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    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+
−
    dup (P) 0 get /BoldPentagon put+
−
% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga+
−
    dup (l) 0 get /SolidDiamond put+
−
    dup (d) 0 get /Diamond put+
−
        (D) 0 get /BoldDiamond put+
−
% DG/SR modification end+
−
  /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+
−
% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga+
−
    /SolidDiamond  1008   def+
−
    /Diamond       1008   def+
−
    /BoldDiamond   1008   def+
−
% DG/SR modification end+
−
    /.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+
−
% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga+
−
    /Diamond       { -428.5 -742.5 428.5 742.5 } def+
−
    /BoldDiamond   /Diamond load def+
−
    /SolidDiamond  /Diamond load def+
−
% DG/SR modification end+
−
    /.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+
−
% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga+
−
    /DiamondPath   { 0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto+
−
                     428.5 0 lineto closepath } def+
−
    /SolidDiamond  { DiamondPath fill } def+
−
    /Diamond       { DiamondPath .85 .85 scale DiamondPath eofill } def+
−
    /BoldDiamond   { DiamondPath .7 .7 scale DiamondPath eofill } def+
−
% DG/SR modification end+
−
    /.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 0 0+
−
%!+
−
% 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 }+
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%!+
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% PostScript header file pst-text.pro+
−
% Version 97, 94/04/20; patched MV 10-09-99 00:36+
−
% For distribution, see pstricks.tex.+
−
+
−
/tx@TextPathDict 40 dict def+
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tx@TextPathDict begin+
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+
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% Syntax:  <dist> PathPosition -+
−
% Function: Searches for position of currentpath distance <dist> from+
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%           beginning. Sets (X,Y)=position, and Angle=tangent.+
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+
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+
−
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−
{ /newy exch def /newx exch def+
−
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−
} def+
−
+
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/linetoproc { continue { @linetoproc } { pop pop } ifelse } def+
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+
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{+
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%   currentpoint+
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% File 8r.enc  TeX Base 1 Encoding  Revision 2.0  2002-10-30+
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%+
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% @@psencodingfile@{+
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%   author    = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry,+
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%                W. Schmidt, P. Lehman",+
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%   version   = "2.0",+
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%   date      = "30 October 2002",+
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%   filename  = "8r.enc",+
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%                PSNFSS bundle, version 9"+
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% @}+
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% +
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% The idea is to have all the characters normally included in Type 1 fonts+
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% +
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% Character code assignments were made as follows:+
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% +
−
% (1) the Windows ANSI characters are almost all in their Windows ANSI+
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% positions, because some Windows users cannot easily reencode the+
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% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen+
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% (173). quotesingle and grave are moved just because it's such an+
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% +
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% (2) Remaining characters are assigned arbitrarily to the lower part+
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% +
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% hopes that other PostScript fonts, perhaps created for public+
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% +
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%+
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% (5) /Euro was assigned to 128, as in Windows ANSI+
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%+
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% (6) Missing characters from MacRoman encoding incorporated as follows:+
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%+
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%     PostScript      MacRoman        TeXBase1+
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%     --------------  --------------  --------------+
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−
%     /infinity       176             0x17+
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%     /greaterequal   179             0x19+
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%     /partialdiff    182             0x1A+
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%     /summation      183             0x1B+
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%     /product        184             0x1C+
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%     /pi             185             0x1D+
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%     /integral       186             0x81+
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%+
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% 0x10+
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% 0x20+
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% 0x30+
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−
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% 0x50+
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/star+
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+
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+
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% 0x60+
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/weierstrass+
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/vector+
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/tie+
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%!PS-AdobeFont-1.1: CMMIB10 1.100+
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%%CreationDate: 1996 Jul 23 07:54:00+
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.+
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11 dict begin+
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/FontInfo 7 dict dup begin+
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/version (1.100) readonly def+
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/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def+
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/FullName (CMMIB10) readonly def+
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/FamilyName (Computer Modern) readonly def+
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/Weight (Bold) readonly def+
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/ItalicAngle -14.04 def+
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/isFixedPitch false def+
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end readonly def+
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/FontName /CMMIB10 def+
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/PaintType 0 def+
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/FontType 1 def+
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/FontMatrix [0.001 0 0 0.001 0 0] readonly def+
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/Encoding 256 array+
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0 1 255 {1 index exch /.notdef put} for+
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dup 11 /alpha put+
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dup 19 /iota put+
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dup 21 /lambda put+
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dup 25 /pi put+
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dup 58 /period put+
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dup 59 /comma put+
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dup 61 /slash put+
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dup 65 /A put+
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dup 70 /F put+
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dup 76 /L put+
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dup 77 /M put+
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dup 78 /N put+
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dup 80 /P put+
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dup 82 /R put+
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dup 83 /S put+
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dup 86 /V put+
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dup 97 /a put+
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dup 120 /x put+
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dup 121 /y put+
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readonly def+
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currentdict end+
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showpage+
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% stop using temporary dictionary+
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end+
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% restore original state+
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origstate restore+
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+
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%%Trailer+
−
+
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%%EndDocument+
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showpage+
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+
−
% stop using temporary dictionary+
−
end+
−
+
−
% restore original state+
−
origstate restore+
−
+
−
%%Trailer+
−
+
−
%%EndDocument+
−
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Fy(][)p Fw(x)g Fy(:=)g Fw(N)e Fy([)p Fw(y)34 b Fy(:=)26+
−
b Fw(L)p Fy(]])p Black Fo(\224)p Blue 4681 3693 a(assume)p+
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Black 54 w(f1:)65 b(\224)p OliveGreen Fw(z)9 b Fy(#\()p+
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Fw(L;)39 b(N)10 b(;)40 b(x;)g(y)8 b Fy(\))p Black Fo(\224)p+
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Blue 4681 3899 a(from)p Black 53 w(f1)53 b(fresh)p 5822+
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3899 V 64 w(fact1)p Blue 52 w(have)p Black 53 w(f2:)65+
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b(\224)p OliveGreen Fw(z)9 b Fy(#)p Fw(N)24 b Fy([)p+
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Fw(y)73 b Fy(:=)66 b Fw(L)p Fy(])p Black Fo(\224)p Blue+
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52 w(by)p Black 53 w(simp)p Blue 4681 4106 a(show)p Black+
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55 w(\224)p OliveGreen Fy(\([)p Fw(z)9 b Fy(])p Fw(:M)5853+
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4137 y Fb(1)5957 4106 y Fy(\)[)p Fw(x)-10 b Fy(:=)30+
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b Fw(N)24 b Fy(][)p Fw(y)n Fy(:=)30 b Fw(L)p Fy(])g(=)g(\([)p+
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Fw(z)9 b Fy(])p Fw(:M)8392 4137 y Fb(1)8495 4106 y Fy(\)[)p+
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Fw(y)n Fy(:=)30 b Fw(L)p Fy(][)p Fw(x)-10 b Fy(:=)30+
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b Fw(N)24 b Fy([)p Fw(y)n Fy(:=)30 b Fw(L)p Fy(]])p Black+
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Fo(\224)4564 4321 y(\(is)53 b(\224)p OliveGreen Fy(?)-40+
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b Fw(LS)78 b Fy(=?)-40 b Fw(R)q(S)p Black 11 w Fo(\224\))p+
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Blue 4681 4505 a(proof)p Black 53 w(\226)p Blue 4858+
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4709 a(have)p Black 52 w(\224)p OliveGreen Fy(?)g Fw(LS)78+
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b Fy(][)p Fw(y)74 b Fy(:=)65 b Fw(L)p Fy(]\))p Black+
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53 w(\224)p OliveGreen Fw(:)39 b(:)h(:)66 b Fy(=)g([)p+
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4916 y Fy([)p Fw(y)34 b Fy(:=)26 b Fw(L)p Fy(][)p Fw(x)g+
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Fy(:=)g Fw(N)e Fy([)p Fw(y)34 b Fy(:=)26 b Fw(L)p Fy(]]\))p+
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b(have)p Black 53 w(\224)p OliveGreen Fw(:)39 b(:)h(:)26+
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Black 53 w(simp)p Blue 4858 5304 a(\002nally)e(show)p+
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Black 53 w(\224)p OliveGreen Fy(?)-40 b Fw(LS)78 b Fy(=)66+
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5659 a(next)p Black Blue 4681 5848 a(case)p Black 53+
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5879 y Fb(2)6398 5848 y Fo(\))p Orchid 53 w(\(*)52 b(case)h(3:)65+
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b(applications)52 b(*\))p Black Blue 4681 6041 a(thus)p+
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Black 53 w(\224)p OliveGreen Fy(?)p Fw(case)p Black Fo(\224)p+
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Blue 53 w(by)p Black 52 w(simp)p Blue 4564 6226 a(qed)p+
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9379 6307 a Fz(Munich,)25 b(24.)g(May)i(2005)d(\226)i(p.17)f(\(1/1\))p+
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0 TeXcolorgray 4360 6416 a+
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 tx@Dict begin -90 Rot  end+
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 4360 6416 a eop end+
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%%Trailer+
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+
−
userdict /end-hook known{end-hook}if+
−
%%EOF+
−