From 8f7153eb3867048ab90d35cbc075071bced993f0 Mon Sep 17 00:00:00 2001 From: Patrick Simianer Date: Sat, 22 May 2010 01:13:22 +0200 Subject: almost done --- resources/RENFADFA.doc | Bin 131072 -> 0 bytes resources/RegExSource.zip | Bin 8691 -> 0 bytes resources/fsmnlp.ps | 6674 ------------------------------------ resources/graphregexpr.jar | Bin 54806 -> 0 bytes resources/literature/RENFADFA.doc | Bin 0 -> 131072 bytes resources/literature/fsmnlp.ps | 6674 ++++++++++++++++++++++++++++++++++++ resources/regexprdemo.jar | Bin 36642 -> 0 bytes resources/sources/RegExSource.zip | Bin 0 -> 8691 bytes resources/sources/graphregexpr.jar | Bin 0 -> 54806 bytes resources/sources/regexprdemo.jar | Bin 0 -> 36642 bytes 10 files changed, 6674 insertions(+), 6674 deletions(-) delete mode 100644 resources/RENFADFA.doc delete mode 100644 resources/RegExSource.zip delete mode 100644 resources/fsmnlp.ps delete mode 100644 resources/graphregexpr.jar create mode 100644 resources/literature/RENFADFA.doc create mode 100644 resources/literature/fsmnlp.ps delete mode 100644 resources/regexprdemo.jar create mode 100644 resources/sources/RegExSource.zip create mode 100644 resources/sources/graphregexpr.jar create mode 100644 resources/sources/regexprdemo.jar (limited to 'resources') diff --git a/resources/RENFADFA.doc b/resources/RENFADFA.doc deleted file mode 100644 index fb76173..0000000 Binary files a/resources/RENFADFA.doc and /dev/null differ diff --git a/resources/RegExSource.zip b/resources/RegExSource.zip deleted file mode 100644 index 6171e3d..0000000 Binary files a/resources/RegExSource.zip and /dev/null differ diff --git a/resources/fsmnlp.ps b/resources/fsmnlp.ps deleted file mode 100644 index 34379af..0000000 --- a/resources/fsmnlp.ps +++ /dev/null @@ -1,6674 +0,0 @@ -%!PS-Adobe-2.0 -%%Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software -%%Pages: 16 -%%PageOrder: Ascend -%%BoundingBox: 0 0 596 842 -%%DocumentFonts: Palatino-Bold Palatino-Roman CMSY6 Palatino-Italic -%%+ 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/SquarePath { - -450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto - closepath - } def - /SolidSquare { SquarePath fill } def - /Square { SquarePath .89 .89 scale SquarePath eofill } def - /BoldSquare { SquarePath .78 .78 scale SquarePath eofill } def - /PentagonPath { - -337.8 -465 moveto - 337.8 -465 lineto - 546.6 177.6 lineto - 0 574.7 lineto - -546.6 177.6 lineto - closepath - } def - /SolidPentagon { PentagonPath fill } def - /Pentagon { PentagonPath .89 .89 scale PentagonPath eofill } def - /BoldPentagon { PentagonPath .78 .78 scale PentagonPath eofill } def - /.notdef { } def - end - /BuildGlyph { - exch - begin - Metrics 1 index get exec 0 - BBoxes 3 index get exec - setcachedevice - CharProcs begin load exec end - end - } def - /BuildChar { - 1 index /Encoding get exch get - 1 index /BuildGlyph get exec - } bind def -end -/PSTricksDotFont exch definefont pop -% END pst-dots.pro - -%%EndProcSet -%%BeginProcSet: pst-node.pro -% PostScript prologue for pst-node.tex. -% Version 97 patch 1, 97/05/09. -% For distribution, see pstricks.tex. -% -/tx@NodeDict 400 dict def tx@NodeDict begin -tx@Dict begin /T /translate load def end -/NewNode { gsave /next ED dict dup 3 1 roll def exch { dup 3 1 roll def } -if begin tx@Dict begin STV CP T exec end /NodeMtrx CM def next end -grestore } def -/InitPnode { /Y ED /X ED /NodePos { NodeSep Cos mul NodeSep Sin mul } def -} def -/InitCnode { /r ED /Y ED /X ED /NodePos { NodeSep r add dup Cos mul exch -Sin mul } def } def -/GetRnodePos { Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def -} ifelse Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def } -ifelse dx Sin mul abs dy Cos mul abs gt { dy Cos mul Sin div dy } { dx -dup Sin mul Cos Div } ifelse } def -/InitRnode { /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub -/u ED /NodePos { GetRnodePos } def } def -/DiaNodePos { w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup -Cos mul exch Sin mul } def -/TriNodePos { Sin s lt { d NodeSep sub dup Cos mul Sin Div exch } { w h -mul w Sin mul h Cos abs mul add Div NodeSep add dup Cos mul exch Sin mul -} ifelse } def -/InitTriNode { sub 2 div exch 2 div exch 2 copy T 2 copy 4 index index /d -ED pop pop pop pop -90 mul rotate /NodeMtrx CM def /X 0 def /Y 0 def d -sub abs neg /d ED d add /h ED 2 div h mul h d sub Div /w ED /s d w Atan -sin def /NodePos { TriNodePos } def } def -/OvalNodePos { /ww w NodeSep add def /hh h NodeSep add def Sin ww mul Cos -hh mul Atan dup cos ww mul exch sin hh mul } def -/GetCenter { begin X Y NodeMtrx transform CM itransform end } def -/XYPos { dup sin exch cos Do /Cos ED /Sin ED /Dist ED Cos 0 gt { Dist -Dist Sin mul Cos div } { Cos 0 lt { Dist neg Dist Sin mul Cos div neg } -{ 0 Dist Sin mul } ifelse } ifelse Do } def -/GetEdge { dup 0 eq { pop begin 1 0 NodeMtrx dtransform CM idtransform -exch atan sub dup sin /Sin ED cos /Cos ED /NodeSep ED NodePos NodeMtrx -dtransform CM idtransform end } { 1 eq {{exch}} {{}} ifelse /Do ED pop -XYPos } ifelse } def -/AddOffset { 1 index 0 eq { pop pop } { 2 copy 5 2 roll cos mul add 4 1 -roll sin mul sub exch } ifelse } def -/GetEdgeA { NodeSepA AngleA NodeA NodeSepTypeA GetEdge OffsetA AngleA -AddOffset yA add /yA1 ED xA add /xA1 ED } def -/GetEdgeB { NodeSepB AngleB NodeB NodeSepTypeB GetEdge OffsetB AngleB -AddOffset yB add /yB1 ED xB add /xB1 ED } def -/GetArmA { ArmTypeA 0 eq { /xA2 ArmA AngleA cos mul xA1 add def /yA2 ArmA -AngleA sin mul yA1 add def } { ArmTypeA 1 eq {{exch}} {{}} ifelse /Do ED -ArmA AngleA XYPos OffsetA AngleA AddOffset yA add /yA2 ED xA add /xA2 ED -} ifelse } def -/GetArmB { ArmTypeB 0 eq { /xB2 ArmB AngleB cos mul xB1 add def /yB2 ArmB -AngleB sin mul yB1 add def } { ArmTypeB 1 eq {{exch}} {{}} ifelse /Do ED -ArmB AngleB XYPos OffsetB AngleB AddOffset yB add /yB2 ED xB add /xB2 ED -} ifelse } def -/InitNC { /b ED /a ED /NodeSepTypeB ED /NodeSepTypeA ED /NodeSepB ED -/NodeSepA ED /OffsetB ED /OffsetA ED tx@NodeDict a known tx@NodeDict b -known and dup { /NodeA a load def /NodeB b load def NodeA GetCenter /yA -ED /xA ED NodeB GetCenter /yB ED /xB ED } if } def -/LPutLine { 4 copy 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED 1 t sub -mul 3 1 roll 1 t sub mul 4 1 roll t mul add /Y ED t mul add /X ED } def -/LPutLines { mark LPutVar counttomark 2 div 1 sub /n ED t floor dup n gt -{ pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse cvi 2 mul { pop -} repeat LPutLine cleartomark } def -/BezierMidpoint { /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED -/t ED /cx x1 x0 sub 3 mul def /cy y1 y0 sub 3 mul def /bx x2 x1 sub 3 -mul cx sub def /by y2 y1 sub 3 mul cy sub def /ax x3 x0 sub cx sub bx -sub def /ay y3 y0 sub cy sub by sub def ax t 3 exp mul bx t t mul mul -add cx t mul add x0 add ay t 3 exp mul by t t mul mul add cy t mul add -y0 add 3 ay t t mul mul mul 2 by t mul mul add cy add 3 ax t t mul mul -mul 2 bx t mul mul add cx add atan /NAngle ED /Y ED /X ED } def -/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def -} def -/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def -/NAngle yyB yyA sub xxB xxA sub Atan def } def -/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def -/HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def -} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit -} { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd -} def -/VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def -} def -/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def -/NAngle yyB yyA sub xxB xxA sub Atan def } def -/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def -/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def -} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check { -exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark -VPosEnd } def -/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2 -roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx -def grestore exec /LPutVar /SaveLPutVar load def } def -/NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def -GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos { -LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos { -LPutVar VPutLine } def LPutVar } def -/NCLine { NCCoor tx@Dict begin ArrowA CP 4 2 roll ArrowB lineto pop pop -end } def -/NCLines { false NArray n 0 eq { NCLine } { 2 copy yA sub exch xA sub -Atan /AngleA ED n 2 mul dup index exch index yB sub exch xB sub Atan -/AngleB ED GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1 -yA1 ] cvx def mark LPutVar tx@Dict begin false Line end /LPutPos { -LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def } -ifelse } def -/NCCurve { GetEdgeA GetEdgeB xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1 -roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA -GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict -begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ] -cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines -} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def -/NCAngles { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate -def xA2 yA2 mtrx transform pop xB2 yB2 mtrx transform exch pop mtrx -itransform /y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA2 -yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end /LPutVar [ xB1 -yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { LPutLines } def -/HPutPos { HPutLines } def /VPutPos { VPutLines } def } def -/NCAngle { GetEdgeA GetEdgeB GetArmB /mtrx AngleA matrix rotate def xB2 -yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform -/y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA1 yA1 -tx@Dict begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] -cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos { -VPutLines } def } def -/NCBar { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate def -xA2 yA2 mtrx itransform pop xB2 yB2 mtrx itransform pop sub dup 0 mtrx -transform 3 -1 roll 0 gt { /yB2 exch yB2 add def /xB2 exch xB2 add def } -{ /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse mark ArmB -0 ne { xB1 yB1 } if xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict -begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx -def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos { -VPutLines } def } def -/NCDiag { GetEdgeA GetEdgeB GetArmA GetArmB mark ArmB 0 ne { xB1 yB1 } if -xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end -/LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { -LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def } -def -/NCDiagg { GetEdgeA GetArmA yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED -GetEdgeB mark xB1 yB1 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin -false Line end /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { -LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def } -def -/NCLoop { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate -def xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED /xB3 xB2 yB2 -mtrx transform pop def xB3 yA3 mtrx itransform /yB3 ED /xB3 ED xA3 yA3 -mtrx itransform /yA3 ED /xA3 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 -xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false -Line end /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ] -cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos { -VPutLines } def } def -% DG/SR modification begin - May 9, 1997 - Patch 1 -%/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r -%r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add -%exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360 -%mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED -/NCCircle { NodeSepA 0 NodeA 0 GetEdge pop 2 div dup 2 exp r -r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add -exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360 -mul add dup 5 1 roll 90 sub PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED -% DG/SR modification end -} def /HPutPos { LPutPos } def /VPutPos { LPutPos } def r AngleA 90 sub a add -AngleA 270 add a sub tx@Dict begin /angleB ED /angleA ED /r ED /c 57.2957 r -Div def /y ED /x ED } def -/NCBox { /d ED /h ED /AngleB yB yA sub xB xA sub Atan def /AngleA AngleB -180 add def GetEdgeA GetEdgeB /dx d AngleB sin mul def /dy d AngleB cos -mul neg def /hx h AngleB sin mul neg def /hy h AngleB cos mul def -/LPutVar [ xA1 hx add yA1 hy add xB1 hx add yB1 hy add xB1 dx add yB1 dy -add xA1 dx add yA1 dy add ] cvx def /LPutPos { LPutLines } def /HPutPos -{ xB yB xA yA LPutLine } def /VPutPos { HPutPos } def mark LPutVar -tx@Dict begin false Polygon end } def -/NCArcBox { /l ED neg /d ED /h ED /a ED /AngleA yB yA sub xB xA sub Atan -def /AngleB AngleA 180 add def /tA AngleA a sub 90 add def /tB tA a 2 -mul add def /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def -/x0 xA r tA cos mul add def /y0 yA r tA sin mul add def /c 57.2958 r div -def /AngleA AngleA a sub 180 add def /AngleB AngleB a add 180 add def -GetEdgeA GetEdgeB /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul -sub def /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def l 0 -eq { x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn } -{ x0 y0 translate /tA AngleA l c mul add def /tB AngleB l c mul sub def -0 0 r h add tA tB arc r h add AngleB PtoC r d add AngleB PtoC 2 copy 6 2 -roll l arcto 4 { pop } repeat r d add tB PtoC l arcto 4 { pop } repeat 0 -0 r d add tB tA arcn r d add AngleA PtoC r h add AngleA PtoC 2 copy 6 2 -roll l arcto 4 { pop } repeat r h add tA PtoC l arcto 4 { pop } repeat } -ifelse closepath /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def /LPutPos -{ LPutVar /d ED /h ED /AngleB ED /AngleA ED /r ED /y0 ED /x0 ED t 1 le { -r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC } -{ t 2 lt { /NAngle AngleB 180 add def r 2 t sub h mul t 1 sub d mul add -add AngleB PtoC } { t 3 lt { r d add AngleB 3 t sub mul AngleA 2 t sub -mul add dup 90 sub /NAngle ED PtoC } { /NAngle AngleA 180 add def r 4 t -sub d mul t 3 sub h mul add add AngleA PtoC } ifelse } ifelse } ifelse -y0 add /Y ED x0 add /X ED } def /HPutPos { LPutPos } def /VPutPos { -LPutPos } def } def -/Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yB -sub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1 -ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xB -w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos -{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop } -{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine } -def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin -/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def -/LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg -exch X sub neg exch moveto setmatrix CP grestore } def -/LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0 -def } ifelse LPutCoor } def -/HPutAdjust { Sin Cos mul 0 eq { 0 } { d Cos mul Sin div flag not { neg } -if h Cos mul Sin div flag { neg } if 2 copy gt { pop } { exch pop } -ifelse } ifelse s add flag { r add neg } { l add } ifelse X add /X ED } -def -/VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if -r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop } -ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED } -def -end -% END pst-node.pro - -%%EndProcSet -%%BeginProcSet: 8r.enc -% @@psencodingfile@{ -% author = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry", -% version = "0.6", -% date = "1 July 1998", -% filename = "8r.enc", -% email = "tex-fonts@@tug.org", -% docstring = "Encoding for TrueType or Type 1 fonts -% to be used with TeX." -% @} -% -% Idea is to have all the characters normally included in Type 1 fonts -% available for typesetting. This is effectively the characters in Adobe -% Standard Encoding + ISO Latin 1 + extra characters from Lucida. -% -% Character code assignments were made as follows: -% -% (1) the Windows ANSI characters are almost all in their Windows ANSI -% positions, because some Windows users cannot easily reencode the -% fonts, and it makes no difference on other systems. The only Windows -% ANSI characters not available are those that make no sense for -% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen -% (173). quotesingle and grave are moved just because it's such an -% irritation not having them in TeX positions. -% -% (2) Remaining characters are assigned arbitrarily to the lower part -% of the range, avoiding 0, 10 and 13 in case we meet dumb software. -% -% (3) Y&Y Lucida Bright includes some extra text characters; in the -% hopes that other PostScript fonts, perhaps created for public -% consumption, will include them, they are included starting at 0x12. -% -% (4) Remaining positions left undefined are for use in (hopefully) -% upward-compatible revisions, if someday more characters are generally -% available. -% -% (5) hyphen appears twice for compatibility with both -% ASCII and Windows. -% -/TeXBase1Encoding [ -% 0x00 (encoded characters from Adobe Standard not in Windows 3.1) - /.notdef /dotaccent /fi /fl - /fraction /hungarumlaut /Lslash /lslash - 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All Rights Reserved. - -11 dict begin -/FontInfo 7 dict dup begin -/version (1.100) readonly def -/Notice (Copyright (C) 1997 American Mathematical Society. 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b(ariants)19 -b(for)i Ft(\017)p Fs(-Moves)330 1054 y Fv(The)31 b(algorithm)i(pr)o -(esented)d(in)i(the)f(pr)o(evious)h(section)g(does)f(not)h(tr)o(eat)e -Ft(\017)p Fv(-moves.)i(In)f(this)330 1154 y(section,)21 -b(possible)h(extensions)f(of)g(the)g(algorithm)h(ar)o(e)d(identi\002ed) -i(to)g(tr)o(eat)e Ft(\017)p Fv(-moves.)330 1353 y Fs(3.1)h(Per)g(graph) -330 1453 y Fv(In)h(the)f Fu(per)g(graph)f Fv(variant)h(two)h(steps)f -(can)g(be)g(identi\002ed.)g(In)g(the)h(\002rst)f(step,)g -Fu(efr)o(ee)p Fv(,)h(an)f(equiv-)330 1553 y(alent)26 -b Ft(\017)p Fv(-fr)o(ee)f(automaton)h(is)h(constr)o(ucted.)g(In)g(the)f -(second)h(step)f(this)h Ft(\017)p Fv(-fr)o(ee)e(automaton)i(is)330 -1652 y(determinised)g(using)h(the)g(subset)f(constr)o(uction)i -(algorithm.)f(The)f(advantage)f(of)h(this)h(ap-)330 1752 -y(pr)o(oach)i(is)h(that)g(the)g(subset)g(constr)o(uction)i(algorithm)f -(can)e(r)o(emain)g(simple)i(because)e(the)330 1851 y(input)21 -b(automaton)h(is)f Ft(\017)p Fv(-fr)o(ee.)479 1951 y(An)43 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Fj(\006)p -Ft(;)g(\016)602 2618 y Fl(0)625 2648 y Ft(;)g(S)718 2618 -y Fl(0)741 2648 y Ft(;)g(F)843 2618 y Fl(0)866 2648 y -Fj(\))p Fv(,)46 b(wher)o(e)g Ft(S)1296 2618 y Fl(0)1389 -2648 y Fj(=)69 b Ft(\017)p Fv(-CLOSURE)o Fj(\()p Ft(S)5 -b Fj(\))p Fv(,)46 b Ft(F)2226 2618 y Fl(0)2319 2648 y -Fj(=)69 b Ft(\017)p Fv(-CLOSURE)2904 2610 y Fl(\000)p -Fr(1)2993 2648 y Fj(\()p Ft(F)12 b Fj(\))p Fv(,)46 b(and)330 -2748 y Ft(\016)370 2718 y Fl(0)393 2748 y Fj(\()p Ft(p;)14 -b(a)p Fj(\))42 b(=)f Fk(f)p Ft(q)s Fk(j)p Ft(q)873 2718 -y Fl(0)938 2748 y Fk(2)h Ft(\016)s Fj(\()p Ft(p)1149 -2718 y Fl(0)1172 2748 y Ft(;)14 b(a)p Fj(\))p Ft(;)g(p)1364 -2718 y Fl(0)1429 2748 y Fk(2)42 b Ft(\017)p Fv(-CLOSURE)1977 -2710 y Fl(\000)p Fr(1)2066 2748 y Fj(\()p Ft(p)p Fj(\))p -Ft(;)14 b(q)45 b Fk(2)d Ft(\017)p Fv(-CLOSURE)n Fj(\()p -Ft(q)2910 2718 y Fl(0)2934 2748 y Fj(\))p Fk(g)p Fv(.)30 -b(Instead)330 2848 y(of)20 b(using)h Ft(\017)p Fv(-CLOSURE)e(on)i(both) -g(the)f(sour)o(ce)g(and)g(tar)o(get)f(side)h(of)g(a)g(transition,)g -Fu(efr)o(ee)h Fv(can)f(be)330 2947 y(optimised)h(in)h(two)f(dif)o(fer)o -(ent)e(ways)i(by)f(using)i Ft(\017)p Fv(-CLOSURE)d(only)j(on)f(one)h -(side:)p Black 571 3130 a Fk(\017)p Black 16 w Fu(efr)o(ee)779 -3100 y Fi(t)809 3130 y Fu(:)e Ft(M)940 3100 y Fl(0)986 -3130 y Fj(=)j(\()p Ft(Q;)14 b Fj(\006)p Ft(;)g(\016)1346 -3100 y Fl(0)1369 3130 y Ft(;)g(S)1462 3100 y Fl(0)1485 -3130 y Ft(;)g(F)e Fj(\))p Fv(,)20 b(wher)o(e)h Ft(S)1966 -3100 y Fl(0)2012 3130 y Fj(=)h Ft(\017)p Fv(-CLOSURE)o -Fj(\()p Ft(S)5 b Fj(\))p Fv(,)21 b(and)629 3230 y Ft(\016)669 -3199 y Fl(0)692 3230 y Fj(\()p Ft(p;)14 b(a)p Fj(\))23 -b(=)g Fk(f)p Ft(q)s Fk(j)p Ft(q)1135 3199 y Fl(0)1181 -3230 y Fk(2)g Ft(\016)s Fj(\()p Ft(p;)14 b(a)p Fj(\))p -Ft(;)g(q)27 b Fk(2)c Ft(\017)p Fv(-CLOSURE)o Fj(\()p -Ft(q)2188 3199 y Fl(0)2211 3230 y Fj(\))p Fk(g)p Fv(.)p -Black 571 3396 a Fk(\017)p Black 16 w Fu(efr)o(ee)779 -3365 y Fi(s)815 3396 y Fu(:)e Ft(M)947 3365 y Fl(0)993 -3396 y Fj(=)h(\()p Ft(Q;)14 b Fj(\006)p Ft(;)g(\016)1352 -3365 y Fl(0)1375 3396 y Ft(;)g(S;)g(F)1565 3365 y Fl(0)1588 -3396 y Fj(\))p Fv(,)21 b(wher)o(e)f Ft(F)1976 3365 y -Fl(0)2023 3396 y Fj(=)i Ft(\017)p Fv(-CLOSURE)2561 3357 -y Fl(\000)p Fr(1)2650 3396 y Fj(\()p Ft(F)12 b Fj(\))p -Fv(,)21 b(and)629 3495 y Ft(\016)669 3465 y Fl(0)692 -3495 y Fj(\()p Ft(p;)14 b(a)p Fj(\))23 b(=)g Fk(f)p Ft(q)s -Fk(j)p Ft(q)j Fk(2)d Ft(\016)s Fj(\()p Ft(p)1350 3465 -y Fl(0)1374 3495 y Ft(;)14 b(a)p Fj(\))p Ft(;)g(p)1566 -3465 y Fl(0)1612 3495 y Fk(2)23 b Ft(\017)p Fv(-CLOSURE)2141 -3457 y Fl(\000)p Fr(1)2230 3495 y Fj(\()p Ft(p)p Fj(\))p -Fk(g)p Fv(.)479 3678 y(Although)d(both)e(variants)g(appear)f(very)g -(similar)-6 b(,)18 b(ther)o(e)g(ar)o(e)e(some)j(dif)o(fer)o(ences.)d -(Firstly)-9 b(,)330 3778 y Fu(efr)o(ee)480 3747 y Fi(t)533 -3778 y Fv(might)24 b(intr)o(oduce)e(states)h(which)g(ar)o(e)f(not)h -Fu(co-accessible)p Fv(:)g(states)g(fr)o(om)f(which)i(no)f(path)330 -3877 y(exists)g(to)g(a)f(\002nal)h(state;)f(in)h(contrast,)g -Fu(efr)o(ee)1700 3847 y Fi(s)1759 3877 y Fv(might)g(intr)o(oduce)g -(states)f(which)i(ar)o(e)d(not)i Fu(acces-)330 3977 y(sible)p -Fv(:)e(states)g(fr)o(om)e(which)j(no)f(path)f(exists)h(fr)o(om)f(the)g -(start)g(state.)g(A)g(straightforwar)o(d)f(mod-)330 4076 -y(i\002cation)27 b(of)g(both)g(algorithms)g(is)g(possible)g(to)g(ensur) -o(e)f(that)g(these)h(states)f(ar)o(e)f(not)j(pr)o(esent)330 -4176 y(in)i(the)g(output.)f(Thus)h Fu(efr)o(ee)1240 4146 -y Fi(t;c)1349 4176 y Fv(ensur)o(es)f(that)h(all)f(states)g(in)h(the)g -(r)o(esulting)f(automaton)h(ar)o(e)330 4276 y(co-accessible;)24 -b Fu(efr)o(ee)995 4246 y Fi(s;a)1111 4276 y Fv(ensur)o(es)g(that)h(all) -g(states)f(in)h(the)g(r)o(esulting)g(automaton)g(ar)o(e)e -Fu(accessi-)330 4375 y(ble)p Fv(.)k(As)f(a)f(consequence,)i(the)f(size) -g(of)g(the)g(determinised)g(machine)g(is)h(in)g(general)e(smaller)330 -4475 y(if)j Fu(efr)o(ee)560 4445 y Fi(t;c)667 4475 y -Fv(is)g(employed,)g(because)f(states)h(which)h(wer)o(e)e(not)i -(co-accessible)e(\(in)h(the)g(input\))330 4575 y(ar)o(e)c(r)o(emoved)h -(\(this)h(is)g(ther)o(efor)o(e)e(an)h(additional)g(bene\002t)h(of)f -Fu(efr)o(ee)2493 4544 y Fi(t;c)2573 4575 y Fv(;)g(the)h(fact)e(that)i -Fu(efr)o(ee)3238 4544 y Fi(s;a)330 4674 y Fv(r)o(emoves)31 -b(accessible)f(states)h(has)g(no)g(ef)o(fect)f(on)h(the)g(size)g(of)g -(the)g(determinised)g(machine)330 4774 y(because)20 b(the)h(subset)g -(constr)o(uction)h(algorithm)g(alr)o(eady)d(ensur)o(es)h(accessibility) -h(anyway\).)479 4873 y(Secondly)-9 b(,)37 b(it)g(turns)g(out)g(that)g -(applying)g Fu(efr)o(ee)2038 4843 y Fi(t)2105 4873 y -Fv(in)g(combination)i(with)e(the)g(subset-)330 4973 y(constr)o(uction) -32 b(algorithm)g(generally)e(pr)o(oduces)f(smaller)i(automata)f(than)h -Fu(efr)o(ee)2979 4943 y Fi(s)3045 4973 y Fv(\(even)f(if)330 -5073 y(we)21 b(ignor)o(e)g(the)g(bene\002t)g(of)g(ensuring)g -(co-accessibility\).)g(An)f(example)h(is)g(pr)o(esented)f(in)h(\002g-) -330 5172 y(ur)o(e)f(2.)g(The)h(dif)o(fer)o(ences)d(can)j(be)f(quite)h -(signi\002cant.)h(This)f(is)g(illustrated)g(in)g(\002gur)o(e)f(3.)479 -5272 y(Below)g(we)f(will)h(write)f Fu(per)h(graph)1550 -5242 y Fi(X)1631 5272 y Fv(to)f(indicate)g(the)h(non-integrated)f -(algorithm)h(based)330 5372 y(on)h Fu(efr)o(ee)594 5341 -y Fi(X)658 5372 y Fv(.)p Black 3288 5944 a(5)p Black -eop -%%Page: 6 6 -6 5 bop Black 330 91 a Fo(van)20 b(Noor)o(d)1145 b(Epsilon)17 -b(Moves)h(in)h(Subset)g(Constr)o(uction)p Black Black -Black Black 1101 592 a - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.15997 add 2 div -2 copy 0.15997 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@0 11 {InitCnode -} NewNode end end - 1101 592 a @beginspecial @setspecial - tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.15997 -add 2 div 2 copy 0.15997 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore -end - - -@endspecial Fv(0)1121 565 y - tx@Dict begin tx@NodeDict begin {-28.44543 0.0 } false /N@start0 10 -{InitPnode } NewNode end end - 1121 565 a 1121 565 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@start0 /N@0 InitNC { yB yA sub xB xA sub Atan dup 0. add /AngleA -ED 0. sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave 0.8 -SLW 0 setgray 0 setlinecap stroke grestore grestore end - 1121 -565 a 2281 593 a - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.97992 0.05994 add 2 div -2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 2.6 add} false /N@1 11 {InitCnode -} NewNode end end - 2281 593 a @beginspecial @setspecial - tx@Dict begin STP newpath 2.6 SLW 0 setgray 5.0 2 div 6.97992 0.05994 -add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 2.6 SLW 0 setgray 0 setlinecap stroke grestore -gsave 1.0 SLW 1 setgray stroke grestore end - - -@endspecial Fv(1)1691 593 y - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.05994 add 2 div -2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@2 11 {InitCnode -} NewNode end end - 1691 593 a @beginspecial -@setspecial - tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.05994 -add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore -end - -@endspecial Fv(2)1121 565 y - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@0 /N@2 InitNC { yB yA sub xB xA sub Atan dup 15.0 add /AngleA -ED 15.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave -0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end - 1121 565 a 1121 -565 a - tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end - 1121 565 a 1121 565 a - tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 11.55904 4.71497 -0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add -exch } PutCoor PutBegin end - 1121 565 a 1073 583 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 11.55904 5.77951 -2.2775 } false /N@x 16 {InitRnode } NewNode end end - 1073 -583 a Ft(\017)i Fv(a)1121 565 y - tx@Dict begin PutEnd end - 1121 565 a 1121 565 a - tx@Dict begin PutEnd end - -1121 565 a 1121 565 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@1 /N@2 InitNC { yB yA sub xB xA sub Atan dup 15.0 add /AngleA -ED 15.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave -0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end - 1121 565 a 1121 565 a - tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end - 1121 565 -a 1121 565 a - tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 4.05904 4.30554 -0.0 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add exch -} PutCoor PutBegin end - 1121 565 a 1104 582 a - tx@Dict begin tx@NodeDict begin {4.30554 0.0 4.05904 2.02951 2.15277 -} false /N@x 16 {InitRnode } NewNode end end - 1104 582 a Ft(\017)1121 -565 y - tx@Dict begin PutEnd end - 1121 565 a 1121 565 a - tx@Dict begin PutEnd end - 1121 565 a 1121 565 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@2 /N@1 InitNC { yB yA sub xB xA sub Atan dup 15.0 add /AngleA -ED 15.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave -0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end - 1121 -565 a 1121 565 a - tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end - 1121 565 a 1121 565 a - tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 -0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add -exch } PutCoor PutBegin end - 1121 565 a 1100 -583 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } -false /N@x 16 {InitRnode } NewNode end end - 1100 583 a Fv(a)1121 565 y - tx@Dict begin PutEnd end - 1121 565 a 1121 565 -a - tx@Dict begin PutEnd end - 1121 565 a 1653 860 a Fv(\(1\))869 1073 y - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.15997 add 2 div -2 copy 0.15997 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@0 11 {InitCnode -} NewNode end end - 869 1073 -a @beginspecial @setspecial - tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.15997 -add 2 div 2 copy 0.15997 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore -end - -@endspecial Fv(0)890 1748 -y - tx@Dict begin tx@NodeDict begin {-28.44543 84.62517 } false /N@start0 -10 {InitPnode } NewNode end end - 890 1748 a 890 1748 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@start0 /N@0 InitNC { yB yA sub xB xA sub Atan dup 0. add /AngleA -ED 0. sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave 0.8 -SLW 0 setgray 0 setlinecap stroke grestore grestore end - 890 1748 a 1312 1777 a - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.97992 0.05994 add 2 div -2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 2.6 add} false /N@1 11 {InitCnode -} NewNode end end - 1312 1777 -a @beginspecial @setspecial - tx@Dict begin STP newpath 2.6 SLW 0 setgray 5.0 2 div 6.97992 0.05994 -add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 2.6 SLW 0 setgray 0 setlinecap stroke grestore -gsave 1.0 SLW 1 setgray stroke grestore end - -@endspecial Fv(1)1312 1251 -y - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.05994 add 2 div -2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@2 11 {InitCnode -} NewNode end end - 1312 1251 a @beginspecial @setspecial - tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.05994 -add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore -end - -@endspecial -Fv(2)890 1748 y - tx@Dict begin tx@NodeDict begin {24.88976 63.29109 } false /N@start2 -10 {InitPnode } NewNode end end - 890 1748 a 890 1748 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@start2 /N@2 InitNC { yB yA sub xB xA sub Atan dup 0. add /AngleA -ED 0. sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave 0.8 -SLW 0 setgray 0 setlinecap stroke grestore grestore end - 890 1748 a 890 -1748 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@0 /N@2 InitNC { yB yA sub xB xA sub Atan dup 15.0 add /AngleA -ED 15.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave -0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end - 890 1748 a 890 1748 a - tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end - 890 1748 a 890 1748 a - tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 -0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add -exch } PutCoor PutBegin end - 890 -1748 a 869 1767 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } -false /N@x 16 {InitRnode } NewNode end end - 869 1767 a Fv(a)890 1748 y - tx@Dict begin PutEnd end - 890 1748 -a 890 1748 a - tx@Dict begin PutEnd end - 890 1748 a 890 1748 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@2 /N@1 InitNC { yB yA sub xB xA sub Atan dup 15.0 add /AngleA -ED 15.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave -0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end - 890 1748 a 890 1748 -a - tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end - 890 1748 a 890 1748 a - tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 -0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add -exch } PutCoor PutBegin end - 890 1748 a 869 1767 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } -false /N@x 16 {InitRnode } NewNode end end - 869 1767 -a Fv(a)890 1748 y - tx@Dict begin PutEnd end - 890 1748 a 890 1748 a - tx@Dict begin PutEnd end - 890 1748 a 890 -1748 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { BeginArrow -1. 1. scale false 0.4 1.4 1.5 2. Arrow EndArrow moveto } def /ArrowB -{ } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 0 0 /N@2 -/N@2 InitNC { /AngleA -90. def /r 14.22636 def NCCircle x y r angleA -{ ArrowA CP } { add } ArcArrow angleB arc end } if end gsave 0.8 SLW -0 setgray 0 setlinecap stroke grestore grestore end - 890 1748 a 890 1748 a - tx@Dict begin tx@NodeDict begin /t 0.5 def tx@NodeDict /HPutPos known -{ HPutPos } { CP /Y ED /X ED /NAngle 0 def /NCLW 0 def } ifelse /Sin -NAngle sin def /Cos NAngle cos def /s 5.0 NCLW add def /l 2.5 def /r -2.5 def /h 1.43202 def /d 3.44292 def /flag false def HPutAdjust LPutCoor -end PutBegin end - 890 1748 a 869 1775 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } -false /N@x 16 {InitRnode } NewNode end end - 869 -1775 a Fv(a)890 1748 y - tx@Dict begin PutEnd end - 890 1748 a 1185 1925 a Fv(\(2\))2041 -1539 y - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.15997 add 2 div -2 copy 0.15997 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@0 11 {InitCnode -} NewNode end end - 2041 1539 a @beginspecial @setspecial - tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.15997 -add 2 div 2 copy 0.15997 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore -end - -@endspecial -Fv(0)2062 1748 y - tx@Dict begin tx@NodeDict begin {-22.76672 28.4584 } false /N@start0 -10 {InitPnode } NewNode end end - 2062 1748 a 2062 1748 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@start0 /N@0 InitNC { yB yA sub xB xA sub Atan dup 0. add /AngleA -ED 0. sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave 0.8 -SLW 0 setgray 0 setlinecap stroke grestore grestore end - 2062 1748 a -2514 1304 a - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.97992 0.05994 add 2 div -2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 2.6 add} false /N@1 11 {InitCnode -} NewNode end end - 2514 1304 a @beginspecial @setspecial - tx@Dict begin STP newpath 2.6 SLW 0 setgray 5.0 2 div 6.97992 0.05994 -add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 2.6 SLW 0 setgray 0 setlinecap stroke grestore -gsave 1.0 SLW 1 setgray stroke grestore end - -@endspecial -Fv(1)2514 1776 y - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.05994 add 2 div -2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@2 11 {InitCnode -} NewNode end end - 2514 1776 a @beginspecial @setspecial - tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.05994 -add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore -end - - -@endspecial Fv(2)2062 1748 y - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@0 /N@1 InitNC { yB yA sub xB xA sub Atan dup 20.0 add /AngleA -ED 20.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave -0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end - 2062 1748 a 2062 1748 a - tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end - -2062 1748 a 2062 1748 a - tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 -0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add -exch } PutCoor PutBegin end - 2062 1748 a 2041 1767 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } -false /N@x 16 {InitRnode } NewNode end end - 2041 -1767 a Fv(a)2062 1748 y - tx@Dict begin PutEnd end - 2062 1748 a 2062 1748 a - tx@Dict begin PutEnd end - 2062 -1748 a 2062 1748 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@0 /N@2 InitNC { yB yA sub xB xA sub Atan dup 20.0 add /AngleA -ED 20.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave -0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end - 2062 1748 a 2062 1748 a - tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end - 2062 1748 -a 2062 1748 a - tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 -0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add -exch } PutCoor PutBegin end - 2062 1748 a 2041 1767 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } -false /N@x 16 {InitRnode } NewNode end end - 2041 1767 a Fv(a)2062 -1748 y - tx@Dict begin PutEnd end - 2062 1748 a 2062 1748 a - tx@Dict begin PutEnd end - 2062 1748 a 2062 1748 -a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { BeginArrow -1. 1. scale false 0.4 1.4 1.5 2. Arrow EndArrow moveto } def /ArrowB -{ } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 0 0 /N@1 -/N@1 InitNC { /AngleA -90. def /r 14.22636 def NCCircle x y r angleA -{ ArrowA CP } { add } ArcArrow angleB arc end } if end gsave 0.8 SLW -0 setgray 0 setlinecap stroke grestore grestore end - 2062 1748 a 2062 1748 a - tx@Dict begin tx@NodeDict begin /t 0.5 def tx@NodeDict /HPutPos known -{ HPutPos } { CP /Y ED /X ED /NAngle 0 def /NCLW 0 def } ifelse /Sin -NAngle sin def /Cos NAngle cos def /s 5.0 NCLW add def /l 2.5 def /r -2.5 def /h 1.43202 def /d 3.44292 def /flag false def HPutAdjust LPutCoor -end PutBegin end - 2062 1748 a 2041 1775 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } -false /N@x 16 {InitRnode } NewNode end end - 2041 -1775 a Fv(a)2062 1748 y - tx@Dict begin PutEnd end - 2062 1748 a 2062 1748 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@2 /N@1 InitNC { yB yA sub xB xA sub Atan dup 20.0 add /AngleA -ED 20.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave -0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end - 2062 -1748 a 2062 1748 a - tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end - 2062 1748 a 2062 1748 a - tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 -0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add -exch } PutCoor PutBegin end - 2062 1748 -a 2041 1767 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } -false /N@x 16 {InitRnode } NewNode end end - 2041 1767 a Fv(a)2062 1748 y - tx@Dict begin PutEnd end - 2062 1748 -a 2062 1748 a - tx@Dict begin PutEnd end - 2062 1748 a 2298 1890 a Fv(\(3\))653 2209 -y - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.15997 add 2 div -2 copy 0.15997 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@0 11 {InitCnode -} NewNode end end - 653 2209 a @beginspecial @setspecial - tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.15997 -add 2 div 2 copy 0.15997 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore -end - -@endspecial Fv(0)674 -2182 y - tx@Dict begin tx@NodeDict begin {-22.76672 0.0 } false /N@start0 10 -{InitPnode } NewNode end end - 674 2182 a 674 2182 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@start0 /N@0 InitNC { yB yA sub xB xA sub Atan dup 0. add /AngleA -ED 0. sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave 0.8 -SLW 0 setgray 0 setlinecap stroke grestore grestore end - 674 2182 a 1126 2210 a - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.97992 0.05994 add 2 div -2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 2.6 add} false /N@1 11 {InitCnode -} NewNode end end - 1126 -2210 a @beginspecial @setspecial - tx@Dict begin STP newpath 2.6 SLW 0 setgray 5.0 2 div 6.97992 0.05994 -add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 2.6 SLW 0 setgray 0 setlinecap stroke grestore -gsave 1.0 SLW 1 setgray stroke grestore end - -@endspecial Fv(1)674 -2182 y - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@0 /N@1 InitNC { yB yA sub xB xA sub Atan dup 20.0 add /AngleA -ED 20.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave -0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end - 674 2182 a 674 2182 a - tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end - 674 2182 a 674 2182 a - tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 -0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add -exch } PutCoor PutBegin end - 674 -2182 a 653 2200 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } -false /N@x 16 {InitRnode } NewNode end end - 653 2200 a Fv(a)674 2182 y - tx@Dict begin PutEnd end - 674 2182 -a 674 2182 a - tx@Dict begin PutEnd end - 674 2182 a 674 2182 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { BeginArrow -1. 1. scale false 0.4 1.4 1.5 2. Arrow EndArrow moveto } def /ArrowB -{ } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 0 0 /N@1 -/N@1 InitNC { /AngleA -90. def /r 14.22636 def NCCircle x y r angleA -{ ArrowA CP } { add } ArcArrow angleB arc end } if end gsave 0.8 SLW -0 setgray 0 setlinecap stroke grestore grestore end - 674 2182 a 674 2182 -a - tx@Dict begin tx@NodeDict begin /t 0.5 def tx@NodeDict /HPutPos known -{ HPutPos } { CP /Y ED /X ED /NAngle 0 def /NCLW 0 def } ifelse /Sin -NAngle sin def /Cos NAngle cos def /s 5.0 NCLW add def /l 2.5 def /r -2.5 def /h 1.43202 def /d 3.44292 def /flag false def HPutAdjust LPutCoor -end PutBegin end - 674 2182 a 653 2209 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } -false /N@x 16 {InitRnode } NewNode end end - 653 2209 a Fv(a)674 2182 y - tx@Dict begin PutEnd end - 674 -2182 a 910 2323 a Fv(\(4\))1855 2209 y - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.15997 add 2 div -2 copy 0.15997 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@0 11 {InitCnode -} NewNode end end - 1855 2209 a @beginspecial -@setspecial - tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.15997 -add 2 div 2 copy 0.15997 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore -end - -@endspecial Fv(0)1876 2182 y - tx@Dict begin tx@NodeDict begin {-22.76672 0.0 } false /N@start0 10 -{InitPnode } NewNode end end - 1876 2182 a -1876 2182 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@start0 /N@0 InitNC { yB yA sub xB xA sub Atan dup 0. add /AngleA -ED 0. sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave 0.8 -SLW 0 setgray 0 setlinecap stroke grestore grestore end - 1876 2182 a 2328 2210 a - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.97992 0.05994 add 2 div -2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 2.6 add} false /N@1 11 {InitCnode -} NewNode end end - 2328 2210 a @beginspecial -@setspecial - tx@Dict begin STP newpath 2.6 SLW 0 setgray 5.0 2 div 6.97992 0.05994 -add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 2.6 SLW 0 setgray 0 setlinecap stroke grestore -gsave 1.0 SLW 1 setgray stroke grestore end - -@endspecial Fv(1)2800 2210 y - tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.05994 add 2 div -2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 2.6 add} false /N@2 11 {InitCnode -} NewNode end end - 2800 2210 a -@beginspecial @setspecial - tx@Dict begin STP newpath 2.6 SLW 0 setgray 5.0 2 div 6.8299 0.05994 -add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 -360 arc closepath gsave 2.6 SLW 0 setgray 0 setlinecap stroke grestore -gsave 1.0 SLW 1 setgray stroke grestore end - -@endspecial Fv(2)1876 2182 -y - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@0 /N@1 InitNC { yB yA sub xB xA sub Atan dup 20.0 add /AngleA -ED 20.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave -0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end - 1876 2182 a 1876 2182 a - tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end - 1876 2182 a 1876 2182 a - tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 -0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add -exch } PutCoor PutBegin end - 1876 -2182 a 1855 2200 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } -false /N@x 16 {InitRnode } NewNode end end - 1855 2200 a Fv(a)1876 2182 y - tx@Dict begin PutEnd end - 1876 -2182 a 1876 2182 a - tx@Dict begin PutEnd end - 1876 2182 a 1876 2182 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto -} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow - EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 -0 0 /N@1 /N@2 InitNC { yB yA sub xB xA sub Atan dup 20.0 add /AngleA -ED 20.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave -0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end - 1876 2182 -a 1876 2182 a - tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end - 1876 2182 a 1876 2182 a - tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 -0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add -exch } PutCoor PutBegin end - 1876 2182 a 1855 -2200 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } -false /N@x 16 {InitRnode } NewNode end end - 1855 2200 a Fv(a)1876 2182 y - tx@Dict begin PutEnd end - 1876 2182 a 1876 -2182 a - tx@Dict begin PutEnd end - 1876 2182 a 1876 2182 a - tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { BeginArrow -1. 1. scale false 0.4 1.4 1.5 2. Arrow EndArrow moveto } def /ArrowB -{ } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 0 0 /N@2 -/N@2 InitNC { /AngleA -90. def /r 14.22636 def NCCircle x y r angleA -{ ArrowA CP } { add } ArcArrow angleB arc end } if end gsave 0.8 SLW -0 setgray 0 setlinecap stroke grestore grestore end - 1876 2182 a 1876 2182 -a - tx@Dict begin tx@NodeDict begin /t 0.5 def tx@NodeDict /HPutPos known -{ HPutPos } { CP /Y ED /X ED /NAngle 0 def /NCLW 0 def } ifelse /Sin -NAngle sin def /Cos NAngle cos def /s 5.0 NCLW add def /l 2.5 def /r -2.5 def /h 1.43202 def /d 3.44292 def /flag false def HPutAdjust LPutCoor -end PutBegin end - 1876 2182 a 1855 2209 a - tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } -false /N@x 16 {InitRnode } NewNode end end - 1855 2209 a Fv(a)1876 2182 -y - tx@Dict begin PutEnd end - 1876 2182 a 2348 2371 a Fv(\(5\))330 2584 y Fd(Figure)d(2)330 -2667 y Fo(Illustration)h(of)f(the)h(dif)o(fer)o(ence)e(in)i(size)f -(between)i(two)f(variants)g(of)g 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L stroke 0 +CLW moveto } def +/RoundBracket { CLW mul add dup 2 div /x ED mul /y ED /mtrx CM def 0 CLW +2 div T x y mul 0 ne { x y scale } if 1 1 moveto .85 .5 .35 0 0 0 +curveto -.35 0 -.85 .5 -1 1 curveto mtrx setmatrix stroke 0 CLW moveto } +def +/SD { 0 360 arc fill } def +/EndDot { { /z DS def } { /z 0 def } ifelse /b ED 0 z DS SD b { 0 z DS +CLW sub SD } if 0 DS z add CLW 4 div sub moveto } def +/Shadow { [ { /moveto load } { /lineto load } { /curveto load } { +/closepath load } /pathforall load stopped { pop pop pop pop CP /moveto +load } if ] cvx newpath 3 1 roll T exec } def +/NArray { aload length 2 div dup dup cvi eq not { exch pop } if /n exch +cvi def } def +/NArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop } if +f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def +/Line { NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub +def n { Lineto } repeat CP 4 2 roll ArrowB L pop pop } if } def +/Arcto { /a [ 6 -2 roll ] cvx def a r /arcto load stopped { 5 } { 4 } +ifelse { pop } repeat a } def +/CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq +and { pop pop /n n 1 sub def } if } def +/Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop } +repeat } { n 3 gt { CheckClosed } if n 2 mul -2 roll /y0 ED /x0 ED /y1 +ED /x1 ED x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 +moveto /n n 2 sub def n { Lineto } repeat x1 y1 x0 y0 6 4 roll Lineto +Lineto pop pop closepath } ifelse } def +/Diamond { /mtrx CM def T rotate /h ED /w ED dup 0 eq { pop } { CLW mul +neg /d ED /a w h Atan def /h d a sin Div h add def /w d a cos Div w add +def } ifelse mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 +div /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx +setmatrix } def +% DG modification begin - Jan. 15, 1997 +%/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup 0 eq { +%pop } { CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2 +%div dup cos exch sin Div mul sub def } ifelse mark 0 d w neg d 0 h w d 0 +%d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx +%setmatrix } def +/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup +CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2 +div dup cos exch sin Div mul sub def mark 0 d w neg d 0 h w d 0 +d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx +% DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis) +% setmatrix } def +setmatrix pop } def +% DG/SR modification end +/CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth +def } def +/CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth +def } def +/CC { /l0 l1 def /x1 x dx sub def /y1 y dy sub def /dx0 dx1 def /dy0 dy1 +def CCA /dx dx0 l1 c exp mul dx1 l0 c exp mul add def /dy dy0 l1 c exp +mul dy1 l0 c exp mul add def /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos +abs b exp a mul dx dy Pyth Div 2 div def /x2 x l0 dx mul m mul sub def +/y2 y l0 dy mul m mul sub def /dx l1 dx mul m mul neg def /dy l1 dy mul +m mul neg def } def +/IC { /c c 1 add def c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } +ifelse /a a 2 mul 3 div 45 cos b exp div def CCA /dx 0 def /dy 0 def } +def +/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def +/NC { CC x1 y1 x2 y2 x y curveto } def +/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def +/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def +/NAC { x2 y2 x y curveto CC x1 y1 } def +/EAC { x2 y2 x y ArrowB curveto pop pop } def +/OpenCurve { NArray n 3 lt { n { pop pop } repeat } { BOC /n n 3 sub def +n { NC } repeat EOC } ifelse } def +/AltCurve { { false NArray n 2 mul 2 roll [ n 2 mul 3 sub 1 roll ] aload +/Points ED n 2 mul -2 roll } { false NArray } ifelse n 4 lt { n { pop +pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse } def +/ClosedCurve { NArray n 3 lt { n { pop pop } repeat } { n 3 gt { +CheckClosed } if 6 copy n 2 mul 6 add 6 roll IC CC x y moveto n { NC } +repeat closepath pop pop } ifelse } def +/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def +/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def +/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } +def +/FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix +rotate matrix concatmatrix exch findfont exch makefont setfont } def +/Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto +x1 y1 lineto closepath } def +/OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1 +y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div +exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse +/b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto +x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath } +ifelse } def +/Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add +/y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq { +pop pop Rect } { OvalFrame } ifelse } def +/BezierNArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop +} if n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat f { ] +aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def +/OpenBezier { BezierNArray n 1 eq { pop pop } { ArrowA n 4 sub 3 idiv { 6 +2 roll 4 2 roll curveto } repeat 6 2 roll 4 2 roll ArrowB curveto } +ifelse } def +/ClosedBezier { BezierNArray n 1 eq { pop pop } { moveto n 1 sub 3 idiv { +6 2 roll 4 2 roll curveto } repeat closepath } ifelse } def +/BezierShowPoints { gsave Points aload length 2 div cvi /n ED moveto n 1 +sub { lineto } repeat CLW 2 div SLW [ 4 4 ] 0 setdash stroke grestore } +def +/Parab { /y0 exch def /x0 exch def /y1 exch def /x1 exch def /dx x0 x1 +sub 3 div def /dy y0 y1 sub 3 div def x0 dx sub y0 dy add x1 y1 ArrowA +x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB curveto /Points [ x1 y1 x0 +y0 x0 2 mul x1 sub y1 ] def } def +/Grid { newpath /a 4 string def /b ED /c ED /n ED cvi dup 1 lt { pop 1 } +if /s ED s div dup 0 eq { pop 1 } if /dy ED s div dup 0 eq { pop 1 } if +/dx ED dy div round dy mul /y0 ED dx div round dx mul /x0 ED dy div +round cvi /y2 ED dx div round cvi /x2 ED dy div round cvi /y1 ED dx div +round cvi /x1 ED /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def /w x2 x1 sub +0 gt { 1 } { -1 } ifelse def b 0 gt { /z1 b 4 div CLW 2 div add def +/Helvetica findfont b scalefont setfont /b b .95 mul CLW 2 div add def } +if systemdict /setstrokeadjust known { true setstrokeadjust /t { } def } +{ /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add +exch itransform } bind def } ifelse gsave n 0 gt { 1 setlinecap [ 0 dy n +div ] dy n div 2 div setdash } { 2 setlinecap } ifelse /i x1 def /f y1 +dy mul n 0 gt { dy n div 2 div h mul sub } if def /g y2 dy mul n 0 gt { +dy n div 2 div h mul add } if def x2 x1 sub w mul 1 add dup 1000 gt { +pop 1000 } if { i dx mul dup y0 moveto b 0 gt { gsave c i a cvs dup +stringwidth pop /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse h 0 gt {b neg} +{z1} ifelse rmoveto show grestore } if dup t f moveto g t L stroke /i i +w add def } repeat grestore gsave n 0 gt +% DG/SR modification begin - Nov. 7, 1997 - Patch 1 +%{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash } +{ 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash } +% DG/SR modification end +{ 2 setlinecap } ifelse /i y1 def /f x1 dx mul +n 0 gt { dx n div 2 div w mul sub } if def /g x2 dx mul n 0 gt { dx n +div 2 div w mul add } if def y2 y1 sub h mul 1 add dup 1000 gt { pop +1000 } if { newpath i dy mul dup x0 exch moveto b 0 gt { gsave c i a cvs +dup stringwidth pop /z2 ED w 0 gt {z1 z2 add neg} {z1} ifelse h 0 gt +{z1} {b neg} ifelse rmoveto show grestore } if dup f exch t moveto g +exch t L stroke /i i h add def } repeat grestore } def +/ArcArrow { /d ED /b ED /a ED gsave newpath 0 -1000 moveto clip newpath 0 +1 0 0 b grestore c mul /e ED pop pop pop r a e d PtoC y add exch x add +exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c +mul neg d } def +/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def +/Rot { CP CP translate 3 -1 roll neg rotate NET } def +/RotBegin { tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } +def } if /TMatrix [ TMatrix CM ] cvx def /a ED a Rot /RAngle [ RAngle +dup a add ] cvx def } def +/RotEnd { /TMatrix [ TMatrix setmatrix ] cvx def /RAngle [ RAngle pop ] +cvx def } def +/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def +/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def +/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def +/Uput { /a ED add 2 div /h ED 2 div /w ED /s a sin def /c a cos def /b s +abs c abs 2 copy gt dup /q ED { pop } { exch pop } ifelse def /w1 c b +div w mul def /h1 s b div h mul def q { w1 abs w sub dup c mul abs } { +h1 abs h sub dup s mul abs } ifelse } def +/UUput { /z ED abs /y ED /x ED q { x s div c mul abs y gt } { x c div s +mul abs y gt } ifelse { x x mul y y mul sub z z mul add sqrt z add } { q +{ x s div } { x c div } ifelse abs } ifelse a PtoC h1 add exch w1 add +exch } def +/BeginOL { dup (all) eq exch TheOL eq or { IfVisible not { Visible +/IfVisible true def } if } { IfVisible { Invisible /IfVisible false def +} if } ifelse } def +/InitOL { /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def +/Visible { CP OLUnit idtransform T moveto } def /Invisible { CP OLUnit +neg exch neg exch idtransform T moveto } def /BOL { BeginOL } def +/IfVisible true def } def +end +% END pstricks.pro + +%%EndProcSet +%%BeginProcSet: pst-dots.pro +10 dict dup begin + /FontType 3 def + /FontMatrix [ .001 0 0 .001 0 0 ] def + /FontBBox [ 0 0 0 0 ] def + /Encoding 256 array def + 0 1 255 { Encoding exch /.notdef put } for + Encoding + dup (b) 0 get /Bullet put + dup (c) 0 get /Circle put + dup (C) 0 get /BoldCircle put + dup (u) 0 get /SolidTriangle put + dup (t) 0 get /Triangle put + dup (T) 0 get /BoldTriangle put + dup (r) 0 get /SolidSquare put + dup (s) 0 get /Square put + dup (S) 0 get /BoldSquare put + dup (q) 0 get /SolidPentagon put + dup (p) 0 get /Pentagon put + (P) 0 get /BoldPentagon put + /Metrics 13 dict def + Metrics begin + /Bullet 1000 def + /Circle 1000 def + /BoldCircle 1000 def + /SolidTriangle 1344 def + /Triangle 1344 def + /BoldTriangle 1344 def + /SolidSquare 886 def + /Square 886 def + /BoldSquare 886 def + /SolidPentagon 1093.2 def + /Pentagon 1093.2 def + /BoldPentagon 1093.2 def + /.notdef 0 def + end + /BBoxes 13 dict def + BBoxes begin + /Circle { -550 -550 550 550 } def + /BoldCircle /Circle load def + /Bullet /Circle load def + /Triangle { -571.5 -330 571.5 660 } def + /BoldTriangle /Triangle load def + /SolidTriangle /Triangle load def + /Square { -450 -450 450 450 } def + /BoldSquare /Square load def + /SolidSquare /Square load def + /Pentagon { -546.6 -465 546.6 574.7 } def + /BoldPentagon /Pentagon load def + /SolidPentagon /Pentagon load def + /.notdef { 0 0 0 0 } def + end + /CharProcs 20 dict def + CharProcs begin + /Adjust { + 2 copy dtransform floor .5 add exch floor .5 add exch idtransform + 3 -1 roll div 3 1 roll exch div exch scale + } def + /CirclePath { 0 0 500 0 360 arc closepath } def + /Bullet { 500 500 Adjust CirclePath fill } def + /Circle { 500 500 Adjust CirclePath .9 .9 scale CirclePath eofill } def + /BoldCircle { 500 500 Adjust CirclePath .8 .8 scale CirclePath eofill } def + /BoldCircle { CirclePath .8 .8 scale CirclePath eofill } def + /TrianglePath { + 0 660 moveto -571.5 -330 lineto 571.5 -330 lineto closepath + } def + /SolidTriangle { TrianglePath fill } def + /Triangle { TrianglePath .85 .85 scale TrianglePath eofill } def + /BoldTriangle { TrianglePath .7 .7 scale TrianglePath eofill } def + /SquarePath { + -450 450 moveto 450 450 lineto 450 -450 lineto -450 -450 lineto + closepath + } def + /SolidSquare { SquarePath fill } def + /Square { SquarePath .89 .89 scale SquarePath eofill } def + /BoldSquare { SquarePath .78 .78 scale SquarePath eofill } def + /PentagonPath { + -337.8 -465 moveto + 337.8 -465 lineto + 546.6 177.6 lineto + 0 574.7 lineto + -546.6 177.6 lineto + closepath + } def + /SolidPentagon { PentagonPath fill } def + /Pentagon { PentagonPath .89 .89 scale PentagonPath eofill } def + /BoldPentagon { PentagonPath .78 .78 scale PentagonPath eofill } def + /.notdef { } def + end + /BuildGlyph { + exch + begin + Metrics 1 index get exec 0 + BBoxes 3 index get exec + setcachedevice + CharProcs begin load exec end + end + } def + /BuildChar { + 1 index /Encoding get exch get + 1 index /BuildGlyph get exec + } bind def +end +/PSTricksDotFont exch definefont pop +% END pst-dots.pro + +%%EndProcSet +%%BeginProcSet: pst-node.pro +% PostScript prologue for pst-node.tex. +% Version 97 patch 1, 97/05/09. +% For distribution, see pstricks.tex. +% +/tx@NodeDict 400 dict def tx@NodeDict begin +tx@Dict begin /T /translate load def end +/NewNode { gsave /next ED dict dup 3 1 roll def exch { dup 3 1 roll def } +if begin tx@Dict begin STV CP T exec end /NodeMtrx CM def next end +grestore } def +/InitPnode { /Y ED /X ED /NodePos { NodeSep Cos mul NodeSep Sin mul } def +} def +/InitCnode { /r ED /Y ED /X ED /NodePos { NodeSep r add dup Cos mul exch +Sin mul } def } def +/GetRnodePos { Cos 0 gt { /dx r NodeSep add def } { /dx l NodeSep sub def +} ifelse Sin 0 gt { /dy u NodeSep add def } { /dy d NodeSep sub def } +ifelse dx Sin mul abs dy Cos mul abs gt { dy Cos mul Sin div dy } { dx +dup Sin mul Cos Div } ifelse } def +/InitRnode { /Y ED /X ED X sub /r ED /l X neg def Y add neg /d ED Y sub +/u ED /NodePos { GetRnodePos } def } def +/DiaNodePos { w h mul w Sin mul abs h Cos mul abs add Div NodeSep add dup +Cos mul exch Sin mul } def +/TriNodePos { Sin s lt { d NodeSep sub dup Cos mul Sin Div exch } { w h +mul w Sin mul h Cos abs mul add Div NodeSep add dup Cos mul exch Sin mul +} ifelse } def +/InitTriNode { sub 2 div exch 2 div exch 2 copy T 2 copy 4 index index /d +ED pop pop pop pop -90 mul rotate /NodeMtrx CM def /X 0 def /Y 0 def d +sub abs neg /d ED d add /h ED 2 div h mul h d sub Div /w ED /s d w Atan +sin def /NodePos { TriNodePos } def } def +/OvalNodePos { /ww w NodeSep add def /hh h NodeSep add def Sin ww mul Cos +hh mul Atan dup cos ww mul exch sin hh mul } def +/GetCenter { begin X Y NodeMtrx transform CM itransform end } def +/XYPos { dup sin exch cos Do /Cos ED /Sin ED /Dist ED Cos 0 gt { Dist +Dist Sin mul Cos div } { Cos 0 lt { Dist neg Dist Sin mul Cos div neg } +{ 0 Dist Sin mul } ifelse } ifelse Do } def +/GetEdge { dup 0 eq { pop begin 1 0 NodeMtrx dtransform CM idtransform +exch atan sub dup sin /Sin ED cos /Cos ED /NodeSep ED NodePos NodeMtrx +dtransform CM idtransform end } { 1 eq {{exch}} {{}} ifelse /Do ED pop +XYPos } ifelse } def +/AddOffset { 1 index 0 eq { pop pop } { 2 copy 5 2 roll cos mul add 4 1 +roll sin mul sub exch } ifelse } def +/GetEdgeA { NodeSepA AngleA NodeA NodeSepTypeA GetEdge OffsetA AngleA +AddOffset yA add /yA1 ED xA add /xA1 ED } def +/GetEdgeB { NodeSepB AngleB NodeB NodeSepTypeB GetEdge OffsetB AngleB +AddOffset yB add /yB1 ED xB add /xB1 ED } def +/GetArmA { ArmTypeA 0 eq { /xA2 ArmA AngleA cos mul xA1 add def /yA2 ArmA +AngleA sin mul yA1 add def } { ArmTypeA 1 eq {{exch}} {{}} ifelse /Do ED +ArmA AngleA XYPos OffsetA AngleA AddOffset yA add /yA2 ED xA add /xA2 ED +} ifelse } def +/GetArmB { ArmTypeB 0 eq { /xB2 ArmB AngleB cos mul xB1 add def /yB2 ArmB +AngleB sin mul yB1 add def } { ArmTypeB 1 eq {{exch}} {{}} ifelse /Do ED +ArmB AngleB XYPos OffsetB AngleB AddOffset yB add /yB2 ED xB add /xB2 ED +} ifelse } def +/InitNC { /b ED /a ED /NodeSepTypeB ED /NodeSepTypeA ED /NodeSepB ED +/NodeSepA ED /OffsetB ED /OffsetA ED tx@NodeDict a known tx@NodeDict b +known and dup { /NodeA a load def /NodeB b load def NodeA GetCenter /yA +ED /xA ED NodeB GetCenter /yB ED /xB ED } if } def +/LPutLine { 4 copy 3 -1 roll sub neg 3 1 roll sub Atan /NAngle ED 1 t sub +mul 3 1 roll 1 t sub mul 4 1 roll t mul add /Y ED t mul add /X ED } def +/LPutLines { mark LPutVar counttomark 2 div 1 sub /n ED t floor dup n gt +{ pop n 1 sub /t 1 def } { dup t sub neg /t ED } ifelse cvi 2 mul { pop +} repeat LPutLine cleartomark } def +/BezierMidpoint { /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED /y0 ED /x0 ED +/t ED /cx x1 x0 sub 3 mul def /cy y1 y0 sub 3 mul def /bx x2 x1 sub 3 +mul cx sub def /by y2 y1 sub 3 mul cy sub def /ax x3 x0 sub cx sub bx +sub def /ay y3 y0 sub cy sub by sub def ax t 3 exp mul bx t t mul mul +add cx t mul add x0 add ay t 3 exp mul by t t mul mul add cy t mul add +y0 add 3 ay t t mul mul mul 2 by t mul mul add cy add 3 ax t t mul mul +mul 2 bx t mul mul add cx add atan /NAngle ED /Y ED /X ED } def +/HPosBegin { yB yA ge { /t 1 t sub def } if /Y yB yA sub t mul yA add def +} def +/HPosEnd { /X Y yyA sub yyB yyA sub Div xxB xxA sub mul xxA add def +/NAngle yyB yyA sub xxB xxA sub Atan def } def +/HPutLine { HPosBegin /yyA ED /xxA ED /yyB ED /xxB ED HPosEnd } def +/HPutLines { HPosBegin yB yA ge { /check { le } def } { /check { ge } def +} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { dup Y check { exit +} { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark HPosEnd +} def +/VPosBegin { xB xA lt { /t 1 t sub def } if /X xB xA sub t mul xA add def +} def +/VPosEnd { /Y X xxA sub xxB xxA sub Div yyB yyA sub mul yyA add def +/NAngle yyB yyA sub xxB xxA sub Atan def } def +/VPutLine { VPosBegin /yyA ED /xxA ED /yyB ED /xxB ED VPosEnd } def +/VPutLines { VPosBegin xB xA ge { /check { le } def } { /check { ge } def +} ifelse /xxA xA def /yyA yA def mark xB yB LPutVar { 1 index X check { +exit } { /yyA ED /xxA ED } ifelse } loop /yyB ED /xxB ED cleartomark +VPosEnd } def +/HPutCurve { gsave newpath /SaveLPutVar /LPutVar load def LPutVar 8 -2 +roll moveto curveto flattenpath /LPutVar [ {} {} {} {} pathforall ] cvx +def grestore exec /LPutVar /SaveLPutVar load def } def +/NCCoor { /AngleA yB yA sub xB xA sub Atan def /AngleB AngleA 180 add def +GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 xA1 yA1 ] cvx def /LPutPos { +LPutVar LPutLine } def /HPutPos { LPutVar HPutLine } def /VPutPos { +LPutVar VPutLine } def LPutVar } def +/NCLine { NCCoor tx@Dict begin ArrowA CP 4 2 roll ArrowB lineto pop pop +end } def +/NCLines { false NArray n 0 eq { NCLine } { 2 copy yA sub exch xA sub +Atan /AngleA ED n 2 mul dup index exch index yB sub exch xB sub Atan +/AngleB ED GetEdgeA GetEdgeB /LPutVar [ xB1 yB1 n 2 mul 4 add 4 roll xA1 +yA1 ] cvx def mark LPutVar tx@Dict begin false Line end /LPutPos { +LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def } +ifelse } def +/NCCurve { GetEdgeA GetEdgeB xA1 xB1 sub yA1 yB1 sub Pyth 2 div dup 3 -1 +roll mul /ArmA ED mul /ArmB ED /ArmTypeA 0 def /ArmTypeB 0 def GetArmA +GetArmB xA2 yA2 xA1 yA1 tx@Dict begin ArrowA end xB2 yB2 xB1 yB1 tx@Dict +begin ArrowB end curveto /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ] +cvx def /LPutPos { t LPutVar BezierMidpoint } def /HPutPos { { HPutLines +} HPutCurve } def /VPutPos { { VPutLines } HPutCurve } def } def +/NCAngles { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate +def xA2 yA2 mtrx transform pop xB2 yB2 mtrx transform exch pop mtrx +itransform /y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA2 +yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end /LPutVar [ xB1 +yB1 xB2 yB2 x0 y0 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { LPutLines } def +/HPutPos { HPutLines } def /VPutPos { VPutLines } def } def +/NCAngle { GetEdgeA GetEdgeB GetArmB /mtrx AngleA matrix rotate def xB2 +yB2 mtrx itransform pop xA1 yA1 mtrx itransform exch pop mtrx transform +/y0 ED /x0 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 x0 y0 xA1 yA1 +tx@Dict begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 x0 y0 xA1 yA1 ] +cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos { +VPutLines } def } def +/NCBar { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate def +xA2 yA2 mtrx itransform pop xB2 yB2 mtrx itransform pop sub dup 0 mtrx +transform 3 -1 roll 0 gt { /yB2 exch yB2 add def /xB2 exch xB2 add def } +{ /yA2 exch neg yA2 add def /xA2 exch neg xA2 add def } ifelse mark ArmB +0 ne { xB1 yB1 } if xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict +begin false Line end /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx +def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos { +VPutLines } def } def +/NCDiag { GetEdgeA GetEdgeB GetArmA GetArmB mark ArmB 0 ne { xB1 yB1 } if +xB2 yB2 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false Line end +/LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { +LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def } +def +/NCDiagg { GetEdgeA GetArmA yB yA2 sub xB xA2 sub Atan 180 add /AngleB ED +GetEdgeB mark xB1 yB1 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin +false Line end /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def /LPutPos { +LPutLines } def /HPutPos { HPutLines } def /VPutPos { VPutLines } def } +def +/NCLoop { GetEdgeA GetEdgeB GetArmA GetArmB /mtrx AngleA matrix rotate +def xA2 yA2 mtrx transform loopsize add /yA3 ED /xA3 ED /xB3 xB2 yB2 +mtrx transform pop def xB3 yA3 mtrx itransform /yB3 ED /xB3 ED xA3 yA3 +mtrx itransform /yA3 ED /xA3 ED mark ArmB 0 ne { xB1 yB1 } if xB2 yB2 +xB3 yB3 xA3 yA3 xA2 yA2 ArmA 0 ne { xA1 yA1 } if tx@Dict begin false +Line end /LPutVar [ xB1 yB1 xB2 yB2 xB3 yB3 xA3 yA3 xA2 yA2 xA1 yA1 ] +cvx def /LPutPos { LPutLines } def /HPutPos { HPutLines } def /VPutPos { +VPutLines } def } def +% DG/SR modification begin - May 9, 1997 - Patch 1 +%/NCCircle { 0 0 NodesepA nodeA \tx@GetEdge pop xA sub 2 div dup 2 exp r +%r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add +%exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360 +%mul add dup 5 1 roll 90 sub \tx@PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED +/NCCircle { NodeSepA 0 NodeA 0 GetEdge pop 2 div dup 2 exp r +r mul sub abs sqrt atan 2 mul /a ED r AngleA 90 add PtoC yA add exch xA add +exch 2 copy /LPutVar [ 4 2 roll r AngleA ] cvx def /LPutPos { LPutVar t 360 +mul add dup 5 1 roll 90 sub PtoC 3 -1 roll add /Y ED add /X ED /NAngle ED +% DG/SR modification end +} def /HPutPos { LPutPos } def /VPutPos { LPutPos } def r AngleA 90 sub a add +AngleA 270 add a sub tx@Dict begin /angleB ED /angleA ED /r ED /c 57.2957 r +Div def /y ED /x ED } def +/NCBox { /d ED /h ED /AngleB yB yA sub xB xA sub Atan def /AngleA AngleB +180 add def GetEdgeA GetEdgeB /dx d AngleB sin mul def /dy d AngleB cos +mul neg def /hx h AngleB sin mul neg def /hy h AngleB cos mul def +/LPutVar [ xA1 hx add yA1 hy add xB1 hx add yB1 hy add xB1 dx add yB1 dy +add xA1 dx add yA1 dy add ] cvx def /LPutPos { LPutLines } def /HPutPos +{ xB yB xA yA LPutLine } def /VPutPos { HPutPos } def mark LPutVar +tx@Dict begin false Polygon end } def +/NCArcBox { /l ED neg /d ED /h ED /a ED /AngleA yB yA sub xB xA sub Atan +def /AngleB AngleA 180 add def /tA AngleA a sub 90 add def /tB tA a 2 +mul add def /r xB xA sub tA cos tB cos sub Div dup 0 eq { pop 1 } if def +/x0 xA r tA cos mul add def /y0 yA r tA sin mul add def /c 57.2958 r div +def /AngleA AngleA a sub 180 add def /AngleB AngleB a add 180 add def +GetEdgeA GetEdgeB /AngleA tA 180 add yA yA1 sub xA xA1 sub Pyth c mul +sub def /AngleB tB 180 add yB yB1 sub xB xB1 sub Pyth c mul add def l 0 +eq { x0 y0 r h add AngleA AngleB arc x0 y0 r d add AngleB AngleA arcn } +{ x0 y0 translate /tA AngleA l c mul add def /tB AngleB l c mul sub def +0 0 r h add tA tB arc r h add AngleB PtoC r d add AngleB PtoC 2 copy 6 2 +roll l arcto 4 { pop } repeat r d add tB PtoC l arcto 4 { pop } repeat 0 +0 r d add tB tA arcn r d add AngleA PtoC r h add AngleA PtoC 2 copy 6 2 +roll l arcto 4 { pop } repeat r h add tA PtoC l arcto 4 { pop } repeat } +ifelse closepath /LPutVar [ x0 y0 r AngleA AngleB h d ] cvx def /LPutPos +{ LPutVar /d ED /h ED /AngleB ED /AngleA ED /r ED /y0 ED /x0 ED t 1 le { +r h add AngleA 1 t sub mul AngleB t mul add dup 90 add /NAngle ED PtoC } +{ t 2 lt { /NAngle AngleB 180 add def r 2 t sub h mul t 1 sub d mul add +add AngleB PtoC } { t 3 lt { r d add AngleB 3 t sub mul AngleA 2 t sub +mul add dup 90 sub /NAngle ED PtoC } { /NAngle AngleA 180 add def r 4 t +sub d mul t 3 sub h mul add add AngleA PtoC } ifelse } ifelse } ifelse +y0 add /Y ED x0 add /X ED } def /HPutPos { LPutPos } def /VPutPos { +LPutPos } def } def +/Tfan { /AngleA yB yA sub xB xA sub Atan def GetEdgeA w xA1 xB sub yA1 yB +sub Pyth Pyth w Div CLW 2 div mul 2 div dup AngleA sin mul yA1 add /yA1 +ED AngleA cos mul xA1 add /xA1 ED /LPutVar [ xA1 yA1 m { xB w add yB xB +w sub yB } { xB yB w sub xB yB w add } ifelse xA1 yA1 ] cvx def /LPutPos +{ LPutLines } def /VPutPos@ { LPutVar flag { 8 4 roll pop pop pop pop } +{ pop pop pop pop 4 2 roll } ifelse } def /VPutPos { VPutPos@ VPutLine } +def /HPutPos { VPutPos@ HPutLine } def mark LPutVar tx@Dict begin +/ArrowA { moveto } def /ArrowB { } def false Line closepath end } def +/LPutCoor { NAngle tx@Dict begin /NAngle ED end gsave CM STV CP Y sub neg +exch X sub neg exch moveto setmatrix CP grestore } def +/LPut { tx@NodeDict /LPutPos known { LPutPos } { CP /Y ED /X ED /NAngle 0 +def } ifelse LPutCoor } def +/HPutAdjust { Sin Cos mul 0 eq { 0 } { d Cos mul Sin div flag not { neg } +if h Cos mul Sin div flag { neg } if 2 copy gt { pop } { exch pop } +ifelse } ifelse s add flag { r add neg } { l add } ifelse X add /X ED } +def +/VPutAdjust { Sin Cos mul 0 eq { 0 } { l Sin mul Cos div flag { neg } if +r Sin mul Cos div flag not { neg } if 2 copy gt { pop } { exch pop } +ifelse } ifelse s add flag { d add } { h add neg } ifelse Y add /Y ED } +def +end +% END pst-node.pro + +%%EndProcSet +%%BeginProcSet: 8r.enc +% @@psencodingfile@{ +% author = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry", +% version = "0.6", +% date = "1 July 1998", +% filename = "8r.enc", +% email = "tex-fonts@@tug.org", +% docstring = "Encoding for TrueType or Type 1 fonts +% to be used with TeX." +% @} +% +% Idea is to have all the characters normally included in Type 1 fonts +% available for typesetting. This is effectively the characters in Adobe +% Standard Encoding + ISO Latin 1 + extra characters from Lucida. +% +% Character code assignments were made as follows: +% +% (1) the Windows ANSI characters are almost all in their Windows ANSI +% positions, because some Windows users cannot easily reencode the +% fonts, and it makes no difference on other systems. The only Windows +% ANSI characters not available are those that make no sense for +% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen +% (173). quotesingle and grave are moved just because it's such an +% irritation not having them in TeX positions. +% +% (2) Remaining characters are assigned arbitrarily to the lower part +% of the range, avoiding 0, 10 and 13 in case we meet dumb software. +% +% (3) Y&Y Lucida Bright includes some extra text characters; in the +% hopes that other PostScript fonts, perhaps created for public +% consumption, will include them, they are included starting at 0x12. +% +% (4) Remaining positions left undefined are for use in (hopefully) +% upward-compatible revisions, if someday more characters are generally +% available. +% +% (5) hyphen appears twice for compatibility with both +% ASCII and Windows. +% +/TeXBase1Encoding [ +% 0x00 (encoded characters from Adobe Standard not in Windows 3.1) + /.notdef /dotaccent /fi /fl + /fraction /hungarumlaut /Lslash /lslash + /ogonek /ring /.notdef + /breve /minus /.notdef +% These are the only two remaining unencoded characters, so may as +% well include them. + /Zcaron /zcaron +% 0x10 + /caron /dotlessi +% (unusual TeX characters available in, e.g., Lucida Bright) + /dotlessj /ff /ffi /ffl + /.notdef /.notdef /.notdef /.notdef + /.notdef /.notdef /.notdef /.notdef + % very contentious; it's so painful not having quoteleft and quoteright + % at 96 and 145 that we move the things normally found there to here. + /grave /quotesingle +% 0x20 (ASCII begins) + /space /exclam /quotedbl /numbersign + /dollar /percent /ampersand /quoteright + /parenleft /parenright /asterisk /plus /comma /hyphen /period /slash +% 0x30 + /zero /one /two /three /four /five /six /seven + /eight /nine /colon /semicolon /less /equal /greater /question +% 0x40 + /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O +% 0x50 + /P /Q /R /S /T /U /V /W + /X /Y /Z /bracketleft /backslash /bracketright /asciicircum /underscore +% 0x60 + /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o +% 0x70 + /p /q /r /s /t /u /v /w + /x /y /z /braceleft /bar /braceright /asciitilde + /.notdef % rubout; ASCII ends +% 0x80 + /.notdef /.notdef /quotesinglbase /florin + /quotedblbase /ellipsis /dagger /daggerdbl + /circumflex /perthousand /Scaron /guilsinglleft + /OE /.notdef /.notdef /.notdef +% 0x90 + /.notdef /.notdef /.notdef /quotedblleft + /quotedblright /bullet /endash /emdash + /tilde /trademark /scaron /guilsinglright + /oe /.notdef /.notdef /Ydieresis +% 0xA0 + /.notdef % nobreakspace + /exclamdown /cent /sterling + /currency /yen /brokenbar /section + /dieresis /copyright /ordfeminine /guillemotleft + /logicalnot + /hyphen % Y&Y (also at 45); Windows' softhyphen + /registered + /macron +% 0xD0 + /degree /plusminus /twosuperior /threesuperior + /acute /mu /paragraph /periodcentered + /cedilla /onesuperior /ordmasculine /guillemotright + /onequarter /onehalf /threequarters /questiondown +% 0xC0 + /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla + /Egrave /Eacute /Ecircumflex /Edieresis + /Igrave /Iacute /Icircumflex /Idieresis +% 0xD0 + /Eth /Ntilde /Ograve /Oacute + /Ocircumflex /Otilde /Odieresis /multiply + /Oslash /Ugrave /Uacute /Ucircumflex + /Udieresis /Yacute /Thorn /germandbls +% 0xE0 + /agrave /aacute /acircumflex /atilde + /adieresis /aring /ae /ccedilla + /egrave /eacute /ecircumflex /edieresis + /igrave /iacute /icircumflex /idieresis +% 0xF0 + /eth /ntilde /ograve /oacute + /ocircumflex /otilde /odieresis /divide + /oslash /ugrave /uacute /ucircumflex + /udieresis /yacute /thorn /ydieresis +] def + +%%EndProcSet +%%BeginProcSet: texps.pro +TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2 +index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll +exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]/Metrics +exch def dict begin Encoding{exch dup type/integertype ne{pop pop 1 sub +dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get div def} +ifelse}forall Metrics/Metrics currentdict end def[2 index currentdict +end definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{ +dup sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 +roll mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def +dup[exch{dup CharStrings exch known not{pop/.notdef/Encoding true def} +if}forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def} +def end + +%%EndProcSet +%%BeginProcSet: special.pro +TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N +/vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N +/rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N +/@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{ +/hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho +X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B +/@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{ +/urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known +{userdict/md get type/dicttype eq{userdict begin md length 10 add md +maxlength ge{/md md dup length 20 add dict copy def}if end md begin +/letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S +atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{ +itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll +transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll +curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf +pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack} +if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 +-1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 +get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip +yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub +neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{ +noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop +90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get +neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr +1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr +2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 +-1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S +TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{ +Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale +}if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState +save N userdict maxlength dict begin/magscale true def normalscale +currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts +/psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x +psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx +psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub +TR/showpage{}N/erasepage{}N/copypage{}N/p 3 def @MacSetUp}N/doclip{ +psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 +roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath +moveto}N/endTexFig{end psf$SavedState restore}N/@beginspecial{SDict +begin/SpecialSave save N gsave normalscale currentpoint TR +@SpecialDefaults count/ocount X/dcount countdictstack N}N/@setspecial{ +CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto +closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx +sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR +}{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse +CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury +lineto closepath clip}if/showpage{}N/erasepage{}N/copypage{}N newpath}N +/@endspecial{count ocount sub{pop}repeat countdictstack dcount sub{end} +repeat grestore SpecialSave restore end}N/@defspecial{SDict begin}N +/@fedspecial{end}B/li{lineto}B/rl{rlineto}B/rc{rcurveto}B/np{/SaveX +currentpoint/SaveY X N 1 setlinecap newpath}N/st{stroke SaveX SaveY +moveto}N/fil{fill SaveX SaveY moveto}N/ellipse{/endangle X/startangle X +/yrad X/xrad X/savematrix matrix currentmatrix N TR xrad yrad scale 0 0 +1 startangle endangle arc savematrix setmatrix}N end + +%%EndProcSet +%%BeginProcSet: color.pro +TeXDict begin/setcmykcolor where{pop}{/setcmykcolor{dup 10 eq{pop +setrgbcolor}{1 sub 4 1 roll 3{3 index add neg dup 0 lt{pop 0}if 3 1 roll +}repeat setrgbcolor pop}ifelse}B}ifelse/TeXcolorcmyk{setcmykcolor}def +/TeXcolorrgb{setrgbcolor}def/TeXcolorgrey{setgray}def/TeXcolorgray{ +setgray}def/TeXcolorhsb{sethsbcolor}def/currentcmykcolor where{pop}{ +/currentcmykcolor{currentrgbcolor 10}B}ifelse/DC{exch dup userdict exch +known{pop pop}{X}ifelse}B/GreenYellow{0.15 0 0.69 0 setcmykcolor}DC +/Yellow{0 0 1 0 setcmykcolor}DC/Goldenrod{0 0.10 0.84 0 setcmykcolor}DC +/Dandelion{0 0.29 0.84 0 setcmykcolor}DC/Apricot{0 0.32 0.52 0 +setcmykcolor}DC/Peach{0 0.50 0.70 0 setcmykcolor}DC/Melon{0 0.46 0.50 0 +setcmykcolor}DC/YellowOrange{0 0.42 1 0 setcmykcolor}DC/Orange{0 0.61 +0.87 0 setcmykcolor}DC/BurntOrange{0 0.51 1 0 setcmykcolor}DC +/Bittersweet{0 0.75 1 0.24 setcmykcolor}DC/RedOrange{0 0.77 0.87 0 +setcmykcolor}DC/Mahogany{0 0.85 0.87 0.35 setcmykcolor}DC/Maroon{0 0.87 +0.68 0.32 setcmykcolor}DC/BrickRed{0 0.89 0.94 0.28 setcmykcolor}DC/Red{ +0 1 1 0 setcmykcolor}DC/OrangeRed{0 1 0.50 0 setcmykcolor}DC/RubineRed{ +0 1 0.13 0 setcmykcolor}DC/WildStrawberry{0 0.96 0.39 0 setcmykcolor}DC +/Salmon{0 0.53 0.38 0 setcmykcolor}DC/CarnationPink{0 0.63 0 0 +setcmykcolor}DC/Magenta{0 1 0 0 setcmykcolor}DC/VioletRed{0 0.81 0 0 +setcmykcolor}DC/Rhodamine{0 0.82 0 0 setcmykcolor}DC/Mulberry{0.34 0.90 +0 0.02 setcmykcolor}DC/RedViolet{0.07 0.90 0 0.34 setcmykcolor}DC +/Fuchsia{0.47 0.91 0 0.08 setcmykcolor}DC/Lavender{0 0.48 0 0 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setcmykcolor}DC/SeaGreen{0.69 0 0.50 0 setcmykcolor}DC/Green{1 0 +1 0 setcmykcolor}DC/ForestGreen{0.91 0 0.88 0.12 setcmykcolor}DC +/PineGreen{0.92 0 0.59 0.25 setcmykcolor}DC/LimeGreen{0.50 0 1 0 +setcmykcolor}DC/YellowGreen{0.44 0 0.74 0 setcmykcolor}DC/SpringGreen{ +0.26 0 0.76 0 setcmykcolor}DC/OliveGreen{0.64 0 0.95 0.40 setcmykcolor} +DC/RawSienna{0 0.72 1 0.45 setcmykcolor}DC/Sepia{0 0.83 1 0.70 +setcmykcolor}DC/Brown{0 0.81 1 0.60 setcmykcolor}DC/Tan{0.14 0.42 0.56 0 +setcmykcolor}DC/Gray{0 0 0 0.50 setcmykcolor}DC/Black{0 0 0 1 +setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end + +%%EndProcSet +%%BeginFont: CMMI9 +%!PS-AdobeFont-1.1: CMMI9 1.100 +%%CreationDate: 1996 Jul 23 07:53:55 + +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. + +11 dict begin +/FontInfo 7 dict dup begin +/version (1.100) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMMI9) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.04 def +/isFixedPitch false def +end readonly def +/FontName /CMMI9 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 15 /epsilon1 put +readonly def +/FontBBox{-29 -250 1075 750}readonly def +/UniqueXX 5087384 def +currentdict end +currentfile eexec +80347982ab3942d930e069a70d0d48311d725e830d1c76fba12e12486e989c98 +74c2b527f0925722787027f44470d484262c360cdfdddf3657533a57bb16f730 +48bfbbfcb73a650484015441fdc837add94ac8fbd2022e3ec8f115d4b4bb7b7f +15388f22cc6198efe768bd9fceb3446ee4a8dc27d6cd152485384ef5f59381ff +da43f2d20c8fb08aa27ab2015b774db10dacfdcd33e60f178c461553146ab427 +bdd7da12534ba078ad3d780414930da4f8d58abefd45db119b10eb409dd89792 +3c6e705479464a4b33ae3d31bfe98efe259f07f7950237bbaee4f7b64ffea83a +757fa717d50c3298392891bfd60e34a056b0d6021da3fd9b8b01bf78b0b23dc4 +ea3b0605150d20b27ff9ea5f2524661019d982a2e47cd7c21ee5ca9ed9227821 +f8d07119397de26838c11d7b35bcedc43e011626e300f8249ed846d7b5ccbd89 +02550cda17ddf113df658fb13f8162681013766863784efac128e01ef997e1a4 +30312afac8f3d948edecd7d5090ab5c864b91d7f6e80256f0e1fc99f1102b74c +61cc456e2e1bedf0e627d5f70f738f963a13666405c51ebf23ca077e97570a2f +1118536b92e585cf1dbd5fbf36a0a5d197538c05304e93a15f3c931168d91d42 +483ef428b1a3f1b7e548fd1d23b80f5523c8b8bf450b02804fb689f915c86693 +f7dfb1c43f681627c7f027021aa3a8179148f1819cd94b8890a9ac63dc1e8a68 +f254b64f6f173c3d02e3ebc037da05074017c8b113e94f4e2d26b467ef9da07e +afd7ea7c86e025af52c5ceeb835951e67e02a38daf1e9e698bd21996c1071e84 +ff7fbe77f6ddf9d06fa92b16ecebcbe0370b5cd9d450d0f2906a105cadf93ed0 +0abc7fcf2c996e7c15e452006e35390d99b9cfc59925f1444c20d9c3e1fc2910 +32cf9fa9d580eac1bc956334da391b870a757c3bee6aa3e005b20988d8587876 +3ced20c6edf2ac2b22890e37ff7aedeb0986d85ae05bc84339bf2116df48c5d1 +cc888bb33d409b06dd70ffd0618b2080442aac439aeb39c20a87ad74ef10629c +f1604db8611e8e4224c5b21ab0c7ebddc77fe9a283b3a8c6a2a9508f6836e3fc +3eae1366b4da4f44cb7a77fd81d278c17775d56cb28b70f18d894bfd1ec1827f +fb16b0d4c1a4ce155da066810170fea53e0d24874d69366a46873838b82ece2e +bb961c260c67b449acd29dd7613c555bdb2105bdddc2924c6064486a50e936ee +a8c6ea5be6ee8441652dd81f930cb7c529ddee172f25588eeec791ff03753b9a +80c10598425b6a0886d6aad2d1d973454b9c6319ac29be6b1fa97f8bbbb1c9fd +acbda78d04e5891f78b85fcd173a827effee79a2fe5df00d2b1b4526b1858fed +dbd207bf886ef031cdf61ad3fadfbc26cb8eb879dd17b9999d8735ee9fde3ba9 +24ce7786237f6c624563022da4d9174a9ef26e2b6baf5b3248761805f2dd2429 +7375b95ecebc05a109d87220a4e2b06b31e2c87f2f892e10c01c3801be734fac +04300c4f912ab08adcb21b68b3fe97230cf30214cab7fe65753c1db70b401dc0 +c3 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark + +%%EndFont +%%BeginFont: CMEX10 +%!PS-AdobeFont-1.1: CMEX10 1.00 +%%CreationDate: 1992 Jul 23 21:22:48 + +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. + +11 dict begin +/FontInfo 7 dict dup begin +/version (1.00) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMEX10) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +end readonly def +/FontName /CMEX10 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 83 /uniontext put +readonly def +/FontBBox{-24 -2960 1454 772}readonly def +/UniqueXX 5000774 def +currentdict end +currentfile eexec +80347982ab3942d930e069a70d0d48311d7190fa2d133a583138f76695558e7a +e9348d37cac6651806d08527c1bb4a062a4835ac37784cc39ad8841404e438b4 +d52d3901e47a1de4f7924e0fb3daf442499175bab1226edf692a4956739f8828 +e80592f450c5d5c22ac88bcfbe9748f61d18243a16f4a4467f084e8e2be46ef4 +7fc51c3a8199e3cda62ff9c4fb73956dab8b6683d2156377808cb35026073e80 +523f59a30d195fcf9b9fce4ffafc6d5649664203ab24acb938d58d246707ffe7 +d62f04bec4b70c21ef75beb2b812622b3c74e969d72d3cd11bd7106294a99caf +0b1629bc7d4de6b96ca82930831d64575f23f4ad06a0e45e315b1d392411be8d +6d73c998789ff258a07a3c8c2057325784514c845500bfd1a971310cfc11d41c +1a167dbd5ff012c60add4e87325f6e5299032a839de65fb1473a166aae1876a4 +414a434f22c1d241591fb36f857df6fa930608750ffc0c54f44994662b1f00f1 +400bf752ea8d83ffc4cb77a290bc2d99981ae59a191748ba5c7ba1a9d2583fd2 +1398452b6ff5d83a059f7eadcd2ef744e9dd22bdf9c79d049bf06835e878c32b +7765c69bdd8ef4deb4ea7cfff4cf9354a4ddffa689de961d16772491c7afbd7f +ffde42400764c68e954ee5c455a5687959829bc3b319b2147deaab3628662c80 +30c5e02fea09609abe4eaa12e217bc3af673f1bc36a7039eb13fcacb4218fe0f +c5a3f9452d4edf46cc91db67b624d4f2d37502fb9f11af4da18ca40b61097f95 +d44329375467ed13c5cb585ec53f62b83ef9502cc755af44bf32b87b8ae9f3f2 +f8dbf72dab90acafbacd280db6aaffaefdff6d5eff26669bac56280a950560e3 +d01714ba38659b0e4e28bf8cdc1f15ff7e3ea9d95a6afbbe3d8e6905aa6d531d +6b6dcab89e2036cc492c65f76ddcc3cfcff33fde3d9ffd10f7a90530fd5c7683 +4329baa902e701ca42717476298c9ff511b1941244bb1dfd0e5cab92a43970cd +1bdb292eadd055c97972844fdcdb0aa06401e7b2632b9d134f96bce0064860f3 +9859da7a9a82be0a840672a1331212752ae1b521b693b384a72dba8d37a86eaf +a0341e7fc5f6ef7a8c566aacb91e8bf5005c18837894c4eacff41dba54e071ca +83fe249b6aa6921340879a644a43e13b3ef9b1db789c61b5927c967d6bf493ca +0c722a7ba6762fda1dcdfeb814981973f4273f9a2220e0fc2e6daa1a100ba89f +a91fba83b432117b682a73d3e36ba6a079c103a03999424264222e5b1040a79e +96bba57dc7d01a8d79396179040acc9c522adc949683542abe58fba208c69e67 +0cce82866c38aff4e1da5771809955c3023c40c6caeee0a28cbc5a2d3f30e340 +345e624bdfbb5f23994d566225a7890711ed54d1dc68411a67f70b73c7bc3083 +683abbfcc8ed1a3caf3ef8b751f1533b359fbc1b029a3c1902d943759319a1e9 +ba7f48b6a34717410abdb15e68c227b0d480ab5a7288426e827bbc9a641200a7 +fca27ee30c2aee6f42b3b29c573be209 + +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark + +%%EndFont +%%BeginFont: CMMI6 +%!PS-AdobeFont-1.1: CMMI6 1.100 +%%CreationDate: 1996 Jul 23 07:53:52 + +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. + +11 dict begin +/FontInfo 7 dict dup begin +/version (1.100) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMMI6) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.04 def +/isFixedPitch false def +end readonly def +/FontName /CMMI6 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 59 /comma put +dup 97 /a put +dup 99 /c put +dup 115 /s put +dup 116 /t put +readonly def +/FontBBox{11 -250 1241 750}readonly def +/UniqueXX 5087381 def +currentdict end +currentfile eexec +80347982ab3942d930e069a70d0d48311d725e830d1c76fba12e12486e989c98 +74c2b527f0925722787027f44470d484262c360cdfdddf3657533a57bb16f730 +48bfbbfcb73a650484015441fdc837add94ac8fbd2022e3ec8f115d4b4bb7b7f +15388f22cc6198efe768bd9fceb3446ee4a8dc27d6cd152485384ef5f59381ff +da43f2d20c8fb08aa27ab2015b774db10dacfdcd33e60f178c461553146ab427 +bdd7da12534ba078ad3d780414930e72218b3075925ce1192f11fc8530fcd5e3 +038e3a6a6db2dcfbae3b4653e7e02730314e02b54a1e296d2bef8a79411d9225 +dad7b4e6d6f9cf0688b69ba21193bf1495807e7a1e67ed7e41cc25acc04702f6 +8ef703e3d45722c1a91fdef7100a48631a02a6f02a08c6b1f9b4df8310385b86 +8632718fd87119a233f219d9411383b7fa9f3e4780d8c27e2e89e0cae883d664 +c3eac57a3aef8988a2e9f0f8c7f53e0a80bdfc4620e21287d0390e1975398544 +7f3ea66401024bea75e1b4c4437b7bb188f76f96b918ac7c6ad7e8ae7f21d8c2 +790f08cccec904fe48ef39e597ed4d4237c1d1f596f5906b19ea308020f7a35c +168e327ec3246b1dfabe912f6b6daac09974876d3996e57d180261110db05f15 +e3e8eebba3d90b5764c03df3033a1ed678ebc679569a2fb297378b25434c0f20 +5313ecb8a952f07242d3ee731b0cdc086a4481178a3d65129c47c09b22e9c431 +e11b3747b94c26a757c38d06001798c6a568303d541385244b967d3b1786edea +f65bb53c4c2fe75e4b1b15c2c78d930b4296c80f08bad86012451edc8e9f0854 +c3b390a16e27b11b3d45a9f72eff8baded2242dc928a61685d79e09681c97425 +5b90a498614cf560fa5b1718981388268ba206a96989e6d0b5d485d9aca5594a +e67dd7b34d8a369adb06647f8aff8814d6d9cdc04a4835918e557174c5bc0f3f +bcea9907a04cf93c12727ec40db3f2f77596dca477862747435bdedacd9b2311 +6cc97fa47ffdd7d897fb6bdd5572e35d34e7e1cb5e7273a4ffd86525323ace4a +84e1297028c2bd5469baa2e75d19360c2c9042139d5e7dd4390a6a3935424711 +de21910126d750ae279916ceb71da3591d60dc62db333c5021e2c1cd61ade51e +9395804fa8f124b194547de13ddc8ce157d5d0de6ed12ffbfc67bff54c817919 +0d0a07b371965275e62be6a0a177be27972dca5212214fbfb473c9a99d2e8ef8 +02dc76d6a57a2b7496a4df89213b422ac457b844e6e965229a421d83cf444959 +2410dcc1b0e7f1626d1f62759f286c9f5e18b7134d30231d696a1db921544385 +106bed821dd146507164b2a3b30b24e4e20b98f0530aa680f1f9486b47111c18 +8fad0bdc5b2f7a3b5413e21b0949ab099fe4d4b0b279915e932c7e2c5847c583 +a8276cf361449b30941b58f722bb505dd717772666c08a788dbc005cc8da3244 +83a70d422e5babd5080625826bce045b168d253465c3a045bc0f56fcd6e2f96e +76b5937ca16e463cd1a97ec08a53f7a50dc3c43d77fc3da62d9b97ae6011ff6a +e32aa6f456435f616af79a96db7509734650f9c3b263f052dee49a7b3770c6c5 +e8fd1a2a941214ded27cb5881cb1abd6dc267ae4942205692fa37890f0539ba5 +b72b188aa91d0401b71a4b7e66c826781936845144068e54f694f07c23c54992 +7b7e33e3114534e8ad553cad8fa4021454b26a74f80254ffbea755f73638b241 +53ad0bf28f299062c9f174d349c78dbc95d4a7611297cabcbfaebb9b75a2a14e +36630b909bec9c0da30b0164c70c4b974ebb3fdcfa6dbca188c498eaa5e59a8d +9342f5d43e6dda23bd45c4600a9c3e3033aaae9ec1b897b12e6775520c7c598f +e66d63a9c5fad7fd4bd96f9e676dd48c319f9dee38761f4dc30de718a83e19bb +eda092f766c26ea6d458036e2cd23d11340a4b4f80875d81d73df69cfa34eab5 +d489802f782958c4d591c32be26b587cb4b35d20a5db418c6bfa50882deffd58 +aba8c69335e69f2f9e2b863d9d0249a2ebbfcbba1a31c3c5134c8b42e99f2d42 +539e2a0373f861f2aec07cd820c963193f024f672c6bc5d28e93e36f48b38e06 +1617dee4d26838455046ba678a97cf2940d7897bd83d50a4a7fee3298f59128a +3da093b2a913376c46cb1995aef8065aecb0db36c1b1b700247b76d2813a59d5 +20abf8974b8310bf63278ed31a9e247f65fa3131ab73c21cbef668bd9da5f6cf +6808fe5c04b2d9615098f382487ff6da3200c1710c3e00503e00325100165525 +e75979f9211d5cff808c0fa4ce75e005bd817b5eb7f32692135003252fab42e9 +9a584fd7534beb3d916c042c816e3d209242a0348292c3af78483a62c44adb2d +77ec304517b2259ef46b82a1c7df01c981042096e02cad52f2c7839e9946c715 +a311293e5f6ba3aed88222c0c06580676372b467c076f1b155541b883c1cac9f +15bb9e6c2998b3bb56 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark + +%%EndFont +%%BeginFont: CMMI7 +%!PS-AdobeFont-1.1: CMMI7 1.100 +%%CreationDate: 1996 Jul 23 07:53:53 + +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. + +11 dict begin +/FontInfo 7 dict dup begin +/version (1.100) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMMI7) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.04 def +/isFixedPitch false def +end readonly def +/FontName /CMMI7 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 59 /comma put +dup 80 /P put +dup 81 /Q put +dup 85 /U put +dup 88 /X put +dup 97 /a put +dup 99 /c put +dup 105 /i put +dup 106 /j put +dup 112 /p put +dup 115 /s put +dup 116 /t put +dup 117 /u put +readonly def +/FontBBox{0 -250 1171 750}readonly def +/UniqueXX 5087382 def +currentdict end +currentfile eexec +80347982ab3942d930e069a70d0d48311d725e830d1c76fba12e12486e989c98 +74c2b527f0925722787027f44470d484262c360cdfdddf3657533a57bb16f730 +48bfbbfcb73a650484015441fdc837add94ac8fbd2022e3ec8f115d4b4bb7b7f +15388f22cc6198efe768bd9fceb3446ee4a8dc27d6cd152485384ef5f59381ff 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All Rights Reserved. + +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMSY10) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.035 def +/isFixedPitch false def +end readonly def +/FontName /CMSY10 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 2 /multiply put +dup 15 /bullet put +dup 18 /reflexsubset put +dup 19 /reflexsuperset put +dup 33 /arrowright put +dup 50 /element put +dup 59 /emptyset put +dup 91 /union put +dup 92 /intersection put +dup 102 /braceleft put +dup 103 /braceright put +dup 106 /bar put +readonly def +/FontBBox{-29 -960 1116 775}readonly def +/UniqueXX 5000820 def +currentdict end +currentfile eexec +9b9c1569015f2c1d2bf560f4c0d52257bac8ced9b09a275ab231194ecf829352 +05826f4e975dcecec72b2cf3a18899ccde1fd935d09d813b096cc6b83cdf4f23 +b9a60db41f9976ac333263c908dcefcdbd4c8402ed00a36e7487634d089fd45a 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All Rights Reserved. + +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMSY7) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.035 def +/isFixedPitch false def +end readonly def +/FontName /CMSY7 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 0 /minus put +dup 3 /asteriskmath put +dup 48 /prime put +dup 50 /element put +dup 106 /bar put +readonly def +/FontBBox{-15 -951 1252 782}readonly def +/UniqueXX 5000817 def +currentdict end +currentfile eexec +9b9c1569015f2c1d2bf560f4c0d52257bac8ced9b09a275ab231194ecf829352 +05826f4e975dcecec72b2cf3a18899ccde1fd935d09d813b096cc6b83cdf4f23 +b9a60db41f9976ac333263c908dcefcdbd4c8402ed00a36e7487634d089fd45a +f4a38a56a4412c3b0baffaeb717bf0de9ffb7a8460bf475a6718b0c73c571145 +d026957276530530a2fbefc6c8f73e9b697ddc0351763500e23c4d170ea8a2d2 +75ad0b6b23097f02fa803c1f46f9ac10fe0e527c431b11b1b9a50e874896cca6 +17fe3e255960846bc319ca68b9b930a45d5d0fc36b352c3443ab6f7793b38d2c +7fb9c409ab7980ead55e9f8f6b83c70088d1fa6d7f2214da8928e40b96334ad2 +72d1b5db9d1355a579b26a8dac21f021e393d7d837a95deb8de92ed818a8b80b +98ee9cdd8a3c57ad7d6eb7a82f43eaa6ec520eefa7302e750edc4b495f70bba2 +24a2182eec37f1a1c5dc8e20973007150237daa6bf03d498826777eeebe09014 +ebfe05a8731e1a421cfc513d47d673e3d94d805f5d0668ffa265e0962cb5a75a +4a93d9b8763c70f88a5d87e970994617fc62f70fb0ed32c459934f23a9f150fa +083cf9eda2757efdfc0ffcf2a563927bbad06da9fbd2cc59328c0d1cbf948664 +ff7eb9e71e42dd9eab74f6d8385bec475fbbbc5d26a9c90ef6e6050ec283a71e +6922d272c3c23863007a9f53cbc7cdf50d3ea31622542858c80e08699eb84656 +ea41df4a8c71471000d202dff2b633a0cf98d403af763ed5240b7e301f14beb6 +0059d1ad4f936e4a3db3338958feb1fa736b970f7b9c0317b9ab2220802aea08 +22f4823816d7cdba7d977abfa1b68382e8ba20c656708ea6599d9912329b2292 +b1672afc5f9806e3aca1e593d770dc728a8798e5e26e536b128c23c131b686d7 +82a279a89e0ff3eb32ef20e5df240933d65f58bd8c79ca297191de63af012daa +658b56745ffaf752d97f342d9ac6c2976fa2a7b56ae33f609451258b9a0cdd1c +f78e711f1878ccbd46489c78534da7ef61aafc7b174d0ec47b78c884b5382993 +8dd2dfffd077c9e38719cb128beefbc65bb2619383071ef0041b8c85762fdba1 +2ab9ae506dd348e40ad87b15727c6729329a2a4f5b674cf802feca3cd12d7b9e +455534b2831cd4cc04a13b890f9dafaded255d79844df6622c203cb82f840afb +8364e5c1e72f39179d7e9dbd4b0778d82840d7ac819be3fbbb93975b34f5a2c1 +874d4112f660462027eb6912f64c049598067ddd0c51e4674034636c4bb0a833 +d50ef70b7b5889cb44a40e8173421082a5058846bde25252254f3258cd8356bc +205f5a2ab23b1babbfe628f2b40753979b7631d163c2a94dc27092273f0382e7 +615a09eeac272e51ddbfb633f1c503ba8f2036c3fbf0608a4e523a12e1613a65 +99149acf52c8b0a077e52551fd08bcb8e7b1d2111f682425deb1e34f227e4103 +06725b89ee10a10996d0aae0d765896f910f97363b9464914c1627d6336bb8f0 +9187f280096696f0e83f7067ac2bb763046b58c206b664d37ca9afe9925055a0 +0c997a12a28cabce6e96d97f782e030ccb2c728053abc09f42 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark + +%%EndFont +%%BeginFont: CMR6 +%!PS-AdobeFont-1.1: CMR6 1.0 +%%CreationDate: 1991 Aug 20 16:39:02 + +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. + +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMR6) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +end readonly def +/FontName /CMR6 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 49 /one put +dup 50 /two put +dup 51 /three put +dup 52 /four put +dup 53 /five put +dup 54 /six put +readonly def +/FontBBox{-20 -250 1193 750}readonly def +/UniqueXX 5000789 def +currentdict end +currentfile eexec +9b9c1569015f2c1d2bf560f4c0d52257bacdd6500abda5ed9835f6a016cfc8f0 +0b6c052ed76a87856b50f4d80dfaeb508c97f8281f3f88b17e4d3b90c0f65ec3 +79791aacdc162a66cbbc5be2f53aad8de72dd113b55a022fbfee658cb95f5bb3 +2ba0357b5e050fddf264a07470bef1c52119b6fbd5c77ebed964ac5a2bbec9d8 +b3e48ae5bb003a63d545774b922b9d5ff6b0066ece43645a131879b032137d6d +823385fe55f3402d557fd3b4486858b2a4b5a0cc2e1bf4e2a4a0e748483c3bcf 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All Rights Reserved. + +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMSY8) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.035 def +/isFixedPitch false def +end readonly def +/FontName /CMSY8 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 3 /asteriskmath put +dup 13 /circlecopyrt put +readonly def +/FontBBox{-30 -955 1185 779}readonly def +/UniqueXX 5000818 def +currentdict end +currentfile eexec +9b9c1569015f2c1d2bf560f4c0d52257bac8ced9b09a275ab231194ecf829352 +05826f4e975dcecec72b2cf3a18899ccde1fd935d09d813b096cc6b83cdf4f23 +b9a60db41f9976ac333263c908dcefcdbd4c8402ed00a36e7487634d089fd45a +f4a38a56a4412c3b0baffaeb717bf0de9ffb7a8460bf475a6718b0c73c571145 +d026957276530530a2fbefc6c8f059084178f5ab59e11b66566ca5ba42b1911a +5d7f1bf343015eece988b7a93bce0c7aa61344d48aed9c92c8698d4b7c9951c8 +7d103f2414b39e1437f9d2e50c4ee5f218f2e6716926a79ea978f13b1f855345 +191dd7d31d8f82c2e3343c7a5894d95bdc492c28226834efcb5c12fea36ac5cc +430e0aa604961e34888adf6c1f3954cbc2498e225d953cf5685852162346f474 +5a2a7087d5d7ad486de16d2ca8e15cee26e012671ba3bdc7d95cc8c98bb774f5 +08625e968aee27ff7d1a06e63bcfb5aa4876c3f8f13b30ccccee73c3caf4e70d +98e6ed2f422dbb4950bf789680e064150995941a9f4dd68a575949847a7d012b +b910bf03a69374e341e8036ff92c949f3dc6e86aaa7a2b79532b36ca1496c973 +3f5e789fa3754f83951039e765b6ef8d37389a18ca2655d971ea0ab2f6131886 +1d71a694f55fc3186d85d232f23b49634341f3d4279a84def32013aabbb89fa4 +20ba8b5a82ec05c02340bfc3e91a5db9a027ddccd503a463a6bf851d16d578a6 +b0a76a6efb49266813508e17c5b74b2890d4c8dad59c3a09170f03dc0265a344 +3356687a0d87b14590aafdc0739693bb5e81d1a98faa93a01a1b550d6ff8f53f +06b1c4158d18ebfd24cf56f2a597d93da619a4034396e94a01a3c6b9f05cc22f +2737d96e86155384cb35c41e2b9f34256e7d2765d1981b70b6e4937f7c0ee777 +e2b72dd324b0de03ffb857bc2d97dc2013e0a7c0a796a2ce060a1ae00065ff25 +de3f1433f60a0027f873dde7228f44d5bec99f2090494867fa9dc172a5c6b303 +5547be2f6ade63192e3cced295b049b7b61283a13eeb7a1541f72f6b1f464df9 +a6ba7d783987b571200b314418c8f132f0acc95ee967aaec1c8ee0d734dbf8cd +6ca9e20df809650d5e92b4a48e854ec9d24e1f9a0b0d8fe52779156dabe22ce5 +11ed2afc265c8fdd73c8f73e5de20dcac79671963a66b0967d0c83f5f62240b7 +322bbd4a6f4a4532b6997ea91071c95cfab937f912ade36507ac53e60904ee66 +cd828d58a502e0dc +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark + +%%EndFont +%%BeginFont: CMR7 +%!PS-AdobeFont-1.1: CMR7 1.0 +%%CreationDate: 1991 Aug 20 16:39:21 + +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. + +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMR7) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +end readonly def +/FontName /CMR7 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 48 /zero put +dup 49 /one put +dup 50 /two put +dup 51 /three put +readonly def +/FontBBox{-27 -250 1122 750}readonly def +/UniqueXX 5000790 def +currentdict end +currentfile eexec +9b9c1569015f2c1d2bf560f4c0d52257bacdd6500abda5ed9835f6a016cfc8f0 +0b6c052ed76a87856b50f4d80dfaeb508c97f8281f3f88b17e4d3b90c0f65ec3 +79791aacdc162a66cbbc5be2f53aad8de72dd113b55a022fbfee658cb95f5bb3 +2ba0357b5e050fddf264a07470bef1c52119b6fbd5c77ebed964ac5a2bbec9d8 +b3e48ae5bb003a63d545774b922b9d5ff6b0066ece43645a131879b032137d6d +823385fe55f3402d557fd3b448685940729e6e22f4be0e08c6505cba868f7950 +93f556b64b808dd710eb936d3ac83e5783b5f7e56d363a59a026a5619a357d21 +c4e77bea121eb24b09027d1aad93158edf912940e91cd2f17922b35885894644 +7773730bb19af9e70453e1b78d5edc123b273a979891d6d5e624f4a388f3897e +13b045e34b4ee2f5e4fc5e996d3549640010c671de14d18b0b3cd300e57dac03 +22e59bfbf7b29422230870f5897fcfaad4b50c7c1c58edcd119218163d6f6e56 +25ccb882db7b6d09a1586508e8cb642a11c29a46915e4a96e282079cb21922c1 +c2e360b487a45302fd22ec8c5fab63e54b5e844d4b17ca2fff37c69c366dd72a +d02922c14c0932f65ed03e4219c117962edbad2dcdeaa9c10ce8af38a4ae52e2 +b377245b0be19a77d6c936e7530cc4d0b78d0cc4a92698fa2870fa54f2d8503e +2d17b3d52fb2febb09f2b2af0c2a1892039ebe19a690098799a858e3d39631bd +6925a154d161df3918074ada6bd52baddd0adc3f07e2d9f15e27cbf7fe8b98c4 +07205c811121fa91e059f2f99322fed63f359ac9da97aec383f067f23e5de331 +51e80f0a88ab50fe8fdae4a5de93c1ae2fdca06150b37246140c0e87cb2325a6 +0d2349162ae3ac93144eee1e665a1289105318fdfe86b6e76251cb25adc967d3 +d0b97fe5e279e1161736ab22b4ca510b964342383a840defd38f96a7280e6ac1 +34e48d740607ff2e7804164a16d47735864db847c97335e6d4215cb99911a1ec +015a3edaac1f28fedd56d2467130d07bae9416c15f0827d27c6c79f59054282a +418c12c157c91223a829947f47592f7cafd93ca182b25a73a9419127e3b12a9e +5167ac3963f2b019b338ac46d63880f94dda4b538835884d2a5538c85528d6bd +977f844d32b43b0e48caed5a4bdabcefe71695d69ca784db55ff8fd5c5c42e30 +40097ef70580328190679602afd080901928e98fe6d2dc73cac402e4e1ca6f7f +432df214ec854aad9718714bdb6ba5281a79414d38ff3b5d49b6265ac26d3e4e +a6c10279881a342085ea3e9bb3dd7f89bcbcfd367ff35c8e711da5022dce9399 +016902f1575ce159c868f1f9ecac906f7a5e7f60fea3c2e71a2548de75ddaf9e +f3bd912397302b349d1897aca3279b170aee052fb7f473ac38ad55bdb638421a +8ebb6dc9887fe398c58ff86217a35ad1bfc089e8a1dd89af1972e100ee0a289f +4cd724cbd37d89e7b30ff19887f6dfd9332f5efe43d6cb6b4e42d9e70c79face +5741a2d96458bb62f8ab9e12848d9bd05d0c1795a0a45b188762163a0ee14418 +476631c149aa9cc61c746cdaf335337be1e733e652d4650291d864efb26b07f2 +63644ba180e34e0fa0eccbb4f7d0372c7288301dd46dd34fb5d055757f818dd0 +e20ae31124469e7e9a345e0e6be9a0c797c9a3c726b17b1550ba3937203f5764 +2d4d44ce8dba5a13c8cbd99e44015855f93084aa67bae6fb9114361be84268fe +6430900fa1fe389b22da19b6c3437999c1365f39c2bb6abd92eadf93c6d9fa1e +ccdd217fc6d1c2842b5187cff6da02b1c3a9a316c414f8dffc71f0e34c35167c +2a2514a30bb7617e533fdc4bcc453d684f5dc7a290b400c57e87a8719901c077 +4ca32a5e311fe7dab79bfe6036621b6831f817c4d7ba447997e12442fe33cfef +f94e68847de78230a79e2841e73382efaca832c888b25d2bb81b4916dbd747fc +172616ae399eed5be00ffcdd22a2d965ebb2adc7d97156efe60c3fb86399ba49 +ba0223ebd12c75a4d2a9cdea372376993f80992e0122f71f4f23992269b1a21e +b6732d9f6ee4a9e584fa56dbeb6147d098ea6144be68211dd20a9c6b688bb5b6 +c9303d9e39fece40bf91e134b3811568dc7444200faf6a60e0e784df471ef31d +de12b813811fc69ed7de6f1d8aaf407db2339d2ad24696e086d14038feec0f66 +d2e7649fc57a6396a480935be9cb7c54ec870169ce7e6c4431deb30a3e577750 +cf914d9c0c5a83919bca88f5d6f9e579 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark + +%%EndFont +%%BeginFont: CMMI10 +%!PS-AdobeFont-1.1: CMMI10 1.100 +%%CreationDate: 1996 Jul 23 07:53:57 + +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. + +11 dict begin +/FontInfo 7 dict dup begin +/version (1.100) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMMI10) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.04 def +/isFixedPitch false def +end readonly def +/FontName /CMMI10 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 14 /delta put +dup 15 /epsilon1 put +dup 58 /period put +dup 59 /comma put +dup 61 /slash put +dup 68 /D put +dup 70 /F put +dup 77 /M put +dup 80 /P put +dup 81 /Q put +dup 83 /S put +dup 84 /T put +dup 85 /U put +dup 97 /a put +dup 98 /b put +dup 110 /n put +dup 112 /p put +dup 113 /q put +dup 114 /r put +dup 115 /s put +dup 116 /t put +dup 117 /u put +readonly def +/FontBBox{-32 -250 1048 750}readonly def +/UniqueXX 5087385 def +currentdict end +currentfile eexec +80347982ab3942d930e069a70d0d48311d725e830d1c76fba12e12486e989c98 +74c2b527f0925722787027f44470d484262c360cdfdddf3657533a57bb16f730 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Fj(\006)p +Ft(;)g(\016)602 2618 y Fl(0)625 2648 y Ft(;)g(S)718 2618 +y Fl(0)741 2648 y Ft(;)g(F)843 2618 y Fl(0)866 2648 y +Fj(\))p Fv(,)46 b(wher)o(e)g Ft(S)1296 2618 y Fl(0)1389 +2648 y Fj(=)69 b Ft(\017)p Fv(-CLOSURE)o Fj(\()p Ft(S)5 +b Fj(\))p Fv(,)46 b Ft(F)2226 2618 y Fl(0)2319 2648 y +Fj(=)69 b Ft(\017)p Fv(-CLOSURE)2904 2610 y Fl(\000)p +Fr(1)2993 2648 y Fj(\()p Ft(F)12 b Fj(\))p Fv(,)46 b(and)330 +2748 y Ft(\016)370 2718 y Fl(0)393 2748 y Fj(\()p Ft(p;)14 +b(a)p Fj(\))42 b(=)f Fk(f)p Ft(q)s Fk(j)p Ft(q)873 2718 +y Fl(0)938 2748 y Fk(2)h Ft(\016)s Fj(\()p Ft(p)1149 +2718 y Fl(0)1172 2748 y Ft(;)14 b(a)p Fj(\))p Ft(;)g(p)1364 +2718 y Fl(0)1429 2748 y Fk(2)42 b Ft(\017)p Fv(-CLOSURE)1977 +2710 y Fl(\000)p Fr(1)2066 2748 y Fj(\()p Ft(p)p Fj(\))p +Ft(;)14 b(q)45 b Fk(2)d Ft(\017)p Fv(-CLOSURE)n Fj(\()p +Ft(q)2910 2718 y Fl(0)2934 2748 y Fj(\))p Fk(g)p Fv(.)30 +b(Instead)330 2848 y(of)20 b(using)h Ft(\017)p Fv(-CLOSURE)e(on)i(both) +g(the)f(sour)o(ce)g(and)g(tar)o(get)f(side)h(of)g(a)g(transition,)g +Fu(efr)o(ee)h Fv(can)f(be)330 2947 y(optimised)h(in)h(two)f(dif)o(fer)o +(ent)e(ways)i(by)f(using)i Ft(\017)p Fv(-CLOSURE)d(only)j(on)f(one)h +(side:)p Black 571 3130 a Fk(\017)p Black 16 w Fu(efr)o(ee)779 +3100 y Fi(t)809 3130 y Fu(:)e Ft(M)940 3100 y Fl(0)986 +3130 y Fj(=)j(\()p Ft(Q;)14 b Fj(\006)p Ft(;)g(\016)1346 +3100 y Fl(0)1369 3130 y Ft(;)g(S)1462 3100 y Fl(0)1485 +3130 y Ft(;)g(F)e Fj(\))p Fv(,)20 b(wher)o(e)h Ft(S)1966 +3100 y Fl(0)2012 3130 y Fj(=)h Ft(\017)p Fv(-CLOSURE)o +Fj(\()p Ft(S)5 b Fj(\))p Fv(,)21 b(and)629 3230 y Ft(\016)669 +3199 y Fl(0)692 3230 y Fj(\()p Ft(p;)14 b(a)p Fj(\))23 +b(=)g Fk(f)p Ft(q)s Fk(j)p Ft(q)1135 3199 y Fl(0)1181 +3230 y Fk(2)g Ft(\016)s Fj(\()p Ft(p;)14 b(a)p Fj(\))p +Ft(;)g(q)27 b Fk(2)c Ft(\017)p Fv(-CLOSURE)o Fj(\()p +Ft(q)2188 3199 y Fl(0)2211 3230 y Fj(\))p Fk(g)p Fv(.)p +Black 571 3396 a Fk(\017)p Black 16 w Fu(efr)o(ee)779 +3365 y Fi(s)815 3396 y Fu(:)e Ft(M)947 3365 y Fl(0)993 +3396 y Fj(=)h(\()p Ft(Q;)14 b Fj(\006)p Ft(;)g(\016)1352 +3365 y Fl(0)1375 3396 y Ft(;)g(S;)g(F)1565 3365 y Fl(0)1588 +3396 y Fj(\))p Fv(,)21 b(wher)o(e)f Ft(F)1976 3365 y +Fl(0)2023 3396 y Fj(=)i Ft(\017)p Fv(-CLOSURE)2561 3357 +y Fl(\000)p Fr(1)2650 3396 y Fj(\()p Ft(F)12 b Fj(\))p +Fv(,)21 b(and)629 3495 y Ft(\016)669 3465 y Fl(0)692 +3495 y Fj(\()p Ft(p;)14 b(a)p Fj(\))23 b(=)g Fk(f)p Ft(q)s +Fk(j)p Ft(q)j Fk(2)d Ft(\016)s Fj(\()p Ft(p)1350 3465 +y Fl(0)1374 3495 y Ft(;)14 b(a)p Fj(\))p Ft(;)g(p)1566 +3465 y Fl(0)1612 3495 y Fk(2)23 b Ft(\017)p Fv(-CLOSURE)2141 +3457 y Fl(\000)p Fr(1)2230 3495 y Fj(\()p Ft(p)p Fj(\))p +Fk(g)p Fv(.)479 3678 y(Although)d(both)e(variants)g(appear)f(very)g +(similar)-6 b(,)18 b(ther)o(e)g(ar)o(e)e(some)j(dif)o(fer)o(ences.)d +(Firstly)-9 b(,)330 3778 y Fu(efr)o(ee)480 3747 y Fi(t)533 +3778 y Fv(might)24 b(intr)o(oduce)e(states)h(which)g(ar)o(e)f(not)h +Fu(co-accessible)p Fv(:)g(states)g(fr)o(om)f(which)i(no)f(path)330 +3877 y(exists)g(to)g(a)f(\002nal)h(state;)f(in)h(contrast,)g +Fu(efr)o(ee)1700 3847 y Fi(s)1759 3877 y Fv(might)g(intr)o(oduce)g +(states)f(which)i(ar)o(e)d(not)i Fu(acces-)330 3977 y(sible)p +Fv(:)e(states)g(fr)o(om)e(which)j(no)f(path)f(exists)h(fr)o(om)f(the)g +(start)g(state.)g(A)g(straightforwar)o(d)f(mod-)330 4076 +y(i\002cation)27 b(of)g(both)g(algorithms)g(is)g(possible)g(to)g(ensur) +o(e)f(that)g(these)h(states)f(ar)o(e)f(not)j(pr)o(esent)330 +4176 y(in)i(the)g(output.)f(Thus)h Fu(efr)o(ee)1240 4146 +y Fi(t;c)1349 4176 y Fv(ensur)o(es)f(that)h(all)f(states)g(in)h(the)g +(r)o(esulting)f(automaton)h(ar)o(e)330 4276 y(co-accessible;)24 +b Fu(efr)o(ee)995 4246 y Fi(s;a)1111 4276 y Fv(ensur)o(es)g(that)h(all) +g(states)f(in)h(the)g(r)o(esulting)g(automaton)g(ar)o(e)e +Fu(accessi-)330 4375 y(ble)p Fv(.)k(As)f(a)f(consequence,)i(the)f(size) +g(of)g(the)g(determinised)g(machine)g(is)h(in)g(general)e(smaller)330 +4475 y(if)j Fu(efr)o(ee)560 4445 y Fi(t;c)667 4475 y +Fv(is)g(employed,)g(because)f(states)h(which)h(wer)o(e)e(not)i +(co-accessible)e(\(in)h(the)g(input\))330 4575 y(ar)o(e)c(r)o(emoved)h +(\(this)h(is)g(ther)o(efor)o(e)e(an)h(additional)g(bene\002t)h(of)f +Fu(efr)o(ee)2493 4544 y Fi(t;c)2573 4575 y Fv(;)g(the)h(fact)e(that)i +Fu(efr)o(ee)3238 4544 y Fi(s;a)330 4674 y Fv(r)o(emoves)31 +b(accessible)f(states)h(has)g(no)g(ef)o(fect)f(on)h(the)g(size)g(of)g +(the)g(determinised)g(machine)330 4774 y(because)20 b(the)h(subset)g +(constr)o(uction)h(algorithm)g(alr)o(eady)d(ensur)o(es)h(accessibility) +h(anyway\).)479 4873 y(Secondly)-9 b(,)37 b(it)g(turns)g(out)g(that)g +(applying)g Fu(efr)o(ee)2038 4843 y Fi(t)2105 4873 y +Fv(in)g(combination)i(with)e(the)g(subset-)330 4973 y(constr)o(uction) +32 b(algorithm)g(generally)e(pr)o(oduces)f(smaller)i(automata)f(than)h +Fu(efr)o(ee)2979 4943 y Fi(s)3045 4973 y Fv(\(even)f(if)330 +5073 y(we)21 b(ignor)o(e)g(the)g(bene\002t)g(of)g(ensuring)g +(co-accessibility\).)g(An)f(example)h(is)g(pr)o(esented)f(in)h(\002g-) +330 5172 y(ur)o(e)f(2.)g(The)h(dif)o(fer)o(ences)d(can)j(be)f(quite)h +(signi\002cant.)h(This)f(is)g(illustrated)g(in)g(\002gur)o(e)f(3.)479 +5272 y(Below)g(we)f(will)h(write)f Fu(per)h(graph)1550 +5242 y Fi(X)1631 5272 y Fv(to)f(indicate)g(the)h(non-integrated)f +(algorithm)h(based)330 5372 y(on)h Fu(efr)o(ee)594 5341 +y Fi(X)658 5372 y Fv(.)p Black 3288 5944 a(5)p Black +eop +%%Page: 6 6 +6 5 bop Black 330 91 a Fo(van)20 b(Noor)o(d)1145 b(Epsilon)17 +b(Moves)h(in)h(Subset)g(Constr)o(uction)p Black Black +Black Black 1101 592 a + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.15997 add 2 div +2 copy 0.15997 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@0 11 {InitCnode +} NewNode end end + 1101 592 a @beginspecial @setspecial + tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.15997 +add 2 div 2 copy 0.15997 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore +end + + +@endspecial Fv(0)1121 565 y + tx@Dict begin tx@NodeDict begin {-28.44543 0.0 } false /N@start0 10 +{InitPnode } NewNode end end + 1121 565 a 1121 565 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@start0 /N@0 InitNC { yB yA sub xB xA sub Atan dup 0. add /AngleA +ED 0. sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave 0.8 +SLW 0 setgray 0 setlinecap stroke grestore grestore end + 1121 +565 a 2281 593 a + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.97992 0.05994 add 2 div +2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 2.6 add} false /N@1 11 {InitCnode +} NewNode end end + 2281 593 a @beginspecial @setspecial + tx@Dict begin STP newpath 2.6 SLW 0 setgray 5.0 2 div 6.97992 0.05994 +add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 2.6 SLW 0 setgray 0 setlinecap stroke grestore +gsave 1.0 SLW 1 setgray stroke grestore end + + +@endspecial Fv(1)1691 593 y + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.05994 add 2 div +2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@2 11 {InitCnode +} NewNode end end + 1691 593 a @beginspecial +@setspecial + tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.05994 +add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore +end + +@endspecial Fv(2)1121 565 y + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@0 /N@2 InitNC { yB yA sub xB xA sub Atan dup 15.0 add /AngleA +ED 15.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave +0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end + 1121 565 a 1121 +565 a + tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end + 1121 565 a 1121 565 a + tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 11.55904 4.71497 +0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add +exch } PutCoor PutBegin end + 1121 565 a 1073 583 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 11.55904 5.77951 +2.2775 } false /N@x 16 {InitRnode } NewNode end end + 1073 +583 a Ft(\017)i Fv(a)1121 565 y + tx@Dict begin PutEnd end + 1121 565 a 1121 565 a + tx@Dict begin PutEnd end + +1121 565 a 1121 565 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@1 /N@2 InitNC { yB yA sub xB xA sub Atan dup 15.0 add /AngleA +ED 15.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave +0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end + 1121 565 a 1121 565 a + tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end + 1121 565 +a 1121 565 a + tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 4.05904 4.30554 +0.0 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add exch +} PutCoor PutBegin end + 1121 565 a 1104 582 a + tx@Dict begin tx@NodeDict begin {4.30554 0.0 4.05904 2.02951 2.15277 +} false /N@x 16 {InitRnode } NewNode end end + 1104 582 a Ft(\017)1121 +565 y + tx@Dict begin PutEnd end + 1121 565 a 1121 565 a + tx@Dict begin PutEnd end + 1121 565 a 1121 565 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@2 /N@1 InitNC { yB yA sub xB xA sub Atan dup 15.0 add /AngleA +ED 15.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave +0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end + 1121 +565 a 1121 565 a + tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end + 1121 565 a 1121 565 a + tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 +0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add +exch } PutCoor PutBegin end + 1121 565 a 1100 +583 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } +false /N@x 16 {InitRnode } NewNode end end + 1100 583 a Fv(a)1121 565 y + tx@Dict begin PutEnd end + 1121 565 a 1121 565 +a + tx@Dict begin PutEnd end + 1121 565 a 1653 860 a Fv(\(1\))869 1073 y + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.15997 add 2 div +2 copy 0.15997 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@0 11 {InitCnode +} NewNode end end + 869 1073 +a @beginspecial @setspecial + tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.15997 +add 2 div 2 copy 0.15997 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore +end + +@endspecial Fv(0)890 1748 +y + tx@Dict begin tx@NodeDict begin {-28.44543 84.62517 } false /N@start0 +10 {InitPnode } NewNode end end + 890 1748 a 890 1748 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@start0 /N@0 InitNC { yB yA sub xB xA sub Atan dup 0. add /AngleA +ED 0. sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave 0.8 +SLW 0 setgray 0 setlinecap stroke grestore grestore end + 890 1748 a 1312 1777 a + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.97992 0.05994 add 2 div +2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 2.6 add} false /N@1 11 {InitCnode +} NewNode end end + 1312 1777 +a @beginspecial @setspecial + tx@Dict begin STP newpath 2.6 SLW 0 setgray 5.0 2 div 6.97992 0.05994 +add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 2.6 SLW 0 setgray 0 setlinecap stroke grestore +gsave 1.0 SLW 1 setgray stroke grestore end + +@endspecial Fv(1)1312 1251 +y + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.05994 add 2 div +2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@2 11 {InitCnode +} NewNode end end + 1312 1251 a @beginspecial @setspecial + tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.05994 +add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore +end + +@endspecial +Fv(2)890 1748 y + tx@Dict begin tx@NodeDict begin {24.88976 63.29109 } false /N@start2 +10 {InitPnode } NewNode end end + 890 1748 a 890 1748 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@start2 /N@2 InitNC { yB yA sub xB xA sub Atan dup 0. add /AngleA +ED 0. sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave 0.8 +SLW 0 setgray 0 setlinecap stroke grestore grestore end + 890 1748 a 890 +1748 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@0 /N@2 InitNC { yB yA sub xB xA sub Atan dup 15.0 add /AngleA +ED 15.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave +0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end + 890 1748 a 890 1748 a + tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end + 890 1748 a 890 1748 a + tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 +0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add +exch } PutCoor PutBegin end + 890 +1748 a 869 1767 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } +false /N@x 16 {InitRnode } NewNode end end + 869 1767 a Fv(a)890 1748 y + tx@Dict begin PutEnd end + 890 1748 +a 890 1748 a + tx@Dict begin PutEnd end + 890 1748 a 890 1748 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@2 /N@1 InitNC { yB yA sub xB xA sub Atan dup 15.0 add /AngleA +ED 15.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave +0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end + 890 1748 a 890 1748 +a + tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end + 890 1748 a 890 1748 a + tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 +0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add +exch } PutCoor PutBegin end + 890 1748 a 869 1767 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } +false /N@x 16 {InitRnode } NewNode end end + 869 1767 +a Fv(a)890 1748 y + tx@Dict begin PutEnd end + 890 1748 a 890 1748 a + tx@Dict begin PutEnd end + 890 1748 a 890 +1748 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { BeginArrow +1. 1. scale false 0.4 1.4 1.5 2. Arrow EndArrow moveto } def /ArrowB +{ } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 0 0 /N@2 +/N@2 InitNC { /AngleA -90. def /r 14.22636 def NCCircle x y r angleA +{ ArrowA CP } { add } ArcArrow angleB arc end } if end gsave 0.8 SLW +0 setgray 0 setlinecap stroke grestore grestore end + 890 1748 a 890 1748 a + tx@Dict begin tx@NodeDict begin /t 0.5 def tx@NodeDict /HPutPos known +{ HPutPos } { CP /Y ED /X ED /NAngle 0 def /NCLW 0 def } ifelse /Sin +NAngle sin def /Cos NAngle cos def /s 5.0 NCLW add def /l 2.5 def /r +2.5 def /h 1.43202 def /d 3.44292 def /flag false def HPutAdjust LPutCoor +end PutBegin end + 890 1748 a 869 1775 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } +false /N@x 16 {InitRnode } NewNode end end + 869 +1775 a Fv(a)890 1748 y + tx@Dict begin PutEnd end + 890 1748 a 1185 1925 a Fv(\(2\))2041 +1539 y + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.15997 add 2 div +2 copy 0.15997 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@0 11 {InitCnode +} NewNode end end + 2041 1539 a @beginspecial @setspecial + tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.15997 +add 2 div 2 copy 0.15997 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore +end + +@endspecial +Fv(0)2062 1748 y + tx@Dict begin tx@NodeDict begin {-22.76672 28.4584 } false /N@start0 +10 {InitPnode } NewNode end end + 2062 1748 a 2062 1748 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@start0 /N@0 InitNC { yB yA sub xB xA sub Atan dup 0. add /AngleA +ED 0. sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave 0.8 +SLW 0 setgray 0 setlinecap stroke grestore grestore end + 2062 1748 a +2514 1304 a + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.97992 0.05994 add 2 div +2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 2.6 add} false /N@1 11 {InitCnode +} NewNode end end + 2514 1304 a @beginspecial @setspecial + tx@Dict begin STP newpath 2.6 SLW 0 setgray 5.0 2 div 6.97992 0.05994 +add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 2.6 SLW 0 setgray 0 setlinecap stroke grestore +gsave 1.0 SLW 1 setgray stroke grestore end + +@endspecial +Fv(1)2514 1776 y + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.05994 add 2 div +2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@2 11 {InitCnode +} NewNode end end + 2514 1776 a @beginspecial @setspecial + tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.05994 +add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore +end + + +@endspecial Fv(2)2062 1748 y + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@0 /N@1 InitNC { yB yA sub xB xA sub Atan dup 20.0 add /AngleA +ED 20.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave +0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end + 2062 1748 a 2062 1748 a + tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end + +2062 1748 a 2062 1748 a + tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 +0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add +exch } PutCoor PutBegin end + 2062 1748 a 2041 1767 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } +false /N@x 16 {InitRnode } NewNode end end + 2041 +1767 a Fv(a)2062 1748 y + tx@Dict begin PutEnd end + 2062 1748 a 2062 1748 a + tx@Dict begin PutEnd end + 2062 +1748 a 2062 1748 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@0 /N@2 InitNC { yB yA sub xB xA sub Atan dup 20.0 add /AngleA +ED 20.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave +0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end + 2062 1748 a 2062 1748 a + tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end + 2062 1748 +a 2062 1748 a + tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 +0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add +exch } PutCoor PutBegin end + 2062 1748 a 2041 1767 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } +false /N@x 16 {InitRnode } NewNode end end + 2041 1767 a Fv(a)2062 +1748 y + tx@Dict begin PutEnd end + 2062 1748 a 2062 1748 a + tx@Dict begin PutEnd end + 2062 1748 a 2062 1748 +a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { BeginArrow +1. 1. scale false 0.4 1.4 1.5 2. Arrow EndArrow moveto } def /ArrowB +{ } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 0 0 /N@1 +/N@1 InitNC { /AngleA -90. def /r 14.22636 def NCCircle x y r angleA +{ ArrowA CP } { add } ArcArrow angleB arc end } if end gsave 0.8 SLW +0 setgray 0 setlinecap stroke grestore grestore end + 2062 1748 a 2062 1748 a + tx@Dict begin tx@NodeDict begin /t 0.5 def tx@NodeDict /HPutPos known +{ HPutPos } { CP /Y ED /X ED /NAngle 0 def /NCLW 0 def } ifelse /Sin +NAngle sin def /Cos NAngle cos def /s 5.0 NCLW add def /l 2.5 def /r +2.5 def /h 1.43202 def /d 3.44292 def /flag false def HPutAdjust LPutCoor +end PutBegin end + 2062 1748 a 2041 1775 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } +false /N@x 16 {InitRnode } NewNode end end + 2041 +1775 a Fv(a)2062 1748 y + tx@Dict begin PutEnd end + 2062 1748 a 2062 1748 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@2 /N@1 InitNC { yB yA sub xB xA sub Atan dup 20.0 add /AngleA +ED 20.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave +0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end + 2062 +1748 a 2062 1748 a + tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end + 2062 1748 a 2062 1748 a + tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 +0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add +exch } PutCoor PutBegin end + 2062 1748 +a 2041 1767 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } +false /N@x 16 {InitRnode } NewNode end end + 2041 1767 a Fv(a)2062 1748 y + tx@Dict begin PutEnd end + 2062 1748 +a 2062 1748 a + tx@Dict begin PutEnd end + 2062 1748 a 2298 1890 a Fv(\(3\))653 2209 +y + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.15997 add 2 div +2 copy 0.15997 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@0 11 {InitCnode +} NewNode end end + 653 2209 a @beginspecial @setspecial + tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.15997 +add 2 div 2 copy 0.15997 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore +end + +@endspecial Fv(0)674 +2182 y + tx@Dict begin tx@NodeDict begin {-22.76672 0.0 } false /N@start0 10 +{InitPnode } NewNode end end + 674 2182 a 674 2182 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@start0 /N@0 InitNC { yB yA sub xB xA sub Atan dup 0. add /AngleA +ED 0. sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave 0.8 +SLW 0 setgray 0 setlinecap stroke grestore grestore end + 674 2182 a 1126 2210 a + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.97992 0.05994 add 2 div +2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 2.6 add} false /N@1 11 {InitCnode +} NewNode end end + 1126 +2210 a @beginspecial @setspecial + tx@Dict begin STP newpath 2.6 SLW 0 setgray 5.0 2 div 6.97992 0.05994 +add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 2.6 SLW 0 setgray 0 setlinecap stroke grestore +gsave 1.0 SLW 1 setgray stroke grestore end + +@endspecial Fv(1)674 +2182 y + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@0 /N@1 InitNC { yB yA sub xB xA sub Atan dup 20.0 add /AngleA +ED 20.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave +0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end + 674 2182 a 674 2182 a + tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end + 674 2182 a 674 2182 a + tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 +0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add +exch } PutCoor PutBegin end + 674 +2182 a 653 2200 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } +false /N@x 16 {InitRnode } NewNode end end + 653 2200 a Fv(a)674 2182 y + tx@Dict begin PutEnd end + 674 2182 +a 674 2182 a + tx@Dict begin PutEnd end + 674 2182 a 674 2182 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { BeginArrow +1. 1. scale false 0.4 1.4 1.5 2. Arrow EndArrow moveto } def /ArrowB +{ } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 0 0 /N@1 +/N@1 InitNC { /AngleA -90. def /r 14.22636 def NCCircle x y r angleA +{ ArrowA CP } { add } ArcArrow angleB arc end } if end gsave 0.8 SLW +0 setgray 0 setlinecap stroke grestore grestore end + 674 2182 a 674 2182 +a + tx@Dict begin tx@NodeDict begin /t 0.5 def tx@NodeDict /HPutPos known +{ HPutPos } { CP /Y ED /X ED /NAngle 0 def /NCLW 0 def } ifelse /Sin +NAngle sin def /Cos NAngle cos def /s 5.0 NCLW add def /l 2.5 def /r +2.5 def /h 1.43202 def /d 3.44292 def /flag false def HPutAdjust LPutCoor +end PutBegin end + 674 2182 a 653 2209 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } +false /N@x 16 {InitRnode } NewNode end end + 653 2209 a Fv(a)674 2182 y + tx@Dict begin PutEnd end + 674 +2182 a 910 2323 a Fv(\(4\))1855 2209 y + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.15997 add 2 div +2 copy 0.15997 sub 4 2 roll Pyth 3.0 add 0.8 add} false /N@0 11 {InitCnode +} NewNode end end + 1855 2209 a @beginspecial +@setspecial + tx@Dict begin STP newpath 0.8 SLW 0 setgray 5.0 2 div 6.8299 0.15997 +add 2 div 2 copy 0.15997 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 0.8 SLW 0 setgray 0 setlinecap stroke grestore +end + +@endspecial Fv(0)1876 2182 y + tx@Dict begin tx@NodeDict begin {-22.76672 0.0 } false /N@start0 10 +{InitPnode } NewNode end end + 1876 2182 a +1876 2182 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@start0 /N@0 InitNC { yB yA sub xB xA sub Atan dup 0. add /AngleA +ED 0. sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave 0.8 +SLW 0 setgray 0 setlinecap stroke grestore grestore end + 1876 2182 a 2328 2210 a + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.97992 0.05994 add 2 div +2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 2.6 add} false /N@1 11 {InitCnode +} NewNode end end + 2328 2210 a @beginspecial +@setspecial + tx@Dict begin STP newpath 2.6 SLW 0 setgray 5.0 2 div 6.97992 0.05994 +add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 2.6 SLW 0 setgray 0 setlinecap stroke grestore +gsave 1.0 SLW 1 setgray stroke grestore end + +@endspecial Fv(1)2800 2210 y + tx@Dict begin tx@NodeDict begin {5.0 2 div 6.8299 0.05994 add 2 div +2 copy 0.05994 sub 4 2 roll Pyth 3.0 add 2.6 add} false /N@2 11 {InitCnode +} NewNode end end + 2800 2210 a +@beginspecial @setspecial + tx@Dict begin STP newpath 2.6 SLW 0 setgray 5.0 2 div 6.8299 0.05994 +add 2 div 2 copy 0.05994 sub 4 2 roll Pyth 3.0 add CLW 2 div add 0 +360 arc closepath gsave 2.6 SLW 0 setgray 0 setlinecap stroke grestore +gsave 1.0 SLW 1 setgray stroke grestore end + +@endspecial Fv(2)1876 2182 +y + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@0 /N@1 InitNC { yB yA sub xB xA sub Atan dup 20.0 add /AngleA +ED 20.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave +0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end + 1876 2182 a 1876 2182 a + tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end + 1876 2182 a 1876 2182 a + tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 +0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add +exch } PutCoor PutBegin end + 1876 +2182 a 1855 2200 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } +false /N@x 16 {InitRnode } NewNode end end + 1855 2200 a Fv(a)1876 2182 y + tx@Dict begin PutEnd end + 1876 +2182 a 1876 2182 a + tx@Dict begin PutEnd end + 1876 2182 a 1876 2182 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { moveto +} def /ArrowB { BeginArrow 1. 1. scale false 0.4 1.4 1.5 2. Arrow + EndArrow } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 +0 0 /N@1 /N@2 InitNC { yB yA sub xB xA sub Atan dup 20.0 add /AngleA +ED 20.0 sub 180 add /AngleB ED 0.67 0.67 NCCurve } if end gsave +0.8 SLW 0 setgray 0 setlinecap stroke grestore grestore end + 1876 2182 +a 1876 2182 a + tx@Dict begin tx@NodeDict begin /t .5 def LPut end PutBegin end + 1876 2182 a 1876 2182 a + tx@Dict begin { 5.0 tx@Dict /NCLW known { NCLW add } if 5.0 4.71497 +0.15997 NAngle 90 add Uput exch pop add a PtoC h1 add exch w1 add +exch } PutCoor PutBegin end + 1876 2182 a 1855 +2200 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } +false /N@x 16 {InitRnode } NewNode end end + 1855 2200 a Fv(a)1876 2182 y + tx@Dict begin PutEnd end + 1876 2182 a 1876 +2182 a + tx@Dict begin PutEnd end + 1876 2182 a 1876 2182 a + tx@Dict begin gsave STV newpath 0.8 SLW 0 setgray /ArrowA { BeginArrow +1. 1. scale false 0.4 1.4 1.5 2. Arrow EndArrow moveto } def /ArrowB +{ } def /NCLW CLW def tx@NodeDict begin 0.0 0.0 neg 0.0 0.0 0 0 /N@2 +/N@2 InitNC { /AngleA -90. def /r 14.22636 def NCCircle x y r angleA +{ ArrowA CP } { add } ArcArrow angleB arc end } if end gsave 0.8 SLW +0 setgray 0 setlinecap stroke grestore grestore end + 1876 2182 a 1876 2182 +a + tx@Dict begin tx@NodeDict begin /t 0.5 def tx@NodeDict /HPutPos known +{ HPutPos } { CP /Y ED /X ED /NAngle 0 def /NCLW 0 def } ifelse /Sin +NAngle sin def /Cos NAngle cos def /s 5.0 NCLW add def /l 2.5 def /r +2.5 def /h 1.43202 def /d 3.44292 def /flag false def HPutAdjust LPutCoor +end PutBegin end + 1876 2182 a 1855 2209 a + tx@Dict begin tx@NodeDict begin {4.71497 0.15997 5.0 2.5 2.2775 } +false /N@x 16 {InitRnode } NewNode end end + 1855 2209 a Fv(a)1876 2182 +y + tx@Dict begin PutEnd end + 1876 2182 a 2348 2371 a Fv(\(5\))330 2584 y Fd(Figure)d(2)330 +2667 y Fo(Illustration)h(of)f(the)h(dif)o(fer)o(ence)e(in)i(size)f +(between)i(two)f(variants)g(of)g 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