pop}{/SepMode_5 0 def}ifelse/CorelIsSeps where{pop}{/CorelIsSeps false def}ifelse /CorelIsInRIPSeps where{pop}{/CorelIsInRIPSeps false def}ifelse/CorelIsEPS where{pop}{/CorelIsEPS false def}ifelse/CurrentInkName_5 where{pop} {/CurrentInkName_5(Composite)def}ifelse/$ink_5 where{pop}{/$ink_5 -1 def} ifelse/$c 0 def/$m 0 def/$y 0 def/$k 0 def/$t 1 def/$n _ def/$o 0 def/$fil 0 def/$C 0 def/$M 0 def/$Y 0 def/$K 0 def/$T 1 def/$N _ def/$O 0 def/$PF false def/s1c 0 def/s1m 0 def/s1y 0 def/s1k 0 def/s1t 0 def/s1n _ def/$bkg false def /SK 0 def/SM 0 def/SY 0 def/SC 0 def/$op false def matrix currentmatrix/$ctm xd /$ptm matrix def/$ttm matrix def/$stm matrix def/$ffpnt true def /CorelDrawReencodeVect[16#0/grave 16#5/breve 16#6/dotaccent 16#8/ring 16#A/hungarumlaut 16#B/ogonek 16#C/caron 16#D/dotlessi 16#27/quotesingle 16#60/grave 16#7C/bar 16#82/quotesinglbase/florin/quotedblbase/ellipsis/dagger/daggerdbl 16#88/circumflex/perthousand/Scaron/guilsinglleft/OE 16#91/quoteleft/quoteright/quotedblleft/quotedblright/bullet/endash/emdash 16#98/tilde/trademark/scaron/guilsinglright/oe 16#9F/Ydieresis 16#A1/exclamdown/cent/sterling/currency/yen/brokenbar/section 16#a8/dieresis/copyright/ordfeminine/guillemotleft/logicalnot/minus/registered/macr on 16#b0/degree/plusminus/twosuperior/threesuperior/acute/mu/paragraph/periodcentered 16#b8/cedilla/onesuperior/ordmasculine/guillemotright/onequarter/onehalf/threequart ers/questiondown 16#c0/Agrave/Aacute/Acircumflex/Atilde/Adieresis/Aring/AE/Ccedilla 16#c8/Egrave/Eacute/Ecircumflex/Edieresis/Igrave/Iacute/Icircumflex/Idieresis 16#d0/Eth/Ntilde/Ograve/Oacute/Ocircumflex/Otilde/Odieresis/multiply 16#d8/Oslash/Ugrave/Uacute/Ucircumflex/Udieresis/Yacute/Thorn/germandbls 16#e0/agrave/aacute/acircumflex/atilde/adieresis/aring/ae/ccedilla 16#e8/egrave/eacute/ecircumflex/edieresis/igrave/iacute/icircumflex/idieresis 16#f0/eth/ntilde/ograve/oacute/ocircumflex/otilde/odieresis/divide 16#f8/oslash/ugrave/uacute/ucircumflex/udieresis/yacute/thorn/ydieresis]def /L2?/languagelevel where{pop languagelevel 2 ge}{false}ifelse def/Comp?{ /LumSepsDict where{pop false}{/AldusSepsDict where{pop false}{1 0 0 0 @gs setcmykcolor currentcmykcolor @gr add add add 0 ne 0 1 0 0 @gs setcmykcolor currentcmykcolor @gr add add add 0 ne 0 0 1 0 @gs setcmykcolor currentcmykcolor @gr add add add 0 ne 0 0 0 1 @gs setcmykcolor currentcmykcolor @gr add add add 0 ne and and and}ifelse}ifelse}bd/@PL{/LV where{pop LV 2 ge L2? not and{@np /Courier findfont 12 scalefont setfont 72 144 m (The PostScript level set in the Corel application is higher than)show 72 132 m (the PostScript level of this device. 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copy @MN @MN 3{dup 5 -1 roll sub neg exch}repeat}bd/rgb2g{2 index .299 mul 2 index .587 mul add 1 index .114 mul add 4 1 roll pop pop pop}bd/WaldoColor_5 where{pop}{/SetRgb /setrgbcolor ld/GetRgb/currentrgbcolor ld/SetGry/setgray ld/GetGry/currentgray ld/SetRgb2 systemdict/setrgbcolor get def/GetRgb2 systemdict/currentrgbcolor get def/SetHsb systemdict/sethsbcolor get def/GetHsb systemdict /currenthsbcolor get def/rgb2hsb{SetRgb2 GetHsb}bd/hsb2rgb{3 -1 roll dup floor sub 3 1 roll SetHsb GetRgb2}bd/setcmykcolor where{pop/LumSepsDict where{pop /SetCmyk_5{LumSepsDict/setcmykcolor get exec}def}{/AldusSepsDict where{pop /SetCmyk_5{AldusSepsDict/setcmykcolor get exec}def}{/SetCmyk_5/setcmykcolor ld }ifelse}ifelse}{/SetCmyk_5{cmyk2rgb SetRgb}bd}ifelse/currentcmykcolor where{ pop/GetCmyk/currentcmykcolor ld}{/GetCmyk{GetRgb rgb2cmyk}bd}ifelse /setoverprint where{pop}{/setoverprint{/$op xd}bd}ifelse/currentoverprint where {pop}{/currentoverprint{$op}bd}ifelse/@tc_5{5 -1 roll dup 1 ge{pop}{4{dup 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not}ifelse}bd/colorimage where{pop/ColorImage{colorimage}def}{/ColorImage{/ncolors xd/$multi xd $multi true eq{ncolors 3 eq{/daqB xd/daqG xd/daqR xd pop pop exch pop abs{daqR pop daqG pop daqB pop}repeat}{/daqK xd/daqY xd/daqM xd/daqC xd pop pop exch pop abs {daqC pop daqM pop daqY pop daqK pop}repeat}ifelse}{/dataaq xd{dataaq ncolors dup 3 eq{/$dat xd 0 1 $dat length 3 div 1 sub{dup 3 mul $dat 1 index get 255 div $dat 2 index 1 add get 255 div $dat 3 index 2 add get 255 div rgb2g 255 mul cvi exch pop $dat 3 1 roll put}for $dat 0 $dat length 3 idiv getinterval pop}{ 4 eq{/$dat xd 0 1 $dat length 4 div 1 sub{dup 4 mul $dat 1 index get 255 div $dat 2 index 1 add get 255 div $dat 3 index 2 add get 255 div $dat 4 index 3 add get 255 div cmyk2rgb rgb2g 255 mul cvi exch pop $dat 3 1 roll put}for $dat 0 $dat length ncolors idiv getinterval}if}ifelse}image}ifelse}bd}ifelse /setcmykcolor{1 5 1 roll _ currentoverprint @scc_5/$ffpnt xd}bd /currentcmykcolor{GetCmyk}bd/setrgbcolor{rgb2cmyk setcmykcolor}bd /currentrgbcolor{currentcmykcolor cmyk2rgb}bd/sethsbcolor{hsb2rgb setrgbcolor} bd/currenthsbcolor{currentrgbcolor rgb2hsb}bd/setgray{dup dup setrgbcolor}bd /currentgray{currentrgbcolor rgb2g}bd/InsideDCS false def/IMAGE/image ld/image {InsideDCS{IMAGE}{/EPSDict where{pop SepMode_5 0 eq{IMAGE}{dup type/dicttype eq {dup/ImageType get 1 ne{IMAGE}{dup dup/BitsPerComponent get 8 eq exch /BitsPerComponent get 1 eq or currentcolorspace 0 get/DeviceGray eq and{ CurrentInkName_5(Black)eq{IMAGE}{dup/DataSource get/TCC xd/Height get abs{TCC pop}repeat}ifelse}{IMAGE}ifelse}ifelse}{2 index 1 ne{CurrentInkName_5(Black)eq {IMAGE}{/TCC xd pop pop exch pop abs{TCC pop}repeat}ifelse}{IMAGE}ifelse} ifelse}ifelse}{IMAGE}ifelse}ifelse}bd}ifelse/WaldoColor_5 true def/$fm 0 def /wfill{1 $fm eq{fill}{eofill}ifelse}bd/@Pf{@sv SepMode_5 0 eq $Psc 0 ne or $ink_5 3 eq or{0 J 0 j0 d $t $c $m $y $k $n $o @scc_5 pop $ctm setmatrix 72 1000 div dup matrix scale dup concat dup Bburx exch Bbury exch itransform ceiling cvi/Bbury xd ceiling cvi/Bburx xd Bbllx exch Bblly exch itransform floor cvi/Bblly xd floor cvi/Bbllx xd $Prm aload pop $Psn load exec}{1 SetGry wfill}ifelse @rs @np}bd/F{matrix currentmatrix $sdf{$scf $sca $scp @ss}if $fil 1 eq{CorelPtrnDoFill}{$fil 2 eq{@ff}{$fil 3 eq{@Pf}{$fil 4 eq {CorelShfillDoFill}{$t $c $m $y $k $n $o @scc_5{wfill}{@np}ifelse}ifelse} ifelse}ifelse}ifelse $sdf{$dsf $dsa $dsp @ss}if setmatrix}bd/f{@cp F}bd/S{ matrix currentmatrix $ctm setmatrix $SDF{$SCF $SCA $SCP @ss}if $T $C $M $Y $K $N $O @scc_5{matrix currentmatrix $ptm concat stroke setmatrix}{@np}ifelse $SDF {$dsf $dsa $dsp @ss}if setmatrix}bd/s{@cp S}bd/B{@gs F @gr S}bd/b{@cp B}bd/_E{ 5 array astore exch cvlit xd}bd/@cc{currentfile $dat readhexstring pop}bd/@sm{ /$ctm $ctm currentmatrix def}bd/@E{/Bbury xd/Bburx xd/Bblly xd/Bbllx xd}bd/@c{ @cp}bd/@P{/$fil 3 def/$Psn xd/$Psc xd array astore/$Prm xd}bd/tcc{@cc}def/@B{ @gs S @gr F}bd/@b{@cp @B}bd/@sep{CurrentInkName_5(Composite)eq{/$ink_5 -1 def} {CurrentInkName_5(Cyan)eq{/$ink_5 0 def}{CurrentInkName_5(Magenta)eq{/$ink_5 1 def}{CurrentInkName_5(Yellow)eq{/$ink_5 2 def}{CurrentInkName_5(Black)eq {/$ink_5 3 def}{/$ink_5 4 def}ifelse}ifelse}ifelse}ifelse}ifelse}bd/@whi{@gs -72000 dup m -72000 72000 l 72000 dup l 72000 -72000 l @cp 1 SetGry fill @gr} bd/@neg{[{1 exch sub}/exec cvx currenttransfer/exec cvx]cvx settransfer @whi} bd/deflevel 0 def/@sax{/deflevel deflevel 1 add def}bd/@eax{/deflevel deflevel dup 0 gt{1 sub}if def deflevel 0 gt{/eax load}{eax}ifelse}bd/eax{{exec}forall} bd/@rax{deflevel 0 eq{@rs @sv}if}bd systemdict/pdfmark known not{/pdfmark /cleartomark ld}if/wclip{1 $fm eq{clip}{eoclip}ifelse}bd % Copyright (c)1992-2002 Corel Corporation % All rights reserved. v11.0 r0.1 /z{exch findfont exch scalefont setfont}bd/ZB{9 dict dup begin 4 1 roll /FontType 3 def/FontMatrix xd/FontBBox xd/Encoding 256 array def 0 1 255{ Encoding exch/.notdef put}for/CharStrings 256 dict def CharStrings/.notdef{} put/Metrics 256 dict def Metrics/.notdef 3 -1 roll put/BuildChar{exch dup /$char exch/Encoding get 3 index get def dup/Metrics get $char get aload pop setcachedevice begin Encoding exch get CharStrings exch get end exec}def end definefont pop}bd/ZBAddChar{findfont begin dup 4 1 roll dup 6 1 roll Encoding 3 1 roll put CharStrings 3 1 roll put Metrics 3 1 roll put end}bd/Z{findfont dup maxlength 2 add dict exch dup{1 index/FID ne{3 index 3 1 roll put}{pop pop} ifelse}forall pop dup dup/Encoding get 256 array copy dup/$fe xd/Encoding exch put dup/Fontname 3 index put 3 -1 roll dup length 0 ne{0 exch{dup type 0 type eq{exch pop}{$fe exch 2 index exch put 1 add}ifelse}forall pop}if dup 256 dict dup/$met xd/Metrics exch put dup/FontMatrix get 0 get 1000 mul 1 exch div 3 index length 256 eq{0 1 255{dup $fe exch get dup/.notdef eq{pop pop}{5 index 3 -1 roll get 2 index mul $met 3 1 roll put}ifelse}for}if pop definefont pop pop }bd/CorelIsValidCharpath{pathbbox 3 -1 roll sub abs 0.5 ge 3 1 roll sub abs 0.5 ge and}bd/@ftx{{currentpoint 3 -1 roll(0)dup 3 -1 roll 0 exch put dup @gs true charpath $ctm setmatrix CorelIsValidCharpath{@@txt}if @gr @np stringwidth pop 3 -1 roll add exch m}forall}bd/@ft{matrix currentmatrix exch $sdf{$scf $sca $scp @ss}if $fil 1 eq{/@@txt/@pf ld @ftx}{$fil 2 eq{/@@txt/@ff ld @ftx}{$fil 3 eq {/@@txt/@Pf ld @ftx}{$fil 4 eq{/@@txt/CorelShfillDoFill ld @ftx}{$t $c $m $y $k $n $o @scc_5{show}{pop}ifelse}ifelse}ifelse}ifelse}ifelse $sdf{$dsf $dsa $dsp @ss}if setmatrix}bd/@st{matrix currentmatrix exch $SDF{$SCF $SCA $SCP @ss}if $T $C $M $Y $K $N $O @scc_5{{currentpoint 3 -1 roll(0)dup 3 -1 roll 0 exch put dup @gs true charpath $ctm setmatrix $ptm concat stroke @gr @np stringwidth pop 3 -1 roll add exch m}forall}{pop}ifelse $SDF{$dsf $dsa $dsp @ss}if setmatrix}bd /@te{@ft}bd/@tr{@st}bd/@ta{dup @gs @ft @gr @st}bd/@t@a{dup @gs @st @gr @ft}bd /@tm{@sm concat}bd/e{/t{@te}def}bd/r{/t{@tr}def}bd/o{/t{pop}def}bd/a{/t{@ta} def}bd/@a{/t{@t@a}def}bd/t{@te}def/T{@np $ctm setmatrix/$ttm matrix def}bd/ddt {t}def/@t{/$stm $stm currentmatrix def 3 1 roll m $ttm concat ddt $stm setmatrix}bd/@n{/$ttm exch matrix rotate def}bd/@s{}bd/@l{}bd/_lineorientation 0 def/_bitfont null def/_bitlobyte 0 def/_bitkey null def/_bithibyte 0 def % Copyright (c)1992-2002 Corel Corporation % All rights reserved. v11.0 r0.0 /@ii{concat 3 index 3 index m 3 index 1 index l 2 copy l 1 index 3 index l 3 index 3 index l clip pop pop pop pop}bd/@i{@sm @gs @ii 6 index 1 ne{/$frg true def pop pop}{1 eq{s1t s1c s1m s1y s1k s1n $O @scc_5/$frg xd}{/$frg false def} ifelse 1 eq{@gs $ctm setmatrix F @gr}if}ifelse @np/$ury xd/$urx xd/$lly xd /$llx xd/$bts xd/$hei xd/$wid xd/$dat $wid $bts mul 8 div ceiling cvi string def $bkg $frg or{$SDF{$SCF $SCA $SCP @ss}if $llx $lly Tl $urx $llx sub $ury $lly sub scale $bkg{$t $c $m $y $k $n $o @scc_5 pop}if $wid $hei abs $bts 1 eq {$bkg}{$bts}ifelse[$wid 0 0 $hei neg 0 $hei 0 gt{$hei}{0}ifelse]/tcc load $bts 1 eq{imagemask}{image}ifelse $SDF{$dsf $dsa $dsp @ss}if}{$hei abs{tcc pop} repeat}ifelse @gr $ctm setmatrix}bd/@I{@sm @gs @ii @np/$ury xd/$urx xd/$lly xd /$llx xd/$ncl xd/$bts xd/$hei xd/$wid xd $ngx $llx $lly Tl $urx $llx sub $ury $lly sub scale $wid $hei abs $bts[$wid 0 0 $hei neg 0 $hei 0 gt{$hei}{0}ifelse$msimage false eq $ncl 1 eq or{/$dat $wid $bts mul $ncl mul 8 div ceiling cvi string def/@cc load false $ncl ColorImage}{$wid $bts mul 8 div ceiling cvi $ncl 3 eq{dup dup/$dat1 exch string def/$dat2 exch string def/$dat3 exch string def /@cc1 load/@cc2 load/@cc3 load}{dup dup dup/$dat1 exch string def/$dat2 exch string def/$dat3 exch string def/$dat4 exch string def/@cc1 load/@cc2 load /@cc3 load/@cc4 load}ifelse true $ncl ColorImage}ifelse $SDF{$dsf $dsa $dsp @ss}if @gr $ctm setmatrix}bd/@cc1{currentfile $dat1 readhexstring pop}bd/@cc2{ currentfile $dat2 readhexstring pop}bd/@cc3{currentfile $dat3 readhexstring pop }bd/@cc4{currentfile $dat4 readhexstring pop}bd/$msimage false def/COMP 0 def /MaskedImage false def 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$lly sub scale/ImageDataDict 8 dict def ImageDataDict begin/ImageType 1 def/Width $wid def/Height $hei abs def/BitsPerComponent $bts def/Decode $ncl 1 eq{[0 1]}{$ncl 3 eq{[0 1 0 1 0 1]}{[0 1 0 1 0 1 0 1]}ifelse}ifelse def /ImageMatrix[$wid 0 0 $hei neg 0 $hei 0 gt{$hei}{0}ifelse]def/DataSource currentfile/ASCII85Decode filter COMP 1 eq{/DCTDecode filter}{COMP 2 eq{ /RunLengthDecode filter}if}ifelse def end/MaskedImageDict 7 dict def MaskedImageDict begin/ImageType 3 def/InterleaveType 3 def/MaskDict ImageMaskDict def/DataDict ImageDataDict def end MaskedImageDict image $SDF {$dsf $dsa $dsp @ss}if @gr $ctm setmatrix}bd/@SetMask{/$mbts xd/$mhei xd/$mwid xd/ImageMaskDict 8 dict def ImageMaskDict begin/ImageType 1 def/Width $mwid def /Height $mhei abs def/BitsPerComponent $mbts def/DataSource maskstream def /ImageMatrix[$mwid 0 0 $mhei neg 0 $mhei 0 gt{$mhei}{0}ifelse]def/Decode[1 0] def end}bd/@daq{dup type/arraytype eq{{}forall}if}bd/@BMP{/@cc xd UseLevel 3 eq MaskedImage true eq and{7 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554.23446 L S @rax %Note: Object 279.69506 554.23389 279.69619 554.23502 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 554.23446 m 279.69562 554.23446 L S @rax %Note: Object 74.35162 583.60989 279.69562 583.61102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 583.61046 m 279.69562 583.61046 L S @rax %Note: Object 279.69506 583.60989 279.69619 583.61102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 583.61046 m 279.69562 583.61046 L S @rax %Note: Object 74.35162 612.98589 279.69562 612.98702 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 612.98646 m 279.69562 612.98646 L S @rax %Note: Object 279.69506 612.98589 279.69619 612.98702 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 612.98646 m 279.69562 612.98646 L S @rax %Note: Object 74.35162 642.28989 279.69562 642.29102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 642.29046 m 279.69562 642.29046 L S @rax %Note: Object 279.69506 642.28989 279.69619 642.29102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 642.29046 m 279.69562 642.29046 L S @rax %Note: Object 74.35162 671.66589 279.69562 671.66702 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 671.66646 m 279.69562 671.66646 L S @rax %Note: Object 279.69506 671.66589 279.69619 671.66702 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 671.66646 m 279.69562 671.66646 L S @rax %Note: Object 74.35162 700.96989 279.69562 700.97102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 74.35162 700.97046 m 279.69562 700.97046 L S @rax %Note: Object 279.69506 700.96989 279.69619 700.97102 @E 0 J 1 j [2 12 ] 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.33307 0.33307 0.00000 @w /$fm 0 def 279.69562 700.97046 m 279.69562 700.97046 L S @rax %Note: Object 74.35162 451.56189 279.69562 451.56302 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 451.56246 m 279.69562 451.56246 L S @rax %Note: Object 74.35162 715.58589 279.69562 715.58702 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 715.58646 m 279.69562 715.58646 L S @rax %Note: Object 74.35106 451.56246 74.35219 715.58646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 451.56246 m 74.35162 715.58646 L S @rax %Note: Object 279.69506 451.56246 279.69619 715.58646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 451.56246 m 279.69562 715.58646 L S @rax %Note: Object 74.35162 451.56189 279.69562 451.56302 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 451.56246 m 279.69562 451.56246 L S @rax %Note: Object 74.35106 451.56246 74.35219 715.58646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 451.56246 m 74.35162 715.58646 L S @rax %Note: Object 89.03906 451.56246 89.04019 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 89.03962 451.56246 m 89.03962 454.22646 L S @rax %Note: Object 89.03906 712.99446 89.04019 715.65846 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 89.03962 715.65846 m 89.03962 712.99446 L S @rax %Note: Object 80.91156 441.86003 83.36154 442.76003 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 83.36154 442.76003 m 80.91156 442.76003 L 80.91156 441.86003 L 83.36154 441.86003 L 83.36154 442.76003 L @c F @rax %Note: Object 84.03364 439.54016 89.01354 446.57008 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 89.01354 441.25002 m 89.01354 442.00998 L 87.98343 442.00998 L 87.98343 446.57008 L 87.25351 446.57008 L 84.03364 442.11005 L 84.03364 441.25002 L 87.10356 441.25002 L 87.10356 439.54016 L 87.98343 439.54016 L 87.98343 441.25002 L 89.01354 441.25002 L @c 87.08343 445.20009 m 87.10356 445.20009 L 87.10356 442.00998 L 84.84350 442.00998 L 87.08343 445.20009 L @c F @rax %Note: Object 118.34306 451.56246 118.34419 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 118.34362 451.56246 m 118.34362 454.22646 L S @rax %Note: Object 118.34306 712.99446 118.34419 715.65846 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 118.34362 715.65846 m S 118.34362 712.99446 L S @rax %Note: Object 110.21556 441.86003 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 112.66554 442.76003 110.21556 442.76003 110.21556 441.86003 112.66554 441.86003 112.66554 442.76003 @c F @rax %Note: Object 113.42750 439.34854 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 115.32756 442.78016 115.45767 442.78016 116.32762 442.79008 117.36765 440.69017 114.52762 440.13997 113.42750 441.68995 113.48759 440.88009 114.81761 439.47836 117.56750 439.34854 118.30762 442.54998 117.13748 443.26998 117.51761 443.39017 118.03748 445.78998 114.01767 446.57008 114.45761 444.27005 114.49757 444.75987 116.87754 445.78006 117.12756 443.79014 115.63767 443.52000 115.32756 442.78016 @c F 112.66554 442.76003 @E k m L L L L 118.30762 446.57008 @E k m 115.59770 117.36765 116.73751 114.36746 L 113.69764 115.25754 118.30762 117.81751 L 118.03748 117.22762 113.59757 L 114.57751 117.12756 116.46765 115.47751 L 442.79008 442.68009 440.13997 441.03005 115.72753 117.36765 115.83751 114.33770 442.79008 441.50003 440.13997 441.68995 c c c C 440.07024 439.34854 440.46000 443.03017 114.47773 115.77770 118.30762 117.13748 439.66006 439.34854 441.61002 443.25014 c c c C 443.81991 118.03748 444.71991 c 446.57008 115.86756 446.57008 c 445.29987 113.59757 444.27005 C 445.78006 445.09011 443.52000 443.52992 115.82759 117.12756 115.78762 115.32756 445.78006 444.67002 443.52000 443.54013 c c c C @rax %Note: Object 147.71906 451.56246 147.72019 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 147.71962 451.56246 m 147.71962 454.22646 L S @rax %Note: Object 147.71906 712.99446 147.72019 715.65846 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 147.71962 715.65846 m 147.71962 712.99446 L S @rax %Note: Object 139.59156 441.86003 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 142.04154 442.76003 139.59156 442.76003 139.59156 441.86003 142.04154 441.86003 142.04154 442.76003 @c F @rax %Note: Object 142.72356 439.54016 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 143.78372 444.05008 143.81348 444.53991 146.23342 445.78006 146.59342 443.59002 144.37361 442.33002 143.43364 441.78009 147.53339 439.54016 147.53339 440.37014 143.71370 440.37014 143.75367 440.64000 145.65345 442.11997 146.70340 442.68009 147.53339 445.78006 144.57345 446.57008 143.78372 444.05008 @c F 142.04154 442.76003 @E k m L L L L 147.53339 446.57008 @E k m 143.87357 146.59342 146.05342 l 142.77373 L L L 143.96372 l 147.53339 146.55345 142.90356 L 445.78006 145.20359 445.78006 c 445.06998 146.59342 444.51014 c 443.30003 145.30365 442.87002 c 441.00000 142.72356 439.54016 C 441.19020 144.92353 441.72000 c 443.21017 147.53339 444.46989 c 446.57008 145.33342 446.57008 c 446.33991 142.90356 444.05008 C @rax %Note: Object 177.02306 451.56246 177.02419 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 177.02362 451.56246 m 177.02362 454.22646 L S @rax %Note: Object 177.02306 712.99446 177.02419 715.65846 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 177.02362 715.65846 m 177.02362 712.99446 L S @rax %Note: Object 168.89556 441.86003 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 171.34554 442.76003 168.89556 442.76003 168.89556 441.86003 171.34554 441.86003 171.34554 442.76003 @c F @rax %Note: Object 172.77761 439.54016 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 175.35742 446.57008 174.66746 446.57008 174.38769 445.42006 172.77761 444.52998 174.41745 444.52998 174.41745 439.54016 175.35742 439.54016 175.35742 446.57008 @c F 171.34554 442.76003 @E k m L L L L 175.35742 446.57008 @E k m L 173.91770 445.31008 172.77761 445.22986 C L L L L L @rax %Note: Object 206.39906 451.56246 206.40019 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 206.39962 451.56246 m 206.39962 454.22646 L S @rax %Note: Object 206.39906 712.99446 206.40019 715.65846 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 206.39962 715.65846 m 206.39962 712.99446 L S @rax %Note: Object 203.96154 439.34854 208.78157 446.57008 @E 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 207.84161 442.96016 207.84161 441.20013 205.36157 440.13997 204.90151 444.71991 207.38154 445.78006 @c 208.78157 442.96016 208.78157 444.42000 204.35159 446.57008 203.96154 441.50003 208.39153 439.34854 @c F k m 207.38154 204.90151 205.36157 207.84161 440.13997 441.20013 445.78006 444.71991 206.37156 204.90151 206.37156 207.84161 440.13997 442.96016 445.78006 442.96016 c c c c m 208.39153 203.96154 204.35159 208.78157 446.57008 444.42000 439.34854 441.50003 206.37156 203.96154 206.37156 208.78157 446.57008 442.96016 439.34854 442.96016 c c c c @rax %Note: Object 235.70306 451.56246 235.70419 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 235.70362 451.56246 m 235.70362 454.22646 L S @rax %Note: Object 235.70306 712.99446 235.70419 715.65846 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 235.70362 715.65846 m 235.70362 712.99446 L S @rax %Note: Object 233.97761 439.54016 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 236.55742 446.57008 235.86746 446.57008 235.58769 445.42006 233.97761 444.52998 235.61745 444.52998 235.61745 439.54016 236.55742 439.54016 236.55742 446.57008 @c F 236.55742 446.57008 @E k m L 235.11770 445.31008 233.97761 445.22986 C L L L L L @rax %Note: Object 265.00706 451.56246 265.00819 454.22646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 265.00762 451.56246 m 265.00762 454.22646 L S @rax %Note: Object 265.00706 712.99446 265.00819 715.65846 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 265.00762 715.65846 m 265.00762 712.99446 L S @rax %Note: Object 262.53156 439.54016 0 O 0 @g 0.00 0.00 0.00 1.00 /$fm 0 def 263.59172 444.05008 263.62148 444.53991 266.04142 445.78006 266.40142 443.59002 264.18161 442.33002 263.24164 441.78009 267.34139 439.54016 267.34139 440.37014 263.52170 440.37014 263.56167 440.64000 265.46145 442.11997 266.51140 442.68009 267.34139 445.78006 264.38145 446.57008 263.59172 444.05008 @c F 267.34139 446.57008 @E k m 263.68157 266.40142 265.86142 l 262.58173 L L L 263.77172 l 267.34139 266.36145 262.71156 L 445.78006 265.01159 445.78006 c 445.06998 266.40142 444.51014 c 443.30003 265.11165 442.87002 c 441.00000 262.53156 439.54016 C 441.19020 264.73153 441.72000 c 443.21017 267.34139 444.46989 c 446.57008 265.14142 446.57008 c 446.33991 262.71156 444.05008 C @rax %Note: Object 74.35162 466.24989 77.01562 466.25102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 466.25046 m 77.01562 466.25046 L S @rax %Note: Object 277.03162 466.24989 279.69562 466.25102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 466.25046 m 277.03162 466.25046 L S @rax %Note: Object 60.53556 464.90003 62.98554 465.80003 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 62.98554 465.80003 m 60.53556 465.80003 L 60.53556 464.90003 L 62.98554 464.90003 L 62.98554 465.80003 L @c F @rax %Note: Object 63.72964 462.58016 68.70954 469.61008 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 68.70954 464.29002 m 68.70954 465.04998 L 67.67943 465.04998 L 67.67943 469.61008 L 66.94951 469.61008 L 63.72964 465.15005 L 63.72964 464.29002 L 66.79956 464.29002 L 66.79956 462.58016 L 67.67943 462.58016 L 67.67943 464.29002 L 68.70954 464.29002 L @c 66.77943 468.24009 m 66.79956 468.24009 L 66.79956 465.04998 L 64.53950 465.04998 L 66.77943 468.24009 L @c F @rax %Note: Object 74.35162 495.55389 77.01562 495.55502 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 495.55446 m 77.01562 495.55446 L S @rax %Note: Object 277.03162 495.55389 279.69562 495.55502 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 495.55446 m 277.03162 495.55446 L S @rax %Note: Object 60.53556 494.27603 62.98554 495.17603 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 62.98554 495.17603 m 60.53556 495.17603 L 60.53556 494.27603 L 62.98554 494.27603 L 62.98554 495.17603 L @c F @rax %Note: Object 63.81950 491.76454 68.69962 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 65.71956 495.19616 m 65.84967 495.19616 65.98970 66.71962 495.20608 67.75965 67.75965 493.10617 67.12951 64.91962 492.55597 64.75946 63.81950 494.10595 L 63.87959 493.29609 64.08964 65.20961 491.89436 65.64954 67.95950 491.76454 68.69962 68.69962 494.96598 68.20951 67.52948 495.68598 L 67.90961 495.80617 68.42948 68.42948 498.20598 67.61962 64.40967 498.98608 63.98957 64.84961 496.68605 L 64.88957 497.17587 64.96951 67.26954 498.19606 67.51956 67.51956 496.20614 66.85965 66.02967 495.93600 65.86951 65.71956 495.19616 L @c F 498.98608 @E 495.20608 495.09609 492.55597 493.44605 66.11953 67.75965 66.22951 64.72970 495.20608 493.91603 492.55597 494.10595 c c c C 492.48624 491.76454 492.87600 495.44617 64.86973 66.16970 68.69962 67.52948 492.07606 491.76454 494.02602 495.66614 c c c C 496.23591 68.42948 497.13591 c 498.98608 66.25956 498.98608 c 497.71587 63.98957 496.68605 C 498.19606 497.50611 495.93600 495.94592 66.21959 67.51956 66.17962 65.71956 498.19606 497.08602 495.93600 495.95613 c c c C @rax %Note: Object 74.35162 524.92989 77.01562 524.93102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 524.93046 m 77.01562 524.93046 L S @rax %Note: Object 277.03162 524.92989 279.69562 524.93102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 524.93046 m 277.03162 524.93046 L S @rax %Note: Object 60.53556 523.58003 62.98554 524.48003 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 62.98554 524.48003 m 60.53556 524.48003 L 60.53556 523.58003 L 62.98554 523.58003 L 62.98554 524.48003 L @c F @rax %Note: Object 63.73956 521.26016 68.54939 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 64.79972 525.77008 m 64.82948 526.25991 64.88957 67.24942 527.50006 67.60942 67.60942 525.31002 67.06942 65.38961 524.05002 l 64.44964 523.50009 63.78973 68.54939 521.26016 L 68.54939 522.09014 L 64.72970 522.09014 L 64.76967 522.36000 64.97972 66.66945 523.83997 l 67.71940 524.40009 68.54939 68.54939 527.50006 67.56945 65.58945 528.29008 63.91956 64.79972 525.77008 L @c F 528.29008 @E 527.50006 66.21959 527.50006 c 526.78998 67.60942 526.23014 c 525.02003 66.31965 524.59002 c 522.72000 63.73956 521.26016 C 522.91020 65.93953 523.44000 c 524.93017 68.54939 526.18989 c 528.29008 66.34942 528.29008 c 528.05991 63.91956 525.77008 C @rax %Note: Object 74.35162 554.23389 77.01562 554.23502 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 554.23446 m 77.01562 554.23446 L S @rax %Note: Object 277.03162 554.23389 279.69562 554.23502 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 554.23446 m 277.03162 554.23446 L S @rax %Note: Object 60.53556 552.88403 62.98554 553.78403 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 62.98554 553.78403 m 60.53556 553.78403 L 60.53556 552.88403 L 62.98554 552.88403 L 62.98554 553.78403 L @c F @rax %Note: Object 64.48961 550.56416 67.06942 557.59408 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 67.06942 557.59408 m 66.37946 557.59408 L 66.09969 556.44406 65.62970 556.33408 64.48961 556.25386 C 64.48961 555.55398 L 66.12945 555.55398 L 66.12945 550.56416 L 67.06942 550.56416 L 67.06942 557.59408 L @c F @rax %Note: Object 74.35162 583.60989 77.01562 583.61102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 583.61046 m 77.01562 583.61046 L S @rax %Note: Object 277.03162 583.60989 279.69562 583.61102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 583.61046 m 277.03162 583.61046 L S @rax %Note: Object 66.29754 579.74854 71.11757 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 70.17761 583.36016 m 70.17761 581.60013 69.71754 67.69757 580.53997 67.23751 67.23751 585.11991 67.69757 69.71754 586.18006 70.17761 @c 71.11757 583.36016 m 71.11757 584.82000 70.72753 66.68759 586.97008 66.29754 66.29754 581.90003 66.68759 70.72753 579.74854 71.11757 @c F 586.97008 @E 580.53997 581.60013 586.18006 585.11991 68.70756 67.23751 68.70756 70.17761 580.53997 583.36016 586.18006 583.36016 c c c c 586.97008 584.82000 579.74854 581.90003 68.70756 66.29754 68.70756 71.11757 586.97008 583.36016 579.74854 583.36016 c c c c @rax %Note: Object 74.35162 612.98589 77.01562 612.98702 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 612.98646 m 77.01562 612.98646 L S @rax %Note: Object 277.03162 612.98589 279.69562 612.98702 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 612.98646 m 277.03162 612.98646 L S @rax %Note: Object 66.93761 609.31616 69.51742 616.34608 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 69.51742 616.34608 m 68.82746 616.34608 L 68.54769 615.19606 68.07770 615.08608 66.93761 615.00586 C 66.93761 614.30598 L 68.57745 614.30598 L 68.57745 609.31616 L 69.51742 609.31616 L 69.51742 616.34608 L @c F @rax %Note: Object S 74.35162 642.28989 77.01562 642.29102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 642.29046 m 77.01562 642.29046 L S @rax %Note: Object 277.03162 642.28989 279.69562 642.29102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 642.29046 m 277.03162 642.29046 L S @rax %Note: Object 66.18756 638.62016 70.99739 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 67.24772 643.13008 m 67.27748 643.61991 67.33757 69.69742 644.86006 70.05742 70.05742 642.67002 69.51742 67.83761 641.41002 l 66.89764 640.86009 66.23773 70.99739 638.62016 L 70.99739 639.45014 L 67.17770 639.45014 L 67.21767 639.72000 67.42772 69.11745 641.19997 l 70.16740 641.76009 70.99739 70.99739 644.86006 70.01745 68.03745 645.65008 66.36756 67.24772 643.13008 L @c F 645.65008 @E 644.86006 68.66759 644.86006 c 644.14998 70.05742 643.59014 c 642.38003 68.76765 641.95002 c 640.08000 66.18756 638.62016 C 640.27020 68.38753 640.80000 c 642.29017 70.99739 643.54989 c 645.65008 68.79742 645.65008 c 645.41991 66.36756 643.13008 C @rax %Note: Object 74.35162 671.66589 77.01562 671.66702 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 671.66646 m 77.01562 671.66646 L S @rax %Note: Object 277.03162 671.66589 279.69562 671.66702 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 671.66646 m 277.03162 671.66646 L S @rax %Note: Object 66.26750 667.80454 71.14762 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 68.16756 671.23616 m 68.29767 671.23616 68.43770 69.16762 671.24608 70.20765 70.20765 669.14617 69.57751 67.36762 668.59597 67.20746 66.26750 670.14595 L 66.32759 669.33609 66.53764 67.65761 667.93436 68.09754 70.40750 667.80454 71.14762 71.14762 671.00598 70.65751 69.97748 671.72598 L 70.35761 671.84617 70.87748 70.87748 674.24598 70.06762 66.85767 675.02608 66.43757 67.29761 672.72605 L 67.33757 673.21587 67.41751 69.71754 674.23606 69.96756 69.96756 672.24614 69.30765 68.47767 671.97600 68.31751 68.16756 671.23616 L @c F 675.02608 @E 671.24608 671.13609 668.59597 669.48605 68.56753 70.20765 68.67751 67.17770 671.24608 669.95603 668.59597 670.14595 c c c C 668.52624 667.80454 668.91600 671.48617 67.31773 68.61770 71.14762 69.97748 668.11606 667.80454 670.06602 671.70614 c c c C 672.27591 70.87748 673.17591 c 675.02608 68.70756 675.02608 c 673.75587 66.43757 672.72605 C 674.23606 673.54611 671.97600 671.98592 68.66759 69.96756 68.62762 68.16756 674.23606 673.12602 671.97600 671.99613 c c c C @rax %Note: Object 74.35162 700.96989 77.01562 700.97102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 700.97046 m 77.01562 700.97046 L S @rax %Note: Object 277.03162 700.96989 279.69562 700.97102 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 700.97046 m 277.03162 700.97046 L S @rax %Note: Object 66.17764 697.37216 71.15754 704.40208 @E 0 O 0 @g 0.00 0.00 0.00 1.00 k /$fm 0 def 71.15754 699.08202 m 71.15754 699.84198 L 70.12743 699.84198 L 70.12743 704.40208 L 69.39751 704.40208 L 66.17764 699.94205 L 66.17764 699.08202 L 69.24756 699.08202 L 69.24756 697.37216 L 70.12743 697.37216 L 70.12743 699.08202 L 71.15754 699.08202 L @c 69.22743 703.03209 m 69.24756 703.03209 L 69.24756 699.84198 L 66.98750 699.84198 L 69.22743 703.03209 L @c F @rax %Note: Object 74.35162 451.56189 279.69562 451.56302 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 451.56246 m 279.69562 451.56246 L S @rax %Note: Object 74.35162 715.58589 279.69562 715.58702 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 715.58646 m 279.69562 715.58646 L S @rax %Note: Object 74.35106 451.56246 74.35219 715.58646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 74.35162 451.56246 m 74.35162 715.58646 L S @rax %Note: Object 279.69506 451.56246 279.69619 715.58646 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.00 0.00 1.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 0.49975 0.49975 0.00000 @w /$fm 0 def 279.69562 451.56246 m 279.69562 715.58646 L S @rax %Note: Object 231.52762 550.20246 0 O 0 @g 0.00 0.40 1.00 0.00 /$fm 0 def 239.87962 554.23446 239.87962 554.59446 239.80762 554.81046 239.80762 555.09846 239.73562 555.31446 239.59162 555.60246 239.51962 555.81846 239.44762 556.10646 239.37562 556.25046 239.23162 556.53846 239.01562 556.75446 238.87162 556.89846 238.72762 557.18646 238.51162 557.33046 238.36762 557.47446 238.15162 557.69046 237.93562 557.83446 237.71962 557.90646 237.43162 558.12246 237.21562 558.19446 236.92762 558.26646 236.71162 558.33846 236.49562 558.33846 236.20762 558.41046 235.99162 558.41046 235.70362 558.41046 235.48762 558.41046 235.19962 558.41046 234.98362 558.33846 234.69562 558.33846 234.47962 558.26646 234.19162 558.19446 233.97562 558.12246 233.68762 557.90646 233.47162 557.83446 233.32762 557.69046 233.03962 557.47446 232.89562 557.33046 232.67962 557.18646 232.53562 556.89846 232.39162 556.75446 232.24762 556.53846 232.03162 556.25046 231.95962 556.10646 231.88762 555.81846 239.87962 558.41046 @E k m L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L 231.81562 231.74362 231.59962 231.59962 231.52762 231.52762 231.52762 231.59962 231.59962 231.74362 231.81562 231.88762 231.95962 232.03162 232.24762 232.39162 232.53562 232.75162 232.89562 233.03962 233.32762 233.47162 233.68762 233.97562 234.19162 234.47962 234.69562 234.98362 235.19962 235.48762 235.70362 235.99162 236.20762 236.49562 236.71162 236.99962 237.21562 237.43162 237.71962 237.93562 238.15162 238.36762 238.58362 238.72762 238.87162 239.01562 239.23162 239.37562 239.44762 239.51962 239.66362 239.73562 239.80762 239.80762 239.87962 239.87962 239.87962 @c F 555.60246 555.31446 555.09846 554.81046 554.59446 554.23446 554.01846 553.73046 553.51446 553.22646 553.01046 552.79446 552.50646 552.36246 552.07446 551.85846 551.64246 551.42646 551.28246 551.06646 550.92246 550.77846 550.70646 550.49046 550.41846 550.34646 550.27446 550.27446 550.20246 550.20246 550.20246 550.20246 550.20246 550.27446 550.27446 550.34646 550.41846 550.49046 550.70646 550.77846 550.92246 551.06646 551.28246 551.42646 551.64246 551.85846 552.07446 552.36246 552.50646 552.79446 553.01046 553.22646 553.51446 553.73046 554.01846 554.23446 554.23446 L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L @rax %Note: Object 231.52762 550.20246 239.87962 558.41046 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.20 0.50 0.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 1.49981 1.49981 0.00000 @w /$fm 0 def 239.80762 554.81046 m 239.80762 555.09846 L 239.73562 555.31446 L 239.59162 555.60246 L 239.51962 555.81846 L 239.44762 556.10646 L 239.37562 556.25046 L 239.23162 556.53846 L 239.01562 556.75446 L 238.87162 556.89846 L 238.72762 557.18646 L 238.51162 557.33046 L 238.36762 557.47446 L 238.15162 557.69046 L 237.93562 557.83446 L 237.71962 557.90646 L 237.43162 558.12246 L 237.21562 558.19446 L 236.92762 558.26646 L 236.71162 558.33846 L 236.49562 558.33846 L 236.20762 558.41046 L 235.99162 558.41046 L 235.70362 558.41046 L 235.48762 558.41046 L 235.19962 558.41046 L 234.98362 558.33846 L 234.69562 558.33846 L 234.47962 558.26646 L 234.19162 558.19446 L 233.97562 558.12246 L 233.68762 557.90646 L 233.47162 557.83446 L 233.32762 557.69046 L 233.03962 557.47446 L 232.89562 557.33046 L 232.67962 557.18646 L 232.53562 556.89846 L 232.39162 556.75446 L 232.24762 556.53846 L 232.03162 556.25046 L 231.95962 556.10646 L 231.88762 555.81846 L 231.81562 555.60246 L 231.74362 555.31446 L 231.59962 555.09846 L 231.59962 554.81046 L 231.52762 554.59446 L 231.52762 554.23446 L 231.52762 554.01846 L 231.59962 553.73046 L F 231.59962 231.74362 231.81562 231.88762 231.95962 232.03162 232.24762 232.39162 232.53562 232.75162 232.89562 233.03962 233.32762 233.47162 233.68762 233.97562 234.19162 234.47962 234.69562 234.98362 235.19962 235.48762 235.70362 235.99162 236.20762 236.49562 236.71162 236.99962 237.21562 237.43162 237.71962 237.93562 238.15162 238.36762 238.58362 238.72762 238.87162 239.01562 239.23162 239.37562 239.44762 239.51962 239.66362 239.73562 239.80762 239.80762 239.87962 239.87962 S 553.51446 553.22646 553.01046 552.79446 552.50646 552.36246 552.07446 551.85846 551.64246 551.42646 551.28246 551.06646 550.92246 550.77846 550.70646 550.49046 550.41846 550.34646 550.27446 550.27446 550.20246 550.20246 550.20246 550.20246 550.20246 550.27446 550.27446 550.34646 550.41846 550.49046 550.70646 550.77846 550.92246 551.06646 551.28246 551.42646 551.64246 551.85846 552.07446 552.36246 552.50646 552.79446 553.01046 553.22646 553.51446 553.73046 554.01846 554.23446 L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L @rax %Note: Object 239.80762 554.23446 239.87962 554.81046 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.20 0.50 0.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 1.49981 1.49981 0.00000 @w /$fm 0 def 239.87962 554.23446 m 239.87962 554.59446 L 239.80762 554.81046 L S @rax %Note: Object 260.90362 608.88246 0 O 0 @g 0.00 0.40 1.00 0.00 /$fm 0 def 269.18362 612.91446 269.18362 613.27446 269.11162 613.49046 269.11162 613.77846 269.03962 613.99446 268.96762 614.28246 268.89562 614.49846 268.82362 614.78646 268.67962 614.93046 268.53562 615.14646 268.39162 615.43446 268.17562 615.57846 268.03162 615.86646 267.88762 616.01046 267.74362 616.15446 267.45562 616.37046 267.31162 616.51446 267.02362 616.58646 266.80762 616.73046 266.51962 616.87446 266.30362 616.94646 266.01562 617.01846 265.79962 617.01846 265.51162 617.09046 265.29562 617.09046 265.07962 617.09046 264.79162 617.09046 264.57562 617.09046 264.28762 617.01846 264.07162 617.01846 263.78362 616.94646 263.56762 616.87446 263.27962 616.73046 263.06362 616.58646 262.77562 616.51446 262.63162 616.37046 262.41562 616.15446 262.19962 616.01046 262.05562 615.86646 261.91162 615.57846 261.69562 615.43446 261.55162 615.14646 261.40762 614.93046 261.26362 614.78646 261.19162 614.49846 261.11962 614.28246 261.04762 613.99446 260.97562 613.77846 260.97562 613.49046 260.90362 613.27446 260.90362 612.91446 269.18362 617.09046 @E k m L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L 260.90362 260.97562 260.97562 261.04762 261.11962 261.19162 261.26362 261.40762 261.55162 261.69562 261.91162 262.05562 262.19962 262.41562 262.63162 262.77562 263.06362 263.27962 263.56762 263.78362 264.07162 264.28762 264.57562 264.79162 265.07962 265.29562 265.58362 265.79962 266.01562 266.30362 266.51962 266.80762 267.02362 267.31162 267.45562 267.74362 267.88762 268.03162 268.24762 268.39162 268.53562 268.75162 268.82362 268.89562 268.96762 269.03962 269.11162 269.11162 269.18362 269.18362 269.18362 @c F 612.69846 612.41046 612.19446 611.90646 611.69046 611.40246 611.18646 611.04246 610.75446 610.53846 610.32246 610.10646 609.96246 609.74646 609.60246 609.45846 609.31446 609.17046 609.09846 609.02646 608.95446 608.95446 608.88246 608.88246 608.88246 608.88246 608.88246 608.95446 608.95446 609.02646 609.09846 609.17046 609.31446 609.45846 609.60246 609.74646 609.96246 610.10646 610.32246 610.53846 610.75446 611.04246 611.18646 611.40246 611.69046 611.90646 612.19446 612.41046 612.69846 612.91446 612.91446 L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L @rax %Note: Object 260.90362 608.88246 269.18362 617.09046 @E 0 J 1 j 0 d 0 R 0 @G 0.00 0.20 0.50 0.00 K [1.00000000 0.00000000 0.00000000 1.00000000 0.00000000 0.00000000] 1 1.49981 1.49981 0.00000 @w /$fm 0 def 269.11162 613.49046 269.11162 613.77846 269.03962 613.99446 268.96762 614.28246 268.89562 614.49846 268.82362 614.78646 268.67962 614.93046 268.53562 615.14646 268.39162 615.43446 268.17562 615.57846 268.03162 615.86646 267.88762 616.01046 267.74362 616.15446 267.45562 616.37046 267.31162 616.51446 267.02362 616.58646 266.80762 616.73046 266.51962 616.87446 266.30362 616.94646 266.01562 617.01846 265.79962 617.01846 265.51162 617.09046 265.29562 617.09046 265.07962 617.09046 264.79162 617.09046 264.57562 617.09046 264.28762 617.01846 264.07162 617.01846 263.78362 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-2 2 -2 2 -3 2 -2 2 -3 1 -3 2 -3 1 -3 1 -3 1 -3 0 -3 1 -3 0 -3 0 -3 0 -3 0 -3 -1 -3 0 -3 -1 -3 -1 -3 -1 -3 -2 -3 -1 -2 -2 -3 -2 -2 -2 -2 -2 -3 -2 -2 -2 -3 -2 -3 -1 -2 -1 -3 -1 -1 -3 -1 -3 0 -3 2509 3277 100 MP stroke -1 -3 0 -4 2510 3284 3 MP stroke c8 1 -3 0 -3 1 -3 1 -3 1 -3 1 -3 1 -2 2 -3 2 -3 2 -2 2 -3 2 -2 2 -2 3 -2 2 -2 3 -1 3 -2 3 -1 3 -1 3 -1 3 0 3 -1 3 0 3 0 3030313031313132 3122322222232223 2312131313130313 0 3 0 4 -1 3 0 3 -1 3 -1 3 -1 3 -1 3 -1 2 -2 3 -2 3 -2 2 -2 3 -2 2 -2 2 -3 2 -2 2 -3 1 -3 2 -3 1 -3 1 -3 1 -3 0 -3 1 -3 0 -3 0 -3 0 -3 0 -3 -1 -3 0 -3 -1 -3 -1 -3 -1 -3 -2 -3 -1 -2 -2 -3 -2 -2 -2 -2 -2 -2 -2 -2 -2 -3 -2 -3 -1 -2 -1 -3 -1 -3 -1 -3 -1 0 -3 -1 -3 0 -4 2862 3284 100 MP 0 -3 1 AP -2 -3 -3 -3 -2 -3 -3 -3 PP c9 0 0 0 -3 1 -3 0 -3 1 -3 1 -3 1 -3 1 -3 1 -2 2 -3 2 -3 2 -2 2 -3 2 -2 2 -2 3 -2 2 -2 3 -1 3 -2 3 -1 3 -1 3 -1 3 0 3 -1 3030303031303131 3132312232222223 2223231213131313 0 3 1 3 0 3 0 4 -1 3 0 3 -1 3 -1 3 -1 3 -1 3 -1 2 -2 3 -2 3 -2 2 -2 3 -2 2 -2 2 -3 2 -2 2 -3 1 -3 2 -3 1 -3 1 -3 1 -3 0 -3 1 -3 0 -3 0 -3 0 -3 0 -3 -1 -3 0 -3 -1 -3 -1 -3 -1 -3 -2 -3 -1 -2 -2 -3 -2 -2 -2 -2 -2 -3 -2 -2 -2 -3 -2 -3 -1 -2 -1 -3 -1 -1 -3 -1 -3 0 -3 2861 3277 100 MP stroke -1 -3 0 -4 2862 3284 3 MP stroke 6w /c10 { 0.400000 0.200000 0.000000 sr} bdef c10 553 352 2611 1876 2 MP stroke 905 -352 2611 1876 2 MP stroke 553 -704 2611 1876 2 MP stroke -855 -1408 2611 1876 2 MP stroke -1207 -704 2611 1876 2 MP stroke -151 1408 2611 1876 2 MP stroke 201 1408 2611 1876 2 MP stroke /c11 { 0.474500 0.647100 0.909800 sr} bdef c11 1 -4 0 -4 1 -4 1 -3 1 -4 2 -3 2 -4 2 -3 2 -3 2 -3 3 -3 2 -3 3 -2 3 -3 3 -2 4 -2 3 -2 4 -1 3 -1 4 -2 4 0 4 -1 3 0 4 0 4040413042413142 3232333233232333 2314231413141404 0 3 0 4 0 4 -1 4 -1 4 -1 3 -1 4 -2 3 -1 4 -2 3 -3 3 -2 3 -2 3 -3 3 -3 2 -3 3 -3 2 -3 2 -4 2 -3 1 -4 1 -4 2 -3 0 -4 1 -4 0 -4 0 -4 0 -3 0 -4 -1 -4 0 -4 -2 -3 -1 -4 -1 -3 -2 -4 -2 -3 -2 -3 -3 -3 -2 -2 -3 -3 -2 -3 -2 -3 -2 -3 -2 -4 -2 -3 -1 -4 -1 -3 -1 0 -4 -1 -4 0 -4 2672 1876 100 MP 0 -3 1 AP PP 18 w /c12 { 0.000000 0.400000 1.000000 sr} bdef c12 0 0 0 -3 1 -4 0 -4 1 -4 1 -3 1 -4 2 -3 2 -4 2 -3 2 -3 2 -3 3 -3 2 -3 3 -2 3 -3 3 -2 4 -2 3 -2 4 -1 3 -1 4 -2 4 0 4 -1 3040404041304241 3142323233323323 2333231423141314 1 4 0 4 0 3 0 4 0 4 -1 4 -1 4 -1 3 -1 4 -2 3 -1 4 -2 3 -3 3 -2 3 -2 3 -3 3 -3 2 -3 3 -3 2 -3 2 -4 2 -3 1 -4 1 -4 2 -3 0 -4 1 -4 0 -4 0 -4 0 -3 0 -4 -1 -4 0 -4 -2 -3 -1 -4 -1 -3 -2 -4 -2 -3 -2 -3 -3 -3 -2 -3 -3 -3 -2 -3 -2 -3 -2 -3 -2 -4 -2 -3 -1 -1 -3 -1 -4 0 -4 2671 1868 100 MP stroke -2 -3 -3 -4 -2 -4 -1 -4 0 -4 2672 1876 3 MP stroke 6w gr c12 end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial Black 448 1509 a Fq(\(b\))p Black 56 w(The)27 b(least-squares)e(cost)j(is)f(9)p Fm(:)p Fq(36.)p Black 448 1631 a(\(c\))p Black 65 w(Supp)r(ose)g(the)h(three)g(w)n(arehouses) d(are)i(at)g(p)r(oin)n(ts)h Fm(x)2264 1643 y Fj(1)2301 1631 y Fm(;)14 b(x)2385 1643 y Fj(2)2423 1631 y Fm(;)g(x)2507 1643 y Fj(3)2568 1631 y Fl(2)23 b Fk(R)2706 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@lly 468 @urx 453 @ury 1436 @rwi @setspecial %%BeginDocument: ../../questions/0550_ls_facility_location/graphics_included/matlab_facloc_trade_off .eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: ./matlab_facloc_trade_off.eps %%CreationDate: 02/08/2005 00:03:37 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 202 148 468 453 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: MathWorks begin bpage %%EndPageSetup 202 148 468 453 %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 1728 5616 csm 701 177 3196 3655 MR c np 127 dict begin %Colortable dictionary /c0 { 0.000000 0.000000 0.000000 sr} bdef /c1 { 1.000000 1.000000 1.000000 sr} bdef /c2 { 0.900000 0.000000 0.000000 sr} bdef /c3 { 0.000000 0.820000 0.000000 sr} bdef /c4 { 0.000000 0.000000 0.800000 sr} bdef /c5 { 0.910000 0.820000 0.320000 sr} bdef /c6 { 1.000000 0.260000 0.820000 sr} bdef /c7 { 0.000000 0.820000 0.820000 sr} bdef c0 1j 1 sg 0 0 4758 3889 PR 6w 0 3168 2640 0 0 -3168 1141 3460 4 MP PP -2640 0 0 3168 2640 0 0 -3168 1141 3460 5 MP stroke 4w DO 0 sg 1141 3460 mt 1141 292 L 1141 292 mt 1141 292 L 1669 3460 mt 1669 292 L 1669 292 mt 1669 292 L 2197 3460 mt 2197 292 L 2197 292 mt 2197 292 L 2725 3460 mt 2725 292 L 2725 292 mt 2725 292 L 3253 3460 mt 3253 292 L 3253 292 mt 3253 292 L 3781 3460 mt 3781 292 L 3781 292 mt 3781 292 L 1141 3460 mt 3781 3460 L 3781 3460 mt 3781 3460 L 1141 2932 mt 3781 2932 L 3781 2932 mt 3781 2932 L 1141 2404 mt 3781 2404 L 3781 2404 mt 3781 2404 L 1141 1876 mt 3781 1876 L 3781 1876 mt 3781 1876 L 1141 1348 mt 3781 1348 L 3781 1348 mt 3781 1348 L 1141 820 mt 3781 820 L 3781 820 mt 3781 820 L 1141 292 mt 3781 292 L 3781 292 mt 3781 292 L SO 6w 1141 3460 mt 3781 3460 L 1141 292 mt 3781 292 L 1141 3460 mt 1141 292 L 3781 3460 mt 3781 292 L 1141 3460 mt 3781 3460 L 1141 3460 mt 1141 292 L 1141 3460 mt 1141 3428 L 1141 292 mt 1141 323 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 1108 3605 (0) s 1669 3460 1669 292 1636 3605 (2) s 2197 3460 2197 292 2164 3605 (4) s 2725 3460 2725 292 2692 3605 (6) s 3253 3460 3253 292 3220 3605 (8) s 3781 3460 3781 292 3715 3605 (10) s 1141 3460 3781 3460 1040 3504 (0) s 1141 2932 3781 2932 1040 2976 (2) s 1141 2404 3781 2404 1040 2448 (4) s 1141 1876 3781 1876 1040 1920 (6) s 1141 1348 3781 1348 1040 1392 (8) s 1141 820 3781 820 973 864 (10) s 1141 292 mt mt 1669 3428 L mt 1669 323 L mt mt 2197 3428 L mt 2197 323 L mt mt 2725 3428 L mt 2725 323 L mt mt 3253 3428 L mt 3253 323 L mt mt 3781 3428 L mt 3781 323 L mt mt 1173 3460 L mt 3749 3460 L mt mt 1173 2932 L mt 3749 2932 L mt mt 1173 2404 L mt 3749 2404 L mt mt 1173 1876 L mt 3749 1876 L mt mt 1173 1348 L mt 3749 1348 L 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5757565767575757 6757576757576757 6757685767576857 6758675867685768 5768675868675868 6768586768586868 6758686868586868 6758686868586868 6858686868586868 5868685868685868 5868685868586858 6858685868585868 5 8 5 7 6 8 2410 1876 100 MP stroke 5858586858575858 5867585857585847 5858575857485758 5748574758475748 5747574747485747 4747474747464747 4747464737464747 3647364736463746 3637463636363636 3636363636363635 3636253636253625 3625352635252635 2 5 2 5 2 5 2032 1216 100 MP stroke 3525252525252525 2425252524152425 2415242514242514 2414251424141424 1414241413241414 1314142314141314 1313141314131313 0413131313130313 1313130313130313 1302131302130312 1303120312031202 1302130212051202 1 2 0 3 1 2 1921 867 100 MP stroke 0412041204120412 0412051205120512 0612061107120612 0 9 1 1 0 9 1 1 0 11 1 1 0 13 1 1 0 16 1 1 0 15 1904 706 36 MP stroke 30 w gr 30 w c8 /c9 { 1.000000 0.600000 0.000000 sr} bdef c9 2129 1456 mt 2229 1556 L 2229 1456 mt 2129 1556 L gs 1141 292 2641 3169 MR c np gr 0 sg 2353 3726 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(eac)n(h)f(of)h(the)g(w)n(arehouses)e(is)h(at)614 2585 y(the)f(least-squares)d(solution)i(\(the)i(cen)n(troid\))e(of)g(the)i (w)n(arehouses)c(they)j(serv)n(e.)35 b(This)24 b(giv)n(es)g(the)614 2685 y(solution)1351 4296 y @beginspecial 232 @llx 167 @lly 455 @urx 447 @ury 1436 @rwi @setspecial %%BeginDocument: ../../questions/0550_ls_facility_location/graphics_included/matlab_facloc_extremal. eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: ./matlab_facloc_extremal.eps %%CreationDate: 02/08/2005 00:24:59 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 232 167 455 447 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: MathWorks begin bpage %%EndPageSetup 232 167 455 447 %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 1728 5616 csm 1058 243 2685 3363 MR c np 130 dict begin %Colortable dictionary /c0 { 0.000000 0.000000 0.000000 sr} bdef /c1 { 1.000000 1.000000 1.000000 sr} bdef /c2 { 0.900000 0.000000 0.000000 sr} bdef /c3 { 0.000000 0.820000 0.000000 sr} bdef /c4 { 0.000000 0.000000 0.800000 sr} bdef /c5 { 0.910000 0.820000 0.320000 sr} bdef /c6 { 1.000000 0.260000 0.820000 sr} bdef /c7 { 0.000000 0.820000 0.820000 sr} bdef c0 1j 1 sg 0 0 4758 3889 PR 6w 0 3169 2464 0 0 -3169 1229 3460 4 MP PP -2464 0 0 3169 2464 0 0 -3169 1229 3460 5 MP stroke 4w DO 0 sg 1405 3460 mt 1405 291 L 1405 291 mt 1405 291 L 1757 3460 mt 1757 291 L 1757 291 mt 1757 291 L 2109 3460 mt 2109 291 L 2109 291 mt 2109 291 L 2461 3460 mt 2461 291 L 2461 291 mt 2461 291 L 2813 3460 mt 2813 291 L 2813 291 mt 2813 291 L 3165 3460 mt 3165 291 L 3165 291 mt 3165 291 L 3517 3460 mt 3517 291 L 3517 291 mt 3517 291 L 1229 3284 mt 3693 3284 L 3693 3284 mt 3693 3284 L 1229 2932 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1 -3 2 -3 1 -3 1 -3 1 -3 0 -3 1 -3 0 -3 0 -3 0 -3 0 -3 -1 -3 0 -3 -1 -3 -1 -3 -1 -3 -2 -3 -1 -2 -2 -3 -2 -2 -2 -2 -2 -2 -3 -2 -2 -2 -3 -2 -3 -1 -2 -1 -3 -1 -3 -1 -3 -1 -3 0 -3 -1 -3 0 -4 2863 3284 100 MP 0 -3 1 AP PP c9 0 0 0 -3 1 -3 0 -3 1 -3 1 -3 1 -3 1 -3 1 -2 2 -3 2 -3 2 -2 2 -3 2 -2 2 -2 3 -2 2 -2 3 -1 3 -2 3 -1 3 -1 3 -1 3 0 3 -1 3030303031303131 3132312232222223 2223231213131313 0 3 1 3 0 3 0 4 -1 3 0 3 -1 3 -1 3 -1 3 -1 3 -1 2 -2 3 -2 3 -2 2 -2 3 -2 2 -2 2 -3 2 -2 2 -3 1 -3 2 -3 1 -3 1 -3 1 -3 0 -3 1 -3 0 -3 0 -3 0 -3 0 -3 -1 -3 0 -3 -1 -3 -1 -3 -1 -3 -2 -3 -1 -2 -2 -3 -2 -2 -2 -2 -2 -2 -3 -2 -2 -2 -3 -2 -3 -1 -2 -1 -3 -1 -3 -1 -3 -1 -3 0 -3 2862 3277 100 MP stroke -1 -3 0 -4 2863 3284 3 MP stroke /c10 { 0.474500 0.647100 0.909800 sr} bdef c10 0 -4 1 -4 0 -4 1 -3 2 -4 1 -3 2 -4 2 -3 2 -3 2 -3 3 -3 3 -3 3 -3 3 -2 3 -2 3 -2 3 -2 4 -1 4 -2 3 -1 4 0 4 -1 4 0 3 -1 4140414031423142 3232323333233323 2324131413141404 0 3 0 4 0 4 -1 4 -1 4 -1 3 -1 4 -1 3 -2 4 -2 3 -2 3 -3 3 -2 3 -3 3 -3 2 -3 3 -3 2 -3 2 -4 2 -3 1 -4 1 -3 2 -4 0 -4 1 -4 0 -4 0 -3 0 -4 0 -4 -1 -4 0 -3 -2 -4 -1 -4 -1 -3 -2 -3 -2 -3 -2 -3 -3 -3 -2 -3 -3 -3 -3 -2 -3 -2 -3 -2 -3 -2 -4 -1 -3 -2 -4 -1 -3 0 -4 -1 -4 0 -4 -1 -4 3336 1644 100 MP 1 -3 1 AP PP /c11 { 0.000000 0.400000 1.000000 sr} bdef c11 0 0 1 -3 0 -4 1 -4 0 -4 1 -3 2 -4 1 -3 2 -4 2 -3 2 -3 2 -3 3 -3 3 -3 3 -3 3 -2 3 -2 3 -2 3 -2 4 -1 4 -2 3 -1 4 0 4 -1 4 0 3 -1 4 1 4 0 4 1 4 0 3 1 4 2 3142323232333323 3323232413141314 1 4 0 4 0 3 0 4 0 4 -1 4 -1 4 -1 3 -1 4 -1 3 -2 4 -2 3 -2 3 -3 3 -2 3 -3 3 -3 2 -3 3 -3 2 -3 2 -4 2 -3 1 -4 1 -3 2 -4 0 -4 1 -4 0 -4 0 -3 0 -4 0 -4 -1 -4 0 -3 -2 -4 -1 -4 -1 -3 -2 -3 -2 -3 -2 -3 -3 -3 -2 -3 -3 -3 -3 -2 -3 -2 -3 -2 -3 -2 -4 -1 -3 -2 -4 -1 -3 0 -4 -1 -4 3335 1636 100 MP stroke 0 -4 -1 -4 3336 1644 3 MP stroke c10 0 -3 1 -4 0 -4 1 -4 2 -3 1 -4 2 -3 2 -3 2 -4 2 -3 3 -2 3 -3 3 -3 3 -2 3 -2 3 -2 3 -2 4 -1 4 -2 3 -1 4 -1 4 0 4 -1 3 0 4041404131423142 3232323333223324 2323141314141403 0 4 0 4 0 4 -1 4 -1 3 -1 4 -1 4 -1 3 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-2 4 -2 3 -3 2 -2 3 -3 3 -3 2 -3 2 -4 2 -3 2 -4 1 -3 2 -4 1 -4 1 -3 0 -4 1 -4 0 -4 0 -4 -1 -3 0 -4 -1 -4 -1 -3 -2 -4 -1 -3 -2 -4 -2 -3 -2 -3 -2 -3 -3 -2 -3 -3 -2 -2 -3 -2 -4 -2 -3 -2 -3 -2 -4 -1 -3 -1 -4 -1 -4 0 -4 -1 -3 0 -4 2696 3263 100 MP 0 -4 1 AP PP c11 0 0 0 -4 1 -4 0 -4 1 -3 1 -4 1 -4 2 -3 2 -4 2 -3 2 -3 2 -3 3 -3 2 -3 3 -2 3 -3 3 -2 4 -2 3 -1 4 -2 3 -1 4 -1 4 -1 3 -1 4040404031414131 4231423233322333 2323232423141413 0 4 1 4 0 4 0 4 -1 3 0 4 -1 4 -1 4 -1 3 -2 4 -2 3 -2 3 -2 4 -2 3 -3 2 -2 3 -3 3 -3 2 -3 2 -4 2 -3 2 -4 1 -3 2 -4 1 -4 1 -3 0 -4 1 -4 0 -4 0 -4 -1 -3 0 -4 -1 -4 -1 -3 -2 -4 -1 -3 -2 -4 -2 -3 -2 -3 -2 -3 -3 -2 -3 -3 -2 -2 -3 -2 -4 -2 -3 -2 -3 -2 -4 -1 -3 -1 -4 -1 -4 0 -4 2695 3256 100 MP stroke -1 -3 0 -4 2696 3263 3 MP stroke 6w /c12 { 0.400000 0.200000 0.000000 sr} bdef c12 -110 584 3275 1644 2 MP stroke 242 -121 3275 1644 2 MP stroke -110 -473 3275 1644 2 MP stroke 162 -369 1595 836 2 MP stroke -190 335 1595 836 2 MP stroke -174 21 2635 3263 2 MP stroke 178 21 2635 3263 2 MP stroke -1680 -808 3275 1644 2 MP stroke 1040 2427 1595 836 2 MP stroke 640 -1619 2635 3263 2 MP stroke gr c12 end %%Color Dict eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial Black 448 4429 a(\(e\))p Black 65 w(The)29 b(b)r(est)h Fm(\026)f Fq(is)g Fm(\026)d Fq(=)g(0)p Fm(:)p Fq(305,)i(and)h(this)h(p)r(oin)n(t)f(is)g(sho)n(wn)g(on)g(the)h (trade-o\013)e(curv)n(e)g(ab)r(o)n(v)n(e.)41 b(The)614 4528 y(w)n(arehouse)25 b(lo)r(cations)i(are)g(b)r(elo)n(w.)p Black 1929 5764 a(6)p Black eop end %%Page: 7 7 TeXDict begin 7 6 bop Black 240 -364 a Fq(EE263)2411 b Fp(S.)26 b(Lall)103 b(2011.05.20.02)p Black 1351 1375 a @beginspecial 232 @llx 167 @lly 455 @urx 447 @ury 1436 @rwi @setspecial %%BeginDocument: ../../questions/0550_ls_facility_location/graphics_included/matlab_facloc_next_day. eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: ./matlab_facloc_next_day.eps %%CreationDate: 02/08/2005 00:28:42 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 232 167 455 447 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: MathWorks begin bpage %%EndPageSetup 232 167 455 447 %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 1728 5616 csm 1058 243 2685 3363 MR c np 130 dict begin %Colortable dictionary /c0 { 0.000000 0.000000 0.000000 sr} bdef /c1 { 1.000000 1.000000 1.000000 sr} bdef /c2 { 0.900000 0.000000 0.000000 sr} bdef /c3 { 0.000000 0.820000 0.000000 sr} bdef /c4 { 0.000000 0.000000 0.800000 sr} bdef /c5 { 0.910000 0.820000 0.320000 sr} bdef /c6 { 1.000000 0.260000 0.820000 sr} bdef /c7 { 0.000000 0.820000 0.820000 sr} bdef c0 1j 1 sg 0 0 4758 3889 PR 6w 0 3169 2464 0 0 -3169 1229 3460 4 MP PP -2464 0 0 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scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } 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0 0 sr} bdef 1 1 sr} bdef 0 0 sr} bdef 433 /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1j 1 sg 0 0 5188 3457 PR 6w 0 2817 4020 0 0 -2817 674 3076 4 MP PP -4020 0 0 2817 4020 0 0 -2817 674 3076 5 MP stroke 4w DO 0 sg 674 3076 mt 674 259 L 674 259 mt 674 259 L 1176 3076 mt 1176 259 L 1176 259 mt 1176 259 L 1679 3076 mt 1679 259 L 1679 259 mt 1679 259 L 2181 3076 mt 2181 259 L 2181 259 mt 2181 259 L 2684 3076 mt 2684 259 L 2684 259 mt 2684 259 L 3186 3076 mt 3186 259 L 3186 259 mt 3186 259 L 3689 3076 mt 3689 259 L 3689 259 mt 3689 259 L 4191 3076 mt 4191 259 L 4191 259 mt 4191 259 L 4694 3076 mt 4694 259 L 4694 259 mt 4694 259 L 674 3076 mt 4694 3076 L 4694 3076 mt 4694 3076 L 674 2673 mt 4694 2673 L 4694 2673 mt 4694 2673 L 674 2271 mt 4694 2271 L 4694 2271 mt 4694 2271 L 674 1868 mt 4694 1868 L 4694 1868 mt 4694 1868 L 674 1466 mt 4694 1466 L 4694 1466 mt 4694 1466 L 674 1063 mt 4694 1063 L 4694 1063 mt 4694 1063 L 674 661 mt 4694 661 L 4694 661 mt 4694 661 L 674 259 mt 4694 259 L 4694 259 mt 4694 259 L SO 6w 674 3076 mt 4694 3076 L 674 3076 mt 674 259 L 674 3076 mt 674 3035 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 538 3221 mt (-20) s 1176 3076 mt 1176 3035 L 1040 3221 mt (-15) s 1679 3076 mt 1679 3035 L 1543 3221 mt (-10) s 2181 3076 mt 2181 3035 L 2078 3221 mt (-5) s 2684 3076 mt 2684 3035 L 2651 3221 mt (0) s 3186 3076 mt 3186 3035 L 3153 3221 mt (5) s 3689 3076 mt 3689 3035 L 3623 3221 mt (10) s 4191 3076 mt 4191 3035 L 4125 3221 mt (15) s 4694 3076 mt 4694 3035 L 4628 3221 mt (20) s 674 3076 mt 714 3076 L 573 3120 mt (0) s 674 2673 mt 714 2673 L 406 2717 mt (0.01) s 674 2271 mt 714 2271 L 406 2315 mt (0.02) s 674 1868 mt 714 1868 L 406 1912 mt (0.03) s 674 1466 mt 714 1466 L 406 1510 mt (0.04) s 674 1063 mt 714 1063 L 406 1107 mt (0.05) s 674 661 mt 714 661 L 406 705 mt (0.06) s 674 259 mt 714 259 L 406 303 mt (0.07) s gs 674 259 4021 2818 MR c np /c8 { 0.000000 0.400000 1.000000 sr} bdef c8 101 7 100 12 101 19 100 28 101 41 100 58 101 81 100 106 101 136 100 169 101 202 100 231 101 255 100 268 101 269 100 251 101 219 100 170 101 108 100 37 101 -37 100 -108 101 -170 100 -219 101 -251 100 -269 101 -268 100 -255 101 -231 100 -202 101 -169 100 -136 101 -106 100 -81 101 -58 100 -41 101 -28 100 -19 101 -12 100 -7 674 3065 41 MP stroke gr c8 24 W 674 3065 PD 24 W 774 3058 PD 24 W 875 3046 PD 24 W 975 3027 PD 24 W 1076 2999 PD 24 W 1176 2958 PD 24 W 1277 2900 PD 24 W 1377 2819 PD 24 W 1478 2713 PD 24 W 1578 2577 PD 24 W 1679 2408 PD 24 W 1779 2206 PD 24 W 1880 1975 PD 24 W 1980 1720 PD 24 W 2081 1452 PD 24 W 2181 1183 PD 24 W 2282 932 PD 24 W 2382 713 PD 24 W 2483 543 PD 24 W 2583 435 PD 24 W 2684 398 PD 24 W 2784 435 PD 24 W 2885 543 PD 24 W 2985 713 PD 24 W 3086 932 PD 24 W 3186 1183 PD 24 W 3287 1452 PD 24 W 3387 1720 PD 24 W 3488 1975 PD 24 W 3588 2206 PD 24 W 3689 2408 PD 24 W 3789 2577 PD 24 W 3890 2713 PD 24 W 3990 2819 PD 24 W 4091 2900 PD 24 W 4191 2958 PD 24 W 4292 2999 PD 24 W 4392 3027 PD 24 W 4493 3046 PD 24 W 4593 3058 PD 24 W 4694 3065 PD gs 674 259 4021 2818 MR c np gr 0 sg 2068 164 mt (convolution coefficients) s 2653 3364 mt (k) s 270 1722 mt -90 rotate (c) s 90 rotate %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 96 FMSR 330 1662 mt (k) s 90 rotate -90 rotate end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial Black 448 1701 a(\(b\))p Black 56 w(The)h(input)i(and)e (the)h(resp)r(onse)f(are)f(b)r(elo)n(w.)924 3363 y @beginspecial 183 @llx 161 @lly 547 @urx 433 @ury 2462 @rwi @setspecial %%BeginDocument: ../../questions/0410_svd_truncated_regularization/graphics_included/sigpro_square_r esp.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: sigpro_square_resp.eps %%CreationDate: 02/08/2003 17:13:51 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 183 161 547 433 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: MathWorks begin bpage %%EndPageSetup 183 161 547 %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 1728 5184 csm 473 -20 4370 3269 MR c np 93 dict begin %Colortable dictionary 433 /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1j 1 sg 0 0 5188 3457 PR 6w 0 2817 4020 0 0 -2817 674 3076 4 MP PP -4020 0 0 2817 4020 0 0 -2817 674 3076 5 MP stroke 4w DO 0 sg 674 3076 mt 674 259 L 674 259 mt 674 259 L 1076 3076 mt 1076 259 L 1076 259 mt 1076 259 L 1478 3076 mt 1478 259 L 1478 259 mt 1478 259 L 1880 3076 mt 1880 259 L 1880 259 mt 1880 259 L 2282 3076 mt 2282 259 L 2282 259 mt 2282 259 L 2684 3076 mt 2684 259 L 2684 259 mt 2684 259 L 3086 3076 mt 3086 259 L 3086 259 mt 3086 259 L 3488 3076 mt 3488 259 L 3488 259 mt 3488 259 L 3890 3076 mt 3890 259 L 3890 259 mt 3890 259 L 4292 3076 mt 4292 259 L 4292 259 mt 4292 259 L 4694 3076 mt 4694 259 L 4694 259 mt 4694 259 L 674 3076 mt 4694 3076 L 4694 3076 mt 4694 3076 L 674 2673 mt 4694 2673 L 4694 2673 mt 4694 2673 L 674 2271 mt 4694 2271 L 4694 2271 mt 4694 2271 L 674 1868 mt 4694 1868 L 4694 1868 mt 4694 1868 L 674 1466 mt 4694 1466 L 4694 1466 mt 4694 1466 L 674 1063 mt 4694 1063 L 4694 1063 mt 4694 1063 L 674 661 mt 4694 661 L 4694 661 mt 4694 661 L 674 259 mt 4694 259 L 4694 259 mt 4694 259 L SO 6w 674 3076 mt 4694 3076 L 674 3076 mt 674 259 L 674 3076 mt 674 3035 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 641 3221 (0) s 1076 3076 1010 3221 (20) s 1478 3076 1412 3221 (40) s 1880 3076 1814 3221 (60) s 2282 3076 2216 3221 (80) s 2684 3076 2584 3221 (100) s 3086 3076 2986 3221 (120) s 3488 3076 3388 3221 (140) s 3890 3076 3790 3221 (160) s 4292 3076 4192 3221 (180) s 4694 3076 4594 3221 (200) s 674 3076 573 3120 (0) s 674 2673 473 2717 (0.2) s 674 2271 473 2315 (0.4) s 674 1868 473 1912 (0.6) s 674 1466 473 1510 (0.8) s 674 1063 573 1107 (1) s 674 661 473 705 (1.2) s mt mt 1076 3035 L mt mt 1478 3035 L mt mt 1880 3035 L mt mt 2282 3035 L mt mt 2684 3035 L mt mt 3086 3035 L mt mt 3488 3035 L mt mt 3890 3035 L mt mt 4292 3035 L mt mt 4694 3035 L mt mt mt 714 3076 L mt mt 714 2673 L mt mt 714 2271 L mt mt 714 1868 L mt mt 714 1466 L mt mt 714 1063 L mt mt 714 661 L 674 259 mt 714 259 L 473 303 mt (1.4) s gs 674 259 4021 2818 MR c np /c8 { 0.000000 0.400000 1.000000 sr} bdef c8 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 1 21 1 20 1 20 3 20 4 20 6 20 8 20 13 20 18 20 25 20 34 21 43 20 55 20 68 20 81 20 95 20 107 20 118 20 127 20 132 20 134 21 132 20 126 20 118 20 108 20 94 20 81 20 68 20 55 20 44 20 33 21 25 20 18 20 13 20 9 20 6 20 3 20 3 20 1 20 1 20 1 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 2704 1063 100 MP stroke 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 -1 20 -1 20 -1 20 -3 20 -3 20 -6 20 -9 20 -13 20 -18 20 -25 21 -33 20 -44 20 -55 20 -68 20 -81 20 -94 20 -108 20 -118 20 -126 20 -132 21 -134 20 -132 20 -127 20 -118 20 -107 20 -95 20 -81 20 -68 20 -55 20 -43 21 -34 20 -25 20 -18 20 -13 20 -8 20 -6 20 -4 20 -3 20 -1 20 -1 21 -1 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 714 3076 100 MP stroke 20 0 694 3076 2 MP stroke /c9 { 1.000000 0.600000 0.000000 sr} bdef c9 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 2013 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 2704 1063 100 MP stroke 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 -2013 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 21 0 20 0 20 0 20 0 20 0 20 0 20 0 20 0 714 3076 100 MP stroke 20 0 694 3076 2 MP stroke gr c9 0 sg 1966 164 mt (square pulse and response) s end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial Black 448 3496 a(\(c\))p Black 65 w(The)18 b(singular)g(v)-5 b(alues)18 b(are)f(b)r(elo)n(w.)34 b(Note)18 b(that)h(they)g(deca)n(y)f(v)n(ery)f(fast,)k(and)d(some)g (are)g(extremely)614 3596 y(small.)36 b(A)28 b(log)f(plot)g(is)h(also)e (sho)n(wn.)377 5399 y @beginspecial 169 @llx 169 @lly 449 @urx 500 @ury 1805 @rwi @setspecial %%BeginDocument: ../../questions/0410_svd_truncated_regularization/graphics_included/sigpro_sing_val s.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: sigpro_sing_vals.eps %%CreationDate: 02/08/2003 17:13:51 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 169 169 449 500 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 00 /FO /PO /PD 1 0 360 arc tMatrix setmatrix} bdef {MakeOval stroke} bdef {MakeOval fill} bdef {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: MathWorks begin bpage %%EndPageSetup 169 169 449 500 %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 1728 6048 csm 305 45 3364 3974 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1j 1 sg 0 0 3891 4322 PR 6w 0 3522 3014 0 0 -3522 506 3846 4 MP PP -3014 0 0 3522 3014 0 0 -3522 506 3846 5 MP stroke 4w DO 0 sg 506 3846 mt 506 324 L 506 324 mt 506 324 L 1259 3846 mt 1259 324 L 1259 324 mt 1259 324 L 2013 3846 mt 2013 324 L 2013 324 mt 2013 324 L 2766 3846 mt 2766 324 L 2766 324 mt 2766 324 L 3520 3846 mt 3520 324 L 3520 324 mt 3520 324 L 506 3846 mt 3520 3846 L 3520 3846 mt 3520 3846 L 506 3493 mt 3520 3493 L 3520 3493 mt 3520 3493 L 506 3141 mt 3520 3141 L 3520 3141 mt 3520 3141 L 506 2789 mt 3520 2789 L 3520 2789 mt 3520 2789 L 506 2437 mt 3520 2437 L 3520 2437 mt 3520 2437 L 506 2085 mt 3520 2085 L 3520 2085 mt 3520 2085 L 506 1732 mt 3520 1732 L 3520 1732 mt 3520 1732 L 506 1380 mt 3520 1380 L 3520 1380 mt 3520 1380 L 506 1028 mt 3520 1028 L 3520 1028 mt 3520 1028 L 506 676 mt 3520 676 L 3520 676 mt 3520 676 L 506 324 mt 3520 324 L 3520 324 mt 3520 324 L SO 6w 506 3846 mt 3520 3846 L 506 3846 mt 506 324 L 506 3846 mt 506 3810 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 473 3991 (0) s 1259 3846 1193 3991 (50) s 2013 3846 1913 3991 (100) s 2766 3846 2666 3991 (150) s 3520 3846 3420 3991 (200) s 506 3846 405 3890 (0) s 506 3493 305 3537 (0.1) s 506 3141 305 3185 (0.2) s 506 2789 305 2833 (0.3) s 506 2437 305 2481 (0.4) s 506 2085 mt mt 1259 3810 L mt mt 2013 3810 L mt mt 2766 3810 L mt mt 3520 3810 L mt mt mt 541 3846 L mt mt 541 3493 L mt mt 541 3141 L mt mt 541 2789 L mt mt 541 2437 L mt 541 2085 L 305 2129 mt (0.5) s 506 1732 mt 541 1732 L 305 1776 mt (0.6) s 506 1380 mt 541 1380 L 305 1424 mt (0.7) s 506 1028 mt 541 1028 L 305 1072 mt (0.8) s 506 676 mt 541 676 L 305 720 mt (0.9) s 506 324 mt 541 324 L 405 368 mt (1) s gs 506 324 3015 3523 MR c np /c8 { 0.000000 0.400000 1.000000 sr} bdef c8 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 2028 3845 100 MP stroke 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 1 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 1 15 1 15 1 15 1 15 3 15 4 15 4 15 7 15 8 15 10 15 13 15 16 15 19 15 16 29 15 36 15 42 15 50 15 59 15 70 15 80 15 104 15 117 15 131 15 143 15 156 15 168 15 191 15 194 15 194 15 190 15 184 15 173 15 120 15 96 15 71 536 381 100 MP stroke 15 43 521 338 2 MP stroke gr c8 0 sg 1616 229 mt (singular values) s end eplot %%EndObject 24 15 92 16 177 15 185 15 158 15 141 epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 1641 w @beginspecial 166 @llx 169 @lly 449 @urx 500 @ury 1805 @rwi @setspecial %%BeginDocument: ../../questions/0410_svd_truncated_regularization/graphics_included/sigpro_log_sing _vals.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: sigpro_log_sing_vals.eps %%CreationDate: 02/08/2003 17:13:51 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 166 169 449 500 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: MathWorks begin bpage 166 169 449 500 %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 1728 6048 csm 268 45 3401 3974 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1j 1 sg 0 0 3891 4322 PR 6w 0 3522 3014 0 0 -3522 506 3846 4 MP PP -3014 0 0 3522 3014 0 0 -3522 506 3846 5 MP stroke 4w DO 0 sg 506 3846 mt 506 324 L 506 324 mt 506 324 L 1259 3846 mt 1259 324 L 1259 324 mt 1259 324 L 2013 3846 mt 2013 324 L 2013 324 mt 2013 324 L 2766 3846 mt 2766 324 L 2766 324 mt 2766 324 L 3520 3846 mt 3520 324 L 3520 324 mt 3520 324 L 506 3846 mt 3520 3846 L 3520 3846 mt 3520 3846 L 506 3259 mt 3520 3259 L 3520 3259 mt 3520 3259 L 506 2672 mt 3520 2672 L 3520 2672 mt 3520 2672 L 506 2085 mt 3520 2085 L 3520 2085 mt 3520 2085 L 506 1498 mt 3520 1498 L 3520 1498 mt 3520 1498 L 506 911 mt 3520 911 L 3520 911 mt 3520 911 L 506 324 mt 3520 324 L 3520 324 mt 3520 324 L SO 6w 506 3846 mt 3520 3846 L 506 3846 mt 506 324 L 506 3846 mt 506 3810 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 473 3991 mt (0) s 1259 3846 mt 1259 3810 L 1193 3991 mt (50) s 2013 3846 mt 2013 3810 L 1913 3991 mt (100) s 2766 3846 mt 2766 3810 L 2666 3991 mt (150) s 3520 3846 mt 3520 3810 L 3420 3991 mt (200) s 506 3846 mt 541 3846 L 268 3890 mt (-30) s 506 3259 mt 541 3259 L 268 3303 mt (-25) s 506 2672 mt 541 2672 L 268 2716 mt (-20) s 506 2085 mt 541 2085 L 268 2129 mt (-15) s 506 1498 mt 541 1498 L 268 1542 mt (-10) s 506 911 mt 541 911 L 335 955 mt (-5) s 506 324 mt 541 324 L 405 368 mt (0) s gs 506 324 3015 3523 MR c np /c8 { 0.000000 0.400000 1.000000 sr} bdef c8 16 663 15 264 15 250 15 561 15 168 15 38 15 197 15 15 15 0 15 2 15 0 15 3 15 1 15 4 16 0 15 8 15 2 15 5 15 1 15 13 15 4 15 6 15 6 15 37 15 0 15 3 15 3 15 8 16 1 15 2 15 9 15 7 15 0 15 2 15 0 15 2 15 2 15 0 15 0 15 3 15 2 15 3 16 3 15 3 15 6 15 1 15 1 15 9 15 2 15 1 15 1 15 2 15 0 15 3 15 1 15 4 15 0 16 2 15 1 15 0 15 2 15 1 15 0 15 1 15 1 15 2 15 1 15 0 15 3 15 1 15 3 16 2 15 4 15 1 15 3 15 0 15 3 15 0 15 0 15 1 15 0 15 1 15 0 15 2 15 0 16 2 15 1 15 0 15 2 15 1 15 1 15 1 15 3 15 0 15 0 15 1 15 0 15 0 15 1 2028 1335 100 MP stroke 15 0 16 1 15 0 15 2 15 1 15 0 15 0 15 2 15 1 15 0 15 1 15 2 15 0 15 0 15 0 16 1 15 4 15 0 15 0 15 3 15 2 15 0 15 0 15 1 15 2 15 0 15 3 15 0 15 1 16 1 15 4 15 0 15 1 15 0 15 8 15 0 15 1 15 0 15 7 15 1 15 1 15 3 15 5 16 0 15 4 15 0 15 0 15 7 15 15 15 16 15 15 15 15 gr 1 15 11 15 0 15 10 15 19 15 10 15 2 15 1 2 15 6 16 20 15 31 15 38 15 42 15 41 15 41 39 15 37 15 35 15 34 15 31 15 31 15 29 15 28 26 15 26 15 25 15 24 15 23 15 23 15 21 15 21 20 15 18 15 18 15 17 15 16 15 15 16 14 15 14 12 15 11 15 10 15 9 15 9 15 7 15 6 15 5 5 15 3 15 3 536 325 100 MP stroke 1 521 324 2 MP stroke c8 0 sg 1520 229 mt (log singular values) s end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial Black 1908 5764 a(10)p Black eop end %%Page: 11 11 TeXDict begin 11 10 bop Black 240 -364 a Fq(EE263)2411 b Fp(S.)26 b(Lall)103 b(2011.05.20.02)p Black 614 -45 a Fq(In)28 b(particular,)f(this)h(sho)n(ws)f(that)h(this)g(estimation)g (problem)g(will)g(b)r(e)g(extremely)g(sensitiv)n(e)f(to)614 55 y(noise)f(and)h(n)n(umerical)g(errors)e(in)i(the)h(measuremen)n(t,)f (since)g(the)g(condition)g(n)n(um)n(b)r(er)g(is)g(large.)p Black 448 188 a(\(d\))p Black 56 w(The)g(\014rst)h(six)f(singular)f(v)n (ectors)g(are)h(b)r(elo)n(w.)411 2581 y @beginspecial 181 @llx 169 @lly 612 @urx 486 @ury 3693 @rwi @setspecial %%BeginDocument: ../../questions/0410_svd_truncated_regularization/graphics_included/sigpro_sing_vec s.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: sigpro_sing_vecs.eps %%CreationDate: 02/08/2003 17:13:52 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 181 169 612 486 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: MathWorks begin bpage %%EndPageSetup 181 169 612 486 %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 1728 6048 csm 449 209 5177 3810 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1j 1 sg 0 0 6053 4322 PR 6w 0 967 1979 0 0 -967 787 1291 4 MP PP -1979 0 0 967 1979 0 0 -967 787 1291 5 MP stroke 4w DO 0 sg 787 1291 mt 787 324 L 787 324 mt 787 324 L 1281 1291 mt 1281 324 L 1281 324 mt 1281 324 L 1776 1291 mt 1776 324 L 1776 324 mt 1776 324 L 2271 1291 mt 2271 324 L 2271 324 mt 2271 324 L 2766 1291 mt 2766 324 L 2766 324 mt 2766 324 L 787 1291 mt 2766 1291 L 2766 1291 mt 2766 1291 L 787 807 mt 2766 807 L 2766 807 mt 2766 807 L 787 324 mt 2766 324 L 2766 324 mt 2766 324 L SO 6w 787 1291 mt 2766 1291 L 787 324 mt 2766 324 L 787 1291 mt 787 324 L 2766 1291 mt 2766 324 L 787 1291 mt 2766 1291 L 787 1291 mt 787 324 L 787 1291 mt 787 1271 L 787 324 mt 787 343 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 754 1436 (0) s 1281 1291 1281 324 1215 1436 (50) s 1776 1291 1776 324 1676 1436 (100) s 2271 1291 2271 324 2171 1436 (150) s 2766 1291 2766 324 2666 1436 (200) s 787 1291 2766 1291 516 1335 (-0.1) s 787 807 2766 807 449 851 (-0.05) s 787 324 2766 324 686 368 (0) s 787 1291 mt mt 1281 1271 L mt 1281 343 L mt mt 1776 1271 L mt 1776 343 L mt mt 2271 1271 L mt 2271 343 L mt mt 2766 1271 L mt 2766 343 L mt mt 806 1291 L mt 2746 1291 L mt mt 806 mt 2746 mt 807 L 807 L mt 806 mt 2746 mt 324 L 324 L mt 2766 1291 L 787 324 mt 2766 324 787 1291 mt 787 324 2766 1291 mt 2766 324 gs 787 324 1980 968 MR gr L L L c np 24 W /c8 { 0.000000 0.400000 1.000000 sr} bdef c8 796 390 PD 24 W 806 401 PD 24 W 816 414 PD 24 W 826 426 PD 24 W 836 440 PD 24 W 846 453 PD 24 W 856 467 PD 24 W 866 481 PD 24 W 876 495 PD 24 W 885 510 PD 24 W 895 524 PD 24 W 905 538 PD 24 W 915 552 PD 24 W 925 566 PD 24 W 935 580 PD 24 W 945 594 PD 24 W 955 607 PD 24 W 965 621 PD 24 W 975 635 PD 24 W 984 648 PD 24 W 994 662 PD 24 W 1004 675 PD 24 W 1014 689 PD 24 W 1024 702 PD 24 W 1034 715 PD 24 W 1044 24 W 1054 24 W 1064 24 W 1073 24 W 1083 24 W 1093 24 W 1103 24 W 1113 24 W 1123 24 W 1133 24 W 1143 24 W 1153 24 W 1163 24 W 1172 24 W 1182 24 W 1192 24 W 1202 24 W 1212 24 W 1222 24 W 1232 24 W 1242 24 W 1252 24 W 1261 24 W 1271 24 W 1281 24 W 1291 24 W 1301 24 W 1311 24 W 1321 24 W 1331 728 PD 741 PD 754 PD 767 PD 780 PD 792 PD 805 PD 817 PD 830 PD 842 PD 854 PD 866 PD 877 PD 889 PD 901 PD 912 PD 923 PD 934 PD 945 PD 956 PD 967 PD 977 PD 988 PD 998 PD 1008 PD 1018 PD 1028 PD 1038 PD 1047 PD 1056 PD 24 W 1341 24 W 1351 24 W 1360 24 W 1370 24 W 1380 24 W 1390 24 W 1400 24 W 1410 24 W 1420 24 W 1430 24 W 1440 24 W 1449 24 W 1459 24 W 1469 24 W 1479 24 W 1489 24 W 1499 24 W 1509 24 W 1519 24 W 1529 24 W 1539 24 W 1548 24 W 1558 24 W 1568 24 W 1578 24 W 1588 24 W 1598 24 W 1608 24 W 1618 24 W 1065 PD 1074 PD 1083 PD 1092 PD 1100 PD 1108 PD 1116 PD 1124 PD 1132 PD 1139 PD 1147 PD 1154 PD 1161 PD 1167 PD 1174 PD 1180 PD 1187 PD 1192 PD 1198 PD 1204 PD 1209 PD 1214 PD 1219 PD 1224 PD 1228 PD 1233 PD 1237 PD 1241 PD 1244 PD 1628 24 W 1637 24 W 1647 24 W 1657 24 W 1667 24 W 1677 24 W 1687 24 W 1697 24 W 1707 24 W 1717 24 W 1727 24 W 1736 24 W 1746 24 W 1756 24 W 1766 24 W 1776 24 W 1786 24 W 1796 24 W 1806 24 W 1816 24 W 1825 24 W 1835 24 W 1845 24 W 1855 24 W 1865 24 W 1875 24 W 1885 24 W 1895 24 W 1905 24 W 1915 1248 PD 1251 PD 1254 PD 1257 PD 1260 PD 1262 PD 1264 PD 1266 PD 1268 PD 1269 PD 1271 PD 1272 PD 1273 PD 1273 PD 1274 PD 1274 PD 1274 PD 1274 PD 1273 PD 1273 PD 1272 PD 1271 PD 1269 PD 1268 PD 1266 PD 1264 PD 1262 PD 1260 PD 1257 PD 1254 PD 24 W 1924 24 W 1934 24 W 1944 24 W 1954 24 W 1964 24 W 1974 24 W 1984 24 W 1994 24 W 2004 24 W 2013 24 W 2023 24 W 2033 24 W 2043 24 W 2053 24 W 2063 24 W 2073 24 W 2083 24 W 2093 24 W 2103 24 W 2112 24 W 2122 24 W 2132 24 W 2142 24 W 2152 24 W 2162 24 W 2172 24 W 2182 24 W 2192 24 W 2201 24 W 1251 PD 1248 PD 1244 PD 1241 PD 1237 PD 1233 PD 1228 PD 1224 PD 1219 PD 1214 PD 1209 PD 1204 PD 1198 PD 1192 PD 1187 PD 1180 PD 1174 PD 1167 PD 1161 PD 1154 PD 1147 PD 1139 PD 1132 PD 1124 PD 1116 PD 1108 PD 1100 PD 1092 PD 1083 PD 2211 24 W 2221 24 W 2231 24 W 2241 24 W 2251 24 W 2261 24 W 2271 24 W 2281 24 W 2291 24 W 2300 24 W 2310 24 W 2320 24 W 2330 24 W 2340 24 W 2350 24 W 2360 24 W 2370 24 W 2380 24 W 2389 24 W 2399 24 W 2409 24 W 2419 24 W 2429 24 W 2439 24 W 2449 24 W 2459 24 W 2469 24 W 2479 24 W 2488 24 W 2498 1074 PD 1065 PD 1056 PD 1047 PD 1038 PD 1028 PD 1018 PD 1008 PD 998 PD 988 PD 977 PD 967 PD 956 PD 945 PD 934 PD 923 PD 912 PD 901 PD 889 PD 877 PD 866 PD 854 PD 842 PD 830 PD 817 PD 805 PD 792 PD 780 PD 767 PD 754 PD 24 W 2508 741 PD 24 W 2518 728 PD 24 W 2528 715 PD 24 W 2538 702 PD 24 W 2548 689 PD 24 W 2558 675 PD 24 W 2568 662 PD 24 W 2577 648 PD 24 W 2587 635 PD 24 W 2597 621 PD 24 W 2607 607 PD 24 W 2617 594 PD 24 W 2627 580 PD 24 W 2637 566 PD 24 W 2647 552 PD 24 W 2657 538 PD 24 W 2667 524 PD 24 W 2676 510 PD 24 W 2686 495 PD 24 W 2696 481 PD 24 W 2706 467 PD 24 W 2716 453 PD 24 W 2726 440 PD 24 W 2736 426 PD 24 W 2746 414 PD 24 W 2756 401 PD 24 W 2766 390 PD gs 787 324 1980 968 MR c np gr 1 sg 0 967 1979 0 0 -967 3498 1291 4 MP PP -1979 0 0 4w DO 0 sg 3498 1291 3498 324 3992 1291 3992 324 4487 1291 4487 324 4982 1291 4982 324 5477 1291 5477 324 3498 1291 5477 1291 3498 807 5477 807 3498 324 5477 324 SO 6w 3498 1291 3498 324 3498 1291 5477 1291 3498 1291 3498 1291 3498 1291 3498 324 3465 1436 (0) s 3992 1291 3992 324 3926 1436 (50) s 4487 1291 4487 324 4387 1436 (100) s 4982 1291 4982 324 4882 1436 (150) s 5477 1291 5477 324 5377 1436 (200) s 3498 1291 5477 1291 3227 1335 (-0.1) s 3498 807 5477 807 3397 851 (0) s 3498 324 5477 324 967 1979 0 0 -967 3498 1291 5 MP stroke mt mt mt mt mt mt mt mt mt mt mt mt mt mt mt mt 3498 324 L 3498 324 L 3992 324 L 3992 324 L 4487 324 L 4487 324 L 4982 324 L 4982 324 L 5477 324 L 5477 324 L 5477 1291 L 5477 1291 L 5477 807 L 5477 807 L 5477 324 L 5477 324 L mt mt mt mt mt mt mt mt mt 5477 1291 L 5477 324 L 3498 324 L 5477 324 L 5477 1291 L 3498 324 L 3498 1271 L 3498 343 L mt 3992 1271 L mt 3992 343 L mt mt 4487 1271 L mt 4487 343 L mt mt 4982 1271 L mt 4982 343 L mt mt 5477 1271 L mt 5477 343 L mt mt 3517 1291 L mt 5457 1291 L mt mt 3517 mt 5457 mt 807 L 807 L mt 3517 mt 5457 324 L 324 L 3297 368 mt (0.1) s 3498 1291 mt 5477 1291 L 3498 324 mt 5477 324 L 3498 1291 mt 3498 324 L 5477 1291 mt 5477 324 L gs 3498 324 1980 968 MR c np gr 24 W c8 3507 24 W 3517 24 W 3527 24 W 3537 24 W 3547 24 W 3557 24 W 3567 24 W 3577 24 W 3587 24 W 3596 24 W 3606 24 W 3616 24 W 3626 24 W 3636 24 W 3646 24 W 3656 24 W 3666 24 W 3676 24 W 3686 24 W 3695 24 W 3705 24 W 3715 24 W 3725 24 W 3735 24 W 873 PD 885 PD 897 PD 909 PD 922 PD 936 PD 949 PD 963 PD 976 PD 989 PD 1003 PD 1016 PD 1029 PD 1041 PD 1054 PD 1066 PD 1078 PD 1090 PD 1101 PD 1112 PD 1123 PD 1134 PD 1144 PD 1154 PD 3745 24 W 3755 24 W 3765 24 W 3775 24 W 3784 24 W 3794 24 W 3804 24 W 3814 24 W 3824 24 W 3834 24 W 3844 24 W 3854 24 W 3864 24 W 3874 24 W 3883 24 W 3893 24 W 3903 24 W 3913 24 W 3923 24 W 3933 24 W 3943 24 W 3953 24 W 3963 24 W 3972 24 W 3982 24 W 3992 24 W 4002 24 W 4012 24 W 4022 24 W 4032 1164 PD 1173 PD 1182 PD 1191 PD 1199 PD 1207 PD 1215 PD 1222 PD 1229 PD 1235 PD 1241 PD 1247 PD 1252 PD 1257 PD 1262 PD 1266 PD 1269 PD 1272 PD 1275 PD 1277 PD 1279 PD 1281 PD 1282 PD 1282 PD 1282 PD 1282 PD 1281 PD 1280 PD 1278 PD 1276 PD 24 W 4042 24 W 4052 24 W 4062 24 W 4071 24 W 4081 24 W 4091 24 W 4101 24 W 4111 24 W 4121 24 W 4131 24 W 4141 24 W 4151 24 W 4160 24 W 4170 24 W 4180 24 W 4190 24 W 4200 24 W 4210 24 W 4220 24 W 4230 24 W 4240 24 W 4250 24 W 4259 24 W 4269 24 W 4279 24 W 4289 24 W 4299 24 W 4309 24 W 4319 24 W 1274 PD 1271 PD 1267 PD 1264 PD 1259 PD 1255 PD 1250 PD 1244 PD 1239 PD 1232 PD 1226 PD 1219 PD 1211 PD 1203 PD 1195 PD 1187 PD 1178 PD 1169 PD 1159 PD 1149 PD 1139 PD 1129 PD 1118 PD 1107 PD 1096 PD 1084 PD 1072 PD 1060 PD 1048 PD 4329 24 W 4339 24 W 4348 24 W 4358 24 W 4368 24 W 4378 24 W 4388 24 W 4398 24 W 4408 24 W 4418 24 W 4428 24 W 4438 24 W 4447 24 W 4457 24 W 4467 24 W 4477 24 W 4487 24 W 4497 24 W 4507 24 W 4517 24 W 4527 24 W 4536 24 W 4546 24 W 4556 24 W 4566 24 W 4576 24 W 4586 24 W 4596 24 W 4606 24 W 4616 1035 PD 1022 PD 1010 PD 996 PD 983 PD 970 PD 956 PD 942 PD 928 PD 914 PD 900 PD 886 PD 872 PD 857 PD 843 PD 829 PD 814 PD 800 PD 785 PD 771 PD 757 PD 742 PD 728 PD 714 PD 700 PD 686 PD 672 PD 658 PD 644 PD 631 PD 24 W 4626 24 W 4635 24 W 4645 24 W 4655 24 W 4665 24 W 4675 24 W 4685 24 W 4695 24 W 4705 24 W 4715 24 W 4724 24 W 4734 24 W 4744 24 W 4754 24 W 4764 24 W 4774 24 W 4784 24 W 4794 24 W 4804 24 W 4814 24 W 4823 24 W 4833 24 W 4843 24 W 4853 24 W 4863 24 W 4873 24 W 4883 24 W 4893 24 W 4903 24 W 618 PD 604 PD 592 PD 579 PD 566 PD 554 PD 542 PD 530 PD 518 PD 507 PD 496 PD 485 PD 475 PD 465 PD 455 PD 445 PD 436 PD 427 PD 419 PD 411 PD 403 PD 395 PD 388 PD 382 PD 375 PD 370 PD 364 PD 359 PD 355 PD 4912 24 W 4922 24 W 4932 24 W 4942 24 W 4952 24 W 4962 24 W 4972 24 W 4982 24 W 4992 24 W 5002 24 W 5011 24 W 5021 24 W 5031 24 W 5041 24 W 5051 24 W 5061 24 W 5071 24 W 5081 24 W 5091 24 W 5100 24 W 5110 24 W 5120 24 W 5130 24 W 5140 24 W 5150 24 W 5160 24 W 5170 24 W 5180 24 W 5190 24 W 5199 350 PD 347 PD 343 PD 340 PD 338 PD 336 PD 334 PD 333 PD 332 PD 332 PD 332 PD 332 PD 333 PD 335 PD 337 PD 339 PD 342 PD 345 PD 348 PD 352 PD 357 PD 362 PD 367 PD 373 PD 379 PD 385 PD 392 PD 399 PD 407 PD 415 PD 24 W 5209 423 PD 24 W 5219 432 PD 24 W 5229 441 PD 24 W 5239 450 PD 24 W 5249 460 PD 24 W 5259 470 PD 24 W 5269 480 PD 24 W 5279 491 PD 24 W 5288 502 PD 24 W 5298 513 PD 24 W 5308 524 PD 24 W 5318 536 PD 24 W 5328 548 PD 24 W 5338 560 PD 24 W 5348 573 PD 24 W 5358 585 PD 24 W 5368 598 PD 24 W 5378 611 PD 24 W 5387 625 PD 24 W 5397 638 PD 24 W 5407 651 PD 24 W 5417 665 PD 24 W 5427 678 PD 24 W 5437 692 PD 24 W 5447 705 PD 24 W 5457 717 PD 24 W 5467 729 PD 24 W 5477 741 PD gs 3498 324 1980 968 MR c np gr 1 sg 0 967 1979 0 0 -967 787 2568 4 MP PP -1979 0 0 967 1979 0 0 -967 787 2568 5 MP stroke 4w DO 0 sg 787 2568 mt 787 1601 L 787 1601 mt 787 1601 L 1281 2568 mt 1281 1601 L 1281 1601 mt 1281 1601 L 1776 2568 mt 1776 1601 L 1776 1601 mt 1776 1601 L 2271 2568 mt 2271 1601 L 2271 1601 mt 2271 1601 L 2766 2568 mt 2766 1601 L 2766 1601 mt 2766 1601 L 787 2568 mt 2766 2568 L 2766 2568 mt 2766 2568 L 787 2084 mt 2766 2084 L 2766 2084 mt 2766 2084 L 787 1601 mt 2766 1601 L 2766 1601 mt 2766 1601 L SO 6w 787 2568 mt 2766 2568 L 787 1601 mt 2766 1601 L 787 2568 mt 787 1601 L 2766 2568 mt 2766 1601 L 787 2568 mt 2766 2568 L 787 2568 mt 787 1601 L 787 2568 mt 787 2548 L 787 1601 mt 787 1620 L 754 2713 mt (0) s 1281 2568 mt 1281 2548 L 1281 1601 mt 1281 1620 L 1215 2713 mt (50) s 1776 2568 mt 1776 2548 L 1776 1601 mt 1776 1620 L 1676 2713 mt (100) s 2271 2568 mt 2271 2548 L 2271 1601 mt 2271 1620 L 2171 2713 mt (150) s 2766 2568 mt 2766 2548 L 2766 1601 mt 2766 1620 L 2666 2713 mt (200) s 787 2568 mt 806 2568 L 2766 2568 mt 2746 2568 L 516 2612 mt (-0.1) s 787 2084 mt 806 2084 L 2766 2084 mt 2746 2084 L 686 2128 mt (0) s 787 1601 mt 806 1601 L 2766 1601 mt 2746 1601 L 586 1645 mt (0.1) s 787 2568 mt 2766 2568 L 787 1601 mt 2766 1601 L 787 2568 mt 787 1601 L 2766 2568 mt 2766 1601 L gs 787 1601 1980 968 MR c np gr 24 W c8 796 2184 PD 24 W 806 2200 PD 24 W 816 2218 PD 24 W 826 2236 PD 24 W 836 2255 PD 24 W 846 2274 PD 24 W 856 2293 PD 24 W 866 2312 PD 24 W 876 2331 PD 24 W 885 2349 PD 24 W 895 2367 PD 24 W 905 2384 PD 24 W 915 2400 PD 24 W 925 2416 PD 24 W 935 2431 PD 24 W 945 2446 PD 24 W 955 2459 PD 24 W 965 2472 PD 24 W 975 2484 PD 24 W 984 2495 PD 24 W 994 2506 PD 24 W 1004 2515 PD 24 W 1014 2524 PD 24 W 1024 24 W 1034 24 W 1044 24 W 1054 24 W 1064 24 W 1073 24 W 1083 24 W 1093 24 W 1103 24 W 1113 24 W 1123 24 W 1133 24 W 1143 24 W 1153 24 W 1163 24 W 1172 24 W 1182 24 W 1192 24 W 1202 24 W 1212 24 W 1222 24 W 1232 24 W 1242 24 W 1252 24 W 1261 24 W 1271 24 W 1281 24 W 1291 24 W 1301 24 W 1311 2532 PD 2539 PD 2544 PD 2549 PD 2553 PD 2556 PD 2558 PD 2559 PD 2559 PD 2558 PD 2556 PD 2553 PD 2549 PD 2544 PD 2539 PD 2532 PD 2524 PD 2516 PD 2506 PD 2496 PD 2484 PD 2472 PD 2459 PD 2446 PD 2431 PD 2416 PD 2400 PD 2384 PD 2367 PD 2349 PD 24 W 1321 24 W 1331 24 W 1341 24 W 1351 24 W 1360 24 W 1370 24 W 1380 24 W 1390 24 W 1400 24 W 1410 24 W 1420 24 W 1430 24 W 1440 24 W 1449 24 W 1459 24 W 1469 24 W 1479 24 W 1489 24 W 1499 24 W 1509 24 W 1519 24 W 1529 24 W 1539 24 W 1548 24 W 1558 24 W 1568 24 W 1578 24 W 1588 24 W 1598 24 W 2331 PD 2312 PD 2293 PD 2273 PD 2253 PD 2233 PD 2212 PD 2191 PD 2170 PD 2149 PD 2127 PD 2106 PD 2084 PD 2062 PD 2041 PD 2019 PD 1998 PD 1977 PD 1956 PD 1935 PD 1915 PD 1895 PD 1875 PD 1856 PD 1837 PD 1819 PD 1801 PD 1784 PD 1768 PD 1608 24 W 1618 24 W 1628 24 W 1637 24 W 1647 24 W 1657 24 W 1667 24 W 1677 24 W 1687 24 W 1697 24 W 1707 24 W 1717 24 W 1727 24 W 1736 24 W 1746 24 W 1756 24 W 1766 24 W 1776 24 W 1786 24 W 1796 24 W 1806 24 W 1816 24 W 1825 24 W 1835 24 W 1845 24 W 1855 24 W 1865 24 W 1875 24 W 1885 24 W 1895 1752 PD 1737 PD 1722 PD 1709 PD 1696 PD 1684 PD 1672 PD 1662 PD 1653 PD 1644 PD 1636 PD 1629 PD 1624 PD 1619 PD 1615 PD 1612 PD 1610 PD 1609 PD 1609 PD 1610 PD 1612 PD 1615 PD 1619 PD 1624 PD 1629 PD 1636 PD 1644 PD 1653 PD 1662 PD 1672 PD 24 W 1905 24 W 1915 24 W 1924 24 W 1934 24 W 1944 24 W 1954 24 W 1964 24 W 1974 24 W 1984 24 W 1994 24 W 2004 24 W 2013 24 W 2023 24 W 2033 24 W 2043 24 W 2053 24 W 2063 24 W 2073 24 W 2083 24 W 2093 24 W 2103 24 W 2112 24 W 2122 24 W 2132 24 W 2142 24 W 2152 24 W 2162 24 W 2172 24 W 2182 24 W 1684 PD 1696 PD 1709 PD 1722 PD 1737 PD 1752 PD 1768 PD 1784 PD 1801 PD 1819 PD 1837 PD 1856 PD 1875 PD 1895 PD 1915 PD 1935 PD 1956 PD 1977 PD 1998 PD 2019 PD 2041 PD 2062 PD 2084 PD 2106 PD 2127 PD 2149 PD 2170 PD 2191 PD 2212 PD 2192 24 W 2201 24 W 2211 24 W 2221 24 W 2231 24 W 2241 24 W 2251 24 W 2261 24 W 2271 24 W 2281 24 W 2291 24 W 2300 24 W 2310 24 W 2320 24 W 2330 24 W 2340 24 W 2350 24 W 2360 24 W 2370 24 W 2380 24 W 2389 24 W 2399 24 W 2409 24 W 2419 24 W 2429 24 W 2439 24 W 2449 24 W 2459 24 W 2469 24 W 2479 2233 PD 2253 PD 2273 PD 2293 PD 2312 PD 2331 PD 2349 PD 2367 PD 2384 PD 2400 PD 2416 PD 2431 PD 2446 PD 2459 PD 2472 PD 2484 PD 2496 PD 2506 PD 2516 PD 2524 PD 2532 PD 2539 PD 2544 PD 2549 PD 2553 PD 2556 PD 2558 PD 2559 PD 2559 PD 2558 PD 24 W 2488 2556 PD 24 W 2498 2553 PD 24 W 2508 2549 PD 24 W 2518 2544 PD 24 W 2528 2539 PD 24 W 2538 2532 PD 24 W 2548 2524 PD 24 W 2558 2515 PD 24 W 2568 2506 PD 24 W 2577 2495 PD 24 W 2587 2484 PD 24 W 2597 2472 PD 24 W 2607 2459 PD 24 W 2617 2446 PD 24 W 2627 2431 PD 24 W 2637 2416 PD 24 W 2647 2400 PD 24 W 2657 2384 PD 24 W 2667 2367 PD 24 W 2676 2349 PD 24 W 2686 2331 PD 24 W 2696 2312 PD 24 W 2706 2293 PD 24 W 2716 2274 PD 24 W 2726 2255 PD 24 W 2736 2236 PD 24 W 2746 2218 PD 24 W 2756 2200 PD 24 W 2766 2184 PD gs 787 1601 1980 968 MR c np gr 1 sg 0 967 1979 0 0 -967 3498 2568 4 MP PP -1979 0 0 967 1979 0 0 -967 3498 2568 5 MP stroke 4w DO 0 sg 3498 2568 mt 3498 1601 L 3498 1601 mt 3498 1601 L 3992 2568 mt 3992 1601 L 3992 1601 mt 3992 1601 L 4487 2568 mt 4487 1601 L 4487 1601 mt 4487 1601 L 4982 2568 mt 4982 1601 L 4982 1601 mt 4982 1601 L 5477 2568 mt 5477 1601 L 5477 1601 mt 5477 1601 L 3498 2568 mt 5477 2568 L 5477 2568 mt 5477 2568 L 3498 2084 mt 5477 2084 L 5477 2084 mt 5477 2084 L 3498 1601 mt 5477 1601 L 5477 1601 mt 5477 1601 L SO 6w 3498 2568 mt 5477 2568 L 3498 1601 mt 5477 1601 L 3498 2568 mt 3498 1601 L 5477 2568 mt 5477 1601 L 3498 2568 mt 5477 2568 L 3498 2568 mt 3498 1601 L 3498 2568 mt 3498 2548 L 3498 1601 mt 3498 1620 L 3465 2713 mt (0) s 3992 2568 mt 3992 2548 L 3992 1601 mt 3992 1620 L 3926 2713 mt (50) s 4487 2568 mt 4487 2548 L 4487 1601 mt 4487 1620 L 4387 2713 mt (100) s 4982 2568 mt 4982 2548 L 4982 1601 mt 4982 1620 L 4882 2713 mt (150) s 5477 2568 mt 5477 2548 L 5477 1601 mt 5477 1620 L 5377 2713 mt (200) s 3498 2568 mt 3517 2568 L 5477 2568 mt 5457 2568 L 3227 2612 mt (-0.1) s 3498 2084 mt 3517 2084 L 5477 2084 mt 5457 2084 L 3397 2128 mt (0) s 3498 1601 mt 5477 1601 mt 3297 1645 mt (0.1) s 3498 2568 mt 3498 1601 mt 3498 2568 mt 5477 2568 mt gs 3498 1601 gr 24 W c8 3507 24 W 3517 24 W 3527 24 W 3537 24 W 3547 24 W 3557 24 W 3567 24 W 3577 24 W 3587 24 W 3596 24 W 3606 24 W 3616 24 W 3626 24 W 3636 24 W 3646 24 W 3656 24 W 3666 24 W 3676 24 W 3686 24 W 3695 24 W 3705 24 W 3715 24 W 1951 PD 1930 PD 1907 PD 1883 PD 1860 PD 1836 PD 1813 PD 1790 PD 1768 PD 1747 PD 1727 PD 1709 PD 1692 PD 1676 PD 1662 PD 1650 PD 1639 PD 1629 PD 1622 PD 1616 PD 1612 PD 1609 PD 3517 1601 L 5457 1601 L 5477 5477 3498 5477 1980 2568 L 1601 L 1601 L 1601 L 968 MR c np 3725 24 W 3735 24 W 3745 24 W 3755 24 W 3765 24 W 3775 24 W 3784 24 W 3794 24 W 3804 24 W 3814 24 W 3824 24 W 3834 24 W 3844 24 W 3854 24 W 3864 24 W 3874 24 W 3883 24 W 3893 24 W 3903 24 W 3913 24 W 3923 24 W 3933 24 W 3943 24 W 3953 24 W 3963 24 W 3972 24 W 3982 24 W 3992 24 W 4002 24 W 4012 1609 PD 1610 PD 1613 PD 1617 PD 1624 PD 1632 PD 1641 PD 1653 PD 1665 PD 1680 PD 1696 PD 1713 PD 1732 PD 1752 PD 1773 PD 1795 PD 1819 PD 1843 PD 1869 PD 1895 PD 1921 PD 1949 PD 1977 PD 2005 PD 2034 PD 2062 PD 2091 PD 2120 PD 2149 PD 2177 PD 24 W 4022 24 W 4032 24 W 4042 24 W 4052 24 W 4062 24 W 4071 24 W 4081 24 W 4091 24 W 4101 24 W 4111 24 W 4121 24 W 4131 24 W 4141 24 W 4151 24 W 4160 24 W 4170 24 W 4180 24 W 4190 24 W 4200 24 W 4210 24 W 4220 24 W 4230 24 W 4240 24 W 4250 24 W 4259 24 W 4269 24 W 4279 24 W 4289 24 W 4299 24 W 2205 PD 2233 PD 2260 PD 2286 PD 2312 PD 2337 PD 2361 PD 2384 PD 2406 PD 2426 PD 2446 PD 2464 PD 2480 PD 2496 PD 2509 PD 2521 PD 2532 PD 2541 PD 2548 PD 2553 PD 2557 PD 2559 PD 2559 PD 2558 PD 2554 PD 2549 PD 2543 PD 2534 PD 2524 PD 4309 24 W 4319 24 W 4329 24 W 4339 24 W 4348 24 W 4358 24 W 4368 24 W 4378 24 W 4388 24 W 4398 24 W 4408 24 W 4418 24 W 4428 24 W 4438 24 W 4447 24 W 4457 24 W 4467 24 W 4477 24 W 4487 24 W 4497 24 W 4507 24 W 4517 24 W 4527 24 W 4536 24 W 4546 24 W 4556 24 W 4566 24 W 4576 24 W 4586 24 W 4596 2512 PD 2499 PD 2484 PD 2468 PD 2450 PD 2431 PD 2411 PD 2389 PD 2367 PD 2343 PD 2318 PD 2293 PD 2267 PD 2240 PD 2212 PD 2184 PD 2156 PD 2127 PD 2098 PD 2070 PD 2041 PD 2012 PD 1984 PD 1956 PD 1928 PD 1901 PD 1875 PD 1850 PD 1825 PD 1801 PD 24 W 4606 24 W 4616 24 W 4626 24 W 4635 24 W 4645 24 W 4655 24 W 4665 24 W 4675 24 W 4685 24 W 4695 24 W 4705 24 W 4715 24 W 4724 24 W 4734 24 W 4744 24 W 4754 24 W 4764 24 W 4774 24 W 4784 24 W 4794 24 W 4804 24 W 4814 24 W 4823 24 W 4833 24 W 4843 24 W 4853 24 W 4863 24 W 4873 24 W 4883 24 W 1779 PD 1757 PD 1737 PD 1718 PD 1700 PD 1684 PD 1669 PD 1656 PD 1644 PD 1634 PD 1625 PD 1619 PD 1614 PD 1610 PD 1609 PD 1609 PD 1611 PD 1615 PD 1620 PD 1627 PD 1636 PD 1647 PD 1659 PD 1672 PD 1688 PD 1704 PD 1722 PD 1742 PD 1762 PD 4893 24 W 4903 24 W 4912 24 W 4922 24 W 4932 24 W 4942 24 W 4952 24 W 4962 24 W 4972 24 W 4982 24 W 4992 24 W 5002 24 W 5011 24 W 5021 24 W 5031 24 W 5041 24 W 5051 24 W 5061 24 W 5071 24 W 5081 24 W 5091 24 W 5100 24 W 5110 24 W 5120 24 W 5130 24 W 5140 24 W 5150 24 W 5160 24 W 5170 24 W 5180 1784 PD 1807 PD 1831 PD 1856 PD 1882 PD 1908 PD 1935 PD 1963 PD 1991 PD 2019 PD 2048 PD 2077 PD 2106 PD 2134 PD 2163 PD 2191 PD 2219 PD 2247 PD 2273 PD 2299 PD 2325 PD 2349 PD 2373 PD 2395 PD 2416 PD 2436 PD 2455 PD 2472 PD 2488 PD 2503 PD 24 W 5190 24 W 5199 24 W 5209 24 W 5219 24 W 5229 24 W 5239 24 W 5249 24 W 5259 24 W 5269 24 W 5279 24 W 5288 24 W 5298 24 W 5308 24 W 5318 24 W 5328 24 W 5338 24 W 5348 24 W 5358 24 W 5368 24 W 5378 24 W 5387 24 W 5397 24 W 5407 24 W 5417 24 W 5427 24 W 5437 24 W 5447 24 W 5457 24 W 5467 24 W 2515 PD 2527 PD 2536 PD 2544 PD 2551 PD 2555 PD 2558 PD 2559 PD 2559 PD 2556 PD 2552 PD 2546 PD 2539 PD 2529 PD 2518 PD 2506 PD 2492 PD 2476 PD 2459 PD 2441 PD 2421 PD 2400 PD 2378 PD 2355 PD 2332 PD 2308 PD 2285 PD 2261 PD 2238 PD 5477 2217 PD gs 3498 1601 1980 968 MR c np gr 1 sg 0 967 1979 0 0 -967 787 3846 4 MP PP -1979 0 0 967 1979 0 0 -967 787 3846 5 MP stroke 4w DO 0 sg 787 3846 mt 787 2879 L 787 2879 mt 787 2879 L 1281 3846 mt 1281 2879 L 1281 2879 mt 1281 2879 L 1776 3846 mt 1776 2879 L 1776 2879 mt 1776 2879 L 2271 3846 mt 2271 2879 L 2271 2879 mt 2271 2879 L 2766 3846 mt 2766 2879 L 2766 2879 mt 2766 2879 L 787 3846 mt 2766 3846 L 2766 3846 mt 2766 3846 L 787 3362 mt 2766 3362 L 2766 3362 mt 2766 3362 L 787 2879 mt 2766 2879 L 2766 2879 mt 2766 2879 L SO 6w 787 3846 mt 2766 3846 L 787 2879 mt 2766 2879 L 787 3846 mt 787 2879 L 2766 3846 mt 2766 2879 L 787 3846 mt 2766 3846 L 787 3846 mt 787 2879 L 787 3846 mt 787 3826 L 787 2879 mt 787 2898 L 754 3991 mt (0) s 1281 3846 mt 1281 3826 L 1281 2879 mt 1281 2898 L 1215 3991 mt (50) s 1776 3846 mt 1776 3826 L 1776 2879 mt 1776 2898 L 1676 3991 mt (100) s 2271 3846 mt 2271 3826 L 2271 2879 mt 2271 2898 L 2171 3991 mt (150) s 2766 3846 mt 2766 3826 L 2766 2879 mt 2766 2898 L 2666 3991 mt (200) s 787 3846 mt 806 3846 L 2766 3846 mt 2746 3846 L 516 3890 mt (-0.1) s 787 3362 mt 806 3362 L 2766 3362 mt 2746 3362 L 686 3406 mt (0) s 787 2879 mt 806 2879 L 2766 2879 mt 2746 2879 L 586 2923 mt (0.1) s 787 3846 mt 2766 3846 L 787 2879 mt 2766 2879 L 787 3846 mt 787 2879 L 2766 3846 mt 2766 2879 L gs 787 2879 1980 968 MR c np gr 24 W c8 796 3197 24 W 806 3170 24 W 816 3143 24 W 826 3115 24 W 836 3087 24 W 846 3060 24 W 856 3034 24 W 866 3010 24 W 876 2987 24 W 885 2966 24 W 895 2947 24 W 905 2931 24 W 915 2917 24 W 925 2906 24 W 935 2897 24 W 945 2891 24 W 955 2888 24 W 965 2887 24 W 975 2889 24 W 984 2894 24 W 994 2902 24 W PD PD PD PD PD PD PD PD PD PD PD PD PD PD PD PD PD PD PD PD PD 1004 24 W 1014 24 W 1024 24 W 1034 24 W 1044 24 W 1054 24 W 1064 24 W 1073 24 W 1083 24 W 1093 24 W 1103 24 W 1113 24 W 1123 24 W 1133 24 W 1143 24 W 1153 24 W 1163 24 W 1172 24 W 1182 24 W 1192 24 W 1202 24 W 1212 24 W 1222 24 W 1232 24 W 1242 24 W 1252 24 W 1261 24 W 1271 24 W 1281 24 W 1291 2912 PD 2925 PD 2940 PD 2958 PD 2978 PD 3000 PD 3025 PD 3051 PD 3079 PD 3109 PD 3140 PD 3173 PD 3206 PD 3241 PD 3276 PD 3312 PD 3348 PD 3384 PD 3420 PD 3455 PD 3490 PD 3525 PD 3558 PD 3590 PD 3621 PD 3651 PD 3678 PD 3704 PD 3728 PD 3750 PD 24 W 1301 24 W 1311 24 W 1321 24 W 1331 24 W 1341 24 W 1351 24 W 1360 24 W 1370 24 W 1380 24 W 1390 24 W 1400 24 W 1410 24 W 1420 24 W 1430 24 W 1440 24 W 1449 24 W 1459 24 W 1469 24 W 1479 24 W 1489 24 W 1499 24 W 1509 24 W 1519 24 W 1529 24 W 1539 24 W 1548 24 W 1558 24 W 1568 24 W 1578 24 W 3770 PD 3787 PD 3802 PD 3814 PD 3824 PD 3831 PD 3836 PD 3837 PD 3836 PD 3832 PD 3826 PD 3816 PD 3805 PD 3790 PD 3773 PD 3754 PD 3733 PD 3709 PD 3684 PD 3656 PD 3627 PD 3596 PD 3564 PD 3531 PD 3497 PD 3462 PD 3427 PD 3391 PD 3355 PD 1588 24 W 1598 24 W 1608 24 W 1618 24 W 1628 24 W 1637 24 W 1647 24 W 1657 24 W 1667 24 W 1677 24 W 1687 24 W 1697 24 W 1707 24 W 1717 24 W 1727 24 W 1736 24 W 1746 24 W 1756 24 W 1766 24 W 1776 24 W 1786 24 W 1796 24 W 1806 24 W 1816 24 W 1825 24 W 1835 24 W 1845 24 W 1855 24 W 1865 24 W 1875 3319 PD 3283 PD 3248 PD 3213 PD 3179 PD 3147 PD 3115 PD 3085 PD 3057 PD 3030 PD 3005 PD 2982 PD 2962 PD 2943 PD 2928 PD 2914 PD 2904 PD 2895 PD 2890 PD 2887 PD 2887 PD 2890 PD 2895 PD 2904 PD 2914 PD 2928 PD 2943 PD 2962 PD 2982 PD 3005 PD 24 W 1885 24 W 1895 24 W 1905 24 W 1915 24 W 1924 24 W 1934 24 W 1944 24 W 1954 24 W 1964 24 W 1974 24 W 1984 24 W 1994 24 W 2004 24 W 2013 24 W 2023 24 W 2033 24 W 2043 24 W 2053 24 W 2063 24 W 2073 24 W 2083 24 W 2093 24 W 2103 24 W 2112 24 W 2122 24 W 2132 24 W 2142 24 W 2152 24 W 2162 24 W 3030 PD 3057 PD 3085 PD 3115 PD 3147 PD 3179 PD 3213 PD 3248 PD 3283 PD 3319 PD 3355 PD 3391 PD 3427 PD 3462 PD 3497 PD 3531 PD 3564 PD 3596 PD 3627 PD 3656 PD 3684 PD 3709 PD 3733 PD 3754 PD 3773 PD 3790 PD 3805 PD 3816 PD 3826 PD 2172 24 W 2182 24 W 2192 24 W 2201 24 W 2211 24 W 2221 24 W 2231 24 W 2241 24 W 2251 24 W 2261 24 W 2271 24 W 2281 24 W 2291 24 W 2300 24 W 2310 24 W 2320 24 W 2330 24 W 2340 24 W 2350 24 W 2360 24 W 2370 24 W 2380 24 W 2389 24 W 2399 24 W 2409 24 W 2419 24 W 2429 24 W 2439 24 W 2449 24 W 2459 3832 PD 3836 PD 3837 PD 3836 PD 3831 PD 3824 PD 3814 PD 3802 PD 3787 PD 3770 PD 3750 PD 3728 PD 3704 PD 3678 PD 3651 PD 3621 PD 3590 PD 3558 PD 3525 PD 3490 PD 3455 PD 3420 PD 3384 PD 3348 PD 3312 PD 3276 PD 3241 PD 3206 PD 3173 PD 3140 PD 24 W 2469 24 W 2479 24 W 2488 24 W 2498 24 W 2508 24 W 2518 24 W 2528 24 W 2538 24 W 2548 24 W 2558 24 W 2568 24 W 2577 24 W 2587 24 W 2597 24 W 2607 24 W 2617 24 W 2627 24 W 2637 24 W 2647 24 W 2657 24 W 2667 24 W 2676 24 W 2686 24 W 2696 24 W 2706 24 W 2716 24 W 2726 24 W 2736 24 W 2746 24 W 3109 PD 3079 PD 3051 PD 3025 PD 3000 PD 2978 PD 2958 PD 2940 PD 2925 PD 2912 PD 2902 PD 2894 PD 2889 PD 2887 PD 2888 PD 2891 PD 2897 PD 2906 PD 2917 PD 2931 PD 2947 PD 2966 PD 2987 PD 3010 PD 3034 PD 3060 PD 3087 PD 3115 PD 3143 PD 2756 3170 PD 24 W 2766 3197 PD gs 787 2879 1980 968 MR c np gr 1 sg 0 967 1979 0 0 -967 3498 3846 4 MP PP -1979 0 0 967 1979 0 0 -967 3498 3846 5 MP stroke 4w DO 0 sg 3985 3846 mt 3985 2879 L 3985 2879 mt 3985 2879 L 4482 3846 mt 4482 2879 L 4482 2879 mt 4482 2879 L 4979 3846 mt 4979 2879 L 4979 2879 mt 4979 2879 L 5477 3846 mt 5477 2879 L 5477 2879 mt 5477 2879 L 3498 3846 mt 5477 3846 L 5477 3846 mt 5477 3846 L 3498 3362 mt 5477 3362 L 5477 3362 mt 5477 3362 L 3498 2879 mt 5477 2879 L 5477 2879 mt 5477 2879 L SO 6w 3498 3846 mt 5477 3846 L 3498 2879 mt 5477 2879 L 3498 3846 mt 3498 2879 L 5477 3846 mt 5477 2879 L 3498 3846 mt 5477 3846 L 3498 3846 mt 3498 2879 L 3985 3846 mt 3985 3826 L 3985 2879 mt 3985 2898 L 3919 3991 mt (50) s 4482 3846 mt 4482 3826 L 4482 2879 mt 4482 2898 L 4382 3991 mt (100) s 4979 3846 mt 4979 3826 L 4979 2879 mt 4979 2898 L 4879 3991 mt (150) s 5477 3846 mt 5477 3826 L 5477 2879 mt 5477 2898 L 5377 3991 mt (200) s 3498 3846 mt 3517 3846 L 5477 3846 mt 5457 3846 L 3227 3890 mt (-0.1) s 3498 3362 mt 3517 3362 L 5477 3362 mt 5457 3362 L 3397 3406 mt (0) s 3498 2879 mt 5477 2879 mt 3297 2923 mt (0.1) s 3498 3846 mt 3498 2879 mt 3498 3846 mt 5477 3846 mt gs 3498 2879 gr 24 W c8 3498 24 W 3507 24 W 3517 24 W 3527 24 W 3537 24 W 3547 24 W 3557 24 W 3567 24 W 3577 24 W 3587 24 W 3597 24 W 3607 24 W 3617 24 W 3627 24 W 3637 24 W 3647 24 W 3657 24 W 3667 24 W 3677 24 W 3686 24 W 3696 24 W 3706 24 W 3716 24 W 3164 PD 3133 PD 3102 PD 3071 PD 3041 PD 3013 PD 2986 PD 2962 PD 2940 PD 2922 PD 2908 PD 2897 PD 2890 PD 2887 PD 2888 PD 2893 PD 2902 PD 2914 PD 2931 PD 2951 PD 2974 PD 3001 PD 3030 PD 3517 2879 L 5457 2879 L 5477 5477 3498 5477 1980 3846 L 2879 L 2879 L 2879 L 968 MR c np 3726 24 W 3736 24 W 3746 24 W 3756 24 W 3766 24 W 3776 24 W 3786 24 W 3796 24 W 3806 24 W 3816 24 W 3826 24 W 3836 24 W 3846 24 W 3856 24 W 3865 24 W 3875 24 W 3885 24 W 3895 24 W 3905 24 W 3915 24 W 3925 24 W 3935 24 W 3945 24 W 3955 24 W 3965 24 W 3975 24 W 3985 24 W 3995 24 W 4005 24 W 4015 3062 PD 3097 PD 3134 PD 3173 PD 3213 PD 3255 PD 3298 PD 3341 PD 3384 PD 3427 PD 3470 PD 3511 PD 3552 PD 3590 PD 3627 PD 3662 PD 3694 PD 3724 PD 3750 PD 3774 PD 3793 PD 3810 PD 3822 PD 3831 PD 3836 PD 3837 PD 3834 PD 3827 PD 3816 PD 3802 PD 24 W 4025 24 W 4035 24 W 4044 24 W 4054 24 W 4064 24 W 4074 24 W 4084 24 W 4094 24 W 4104 24 W 4114 24 W 4124 24 W 4134 24 W 4144 24 W 4154 24 W 4164 24 W 4174 24 W 4184 24 W 4194 24 W 4204 24 W 4214 24 W 4223 24 W 4233 24 W 4243 24 W 4253 24 W 4263 24 W 4273 24 W 4283 24 W 4293 24 W 4303 24 W 3784 PD 3762 PD 3737 PD 3709 PD 3678 PD 3645 PD 3609 PD 3571 PD 3531 PD 3490 PD 3448 PD 3405 PD 3362 PD 3319 PD 3276 PD 3234 PD 3193 PD 3153 PD 3115 PD 3079 PD 3046 PD 3015 PD 2987 PD 2962 PD 2940 PD 2922 PD 2908 PD 2897 PD 2890 PD 4313 24 W 4323 24 W 4333 24 W 4343 24 W 4353 24 W 4363 24 W 4373 24 W 4383 24 W 4393 24 W 4402 24 W 4412 24 W 4422 24 W 4432 24 W 4442 24 W 4452 24 W 4462 24 W 4472 24 W 4482 24 W 4492 24 W 4502 24 W 4512 24 W 4522 24 W 4532 24 W 4542 24 W 4552 24 W 4562 24 W 4572 24 W 4581 24 W 4591 24 W 4601 2887 PD 2888 PD 2893 PD 2902 PD 2914 PD 2931 PD 2951 PD 2974 PD 3000 PD 3030 PD 3062 PD 3097 PD 3134 PD 3173 PD 3213 PD 3255 PD 3297 PD 3340 PD 3384 PD 3427 PD 3469 PD 3511 PD 3551 PD 3590 PD 3627 PD 3662 PD 3694 PD 3724 PD 3750 PD 3773 PD 24 W 4611 24 W 4621 24 W 4631 24 W 4641 24 W 4651 24 W 4661 24 W 4671 24 W 4681 24 W 4691 24 W 4701 24 W 4711 24 W 4721 24 W 4731 24 W 4741 24 W 4751 24 W 4760 24 W 4770 24 W 4780 24 W 4790 24 W 4800 24 W 4810 24 W 4820 24 W 4830 24 W 4840 24 W 4850 24 W 4860 24 W 4870 24 W 4880 24 W 4890 24 W 3793 PD 3810 PD 3822 PD 3831 PD 3836 PD 3837 PD 3834 PD 3827 PD 3816 PD 3802 PD 3784 PD 3762 PD 3737 PD 3709 PD 3678 PD 3645 PD 3609 PD 3571 PD 3531 PD 3490 PD 3448 PD 3405 PD 3362 PD 3319 PD 3276 PD 3234 PD 3193 PD 3153 PD 3115 PD 4900 24 W 4910 24 W 4920 24 W 4930 24 W 4939 24 W 4949 24 W 4959 24 W 4969 24 W 4979 24 W 4989 24 W 4999 24 W 5009 24 W 5019 24 W 5029 24 W 5039 24 W 5049 24 W 5059 24 W 5069 24 W 5079 24 W 5089 24 W 5099 24 W 5109 24 W 5118 24 W 5128 24 W 5138 24 W 5148 24 W 5158 24 W 5168 24 W 5178 24 W 5188 3079 PD 3046 PD 3015 PD 2987 PD 2962 PD 2940 PD 2922 PD 2908 PD 2897 PD 2890 PD 2887 PD 2888 PD 2893 PD 2902 PD 2914 PD 2931 PD 2950 PD 2974 PD 3000 PD 3030 PD 3062 PD 3097 PD 3134 PD 3172 PD 3213 PD 3254 PD 3297 PD 3340 PD 3383 PD 3426 PD 24 W 5198 3469 PD 24 W 5208 3511 PD 24 W 5218 3551 PD 24 W 5228 3590 PD 24 W 5238 3627 PD 24 W 5248 3662 PD 24 W 5258 3694 PD 24 W 5268 3723 PD 24 W 5278 3750 PD 24 W 5288 3773 PD 24 W 5297 3793 PD 24 W 5307 3810 PD 24 W 5317 3822 PD 24 W 5327 3831 PD 24 W 5337 3836 PD 24 W 5347 3837 PD 24 W 5357 3834 PD 24 W 5367 3827 PD 24 W 5377 3816 PD 24 W 5387 3802 PD 24 W 5397 3784 PD 24 W 5407 3762 PD 24 W 5417 3738 PD 24 W 5427 3711 PD 24 W 5437 3683 PD 24 W 5447 3653 PD 24 W 5457 3622 PD 24 W 5467 3591 PD 24 W 5477 3560 PD gs 3498 2879 1980 968 MR c np gr end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 614 2697 a(The)22 b(matrix)g Fm(A)h Fq(is)f(a)g(smo)r (other,)h(or)f(lo)n(w-pass)e(\014lter.)36 b(So)22 b(w)n(e)g(should)g (exp)r(ect)h(that)g(it)g(has)f(a)g(gain)614 2796 y(that)33 b(dep)r(ends)h(on)f(the)g(`frequency')g(of)g(the)h(input.)55 b(The)33 b(plot)g(sho)n(w)g(that)g(this)h(in)n(tuition)f(is)614 2896 y(correct;)25 b(the)h(input)g(is)f(brok)n(en)g(do)n(wn)g(in)n(to)g (di\013eren)n(t)h(frequency)f(comp)r(onen)n(ts)g(b)n(y)h(the)g(matrix) 614 2996 y(of)k(righ)n(t)h(singular)e(v)n(ectors)g Fm(V)19 b Fq(,)32 b(eac)n(h)e(is)h(scaled)f(b)n(y)h(the)g(corresp)r(onding)e 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500 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: 169 169 449 500 MathWorks begin bpage %%EndPageSetup %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 1728 6048 csm 305 45 3364 3974 MR c np 93 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1j 1 sg 0 0 3891 4322 PR 6w 0 3522 3014 0 0 -3522 506 3846 4 MP PP -3014 0 0 3522 3014 0 0 -3522 506 3846 5 MP stroke 4w DO 0 sg 506 3846 mt 506 324 L 506 324 mt 506 324 L 1259 3846 mt 1259 324 L 1259 324 mt 1259 324 L 2013 3846 mt 2013 324 L 2013 324 mt 2013 324 L 2766 3846 mt 2766 324 L 2766 324 mt 2766 324 L 3520 3846 mt 3520 324 L 3520 324 mt 3520 324 L 506 3846 mt 3520 3846 L 3520 3846 mt 3520 3846 L 506 3454 mt 3520 3454 L 3520 3454 mt 3520 3454 L 506 3063 mt 3520 3063 L 3520 3063 mt 3520 3063 L 506 2672 mt 3520 2672 L 3520 2672 mt 3520 2672 L 506 2280 mt 3520 2280 L 3520 2280 mt 3520 2280 L 506 1889 mt 3520 1889 L 3520 1889 mt 3520 1889 L 506 1498 mt 3520 1498 L 3520 1498 mt 3520 1498 L 506 1106 mt 3520 1106 L 3520 1106 mt 3520 1106 L 506 715 mt 3520 715 L 3520 715 mt 3520 715 L 506 324 mt 3520 324 L 3520 324 mt 3520 324 L SO 6w 506 3846 mt 3520 3846 L 506 3846 mt 506 324 L 506 3846 mt 506 3810 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 473 3991 mt (0) s 1259 3846 mt 1259 3810 L 1193 3991 mt (50) s 2013 3846 mt 2013 3810 L 1913 3991 mt (100) s 2766 3846 mt 2766 3810 L 2666 3991 mt (150) s 3520 3846 mt 3520 3810 L 3420 3991 mt (200) s 506 3846 mt 541 3846 L 405 3890 mt (0) s 506 3454 mt 541 3454 L 305 3498 mt (0.5) s 506 3063 mt 541 3063 L 405 3107 mt (1) s 506 2672 mt 541 2672 L 305 2716 mt (1.5) s 506 2280 mt 541 2280 L 405 2324 mt (2) s 506 1889 mt 541 1889 L 305 1933 mt (2.5) s 506 1498 mt 541 1498 L 405 1542 mt (3) s 506 1106 mt 541 1106 L 305 1150 mt (3.5) s 506 715 mt 541 715 L 405 759 mt (4) s 506 324 mt 541 324 L 305 368 mt (4.5) s gs 506 324 3015 3523 MR c np /c8 { 0.000000 0.400000 1.000000 sr} bdef c8 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 3131 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 2028 715 100 MP stroke 15 0 16 -2348 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 -783 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 536 3846 100 MP stroke 15 0 521 3846 2 MP stroke /c9 { 1.000000 0.600000 0.000000 sr} bdef c9 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 1 15 2 15 2 15 4 15 6 15 9 15 14 15 19 15 29 15 38 15 52 15 68 16 86 15 105 15 126 15 148 15 166 15 184 15 197 15 206 15 208 15 205 15 197 15 184 15 167 15 147 15 127 16 105 15 86 15 67 15 52 15 39 15 28 15 20 15 14 15 9 15 6 15 4 15 2 15 1 15 1 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 -1 15 -2 15 -3 15 -4 16 -7 15 -11 15 -15 15 -21 15 -29 15 -39 15 -50 15 -65 15 -79 15 -95 15 -110 15 -125 15 -138 15 -148 2028 1657 100 MP stroke 15 -154 16 -156 15 -154 15 -148 15 -138 15 -125 15 -110 15 -95 15 -79 15 -64 15 -51 15 -39 15 -29 15 -21 15 -15 16 -10 15 -7 15 -5 15 -2 15 -2 15 -1 15 -1 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 -1 15 -1 15 -1 15 -3 15 -3 15 -5 15 -7 15 -10 15 -13 15 -17 16 -21 15 -26 15 -32 15 -37 15 -42 15 -46 15 -49 15 -51 15 -52 15 -52 15 -49 15 -46 15 -41 15 -37 15 -32 16 -26 15 -22 15 -17 15 -13 15 -9 15 -7 15 -5 15 -4 15 -2 15 -1 15 -1 15 -1 15 0 15 -1 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 536 3846 100 MP stroke 15 0 521 3846 2 MP stroke gr c9 0 sg 1279 229 mt (input x, and true response y) s end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 1641 w @beginspecial 163 @llx 169 @lly 449 @urx 504 @ury 1805 @rwi @setspecial %%BeginDocument: ../../questions/0410_svd_truncated_regularization/graphics_included/sigpro_step_mea s.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: sigpro_step_meas.eps %%CreationDate: 02/08/2003 17:13:50 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 163 169 449 504 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: MathWorks begin bpage %%EndPageSetup 163 169 449 504 %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 1728 6048 csm 235 -9 3434 4028 MR c np 93 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1j 1 sg 0 0 3891 4322 PR 6w 0 3523 3014 0 0 -3523 506 3846 4 MP PP -3014 0 0 3523 3014 0 0 -3523 506 3846 5 MP stroke 4w DO 0 sg 506 3846 mt 506 324 L 506 324 mt 506 324 L 1259 3846 mt 1259 324 L 1259 324 mt 1259 324 L 2013 3846 mt 2013 324 L 2013 324 mt 2013 324 L 2766 3846 mt 2766 324 L 2766 324 mt 2766 324 L 3520 3846 mt 3520 324 L 3520 324 mt 3520 324 L 506 3846 mt 3520 3846 L 3520 3846 mt 3520 3846 L 506 3493 mt 3520 3493 L 3520 3493 mt 3520 3493 L 506 3141 mt 3520 3141 L 3520 3141 mt 3520 3141 L 506 2789 mt 3520 2789 L 3520 2789 mt 3520 2789 L 506 2437 mt 3520 2437 L 3520 2437 mt 3520 2437 L 506 2085 mt 3520 2085 L 3520 2085 mt 3520 2085 L 506 1732 mt 3520 1732 L 3520 1732 mt 3520 1732 L 506 1380 mt 3520 1380 L 3520 1380 mt 3520 1380 L 506 1028 mt 3520 1028 L 3520 1028 mt 3520 1028 L 506 676 mt 3520 676 L 3520 676 mt 3520 676 L 506 324 mt 3520 324 L 3520 324 mt 3520 324 L SO 6w 506 3846 mt 3520 3846 L 506 3846 mt 506 323 L 506 3846 mt 506 3810 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 473 3991 (0) s 1259 3846 1193 3991 (50) s 2013 3846 1913 3991 (100) s 2766 3846 2666 3991 (150) s 3520 3846 3420 3991 (200) s 506 3846 235 3890 (-0.5) s 506 3493 405 3537 (0) s 506 3141 305 3185 (0.5) s 506 2789 405 2833 (1) s 506 2437 305 2481 (1.5) s 506 2085 405 2129 (2) s 506 1732 305 1776 (2.5) s 506 1380 405 1424 (3) s 506 1028 305 1072 (3.5) s 506 676 mt mt 1259 3810 L mt mt 2013 3810 L mt mt 2766 3810 L mt mt 3520 3810 L mt mt mt 541 3846 L mt mt 541 3493 L mt mt 541 3141 L mt mt 541 2789 L mt mt 541 2437 L mt mt 541 2085 L mt mt 541 1732 L mt mt 541 1380 L mt mt 541 1028 L mt 541 676 L 405 720 mt (4) s 506 324 mt 541 324 L 305 368 mt (4.5) s gs 506 324 3015 3523 MR c np /c8 { 0.000000 0.400000 1.000000 sr} bdef c8 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 2817 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 2028 676 100 MP stroke 15 0 16 -2113 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 -704 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 16 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 15 0 536 3493 100 MP stroke 15 0 521 3493 2 MP stroke /c9 { 0.400000 0.200000 0.000000 sr} bdef c9 16 12 15 74 15 122 15 -174 15 42 15 4 15 9 15 -66 15 33 15 -117 15 167 15 -83 15 18 15 40 16 18 15 -145 15 96 15 16 15 -81 15 141 15 -45 15 36 15 56 15 -135 15 26 15 56 15 -96 15 61 16 10 15 6 15 -67 15 37 15 -68 15 79 15 -8 15 -17 15 15 15 41 15 28 15 57 15 26 15 58 16 59 15 158 15 49 15 143 15 155 15 111 15 277 15 156 15 204 15 270 15 -127 15 424 15 80 15 139 15 96 16 194 15 22 15 156 15 23 15 -50 15 134 15 -102 15 142 15 -54 15 2 15 -35 15 10 15 -106 15 190 16 -111 15 49 15 71 15 -107 15 -8 15 -90 15 7 15 35 15 79 15 -29 15 -37 15 -147 15 306 15 -7 16 -195 15 73 15 -45 15 6 15 71 15 -197 15 -77 15 86 15 -68 15 -192 15 -49 15 -121 15 -83 15 -243 2028 1587 100 MP stroke 15 14 16 -107 15 -189 15 -126 15 -30 15 -281 15 -50 15 -228 15 42 15 -210 15 58 15 -10 15 -48 15 -132 15 70 16 -10 15 150 15 -88 15 29 15 -235 15 73 15 -61 15 191 15 -38 15 -76 15 53 15 50 15 -14 15 -47 16 -59 15 73 15 298 15 -285 15 104 15 -117 15 61 15 70 15 20 15 -192 15 58 15 28 15 46 15 -203 16 70 15 -41 15 -52 15 14 15 -35 15 3 15 -73 15 -52 15 -4 15 -58 15 -123 15 0 15 -11 15 -47 15 -35 16 17 15 -220 15 238 15 -171 15 87 15 70 15 -226 15 126 15 -33 15 9 15 68 15 -90 15 84 15 82 16 15 15 15 15 gr -14 15 -70 15 -110 15 -143 15 192 15 -124 15 67 15 144 -195 15 27 15 75 15 70 15 45 15 -146 16 141 15 -142 -69 15 86 15 -20 15 28 15 -21 15 -112 15 131 15 -30 132 15 -74 15 16 536 3454 100 MP stroke 42 521 3412 2 MP stroke c9 0 sg 845 175 mt (input x, and measured noisy response y) s %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 96 FMSR 2966 235 mt (meas) s end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 614 2728 a(The)g(least-squares)e(estimate)j(returned)f(is) 924 5196 y @beginspecial 171 @llx 169 @lly 449 @urx 500 @ury 2462 @rwi @setspecial %%BeginDocument: ../../questions/0410_svd_truncated_regularization/graphics_included/sigpro_step_est .eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: sigpro_step_est.eps %%CreationDate: 02/08/2003 17:13:51 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 171 169 449 500 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: MathWorks begin bpage %%EndPageSetup 171 169 449 500 %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 1728 6048 csm 335 45 3334 3974 MR c np 92 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1j 1 sg 0 0 3891 4322 PR 6w 0 3522 3014 0 0 -3522 506 3846 4 MP PP -3014 0 0 3522 3014 0 0 -3522 506 3846 5 MP stroke 4w DO 0 sg 506 3846 mt 506 324 L 506 324 mt 506 324 L 1259 3846 mt 1259 324 L 1259 324 mt 1259 324 L 2013 3846 mt 2013 324 L 2013 324 mt 2013 324 L 2766 3846 mt 2766 324 L 2766 324 mt 2766 324 L 3520 3846 mt 3520 324 L 3520 324 mt 3520 324 L 506 3846 mt 3520 3846 L 3520 3846 mt 3520 3846 L 506 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1 %%BoundingBox: 195 169 612 500 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: MathWorks begin bpage %%EndPageSetup 195 169 612 %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 1728 6048 csm 616 93 dict /c0 { 0 /c1 { 1 /c2 { 1 /c3 { 0 /c4 { 0 /c5 { 1 /c6 { 1 /c7 { 0 c0 1j 1 sg 0 6w 45 5010 3974 MR c np begin %Colortable dictionary 0 0 sr} bdef 1 1 sr} bdef 0 0 sr} bdef 1 0 sr} bdef 0 1 sr} bdef 1 0 sr} bdef 0 1 sr} bdef 1 1 sr} bdef 0 6053 4322 PR 500 0 1486 1288 0 0 -1486 787 1810 4 MP PP -1288 0 0 1486 1288 0 0 -1486 787 1810 5 MP stroke 4w DO SO 6w 0 sg 787 1810 mt 2075 1810 L 787 324 mt 2075 324 L 787 1810 mt 787 324 L 2075 1810 mt 2075 324 L 787 1810 mt 2075 1810 L 787 1810 mt 787 324 L 787 1810 mt 787 1795 L 787 324 mt 787 338 L 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13 7 10 6 9 7 7 6 6 6 3 7 1 6 0 7 -2 6 -4 7 -7 6 -8 7 -10 6 -11 6 -14 7 -16 6 -18 7 -19 6 -22 7 -23 6 -25 7 -26 6 -28 6 -29 7 -31 6 -32 7 -32 6 -33 7 -34 6 -34 3138 909 100 MP stroke 6 -35 7 -34 6 -33 7 -34 6 -32 7 -32 6 -30 7 -29 6 -27 6 -26 7 -24 6 -22 7 -19 6 -18 7 -15 6 -14 7 -11 6 -9 6 -6 7 -5 6 -3 7 -1 6 0 7 2 6364766576677666 7 6 6 5 6 4 7 4 6 2 7 1 6 0 7 -1 6 -3 7 -4 6 -5 6 -7 7 -8 6 -9 7 -11 6 -11 7 -12 6 -14 6 -13 7 -14 6 -15 7 -15 6 -14 7 -15 6 -14 7 -14 6 -13 6 -13 7 -12 6 -10 7 -10 6 -9 7 -8 6 -7 7 -5 6 -5 6 -3 7 -2 6 -1 7 0 6072626374637564 7565746564746373 6 3 7 2 6 1 7 1 6 0 6 0 7 -1 6 -1 7 -1 6 -2 7 -2 2500 1542 100 MP stroke 6 -2 2494 1544 2 MP stroke c9 7060706070607060 6070607060706070 6060706070607060 6070607060706070 6060706070607060 7060607060706070 6 0 6 0 7 991 6 0 7 0 6 0 7 0 6 0 7060607060706070 6070606070607060 7060607060706070 6070606070607060 7060706060706070 6 0 7 0 6 0 3138 571 100 MP stroke 6 0 7 -743 6 0 7 0 6 0 7 0 6 0 7 0 6060706070607060 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5462 1067 L 4088 1111 mt (2) s 4189 819 mt 4203 819 L 5477 819 mt 5462 819 L 4088 863 mt (3) s 4189 571 mt 4203 571 L 5477 571 mt 5462 571 L 4088 615 mt (4) s 4189 324 mt 4203 324 L 5477 324 mt 5462 324 L 4088 368 mt (5) s 4189 1810 mt 5477 1810 L 4189 324 mt 5477 324 L 4189 1810 mt 4189 324 L 5477 1810 mt 5477 324 L gs 4189 324 1289 1487 MR c np c8 7 0 6 -2 7 -3 6 -4 7 -6 6 -7 7 -7 6 -8 6 -8 7 -7 6 -6 7 -5 6 -3 7 -1 6 2 7 4 6 6 6 8 7 9 6 11 7 11 6 10 7 10 6 7 6 6 7 3 6 -1 7 -3 6 -8 7 -10 6 -13 7 -15 6 -17 6 -17 7 -16 6 -14 7 -11 6 -7 7 0 6 6 7 14 6 22 6 32 7 40 6 49 7 58 6 65 7 72 6 78 6 81 7 83 6 84 7 83 6 79 7 75 6 68 7 61 6 51 6 43 7 32 6 22 7 13 6 3 7 -5 6 -12 7 -18 6 -23 6 -25 7 -27 6 -26 7 -25 6 -22 7 -18 6 -12 6 -8 7 -1 6 4 7 9 6 14 7 18 6 21 7 22 6 22 6 22 7 19 6 15 7 10 6 5 7 -2 6 -9 7 -17 6 -24 6 -31 7 -38 6 -44 7 -49 6 -53 7 -57 6 -58 4839 856 100 MP stroke 6 -59 7 -58 6 -57 7 -54 6 -51 7 -47 6 -42 7 -37 6 -31 6 -27 7 -21 6 -16 7 -11 6 -8 7 -4 6 0 7164657667776877 6766766676657465 7 3 6 3 6 3 7 1 6 0 7 0 6 -3 7 -3 6 -6 7 -7 6 -9 6 -11 7 -12 6 -14 7 -16 6 -17 7 -17 6 -19 6 -18 7 -19 6 -18 7 -17 6 -16 7 -15 6 -13 7 -11 6 -9 6 -7 7 -6 6 -3 7 -2 6 -1 7162726363726272 6 1 7 0 6 -1 6 -1 7 -2 6 -2 7 -3 6 -2 7 -3 6 -2 7 -3 6 -1 6 -1 7 -1 6 0 7 1 6171627262627262 7 1 6 1 7 0 4201 1555 100 MP stroke 6 0 4195 1555 2 MP stroke c9 7060706070607060 6070607060706070 6060706070607060 6070607060706070 6060706070607060 7060607060706070 6 0 6 0 7 991 6 0 7 0 6 0 7 0 6 0 7060607060706070 6070606070607060 7060607060706070 6070606070607060 7060706060706070 6 0 7 0 6 0 4839 571 100 MP stroke 6 0 7 -743 6 0 7 0 6 0 7 0 6 0 7 0 6060706070607060 7060607060706070 6060706070607060 70 60 70 60 70 60 70 60 70 60 gr 60607060706070 70606070607060 6 0 6 0 7 -248 6 0 7 0 6 0 7 0 70606070607060 60706060706070 70606070607060 60706060706070 70607060607060 6 0 7 0 4201 1562 100 MP stroke 4195 1562 2 MP stroke c9 0 sg 4711 229 mt (r=15) s 1 sg 0 1486 1288 0 0 -1486 787 3846 4 MP PP -1288 0 0 1486 1288 0 0 -1486 787 3846 5 MP stroke 4w DO SO 6w 0 sg 787 3846 mt 2075 3846 L 787 2360 mt 2075 2360 L 787 3846 mt 787 2360 L 2075 3846 mt 2075 2360 L 787 3846 mt 2075 3846 L 787 3846 mt 787 2360 L 787 3846 mt 787 3831 L 787 2360 mt 787 2374 L 754 3991 mt (0) s 1431 3846 mt 1431 3831 L 1431 2360 mt 1431 2374 L 1331 3991 mt (100) s 2075 3846 mt 2075 3831 L 2075 2360 mt 2075 2374 L 1975 3991 mt (200) s 787 3846 mt 801 3846 L 2075 3846 mt 2060 3846 L 616 3890 mt (-4) s 787 3548 mt 801 3548 L 2075 3548 mt 2060 3548 L 616 3592 mt (-2) s 787 3251 mt 801 3251 L 2075 3251 mt 2060 3251 L 686 3295 mt (0) s 787 2954 mt 801 2954 L 2075 2954 mt 2060 2954 L 686 2998 mt (2) s 787 2657 mt 801 2657 L 2075 2657 mt 2060 2657 L 686 2701 mt (4) s 787 2360 mt 801 2360 L 2075 2360 mt 2060 2360 L 686 2404 mt (6) s 787 3846 mt 2075 3846 L 787 2360 mt 2075 2360 L 787 3846 mt 787 2360 L 2075 3846 mt 2075 2360 L gs 787 2360 1289 1487 MR c np c8 7 67 6 71 7 66 6 54 7 35 6 12 7 -13 6 -32 6 -47 7 -52 6 -48 7 -34 6 -16 7 5 6 25 7 40 6 46 6 45 7 35 6 20 7 2 6 -16 7 -30 6 -36 6 -36 7 -28 6 -15 7 0 6 13 7 24 6 29 7 26 6 19 6 6 7 -6 6 -18 7 -26 6 -28 7 -25 6 -17 7 -4 6 9 6 21 7 31 6 37 7 41 6 41 7 40 6 41 6 43 7 48 6 55 7 62 6 68 7 71 6 69 7 59 6 44 6 24 7 0 6 -22 7 -39 6 -49 7 -51 6 -41 7 -26 6 -4 6 18 7 36 6 47 7 48 6 40 7 22 6 0 6 -23 7 -44 6 -56 7 -57 6 -48 7 -29 6 -4 7 24 6 46 6 62 7 66 6 57 7 38 6 12 7 -16 6 -43 7 -60 6 -68 6 -63 7 -47 6 -25 7 0 6 20 7 32 6 32 1437 2734 100 MP stroke 6 20 7 -4 6 -34 7 -66 6 -93 7 -109 6 -111 7 -97 6 -70 6 -32 7 9 6 46 7 74 6 88 7 85 6 67 7 37 6 1 6 -35 7 -63 6 -79 7 -80 6 -66 7 -40 6 -7 6 26 7 53 6 71 7 74 6 64 7 44 6 15 7 -13 6 -37 6 -53 7 -56 6 -49 7 -32 6 -10 7 13 6 31 7 40 6 41 6 30 7 13 6 -9 7 -28 6 -42 7 -48 6 -44 6 -33 7 -15 6 3 7 19 6 27 7 26 6 16 7 0 6 -21 6 -40 7 -52 6 -54 7 -46 6 -25 7 1 6 31 7 57 6 75 6 77 7 66 6 41 7 6 6 -32 7 -67 6 -91 6 -99 7 -88 6 -62 7 -22 6 25 7 64 6 96 7 110 6 105 6 79 7 39 6 -10 7 -58 6 -98 7 -119 6 -120 7 -99 6 -59 6 -6 7 50 6 104 7 144 6 168 7 173 799 2913 100 MP stroke 6 159 793 2754 2 MP stroke c9 7060706070607060 6070607060706070 6060706070607060 6070607060706070 6060706070607060 7060607060706070 6 0 6 0 7 594 6 0 7 0 6 0 7 0 6 0 7060607060706070 6070606070607060 7060607060706070 6070606070607060 7060706060706070 6 0 7 0 6 0 1437 2657 100 MP stroke 6 0 7 -446 6 0 7 0 6 0 7 0 6 0 7 0 6060706070607060 7060607060706070 6060706070607060 70 60 70 60 70 60 70 60 70 60 gr 60 70 60 70 60 70 60 70 60 793 607060706070 606070607060 6 0 7 -148 6 0 7 0 6 0 7 0 606070607060 706060706070 606070607060 706060706070 607060607060 7 0 799 3251 100 MP stroke 3251 2 MP stroke c9 0 sg 1309 2265 mt (r=30) s 1 sg 0 1486 1288 0 0 -1486 2488 3846 4 MP PP -1288 0 0 1486 1288 0 0 -1486 2488 3846 5 MP stroke 4w DO SO 6w 0 sg 2488 3846 mt 3776 3846 L 2488 2360 mt 3776 2360 L 2488 3846 mt 2488 2360 L 3776 3846 mt 3776 2360 L 2488 3846 mt 3776 3846 L 2488 3846 mt 2488 2360 L 2488 3846 mt 2488 3831 L 2488 2360 mt 2488 2374 L 2455 3991 mt (0) s 3132 3846 mt 3132 3831 L 3132 2360 mt 3132 2374 L 3032 3991 mt (100) s 3776 3846 mt 3776 3831 L 3776 2360 mt 3776 2374 L 3676 3991 mt (200) s 2488 3846 mt 2502 3846 L 3776 3846 mt 3761 3846 L 2183 3890 mt (-100) s 2488 3474 mt 2502 3474 L 3776 3474 mt 3761 3474 L 2250 3518 mt (-50) s 2488 3103 mt 2502 3103 L 3776 3103 mt 3761 3103 L 2387 3147 mt (0) s 2488 2731 mt 2502 2731 L 3776 2731 mt 3761 2731 L 2320 2775 mt (50) s 2488 2360 mt 2502 2360 L 3776 2360 mt 3761 2360 L 2253 2404 mt (100) s 2488 3846 mt 3776 3846 L 2488 2360 mt 3776 2360 L 2488 3846 mt 2488 2360 L 3776 3846 mt 3776 2360 L gs 2488 2360 1289 1487 MR c np c8 7 464 6 277 7 106 6 -45 7 -171 6 -242 7 -221 6 -98 6 91 7 259 6 316 7 217 6 3 7 -223 6 -343 7 -293 6 -101 6 133 7 289 6 298 7 288 6 -90 7 -290 6 -287 6 -142 7 25 6 121 7 124 6 78 7 43 6 41 7 42 6 5 6 -83 7 -176 6 -195 7 -94 6 95 7 269 6 310 7 170 6 -94 6 -317 7 -368 6 -200 7 93 6 332 7 362 6 169 6 -117 7 -309 6 -284 7 -69 6 179 7 289 6 190 7 -44 6 -243 6 -268 7 -100 6 145 7 297 6 259 7 41 6 -207 7 -315 6 -213 6 14 7 208 6 237 7 105 6 -72 7 -155 6 -87 6 60 7 153 6 95 7 -86 6 -253 7 -260 6 -65 7 228 6 421 6 368 7 67 6 -309 7 -522 6 -426 7 -71 6 328 7 521 6 400 6 54 7 -290 6 -420 7 -286 6 -5 7 221 6 252 3138 2992 100 MP stroke 6 98 7 -97 6 -173 7 -73 6 116 7 230 6 156 7 -79 6 -314 6 -369 7 -175 6 159 7 422 6 437 7 186 6 -173 7 -415 6 -399 6 -155 7 152 6 326 7 278 6 68 7 -140 6 -205 6 -104 7 60 6 144 7 78 6 -82 7 -196 6 -152 7 41 6 249 6 308 7 149 6 -139 7 -365 6 -368 7 -138 6 196 7 423 6 396 6 125 7 -225 6 -439 7 -386 6 -109 7 218 6 397 6 333 7 90 6 -169 7 -290 6 -232 7 -66 6 77 7 120 6 80 6 42 7 24 6 48 7 68 6 32 7 -70 6 -187 7 -226 6 -132 6 67 7 264 6 333 7 220 6 -24 7 -258 6 -347 6 -243 7 -20 6 183 7 253 6 183 7 48 6 -80 7 -136 6 -102 6 -23 7 37 6 45 7 8 6 -30 7 -30 6 11 7 60 6 72 6 29 7 -48 6 -102 7 -89 6 -6 7 108 2500 3125 100 MP stroke 6 192 2494 2933 2 MP stroke c9 7060706070607060 6070607060706070 6060706070607060 6070607060706070 6060706070607060 7060607060706070 6 0 6 0 7 30 6 0 7 0 6 0 7 0 6 0 7060607060706070 6070606070607060 7060607060706070 6070606070607060 7060706060706070 6 0 7 0 6 0 3138 3073 100 MP stroke 6 0 7 -22 6 0 7 0 6 0 7 0 6 0 7 0 6060706070607060 7060607060706070 6060706070607060 7060607060706070 6070606070607060 7 0 6 0 6 0 7 -8 6 0 7 0 6 0 7 0 6070606070607060 70 60 70 60 70 60 gr 60706060706 70606070607 60706060706 70607060607 6 0 7 0 2500 3103 100 2494 3103 2 MP stroke 070 060 070 060 MP stroke c9 0 sg 3010 2265 mt (r=50) s end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 614 3984 a(The)i(regularization)f(ignores)g(comp)r(onen)n (ts)h(of)h(the)g(frequency)f(corresp)r(onding)f(to)h(righ)n(t)g(sin-) 614 4084 y(gular)24 b(v)n(ectors)g Fm(v)1144 4096 y Ff(k)1210 4084 y Fq(when)i Fm(k)g(>)d(r)r Fq(.)37 b(These)25 b(are)f(the)i (higher-frequency)e(and)h(more)g(noise)g(comp)r(o-)614 4183 y(nen)n(ts.)36 b(Remo)n(ving)25 b(them)h(is)g(equiv)-5 b(alen)n(t)26 b(to)g(making)f(the)h(assumption)g(that)g(that)g(comp)r (onen)n(t)614 4283 y(is)h(actually)g(zero,)g(rather)f(than)i(using)f (the)h(measured)f(data.)614 4399 y(The)d(estimate)h(is)g(p)r(o)r(or)f (for)h Fm(r)i Fq(v)n(ery)d(small,)h(b)r(ecause)f(m)n(uc)n(h)h(of)g(the) g(signal)f(is)h(b)r(eing)g(ignored)e(b)n(y)614 4499 y(the)31 b(regularization.)44 b(It)31 b(is)g(also)f(p)r(o)r(or)g(at)h(large)e Fm(r)r Fq(,)k(when)e(v)n(ery)f(noisy)g(measuremen)n(ts)g(of)h(the)614 4598 y(high-frequency)26 b(comp)r(onen)n(ts)h(are)g(used.)p Black 1908 5764 a(13)p Black eop end %%Page: 14 14 TeXDict begin 14 13 bop Black 240 -364 a Fq(EE263)2411 b Fp(S.)26 b(Lall)103 b(2011.05.20.02)p Black Black 448 -45 a Fq(\(g\))p Black 60 w(The)27 b(error)f(is)h(plotted)h(b)r(elo)n (w.)924 1745 y @beginspecial 195 @llx 169 @lly 604 @urx 500 @ury 2462 @rwi @setspecial %%BeginDocument: ../../questions/0410_svd_truncated_regularization/graphics_included/sigpro_reg_erro rs.eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: sigpro_reg_errors.eps %%CreationDate: 02/08/2003 17:13:51 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: %%EndComments 195 169 604 500 %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: MathWorks begin bpage %%EndPageSetup 195 169 604 %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 1728 6048 csm 619 92 dict /c0 { 0 /c1 { 1 /c2 { 1 /c3 { 0 /c4 { 0 /c5 { 1 /c6 { 1 /c7 { 0 c0 1j 1 sg 0 45 4908 3974 MR c np begin %Colortable dictionary 0 0 sr} bdef 1 1 sr} bdef 0 0 sr} bdef 1 0 sr} bdef 0 1 sr} bdef 1 0 sr} bdef 0 1 sr} bdef 1 1 sr} bdef 0 6053 4322 PR 500 6w 0 3522 4690 0 0 -3522 787 3846 4 MP PP -4690 0 0 3522 4690 0 0 -3522 787 3846 5 MP 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104 0 0 -2636 865 3846 4 MP PP 0 sg -104 0 0 2636 104 0 0 -2636 865 3846 5 MP stroke c8 0 2333 104 0 0 -2333 995 3846 4 MP PP 0 sg -104 0 0 2333 104 0 0 -2333 995 3846 5 MP stroke c8 0 1986 104 0 0 -1986 1125 3846 4 MP PP 0 sg -104 0 0 1986 104 0 0 -1986 1125 3846 c8 0 1452 104 0 0 -1452 1256 3846 4 MP PP 0 sg -104 0 0 1452 104 0 0 -1452 1256 3846 c8 0 1371 104 0 0 -1371 1386 3846 4 MP PP 0 sg -104 0 0 1371 104 0 0 -1371 1386 3846 c8 0 1236 104 0 0 -1236 1516 3846 4 MP PP 0 sg -104 0 0 1236 104 0 0 -1236 1516 3846 c8 0 1122 105 0 0 -1122 1646 3846 4 MP PP 0 sg -105 0 0 1122 105 0 0 -1122 1646 3846 c8 0 1122 104 0 0 -1122 1777 3846 4 MP PP 0 sg -104 0 0 1122 104 0 0 -1122 1777 3846 c8 0 1090 104 0 0 -1090 1907 3846 4 MP PP 0 sg -104 0 0 1090 104 0 0 -1090 1907 3846 c8 0 1082 104 0 0 -1082 2037 3846 4 MP PP 0 sg -104 0 0 1082 104 0 0 -1082 2037 3846 c8 0 999 105 0 0 -999 2167 3846 4 MP PP 0 sg -105 0 0 999 105 0 0 -999 2167 3846 5 c8 0 909 104 0 0 -909 2298 3846 4 MP PP 0 sg -104 0 0 909 104 0 0 -909 2298 3846 5 c8 0 909 104 0 0 -909 2428 3846 4 MP PP 0 sg -104 0 0 909 104 0 0 -909 2428 3846 5 c8 0 848 105 0 0 -848 2558 3846 4 MP PP 0 sg 5 MP stroke 5 MP stroke 5 MP stroke 5 MP stroke 5 MP stroke 5 MP stroke 5 MP stroke 5 MP stroke MP stroke MP stroke MP stroke -105 0 0 848 105 0 0 -848 2558 c8 0 810 104 0 0 -810 2689 3846 4 PP 0 sg -104 0 0 810 104 0 0 -810 2689 c8 0 809 104 0 0 -809 2819 3846 4 PP 0 sg -104 0 0 809 104 0 0 -809 2819 c8 0 805 104 0 0 -805 2949 3846 4 PP 0 sg -104 0 0 805 104 0 0 -805 2949 c8 0 805 105 0 0 -805 3079 3846 4 PP 0 sg -105 0 0 805 105 0 0 -805 3079 c8 0 761 104 0 0 -761 3210 3846 4 PP 0 sg -104 0 0 761 104 0 0 -761 3210 c8 0 737 104 0 0 -737 3340 3846 4 PP 0 sg -104 0 0 737 104 0 0 -737 3340 c8 0 735 104 0 0 -735 3470 3846 4 PP 0 sg -104 0 0 735 104 0 0 -735 3470 c8 0 694 104 0 0 -694 3601 3846 4 PP 0 sg -104 0 0 694 104 0 0 -694 3601 c8 0 693 104 0 0 -693 3731 3846 4 PP 0 sg -104 0 0 693 104 0 0 -693 3731 c8 0 693 104 0 0 -693 3861 3846 4 PP 0 sg -104 0 0 693 104 0 0 -693 3861 c8 0 747 105 0 0 -747 3991 3846 4 PP 0 sg -105 0 0 747 105 0 0 -747 3991 c8 0 1018 104 0 0 -1018 4122 3846 PP 3846 5 MP stroke MP 3846 5 MP stroke MP 3846 5 MP stroke MP 3846 5 MP stroke MP 3846 5 MP stroke MP 3846 5 MP stroke MP 3846 5 MP stroke MP 3846 5 MP stroke MP 3846 5 MP stroke MP 3846 5 MP stroke MP 3846 5 MP stroke MP 3846 5 MP stroke 4 MP 0 sg -104 0 c8 0 1026 PP 0 sg -104 0 c8 0 1028 PP 0 sg -104 0 c8 0 1153 PP 0 sg -105 0 c8 0 1785 PP 0 sg -104 0 c8 0 1786 PP 0 sg -104 0 c8 0 1827 PP 0 sg -105 0 c8 0 1844 PP 0 sg -104 0 c8 0 1864 PP 0 sg -104 0 c8 0 3460 PP 0 sg -104 0 gr 0 1018 104 0 0 -1018 4122 3846 5 MP stroke 104 0 0 -1026 4252 3846 4 MP 0 1026 104 0 0 -1026 4252 3846 5 MP stroke 104 0 0 -1028 4382 3846 4 MP 0 1028 104 0 0 -1028 4382 3846 5 MP stroke 105 0 0 -1153 4512 3846 4 MP 0 1153 105 0 0 -1153 4512 3846 5 MP stroke 104 0 0 -1785 4643 3846 4 MP 0 1785 104 0 0 -1785 4643 3846 5 MP stroke 104 0 0 -1786 4773 3846 4 MP 0 1786 104 0 0 -1786 4773 3846 5 MP stroke 105 0 0 -1827 4903 3846 4 MP 0 1827 105 0 0 -1827 4903 3846 5 MP stroke 104 0 0 -1844 5034 3846 4 MP 0 1844 104 0 0 -1844 5034 3846 5 MP stroke 104 0 0 -1864 5164 3846 4 MP 0 1864 104 0 0 -1864 5164 3846 5 MP stroke 104 0 0 -3460 5294 3846 4 MP 0 3460 104 0 0 -3460 5294 3846 5 MP stroke 1888 229 mt (error versus number of retained singular values) s end eplot %%EndObject epage end showpage %%Trailer %%EOF %%EndDocument @endspecial 614 1861 a(The)f(graph)g(sho)n(ws)f(the)i(error)e (phenomena)h(describ)r(ed)h(in)g(part)f(\(f)6 b(\).)39 b(Using)27 b(to)r(o)g(few)h(singular)614 1961 y(v)-5 b(alues)18 b(means)h(w)n(e)g(lose)f(to)r(o)h(m)n(uc)n(h)f(information,) j(using)d(to)r(o)h(man)n(y)g(means)f(w)n(e)h(use)g(information)614 2060 y(whic)n(h)27 b(is)h(v)n(ery)e(badly)h(corrupted)g(b)n(y)g(noise.) p Black 448 2193 a(\(h\))p Black 56 w(F)-7 b(rom)24 b(the)h(ab)r(o)n(v) n(e)f(bar)g(c)n(hart,)h(w)n(e)f(\014nd)i(the)f(n)n(um)n(b)r(er)g(of)g (singular)f(v)-5 b(alues)24 b(whic)n(h)h(results)f(in)i(the)614 2293 y(minim)n(um)f(error)e(is)i(24.)36 b(Since)25 b(the)g(noise)g(is)g (generated)f(randomly)-7 b(,)24 b(y)n(ou)h(ma)n(y)f(ha)n(v)n(e)g(a)h (sligh)n(tly)614 2392 y(di\013eren)n(t)i(v)-5 b(alue.)614 2509 y(The)27 b(corresp)r(onding)f(estimate)h(is)h(b)r(elo)n(w.)924 4261 y @beginspecial 195 @llx 169 @lly 612 @urx 500 @ury 2462 @rwi @setspecial %%BeginDocument: ../../questions/0410_svd_truncated_regularization/graphics_included/sigpro_reg_min. eps %!PS-Adobe-2.0 EPSF-1.2 %%Creator: MATLAB, The Mathworks, Inc. %%Title: sigpro_reg_min.eps %%CreationDate: 02/08/2003 17:13:52 %%DocumentNeededFonts: Helvetica %%DocumentProcessColors: Cyan Magenta Yellow Black %%Extensions: CMYK %%Pages: 1 %%BoundingBox: 195 169 612 500 %%EndComments %%BeginProlog % MathWorks dictionary /MathWorks 160 dict begin % definition operators /bdef {bind def} bind def /ldef {load def} bind def /xdef {exch def} bdef /xstore {exch store} bdef % operator abbreviations /c /clip ldef /cc /concat ldef /cp /closepath ldef /gr /grestore ldef /gs /gsave ldef /mt /moveto ldef /np /newpath ldef /cm /currentmatrix ldef /sm /setmatrix ldef /rm /rmoveto ldef /rl /rlineto ldef /s {show newpath} bdef /sc {setcmykcolor} bdef /sr /setrgbcolor ldef /sg /setgray ldef /w /setlinewidth ldef /j /setlinejoin ldef /cap /setlinecap ldef /rc {rectclip} bdef /rf {rectfill} bdef % page state control /pgsv () def /bpage {/pgsv save def} bdef /epage {pgsv restore} bdef /bplot /gsave ldef /eplot {stroke grestore} bdef % orientation switch /portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def % coordinate system mappings /dpi2point 0 def % font control /FontSize 0 def /FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0] makefont setfont} bdef /reencode {exch dup where {pop load} {pop StandardEncoding} ifelse exch dup 3 1 roll findfont dup length dict begin { 1 index /FID ne {def}{pop pop} ifelse } forall /Encoding exch def currentdict end definefont pop} bdef /isroman {findfont /CharStrings get /Agrave known} bdef /FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse exch FMS} bdef /csm {1 dpi2point div -1 dpi2point div scale neg translate dup landscapeMode eq {pop -90 rotate} {rotateMode eq {90 rotate} if} ifelse} bdef % line types: solid, dotted, dashed, dotdash /SO { 0 setdash } bdef /DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef /DA { [6 dpi2point mul] 0 setdash } bdef /DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4 dpi2point mul] 0 setdash } bdef % macros for lines and objects /L {lineto stroke} bdef /MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef /AP {{rlineto} repeat} bdef /PDlw -1 def /W {/PDlw currentlinewidth def setlinewidth} def /PP {closepath eofill} bdef /DP {closepath stroke} bdef /MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} bdef /FR {MR stroke} bdef /PR {MR fill} bdef /L1i {{currentfile picstr readhexstring pop} image} bdef /tMatrix matrix def /MakeOval {newpath tMatrix currentmatrix pop translate scale 0 0 1 0 360 arc tMatrix setmatrix} bdef /FO {MakeOval stroke} bdef /PO {MakeOval fill} bdef /PD {currentlinewidth 2 div 0 360 arc fill PDlw -1 eq not {PDlw w /PDlw -1 def} if} def /FA {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef /PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef /FAn {newpath tMatrix currentmatrix pop translate scale 0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef /PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale 0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef /vradius 0 def /hradius 0 def /lry 0 def /lrx 0 def /uly 0 def /ulx 0 def /rad 0 def /MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef /ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly vradius add translate hradius vradius scale 0 0 1 180 270 arc tMatrix setmatrix lrx hradius sub uly vradius add translate hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix lrx hradius sub lry vradius sub translate hradius vradius scale 0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix closepath} bdef /FRR {MRR stroke } bdef /PRR {MRR fill } bdef /MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix closepath} bdef /FlrRR {MlrRR stroke } bdef /PlrRR {MlrRR fill } bdef /MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def newpath tMatrix currentmatrix pop ulx rad add uly rad add translate rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix closepath} bdef /FtbRR {MtbRR stroke } bdef /PtbRR {MtbRR fill } bdef /stri 6 array def /dtri 6 array def /smat 6 array def /dmat 6 array def /tmat1 6 array def /tmat2 6 array def /dif 3 array def /asub {/ind2 exch def /ind1 exch def dup dup ind1 get exch ind2 get sub exch } bdef /tri_to_matrix { 2 0 asub 3 1 asub 4 0 asub 5 1 asub dup 0 get exch 1 get 7 -1 roll astore } bdef /compute_transform { dmat dtri tri_to_matrix tmat1 invertmatrix smat stri tri_to_matrix tmat2 concatmatrix } bdef /ds {stri astore pop} bdef /dt {dtri astore pop} bdef /db {2 copy /cols xdef /rows xdef mul dup 3 mul string currentfile exch readhexstring pop dup 0 3 index getinterval /rbmap xdef dup 2 index dup getinterval /gbmap xdef 1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef /it {gs np dtri aload pop moveto lineto lineto cp c cols rows 8 compute_transform rbmap gbmap bbmap true 3 colorimage gr}bdef /il {newpath moveto lineto stroke}bdef currentdict end def %%EndProlog %%BeginSetup MathWorks begin 0 cap end %%EndSetup %%Page: 1 1 %%BeginPageSetup %%PageBoundingBox: MathWorks begin bpage %%EndPageSetup 195 169 612 500 %%BeginObject: obj1 bplot /dpi2point 12 def portraitMode 1728 6048 csm 616 45 5010 3974 MR c np 93 dict begin %Colortable dictionary /c0 { 0 0 0 sr} bdef /c1 { 1 1 1 sr} bdef /c2 { 1 0 0 sr} bdef /c3 { 0 1 0 sr} bdef /c4 { 0 0 1 sr} bdef /c5 { 1 1 0 sr} bdef /c6 { 1 0 1 sr} bdef /c7 { 0 1 1 sr} bdef c0 1j 1 sg 0 0 6053 4322 PR 6w 0 3522 4690 0 0 -3522 787 3846 4 MP PP -4690 0 0 3522 4690 0 0 -3522 787 3846 5 MP stroke 4w DO 0 sg 787 3846 mt 787 324 L 787 324 mt 787 324 L 1256 3846 mt 1256 324 L 1256 324 mt 1256 324 L 1725 3846 mt 1725 324 L 1725 324 mt 1725 324 L 2194 3846 mt 2194 324 L 2194 324 mt 2194 324 L 2663 3846 mt 2663 324 L 2663 324 mt 2663 324 L 3132 3846 mt 3132 324 L 3132 324 mt 3132 324 L 3601 3846 mt 3601 324 L 3601 324 mt 3601 324 L 4070 3846 mt 4070 324 L 4070 324 mt 4070 324 L 4539 3846 mt 4539 324 L 4539 324 mt 4539 324 L 5008 3846 mt 5008 324 L 5008 324 mt 5008 324 L 5477 3846 mt 5477 324 L 5477 324 mt 5477 324 L 787 3846 mt 5477 3846 L 5477 3846 mt 5477 3846 L 787 3259 mt 5477 3259 L 5477 3259 mt 5477 3259 L 787 2672 mt 5477 2672 L 5477 2672 mt 5477 2672 L 787 2085 mt 5477 2085 L 5477 2085 mt 5477 2085 L 787 1498 mt 5477 1498 L 5477 1498 mt 5477 1498 L 787 911 mt 5477 911 L 5477 911 mt 5477 911 L 787 324 mt 5477 324 L 5477 324 mt 5477 324 L SO 6w 787 3846 mt 5477 3846 L 787 324 mt 5477 324 L 787 3846 mt 787 324 L 5477 3846 mt 5477 324 L 787 3846 mt 5477 3846 L 787 3846 mt 787 324 L 787 3846 mt 787 3799 L 787 324 mt 787 370 L %%IncludeResource: font Helvetica /Helvetica /ISOLatin1Encoding 120 FMSR 754 3991 (0) s 1256 3846 1256 324 1190 3991 (20) s 1725 3846 1725 324 1659 3991 (40) s 2194 3846 2194 324 2128 3991 (60) s 2663 3846 2663 324 2597 3991 (80) s 3132 3846 3132 324 3032 3991 (100) s 3601 3846 3601 324 3501 3991 (120) s 4070 3846 4070 324 3970 3991 mt mt 1256 3799 L mt 1256 370 L mt mt 1725 3799 L mt 1725 370 L mt mt 2194 3799 L mt 2194 370 L 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24 -11 23 -11 24 -12 23 -12 23 -9 24 -7 23 -4 24 1 23 4 24 9 23 11 24 14 23 16 23 15 24 15 23 12 24 10 23 6 24 3 23 -1 24 -3 23 -5 24 -8 23 -9 23 -10 24 -12 23 -13 24 -15 23 -16 24 -19 23 -20 24 -19 23 -17 23 -12 24 -1 23 12 24 32 23 56 24 84 23 115 24 148 23 179 24 209 23 232 23 250 24 257 23 254 24 242 23 219 24 188 23 149 24 106 23 63 23 21 24 -16 23 -45 24 -66 23 -77 24 -78 23 -70 24 -55 23 -35 24 -14 23 7 23 25 24 37 23 43 24 42 23 34 24 22 23 6 24 -11 23 -26 23 -38 24 -43 23 -42 24 -36 23 -22 24 -5 23 15 24 34 23 49 24 59 23 60 23 53 24 35 23 10 24 -24 23 -62 24 -101 23 -140 24 -173 23 -199 3155 1418 100 MP stroke 23 -215 24 -220 23 -215 24 -198 23 -173 24 -141 23 -107 24 -71 23 -38 24 -10 23 11 23 25 24 32 23 30 24 24 23 14 24 2 23 -9 24 -19 23 -24 23 -26 24 -23 23 -16 24 -6 23 5 24 16 23 26 24 33 23 37 24 36 23 33 23 25 24 17 23 6 24 -3 23 -12 24 -18 23 -22 24 -22 23 -20 23 -17 24 -13 23 -8 24 -6 23 -5 24 -8 23 -13 24 -21 23 -30 24 -41 23 -52 23 -62 24 -68 23 -71 24 -70 23 -65 24 -56 23 -44 24 -29 23 -14 23 0 24 14 23 24 24 30 23 34 24 32 23 28 24 21 23 11 24 1 23 -8 23 -16 24 -22 23 -25 24 -26 23 -25 24 -20 23 -16 24 -8 23 -3 23 3 24 8 23 11 24 13 23 12 24 12 23 10 24 6 23 4 24 2 23 -1 23 -3 24 -3 23 -4 24 -3 23 -3 24 -2 23 -1 24 -1 833 3261 100 MP stroke 23 0 810 3261 2 MP stroke /c9 { 1.000000 0.600000 0.000000 sr} bdef c9 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 23 2348 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 3155 911 100 MP stroke 23 0 24 -1761 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 24 0 23 0 23 0 24 0 23 0 24 0 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Fm(x)684 4697 y Ff(i)712 4685 y Fq(\()p Fm(t)p Fq(\))g(represen)n(ting)f(the)h(total)f(mass)g(of)h(sp)r (ecies)g(or)e(comp)r(onen)n(t)i Fm(i)f Fq(at)h(time)g Fm(t)p Fq(.)38 b(Comp)r(onen)n(t)27 b Fm(i)448 4785 y Fq(has)c(\(p)r(ositiv)n(e\))h(v)-5 b(alue)23 b(\(or)h(cost\))f Fm(c)1536 4797 y Ff(i)1564 4785 y Fq(,)i(so)e(the)h(total)g(v)-5 b(alue)23 b(\(or)g(cost\))h(of)g(the)g(comp)r(onen)n(ts)f(at)h(time)g Fm(t)g Fq(is)448 4884 y Fm(c)484 4854 y Ff(T)536 4884 y Fm(x)p Fq(\()p Fm(t)p Fq(\).)37 b(\(W)-7 b(e)25 b(ignore)f(an)n(y)g (extra)g(cost)g(that)h(w)n(ould)f(b)r(e)i(incurred)e(in)h(separating)e (the)i(comp)r(onen)n(ts.\))448 4984 y(Y)-7 b(our)21 b(job)h(is)g(to)g (c)n(ho)r(ose)f(the)h(initial)g(state,)h(under)f(a)g(budget)g (constrain)n(t,)g(that)g(maximizes)g(the)g(total)448 5083 y(v)-5 b(alue)30 b(at)g(time)h Fm(T)12 b Fq(.)44 b(More)29 b(sp)r(eci\014cally)-7 b(,)31 b(y)n(ou)f(are)f(to)h(c)n(ho)r (ose)f Fm(x)p Fq(\(0\),)j(with)f(all)f(en)n(tries)f(nonnegativ)n(e,)448 5183 y(that)j(satis\014es)f Fm(c)978 5153 y Ff(T)1030 5183 y Fm(x)p Fq(\(0\))g Fl(\024)g Fm(B)t Fq(,)i(where)f Fm(B)k Fq(is)c(a)f(giv)n(en)h(p)r(ositiv)n(e)f(budget.)51 b(The)32 b(problem)g(data)f(\()p Fi(i.e.)p Fq(,)448 5283 y(things)c(y)n(ou)g(kno)n(w\))g(are)g Fm(A)p Fq(,)h Fm(c)p Fq(,)f Fm(T)12 b Fq(,)27 b(and)g Fm(B)t Fq(.)p Black 1908 5764 a(14)p Black eop end %%Page: 15 15 TeXDict begin 15 14 bop Black 240 -364 a Fq(EE263)2411 b Fp(S.)26 b(Lall)103 b(2011.05.20.02)p Black 448 -45 a Fq(Y)-7 b(ou)25 b(can)g(assume)f(that)i Fm(A)f Fq(is)g(suc)n(h)g (that,)h(for)f(an)n(y)f Fm(x)p Fq(\(0\))i(with)g(nonnegativ)n(e)d(comp) r(onen)n(ts,)j Fm(x)p Fq(\()p Fm(t)p Fq(\))g(will)448 55 y(also)32 b(ha)n(v)n(e)g(all)h(comp)r(onen)n(ts)g(nonnegativ)n(e,)h (for)f(an)n(y)f Fm(t)h Fl(\025)g Fq(0.)54 b(\(This)33 b(o)r(ccurs,)h(b)n(y)g(the)f(w)n(a)n(y)-7 b(,)34 b(if)g(and)448 155 y(only)27 b(if)h(the)g(o\013-diagonal)e(en)n(tries)g(of)i Fm(A)g Fq(are)f(nonnegativ)n(e.\))p Black 483 318 a(\(a\))p Black 41 w(Explain)g(ho)n(w)g(to)h(solv)n(e)e(this)i(problem.)p Black 478 447 a(\(b\))p Black 42 w(Carry)e(out)i(y)n(our)e(metho)r(d)i (on)g(the)g(sp)r(eci\014c)f(instance)h(with)g(data)960 772 y Fm(A)23 b Fq(=)1133 555 y Fg(2)1133 701 y(6)1133 751 y(6)1133 804 y(4)1230 622 y Fq(0)p Fm(:)p Fq(1)82 b(0)p Fm(:)p Fq(1)g(0)p Fm(:)p Fq(3)114 b(0)1262 721 y(0)h(0)p Fm(:)p Fq(2)82 b(0)p Fm(:)p Fq(4)g(0)p Fm(:)p Fq(3)1230 821 y(0)p Fm(:)p Fq(1)g(0)p Fm(:)p Fq(3)g(0)p Fm(:)p Fq(1)114 b(0)1262 920 y(0)147 b(0)115 b(0)p Fm(:)p Fq(2)82 b(0)p Fm(:)p Fq(1)1945 555 y Fg(3)1945 701 y(7)1945 751 y(7)1945 804 y(5)2014 772 y Fm(;)97 b(c)23 b Fq(=)2281 555 y Fg(2)2281 701 y(6)2281 751 y(6)2281 804 y(4)2377 622 y Fq(3)p Fm(:)p Fq(5)2377 721 y(0)p Fm(:)p Fq(6)2377 821 y(1)p Fm(:)p Fq(1)2377 920 y(2)p Fm(:)p Fq(0)2525 555 y Fg(3)2525 701 y(7)2525 751 y(7)2525 804 y(5)2594 772 y Fm(;)97 b(T)34 b Fq(=)23 b(10)p Fm(;)96 b(B)27 b Fq(=)c(1)p Fm(:)630 1104 y Fq(Giv)n(e)k(the)h(optimal)g Fm(x)p 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y Fn(Solution.)p Black 483 2073 a Fq(\(a\))p Black 41 w(W)e(e)42 b(ha)n(v)n(e)d Fm(c)1027 2043 y Ff(T)1080 2073 y Fm(x)p Fq(\()p Fm(T)12 b Fq(\))45 b(=)g Fm(c)1443 2043 y Ff(T)1495 2073 y Fm(e)1534 2043 y Ff(tA)1613 2073 y Fm(x)p Fq(\(0\))h(=)f Fm(b)1958 2043 y Ff(T)2009 2073 y Fm(x)p Fq(\(0\),)g(where)c(w)n(e)f(de\014ne)i Fm(b)j Fq(=)f(\()p Fm(e)3134 2043 y Ff(T)9 b(A)3237 2073 y Fq(\))3269 2043 y Ff(T)3321 2073 y Fm(c)p Fq(,)45 b(so)40 b(our)630 2172 y(problem)32 b(is)g(to)g(maximize)g Fm(b)1564 2142 y Ff(T)1616 2172 y Fm(x)p Fq(\(0\),)j(sub)5 b(ject)32 b(to)g Fm(x)p Fq(\(0\))g Fl(\025)e Fq(0)i(\(this)h(means)f(all)g(its)g (en)n(tries)g(are)630 2272 y(nonnegativ)n(e\),)k(and)f Fm(c)1361 2242 y Ff(T)1413 2272 y Fm(x)p Fq(\(0\))h Fl(\024)g Fm(B)t Fq(.)59 b(Y)-7 b(ou)35 b(can)g(think)h(of)f Fm(c)2555 2284 y Ff(i)2617 2272 y Fq(as)g(the)g(cost)g(of)g(in)n(v)n(esting)f(in) h(a)630 2372 y(unit)h(of)g(comp)r(onen)n(t)f Fm(i)p Fq(,)i(and)e Fm(b)1642 2384 y Ff(i)1705 2372 y Fq(as)g(the)h(pa)n(y)n(o\013)e (receiv)n(ed.)59 b(Th)n(us,)37 b(the)f(gain)f(is)g Fm(b)3301 2384 y Ff(i)3328 2372 y Fm(=c)3406 2384 y Ff(i)3434 2372 y Fq(.)60 b(The)630 2471 y(solution)34 b(to)g(this)g(problem)g(is)g(to) g(in)n(v)n(est)f(ev)n(erything)g(\()p Fi(i.e.)p Fq(,)38 b(the)c(whole)g(budget)g Fm(B)t Fq(\))h(in)f(an)n(y)630 2571 y(comp)r(onen)n(t)39 b(that)h(has)f(maxim)n(um)g(gain.)71 b(More)38 b(formally)-7 b(,)42 b(w)n(e)d(c)n(ho)r(ose)f(an)n(y)g Fm(k)k Fq(for)d(whic)n(h)630 2670 y Fm(b)666 2682 y Ff(k)707 2670 y Fm(=c)785 2682 y Ff(k)855 2670 y Fq(=)29 b(max)o Fl(f)p Fm(b)1181 2682 y Fj(1)1218 2670 y Fm(=c)1296 2682 y Fj(1)1332 2670 y Fm(;)14 b(:)g(:)g(:)g(;)g(b)1553 2682 y Ff(n)1598 2670 y Fm(=c)1676 2682 y Ff(n)1720 2670 y Fl(g)p Fq(,)32 b(and)g(then)g(set)f Fm(x)p Fq(\(0\))f(=)f Fm(B)t(e)2692 2682 y Ff(k)2733 2670 y Fq(.)49 b(\(Recall)31 b(that)h(w)n(e)f(assume)630 2770 y Fm(b)666 2782 y Ff(i)717 2770 y Fl(\025)22 b Fq(0)27 b(and)h Fm(c)1071 2782 y Ff(i)1121 2770 y Fm(>)23 b Fq(0)k(here.\))630 2885 y(W)-7 b(e)31 b(didn't)g(require)f(a)g(completely)g(formal)f(pro)r(of)h(that)h (this)g(is)f(the)h(optimal)f(strategy)-7 b(.)44 b(But)630 2984 y(here)18 b(is)h(one,)h(just)f(so)f(y)n(ou)g(kno)n(w)g(what)g(one) g(lo)r(oks)g(lik)n(e.)34 b(Supp)r(ose)18 b(that)h Fm(x)p Fq(\(0\))g(satis\014es)f Fm(x)p Fq(\(0\))24 b Fl(\025)e Fq(0,)630 3084 y Fm(c)666 3054 y Ff(T)718 3084 y Fm(x)p Fq(\(0\))i Fl(\024)f Fm(B)t Fq(.)37 b(Then)28 b(w)n(e)f(ha)n(v)n(e)1339 3326 y Fm(b)1375 3291 y Ff(T)1427 3326 y Fm(x)p Fq(\(0\))84 b(=)1851 3222 y Ff(n)1811 3247 y Fg(X)1817 3424 y Ff(i)p Fj(=1)1931 3326 y Fq(\()p Fm(b)1999 3338 y Ff(i)2027 3326 y Fm(=c)2105 3338 y Ff(i)2132 3326 y Fq(\)\()p Fm(c)2232 3338 y Ff(i)2260 3326 y Fm(x)p Fq(\(0\))2413 3338 y Ff(i)2441 3326 y Fq(\))1664 3610 y Fl(\024)1811 3493 y Fg(\022)1919 3610 y Fq(max)1872 3663 y Ff(i)p Fj(=1)p Ff(;:::;n)2119 3610 y Fq(\()p Fm(b)2187 3622 y Ff(i)2215 3610 y Fm(=c)2293 3622 y Ff(i)2320 3610 y Fq(\))2352 3493 y Fg(\023)2427 3468 y( )2532 3507 y Ff(n)2493 3531 y Fg(X)2499 3708 y Ff(i)p Fj(=1)2627 3610 y Fm(c)2663 3622 y Ff(i)2690 3610 y Fm(x)p Fq(\(0\))2843 3622 y Ff(i)2872 3468 y Fg(!)1664 3812 y Fl(\024)e Fm(B)64 b Fq(max)1892 3864 y Ff(i)p Fj(=1)p Ff(;:::;n)2139 3812 y Fq(\()p Fm(b)2207 3824 y Ff(i)2235 3812 y Fm(=c)2313 3824 y Ff(i)2340 3812 y Fq(\))p Fm(:)630 4037 y Fq(This)26 b(sho)n(ws)f(that)h(no)f(feasible)h (c)n(hoice)f(of)h Fm(x)p Fq(\(0\))g(can)f(yield)h(terminal)g(v)-5 b(alue)26 b Fm(c)3084 4007 y Ff(T)3136 4037 y Fm(x)p Fq(\()p Fm(T)12 b Fq(\))23 b(=)g Fm(b)3455 4007 y Ff(T)3506 4037 y Fm(x)p Fq(\(0\))630 4137 y(more)28 b(than)h Fm(B)18 b Fq(max)1269 4149 y Ff(i)p Fj(=1)p Ff(;:::;n)1521 4137 y Fq(\()p Fm(b)1589 4149 y Ff(i)1616 4137 y Fm(=c)1694 4149 y Ff(i)1721 4137 y Fq(\).)41 b(But)29 b(the)g(c)n(hoice)f(describ) r(ed)h(ab)r(o)n(v)n(e)e(yields)h(this)i(v)-5 b(alue)28 b(of)630 4237 y Fm(b)666 4207 y Ff(T)718 4237 y Fm(x)p Fq(\(0\),)g(and)g(so)f(m)n(ust)g(b)r(e)h(optimal.)p Black 478 4366 a(\(b\))p Black 42 w(The)g(co)r(de)f(b)r(elo)n(w)g(solv)n(es)g (the)h(problem.)p Black Black 630 4513 a Fb(\045)43 b(problem)e(data) 630 4612 y(A=[)i(0.1)f(0.1)g(0.3)h(0;)805 4712 y(0)130 b(0.2)42 b(0.4)h(0.3;)805 4812 y(0.1)f(0.3)g(0.1)h(0;)805 4911 y(0)130 b(0)g(0.2)43 b(0.1];)630 5011 y(c=[3.5;)e(0.6;)h(1.1;)g (2.0];)630 5111 y(n=length\(c\);)630 5210 y(T=10;)630 5310 y(B=1;)630 5409 y(b=)h(\(expm\(T*A\)\)'*c;)p Black 1908 5764 a Fq(15)p Black eop end %%Page: 16 16 TeXDict begin 16 15 bop Black 240 -364 a Fq(EE263)2411 b Fp(S.)26 b(Lall)103 b(2011.05.20.02)p Black 630 -45 a Fb([g,k]=max\(b./c\);)37 b(\045)43 b(get)g(max)f(value)g(and)g(index) f(k)630 55 y(opt_x0=zeros\(n,1\))o(;)630 155 y(opt_x0\(k\)=B/c\(k\);) 630 254 y(opt_term_value=b')o(*o)o(pt_)o(x0)630 354 y(opt_x0)630 553 y(\045)i(terminal)e(value)g(with)h(equal)g(mass)g(in)g(each)g (initial)f(component)630 653 y(x0mass=\(B/sum\(c\)\))o(*o)o(nes)o(\(n)o (,1)o(\);)630 752 y(term_value=b'*x0m)o(as)o(s)630 952 y(\045)i(terminal)e(value)g(with)h(equal)g(value)f(in)i(each)f(initial) f(component)630 1051 y(x0val=\(B/n\)./c;)630 1151 y(term_value=b'*x0v)o (al)630 1300 y Fq(The)28 b(optimal)f(initial)h(condition)f(is)h Fm(x)p Fq(\(0\))c(=)e(\(5)p Fm(=)p Fq(3\))p Fm(e)2286 1312 y Fj(2)2322 1300 y Fq(,)28 b(whic)n(h)f(yields)h(terminal)f(v)-5 b(alue)28 b(1168.)630 1417 y(With)35 b(equal)f(initial)h(mass)e(in)i (eac)n(h)e(comp)r(onen)n(t,)j(the)f(terminal)f(v)-5 b(alue)34 b(is)g(300;)j(with)e(equal)630 1516 y(initial)28 b(in)n(v)n(estmen)n(t) f(in)h(eac)n(h)f(comp)r(onen)n(t,)g(the)h(terminal)g(v)-5 b(alue)27 b(is)h(552.)p Black 1908 5764 a(16)p Black eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF ...
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