Publications/merlin-05.ps
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     1 %!PS-Adobe-2.0
       
     2 %%Creator: dvips(k) 5.95a Copyright 2005 Radical Eye Software
       
     3 %%Title: a04-urban.dvi
       
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    61 %!
       
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    63 % Version 97 patch 4, 04/05/10
       
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    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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   106 %%-------------- DG end patch 15 ---------------%%
       
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   112 /LineFill { gsave abs CLW add /a ED a 0 dtransform round exch round exch
       
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   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
       
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   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
       
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   133 CLW moveto } def
       
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   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 } {
       
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   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: 8r.enc 0 0
       
   437 % File 8r.enc  TeX Base 1 Encoding  Revision 2.0  2002-10-30
       
   438 %
       
   439 % @@psencodingfile@{
       
   440 %   author    = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry,
       
   441 %                W. Schmidt, P. Lehman",
       
   442 %   version   = "2.0",
       
   443 %   date      = "30 October 2002",
       
   444 %   filename  = "8r.enc",
       
   445 %   email     = "tex-fonts@@tug.org",
       
   446 %   docstring = "This is the encoding vector for Type1 and TrueType
       
   447 %                fonts to be used with TeX.  This file is part of the
       
   448 %                PSNFSS bundle, version 9"
       
   449 % @}
       
   450 % 
       
   451 % The idea is to have all the characters normally included in Type 1 fonts
       
   452 % available for typesetting. This is effectively the characters in Adobe
       
   453 % Standard encoding, ISO Latin 1, Windows ANSI including the euro symbol,
       
   454 % MacRoman, and some extra characters from Lucida.
       
   455 % 
       
   456 % Character code assignments were made as follows:
       
   457 % 
       
   458 % (1) the Windows ANSI characters are almost all in their Windows ANSI
       
   459 % positions, because some Windows users cannot easily reencode the
       
   460 % fonts, and it makes no difference on other systems. The only Windows
       
   461 % ANSI characters not available are those that make no sense for
       
   462 % typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen
       
   463 % (173). quotesingle and grave are moved just because it's such an
       
   464 % irritation not having them in TeX positions.
       
   465 % 
       
   466 % (2) Remaining characters are assigned arbitrarily to the lower part
       
   467 % of the range, avoiding 0, 10 and 13 in case we meet dumb software.
       
   468 % 
       
   469 % (3) Y&Y Lucida Bright includes some extra text characters; in the
       
   470 % hopes that other PostScript fonts, perhaps created for public
       
   471 % consumption, will include them, they are included starting at 0x12.
       
   472 % These are /dotlessj /ff /ffi /ffl.
       
   473 % 
       
   474 % (4) hyphen appears twice for compatibility with both ASCII and Windows.
       
   475 %
       
   476 % (5) /Euro was assigned to 128, as in Windows ANSI
       
   477 %
       
   478 % (6) Missing characters from MacRoman encoding incorporated as follows:
       
   479 %
       
   480 %     PostScript      MacRoman        TeXBase1
       
   481 %     --------------  --------------  --------------
       
   482 %     /notequal       173             0x16
       
   483 %     /infinity       176             0x17
       
   484 %     /lessequal      178             0x18
       
   485 %     /greaterequal   179             0x19
       
   486 %     /partialdiff    182             0x1A
       
   487 %     /summation      183             0x1B
       
   488 %     /product        184             0x1C
       
   489 %     /pi             185             0x1D
       
   490 %     /integral       186             0x81
       
   491 %     /Omega          189             0x8D
       
   492 %     /radical        195             0x8E
       
   493 %     /approxequal    197             0x8F
       
   494 %     /Delta          198             0x9D
       
   495 %     /lozenge        215             0x9E
       
   496 %
       
   497 /TeXBase1Encoding [
       
   498 % 0x00
       
   499  /.notdef /dotaccent /fi /fl
       
   500  /fraction /hungarumlaut /Lslash /lslash
       
   501  /ogonek /ring /.notdef /breve
       
   502  /minus /.notdef /Zcaron /zcaron
       
   503 % 0x10
       
   504  /caron /dotlessi /dotlessj /ff
       
   505  /ffi /ffl /notequal /infinity
       
   506  /lessequal /greaterequal /partialdiff /summation
       
   507  /product /pi /grave /quotesingle
       
   508 % 0x20
       
   509  /space /exclam /quotedbl /numbersign
       
   510  /dollar /percent /ampersand /quoteright
       
   511  /parenleft /parenright /asterisk /plus
       
   512  /comma /hyphen /period /slash
       
   513 % 0x30
       
   514  /zero /one /two /three
       
   515  /four /five /six /seven
       
   516  /eight /nine /colon /semicolon
       
   517  /less /equal /greater /question
       
   518 % 0x40
       
   519  /at /A /B /C
       
   520  /D /E /F /G
       
   521  /H /I /J /K
       
   522  /L /M /N /O
       
   523 % 0x50
       
   524  /P /Q /R /S
       
   525  /T /U /V /W
       
   526  /X /Y /Z /bracketleft
       
   527  /backslash /bracketright /asciicircum /underscore
       
   528 % 0x60
       
   529  /quoteleft /a /b /c
       
   530  /d /e /f /g
       
   531  /h /i /j /k
       
   532  /l /m /n /o
       
   533 % 0x70
       
   534  /p /q /r /s
       
   535  /t /u /v /w
       
   536  /x /y /z /braceleft
       
   537  /bar /braceright /asciitilde /.notdef
       
   538 % 0x80
       
   539  /Euro /integral /quotesinglbase /florin
       
   540  /quotedblbase /ellipsis /dagger /daggerdbl
       
   541  /circumflex /perthousand /Scaron /guilsinglleft
       
   542  /OE /Omega /radical /approxequal
       
   543 % 0x90
       
   544  /.notdef /.notdef /.notdef /quotedblleft
       
   545  /quotedblright /bullet /endash /emdash
       
   546  /tilde /trademark /scaron /guilsinglright
       
   547  /oe /Delta /lozenge /Ydieresis
       
   548 % 0xA0
       
   549  /.notdef /exclamdown /cent /sterling
       
   550  /currency /yen /brokenbar /section
       
   551  /dieresis /copyright /ordfeminine /guillemotleft
       
   552  /logicalnot /hyphen /registered /macron
       
   553 % 0xD0
       
   554  /degree /plusminus /twosuperior /threesuperior
       
   555  /acute /mu /paragraph /periodcentered
       
   556  /cedilla /onesuperior /ordmasculine /guillemotright
       
   557  /onequarter /onehalf /threequarters /questiondown
       
   558 % 0xC0
       
   559  /Agrave /Aacute /Acircumflex /Atilde
       
   560  /Adieresis /Aring /AE /Ccedilla
       
   561  /Egrave /Eacute /Ecircumflex /Edieresis
       
   562  /Igrave /Iacute /Icircumflex /Idieresis
       
   563 % 0xD0
       
   564  /Eth /Ntilde /Ograve /Oacute
       
   565  /Ocircumflex /Otilde /Odieresis /multiply
       
   566  /Oslash /Ugrave /Uacute /Ucircumflex
       
   567  /Udieresis /Yacute /Thorn /germandbls
       
   568 % 0xE0
       
   569  /agrave /aacute /acircumflex /atilde
       
   570  /adieresis /aring /ae /ccedilla
       
   571  /egrave /eacute /ecircumflex /edieresis
       
   572  /igrave /iacute /icircumflex /idieresis
       
   573 % 0xF0
       
   574  /eth /ntilde /ograve /oacute
       
   575  /ocircumflex /otilde /odieresis /divide
       
   576  /oslash /ugrave /uacute /ucircumflex
       
   577  /udieresis /yacute /thorn /ydieresis
       
   578 ] def
       
   579 
       
   580 
       
   581 %%EndProcSet
       
   582 %%BeginProcSet: texps.pro 0 0
       
   583 %!
       
   584 TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2
       
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   586 exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0
       
   587 ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{
       
   588 pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get
       
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   598 %%EndProcSet
       
   599 %%BeginProcSet: special.pro 0 0
       
   600 %!
       
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   603 /rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N
       
   604 /@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{
       
   605 /hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho
       
   606 X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B
       
   607 /@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{
       
   608 /urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known
       
   609 {userdict/md get type/dicttype eq{userdict begin md length 10 add md
       
   610 maxlength ge{/md md dup length 20 add dict copy def}if end md begin
       
   611 /letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S
       
   612 atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{
       
   613 itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll
       
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  1894 Fp(lam)7 b Fo(\()p Fz(a;)14 b(M)9 b Fo(\))25 b FC(to)h(denote)e
       
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  1903 (with)i(name-carrying)c Fz(\013)p FC(-equi-)-150 4832
       
  1904 y(v)n(alence)25 b(classes)h(is)h(that)e(con)m(v)o(enient)e(structural)h
       
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  1917 Fp(var)10 b Fo(\()p Fz(z)t Fo(\)\))23 b Fz(x)2105 341
       
  1918 y Fv(8)p Fz(x)14 b(M)21 b(N)t(:)2188 440 y Fo(\()p Fv(8)p
       
  1919 Fz(y)s(:)h(P)35 b(M)c(y)s Fo(\))42 b Fv(^)g Fo(\()p Fv(8)p
       
  1920 Fz(y)s(:)22 b(P)35 b(N)d(y)s Fo(\))46 b Fv(\))23 b Fz(P)35
       
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  1922 b Fz(x)2105 564 y Fv(8)p Fz(x)14 b(z)i(M)t(:)2188 663
       
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  1931 Fz(x)2042 1185 y FC(for)18 b(the)h Fx(conte)n(xt)f FC(of)h(the)g
       
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  1937 (hypothesis)h Fz(P)2042 1583 y FC(is)2170 1756 y Fz(M)9
       
  1938 b Fo([)p Fz(x)23 b Fo(:=)g Fz(N)9 b Fo(][)p Fz(y)25 b
       
  1939 Fo(:=)e Fz(L)p Fo(])g Fv(\021)f Fz(M)9 b Fo([)p Fz(y)26
       
  1940 b Fo(:=)c Fz(L)p Fo(][)p Fz(x)i Fo(:=)e Fz(N)9 b Fo([)p
       
  1941 Fz(y)26 b Fo(:=)d Fz(L)p Fo(]])2042 1929 y FC(with)d
       
  1942 Fz(M)29 b FC(being)19 b(the)g(v)n(ariable)g(o)o(v)o(er)f(which)i(the)f
       
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  1944 (conte)o(xt)f Fz(x)j FC(w)o(ould)e(need)f(to)i(be)g(instantiated)2042
       
  1945 2128 y(with)e(the)f(tuple)g Fo(\()p Fz(x;)14 b(y)s(;)g(N)t(;)g(L)p
       
  1946 Fo(\))p FC(.)23 b(Then,)f(when)g(one)g(comes)g(to)h(pro)o(v)o(e)2042
       
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  1949 Fo(\()p Fp(lam)7 b Fo(\()p Fz(z)t(;)14 b(M)9 b Fo(\)\))23
       
  1950 b(\()p Fz(x;)14 b(y)s(;)g(M)t(;)g(N)9 b Fo(\))2042 2573
       
  1951 y FC(is)29 b(fresh)e(w)-5 b(.r)g(.t.)27 b Fo(\()p Fz(x;)14
       
  1952 b(y)s(;)g(N)t(;)g(L)p Fo(\))p FC(\227meaning)27 b(roughly)e(that)j
       
  1953 Fz(z)k FC(cannot)2042 2672 y(be)f(equal)h(to)g Fz(x)g
       
  1954 FC(and)g Fz(y)s FC(,)f(and)h(that)f Fz(z)36 b FC(cannot)31
       
  1955 b(be)g(a)i(free)e(v)n(ariable)2042 2772 y(in)24 b Fz(N)34
       
  1956 b FC(and)24 b Fz(L)p FC(.)g(In)g(ef)n(fect,)g(one)g(can)g(formalise)g
       
  1957 (Barendre)o(gt')-5 b(s)22 b(slick)2042 2871 y(informal)c(proof)h
       
  1958 (without)h(dif)n(\002culties.)2141 2971 y(In)31 b(this)h(paper)e(we)h
       
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  1960 3071 y(can)20 b(be)g(gi)n(v)o(en)f(for)h(rule)f(inductions,)g(pro)o
       
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  1963 g(are)2042 3270 y(performed.)23 b(W)-7 b(e)27 b(illustrate)f(our)g
       
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  1979 3668 y(is)21 b(the)f(usual)g(proof)f(of)h(the)g(weak)o(ening)e(lemma)i
       
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  2598 %%Page: 5 5
       
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  2821 0 TeXcolorgray 0 TeXcolorgray eop end
       
  2822 %%Page: 6 6
       
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  2880 b Fo(\()p Fz(c)27 b(\031)828 2136 y Fj(\001)866 2127
       
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  2894 1782 2671 4 57 v 1786 2619 50 4 v 1786 2671 V 1835 2671
       
  2895 4 57 v -50 2831 a(W)m(ith)g(this)h(induction)d(principle)h(at)i(our)f
       
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  2905 3349 y Fu(2)1203 3337 y Fv(`)g Fz(M)31 b Fo(:)23 b Fz(\034)-150
       
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  2907 3620 y Fz(P)107 b Fo(=)83 b Fz(\025)p Fo(\000)312 3632
       
  2908 y Fu(1)363 3620 y Fz(M)23 b(\034)g Fo(\000)578 3632 y
       
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  2915 Fz(M)91 b Fo(=)83 b Fz(M)-87 3919 y(\034)115 b Fo(=)83
       
  2916 b Fz(\034)-87 4018 y(x)104 b Fo(=)83 b(\000)264 4030
       
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  3707 %%Trailer
       
  3708 
       
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  3710 %%EOF