Slides/cam02.ps
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     1 %!PS-Adobe-2.0
       
     2 %%Creator: dvips(k) 5.95a Copyright 2005 Radical Eye Software
       
     3 %%Title: slides-02.dvi
       
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    61 %!
       
    62 % PostScript prologue for pstricks.tex.
       
    63 % Version 97 patch 4, 04/05/10
       
    64 % For distribution, see pstricks.tex.
       
    65 %
       
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    88 /STV { SDict begin normalscale end STP  } def
       
    89 %
       
    90 %%-------------- DG begin patch 15 ---------------%%
       
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    92 %PathLength } ifelse /b ED /x ED /y ED /z y x add def b a .5 sub 2 mul y
       
    93 %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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    96 /DashLine {
       
    97   dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def PathLength } ifelse
       
    98   /b ED /x1 ED /y1 ED /x ED /y ED 
       
    99   /z y x add y1 add x1 add def
       
   100   /Coef b a .5 sub 2 mul y mul sub z Div round 
       
   101   z mul a .5 sub 2 mul y mul add b exch Div def 
       
   102   /y y Coef mul def /x x Coef mul def /y1 y1 Coef mul def /x1 x1 Coef mul def
       
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   105 } def
       
   106 %%-------------- DG end patch 15 ---------------%%
       
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   108 { /b b a div def } { a 0 eq { /b b y sub def } { a -3 eq { /b b y add
       
   109 def } if } ifelse } ifelse [ 0 b b z Div round Div dup 0 le { pop 1 } if
       
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   112 /LineFill { gsave abs CLW add /a ED a 0 dtransform round exch round exch
       
   113 2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25
       
   114 % DG/SR modification begin - Dec. 12, 1997 - Patch 2
       
   115 %itransform translate pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
       
   116 itransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
       
   117 % DG/SR modification end
       
   118 Div cvi /x1 ED /y2 y2 y1 sub def clip newpath 2 setlinecap systemdict
       
   119 /setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1
       
   120 % DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
       
   121 % a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore }
       
   122 % def
       
   123 a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore
       
   124 pop pop } def
       
   125 % DG/SR modification end
       
   126 /BeginArrow { ADict begin /@mtrx CM def gsave 2 copy T 2 index sub neg
       
   127 exch 3 index sub exch Atan rotate newpath } def
       
   128 /EndArrow { @mtrx setmatrix CP grestore end } def
       
   129 /Arrow { CLW mul add dup 2 div /w ED mul dup /h ED mul /a ED { 0 h T 1 -1
       
   130 scale } if w neg h moveto 0 0 L w h L w neg a neg rlineto gsave fill
       
   131 grestore } def
       
   132 /Tbar { CLW mul add /z ED z -2 div CLW 2 div moveto z 0 rlineto stroke 0
       
   133 CLW moveto } def
       
   134 /Bracket { CLW mul add dup CLW sub 2 div /x ED mul CLW add /y ED /z CLW 2
       
   135 div def x neg y moveto x neg CLW 2 div L x CLW 2 div L x y L stroke 0
       
   136 CLW moveto } def
       
   137 /RoundBracket { CLW mul add dup 2 div /x ED mul /y ED /mtrx CM def 0 CLW
       
   138 2 div T x y mul 0 ne { x y scale } if 1 1 moveto .85 .5 .35 0 0 0
       
   139 curveto -.35 0 -.85 .5 -1 1 curveto mtrx setmatrix stroke 0 CLW moveto }
       
   140 def
       
   141 /SD { 0 360 arc fill } def
       
   142 /EndDot { { /z DS def } { /z 0 def } ifelse /b ED 0 z DS SD b { 0 z DS
       
   143 CLW sub SD } if 0 DS z add CLW 4 div sub moveto } def
       
   144 /Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
       
   145 /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
       
   146 load } if ] cvx newpath 3 1 roll T exec } def
       
   147 /NArray { aload length 2 div dup dup cvi eq not { exch pop } if /n exch
       
   148 cvi def } def
       
   149 /NArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop } if
       
   150 f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def
       
   151 /Line { NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub
       
   152 def n { Lineto } repeat CP 4 2 roll ArrowB L pop pop } if } def
       
   153 /Arcto { /a [ 6 -2 roll ] cvx def a r /arcto load stopped { 5 } { 4 }
       
   154 ifelse { pop } repeat a } def
       
   155 /CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq
       
   156 and { pop pop /n n 1 sub def } if } def
       
   157 /Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop }
       
   158 repeat } { n 3 gt { CheckClosed } if n 2 mul -2 roll /y0 ED /x0 ED /y1
       
   159 ED /x1 ED x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1
       
   160 moveto /n n 2 sub def n { Lineto } repeat x1 y1 x0 y0 6 4 roll Lineto
       
   161 Lineto pop pop closepath } ifelse } def
       
   162 /Diamond { /mtrx CM def T rotate /h ED /w ED dup 0 eq { pop } { CLW mul
       
   163 neg /d ED /a w h Atan def /h d a sin Div h add def /w d a cos Div w add
       
   164 def } ifelse mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2
       
   165 div /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
       
   166 setmatrix } def
       
   167 % DG modification begin - Jan. 15, 1997
       
   168 %/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup 0 eq {
       
   169 %pop } { CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
       
   170 %div dup cos exch sin Div mul sub def } ifelse mark 0 d w neg d 0 h w d 0
       
   171 %d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
       
   172 %setmatrix } def
       
   173 /Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup
       
   174 CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
       
   175 div dup cos exch sin Div mul sub def mark 0 d w neg d 0 h w d 0
       
   176 d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
       
   177 % DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
       
   178 % setmatrix } def
       
   179 setmatrix pop } def
       
   180 % DG/SR modification end
       
   181 /CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth
       
   182 def } def
       
   183 /CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth
       
   184 def } def
       
   185 /CC { /l0 l1 def /x1 x dx sub def /y1 y dy sub def /dx0 dx1 def /dy0 dy1
       
   186 def CCA /dx dx0 l1 c exp mul dx1 l0 c exp mul add def /dy dy0 l1 c exp
       
   187 mul dy1 l0 c exp mul add def /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos
       
   188 abs b exp a mul dx dy Pyth Div 2 div def /x2 x l0 dx mul m mul sub def
       
   189 /y2 y l0 dy mul m mul sub def /dx l1 dx mul m mul neg def /dy l1 dy mul
       
   190 m mul neg def } def
       
   191 /IC { /c c 1 add def c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if }
       
   192 ifelse /a a 2 mul 3 div 45 cos b exp div def CCA /dx 0 def /dy 0 def }
       
   193 def
       
   194 /BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
       
   195 /NC { CC x1 y1 x2 y2 x y curveto } def
       
   196 /EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
       
   197 /BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
       
   198 /NAC { x2 y2 x y curveto CC x1 y1 } def
       
   199 /EAC { x2 y2 x y ArrowB curveto pop pop } def
       
   200 /OpenCurve { NArray n 3 lt { n { pop pop } repeat } { BOC /n n 3 sub def
       
   201     n { NC } repeat EOC } ifelse } def
       
   202 /AltCurve { { false NArray n 2 mul 2 roll [ n 2 mul 3 sub 1 roll ] aload
       
   203 /Points ED n 2 mul -2 roll } { false NArray } ifelse n 4 lt { n { pop
       
   204 pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse } def
       
   205 /ClosedCurve { NArray n 3 lt { n { pop pop } repeat } { n 3 gt {
       
   206 CheckClosed } if 6 copy n 2 mul 6 add 6 roll IC CC x y moveto n { NC }
       
   207 repeat closepath pop pop } ifelse } def
       
   208 /SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
       
   209 /ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
       
   210 /SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore }
       
   211 def
       
   212 /FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix
       
   213 rotate matrix concatmatrix exch findfont exch makefont setfont } def
       
   214 /Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto
       
   215 x1 y1 lineto closepath } def
       
   216 /OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1
       
   217 y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div
       
   218 exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse
       
   219 /b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto
       
   220 x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath }
       
   221 ifelse } def
       
   222 /Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add
       
   223 /y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq {
       
   224 pop pop Rect } { OvalFrame } ifelse } def
       
   225 /BezierNArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop
       
   226 } if n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat f { ]
       
   227 aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def
       
   228 /OpenBezier { BezierNArray n 1 eq { pop pop } { ArrowA n 4 sub 3 idiv { 6
       
   229 2 roll 4 2 roll curveto } repeat 6 2 roll 4 2 roll ArrowB curveto }
       
   230 ifelse } def
       
   231 /ClosedBezier { BezierNArray n 1 eq { pop pop } { moveto n 1 sub 3 idiv {
       
   232 6 2 roll 4 2 roll curveto } repeat closepath } ifelse } def
       
   233 /BezierShowPoints { gsave Points aload length 2 div cvi /n ED moveto n 1
       
   234 sub { lineto } repeat CLW 2 div SLW [ 4 4 ] 0 setdash stroke grestore }
       
   235 def
       
   236 /Parab { /y0 exch def /x0 exch def /y1 exch def /x1 exch def /dx x0 x1
       
   237 sub 3 div def /dy y0 y1 sub 3 div def x0 dx sub y0 dy add x1 y1 ArrowA
       
   238 x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB curveto /Points [ x1 y1 x0
       
   239 y0 x0 2 mul x1 sub y1 ] def } def
       
   240 /Grid { newpath /a 4 string def /b ED /c ED /n ED cvi dup 1 lt { pop 1 }
       
   241 if /s ED s div dup 0 eq { pop 1 } if /dy ED s div dup 0 eq { pop 1 } if
       
   242 /dx ED dy div round dy mul /y0 ED dx div round dx mul /x0 ED dy div
       
   243 round cvi /y2 ED dx div round cvi /x2 ED dy div round cvi /y1 ED dx div
       
   244 round cvi /x1 ED /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def /w x2 x1 sub
       
   245 0 gt { 1 } { -1 } ifelse def b 0 gt { /z1 b 4 div CLW 2 div add def
       
   246 /Helvetica findfont b scalefont setfont /b b .95 mul CLW 2 div add def }
       
   247 if systemdict /setstrokeadjust known { true setstrokeadjust /t { } def }
       
   248 { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
       
   249 exch itransform } bind def } ifelse gsave n 0 gt { 1 setlinecap [ 0 dy n
       
   250 div ] dy n div 2 div setdash } { 2 setlinecap } ifelse /i x1 def /f y1
       
   251 dy mul n 0 gt { dy n div 2 div h mul sub } if def /g y2 dy mul n 0 gt {
       
   252 dy n div 2 div h mul add } if def x2 x1 sub w mul 1 add dup 1000 gt {
       
   253 pop 1000 } if { i dx mul dup y0 moveto b 0 gt { gsave c i a cvs dup
       
   254 stringwidth pop /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse h 0 gt {b neg}
       
   255 {z1} ifelse rmoveto show grestore } if dup t f moveto g t L stroke /i i
       
   256 w add def } repeat grestore gsave n 0 gt
       
   257 % DG/SR modification begin - Nov. 7, 1997 - Patch 1
       
   258 %{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash }
       
   259 { 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash }
       
   260 % DG/SR modification end
       
   261 { 2 setlinecap } ifelse /i y1 def /f x1 dx mul
       
   262 n 0 gt { dx n div 2 div w mul sub } if def /g x2 dx mul n 0 gt { dx n
       
   263 div 2 div w mul add } if def y2 y1 sub h mul 1 add dup 1000 gt { pop
       
   264 1000 } if { newpath i dy mul dup x0 exch moveto b 0 gt { gsave c i a cvs
       
   265 dup stringwidth pop /z2 ED w 0 gt {z1 z2 add neg} {z1} ifelse h 0 gt
       
   266 {z1} {b neg} ifelse rmoveto show grestore } if dup f exch t moveto g
       
   267 exch t L stroke /i i h add def } repeat grestore } def
       
   268 /ArcArrow { /d ED /b ED /a ED gsave newpath 0 -1000 moveto clip newpath 0
       
   269 1 0 0 b grestore c mul /e ED pop pop pop r a e d PtoC y add exch x add
       
   270 exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c
       
   271 mul neg d } def
       
   272 /Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def
       
   273 /Rot { CP CP translate 3 -1 roll neg rotate NET  } def
       
   274 /RotBegin { tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 }
       
   275 def } if /TMatrix [ TMatrix CM ] cvx def /a ED a Rot /RAngle [ RAngle
       
   276 dup a add ] cvx def } def
       
   277 /RotEnd { /TMatrix [ TMatrix setmatrix ] cvx def /RAngle [ RAngle pop ]
       
   278 cvx def } def
       
   279 /PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def
       
   280 /PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def
       
   281 /PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def
       
   282 /Uput { /a ED add 2 div /h ED 2 div /w ED /s a sin def /c a cos def /b s
       
   283 abs c abs 2 copy gt dup /q ED { pop } { exch pop } ifelse def /w1 c b
       
   284 div w mul def /h1 s b div h mul def q { w1 abs w sub dup c mul abs } {
       
   285 h1 abs h sub dup s mul abs } ifelse } def
       
   286 /UUput { /z ED abs /y ED /x ED q { x s div c mul abs y gt } { x c div s
       
   287 mul abs y gt } ifelse { x x mul y y mul sub z z mul add sqrt z add } { q
       
   288 { x s div } { x c div } ifelse abs } ifelse a PtoC h1 add exch w1 add
       
   289 exch } def
       
   290 /BeginOL { dup (all) eq exch TheOL eq or { IfVisible not { Visible
       
   291 /IfVisible true def } if } { IfVisible { Invisible /IfVisible false def
       
   292 } if } ifelse } def
       
   293 /InitOL { /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def
       
   294 /Visible { CP OLUnit idtransform T moveto } def /Invisible { CP OLUnit
       
   295 neg exch neg exch idtransform T moveto } def /BOL { BeginOL } def
       
   296 /IfVisible true def } def
       
   297 end
       
   298 % END pstricks.pro
       
   299 
       
   300 %%EndProcSet
       
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   302 %!PS-Adobe-2.0
       
   303 %%Title: Dot Font for PSTricks
       
   304 %%Creator: Timothy Van Zandt <tvz@Princeton.EDU>
       
   305 %%Creation Date: May 7, 1993
       
   306 %% Version 97 patch 1, 99/12/16
       
   307 %% Modified by Etienne Riga <etienne.riga@skynet.be> - Dec. 16, 1999
       
   308 %% to add /Diamond, /SolidDiamond and /BoldDiamond
       
   309 10 dict dup begin
       
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   312   /FontBBox [ 0 0 0 0 ] def
       
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   314   0 1 255 { Encoding exch /.notdef put } for
       
   315   Encoding
       
   316     dup (b) 0 get /Bullet put
       
   317     dup (c) 0 get /Circle put
       
   318     dup (C) 0 get /BoldCircle put
       
   319     dup (u) 0 get /SolidTriangle put
       
   320     dup (t) 0 get /Triangle put
       
   321     dup (T) 0 get /BoldTriangle put
       
   322     dup (r) 0 get /SolidSquare put
       
   323     dup (s) 0 get /Square put
       
   324     dup (S) 0 get /BoldSquare put
       
   325     dup (q) 0 get /SolidPentagon put
       
   326     dup (p) 0 get /Pentagon put
       
   327     dup (P) 0 get /BoldPentagon put
       
   328 % DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga
       
   329     dup (l) 0 get /SolidDiamond put
       
   330     dup (d) 0 get /Diamond put
       
   331         (D) 0 get /BoldDiamond put
       
   332 % DG/SR modification end
       
   333   /Metrics 13 dict def
       
   334   Metrics begin
       
   335     /Bullet        1000   def
       
   336     /Circle        1000   def
       
   337     /BoldCircle    1000   def
       
   338     /SolidTriangle 1344   def
       
   339     /Triangle      1344   def
       
   340     /BoldTriangle  1344   def
       
   341     /SolidSquare    886   def
       
   342     /Square         886   def
       
   343     /BoldSquare     886   def
       
   344     /SolidPentagon 1093.2 def
       
   345     /Pentagon      1093.2 def
       
   346     /BoldPentagon  1093.2 def
       
   347 % DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga
       
   348     /SolidDiamond  1008   def
       
   349     /Diamond       1008   def
       
   350     /BoldDiamond   1008   def
       
   351 % DG/SR modification end
       
   352     /.notdef 0 def
       
   353   end
       
   354   /BBoxes 13 dict def
       
   355   BBoxes begin
       
   356     /Circle        { -550 -550 550 550 } def
       
   357     /BoldCircle    /Circle load def
       
   358     /Bullet        /Circle load def
       
   359     /Triangle      { -571.5 -330 571.5 660 } def
       
   360     /BoldTriangle  /Triangle load def
       
   361     /SolidTriangle /Triangle load def
       
   362     /Square        { -450 -450 450 450 } def
       
   363     /BoldSquare    /Square load def
       
   364     /SolidSquare   /Square load def
       
   365     /Pentagon      { -546.6 -465 546.6 574.7 } def
       
   366     /BoldPentagon  /Pentagon load def
       
   367     /SolidPentagon /Pentagon load def
       
   368 % DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga
       
   369     /Diamond       { -428.5 -742.5 428.5 742.5 } def
       
   370     /BoldDiamond   /Diamond load def
       
   371     /SolidDiamond  /Diamond load def
       
   372 % DG/SR modification end
       
   373     /.notdef { 0 0 0 0 } def
       
   374   end
       
   375   /CharProcs 20 dict def
       
   376   CharProcs begin
       
   377     /Adjust {
       
   378       2 copy dtransform floor .5 add exch floor .5 add exch idtransform
       
   379       3 -1 roll div 3 1 roll exch div exch scale
       
   380     } def
       
   381     /CirclePath    { 0 0 500 0 360 arc closepath } def
       
   382     /Bullet        { 500 500 Adjust CirclePath fill } def
       
   383     /Circle        { 500 500 Adjust CirclePath .9 .9 scale CirclePath
       
   384                      eofill } def
       
   385     /BoldCircle    { 500 500 Adjust CirclePath .8 .8 scale CirclePath
       
   386                      eofill } def
       
   387     /BoldCircle    { CirclePath .8 .8 scale CirclePath eofill } def
       
   388     /TrianglePath  { 0  660 moveto -571.5 -330 lineto 571.5 -330 lineto
       
   389                      closepath } def
       
   390     /SolidTriangle { TrianglePath fill } def
       
   391     /Triangle      { TrianglePath .85 .85 scale TrianglePath eofill } def
       
   392     /BoldTriangle  { TrianglePath .7 .7 scale TrianglePath eofill } def
       
   393     /SquarePath    { -450 450 moveto 450 450 lineto 450 -450 lineto
       
   394                      -450 -450 lineto closepath } def
       
   395     /SolidSquare   { SquarePath fill } def
       
   396     /Square        { SquarePath .89 .89 scale SquarePath eofill } def
       
   397     /BoldSquare    { SquarePath .78 .78 scale SquarePath eofill } def
       
   398     /PentagonPath  {
       
   399       -337.8 -465   moveto
       
   400        337.8 -465   lineto
       
   401        546.6  177.6 lineto
       
   402          0    574.7 lineto
       
   403       -546.6  177.6 lineto
       
   404       closepath
       
   405     } def
       
   406     /SolidPentagon { PentagonPath fill } def
       
   407     /Pentagon      { PentagonPath .89 .89 scale PentagonPath eofill } def
       
   408     /BoldPentagon  { PentagonPath .78 .78 scale PentagonPath eofill } def
       
   409 % DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga
       
   410     /DiamondPath   { 0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto
       
   411                      428.5 0 lineto closepath } def
       
   412     /SolidDiamond  { DiamondPath fill } def
       
   413     /Diamond       { DiamondPath .85 .85 scale DiamondPath eofill } def
       
   414     /BoldDiamond   { DiamondPath .7 .7 scale DiamondPath eofill } def
       
   415 % DG/SR modification end
       
   416     /.notdef { } def
       
   417   end
       
   418   /BuildGlyph {
       
   419     exch
       
   420     begin
       
   421       Metrics 1 index get exec 0
       
   422       BBoxes 3 index get exec
       
   423       setcachedevice
       
   424       CharProcs begin load exec end
       
   425     end
       
   426   } def
       
   427   /BuildChar {
       
   428     1 index /Encoding get exch get
       
   429     1 index /BuildGlyph get exec
       
   430   } bind def
       
   431 end
       
   432 /PSTricksDotFont exch definefont pop
       
   433 %END pst-dots.pro
       
   434 
       
   435 %%EndProcSet
       
   436 %%BeginProcSet: pst-node.pro 0 0
       
   437 %!
       
   438 % PostScript prologue for pst-node.tex.
       
   439 % Version 97 patch 1, 97/05/09.
       
   440 % For distribution, see pstricks.tex.
       
   441 %
       
   442 /tx@NodeDict 400 dict def tx@NodeDict begin
       
   443 tx@Dict begin /T /translate load def end
       
   444 /NewNode { gsave /next ED dict dup 3 1 roll def exch { dup 3 1 roll def }
       
   445 if begin tx@Dict begin STV CP T exec end /NodeMtrx CM def next end
       
   446 grestore } def
       
   447 /InitPnode { /Y ED /X ED /NodePos { NodeSep Cos mul NodeSep Sin mul } def
       
   448 } def
       
   449 /InitCnode { /r ED /Y ED /X ED /NodePos { NodeSep r add dup Cos mul exch
       
   450 Sin mul } def } def
       
   451 /GetRnodePos { Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def
       
   452 } ifelse Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def }
       
   453 ifelse dx Sin mul abs dy Cos mul abs gt { dy Cos mul Sin div dy } { dx
       
   454 dup Sin mul Cos Div } ifelse } def
       
   455 /InitRnode { /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub
       
   456 /u ED /NodePos { GetRnodePos } def } def
       
   457 /DiaNodePos { w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup
       
   458 Cos mul exch Sin mul } def
       
   459 /TriNodePos { Sin s lt { d NodeSep sub dup Cos mul Sin Div exch } { w h
       
   460 mul w Sin mul h Cos abs mul add Div NodeSep add dup Cos mul exch Sin mul
       
   461 } ifelse } def
       
   462 /InitTriNode { sub 2 div exch 2 div exch 2 copy T 2 copy 4 index index /d
       
   463 ED pop pop pop pop -90 mul rotate /NodeMtrx CM def /X 0 def /Y 0 def d
       
   464 sub abs neg /d ED d add /h ED 2 div h mul h d sub Div /w ED /s d w Atan
       
   465 sin def /NodePos { TriNodePos } def } def
       
   466 /OvalNodePos { /ww w NodeSep add def /hh h NodeSep add def Sin ww mul Cos
       
   467 hh mul Atan dup cos ww mul exch sin hh mul } def
       
   468 /GetCenter { begin X Y NodeMtrx transform CM itransform end } def
       
   469 /XYPos { dup sin exch cos Do /Cos ED /Sin ED /Dist ED Cos 0 gt { Dist
       
   470 Dist Sin mul Cos div } { Cos 0 lt { Dist neg Dist Sin mul Cos div neg }
       
   471 { 0 Dist Sin mul } ifelse } ifelse Do } def
       
   472 /GetEdge { dup 0 eq { pop begin 1 0 NodeMtrx dtransform CM idtransform
       
   473 exch atan sub dup sin /Sin ED cos /Cos ED /NodeSep ED NodePos NodeMtrx
       
   474 dtransform CM idtransform end } { 1 eq {{exch}} {{}} ifelse /Do ED pop
       
   475 XYPos } ifelse } def
       
   476 /AddOffset { 1 index 0 eq { pop pop } { 2 copy 5 2 roll cos mul add 4 1
       
   477 roll sin mul sub exch } ifelse } def
       
   478 /GetEdgeA { NodeSepA AngleA NodeA NodeSepTypeA GetEdge OffsetA AngleA
       
   479 AddOffset yA add /yA1 ED xA add /xA1 ED } def
       
   480 /GetEdgeB { NodeSepB AngleB NodeB NodeSepTypeB GetEdge OffsetB AngleB
       
   481 AddOffset yB add /yB1 ED xB add /xB1 ED } def
       
   482 /GetArmA { ArmTypeA 0 eq { /xA2 ArmA AngleA cos mul xA1 add def /yA2 ArmA
       
   483 AngleA sin mul yA1 add def } { ArmTypeA 1 eq {{exch}} {{}} ifelse /Do ED
       
   484 ArmA AngleA XYPos OffsetA AngleA AddOffset yA add /yA2 ED xA add /xA2 ED
       
   485 } ifelse } def
       
   486 /GetArmB { ArmTypeB 0 eq { /xB2 ArmB AngleB cos mul xB1 add def /yB2 ArmB
       
   487 AngleB sin mul yB1 add def } { ArmTypeB 1 eq {{exch}} {{}} ifelse /Do ED
       
   488 ArmB AngleB XYPos OffsetB AngleB AddOffset yB add /yB2 ED xB add /xB2 ED
       
   489 } ifelse } def
       
   490 /InitNC { /b ED /a ED /NodeSepTypeB ED /NodeSepTypeA ED /NodeSepB ED
       
   491 /NodeSepA ED /OffsetB ED /OffsetA ED tx@NodeDict a known tx@NodeDict b
       
   492 known and dup { /NodeA a load def /NodeB b load def NodeA GetCenter /yA
       
   493 ED /xA ED NodeB GetCenter /yB ED /xB ED } if } def
       
   494 /LPutLine { 4 copy 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED 1 t sub
       
   495 mul 3 1 roll 1 t sub mul 4 1 roll t mul add /Y ED t mul add /X ED } def
       
   496 /LPutLines { mark LPutVar counttomark 2 div 1 sub /n ED t floor dup n gt
       
   497 { pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse cvi 2 mul { pop
       
   498 } repeat LPutLine cleartomark } def
       
   499 /BezierMidpoint { /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED
       
   500 /t ED /cx x1 x0 sub 3 mul def /cy y1 y0 sub 3 mul def /bx x2 x1 sub 3
       
   501 mul cx sub def /by y2 y1 sub 3 mul cy sub def /ax x3 x0 sub cx sub bx
       
   502 sub def /ay y3 y0 sub cy sub by sub def ax t 3 exp mul bx t t mul mul
       
   503 add cx t mul add x0 add ay t 3 exp mul by t t mul mul add cy t mul add
       
   504 y0 add 3 ay t t mul mul mul 2 by t mul mul add cy add 3 ax t t mul mul
       
   505 mul 2 bx t mul mul add cx add atan /NAngle ED /Y ED /X ED } def
       
   506 /HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def
       
   507 } def
       
   508 /HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def
       
   509 /NAngle yyB yyA sub xxB xxA sub Atan def } def
       
   510 /HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd  } def
       
   511 /HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def
       
   512 } ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit
       
   513 } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd 
       
   514 } def
       
   515 /VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def
       
   516 } def
       
   517 /VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def
       
   518 /NAngle yyB yyA sub xxB xxA sub Atan def } def
       
   519 /VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd  } def
       
   520 /VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def
       
   521 } ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check {
       
   522 exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark
       
   523 VPosEnd  } def
       
   524 /HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2
       
   525 roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx
       
   526 def grestore exec /LPutVar /SaveLPutVar load def } def
       
   527 /NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def
       
   528 GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos {
       
   529 LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos {
       
   530 LPutVar VPutLine } def LPutVar } def
       
   531 /NCLine { NCCoor tx@Dict begin ArrowA CP 4 2 roll ArrowB lineto pop pop
       
   532 end } def
       
   533 /NCLines { false NArray n 0 eq { NCLine } { 2 copy yA sub exch xA sub
       
   534 Atan /AngleA ED n 2 mul dup index exch index yB sub exch xB sub Atan
       
   535 /AngleB ED GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1
       
   536 yA1 ] cvx def mark LPutVar tx@Dict begin false Line end /LPutPos {
       
   537 LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def }
       
   538 ifelse } def
       
   539 /NCCurve { GetEdgeA GetEdgeB xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1
       
   540 roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA
       
   541 GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict
       
   542 begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ]
       
   543 cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines
       
   544 } HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def
       
   545 /NCAngles { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate
       
   546 def xA2 yA2 mtrx transform pop xB2 yB2 mtrx transform exch pop mtrx
       
   547 itransform /y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA2
       
   548 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end /LPutVar [ xB1
       
   549 yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { LPutLines } def
       
   550 /HPutPos { HPutLines } def /VPutPos { VPutLines } def } def
       
   551 /NCAngle { GetEdgeA GetEdgeB GetArmB /mtrx AngleA matrix rotate def xB2
       
   552 yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform
       
   553 /y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA1 yA1
       
   554 tx@Dict begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ]
       
   555 cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos {
       
   556 VPutLines } def } def
       
   557 /NCBar { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate def
       
   558 xA2 yA2 mtrx itransform pop xB2 yB2 mtrx itransform pop sub dup 0 mtrx
       
   559 transform 3 -1 roll 0 gt { /yB2 exch yB2 add def /xB2 exch xB2 add def }
       
   560 { /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse mark ArmB
       
   561 0 ne { xB1 yB1 } if xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict
       
   562 begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx
       
   563 def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos {
       
   564 VPutLines } def } def
       
   565 /NCDiag { GetEdgeA GetEdgeB GetArmA GetArmB mark ArmB 0 ne { xB1 yB1 } if
       
   566 xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end
       
   567 /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def /LPutPos {
       
   568 LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def }
       
   569 def
       
   570 /NCDiagg { GetEdgeA GetArmA yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED
       
   571 GetEdgeB mark xB1 yB1 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin
       
   572 false Line end /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def /LPutPos {
       
   573 LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def }
       
   574 def
       
   575 /NCLoop { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate
       
   576 def xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED /xB3 xB2 yB2
       
   577 mtrx transform pop def xB3 yA3 mtrx itransform /yB3 ED /xB3 ED xA3 yA3
       
   578 mtrx itransform /yA3 ED /xA3 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2
       
   579 xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false
       
   580 Line end /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ]
       
   581 cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos {
       
   582 VPutLines } def } def
       
   583 % DG/SR modification begin - May 9, 1997 - Patch 1
       
   584 %/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r
       
   585 %r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add
       
   586 %exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360
       
   587 %mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED
       
   588 /NCCircle { NodeSepA 0 NodeA 0 GetEdge pop 2 div dup 2 exp r
       
   589 r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add
       
   590 exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360
       
   591 mul add dup 5 1 roll 90 sub PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED
       
   592 % DG/SR modification end
       
   593 } def /HPutPos { LPutPos } def /VPutPos { LPutPos } def r AngleA 90 sub a add
       
   594 AngleA 270 add a sub tx@Dict begin /angleB ED /angleA ED /r ED /c 57.2957 r
       
   595 Div def /y ED /x ED } def
       
   596 /NCBox { /d ED /h ED /AngleB yB yA sub xB xA sub Atan def /AngleA AngleB
       
   597 180 add def GetEdgeA GetEdgeB /dx d AngleB sin mul def /dy d AngleB cos
       
   598 mul neg def /hx h AngleB sin mul neg def /hy h AngleB cos mul def
       
   599 /LPutVar [ xA1 hx add yA1 hy add xB1 hx add yB1 hy add xB1 dx add yB1 dy
       
   600 add xA1 dx add yA1 dy add ] cvx def /LPutPos { LPutLines } def /HPutPos
       
   601 { xB yB xA yA LPutLine } def /VPutPos { HPutPos } def mark LPutVar
       
   602 tx@Dict begin false Polygon end } def
       
   603 /NCArcBox { /l ED neg /d ED /h ED /a ED /AngleA yB yA sub xB xA sub Atan
       
   604 def /AngleB AngleA 180 add def /tA AngleA a sub 90 add def /tB tA a 2
       
   605 mul add def /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def
       
   606 /x0 xA r tA cos mul add def /y0 yA r tA sin mul add def /c 57.2958 r div
       
   607 def /AngleA AngleA a sub 180 add def /AngleB AngleB a add 180 add def
       
   608 GetEdgeA GetEdgeB /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul
       
   609 sub def /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def l 0
       
   610 eq { x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn }
       
   611 { x0 y0 translate /tA AngleA l c mul add def /tB AngleB l c mul sub def
       
   612 0 0 r h add tA tB arc r h add AngleB PtoC r d add AngleB PtoC 2 copy 6 2
       
   613 roll l arcto 4 { pop } repeat r d add tB PtoC l arcto 4 { pop } repeat 0
       
   614 0 r d add tB tA arcn r d add AngleA PtoC r h add AngleA PtoC 2 copy 6 2
       
   615 roll l arcto 4 { pop } repeat r h add tA PtoC l arcto 4 { pop } repeat }
       
   616 ifelse closepath /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def /LPutPos
       
   617 { LPutVar /d ED /h ED /AngleB ED /AngleA ED /r ED /y0 ED /x0 ED t 1 le {
       
   618 r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC }
       
   619 { t 2 lt { /NAngle AngleB 180 add def r 2 t sub h mul t 1 sub d mul add
       
   620 add AngleB PtoC } { t 3 lt { r d add AngleB 3 t sub mul AngleA 2 t sub
       
   621 mul add dup 90 sub /NAngle ED PtoC } { /NAngle AngleA 180 add def r 4 t
       
   622 sub d mul t 3 sub h mul add add AngleA PtoC } ifelse } ifelse } ifelse
       
   623 y0 add /Y ED x0 add /X ED } def /HPutPos { LPutPos } def /VPutPos {
       
   624 LPutPos } def } def
       
   625 /Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yB
       
   626 sub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1
       
   627 ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xB
       
   628 w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos
       
   629 { LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop }
       
   630 { pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine }
       
   631 def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin
       
   632 /ArrowA { moveto } def /ArrowB { } def false Line closepath end } def
       
   633 /LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg
       
   634 exch X sub neg exch moveto setmatrix CP grestore } def
       
   635 /LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0
       
   636 def } ifelse LPutCoor  } def
       
   637 /HPutAdjust { Sin Cos mul 0 eq { 0 } { d Cos mul Sin div flag not { neg }
       
   638 if h Cos mul Sin div flag { neg } if 2 copy gt { pop } { exch pop }
       
   639 ifelse } ifelse s add flag { r add neg } { l add } ifelse X add /X ED }
       
   640 def
       
   641 /VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if
       
   642 r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop }
       
   643 ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED }
       
   644 def
       
   645 end
       
   646 % END pst-node.pro
       
   647 
       
   648 %%EndProcSet
       
   649 %%BeginProcSet: pst-text.pro 0 0
       
   650 %!
       
   651 % PostScript header file pst-text.pro
       
   652 % Version 97, 94/04/20; patched MV 10-09-99 00:36
       
   653 % For distribution, see pstricks.tex.
       
   654 
       
   655 /tx@TextPathDict 40 dict def
       
   656 tx@TextPathDict begin
       
   657 
       
   658 % Syntax:  <dist> PathPosition -
       
   659 % Function: Searches for position of currentpath distance <dist> from
       
   660 %           beginning. Sets (X,Y)=position, and Angle=tangent.
       
   661 /PathPosition
       
   662 { /targetdist exch def
       
   663   /pathdist 0 def
       
   664   /continue true def
       
   665   /X { newx } def /Y { newy } def /Angle 0 def
       
   666   gsave
       
   667     flattenpath
       
   668     { movetoproc }  { linetoproc } { } { firstx firsty linetoproc }
       
   669     /pathforall load stopped { pop pop pop pop /X 0 def /Y 0 def } if
       
   670   grestore
       
   671 } def
       
   672 
       
   673 /movetoproc { continue { @movetoproc } { pop pop } ifelse } def
       
   674 
       
   675 /@movetoproc
       
   676 { /newy exch def /newx exch def
       
   677   /firstx newx def /firsty newy def
       
   678 } def
       
   679 
       
   680 /linetoproc { continue { @linetoproc } { pop pop } ifelse } def
       
   681 
       
   682 /@linetoproc
       
   683 {
       
   684   /oldx newx def /oldy newy def
       
   685   /newy exch def /newx exch def
       
   686   /dx newx oldx sub def
       
   687   /dy newy oldy sub def
       
   688   /dist dx dup mul dy dup mul add sqrt def
       
   689   /pathdist pathdist dist add def
       
   690   pathdist targetdist ge
       
   691   { pathdist targetdist sub dist div dup
       
   692     dy mul neg newy add /Y exch def
       
   693     dx mul neg newx add /X exch def
       
   694     /Angle dy dx atan def
       
   695     /continue false def
       
   696   } if
       
   697 } def
       
   698 
       
   699 /TextPathShow
       
   700 { /String exch def
       
   701   /CharCount 0 def
       
   702   String length
       
   703   { String CharCount 1 getinterval ShowChar
       
   704     /CharCount CharCount 1 add def
       
   705   } repeat
       
   706 } def
       
   707 
       
   708 % Syntax: <pathlength> <position> InitTextPath -
       
   709 /InitTextPath
       
   710 { gsave
       
   711     currentpoint /Y exch def /X exch def
       
   712     exch X Hoffset sub sub mul
       
   713     Voffset Hoffset sub add
       
   714     neg X add /Hoffset exch def
       
   715     /Voffset Y def
       
   716   grestore
       
   717 } def
       
   718 
       
   719 /Transform
       
   720 { PathPosition
       
   721   dup
       
   722   Angle cos mul Y add exch
       
   723   Angle sin mul neg X add exch
       
   724   translate
       
   725   Angle rotate
       
   726 } def
       
   727 
       
   728 /ShowChar
       
   729 { /Char exch def
       
   730   gsave
       
   731     Char end stringwidth
       
   732     tx@TextPathDict begin
       
   733     2 div /Sy exch def 2 div /Sx exch def
       
   734 
       
   735 %%%  MV 10-09-99 00:36
       
   736     /sc?currentpoint where {pop sc?currentpoint} {currentpoint} ifelse
       
   737 %   currentpoint
       
   738 
       
   739     Voffset sub Sy add exch
       
   740     Hoffset sub Sx add
       
   741     Transform
       
   742     Sx neg Sy neg moveto
       
   743     Char end tx@TextPathSavedShow
       
   744     tx@TextPathDict begin
       
   745   grestore
       
   746   Sx 2 mul Sy 2 mul rmoveto
       
   747 } def
       
   748 
       
   749 end
       
   750 % END pst-text.pro
       
   751 
       
   752 %%EndProcSet
       
   753 %%BeginProcSet: 8r.enc 0 0
       
   754 % File 8r.enc  TeX Base 1 Encoding  Revision 2.0  2002-10-30
       
   755 %
       
   756 % @@psencodingfile@{
       
   757 %   author    = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry,
       
   758 %                W. Schmidt, P. Lehman",
       
   759 %   version   = "2.0",
       
   760 %   date      = "30 October 2002",
       
   761 %   filename  = "8r.enc",
       
   762 %   email     = "tex-fonts@@tug.org",
       
   763 %   docstring = "This is the encoding vector for Type1 and TrueType
       
   764 %                fonts to be used with TeX.  This file is part of the
       
   765 %                PSNFSS bundle, version 9"
       
   766 % @}
       
   767 % 
       
   768 % The idea is to have all the characters normally included in Type 1 fonts
       
   769 % available for typesetting. This is effectively the characters in Adobe
       
   770 % Standard encoding, ISO Latin 1, Windows ANSI including the euro symbol,
       
   771 % MacRoman, and some extra characters from Lucida.
       
   772 % 
       
   773 % Character code assignments were made as follows:
       
   774 % 
       
   775 % (1) the Windows ANSI characters are almost all in their Windows ANSI
       
   776 % positions, because some Windows users cannot easily reencode the
       
   777 % fonts, and it makes no difference on other systems. The only Windows
       
   778 % ANSI characters not available are those that make no sense for
       
   779 % typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen
       
   780 % (173). quotesingle and grave are moved just because it's such an
       
   781 % irritation not having them in TeX positions.
       
   782 % 
       
   783 % (2) Remaining characters are assigned arbitrarily to the lower part
       
   784 % of the range, avoiding 0, 10 and 13 in case we meet dumb software.
       
   785 % 
       
   786 % (3) Y&Y Lucida Bright includes some extra text characters; in the
       
   787 % hopes that other PostScript fonts, perhaps created for public
       
   788 % consumption, will include them, they are included starting at 0x12.
       
   789 % These are /dotlessj /ff /ffi /ffl.
       
   790 % 
       
   791 % (4) hyphen appears twice for compatibility with both ASCII and Windows.
       
   792 %
       
   793 % (5) /Euro was assigned to 128, as in Windows ANSI
       
   794 %
       
   795 % (6) Missing characters from MacRoman encoding incorporated as follows:
       
   796 %
       
   797 %     PostScript      MacRoman        TeXBase1
       
   798 %     --------------  --------------  --------------
       
   799 %     /notequal       173             0x16
       
   800 %     /infinity       176             0x17
       
   801 %     /lessequal      178             0x18
       
   802 %     /greaterequal   179             0x19
       
   803 %     /partialdiff    182             0x1A
       
   804 %     /summation      183             0x1B
       
   805 %     /product        184             0x1C
       
   806 %     /pi             185             0x1D
       
   807 %     /integral       186             0x81
       
   808 %     /Omega          189             0x8D
       
   809 %     /radical        195             0x8E
       
   810 %     /approxequal    197             0x8F
       
   811 %     /Delta          198             0x9D
       
   812 %     /lozenge        215             0x9E
       
   813 %
       
   814 /TeXBase1Encoding [
       
   815 % 0x00
       
   816  /.notdef /dotaccent /fi /fl
       
   817  /fraction /hungarumlaut /Lslash /lslash
       
   818  /ogonek /ring /.notdef /breve
       
   819  /minus /.notdef /Zcaron /zcaron
       
   820 % 0x10
       
   821  /caron /dotlessi /dotlessj /ff
       
   822  /ffi /ffl /notequal /infinity
       
   823  /lessequal /greaterequal /partialdiff /summation
       
   824  /product /pi /grave /quotesingle
       
   825 % 0x20
       
   826  /space /exclam /quotedbl /numbersign
       
   827  /dollar /percent /ampersand /quoteright
       
   828  /parenleft /parenright /asterisk /plus
       
   829  /comma /hyphen /period /slash
       
   830 % 0x30
       
   831  /zero /one /two /three
       
   832  /four /five /six /seven
       
   833  /eight /nine /colon /semicolon
       
   834  /less /equal /greater /question
       
   835 % 0x40
       
   836  /at /A /B /C
       
   837  /D /E /F /G
       
   838  /H /I /J /K
       
   839  /L /M /N /O
       
   840 % 0x50
       
   841  /P /Q /R /S
       
   842  /T /U /V /W
       
   843  /X /Y /Z /bracketleft
       
   844  /backslash /bracketright /asciicircum /underscore
       
   845 % 0x60
       
   846  /quoteleft /a /b /c
       
   847  /d /e /f /g
       
   848  /h /i /j /k
       
   849  /l /m /n /o
       
   850 % 0x70
       
   851  /p /q /r /s
       
   852  /t /u /v /w
       
   853  /x /y /z /braceleft
       
   854  /bar /braceright /asciitilde /.notdef
       
   855 % 0x80
       
   856  /Euro /integral /quotesinglbase /florin
       
   857  /quotedblbase /ellipsis /dagger /daggerdbl
       
   858  /circumflex /perthousand /Scaron /guilsinglleft
       
   859  /OE /Omega /radical /approxequal
       
   860 % 0x90
       
   861  /.notdef /.notdef /.notdef /quotedblleft
       
   862  /quotedblright /bullet /endash /emdash
       
   863  /tilde /trademark /scaron /guilsinglright
       
   864  /oe /Delta /lozenge /Ydieresis
       
   865 % 0xA0
       
   866  /.notdef /exclamdown /cent /sterling
       
   867  /currency /yen /brokenbar /section
       
   868  /dieresis /copyright /ordfeminine /guillemotleft
       
   869  /logicalnot /hyphen /registered /macron
       
   870 % 0xD0
       
   871  /degree /plusminus /twosuperior /threesuperior
       
   872  /acute /mu /paragraph /periodcentered
       
   873  /cedilla /onesuperior /ordmasculine /guillemotright
       
   874  /onequarter /onehalf /threequarters /questiondown
       
   875 % 0xC0
       
   876  /Agrave /Aacute /Acircumflex /Atilde
       
   877  /Adieresis /Aring /AE /Ccedilla
       
   878  /Egrave /Eacute /Ecircumflex /Edieresis
       
   879  /Igrave /Iacute /Icircumflex /Idieresis
       
   880 % 0xD0
       
   881  /Eth /Ntilde /Ograve /Oacute
       
   882  /Ocircumflex /Otilde /Odieresis /multiply
       
   883  /Oslash /Ugrave /Uacute /Ucircumflex
       
   884  /Udieresis /Yacute /Thorn /germandbls
       
   885 % 0xE0
       
   886  /agrave /aacute /acircumflex /atilde
       
   887  /adieresis /aring /ae /ccedilla
       
   888  /egrave /eacute /ecircumflex /edieresis
       
   889  /igrave /iacute /icircumflex /idieresis
       
   890 % 0xF0
       
   891  /eth /ntilde /ograve /oacute
       
   892  /ocircumflex /otilde /odieresis /divide
       
   893  /oslash /ugrave /uacute /ucircumflex
       
   894  /udieresis /yacute /thorn /ydieresis
       
   895 ] def
       
   896 
       
   897 
       
   898 %%EndProcSet
       
   899 %%BeginProcSet: texmital.enc 0 0
       
   900 % TeX math italic encoding.
       
   901 % No ligatures or kerns.
       
   902 % 
       
   903 /TeXMathItalicEncoding [          % now 256 chars follow
       
   904 % 0x0
       
   905 /Gamma
       
   906 /Delta
       
   907 /Theta
       
   908 /Lambda
       
   909 /Xi
       
   910 /Pi
       
   911 /Sigma
       
   912 /Upsilon
       
   913 
       
   914 % 0x8
       
   915 /Phi
       
   916 /Psi
       
   917 /Omega
       
   918 /alpha
       
   919 /beta
       
   920 /gamma
       
   921 /delta
       
   922 /epsilon1
       
   923 
       
   924 % 0x10
       
   925 /zeta
       
   926 /eta
       
   927 /theta
       
   928 /iota
       
   929 /kappa
       
   930 /lambda
       
   931 /mu
       
   932 /nu
       
   933 
       
   934 % 0x18
       
   935 /xi
       
   936 /pi
       
   937 /rho
       
   938 /sigma
       
   939 /tau
       
   940 /upsilon
       
   941 /phi
       
   942 /chi
       
   943 
       
   944 % 0x20
       
   945 /psi
       
   946 /omega
       
   947 /epsilon
       
   948 /theta1
       
   949 /pi1
       
   950 /rho1
       
   951 /sigma1
       
   952 /phi1
       
   953 
       
   954 % 0x28
       
   955 /arrowlefttophalf
       
   956 /arrowleftbothalf
       
   957 /arrowrighttophalf
       
   958 /arrowrightbothalf
       
   959 /arrowhookleft
       
   960 /arrowhookright
       
   961 /triangleright
       
   962 /triangleleft
       
   963 
       
   964 % 0x30
       
   965 /zerooldstyle
       
   966 /oneoldstyle
       
   967 /twooldstyle
       
   968 /threeoldstyle
       
   969 /fouroldstyle
       
   970 /fiveoldstyle
       
   971 /sixoldstyle
       
   972 /sevenoldstyle
       
   973 
       
   974 % 0x38
       
   975 /eightoldstyle
       
   976 /nineoldstyle
       
   977 /period
       
   978 /comma
       
   979 /less
       
   980 /slash
       
   981 /greater
       
   982 /star
       
   983 
       
   984 % 0x40
       
   985 /partialdiff
       
   986 /A
       
   987 /B
       
   988 /C
       
   989 /D
       
   990 /E
       
   991 /F
       
   992 /G
       
   993 
       
   994 % 0x48
       
   995 /H
       
   996 /I
       
   997 /J
       
   998 /K
       
   999 /L
       
  1000 /M
       
  1001 /N
       
  1002 /O
       
  1003 
       
  1004 % 0x50
       
  1005 /P
       
  1006 /Q
       
  1007 /R
       
  1008 /S
       
  1009 /T
       
  1010 /U
       
  1011 /V
       
  1012 /W
       
  1013 
       
  1014 % 0x58
       
  1015 /X
       
  1016 /Y
       
  1017 /Z
       
  1018 /flat
       
  1019 /natural
       
  1020 /sharp
       
  1021 /slurbelow
       
  1022 /slurabove
       
  1023 
       
  1024 % 0x60
       
  1025 /lscript
       
  1026 /a
       
  1027 /b
       
  1028 /c
       
  1029 /d
       
  1030 /e
       
  1031 /f
       
  1032 /g
       
  1033 
       
  1034 % 0x68
       
  1035 /h
       
  1036 /i
       
  1037 /j
       
  1038 /k
       
  1039 /l
       
  1040 /m
       
  1041 /n
       
  1042 /o
       
  1043 
       
  1044 % 0x70
       
  1045 /p
       
  1046 /q
       
  1047 /r
       
  1048 /s
       
  1049 /t
       
  1050 /u
       
  1051 /v
       
  1052 /w
       
  1053 
       
  1054 % 0x78
       
  1055 /x
       
  1056 /y
       
  1057 /z
       
  1058 /dotlessi
       
  1059 /dotlessj
       
  1060 /weierstrass
       
  1061 /vector
       
  1062 /tie
       
  1063 
       
  1064 % Have to have 128 .notdef's now to fill things out.
       
  1065 % 
       
  1066 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1067 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1068 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1069 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1070 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1071 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1072 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1073 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1074 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1075 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1076 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1077 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1078 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1079 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1080 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1081 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 
       
  1082 ] def
       
  1083 
       
  1084 %%EndProcSet
       
  1085 %%BeginProcSet: texps.pro 0 0
       
  1086 %!
       
  1087 TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2
       
  1088 index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll
       
  1089 exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0
       
  1090 ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{
       
  1091 pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get
       
  1092 div def}ifelse}forall Metrics/Metrics currentdict end def}{{1 index type
       
  1093 /nametype eq{exit}if exch pop}loop}ifelse[2 index currentdict end
       
  1094 definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup
       
  1095 sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll
       
  1096 mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[
       
  1097 exch{dup CharStrings exch known not{pop/.notdef/Encoding true def}if}
       
  1098 forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def}def
       
  1099 end
       
  1100 
       
  1101 %%EndProcSet
       
  1102 %%BeginProcSet: special.pro 0 0
       
  1103 %!
       
  1104 TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N
       
  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
       
  1106 /rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N
       
  1107 /@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{
       
  1108 /hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho
       
  1109 X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B
       
  1110 /@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{
       
  1111 /urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known
       
  1112 {userdict/md get type/dicttype eq{userdict begin md length 10 add md
       
  1113 maxlength ge{/md md dup length 20 add dict copy def}if end md begin
       
  1114 /letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S
       
  1115 atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{
       
  1116 itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll
       
  1117 transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll
       
  1118 curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf
       
  1119 pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack}
       
  1120 if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1
       
  1121 -1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3
       
  1122 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip
       
  1123 yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub
       
  1124 neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{
       
  1125 noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop
       
  1126 90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get
       
  1127 neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr
       
  1128 1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr
       
  1129 2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4
       
  1130 -1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S
       
  1131 TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{
       
  1132 Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale
       
  1133 }if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState
       
  1134 save N userdict maxlength dict begin/magscale true def normalscale
       
  1135 currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts
       
  1136 /psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x
       
  1137 psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx
       
  1138 psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub
       
  1139 TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def
       
  1140 @MacSetUp}N/doclip{psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll
       
  1141 newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto
       
  1142 closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N
       
  1143 /@beginspecial{SDict begin/SpecialSave save N gsave normalscale
       
  1144 currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N}
       
  1145 N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs
       
  1146 neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate
       
  1147 rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse
       
  1148 scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg
       
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  1160 %%EndProcSet
       
  1161 %%BeginProcSet: color.pro 0 0
       
  1162 %!
       
  1163 TeXDict begin/setcmykcolor where{pop}{/setcmykcolor{dup 10 eq{pop
       
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  1229 %%CreationDate: Sat Sep 14 10:17:13 2002
       
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  1244 end readonly def
       
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  1895 cleartomark
       
  1896 %%EndFont 
       
  1897 %%BeginFont: ComicSansMS
       
  1898 %!PS-AdobeFont-1.0: ComicSansMS Copyright [c] 1995 Microsoft Corporation. All rights reserved.
       
  1899 %%CreationDate: Sat Sep 14 10:16:33 2002
       
  1900 % Converted by ttf2pt1 3.4.2/ttf
       
  1901 % Args: -a -b comic.ttf
       
  1902 %%EndComments
       
  1903 12 dict begin
       
  1904 /FontInfo 9 dict dup begin
       
  1905 /version (Version 2.10) readonly def
       
  1906 /Notice (Copyright [c] 1995 Microsoft Corporation. All rights reserved.) readonly def
       
  1907 /FullName (Comic Sans MS) readonly def
       
  1908 /FamilyName (Comic Sans MS) readonly def
       
  1909 /Weight (Regular) readonly def
       
  1910 /ItalicAngle 0.000000 def
       
  1911 /isFixedPitch false def
       
  1912 /UnderlinePosition -133 def
       
  1913 /UnderlineThickness 85 def
       
  1914 end readonly def
       
  1915 /FontName /ComicSansMS def
       
  1916 /PaintType 0 def
       
  1917 /StrokeWidth 0 def
       
  1918 /FontType 1 def
       
  1919 /FontMatrix [0.001 0 0 0.001 0 0] def
       
  1920 /FontBBox {-93 -312 1187 1102} readonly def
       
  1921 /Encoding 256 array
       
  1922 0 1 255 {1 index exch /.notdef put} for
       
  1923 dup 0 /.notdef put
       
  1924 readonly def
       
  1925 currentdict end
       
  1926 currentfile eexec
       
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 21163 b Fu(\))54 b Fx(^)f Fr(\022)7 b Fx(h)p Fr(x)p Fx(i)26
       
 21164 b(2)g Fr(R)q(d)10126 2322 y Fd(\033)p Black 10255 2291
       
 21165 a Fv(\224)p Blue 4481 2532 a(shows)p Black 56 w(\224)p
       
 21166 OliveGreen Fr(t)p Fu([)p Fr(\022)7 b Fu(])66 b Fx(2)g
       
 21167 Fr(R)q(d)6060 2563 y Fd(\034)p Black 6178 2532 a Fv(\224)p
       
 21168 Blue 4481 2774 a(using)p Black 56 w(a)55 b(b)p Blue 56
       
 21169 w(proof)p Black 55 w(\(nominal)p 6534 2774 V 67 w(induct)h
       
 21170 Fr(t)f Fv(avoiding:)69 b Fu(\000)55 b Fr(\034)83 b(\022)101
       
 21171 b Fv(rule:)108 b(lam)p 9550 2774 V 67 w(induct\))p Blue
       
 21172 4481 3016 a(case)p Black 56 w(\(Lam)j Fr(a)f(t)p Fv(\))p
       
 21173 Blue 4658 3257 a(have)p Black 55 w(ih:)70 b(\224)p OliveGreen
       
 21174 -155 x Fc(V)5675 3257 y Fu(\000)40 b Fr(\034)67 b(\022)7
       
 21175 b(:)65 b Fu(\000)h Fx(`)g Fr(t)g Fu(:)g Fr(\034)94 b
       
 21176 Fu(=)-40 b Fx(\))p Black OliveGreen 4658 3499 a Fu(\()p
       
 21177 Fx(8)p Fr(x)40 b(\033)-6 b(:)66 b Fu(\()p Fr(x;)40 b(\033)8
       
 21178 b Fu(\))26 b Fx(2)g Fv(set)40 b Fu(\000)26 b Fx(\000)-40
       
 21179 b(!)26 b Fr(x)g Fx(2)g Fv(dom)q Fu(\()p Fr(\022)7 b Fu(\))44
       
 21180 b Fx(^)f Fr(\022)7 b Fx(h)p Fr(x)p Fx(i)26 b(2)g Fr(R)q(d)9220
       
 21181 3530 y Fd(\033)9349 3499 y Fu(\))67 b(=)-40 b Fx(\))65
       
 21182 b Fr(t)p Fu([)p Fr(\022)7 b Fu(])26 b Fx(2)g Fr(R)q(d)10814
       
 21183 3530 y Fd(\034)p Black 10933 3499 a Fv(\224)p Blue 4658
       
 21184 3741 a(and)p Black 55 w Fr(\022)p 5148 3741 V 74 w Fv(cond:)69
       
 21185 b(\224)p OliveGreen Fx(8)p Fr(x)40 b(\033)-6 b(:)66 b
       
 21186 Fu(\()p Fr(x;)40 b(\033)8 b Fu(\))26 b Fx(2)g Fv(set)40
       
 21187 b Fu(\000)26 b Fx(\000)-39 b(!)26 b Fr(x)g Fx(2)g Fv(dom)q
       
 21188 Fu(\()p Fr(\022)7 b Fu(\))53 b Fx(^)g Fr(\022)7 b Fx(h)p
       
 21189 Fr(x)p Fx(i)26 b(2)g Fr(R)q(d)10290 3772 y Fd(\033)p
       
 21190 Black 10419 3741 a Fv(\224)p Blue 4658 3982 a(and)p Black
       
 21191 55 w(fr:)70 b(\224)p OliveGreen Fr(a)c Fu(#)g(\000)p
       
 21192 Black Fv(\224)51 b(\224)p OliveGreen Fr(a)66 b Fu(#)g
       
 21193 Fr(\022)p Black 7 w Fv(\224)p Blue 4658 4224 a(and)p
       
 21194 Black 55 w(\224)p OliveGreen Fu(\000)g Fx(`)g Fv(Lam)40
       
 21195 b Fu([)p Fr(a)p Fu(])p Fr(:t)66 b Fu(:)g Fr(\034)p Black
       
 21196 28 w Fv(\224)p Blue 55 w(by)p Black 55 w(fact)p Blue
       
 21197 4658 4466 a(hence)p Black 52 w(\224)p OliveGreen Fx(9)p
       
 21198 Fr(\034)5526 4497 y Ft(1)5629 4466 y Fr(\034)5737 4497
       
 21199 y Ft(2)5841 4466 y Fr(:\034)54 b Fu(=)26 b Fr(\034)6388
       
 21200 4497 y Ft(1)6478 4466 y Fx(!)-13 b Fr(\034)6811 4497
       
 21201 y Ft(2)6954 4466 y Fx(^)40 b Fu(\()p Fr(a;)f(\034)7588
       
 21202 4497 y Ft(1)7692 4466 y Fu(\))26 b(::)g(\000)g Fx(`)g
       
 21203 Fr(t)g Fu(:)g Fr(\034)8620 4497 y Ft(2)p Black 8726 4466
       
 21204 a Fv(\224)p Blue 52 w(using)p Black 52 w(t3)p 9550 4466
       
 21205 V 67 w(elim)52 b(fr)p Blue 52 w(by)p Black 52 w(simp)p
       
 21206 Blue 4658 4707 a(then)j(obtain)p Black OliveGreen 55
       
 21207 w Fr(\034)5810 4738 y Ft(1)p Black OliveGreen 5969 4707
       
 21208 a Fr(\034)6077 4738 y Ft(2)p Black Blue 6236 4707 a Fv(where)p
       
 21209 Black 55 w Fr(\034)p 6965 4707 V 94 w Fv(inst:)70 b(\224)p
       
 21210 OliveGreen Fr(\034)53 b Fu(=)26 b Fr(\034)8025 4738 y
       
 21211 Ft(1)8116 4707 y Fx(!)-13 b Fr(\034)8449 4738 y Ft(2)p
       
 21212 Black 8552 4707 a Fv(\224)p Blue 6244 4949 a(and)p Black
       
 21213 56 w(ty:)68 b(\224)p OliveGreen Fu(\()p Fr(a;)40 b(\034)7419
       
 21214 4980 y Ft(1)7523 4949 y Fu(\)#\000)26 b Fx(`)g Fr(t)g
       
 21215 Fu(:)g Fr(\034)8465 4980 y Ft(2)p Black 8570 4949 a Fv(\224)p
       
 21216 Blue 55 w(by)p Black 56 w(blast)p Blue 4658 5191 a(from)p
       
 21217 Black 56 w(ih)p Blue 55 w(have)p Black 56 w(\224)p OliveGreen
       
 21218 Fx(8)p Fr(s)66 b Fx(2)g Fr(R)q(d)6715 5222 y Fd(\034)6803
       
 21219 5242 y Fb(1)6902 5191 y Fr(:t)p Fu([)p Fr(\022)7 b Fu(][)p
       
 21220 Fr(a)26 b Fu(::=)g Fr(s)p Fu(])65 b Fx(2)i Fr(R)q(d)8648
       
 21221 5222 y Fd(\034)8736 5242 y Fb(2)p Black 8835 5191 a Fv(\224)p
       
 21222 Blue 55 w(using)p Black 55 w(fr)56 b(ty)f Fr(\022)p 10066
       
 21223 5191 V 74 w Fv(cond)p Blue 4893 5432 a(by)p Black 55
       
 21224 w(\(force)h(dest:)68 b(fresh)p 6762 5432 V 68 w(context)54
       
 21225 b(simp)j(add:)69 b(psubts)p 9015 5432 V 67 w(subst\))p
       
 21226 Blue 4658 5674 a(hence)p Black 55 w(\224)p OliveGreen(Lam)40
       
 21227 b Fu([)p Fr(a)p Fu(])p Fr(:)p Fu(\()p Fr(t)p Fu([)p Fr(\022)7
       
 21228 b Fu(]\))66 b Fx(2)h Fr(R)q(d)7122 5705 y Fd(\034)7210
       
 21229 5726 y Fb(1)7298 5705 y Fa(!)p Fd(\034)7573 5726 y Fb(2)p
       
 21230 Black 7672 5674 a Fv(\224)p Blue 56 w(by)p Black 55 w(\(simp)56
       
 21231 b(only:)69 b(abs)p 9345 5674 V 67 w(Rd\))59 b(\226\224Lem.)d(6.3.2\224)
       
 21232 p Blue 4481 5916 a(thus)p Black 56 w(\224)p OliveGreen
       
 21233 Fu(\()p Fv(Lam)40 b Fu([)p Fr(a)p Fu(])p Fr(:t)p Fu(\)[)p
       
 21234 Fr(\022)7 b Fu(])65 b Fx(2)i Fr(R)q(d)6824 5947 y Fd(\034)p
       
 21235 Black 6942 5916 a Fv(\224)p Blue 55 w(using)p Black 56
       
 21236 w(fr)56 b Fr(\034)p 7946 5916 V 94 w Fv(inst)p Blue 56
       
 21237 w(by)p Black 55 w(simp)p Blue 4481 6157 a(qed)p Black
       
 21238 55 w(\(force)g(dest!:)69 b(t1)p 6186 6157 V 66 w(elim)55
       
 21239 b(t2)p 6857 6157 V 67 w(elim\)+)p 0 TeXcolorgray 10797
       
 21240 5925 a
       
 21241  0 setgray
       
 21242  10797 5925 a 0.5 TeXcolorgray 9053 6307 a FL(London,)25
       
 21243 b(6.)j(December)f(2005)f(\226)i(p.20)f(\(2/2\))p 0 TeXcolorgray
       
 21244 4360 6416 a
       
 21245  tx@Dict begin -90 Rot  end
       
 21246  4360 6416 a eop end
       
 21247 %%Trailer
       
 21248 
       
 21249 userdict /end-hook known{end-hook}if
       
 21250 %%EOF