Slides/nom03.ps
author Christian Urban <christian dot urban at kcl dot ac dot uk>
Thu, 21 Nov 2013 14:21:10 +0000
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%!PS-Adobe-2.0
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%%Creator: dvips(k) 5.95a Copyright 2005 Radical Eye Software
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%%Title: 03.dvi
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%%Pages: 48
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%%PageOrder: Ascend
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%%BoundingBox: 0 0 595 842
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%%DocumentFonts: Times-Bold CMMIB10 ComicSansMS ComicSansMS-Bold CMBX12
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%%+ CMBSY10 CMTT12 CMMIB7 CMBX10 MSBM10 CMBSY7 CMBX7 CMBX8
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%DVIPSWebPage: (www.radicaleye.com)
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%DVIPSCommandLine: dvips 03.dvi -o 03.ps
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%DVIPSParameters: dpi=600
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%DVIPSSource:  TeX output 2005.05.03:1216
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%%BeginProcSet: tex.pro 0 0
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%!
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/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
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N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72
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mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0
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0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{
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landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize
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mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[
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matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round
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exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{
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statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0]
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N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin
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/FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array
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/BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2
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array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N
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df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A
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definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get
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}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub}
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B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr
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1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S
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/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy
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setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask
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restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn
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/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put
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}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{
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bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A
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mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{
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SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{
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userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
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1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
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index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N
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/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{
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/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)
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(LaserWriter 16/600)]{A length product length le{A length product exch 0
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exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse
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end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask
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grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot}
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imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round
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exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto
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fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p
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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}
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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{
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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
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rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end
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%%EndProcSet
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%%BeginProcSet: pstricks.pro 0 0
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%!
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% PostScript prologue for pstricks.tex.
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% Version 97 patch 4, 04/05/10
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% For distribution, see pstricks.tex.
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%
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/tx@Dict 200 dict def tx@Dict begin
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/ADict 25 dict def
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/CM { matrix currentmatrix } bind def
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/SLW /setlinewidth load def
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/CLW /currentlinewidth load def
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/CP /currentpoint load def
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/ED { exch def } bind def
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/L /lineto load def
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/T /translate load def
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/TMatrix { } def
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/RAngle { 0 } def
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/Atan { /atan load stopped { pop pop 0 } if } def
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/Div { dup 0 eq { pop } { div } ifelse } def
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/NET { neg exch neg exch T } def
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/Pyth { dup mul exch dup mul add sqrt } def
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/PtoC { 2 copy cos mul 3 1 roll sin mul } def
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/PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def }
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def
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/PathLength { flattenpath /z 0 def { /y1 ED /x1 ED /y2 y1 def /x2 x1 def
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} { /y ED /x ED PathLength@ } {} { /y y2 def /x x2 def PathLength@ }
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/pathforall load stopped { pop pop pop pop } if z } def
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/STP { .996264 dup scale } def
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/STV { SDict begin normalscale end STP  } def
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%
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%%-------------- DG begin patch 15 ---------------%%
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%/DashLine { dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def
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%PathLength } ifelse /b ED /x ED /y ED /z y x add def b a .5 sub 2 mul y
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%mul sub z Div round z mul a .5 sub 2 mul y mul add b exch Div dup y mul
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%/y ED x mul /x ED x 0 gt y 0 gt and { [ y x ] 1 a sub y mul } { [ 1 0 ]
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%0 } ifelse setdash stroke } def
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/DashLine {
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  dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def PathLength } ifelse
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  /b ED /x1 ED /y1 ED /x ED /y ED 
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  /z y x add y1 add x1 add def
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  /Coef b a .5 sub 2 mul y mul sub z Div round 
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  z mul a .5 sub 2 mul y mul add b exch Div def 
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  /y y Coef mul def /x x Coef mul def /y1 y1 Coef mul def /x1 x1 Coef mul def
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  x1 0 gt y1 0 gt x 0 gt y 0 gt and { [ y x y1 x1 ] 1 a sub y mul}
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  { [ 1 0] 0 } ifelse setdash stroke
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} def
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%%-------------- DG end patch 15 ---------------%%
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/DotLine { /b PathLength def /a ED /z ED /y CLW def /z y z add def a 0 gt
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{ /b b a div def } { a 0 eq { /b b y sub def } { a -3 eq { /b b y add
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def } if } ifelse } ifelse [ 0 b b z Div round Div dup 0 le { pop 1 } if
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] a 0 gt { 0 } { y 2 div a -2 gt { neg } if } ifelse setdash 1
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setlinecap stroke } def
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/LineFill { gsave abs CLW add /a ED a 0 dtransform round exch round exch
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2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25
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% DG/SR modification begin - Dec. 12, 1997 - Patch 2
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%itransform translate pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
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itransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
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% DG/SR modification end
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Div cvi /x1 ED /y2 y2 y1 sub def clip newpath 2 setlinecap systemdict
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/setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1
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% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
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% a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore }
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% def
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a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore
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pop pop } def
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% DG/SR modification end
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/BeginArrow { ADict begin /@mtrx CM def gsave 2 copy T 2 index sub neg
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exch 3 index sub exch Atan rotate newpath } def
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/EndArrow { @mtrx setmatrix CP grestore end } def
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/Arrow { CLW mul add dup 2 div /w ED mul dup /h ED mul /a ED { 0 h T 1 -1
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scale } if w neg h moveto 0 0 L w h L w neg a neg rlineto gsave fill
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grestore } def
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/Tbar { CLW mul add /z ED z -2 div CLW 2 div moveto z 0 rlineto stroke 0
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CLW moveto } def
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/Bracket { CLW mul add dup CLW sub 2 div /x ED mul CLW add /y ED /z CLW 2
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div def x neg y moveto x neg CLW 2 div L x CLW 2 div L x y L stroke 0
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CLW moveto } def
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/RoundBracket { CLW mul add dup 2 div /x ED mul /y ED /mtrx CM def 0 CLW
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2 div T x y mul 0 ne { x y scale } if 1 1 moveto .85 .5 .35 0 0 0
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curveto -.35 0 -.85 .5 -1 1 curveto mtrx setmatrix stroke 0 CLW moveto }
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def
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/SD { 0 360 arc fill } def
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/EndDot { { /z DS def } { /z 0 def } ifelse /b ED 0 z DS SD b { 0 z DS
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CLW sub SD } if 0 DS z add CLW 4 div sub moveto } def
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/Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
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/closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
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load } if ] cvx newpath 3 1 roll T exec } def
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/NArray { aload length 2 div dup dup cvi eq not { exch pop } if /n exch
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cvi def } def
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/NArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop } if
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f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def
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/Line { NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub
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def n { Lineto } repeat CP 4 2 roll ArrowB L pop pop } if } def
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/Arcto { /a [ 6 -2 roll ] cvx def a r /arcto load stopped { 5 } { 4 }
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ifelse { pop } repeat a } def
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/CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq
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and { pop pop /n n 1 sub def } if } def
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/Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop }
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repeat } { n 3 gt { CheckClosed } if n 2 mul -2 roll /y0 ED /x0 ED /y1
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ED /x1 ED x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1
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moveto /n n 2 sub def n { Lineto } repeat x1 y1 x0 y0 6 4 roll Lineto
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Lineto pop pop closepath } ifelse } def
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/Diamond { /mtrx CM def T rotate /h ED /w ED dup 0 eq { pop } { CLW mul
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neg /d ED /a w h Atan def /h d a sin Div h add def /w d a cos Div w add
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def } ifelse mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2
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div /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
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setmatrix } def
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% DG modification begin - Jan. 15, 1997
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%/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup 0 eq {
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%pop } { CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
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%div dup cos exch sin Div mul sub def } ifelse mark 0 d w neg d 0 h w d 0
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%d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
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%setmatrix } def
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/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup
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CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
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div dup cos exch sin Div mul sub def mark 0 d w neg d 0 h w d 0
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d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
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% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
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% setmatrix } def
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setmatrix pop } def
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% DG/SR modification end
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/CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth
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def } def
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/CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth
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def } def
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/CC { /l0 l1 def /x1 x dx sub def /y1 y dy sub def /dx0 dx1 def /dy0 dy1
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def CCA /dx dx0 l1 c exp mul dx1 l0 c exp mul add def /dy dy0 l1 c exp
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mul dy1 l0 c exp mul add def /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos
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abs b exp a mul dx dy Pyth Div 2 div def /x2 x l0 dx mul m mul sub def
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/y2 y l0 dy mul m mul sub def /dx l1 dx mul m mul neg def /dy l1 dy mul
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m mul neg def } def
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/IC { /c c 1 add def c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if }
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ifelse /a a 2 mul 3 div 45 cos b exp div def CCA /dx 0 def /dy 0 def }
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def
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/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
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/NC { CC x1 y1 x2 y2 x y curveto } def
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/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
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/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
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/NAC { x2 y2 x y curveto CC x1 y1 } def
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/EAC { x2 y2 x y ArrowB curveto pop pop } def
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/OpenCurve { NArray n 3 lt { n { pop pop } repeat } { BOC /n n 3 sub def
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    n { NC } repeat EOC } ifelse } def
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/AltCurve { { false NArray n 2 mul 2 roll [ n 2 mul 3 sub 1 roll ] aload
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/Points ED n 2 mul -2 roll } { false NArray } ifelse n 4 lt { n { pop
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pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse } def
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/ClosedCurve { NArray n 3 lt { n { pop pop } repeat } { n 3 gt {
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CheckClosed } if 6 copy n 2 mul 6 add 6 roll IC CC x y moveto n { NC }
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repeat closepath pop pop } ifelse } def
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/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
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/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
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/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore }
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def
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/FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix
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rotate matrix concatmatrix exch findfont exch makefont setfont } def
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/Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto
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x1 y1 lineto closepath } def
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/OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1
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y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div
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exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse
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/b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto
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x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath }
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ifelse } def
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/Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add
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/y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq {
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pop pop Rect } { OvalFrame } ifelse } def
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/BezierNArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop
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} if n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat f { ]
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aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def
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/OpenBezier { BezierNArray n 1 eq { pop pop } { ArrowA n 4 sub 3 idiv { 6
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2 roll 4 2 roll curveto } repeat 6 2 roll 4 2 roll ArrowB curveto }
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ifelse } def
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/ClosedBezier { BezierNArray n 1 eq { pop pop } { moveto n 1 sub 3 idiv {
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6 2 roll 4 2 roll curveto } repeat closepath } ifelse } def
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/BezierShowPoints { gsave Points aload length 2 div cvi /n ED moveto n 1
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sub { lineto } repeat CLW 2 div SLW [ 4 4 ] 0 setdash stroke grestore }
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def
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/Parab { /y0 exch def /x0 exch def /y1 exch def /x1 exch def /dx x0 x1
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sub 3 div def /dy y0 y1 sub 3 div def x0 dx sub y0 dy add x1 y1 ArrowA
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x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB curveto /Points [ x1 y1 x0
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y0 x0 2 mul x1 sub y1 ] def } def
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/Grid { newpath /a 4 string def /b ED /c ED /n ED cvi dup 1 lt { pop 1 }
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if /s ED s div dup 0 eq { pop 1 } if /dy ED s div dup 0 eq { pop 1 } if
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/dx ED dy div round dy mul /y0 ED dx div round dx mul /x0 ED dy div
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round cvi /y2 ED dx div round cvi /x2 ED dy div round cvi /y1 ED dx div
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round cvi /x1 ED /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def /w x2 x1 sub
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0 gt { 1 } { -1 } ifelse def b 0 gt { /z1 b 4 div CLW 2 div add def
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/Helvetica findfont b scalefont setfont /b b .95 mul CLW 2 div add def }
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if systemdict /setstrokeadjust known { true setstrokeadjust /t { } def }
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{ /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
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exch itransform } bind def } ifelse gsave n 0 gt { 1 setlinecap [ 0 dy n
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div ] dy n div 2 div setdash } { 2 setlinecap } ifelse /i x1 def /f y1
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dy mul n 0 gt { dy n div 2 div h mul sub } if def /g y2 dy mul n 0 gt {
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dy n div 2 div h mul add } if def x2 x1 sub w mul 1 add dup 1000 gt {
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pop 1000 } if { i dx mul dup y0 moveto b 0 gt { gsave c i a cvs dup
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stringwidth pop /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse h 0 gt {b neg}
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{z1} ifelse rmoveto show grestore } if dup t f moveto g t L stroke /i i
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w add def } repeat grestore gsave n 0 gt
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% DG/SR modification begin - Nov. 7, 1997 - Patch 1
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%{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
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{ 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
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% DG/SR modification end
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{ 2 setlinecap } ifelse /i y1 def /f x1 dx mul
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n 0 gt { dx n div 2 div w mul sub } if def /g x2 dx mul n 0 gt { dx n
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div 2 div w mul add } if def y2 y1 sub h mul 1 add dup 1000 gt { pop
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1000 } if { newpath i dy mul dup x0 exch moveto b 0 gt { gsave c i a cvs
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dup stringwidth pop /z2 ED w 0 gt {z1 z2 add neg} {z1} ifelse h 0 gt
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{z1} {b neg} ifelse rmoveto show grestore } if dup f exch t moveto g
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exch t L stroke /i i h add def } repeat grestore } def
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/ArcArrow { /d ED /b ED /a ED gsave newpath 0 -1000 moveto clip newpath 0
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1 0 0 b grestore c mul /e ED pop pop pop r a e d PtoC y add exch x add
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exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
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mul neg d } def
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/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
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/Rot { CP CP translate 3 -1 roll neg rotate NET  } def
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/RotBegin { tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 }
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def } if /TMatrix [ TMatrix CM ] cvx def /a ED a Rot /RAngle [ RAngle
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dup a add ] cvx def } def
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/RotEnd { /TMatrix [ TMatrix setmatrix ] cvx def /RAngle [ RAngle pop ]
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cvx def } def
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/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def
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/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def
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/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def
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/Uput { /a ED add 2 div /h ED 2 div /w ED /s a sin def /c a cos def /b s
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abs c abs 2 copy gt dup /q ED { pop } { exch pop } ifelse def /w1 c b
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div w mul def /h1 s b div h mul def q { w1 abs w sub dup c mul abs } {
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h1 abs h sub dup s mul abs } ifelse } def
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/UUput { /z ED abs /y ED /x ED q { x s div c mul abs y gt } { x c div s
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mul abs y gt } ifelse { x x mul y y mul sub z z mul add sqrt z add } { q
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{ x s div } { x c div } ifelse abs } ifelse a PtoC h1 add exch w1 add
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exch } def
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/BeginOL { dup (all) eq exch TheOL eq or { IfVisible not { Visible
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/IfVisible true def } if } { IfVisible { Invisible /IfVisible false def
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} if } ifelse } def
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/InitOL { /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def
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/Visible { CP OLUnit idtransform T moveto } def /Invisible { CP OLUnit
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neg exch neg exch idtransform T moveto } def /BOL { BeginOL } def
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/IfVisible true def } def
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end
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% END pstricks.pro
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%%EndProcSet
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%%BeginProcSet: pst-dots.pro 0 0
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%!PS-Adobe-2.0
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%%Title: Dot Font for PSTricks
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%%Creator: Timothy Van Zandt <tvz@Princeton.EDU>
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%%Creation Date: May 7, 1993
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%% Version 97 patch 1, 99/12/16
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%% Modified by Etienne Riga <etienne.riga@skynet.be> - Dec. 16, 1999
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%% to add /Diamond, /SolidDiamond and /BoldDiamond
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10 dict dup begin
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  /FontType 3 def
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  /FontMatrix [ .001 0 0 .001 0 0 ] def
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  /FontBBox [ 0 0 0 0 ] def
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  /Encoding 256 array def
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  0 1 255 { Encoding exch /.notdef put } for
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  Encoding
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    dup (b) 0 get /Bullet put
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    dup (c) 0 get /Circle put
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    dup (C) 0 get /BoldCircle put
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    dup (u) 0 get /SolidTriangle put
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    dup (t) 0 get /Triangle put
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    dup (T) 0 get /BoldTriangle put
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    dup (r) 0 get /SolidSquare put
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    dup (s) 0 get /Square put
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    dup (S) 0 get /BoldSquare put
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    dup (q) 0 get /SolidPentagon put
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    dup (p) 0 get /Pentagon put
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    dup (P) 0 get /BoldPentagon put
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% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga
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    dup (l) 0 get /SolidDiamond put
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    dup (d) 0 get /Diamond put
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        (D) 0 get /BoldDiamond put
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% DG/SR modification end
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  /Metrics 13 dict def
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  Metrics begin
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    /Bullet        1000   def
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    /Circle        1000   def
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    /BoldCircle    1000   def
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    /SolidTriangle 1344   def
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    /Triangle      1344   def
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    /BoldTriangle  1344   def
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    /SolidSquare    886   def
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    /Square         886   def
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    /BoldSquare     886   def
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    /SolidPentagon 1093.2 def
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    /Pentagon      1093.2 def
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    /BoldPentagon  1093.2 def
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% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga
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    /SolidDiamond  1008   def
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    /Diamond       1008   def
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    /BoldDiamond   1008   def
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% DG/SR modification end
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    /.notdef 0 def
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  end
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  /BBoxes 13 dict def
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  BBoxes begin
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    /Circle        { -550 -550 550 550 } def
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    /BoldCircle    /Circle load def
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    /Bullet        /Circle load def
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    /Triangle      { -571.5 -330 571.5 660 } def
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    /BoldTriangle  /Triangle load def
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    /SolidTriangle /Triangle load def
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    /Square        { -450 -450 450 450 } def
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    /BoldSquare    /Square load def
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    /SolidSquare   /Square load def
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    /Pentagon      { -546.6 -465 546.6 574.7 } def
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    /BoldPentagon  /Pentagon load def
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    /SolidPentagon /Pentagon load def
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% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga
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    /Diamond       { -428.5 -742.5 428.5 742.5 } def
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    /BoldDiamond   /Diamond load def
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    /SolidDiamond  /Diamond load def
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% DG/SR modification end
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    /.notdef { 0 0 0 0 } def
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  end
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  /CharProcs 20 dict def
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  CharProcs begin
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    /Adjust {
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      2 copy dtransform floor .5 add exch floor .5 add exch idtransform
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      3 -1 roll div 3 1 roll exch div exch scale
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    } def
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    /CirclePath    { 0 0 500 0 360 arc closepath } def
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    /Bullet        { 500 500 Adjust CirclePath fill } def
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    /Circle        { 500 500 Adjust CirclePath .9 .9 scale CirclePath
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                     eofill } def
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    /BoldCircle    { 500 500 Adjust CirclePath .8 .8 scale CirclePath
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                     eofill } def
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    /BoldCircle    { CirclePath .8 .8 scale CirclePath eofill } def
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    /TrianglePath  { 0  660 moveto -571.5 -330 lineto 571.5 -330 lineto
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                     closepath } def
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    /SolidTriangle { TrianglePath fill } def
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    /Triangle      { TrianglePath .85 .85 scale TrianglePath eofill } def
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    /BoldTriangle  { TrianglePath .7 .7 scale TrianglePath eofill } def
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    /SquarePath    { -450 450 moveto 450 450 lineto 450 -450 lineto
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                     -450 -450 lineto closepath } def
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    /SolidSquare   { SquarePath fill } def
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    /Square        { SquarePath .89 .89 scale SquarePath eofill } def
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    /BoldSquare    { SquarePath .78 .78 scale SquarePath eofill } def
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    /PentagonPath  {
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      -337.8 -465   moveto
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       337.8 -465   lineto
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       546.6  177.6 lineto
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         0    574.7 lineto
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      -546.6  177.6 lineto
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      closepath
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    } def
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    /SolidPentagon { PentagonPath fill } def
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    /Pentagon      { PentagonPath .89 .89 scale PentagonPath eofill } def
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    /BoldPentagon  { PentagonPath .78 .78 scale PentagonPath eofill } def
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% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga
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    /DiamondPath   { 0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto
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                     428.5 0 lineto closepath } def
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    /SolidDiamond  { DiamondPath fill } def
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    /Diamond       { DiamondPath .85 .85 scale DiamondPath eofill } def
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    /BoldDiamond   { DiamondPath .7 .7 scale DiamondPath eofill } def
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% DG/SR modification end
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    /.notdef { } def
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  end
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  /BuildGlyph {
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    exch
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    begin
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      Metrics 1 index get exec 0
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      BBoxes 3 index get exec
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      setcachedevice
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      CharProcs begin load exec end
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    end
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  } def
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  /BuildChar {
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    1 index /Encoding get exch get
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    1 index /BuildGlyph get exec
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  } bind def
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end
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   432
/PSTricksDotFont exch definefont pop
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   433
%END pst-dots.pro
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   434
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   435
%%EndProcSet
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   436
%%BeginProcSet: pst-node.pro 0 0
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   437
%!
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diff changeset
   438
% PostScript prologue for pst-node.tex.
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diff changeset
   439
% Version 97 patch 1, 97/05/09.
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diff changeset
   440
% For distribution, see pstricks.tex.
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diff changeset
   441
%
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parents:
diff changeset
   442
/tx@NodeDict 400 dict def tx@NodeDict begin
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parents:
diff changeset
   443
tx@Dict begin /T /translate load def end
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   444
/NewNode { gsave /next ED dict dup 3 1 roll def exch { dup 3 1 roll def }
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parents:
diff changeset
   445
if begin tx@Dict begin STV CP T exec end /NodeMtrx CM def next end
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   446
grestore } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   447
/InitPnode { /Y ED /X ED /NodePos { NodeSep Cos mul NodeSep Sin mul } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   448
} def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   449
/InitCnode { /r ED /Y ED /X ED /NodePos { NodeSep r add dup Cos mul exch
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parents:
diff changeset
   450
Sin mul } def } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   451
/GetRnodePos { Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def
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parents:
diff changeset
   452
} ifelse Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def }
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   453
ifelse dx Sin mul abs dy Cos mul abs gt { dy Cos mul Sin div dy } { dx
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   454
dup Sin mul Cos Div } ifelse } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   455
/InitRnode { /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub
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parents:
diff changeset
   456
/u ED /NodePos { GetRnodePos } def } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   457
/DiaNodePos { w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   458
Cos mul exch Sin mul } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   459
/TriNodePos { Sin s lt { d NodeSep sub dup Cos mul Sin Div exch } { w h
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   460
mul w Sin mul h Cos abs mul add Div NodeSep add dup Cos mul exch Sin mul
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   461
} ifelse } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   462
/InitTriNode { sub 2 div exch 2 div exch 2 copy T 2 copy 4 index index /d
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   463
ED pop pop pop pop -90 mul rotate /NodeMtrx CM def /X 0 def /Y 0 def d
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   464
sub abs neg /d ED d add /h ED 2 div h mul h d sub Div /w ED /s d w Atan
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   465
sin def /NodePos { TriNodePos } def } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   466
/OvalNodePos { /ww w NodeSep add def /hh h NodeSep add def Sin ww mul Cos
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   467
hh mul Atan dup cos ww mul exch sin hh mul } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   468
/GetCenter { begin X Y NodeMtrx transform CM itransform end } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   469
/XYPos { dup sin exch cos Do /Cos ED /Sin ED /Dist ED Cos 0 gt { Dist
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   470
Dist Sin mul Cos div } { Cos 0 lt { Dist neg Dist Sin mul Cos div neg }
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   471
{ 0 Dist Sin mul } ifelse } ifelse Do } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   472
/GetEdge { dup 0 eq { pop begin 1 0 NodeMtrx dtransform CM idtransform
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   473
exch atan sub dup sin /Sin ED cos /Cos ED /NodeSep ED NodePos NodeMtrx
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   474
dtransform CM idtransform end } { 1 eq {{exch}} {{}} ifelse /Do ED pop
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   475
XYPos } ifelse } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   476
/AddOffset { 1 index 0 eq { pop pop } { 2 copy 5 2 roll cos mul add 4 1
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   477
roll sin mul sub exch } ifelse } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   478
/GetEdgeA { NodeSepA AngleA NodeA NodeSepTypeA GetEdge OffsetA AngleA
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   479
AddOffset yA add /yA1 ED xA add /xA1 ED } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   480
/GetEdgeB { NodeSepB AngleB NodeB NodeSepTypeB GetEdge OffsetB AngleB
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   481
AddOffset yB add /yB1 ED xB add /xB1 ED } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   482
/GetArmA { ArmTypeA 0 eq { /xA2 ArmA AngleA cos mul xA1 add def /yA2 ArmA
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   483
AngleA sin mul yA1 add def } { ArmTypeA 1 eq {{exch}} {{}} ifelse /Do ED
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   484
ArmA AngleA XYPos OffsetA AngleA AddOffset yA add /yA2 ED xA add /xA2 ED
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   485
} ifelse } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   486
/GetArmB { ArmTypeB 0 eq { /xB2 ArmB AngleB cos mul xB1 add def /yB2 ArmB
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   487
AngleB sin mul yB1 add def } { ArmTypeB 1 eq {{exch}} {{}} ifelse /Do ED
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   488
ArmB AngleB XYPos OffsetB AngleB AddOffset yB add /yB2 ED xB add /xB2 ED
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   489
} ifelse } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   490
/InitNC { /b ED /a ED /NodeSepTypeB ED /NodeSepTypeA ED /NodeSepB ED
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   491
/NodeSepA ED /OffsetB ED /OffsetA ED tx@NodeDict a known tx@NodeDict b
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   492
known and dup { /NodeA a load def /NodeB b load def NodeA GetCenter /yA
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   493
ED /xA ED NodeB GetCenter /yB ED /xB ED } if } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   494
/LPutLine { 4 copy 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED 1 t sub
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   495
mul 3 1 roll 1 t sub mul 4 1 roll t mul add /Y ED t mul add /X ED } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   496
/LPutLines { mark LPutVar counttomark 2 div 1 sub /n ED t floor dup n gt
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   497
{ pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse cvi 2 mul { pop
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   498
} repeat LPutLine cleartomark } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   499
/BezierMidpoint { /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   500
/t ED /cx x1 x0 sub 3 mul def /cy y1 y0 sub 3 mul def /bx x2 x1 sub 3
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   501
mul cx sub def /by y2 y1 sub 3 mul cy sub def /ax x3 x0 sub cx sub bx
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   502
sub def /ay y3 y0 sub cy sub by sub def ax t 3 exp mul bx t t mul mul
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   503
add cx t mul add x0 add ay t 3 exp mul by t t mul mul add cy t mul add
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   504
y0 add 3 ay t t mul mul mul 2 by t mul mul add cy add 3 ax t t mul mul
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   505
mul 2 bx t mul mul add cx add atan /NAngle ED /Y ED /X ED } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   506
/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   507
} def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   508
/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   509
/NAngle yyB yyA sub xxB xxA sub Atan def } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   510
/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd  } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   511
/HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   512
} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   513
} { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   514
} def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   515
/VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   516
} def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   517
/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   518
/NAngle yyB yyA sub xxB xxA sub Atan def } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   519
/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd  } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   520
/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   521
} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check {
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   522
exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   523
VPosEnd  } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   524
/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   525
roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   526
def grestore exec /LPutVar /SaveLPutVar load def } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   527
/NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   528
GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos {
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   529
LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos {
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   530
LPutVar VPutLine } def LPutVar } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   531
/NCLine { NCCoor tx@Dict begin ArrowA CP 4 2 roll ArrowB lineto pop pop
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   532
end } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   533
/NCLines { false NArray n 0 eq { NCLine } { 2 copy yA sub exch xA sub
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   534
Atan /AngleA ED n 2 mul dup index exch index yB sub exch xB sub Atan
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   535
/AngleB ED GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   536
yA1 ] cvx def mark LPutVar tx@Dict begin false Line end /LPutPos {
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   537
LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   538
ifelse } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   539
/NCCurve { GetEdgeA GetEdgeB xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   540
roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   541
GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   542
begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ]
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   543
cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   544
} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   545
/NCAngles { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   546
def xA2 yA2 mtrx transform pop xB2 yB2 mtrx transform exch pop mtrx
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   547
itransform /y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA2
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   548
yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end /LPutVar [ xB1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   549
yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { LPutLines } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   550
/HPutPos { HPutLines } def /VPutPos { VPutLines } def } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   551
/NCAngle { GetEdgeA GetEdgeB GetArmB /mtrx AngleA matrix rotate def xB2
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   552
yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   553
/y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA1 yA1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   554
tx@Dict begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ]
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   555
cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos {
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   556
VPutLines } def } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   557
/NCBar { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   558
xA2 yA2 mtrx itransform pop xB2 yB2 mtrx itransform pop sub dup 0 mtrx
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   559
transform 3 -1 roll 0 gt { /yB2 exch yB2 add def /xB2 exch xB2 add def }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   560
{ /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse mark ArmB
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   561
0 ne { xB1 yB1 } if xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   562
begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   563
def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos {
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   564
VPutLines } def } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   565
/NCDiag { GetEdgeA GetEdgeB GetArmA GetArmB mark ArmB 0 ne { xB1 yB1 } if
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   566
xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   567
/LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def /LPutPos {
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   568
LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   569
def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   570
/NCDiagg { GetEdgeA GetArmA yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   571
GetEdgeB mark xB1 yB1 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   572
false Line end /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def /LPutPos {
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   573
LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   574
def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   575
/NCLoop { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   576
def xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED /xB3 xB2 yB2
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   577
mtrx transform pop def xB3 yA3 mtrx itransform /yB3 ED /xB3 ED xA3 yA3
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   578
mtrx itransform /yA3 ED /xA3 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   579
xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   580
Line end /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ]
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   581
cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos {
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   582
VPutLines } def } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   583
% DG/SR modification begin - May 9, 1997 - Patch 1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   584
%/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   585
%r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   586
%exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   587
%mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   588
/NCCircle { NodeSepA 0 NodeA 0 GetEdge pop 2 div dup 2 exp r
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   589
r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   590
exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   591
mul add dup 5 1 roll 90 sub PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   592
% DG/SR modification end
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   593
} def /HPutPos { LPutPos } def /VPutPos { LPutPos } def r AngleA 90 sub a add
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   594
AngleA 270 add a sub tx@Dict begin /angleB ED /angleA ED /r ED /c 57.2957 r
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   595
Div def /y ED /x ED } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   596
/NCBox { /d ED /h ED /AngleB yB yA sub xB xA sub Atan def /AngleA AngleB
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   597
180 add def GetEdgeA GetEdgeB /dx d AngleB sin mul def /dy d AngleB cos
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   598
mul neg def /hx h AngleB sin mul neg def /hy h AngleB cos mul def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   599
/LPutVar [ xA1 hx add yA1 hy add xB1 hx add yB1 hy add xB1 dx add yB1 dy
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   600
add xA1 dx add yA1 dy add ] cvx def /LPutPos { LPutLines } def /HPutPos
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   601
{ xB yB xA yA LPutLine } def /VPutPos { HPutPos } def mark LPutVar
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   602
tx@Dict begin false Polygon end } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   603
/NCArcBox { /l ED neg /d ED /h ED /a ED /AngleA yB yA sub xB xA sub Atan
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   604
def /AngleB AngleA 180 add def /tA AngleA a sub 90 add def /tB tA a 2
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   605
mul add def /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   606
/x0 xA r tA cos mul add def /y0 yA r tA sin mul add def /c 57.2958 r div
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   607
def /AngleA AngleA a sub 180 add def /AngleB AngleB a add 180 add def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   608
GetEdgeA GetEdgeB /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   609
sub def /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def l 0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   610
eq { x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   611
{ x0 y0 translate /tA AngleA l c mul add def /tB AngleB l c mul sub def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   612
0 0 r h add tA tB arc r h add AngleB PtoC r d add AngleB PtoC 2 copy 6 2
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   613
roll l arcto 4 { pop } repeat r d add tB PtoC l arcto 4 { pop } repeat 0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   614
0 r d add tB tA arcn r d add AngleA PtoC r h add AngleA PtoC 2 copy 6 2
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   615
roll l arcto 4 { pop } repeat r h add tA PtoC l arcto 4 { pop } repeat }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   616
ifelse closepath /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def /LPutPos
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   617
{ LPutVar /d ED /h ED /AngleB ED /AngleA ED /r ED /y0 ED /x0 ED t 1 le {
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   618
r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   619
{ t 2 lt { /NAngle AngleB 180 add def r 2 t sub h mul t 1 sub d mul add
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   620
add AngleB PtoC } { t 3 lt { r d add AngleB 3 t sub mul AngleA 2 t sub
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   621
mul add dup 90 sub /NAngle ED PtoC } { /NAngle AngleA 180 add def r 4 t
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   622
sub d mul t 3 sub h mul add add AngleA PtoC } ifelse } ifelse } ifelse
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   623
y0 add /Y ED x0 add /X ED } def /HPutPos { LPutPos } def /VPutPos {
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   624
LPutPos } def } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   625
/Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yB
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   626
sub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   627
ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xB
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   628
w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   629
{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   630
{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   631
def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   632
/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   633
/LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   634
exch X sub neg exch moveto setmatrix CP grestore } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   635
/LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   636
def } ifelse LPutCoor  } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   637
/HPutAdjust { Sin Cos mul 0 eq { 0 } { d Cos mul Sin div flag not { neg }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   638
if h Cos mul Sin div flag { neg } if 2 copy gt { pop } { exch pop }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   639
ifelse } ifelse s add flag { r add neg } { l add } ifelse X add /X ED }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   640
def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   641
/VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   642
r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   643
ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   644
def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   645
end
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   646
% END pst-node.pro
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   647
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   648
%%EndProcSet
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   649
%%BeginProcSet: pst-text.pro 0 0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   650
%!
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   651
% PostScript header file pst-text.pro
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   652
% Version 97, 94/04/20; patched MV 10-09-99 00:36
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   653
% For distribution, see pstricks.tex.
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   654
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   655
/tx@TextPathDict 40 dict def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   656
tx@TextPathDict begin
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   657
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   658
% Syntax:  <dist> PathPosition -
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   659
% Function: Searches for position of currentpath distance <dist> from
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   660
%           beginning. Sets (X,Y)=position, and Angle=tangent.
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   661
/PathPosition
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   662
{ /targetdist exch def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   663
  /pathdist 0 def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   664
  /continue true def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   665
  /X { newx } def /Y { newy } def /Angle 0 def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   666
  gsave
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   667
    flattenpath
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   668
    { movetoproc }  { linetoproc } { } { firstx firsty linetoproc }
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   669
    /pathforall load stopped { pop pop pop pop /X 0 def /Y 0 def } if
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   670
  grestore
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   671
} def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   672
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   673
/movetoproc { continue { @movetoproc } { pop pop } ifelse } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   674
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   675
/@movetoproc
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   676
{ /newy exch def /newx exch def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   677
  /firstx newx def /firsty newy def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   678
} def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   679
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   680
/linetoproc { continue { @linetoproc } { pop pop } ifelse } def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   681
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   682
/@linetoproc
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   683
{
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   684
  /oldx newx def /oldy newy def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   685
  /newy exch def /newx exch def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   686
  /dx newx oldx sub def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   687
  /dy newy oldy sub def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   688
  /dist dx dup mul dy dup mul add sqrt def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   689
  /pathdist pathdist dist add def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   690
  pathdist targetdist ge
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   691
  { pathdist targetdist sub dist div dup
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   692
    dy mul neg newy add /Y exch def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   693
    dx mul neg newx add /X exch def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   694
    /Angle dy dx atan def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   695
    /continue false def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   696
  } if
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   697
} def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   698
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   699
/TextPathShow
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   700
{ /String exch def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   701
  /CharCount 0 def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   702
  String length
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   703
  { String CharCount 1 getinterval ShowChar
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   704
    /CharCount CharCount 1 add def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   705
  } repeat
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   706
} def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   707
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   708
% Syntax: <pathlength> <position> InitTextPath -
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   709
/InitTextPath
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   710
{ gsave
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   711
    currentpoint /Y exch def /X exch def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   712
    exch X Hoffset sub sub mul
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   713
    Voffset Hoffset sub add
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   714
    neg X add /Hoffset exch def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   715
    /Voffset Y def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   716
  grestore
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   717
} def
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parents:
diff changeset
   718
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parents:
diff changeset
   719
/Transform
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parents:
diff changeset
   720
{ PathPosition
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   721
  dup
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   722
  Angle cos mul Y add exch
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   723
  Angle sin mul neg X add exch
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   724
  translate
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   725
  Angle rotate
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   726
} def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   727
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   728
/ShowChar
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   729
{ /Char exch def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   730
  gsave
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   731
    Char end stringwidth
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   732
    tx@TextPathDict begin
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   733
    2 div /Sy exch def 2 div /Sx exch def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   734
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Christian Urban <urbanc@in.tum.de>
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diff changeset
   735
%%%  MV 10-09-99 00:36
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parents:
diff changeset
   736
    /sc?currentpoint where {pop sc?currentpoint} {currentpoint} ifelse
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   737
%   currentpoint
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parents:
diff changeset
   738
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   739
    Voffset sub Sy add exch
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   740
    Hoffset sub Sx add
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Christian Urban <urbanc@in.tum.de>
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diff changeset
   741
    Transform
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   742
    Sx neg Sy neg moveto
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   743
    Char end tx@TextPathSavedShow
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Christian Urban <urbanc@in.tum.de>
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   744
    tx@TextPathDict begin
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   745
  grestore
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   746
  Sx 2 mul Sy 2 mul rmoveto
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   747
} def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   748
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   749
end
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   750
% END pst-text.pro
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   751
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   752
%%EndProcSet
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Christian Urban <urbanc@in.tum.de>
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diff changeset
   753
%%BeginProcSet: 8r.enc 0 0
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parents:
diff changeset
   754
% File 8r.enc  TeX Base 1 Encoding  Revision 2.0  2002-10-30
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parents:
diff changeset
   755
%
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   756
% @@psencodingfile@{
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   757
%   author    = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry,
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   758
%                W. Schmidt, P. Lehman",
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Christian Urban <urbanc@in.tum.de>
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diff changeset
   759
%   version   = "2.0",
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   760
%   date      = "30 October 2002",
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   761
%   filename  = "8r.enc",
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   762
%   email     = "tex-fonts@@tug.org",
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   763
%   docstring = "This is the encoding vector for Type1 and TrueType
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   764
%                fonts to be used with TeX.  This file is part of the
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   765
%                PSNFSS bundle, version 9"
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   766
% @}
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   767
% 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   768
% The idea is to have all the characters normally included in Type 1 fonts
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   769
% available for typesetting. This is effectively the characters in Adobe
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   770
% Standard encoding, ISO Latin 1, Windows ANSI including the euro symbol,
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   771
% MacRoman, and some extra characters from Lucida.
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   772
% 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   773
% Character code assignments were made as follows:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   774
% 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   775
% (1) the Windows ANSI characters are almost all in their Windows ANSI
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   776
% positions, because some Windows users cannot easily reencode the
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   777
% fonts, and it makes no difference on other systems. The only Windows
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   778
% ANSI characters not available are those that make no sense for
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   779
% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   780
% (173). quotesingle and grave are moved just because it's such an
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   781
% irritation not having them in TeX positions.
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   782
% 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   783
% (2) Remaining characters are assigned arbitrarily to the lower part
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   784
% of the range, avoiding 0, 10 and 13 in case we meet dumb software.
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   785
% 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   786
% (3) Y&Y Lucida Bright includes some extra text characters; in the
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   787
% hopes that other PostScript fonts, perhaps created for public
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   788
% consumption, will include them, they are included starting at 0x12.
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   789
% These are /dotlessj /ff /ffi /ffl.
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   790
% 
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   791
% (4) hyphen appears twice for compatibility with both ASCII and Windows.
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   792
%
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   793
% (5) /Euro was assigned to 128, as in Windows ANSI
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   794
%
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   795
% (6) Missing characters from MacRoman encoding incorporated as follows:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   796
%
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   797
%     PostScript      MacRoman        TeXBase1
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   798
%     --------------  --------------  --------------
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   799
%     /notequal       173             0x16
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   800
%     /infinity       176             0x17
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   801
%     /lessequal      178             0x18
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   802
%     /greaterequal   179             0x19
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   803
%     /partialdiff    182             0x1A
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   804
%     /summation      183             0x1B
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   805
%     /product        184             0x1C
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   806
%     /pi             185             0x1D
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   807
%     /integral       186             0x81
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   808
%     /Omega          189             0x8D
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   809
%     /radical        195             0x8E
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   810
%     /approxequal    197             0x8F
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   811
%     /Delta          198             0x9D
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   812
%     /lozenge        215             0x9E
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   813
%
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   814
/TeXBase1Encoding [
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   815
% 0x00
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   816
 /.notdef /dotaccent /fi /fl
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   817
 /fraction /hungarumlaut /Lslash /lslash
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   818
 /ogonek /ring /.notdef /breve
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   819
 /minus /.notdef /Zcaron /zcaron
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   820
% 0x10
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   821
 /caron /dotlessi /dotlessj /ff
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   822
 /ffi /ffl /notequal /infinity
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   823
 /lessequal /greaterequal /partialdiff /summation
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   824
 /product /pi /grave /quotesingle
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   825
% 0x20
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   826
 /space /exclam /quotedbl /numbersign
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   827
 /dollar /percent /ampersand /quoteright
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   828
 /parenleft /parenright /asterisk /plus
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   829
 /comma /hyphen /period /slash
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   830
% 0x30
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   831
 /zero /one /two /three
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   832
 /four /five /six /seven
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   833
 /eight /nine /colon /semicolon
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   834
 /less /equal /greater /question
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   835
% 0x40
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   836
 /at /A /B /C
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   837
 /D /E /F /G
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   838
 /H /I /J /K
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   839
 /L /M /N /O
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   840
% 0x50
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   841
 /P /Q /R /S
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   842
 /T /U /V /W
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   843
 /X /Y /Z /bracketleft
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   844
 /backslash /bracketright /asciicircum /underscore
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   845
% 0x60
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   846
 /quoteleft /a /b /c
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   847
 /d /e /f /g
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   848
 /h /i /j /k
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   849
 /l /m /n /o
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   850
% 0x70
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   851
 /p /q /r /s
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   852
 /t /u /v /w
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   853
 /x /y /z /braceleft
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   854
 /bar /braceright /asciitilde /.notdef
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   855
% 0x80
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   856
 /Euro /integral /quotesinglbase /florin
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   857
 /quotedblbase /ellipsis /dagger /daggerdbl
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   858
 /circumflex /perthousand /Scaron /guilsinglleft
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   859
 /OE /Omega /radical /approxequal
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   860
% 0x90
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   861
 /.notdef /.notdef /.notdef /quotedblleft
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   862
 /quotedblright /bullet /endash /emdash
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   863
 /tilde /trademark /scaron /guilsinglright
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   864
 /oe /Delta /lozenge /Ydieresis
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   865
% 0xA0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   866
 /.notdef /exclamdown /cent /sterling
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   867
 /currency /yen /brokenbar /section
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   868
 /dieresis /copyright /ordfeminine /guillemotleft
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   869
 /logicalnot /hyphen /registered /macron
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   870
% 0xD0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   871
 /degree /plusminus /twosuperior /threesuperior
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   872
 /acute /mu /paragraph /periodcentered
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   873
 /cedilla /onesuperior /ordmasculine /guillemotright
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   874
 /onequarter /onehalf /threequarters /questiondown
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   875
% 0xC0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   876
 /Agrave /Aacute /Acircumflex /Atilde
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   877
 /Adieresis /Aring /AE /Ccedilla
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   878
 /Egrave /Eacute /Ecircumflex /Edieresis
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   879
 /Igrave /Iacute /Icircumflex /Idieresis
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   880
% 0xD0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   881
 /Eth /Ntilde /Ograve /Oacute
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   882
 /Ocircumflex /Otilde /Odieresis /multiply
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   883
 /Oslash /Ugrave /Uacute /Ucircumflex
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   884
 /Udieresis /Yacute /Thorn /germandbls
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   885
% 0xE0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   886
 /agrave /aacute /acircumflex /atilde
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   887
 /adieresis /aring /ae /ccedilla
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   888
 /egrave /eacute /ecircumflex /edieresis
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   889
 /igrave /iacute /icircumflex /idieresis
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   890
% 0xF0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   891
 /eth /ntilde /ograve /oacute
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   892
 /ocircumflex /otilde /odieresis /divide
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   893
 /oslash /ugrave /uacute /ucircumflex
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   894
 /udieresis /yacute /thorn /ydieresis
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   895
] def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   896
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   897
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   898
%%EndProcSet
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   899
%%BeginProcSet: texmital.enc 0 0
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   900
% TeX math italic encoding.
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   901
% No ligatures or kerns.
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   902
% 
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   903
/TeXMathItalicEncoding [          % now 256 chars follow
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   904
% 0x0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   905
/Gamma
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   906
/Delta
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   907
/Theta
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   908
/Lambda
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   909
/Xi
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   910
/Pi
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   911
/Sigma
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   912
/Upsilon
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   913
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   914
% 0x8
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   915
/Phi
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   916
/Psi
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   917
/Omega
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   918
/alpha
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   919
/beta
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   920
/gamma
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   921
/delta
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   922
/epsilon1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   923
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   924
% 0x10
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   925
/zeta
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   926
/eta
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   927
/theta
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   928
/iota
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   929
/kappa
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   930
/lambda
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   931
/mu
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   932
/nu
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   933
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   934
% 0x18
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   935
/xi
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   936
/pi
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   937
/rho
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   938
/sigma
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   939
/tau
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   940
/upsilon
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   941
/phi
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   942
/chi
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   943
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   944
% 0x20
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   945
/psi
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   946
/omega
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   947
/epsilon
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   948
/theta1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   949
/pi1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   950
/rho1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   951
/sigma1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   952
/phi1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   953
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   954
% 0x28
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   955
/arrowlefttophalf
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   956
/arrowleftbothalf
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   957
/arrowrighttophalf
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   958
/arrowrightbothalf
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   959
/arrowhookleft
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   960
/arrowhookright
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   961
/triangleright
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   962
/triangleleft
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   963
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   964
% 0x30
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   965
/zerooldstyle
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   966
/oneoldstyle
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   967
/twooldstyle
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   968
/threeoldstyle
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   969
/fouroldstyle
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   970
/fiveoldstyle
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   971
/sixoldstyle
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   972
/sevenoldstyle
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   973
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   974
% 0x38
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   975
/eightoldstyle
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   976
/nineoldstyle
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   977
/period
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   978
/comma
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   979
/less
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   980
/slash
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   981
/greater
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   982
/star
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   983
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   984
% 0x40
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   985
/partialdiff
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   986
/A
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   987
/B
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   988
/C
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   989
/D
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   990
/E
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   991
/F
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   992
/G
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   993
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   994
% 0x48
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   995
/H
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   996
/I
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   997
/J
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   998
/K
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
   999
/L
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1000
/M
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1001
/N
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1002
/O
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1003
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1004
% 0x50
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1005
/P
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1006
/Q
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1007
/R
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1008
/S
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1009
/T
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1010
/U
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1011
/V
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1012
/W
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1013
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1014
% 0x58
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1015
/X
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1016
/Y
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1017
/Z
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1018
/flat
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1019
/natural
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1020
/sharp
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1021
/slurbelow
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1022
/slurabove
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1023
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1024
% 0x60
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1025
/lscript
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1026
/a
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1027
/b
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1028
/c
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1029
/d
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1030
/e
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1031
/f
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1032
/g
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1033
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1034
% 0x68
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1035
/h
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1036
/i
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1037
/j
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1038
/k
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1039
/l
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1040
/m
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1041
/n
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1042
/o
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1043
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1044
% 0x70
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parents:
diff changeset
  1045
/p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1046
/q
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1047
/r
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1048
/s
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1049
/t
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1050
/u
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1051
/v
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parents:
diff changeset
  1052
/w
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1053
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1054
% 0x78
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1055
/x
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1056
/y
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1057
/z
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1058
/dotlessi
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1059
/dotlessj
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1060
/weierstrass
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1061
/vector
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1062
/tie
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1063
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1064
% Have to have 128 .notdef's now to fill things out.
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1065
% 
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1066
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1067
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1068
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1069
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1070
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1071
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1072
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1073
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1074
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1075
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1076
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1077
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1078
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1079
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1080
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1081
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1082
] def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1083
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Christian Urban <urbanc@in.tum.de>
parents:
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  1084
%%EndProcSet
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1085
%%BeginProcSet: texps.pro 0 0
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1086
%!
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1087
TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1088
index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1089
exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1090
ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1091
pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1092
div def}ifelse}forall Metrics/Metrics currentdict end def}{{1 index type
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1093
/nametype eq{exit}if exch pop}loop}ifelse[2 index currentdict end
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1094
definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1095
sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1096
mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1097
exch{dup CharStrings exch known not{pop/.notdef/Encoding true def}if}
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1098
forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def}def
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1099
end
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1100
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1101
%%EndProcSet
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1102
%%BeginProcSet: special.pro 0 0
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1103
%!
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1104
TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1105
/vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1106
/rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1107
/@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1108
/hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1109
X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1110
/@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1111
/urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1112
{userdict/md get type/dicttype eq{userdict begin md length 10 add md
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1113
maxlength ge{/md md dup length 20 add dict copy def}if end md begin
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1114
/letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1115
atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1116
itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1117
transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1118
curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1119
pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack}
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1120
if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1121
-1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1122
get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1123
yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1124
neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1125
noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1126
90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1127
neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1128
1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1129
2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1130
-1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1131
TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1132
Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1133
}if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1134
save N userdict maxlength dict begin/magscale true def normalscale
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1135
currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1136
/psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1137
psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1138
psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1139
TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1140
@MacSetUp}N/doclip{psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1141
newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1142
closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1143
/@beginspecial{SDict begin/SpecialSave save N gsave normalscale
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1144
currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N}
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1145
N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1146
neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1147
rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1148
scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1149
lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1150
ury lineto llx ury lineto closepath clip}if/showpage{}N/erasepage{}N
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1151
/setpagedevice{pop}N/copypage{}N newpath}N/@endspecial{count ocount sub{
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1152
pop}repeat countdictstack dcount sub{end}repeat grestore SpecialSave
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1153
restore end}N/@defspecial{SDict begin}N/@fedspecial{end}B/li{lineto}B
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1154
/rl{rlineto}B/rc{rcurveto}B/np{/SaveX currentpoint/SaveY X N 1
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1155
setlinecap newpath}N/st{stroke SaveX SaveY moveto}N/fil{fill SaveX SaveY
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1156
moveto}N/ellipse{/endangle X/startangle X/yrad X/xrad X/savematrix
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1157
matrix currentmatrix N TR xrad yrad scale 0 0 1 startangle endangle arc
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1158
savematrix setmatrix}N end
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1159
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1160
%%EndProcSet
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1161
%%BeginProcSet: color.pro 0 0
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1162
%!
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1163
TeXDict begin/setcmykcolor where{pop}{/setcmykcolor{dup 10 eq{pop
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1164
setrgbcolor}{1 sub 4 1 roll 3{3 index add neg dup 0 lt{pop 0}if 3 1 roll
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1165
}repeat setrgbcolor pop}ifelse}B}ifelse/TeXcolorcmyk{setcmykcolor}def
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1166
/TeXcolorrgb{setrgbcolor}def/TeXcolorgrey{setgray}def/TeXcolorgray{
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1167
setgray}def/TeXcolorhsb{sethsbcolor}def/currentcmykcolor where{pop}{
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1168
/currentcmykcolor{currentrgbcolor 10}B}ifelse/DC{exch dup userdict exch
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1169
known{pop pop}{X}ifelse}B/GreenYellow{0.15 0 0.69 0 setcmykcolor}DC
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1170
/Yellow{0 0 1 0 setcmykcolor}DC/Goldenrod{0 0.10 0.84 0 setcmykcolor}DC
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1171
/Dandelion{0 0.29 0.84 0 setcmykcolor}DC/Apricot{0 0.32 0.52 0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1172
setcmykcolor}DC/Peach{0 0.50 0.70 0 setcmykcolor}DC/Melon{0 0.46 0.50 0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1173
setcmykcolor}DC/YellowOrange{0 0.42 1 0 setcmykcolor}DC/Orange{0 0.61
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1174
0.87 0 setcmykcolor}DC/BurntOrange{0 0.51 1 0 setcmykcolor}DC
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1175
/Bittersweet{0 0.75 1 0.24 setcmykcolor}DC/RedOrange{0 0.77 0.87 0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1176
setcmykcolor}DC/Mahogany{0 0.85 0.87 0.35 setcmykcolor}DC/Maroon{0 0.87
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1177
0.68 0.32 setcmykcolor}DC/BrickRed{0 0.89 0.94 0.28 setcmykcolor}DC/Red{
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1178
0 1 1 0 setcmykcolor}DC/OrangeRed{0 1 0.50 0 setcmykcolor}DC/RubineRed{
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1179
0 1 0.13 0 setcmykcolor}DC/WildStrawberry{0 0.96 0.39 0 setcmykcolor}DC
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1180
/Salmon{0 0.53 0.38 0 setcmykcolor}DC/CarnationPink{0 0.63 0 0
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1181
setcmykcolor}DC/Magenta{0 1 0 0 setcmykcolor}DC/VioletRed{0 0.81 0 0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1182
setcmykcolor}DC/Rhodamine{0 0.82 0 0 setcmykcolor}DC/Mulberry{0.34 0.90
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1183
0 0.02 setcmykcolor}DC/RedViolet{0.07 0.90 0 0.34 setcmykcolor}DC
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1184
/Fuchsia{0.47 0.91 0 0.08 setcmykcolor}DC/Lavender{0 0.48 0 0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1185
setcmykcolor}DC/Thistle{0.12 0.59 0 0 setcmykcolor}DC/Orchid{0.32 0.64 0
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1186
0 setcmykcolor}DC/DarkOrchid{0.40 0.80 0.20 0 setcmykcolor}DC/Purple{
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1187
0.45 0.86 0 0 setcmykcolor}DC/Plum{0.50 1 0 0 setcmykcolor}DC/Violet{
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1188
0.79 0.88 0 0 setcmykcolor}DC/RoyalPurple{0.75 0.90 0 0 setcmykcolor}DC
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1189
/BlueViolet{0.86 0.91 0 0.04 setcmykcolor}DC/Periwinkle{0.57 0.55 0 0
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1190
setcmykcolor}DC/CadetBlue{0.62 0.57 0.23 0 setcmykcolor}DC
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1191
/CornflowerBlue{0.65 0.13 0 0 setcmykcolor}DC/MidnightBlue{0.98 0.13 0
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1192
0.43 setcmykcolor}DC/NavyBlue{0.94 0.54 0 0 setcmykcolor}DC/RoyalBlue{1
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  1193
0.50 0 0 setcmykcolor}DC/Blue{1 1 0 0 setcmykcolor}DC/Cerulean{0.94 0.11
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Christian Urban <urbanc@in.tum.de>
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  2004
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parents:
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  2005
AC352D7E158479690A65BADDF308FE8646CC9F7F9278D2D6351C7D2E99D1B7F3
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parents:
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  2006
CC72C14A51E5FBD8CF4C711837FD7A503D12BF9299A60EDD050607C8F4BED761
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parents:
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  2007
3B8EB0D500F9C7D1992C34836FF555BC8ECCE797055C2AEBD98252F91577B6A8
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parents:
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  2008
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Christian Urban <urbanc@in.tum.de>
parents:
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  2009
996CD23D249826FEB6BDFD1CF5E7909EC42A6F27A332D0972502A73502BA7583
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Christian Urban <urbanc@in.tum.de>
parents:
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  2010
43359C0FAE6AD7E5C50DB83D89E41436E9B6E6A433FB66A760E7446BFFD2E23B
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Christian Urban <urbanc@in.tum.de>
parents:
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  2011
11B8C4699E2BB82E710213E828D0C4AD8D8338F01265F97E9885CC4B22B01246
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Christian Urban <urbanc@in.tum.de>
parents:
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  2012
ED804F644355C50833B29C3ADEF5F967490472A0BF0D0F00200AF3310F1DC8A3
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Christian Urban <urbanc@in.tum.de>
parents:
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  2013
76CB65D24E8C882BB8EF6FF1C0329A12953397A7CA11157DEC33F00F7D31BD3D
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Christian Urban <urbanc@in.tum.de>
parents:
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  2014
25C5FE30470A10F89BDB167701840AB5B33A9BE5E2CBE36570F2FC2F3D7959F2
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Christian Urban <urbanc@in.tum.de>
parents:
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  2015
A02C349E1213D2D47BFD5ED100B241B2E1DD52A8E4A735447F48E7C0AA0AEE99
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Christian Urban <urbanc@in.tum.de>
parents:
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  2016
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parents:
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  2017
2D0FAE213462BEBFC320192B2A9A3D45641B8A46807AC6CCB082690B5DE0BD0E
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Christian Urban <urbanc@in.tum.de>
parents:
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  2018
F4A7CD959EEA55C8DD750DCDD4E7C1B97183259C3F62807B8EB0956FEE0292D6
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parents:
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  2019
AB2797386193F4E299ED2832FB568B5CD9EC3CB4A7FEAB16A3D1F5EDE9C41980
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parents:
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  2020
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parents:
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  2021
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parents:
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  2022
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parents:
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  2023
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parents:
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  2024
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  2025
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parents:
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  2026
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parents:
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  2027
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  2028
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  2029
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  2031
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  2032
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  2034
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parents:
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  2035
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parents:
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  2036
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parents:
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  2037
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parents:
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parents:
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parents:
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  2041
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parents:
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  2042
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parents:
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  2043
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parents:
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  2044
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  2045
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  2046
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  2047
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  2049
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  2050
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parents:
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  2051
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parents:
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  2052
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  2053
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  2055
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parents:
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  2058
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  2067
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  2073
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parents:
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  2075
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  2086
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parents:
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Christian Urban <urbanc@in.tum.de>
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parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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diff changeset
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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w(\002n)p Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(a)47 b(c)p
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parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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3688 y Fx(\001)6464 3629 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)p
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Fj(\()p Fl(a)48 b(c)p Fj(\))6310 3978 y Fx(\001)6475
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Christian Urban <urbanc@in.tum.de>
parents:
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3920 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)64 b Fi(_)f Fj(\()p
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4210 y(\(3)p Black(')p Black(\))p Blue 62 w(inf)p Fi(f)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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y Fx(\001)6502 4210 y Fl(x)80 b Fj(=)f Fl(x)63 b Fi(^)h
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Christian Urban <urbanc@in.tum.de>
parents:
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Fj(\()p Fl(b)48 b(c)p Fj(\))8041 4269 y Fx(\001)8206
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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w(\002n)p Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(a)47 b(c)p
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Fj(\()p Fl(a)48 b(c)p Fj(\))6310 3978 y Fx(\001)6475
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Fl(b)48 b(c)p Fj(\))8013 3978 y Fx(\001)8178 3920 y Fl(x)80
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4210 y(\(3)p Black(')p Black(\))p Blue 62 w(inf)p Fi(f)p
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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 4609 1909
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Christian Urban <urbanc@in.tum.de>
parents:
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a 4609 1909 a
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5819
SDict begin [ /View [/XYZ H.V] /Dest (page.1) cvn H.B /DEST pdfmark
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
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  5822
SDict begin [ {ThisPage}<</Trans << /S /R >> >> /PUT pdfmark end
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Christian Urban <urbanc@in.tum.de>
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diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4833 2027 a FK(It)128 b(is)g(as)h(Simple)f(as)g(That.)77
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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b(.)g(.)p 0 TeXcolorgray Black 1 1 0.8 TeXcolorrgb 1 1 0.8
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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TeXcolorrgb 4623 2775 4987 394 v 1 1 0.8 TeXcolorrgb
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Christian Urban <urbanc@in.tum.de>
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diff changeset
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Black Blue Blue 4685 2632 a Fl(at)4945 2669 y Fk(\013)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5828
Blue 5089 2632 a Fl(;)p Blue 47 w(pt)5467 2669 y Fk(\013;\023)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5829
Blue 5820 2632 a Fj(:)j Fl(a)f Fj(#)g Fl(x)64 b Fi(^)f
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5830
Fl(b)80 b Fj(#)f Fl(x)h Fi(\))f Fj(\()p Fl(a)48 b(b)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5831
Fj(\))8681 2691 y Fx(\001)8845 2632 y Fl(x)80 b Fj(=)f
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5832
Fl(x)p Black 1 1 0.8 TeXcolorrgb Black 4623 3085 a Fg(Proof:)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5833
4623 3141 602 10 v 61 w(case)p Blue 63 w Fl(a)g Fi(6)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5834
Fj(=)g Fl(b)p Black Fg(:)4623 3360 y(\(1\))p Blue 150
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5835
w(\002n)p Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(a)47 b(c)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5836
Fj(\))6326 3419 y Fx(\001)6491 3360 y Fl(x)80 b Fi(6)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5837
Fj(=)f Fl(x)p Fi(g)p Black Blue 5022 3629 a Fg(\002n)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5838
Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(b)48 b(c)p Fj(\))6299
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5839
3688 y Fx(\001)6464 3629 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5840
Fi(g)p Black 8377 3360 a Fg(from)63 b(Ass.)h(+Def.)g(of)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5841
Blue 62 w Fj(#)p Black 4623 3920 a Fg(\(2)p Black(')p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5842
Black(\))p Blue 62 w(\002n)p Fi(f)p Fl(c)79 b Fi(j)g
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5843
Fj(\()p Fl(a)48 b(c)p Fj(\))6310 3978 y Fx(\001)6475
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5844
3920 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)64 b Fi(_)f Fj(\()p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5845
Fl(b)48 b(c)p Fj(\))8013 3978 y Fx(\001)8178 3920 y Fl(x)80
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5846
b Fi(6)p Fj(=)f Fl(x)p Fi(g)p Black 1005 w Fg(f.)64 b(\(1\))4623
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5847
4210 y(\(3)p Black(')p Black(\))p Blue 62 w(inf)p Fi(f)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5848
Fl(c)79 b Fi(j)g Fj(\()p Fl(a)48 b(c)p Fj(\))6337 4269
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5849
y Fx(\001)6502 4210 y Fl(x)80 b Fj(=)f Fl(x)63 b Fi(^)h
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5850
Fj(\()p Fl(b)48 b(c)p Fj(\))8041 4269 y Fx(\001)8206
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5851
4210 y Fl(x)79 b Fj(=)g Fl(x)p Fj(\))p Fi(g)p Black 799
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5852
w Fg(f.)63 b(\(2'\))4623 4500 y(\(4\))121 b(\(i\))p Blue
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5853
58 w Fj(\()p Fl(a)48 b(c)p Fj(\))5846 4559 y Fx(\001)6011
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5854
4500 y Fl(x)80 b Fj(=)f Fl(x)p Black 238 w Fg(\(ii\))p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5855
Blue 59 w Fj(\()p Fl(b)48 b(c)p Fj(\))7802 4559 y Fx(\001)7967
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5856
4500 y Fl(x)80 b Fj(=)f Fl(x)p Black 515 w Fg(for)63
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5857
b(a)p Blue 62 w Fl(c)p Black 63 w Fi(2)g Fg(\(3'\))4623
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5858
4790 y(\(5\))p Blue 121 w Fj(\()p Fl(a)48 b(c)p Fj(\))5575
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5859
4849 y Fx(\001)5739 4790 y Fl(x)80 b Fj(=)f Fl(x)p Black
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5860
3420 w Fg(by)62 b(\(4i\))4623 5081 y(\(6)p White(')p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5861
Black(\))p Blue 91 w Fj(\()p Fl(b)48 b(c)p Fj(\))5555
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5862
5139 y Fx(\001)5720 5081 y Fj(\()p Fl(a)g(c)p Fj(\))6268
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5863
5139 y Fx(\001)6433 5081 y Fl(x)79 b Fj(=)h(\()p Fl(b)48
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5864
b(c)p Fj(\))7492 5139 y Fx(\001)7656 5081 y Fl(x)p Black
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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2062 w Fg(by)62 b(bij.)p Red Black 1 1 0.8 TeXcolorrgb
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5872
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5873
1 x(bij.:)p Blue 78 w Fl(x)79 b Fj(=)h Fl(y)p Black 72
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5874
w Fg(if)-48 b(f)p Blue 63 w Fl(\031)7968 5779 y Fx(\001)8133
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5875
5720 y Fl(x)79 b Fj(=)g Fl(\031)8849 5779 y Fx(\001)9014
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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5720 y Fl(y)p Black 0 TeXcolorgray 10821 5925 a
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
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diff changeset
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Christian Urban <urbanc@in.tum.de>
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diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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diff changeset
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
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a 4609 1909 a
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4833 2027 a FK(It)128 b(is)g(as)h(Simple)f(as)g(That.)77
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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b(.)g(.)p 0 TeXcolorgray Black 1 1 0.8 TeXcolorrgb 1 1 0.8
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Christian Urban <urbanc@in.tum.de>
parents:
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TeXcolorrgb 4623 2775 4987 394 v 1 1 0.8 TeXcolorrgb
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Christian Urban <urbanc@in.tum.de>
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diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Blue 5089 2632 a Fl(;)p Blue 47 w(pt)5467 2669 y Fk(\013;\023)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5910
Blue 5820 2632 a Fj(:)j Fl(a)f Fj(#)g Fl(x)64 b Fi(^)f
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5911
Fl(b)80 b Fj(#)f Fl(x)h Fi(\))f Fj(\()p Fl(a)48 b(b)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5912
Fj(\))8681 2691 y Fx(\001)8845 2632 y Fl(x)80 b Fj(=)f
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5913
Fl(x)p Black 1 1 0.8 TeXcolorrgb Black 4623 3085 a Fg(Proof:)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5914
4623 3141 602 10 v 61 w(case)p Blue 63 w Fl(a)g Fi(6)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5915
Fj(=)g Fl(b)p Black Fg(:)4623 3360 y(\(1\))p Blue 150
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5916
w(\002n)p Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(a)47 b(c)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5917
Fj(\))6326 3419 y Fx(\001)6491 3360 y Fl(x)80 b Fi(6)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5918
Fj(=)f Fl(x)p Fi(g)p Black Blue 5022 3629 a Fg(\002n)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5919
Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(b)48 b(c)p Fj(\))6299
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5920
3688 y Fx(\001)6464 3629 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5921
Fi(g)p Black 8377 3360 a Fg(from)63 b(Ass.)h(+Def.)g(of)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5922
Blue 62 w Fj(#)p Black 4623 3920 a Fg(\(2)p Black(')p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5923
Black(\))p Blue 62 w(\002n)p Fi(f)p Fl(c)79 b Fi(j)g
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5924
Fj(\()p Fl(a)48 b(c)p Fj(\))6310 3978 y Fx(\001)6475
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5925
3920 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)64 b Fi(_)f Fj(\()p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5926
Fl(b)48 b(c)p Fj(\))8013 3978 y Fx(\001)8178 3920 y Fl(x)80
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5927
b Fi(6)p Fj(=)f Fl(x)p Fi(g)p Black 1005 w Fg(f.)64 b(\(1\))4623
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5928
4210 y(\(3)p Black(')p Black(\))p Blue 62 w(inf)p Fi(f)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5929
Fl(c)79 b Fi(j)g Fj(\()p Fl(a)48 b(c)p Fj(\))6337 4269
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5930
y Fx(\001)6502 4210 y Fl(x)80 b Fj(=)f Fl(x)63 b Fi(^)h
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5931
Fj(\()p Fl(b)48 b(c)p Fj(\))8041 4269 y Fx(\001)8206
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5932
4210 y Fl(x)79 b Fj(=)g Fl(x)p Fj(\))p Fi(g)p Black 799
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5933
w Fg(f.)63 b(\(2'\))4623 4500 y(\(4\))121 b(\(i\))p Blue
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5934
58 w Fj(\()p Fl(a)48 b(c)p Fj(\))5846 4559 y Fx(\001)6011
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5935
4500 y Fl(x)80 b Fj(=)f Fl(x)p Black 238 w Fg(\(ii\))p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5936
Blue 59 w Fj(\()p Fl(b)48 b(c)p Fj(\))7802 4559 y Fx(\001)7967
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5937
4500 y Fl(x)80 b Fj(=)f Fl(x)p Black 515 w Fg(for)63
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5938
b(a)p Blue 62 w Fl(c)p Black 63 w Fi(2)g Fg(\(3'\))4623
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5939
4790 y(\(5\))p Blue 121 w Fj(\()p Fl(a)48 b(c)p Fj(\))5575
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5940
4849 y Fx(\001)5739 4790 y Fl(x)80 b Fj(=)f Fl(x)p Black
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5941
3420 w Fg(by)62 b(\(4i\))4623 5081 y(\(6)p Black(')p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5942
Black(\))p Blue 91 w Fj(\()p Fl(b)48 b(c)p Fj(\))5555
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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diff changeset
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5139 y Fx(\001)6433 5081 y Fl(x)79 b Fj(=)h Fl(x)p Black
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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a 4609 1909 a
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Blue 5089 2632 a Fl(;)p Blue 47 w(pt)5467 2669 y Fk(\013;\023)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Blue 5820 2632 a Fj(:)j Fl(a)f Fj(#)g Fl(x)64 b Fi(^)f
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Fl(b)80 b Fj(#)f Fl(x)h Fi(\))f Fj(\()p Fl(a)48 b(b)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5981
Fj(\))8681 2691 y Fx(\001)8845 2632 y Fl(x)80 b Fj(=)f
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Fl(x)p Black 1 1 0.8 TeXcolorrgb Black 4623 3085 a Fg(Proof:)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4623 3141 602 10 v 61 w(case)p Blue 63 w Fl(a)g Fi(6)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5984
Fj(=)g Fl(b)p Black Fg(:)4623 3360 y(\(1\))p Blue 150
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5985
w(\002n)p Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(a)47 b(c)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5986
Fj(\))6326 3419 y Fx(\001)6491 3360 y Fl(x)80 b Fi(6)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5987
Fj(=)f Fl(x)p Fi(g)p Black Blue 5022 3629 a Fg(\002n)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(b)48 b(c)p Fj(\))6299
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5989
3688 y Fx(\001)6464 3629 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Fi(g)p Black 8377 3360 a Fg(from)63 b(Ass.)h(+Def.)g(of)p
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Christian Urban <urbanc@in.tum.de>
parents:
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345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Black(\))p Blue 62 w(\002n)p Fi(f)p Fl(c)79 b Fi(j)g
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Fj(\()p Fl(a)48 b(c)p Fj(\))6310 3978 y Fx(\001)6475
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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3920 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)64 b Fi(_)f Fj(\()p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5995
Fl(b)48 b(c)p Fj(\))8013 3978 y Fx(\001)8178 3920 y Fl(x)80
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5996
b Fi(6)p Fj(=)f Fl(x)p Fi(g)p Black 1005 w Fg(f.)64 b(\(1\))4623
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4210 y(\(3)p Black(')p Black(\))p Blue 62 w(inf)p Fi(f)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5998
Fl(c)79 b Fi(j)g Fj(\()p Fl(a)48 b(c)p Fj(\))6337 4269
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  5999
y Fx(\001)6502 4210 y Fl(x)80 b Fj(=)f Fl(x)63 b Fi(^)h
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6000
Fj(\()p Fl(b)48 b(c)p Fj(\))8041 4269 y Fx(\001)8206
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4210 y Fl(x)79 b Fj(=)g Fl(x)p Fj(\))p Fi(g)p Black 799
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6002
w Fg(f.)63 b(\(2'\))4623 4500 y(\(4\))121 b(\(i\))p Blue
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6003
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6004
4500 y Fl(x)80 b Fj(=)f Fl(x)p Black 238 w Fg(\(ii\))p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6005
Blue 59 w Fj(\()p Fl(b)48 b(c)p Fj(\))7802 4559 y Fx(\001)7967
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6006
4500 y Fl(x)80 b Fj(=)f Fl(x)p Black 515 w Fg(for)63
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6007
b(a)p Blue 62 w Fl(c)p Black 63 w Fi(2)g Fg(\(3'\))4623
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6008
4790 y(\(5\))p Blue 121 w Fj(\()p Fl(a)48 b(c)p Fj(\))5575
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6009
4849 y Fx(\001)5739 4790 y Fl(x)80 b Fj(=)f Fl(x)p Black
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6010
3420 w Fg(by)62 b(\(4i\))4623 5081 y(\(6)p Black(')p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6011
Black(\))p Blue 91 w Fj(\()p Fl(b)48 b(c)p Fj(\))5555
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6012
5139 y Fx(\001)5720 5081 y Fj(\()p Fl(a)g(c)p Fj(\))6268
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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5139 y Fx(\001)6433 5081 y Fl(x)79 b Fj(=)h Fl(x)p Black
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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2287 w Fg(by)62 b(bij.,\(4ii\))4623 5371 y(\(7)p White(')p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6015
Black(\))p Blue 91 w Fj(\()p Fl(a)48 b(c)p Fj(\))5583
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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5429 y Fx(\001)5748 5371 y Fj(\()p Fl(b)g(c)p Fj(\))6268
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6017
5429 y Fx(\001)6433 5371 y Fj(\()p Fl(a)g(c)p Fj(\))6981
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6018
5429 y Fx(\001)7146 5371 y Fl(x)79 b Fj(=)g(\()p Fl(a)48
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6019
b(c)p Fj(\))8232 5429 y Fx(\001)8397 5371 y Fl(x)p Black
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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6416 a 4609 1909 a
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Blue 5089 2632 a Fl(;)p Blue 47 w(pt)5467 2669 y Fk(\013;\023)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6054
Blue 5820 2632 a Fj(:)j Fl(a)f Fj(#)g Fl(x)64 b Fi(^)f
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6055
Fl(b)80 b Fj(#)f Fl(x)h Fi(\))f Fj(\()p Fl(a)48 b(b)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6056
Fj(\))8681 2691 y Fx(\001)8845 2632 y Fl(x)80 b Fj(=)f
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Fl(x)p Black 1 1 0.8 TeXcolorrgb Black 4623 3085 a Fg(Proof:)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4623 3141 602 10 v 61 w(case)p Blue 63 w Fl(a)g Fi(6)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6059
Fj(=)g Fl(b)p Black Fg(:)4623 3360 y(\(1\))p Blue 150
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6060
w(\002n)p Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(a)47 b(c)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6061
Fj(\))6326 3419 y Fx(\001)6491 3360 y Fl(x)80 b Fi(6)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6062
Fj(=)f Fl(x)p Fi(g)p Black Blue 5022 3629 a Fg(\002n)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6063
Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(b)48 b(c)p Fj(\))6299
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6064
3688 y Fx(\001)6464 3629 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6065
Fi(g)p Black 8377 3360 a Fg(from)63 b(Ass.)h(+Def.)g(of)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6066
Blue 62 w Fj(#)p Black 4623 3920 a Fg(\(2)p Black(')p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6067
Black(\))p Blue 62 w(\002n)p Fi(f)p Fl(c)79 b Fi(j)g
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6068
Fj(\()p Fl(a)48 b(c)p Fj(\))6310 3978 y Fx(\001)6475
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6069
3920 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)64 b Fi(_)f Fj(\()p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6070
Fl(b)48 b(c)p Fj(\))8013 3978 y Fx(\001)8178 3920 y Fl(x)80
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6071
b Fi(6)p Fj(=)f Fl(x)p Fi(g)p Black 1005 w Fg(f.)64 b(\(1\))4623
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6072
4210 y(\(3)p Black(')p Black(\))p Blue 62 w(inf)p Fi(f)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6073
Fl(c)79 b Fi(j)g Fj(\()p Fl(a)48 b(c)p Fj(\))6337 4269
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6074
y Fx(\001)6502 4210 y Fl(x)80 b Fj(=)f Fl(x)63 b Fi(^)h
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6075
Fj(\()p Fl(b)48 b(c)p Fj(\))8041 4269 y Fx(\001)8206
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4210 y Fl(x)79 b Fj(=)g Fl(x)p Fj(\))p Fi(g)p Black 799
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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w Fg(f.)63 b(\(2'\))4623 4500 y(\(4\))121 b(\(i\))p Blue
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6078
58 w Fj(\()p Fl(a)48 b(c)p Fj(\))5846 4559 y Fx(\001)6011
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6079
4500 y Fl(x)80 b Fj(=)f Fl(x)p Black 238 w Fg(\(ii\))p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6080
Blue 59 w Fj(\()p Fl(b)48 b(c)p Fj(\))7802 4559 y Fx(\001)7967
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6081
4500 y Fl(x)80 b Fj(=)f Fl(x)p Black 515 w Fg(for)63
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6082
b(a)p Blue 62 w Fl(c)p Black 63 w Fi(2)g Fg(\(3'\))4623
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4790 y(\(5\))p Blue 121 w Fj(\()p Fl(a)48 b(c)p Fj(\))5575
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6084
4849 y Fx(\001)5739 4790 y Fl(x)80 b Fj(=)f Fl(x)p Black
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Black(\))p Blue 91 w Fj(\()p Fl(b)48 b(c)p Fj(\))5555
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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5139 y Fx(\001)5720 5081 y Fj(\()p Fl(a)g(c)p Fj(\))6268
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6088
5139 y Fx(\001)6433 5081 y Fl(x)79 b Fj(=)h Fl(x)p Black
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6089
2287 w Fg(by)62 b(bij.,\(4ii\))4623 5371 y(\(7)p Black(')p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6090
Black(\))p Blue 91 w Fj(\()p Fl(a)48 b(c)p Fj(\))5583
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6091
5429 y Fx(\001)5748 5371 y Fj(\()p Fl(b)g(c)p Fj(\))6268
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6092
5429 y Fx(\001)6433 5371 y Fj(\()p Fl(a)g(c)p Fj(\))6981
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6093
5429 y Fx(\001)7146 5371 y Fl(x)79 b Fj(=)g Fl(x)p Black
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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w(\002n)p Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(a)47 b(c)p
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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3688 y Fx(\001)6464 3629 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)p
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parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Black(\))p Blue 62 w(\002n)p Fi(f)p Fl(c)79 b Fi(j)g
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Christian Urban <urbanc@in.tum.de>
parents:
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Fj(\()p Fl(a)48 b(c)p Fj(\))6310 3978 y Fx(\001)6475
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Christian Urban <urbanc@in.tum.de>
parents:
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3920 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)64 b Fi(_)f Fj(\()p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Fl(b)48 b(c)p Fj(\))8013 3978 y Fx(\001)8178 3920 y Fl(x)80
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6145
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4210 y(\(3)p Black(')p Black(\))p Blue 62 w(inf)p Fi(f)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Fl(c)79 b Fi(j)g Fj(\()p Fl(a)48 b(c)p Fj(\))6337 4269
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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y Fx(\001)6502 4210 y Fl(x)80 b Fj(=)f Fl(x)63 b Fi(^)h
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Fj(\()p Fl(b)48 b(c)p Fj(\))8041 4269 y Fx(\001)8206
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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w Fg(f.)63 b(\(2'\))4623 4500 y(\(4\))121 b(\(i\))p Blue
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Blue 59 w Fj(\()p Fl(b)48 b(c)p Fj(\))7802 4559 y Fx(\001)7967
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6156
b(a)p Blue 62 w Fl(c)p Black 63 w Fi(2)g Fg(\(3'\))4623
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6157
4790 y(\(5\))p Blue 121 w Fj(\()p Fl(a)48 b(c)p Fj(\))5575
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6158
4849 y Fx(\001)5739 4790 y Fl(x)80 b Fj(=)f Fl(x)p Black
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6204
Blue 5089 2632 a Fl(;)p Blue 47 w(pt)5467 2669 y Fk(\013;\023)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6205
Blue 5820 2632 a Fj(:)j Fl(a)f Fj(#)g Fl(x)64 b Fi(^)f
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6206
Fl(b)80 b Fj(#)f Fl(x)h Fi(\))f Fj(\()p Fl(a)48 b(b)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6207
Fj(\))8681 2691 y Fx(\001)8845 2632 y Fl(x)80 b Fj(=)f
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6208
Fl(x)p Black 1 1 0.8 TeXcolorrgb Black 4623 3085 a Fg(Proof:)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6209
4623 3141 602 10 v 61 w(case)p Blue 63 w Fl(a)g Fi(6)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6210
Fj(=)g Fl(b)p Black Fg(:)4623 3360 y(\(1\))p Blue 150
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6211
w(\002n)p Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(a)47 b(c)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6212
Fj(\))6326 3419 y Fx(\001)6491 3360 y Fl(x)80 b Fi(6)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6213
Fj(=)f Fl(x)p Fi(g)p Black Blue 5022 3629 a Fg(\002n)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6214
Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(b)48 b(c)p Fj(\))6299
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6215
3688 y Fx(\001)6464 3629 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6216
Fi(g)p Black 8377 3360 a Fg(from)63 b(Ass.)h(+Def.)g(of)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6217
Blue 62 w Fj(#)p Black 4623 3920 a Fg(\(2)p Black(')p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6218
Black(\))p Blue 62 w(\002n)p Fi(f)p Fl(c)79 b Fi(j)g
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6219
Fj(\()p Fl(a)48 b(c)p Fj(\))6310 3978 y Fx(\001)6475
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6220
3920 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)64 b Fi(_)f Fj(\()p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6221
Fl(b)48 b(c)p Fj(\))8013 3978 y Fx(\001)8178 3920 y Fl(x)80
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6222
b Fi(6)p Fj(=)f Fl(x)p Fi(g)p Black 1005 w Fg(f.)64 b(\(1\))4623
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6223
4210 y(\(3)p Black(')p Black(\))p Blue 62 w(inf)p Fi(f)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6224
Fl(c)79 b Fi(j)g Fj(\()p Fl(a)48 b(c)p Fj(\))6337 4269
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6225
y Fx(\001)6502 4210 y Fl(x)80 b Fj(=)f Fl(x)63 b Fi(^)h
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6226
Fj(\()p Fl(b)48 b(c)p Fj(\))8041 4269 y Fx(\001)8206
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6227
4210 y Fl(x)79 b Fj(=)g Fl(x)p Fj(\))p Fi(g)p Black 799
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6228
w Fg(f.)63 b(\(2'\))4623 4500 y(\(4\))121 b(\(i\))p Blue
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6229
58 w Fj(\()p Fl(a)48 b(c)p Fj(\))5846 4559 y Fx(\001)6011
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6230
4500 y Fl(x)80 b Fj(=)f Fl(x)p Black 238 w Fg(\(ii\))p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6231
Blue 59 w Fj(\()p Fl(b)48 b(c)p Fj(\))7802 4559 y Fx(\001)7967
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6232
4500 y Fl(x)80 b Fj(=)f Fl(x)p Black 515 w Fg(for)63
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6233
b(a)p Blue 62 w Fl(c)p Black 63 w Fi(2)g Fg(\(3'\))4623
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6234
4790 y(\(5\))p Blue 121 w Fj(\()p Fl(a)48 b(c)p Fj(\))5575
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6235
4849 y Fx(\001)5739 4790 y Fl(x)80 b Fj(=)f Fl(x)p Black
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6236
3420 w Fg(by)62 b(\(4i\))4623 5081 y(\(6)p Black(')p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6237
Black(\))p Blue 91 w Fj(\()p Fl(b)48 b(c)p Fj(\))5555
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6238
5139 y Fx(\001)5720 5081 y Fj(\()p Fl(a)g(c)p Fj(\))6268
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6239
5139 y Fx(\001)6433 5081 y Fl(x)79 b Fj(=)h Fl(x)p Black
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6240
2287 w Fg(by)62 b(bij.,\(4ii\))4623 5371 y(\(7)p Black(')p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6241
Black(\))p Blue 91 w Fj(\()p Fl(a)48 b(c)p Fj(\))5583
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6242
5429 y Fx(\001)5748 5371 y Fj(\()p Fl(b)g(c)p Fj(\))6268
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6243
5429 y Fx(\001)6433 5371 y Fj(\()p Fl(a)g(c)p Fj(\))6981
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6244
5429 y Fx(\001)7146 5371 y Fl(x)79 b Fj(=)g Fl(x)p Black
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6245
1634 w Fg(by)62 b(bij.,\(4i\))4623 5661 y(\(8\))p Blue
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6246
121 w Fj(\()p Fl(a)48 b(b)p Fj(\))5577 5720 y Fx(\001)5741
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6247
5661 y Fl(x)80 b Fj(=)f Fl(x)p Black 2802 w Fg(by)62
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6248
b(3rd.)g(prop.)p Red Black 1 1 0.8 TeXcolorrgb Black
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6255
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6256
x(3rd)g(property)g(of)p Blue 62 w Fl(pt)7980 4182 y Fk(\013;\023)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6257
Black 8253 4145 a Fg(:)p Blue 6107 4419 a Fl(\031)6276
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6258
4457 y Fc(1)6467 4419 y Fi(\030)79 b Fl(\031)6937 4457
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6259
y Fc(2)7127 4419 y Fi(\))h Fl(\031)7661 4457 y Fc(1)7772
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6260
4478 y Fx(\001)7937 4419 y Fl(x)f Fj(=)g Fl(\031)8644
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6261
4457 y Fc(2)8756 4478 y Fx(\001)8920 4419 y Fl(x)p Black
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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9325 6307 a FB(Munich,)26 b(3.)f(May)h(2005)f(\226)h(p.16)f(\(15/16\))p
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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6416 a 4609 1909 a
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
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a 4609 1909 a
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4833 2027 a FK(It)128 b(is)g(as)h(Simple)f(as)g(That.)77
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6291
b(.)g(.)p 0 TeXcolorgray Black 1 1 0.8 TeXcolorrgb 1 1 0.8
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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TeXcolorrgb 4623 2775 4987 394 v 1 1 0.8 TeXcolorrgb
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6294
Blue 5089 2632 a Fl(;)p Blue 47 w(pt)5467 2669 y Fk(\013;\023)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6295
Blue 5820 2632 a Fj(:)j Fl(a)f Fj(#)g Fl(x)64 b Fi(^)f
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6296
Fl(b)80 b Fj(#)f Fl(x)h Fi(\))f Fj(\()p Fl(a)48 b(b)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6297
Fj(\))8681 2691 y Fx(\001)8845 2632 y Fl(x)80 b Fj(=)f
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6298
Fl(x)p Black 1 1 0.8 TeXcolorrgb Black 4623 3085 a Fg(Proof:)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6299
4623 3141 602 10 v 61 w(case)p Blue 63 w Fl(a)g Fi(6)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6300
Fj(=)g Fl(b)p Black Fg(:)4623 3360 y(\(1\))p Blue 150
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6301
w(\002n)p Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(a)47 b(c)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6302
Fj(\))6326 3419 y Fx(\001)6491 3360 y Fl(x)80 b Fi(6)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6303
Fj(=)f Fl(x)p Fi(g)p Black Blue 5022 3629 a Fg(\002n)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6304
Fi(f)p Fl(c)g Fi(j)h Fj(\()p Fl(b)48 b(c)p Fj(\))6299
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6305
3688 y Fx(\001)6464 3629 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6306
Fi(g)p Black 8377 3360 a Fg(from)63 b(Ass.)h(+Def.)g(of)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6307
Blue 62 w Fj(#)p Black 4623 3920 a Fg(\(2)p Black(')p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6308
Black(\))p Blue 62 w(\002n)p Fi(f)p Fl(c)79 b Fi(j)g
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6309
Fj(\()p Fl(a)48 b(c)p Fj(\))6310 3978 y Fx(\001)6475
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6310
3920 y Fl(x)79 b Fi(6)p Fj(=)g Fl(x)64 b Fi(_)f Fj(\()p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6311
Fl(b)48 b(c)p Fj(\))8013 3978 y Fx(\001)8178 3920 y Fl(x)80
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6312
b Fi(6)p Fj(=)f Fl(x)p Fi(g)p Black 1005 w Fg(f.)64 b(\(1\))4623
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6313
4210 y(\(3)p Black(')p Black(\))p Blue 62 w(inf)p Fi(f)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6314
Fl(c)79 b Fi(j)g Fj(\()p Fl(a)48 b(c)p Fj(\))6337 4269
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6315
y Fx(\001)6502 4210 y Fl(x)80 b Fj(=)f Fl(x)63 b Fi(^)h
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6316
Fj(\()p Fl(b)48 b(c)p Fj(\))8041 4269 y Fx(\001)8206
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6317
4210 y Fl(x)79 b Fj(=)g Fl(x)p Fj(\))p Fi(g)p Black 799
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6318
w Fg(f.)63 b(\(2'\))4623 4500 y(\(4\))121 b(\(i\))p Blue
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6319
58 w Fj(\()p Fl(a)48 b(c)p Fj(\))5846 4559 y Fx(\001)6011
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6320
4500 y Fl(x)80 b Fj(=)f Fl(x)p Black 238 w Fg(\(ii\))p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6321
Blue 59 w Fj(\()p Fl(b)48 b(c)p Fj(\))7802 4559 y Fx(\001)7967
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6322
4500 y Fl(x)80 b Fj(=)f Fl(x)p Black 515 w Fg(for)63
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6323
b(a)p Blue 62 w Fl(c)p Black 63 w Fi(2)g Fg(\(3'\))4623
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6324
4790 y(\(5\))p Blue 121 w Fj(\()p Fl(a)48 b(c)p Fj(\))5575
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6325
4849 y Fx(\001)5739 4790 y Fl(x)80 b Fj(=)f Fl(x)p Black
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6326
3420 w Fg(by)62 b(\(4i\))4623 5081 y(\(6)p Black(')p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6327
Black(\))p Blue 91 w Fj(\()p Fl(b)48 b(c)p Fj(\))5555
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6749
FD(\))74 b(From)p Blue 76 w FA(a)95 b Fz(#)g([)p FA(b)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6750
Fz(])p FA(:x)p Black 75 w FD(and)p Blue 76 w FA(c)g Fz(#)g([)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6751
FA(b)p Fz(])p FA(:x)p Black Black Black Blue 5209 4857
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6752
a Fz([)p FA(b)p Fz(])p FA(:x)g Fz(=)g(\()p FA(a)58 b(b)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6753
Fz(\))6952 4916 y Fx(\001)7116 4857 y Fz(\([)p FA(b)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6754
Fz(])p FA(:x)p Fz(\))95 b(=)g([)p FA(b)p Fz(])p FA(:)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6755
Fz(\()p FA(a)58 b(c)p Fz(\))9553 4916 y Fx(\001)9717
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6756
4857 y FA(x)p Black 4623 5245 a FD(By)p Blue 76 w FA(abst)5614
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6757
5289 y Fv(\013;\023)p Black 5932 5245 a FD(\(ii\))74
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6758
b(hence)p Blue 76 w FA(x)95 b Fz(=)g(\()p FA(a)57 b(c)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6759
Fz(\))8398 5303 y Fx(\001)8562 5245 y FA(x)p Black FD(.)94
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6760
b(Now)75 b(from)p Blue 4623 5557 a FA(c)94 b Fz(#)h FA(x)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6761
Black FD(:)p Black Black Blue 4962 5969 a FA(c)g Fz(#)g
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6762
FA(x)g Fy(,)g Fz(\()p FA(a)57 b(c)p Fz(\))6970 6027 y
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6763
Fx(\001)7134 5969 y FA(c)95 b Fz(#)g(\()p FA(a)57 b(c)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6764
Fz(\))8414 6027 y Fx(\001)8578 5969 y FA(x)95 b Fy(,)h
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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6416 a 4609 1909 a
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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a 4609 1909 a
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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diff changeset
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345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6797
FD(,)p Blue 75 w FA(pt)6725 2633 y Fv(\013;\023)p Black
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6798
7118 2588 a FD(and)p Blue 76 w FA(at)7915 2633 y Fv(\013)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Black 8083 2588 a FD(:)4623 2917 y(If)p Blue 75 w Fz(\014n\()p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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FA(supp)94 b(x)p Fz(\))p Black 76 w FD(and)p Blue 76
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6801
w FA(a)h Fy(6)p Fz(=)h FA(b)p Black 75 w FD(then)p Black
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6802
Black Blue 6251 3304 a FA(a)f Fz(#)g FA(x)p Black 75
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6803
w FD(iff)p Blue 76 w FA(a)h Fz(#)e([)p FA(b)p Fz(])p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6804
FA(:x)p Black 4623 3975 a FD(Proof.)f(There)76 b(exists)g(a)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6805
Blue 75 w FA(c)p Black 75 w FD(with)p Blue 75 w FA(c)95
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6806
b Fz(#)g FA(a;)57 b(b;)g(x;)g Fz([)p FA(b)p Fz(])p FA(:x)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Black FD(.)4623 4469 y(\()p Fy(\))p FD(\))74 b(From)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6808
Blue 76 w FA(c)94 b Fz(#)h([)p FA(b)p Fz(])p FA(:x)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Black 76 w FD(we)75 b(also)g(have)p Black Black Blue
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6810
6112 4905 a Fz(\()p FA(a)57 b(c)p Fz(\))6770 4964 y Fx(\001)6934
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4905 y FA(c)95 b Fz(#)g(\()p FA(a)57 b(c)p Fz(\))8214
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6812
4964 y Fx(\001)8378 4905 y Fz([)p FA(b)p Fz(])p FA(:x)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Black 4623 5305 a FD(and)p Black Black Blue 6505 5654
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6814
a FA(a)96 b Fz(#)e([)p FA(b)p Fz(])p FA(:)p Fz(\()p FA(a)58
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6815
b(c)p Fz(\))8257 5713 y Fx(\001)8421 5654 y FA(x)p Black
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6816
4623 6064 a FD(Because)p Blue 76 w FA(a)95 b Fz(#)g FA(x)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6817
Black 75 w FD(and)p Blue 77 w FA(c)f Fz(#)h FA(x)p Black
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6818
FD(,)p Blue 75 w Fz(\()p FA(a)58 b(c)p Fz(\))8682 6123
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6819
y Fx(\001)8846 6064 y FA(x)95 b Fz(=)g FA(x)p Black FD(.)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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diff changeset
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Christian Urban <urbanc@in.tum.de>
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9390 6307 a FB(Munich,)26 b(3.)f(May)h(2005)f(\226)h(p.23)f(\(2/2\))p
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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6416 a 4609 1909 a
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
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345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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SDict begin H.R end
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Christian Urban <urbanc@in.tum.de>
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345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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a 4609 1909 a
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6845
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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a FA(a)95 b Fz(#)g([)p FA(a)p Fz(])p FA(:x)p Black 4623
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6855
3318 a FD(Again)75 b(from)p Blue 76 w FA(c)95 b Fz(#)f
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6856
FA(a;)58 b(x;)f Fz([)p FA(a)p Fz(])p FA(:x)p Black 75
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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w FD(we)76 b(can)f(infer)p Black Black Blue 5033 3823
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6858
a FA(c)95 b Fz(#)g([)p FA(a)p Fz(])p FA(:x)p Black Blue
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6859
248 w Fy(,)p Black Blue 248 w Fz(\()p FA(a)57 b(c)p Fz(\))7816
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6860
3882 y Fx(\001)7980 3823 y FA(c)95 b Fz(#)g(\()p FA(a)57
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6861
b(c)p Fz(\))9260 3882 y Fx(\001)9424 3823 y Fz([)p FA(a)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6862
Fz(])p FA(:x)p Black Blue 6568 4158 a Fy(,)p Black Blue
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6863
248 w FA(a)95 b Fz(#)g([)p FA(c)p Fz(])p FA(:)p Fz(\()p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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FA(a)57 b(c)p Fz(\))8907 4217 y Fx(\001)9071 4158 y FA(x)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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Black FD(.)4623 4579 y(However:)p Black Black Blue 6277
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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4927 a Fz([)p FA(c)p Fz(])p FA(:)p Fz(\()p FA(a)g(c)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6867
Fz(\))7369 4986 y Fx(\001)7533 4927 y FA(x)95 b Fz(=)h([)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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FA(a)p Fz(])p FA(:x)p Black 4623 5539 a FD(\(since)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6869
Blue 74 w FA(c)f Fy(6)p Fz(=)g FA(a)p Black FD(,)76 b(by)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6870
Blue 75 w FA(abst)7302 5584 y Fv(\013;\023)p Black 7621
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6871
5539 a FD(\(ii\))p Blue 144 w Fz([)p FA(c)p Fz(])p FA(:)p
345dd18f020e added slides
Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6872
Fz(\()p FA(a)57 b(c)p Fz(\))9185 5598 y Fx(\001)9349
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6873
5539 y FA(x)95 b Fz(=)g([)p FA(a)p Fz(])p FA(:x)p Black
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6874
6319 5868 a FD(iff)p Blue 76 w Fz(\()p FA(a)58 b(c)p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6875
Fz(\))7381 5927 y Fx(\001)7545 5868 y FA(x)95 b Fz(=)g(\()p
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6876
FA(a)57 b(c)p Fz(\))8849 5927 y Fx(\001)9013 5868 y FA(x)76
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
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b Fy(^)g FA(c)95 b Fz(#)g FA(x)p Black FD(\))p 0 TeXcolorgray
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
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Christian Urban <urbanc@in.tum.de>
parents:
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Christian Urban <urbanc@in.tum.de>
parents:
diff changeset
  6881
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