%!PS-Adobe-2.0 %%Creator: dvips(k) 5.98 Copyright 2009 Radical Eye Software %%Title: arXiv:1109.3121v1 [hep-ph] 14 Sep 2011 %%CreationDate: Fri Dec 30 07:39:07 2016 %%Pages: 9 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentPaperSizes: Letter %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -R2 -P pk -K1 -z qm2011_arleo_arxiv.dvi -o %DVIPSParameters: dpi=600, compressed, comments removed %DVIPSSource: TeX output 2016.12.30:0739 %%BeginProcSet: texc.pro 0 0 /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch 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def /L /lineto load def /T /translate load def /TMatrix { } def /RAngle { 0 } def /Sqrt { dup 0 lt { pop 0 } { sqrt } ifelse } def % return 0 for negative arguments /Atan { /atan load stopped { pop pop 0 } if } def % return 0 if atan not known /ATAN1 {neg -1 atan 180 sub } def % atan(x) (only one parameter) /Div { dup 0 eq { pop } { div } ifelse } def % control the division /tan { dup cos abs 1.e-10 lt { pop 1.e10 } % return 1.e10 as infinit { dup sin exch cos div } ifelse % default sin/cos } def /Tan { dup sin exch cos Div } def % sin(x)/cos(x) x in degrees /Acos {dup dup mul neg 1 add dup 0 lt { % arc cos, returns 0 when negative root pop pop 0 }{ sqrt exch atan} ifelse } def /NET { neg exch neg exch T } def % change coordinate system to the negative one /Pyth { dup mul exch dup mul add sqrt } def % Pythagoras, expects 2 parameter /Pyth2 { % Pythagoras, xA yA xB yB 3 -1 roll % xA xB yB yA sub % xA xB yB-yA 3 1 roll % yB-yA xA xB sub % yB-yA xA-xB Pyth } def /PtoC { 2 copy cos mul 3 1 roll sin mul } def % Polar to Cartesian /Rand { rand 4294967295 div } def % a real random number %----------------- hv added 20050516 --------------- /PiDiv2 1.57079632680 def /Pi 3.14159265359 def /TwoPi 6.28318530718 def /Euler 2.71828182846 def %/e Euler bind def % /RadtoDeg { 180 mul Pi div } bind def % convert from radian to degrees /DegtoRad { Pi mul 180 div } bind def % viceversa %----------------- hv end--------------------------- /PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def } def % /PathLength { flattenpath /z 0 def { /y1 ED /x1 ED /y2 y1 def /x2 x1 def } { /y ED /x ED PathLength@ } {} { /y y2 def /x x2 def PathLength@ } /pathforall load stopped { pop pop pop pop } if z } def % /STP { .996264 dup scale } def % BP/PT scaling /STV { SDict begin normalscale end STP } def % % /DashLine { dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def PathLength } ifelse /b ED % pattern should fit evenly in b dup /X ED % pattern array 0 get /y ED % length of first black segment /z 0 X {add} forall def % length of the full pattern %% Computation of the scaling factor as described by van Zandt: b a .5 sub 2 mul y mul sub z Div round z mul a .5 sub 2 mul y mul add b exch Div %%%% scaling factor on stack. /z ED %% now, z is the scaling factor false % for the length test below X { z mul } forall X astore %% modification TN 04-08-07 %%% Checking whether at least one dash in X has positive length: {0 gt or} forall { X 1 a sub y mul } { [ 1 0 ] 0 } ifelse setdash stroke } def % /DotLine { /b PathLength def /a ED /z ED /y CLW def /z y z add def a 0 gt { /b b a div def }{ a 0 eq { /b b y sub def }{ a -3 eq { /b b y add def } if } ifelse } ifelse [ 0 b b z Div round Div dup 0 le { pop 1 } if ] a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse setdash 1 setlinecap stroke } def % /SymbolLine { % on stack [ x y x y ... counttomark % number of elements 2 div cvi /n ED % n pairs /YA ED /XA ED % the start point n 1 sub { /YB ED /XB ED /XLength XB XA sub def /YLength YB YA sub def /PAngle YLength XLength Atan def /XYLength XLength YLength Pyth def /nSym XYLength SymStep div cvi def /Shift Symbol stringwidth pop 2 div def /deltaX XLength nSym div def /deltaY YLength nSym div def XA Shift sub YA Shift sub moveto nSym { gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if Symbol show grestore deltaX deltaY rmoveto } repeat /YA YB def /XA XB def } repeat XA Shift sub YA Shift sub moveto gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if Symbol show grestore pop % delete the mark symbol } def % /LineFill { % hv ------------ patch 7 ------------- gsave abs /hatchWidthInc ED abs /hatchSepInc ED abs CLW add /a ED a 0 dtransform round exch round exch 2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25 itransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a Div cvi /x1 ED /y2 y2 y1 sub def clip newpath 2 setlinecap systemdict /setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1 a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add hatchWidthInc 0 gt { CLW add } if def hatchSepInc 0 gt hatchWidthInc 0 gt or { /a a hatchSepInc add def CLW hatchWidthInc add SLW } if } repeat grestore pop pop } def % /PenroseFill {% on stack: scaling factor dup dup scale 1 exch div round /penroseFactor ED a 0 dtransform round exch round exch 2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25 itransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a Div cvi /x1 ED /y2 y2 y1 sub def clip newpath systemdict /setstrokeadjust known { true setstrokeadjust } if /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul} { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25 mul j l + S rmoveto}F i L j L stroke }F}F}F}F grestore pop pop } def % /BeginArrow { ADict begin % hold it local, for end see EndArrow /@mtrx CM def gsave 2 copy T 2 index sub neg exch 3 index sub exch Atan rotate newpath } def % /EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict % /Arrow { CLW mul add dup 2 div /w ED mul dup /h ED mul /a ED { 0 h T 1 -1 scale } if w neg h moveto 0 0 L w h L w neg a neg rlineto gsave fill grestore } def % /ArrowD { % the sides are drawn as curves (hv 20071211) CLW mul add dup 2 div /w ED mul dup /h ED mul /Inset ED { 0 h T 1 -1 scale } if % changes the direction % we use y=w/h^2 * x^2 as equation for the control points % for the coordinates the arrow is seen from top to bottom % the bottom (tip) is (0;0) w neg h moveto % lower left of > w 9 div 4 mul neg h 3 div 2 mul w 9 div neg h 3 div 0 0 curveto % tip of > w 9 div h 3 div w 9 div 4 mul h 3 div 2 mul w h curveto % upper left of > w neg Inset neg rlineto % move to x=0 and inset gsave fill grestore } def % /Tbar { CLW mul add /z ED z -2 div CLW 2 div moveto z 0 rlineto stroke 0 CLW moveto } def % /Bracket { CLW mul add dup CLW sub 2 div /x ED mul CLW add /y ED /z CLW 2 div def x neg y moveto x neg CLW 2 div L x CLW 2 div L x y 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 { % DS is the dot size { /z DS def } { /z 0 def } ifelse % outer or inner dimen /b ED % the color definition 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 { % holds the coordinates and on top of stack the showpoints boolean /showpoints ED counttomark 2 div dup cvi /n ED % n 2 div on stack n eq not { exch pop } if % even numbers of points? delete one showpoints { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse % delete the mark symbol } 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 % /LineToYAxis { NArray % all x-y pairs on stack n { 2 copy moveto % go to current point 0 exch Lineto % line to y-axis pop % delete old x-value } repeat } def % /LineToXAxis{ NArray % all x-y pairs on stack n 0 eq not { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def CP 2 copy moveto pop 0 Lineto n { 2 copy moveto pop 0 Lineto } repeat CP 4 2 roll ArrowB 2 copy moveto pop 0 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 % /SymbolPolygon { % on stack [ x y x y ... counttomark % number of elements 2 add /m ED 2 copy m 2 roll % copy last two m 2 div cvi /n ED % n pairs /YA ED /XA ED % the start point n 1 sub { /YB ED /XB ED /XLength XB XA sub def /YLength YB YA sub def /PAngle YLength XLength Atan def /XYLength XLength YLength Pyth def /nSym XYLength SymStep Div cvi def /Shift Symbol stringwidth pop 2 Div def /deltaX XLength nSym Div def /deltaY YLength nSym Div def XA Shift sub YA Shift sub moveto nSym { gsave rotateSymbol { PAngle 180 sub CorrAngle sub rotate } if Symbol show grestore deltaX deltaY rmoveto } repeat % XB Shift sub YB Shift sub moveto Symbol show /YA YB def /XA XB def } repeat pop % delete the mark symbol } 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 % /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 % /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 % /CurvePath { flattenpath /z 0 def /z0 0 def { /y1 ED /x1 ED /y2 y1 def /x2 x1 def x1 Shift sub y1 Shift sub moveto gsave startAngle rotate Symbol show grestore /z0 z def } { /y ED /x ED PathLength@ z z0 sub SymStep ge { x Shift sub y Shift sub moveto gsave rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if Symbol show grestore /z0 z def } if /yOld y def /xOld x def } {} { /y y2 def /x x2 def PathLength@ x Shift sub y Shift sub moveto gsave rotateSymbol { y yOld sub x xOld sub Atan 180 sub CorrAngle sub rotate } if Symbol show grestore } pathforall z } def % /OpenSymbolCurve { OpenCurve 0.1 setflat /Shift Symbol stringwidth pop 2 div def CurvePath } 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 % /AltOpenSymbolCurve { AltCurve 0.1 setflat /Shift Symbol stringwidth pop 2 div def CurvePath } 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 % /ClosedSymbolCurve { ClosedCurve 0.1 setflat /Shift Symbol stringwidth pop 2 div def CurvePath } 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 % /OpenSymbolBezier { OpenBezier 0.1 setflat /Shift Symbol stringwidth pop 2 div def CurvePath } 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 % /ClosedSymbolBezier { /f ED % save showpoints value 2 copy /yEnd ED /xEnd ED counttomark -2 roll 2 copy /yStart ED /xStart ED counttomark 2 roll f ClosedBezier 0.1 setflat /Shift Symbol stringwidth pop 2 div def CurvePath [ xEnd yEnd xStart yStart SymbolLine } 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 ED /x0 ED /y1 ED /x1 ED /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 % /Parab1 { % 1 end | 0 SP /ySP ED /xSP ED /y1 ED /x1 ED /dx xSP x1 sub 3 div def /dy ySP y1 sub 3 div def newpath x1 y1 moveto xSP y1 lineto xSP ySP lineto x1 ySP lineto closepath clip currentpoint newpath moveto xSP dx sub ySP dy add x1 y1 ArrowA xSP dx add ySP dy add xSP 2 mul x1 sub y1 ArrowB curveto /Points [ x1 y1 xSP ySP xSP 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 % /ArcAdjust { %%%% Vincent Guirardel % given a target length (targetLength) and an initial angle (angle0) [in the stack], % let M(angle0)=(rx*cos(angle0),ry*sin(angle0))=(x0,y0). % This computes an angle t such that (x0,y0) is at distance % targetLength from the point M(t)=(rx*cos(t),ry*sin(t)). % NOTE: this an absolute angle, it does not have to be added or substracted to angle0 % contrary to TvZ's code. % To achieve, this, one iterates the following process: start with some angle t, % compute the point M' at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]. % Now take t' (= new angle) so that (0,0) M(t') and M' are aligned. % % Another difference with TvZ's code is that we need d (=add/sub) to be defined. % the value of d = add/sub is used to know on which side we have to move. % It is only used in the initialisation of the angle before the iteration. % % Input stack: 1: target length 2: initial angle % variables used : rx, ry, d (=add/sub) % /targetLength ED /angle0 ED /x0 rx angle0 cos mul def /y0 ry angle0 sin mul def % we are looking for an angle t such that (x0,y0) is at distance targetLength % from the point M(t)=(rx*cos(t),ry*sin(t))) %initialisation of angle (using 1st order approx = TvZ's code) targetLength 57.2958 mul angle0 sin rx mul dup mul angle0 cos ry mul dup mul add sqrt div % if initialisation angle is two large (more than 90 degrees) set it to 90 degrees % (if the ellipse is very curved at the point where we draw the arrow, % % the value can be much more than 360 degrees !) % this should avoid going on the wrong side (more than 180 degrees) or go near % a bad attractive point (at 180 degrees) dup 90 ge { pop 90 } if angle0 exch d % add or sub % maximum number of times to iterate the iterative procedure: % iterative procedure: takes an angle t on top of stack, computes a % better angle (and put it on top of stack) 30 { dup % compute distance D between (x0,y0) and M(t) dup cos rx mul x0 sub dup mul exch sin ry mul y0 sub dup mul add sqrt % if D almost equals targetLength, we stop dup targetLength sub abs 1e-5 le { pop exit } if % stack now contains D t % compute the point M(t') at distance targetLength of (x0,y0) on the semi-line [(x0,y0) M(t)]: % M(t')= ( (x(t)-x0)*targetLength/d+x0 , (y(t)-y0)*targetLength/d+y0 ) exch dup cos rx mul x0 sub exch sin ry mul y0 sub % stack contains: y(t)-y0, x(t)-x0, d 2 index Div targetLength mul y0 add ry Div exch 2 index Div targetLength mul x0 add rx Div % stack contains x(t')/rx , y(t')/ry , d % now compute t', and remove D from stack atan exch pop } repeat % we don't look at what happened... in particular, if targetLength is greater % than the diameter of the ellipse... % the final angle will be around /angle0 + 180. maybe we should treat this pathological case... % after iteration, stack contains an angle t such that M(t) is the tail of the arrow % to give back the result as a an angle relative to angle0 we could add the following line: % angle0 sub 0 exch d % % begin bug fix 2006-01-11 % we want to adjust the new angle t' by a multiple of 360 so that | t'-angle0 | <= 180 %(we don't want to make the ellipse turn more or less than it should)... dup angle0 sub dup abs 180 gt { 180 add 360 div floor 360 mul sub } { pop } ifelse % end bug fix } def % /EllipticArcArrow { /d ED % is add or sub /b ED % arrow procedure /a1 ED % angle gsave newpath 0 -1000 moveto clip % Set clippath far from arrow. newpath 0 1 0 0 b % Draw arrow to determine length. grestore % Length of arrow is on top of stack. Next 3 numbers are junk. % a1 exch ArcAdjust % Angular position of base of arrow. /a2 ED pop pop pop a2 cos rx mul xOrig add % hv 2007-08-29 x->xOrig a2 sin ry mul yOrig add % hv 2007-08-29 y->yOrig a1 cos rx mul xOrig add % a1 sin ry mul yOrig add % % Now arrow tip coor and base coor are on stack. b pop pop pop pop % Draw arrow, and discard coordinates. a2 CLW 8 div % change value of d (test it by looking if `` 1 1 d '' gives 2 or not ) 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse ArcAdjust % resets original value of d 1 1 d 2 eq { /d { sub } def } { /d { add } def } ifelse % Adjust angle to give overlap. } 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 % /bubblesort { 4 dict begin /a exch def /n a length 1 sub def n 0 gt { % at this point only the n+1 items in the bottom of a remain to % the sorted largest item in that blocks is to be moved up into % position n n { 0 1 n 1 sub { /i exch def a i get a i 1 add get gt { % if a[i] > a[i+1] swap a[i] and a[i+1] a i 1 add a i get a i a i 1 add get % set new a[i] = old a[i+1] put % set new a[i+1] = old a[i] put } if } for /n n 1 sub def } repeat } if a end } def % % end %-----------------------------------------------------------------------------% % % END pstricks.pro %%EndProcSet %%BeginProcSet: pst-algparser.pro 0 0 % $Id: pst-algparser.pro 90 2009-01-30 10:58:51Z herbert $ % /AlgParser { tx@AlgToPs begin AlgToPs end } def % Dominique Rodriguez % /tx@CoreAnalyzerDict 100 dict def tx@CoreAnalyzerDict begin % % PS ANALYZER FOR ALGEBRAIC EXPRESSION V1.12 % E->T|E+T % T->FS|T*FS % FS -> F | +FS | -FS % F->P|F^SF % P->(E)|literal % literal->number|var|var[E]|func(params) % params->E|E,param % number->TOBEFINISHED % % % % /AnalyzeCond { AnalyzeExpr ReadCondOp AnalyzeExpr EvalCondOp } def % /AnalyzeListOfE { /NotFirst false def { NextNonBlankChar pop AnalyzeExpr NotFirst { EvalListOfExpr } { /NotFirst true def } ifelse dup Strlen eq { exit } if NextNonBlankChar dup 44 ne 1 index 124 ne and { dup 41 ne { PROBLEMCONTACTBILLOU } { pop exit } ifelse } if pop 1 add } loop AnalyzeListOfEPostHook } def /AnalyzeExpr { AnalyzePreHook AnalyzeTerm IsEndingExpr { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } { { RollOp 1 add NextNonBlankChar pop AnalyzeTerm PreEvalHook EvalAddSub IsEndingExpr { pop exit } if } loop } ifelse AnalyzePostHook } def /AnalyzeTerm { AnalyzePreHook AnalyzeSignedFactor IsEndingTerm { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } { { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor PreEvalHook EvalMulDiv IsEndingTerm { pop exit } if} loop } ifelse AnalyzePostHook } def /AnalyzeSignedFactor { AnalyzePreHook 2 copy get dup IsUnaryOp { RollOp 1 add NextNonBlankChar pop AnalyzeSignedFactor EvalUnaryOp } { pop AnalyzeFactor } ifelse AnalyzePostHook } def /AnalyzeFactor { AnalyzePreHook AnalyzePower IsEndingFactor { dup 0 ne { 32 eq { NextNonBlankChar } if } { pop } ifelse } { { RollOp 1 add NextNonBlankChar pop AnalyzePower PreEvalHook EvalPower IsEndingFactor { pop exit } if} loop } ifelse AnalyzePostHook } def /AnalyzePower { %% depending of first char either a number, or a literal 2 copy get dup 40 eq%%an open par { pop 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop } { AnalyzeLiteral } ifelse } def %/AnalyzeLiteral { IsNumber { EvalNumber } { EvalLiteral } ifelse } def /AnalyzeLiteral { dup IsUnaryOp exch IsNumber or { EvalNumber } { EvalLiteral } ifelse } def%%dr 09102006 /IsUnaryOp { dup 43 eq exch 45 eq or } bind def /IsNumber { dup 48 ge exch dup 57 le 3 -1 roll and exch 46 eq or } bind def /ReadNumber { exch dup 3 -1 roll dup 3 1 roll %%read mantissa { 1 add 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsNumber not { exit } if pop } loop dup 101 eq exch 69 eq or %%% there is a "e" or "E" -> read exponant { 1 add 2 copy get dup IsUnaryOp { pop 1 add 2 copy get } if { IsNumber not { exit } if 1 add 2 copy get } loop } if dup 4 1 roll 3 -1 roll exch 1 index sub getinterval } def /IsCondOp { dup 30 eq exch dup 60 ge exch 62 le and or } bind def /ReadCondOp { NextNonBlankChar 1 index 4 1 roll { IsCondOp not { exit } if 1 add 2 copy get } loop 2 copy 5 -1 roll exch 1 index sub getinterval 3 1 roll } def /IsLiteral {% dup 48 ge exch dup 57 le 3 -1 roll and exch dup 65 ge exch dup 90 le 3 -1 roll and 3 -1 roll or exch dup 97 ge exch 122 le and or } bind def /ReadLiteral { exch dup 3 -1 roll dup 3 1 roll %%read literal core { 2 copy dup Strlen eq { pop pop 0 exit } if get dup IsLiteral not { exit } if pop 1 add } loop 4 1 roll dup 5 1 roll 3 -1 roll exch 1 index sub getinterval 4 1 roll } def /IsEndingExpr {% 2 copy dup Strlen eq %% if end of str is reached -> end ! { pop pop 0 true } %% ending chr -> clpar, comma, |, <, >, =, !, {get dup dup 41 eq exch dup 124 eq exch dup 93 eq exch dup 44 eq exch dup 30 eq exch dup 60 ge exch 62 le and or or or or or} ifelse } def /IsEndingTerm { IsEndingExpr { true } { dup dup 43 eq exch 45 eq or } ifelse } def /IsEndingFactor { IsEndingTerm { true } { dup dup 42 eq exch 47 eq or } ifelse } def /IsEndingPower { IsEndingFactor { true } { dup 94 eq } ifelse } def /NextNonBlankChar { { dup Strlen eq { 0 exit } if 2 copy get dup neBlkChar { exit } if pop 1 add } loop } bind def /neBlkChar { dup 32 ne exch dup 10 ne exch 9 ne and and } bind def /BRK {false} def /BRKtrue {/BRK true def} def /BRKStop {BRK {BRKtoto} if } def /BRKEvalStop {BRK exch if } def /BRKBRK2true {BRK {BRK2true} if } def /BRK2 {false} def /BRK2true {/BRK2 true def} def /BRK2Stop {BRK2 {BRK2toto} if } def/BRK {false} def end % %-------------------------------------------------------------------------------% % /tx@AlgToPs 12 dict def tx@AlgToPs begin % /AlgToPs { tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE pop pop EndingSequence end } def /EndingSequence { ExpressionVector aload length /end cvx exch 1 add array astore } def /InitParser { /ExpressionVector [ /tx@AddMathFunc cvx /begin cvx ] def dup length /Strlen exch def 0 } def /Strlen 0 def /EvalListOfExpr {} def% /EvalNumber {% ReadNumber cvr /ExpressionVector ExpressionVector aload length dup 3 add -1 roll cvx exch 1 add array astore def NextNonBlankChar pop } def /EvalAddSub {% /ExpressionVector ExpressionVector aload length dup 5 add -1 roll 43 eq { /add } { /sub } ifelse cvx exch 1 add array astore def } def /EvalMulDiv {% /ExpressionVector ExpressionVector aload length dup 5 add -1 roll 42 eq { /mul } { /div } ifelse cvx exch 1 add array astore def } def /EvalPower {% /ExpressionVector ExpressionVector aload length dup 5 add -1 roll pop /exp cvx exch 1 add array astore def } def /EvalLiteral {% ReadLiteral dup 40 eq%%% there is an open par -> function call { pop 2 index dup (Sum) eq { EvalSum } { dup (IfTE) eq { EvalCond } { dup (Derive) eq { pop EvalDerive } { pop 1 add NextNonBlankChar pop AnalyzeListOfE 2 index TrigoFunc /ExpressionVector ExpressionVector aload length dup 5 add -1 roll cvn cvx exch 1 add array astore def 1 add NextNonBlankChar pop } ifelse } ifelse} ifelse } { /ExpressionVector ExpressionVector aload length dup 6 add -1 roll cvn cvx exch 1 add array astore def dup 91 eq%%% there is an open bracket -> vector element { pop 1 add NextNonBlankChar pop AnalyzeExpr /ExpressionVector ExpressionVector aload length /cvi cvx exch /get cvx exch 2 add array astore def 1 add } { pop NextNonBlankChar pop } ifelse} ifelse } def /EvalDerive { %% manage the function descripiton 1 add ReadNumber 3 1 roll NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if 1 add NextNonBlankChar pop 3 -1 roll cvi dup 0 eq { pop AnalyzeExpr 3 -1 roll pop 1 add } { 1 sub 3 1 roll (x) exch tx@Derive begin DeriveIndexed end 4 -1 roll { (x) tx@Derive begin Derive end } repeat ExpressionVector exch /ExpressionVector [] def AlgToPs aload length /ExpressionVector 1 index 3 add -1 roll aload length dup 3 add -1 roll /l2 exch def /l1 exch def l1 l2 add 1 add l2 neg roll l1 l2 add array astore def 3 -1 roll pop 1 add 1 index length /Strlen exch def } ifelse } def /EvalSum {% pop 1 add NextNonBlankChar pop %% read the variable name ReadLiteral pop NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if %% read the initial value 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if %% read the increment value 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if %% read the limit value 1 add NextNonBlankChar pop ReadNumber cvi 3 1 roll 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if /ExpressionVector ExpressionVector aload length dup 7 add -3 roll 0 4 1 roll 5 -1 roll 4 add array astore def %% keep ExpressionVector for later and create a new one for internal Sum computation ExpressionVector 3 1 roll /ExpressionVector [ 6 -1 roll cvn /exch cvx /def cvx ] def 1 add NextNonBlankChar pop AnalyzeExpr %% add each term /ExpressionVector ExpressionVector aload length 1 add /add cvx exch array astore def /ExpressionVector 4 -1 roll aload length ExpressionVector cvx /for cvx 3 -1 roll 2 add array astore def 3 -1 roll pop 1 add } def /TrigoFunc { dup (cos) eq 1 index (sin) eq or exch (tan) eq or { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add array astore def } if } def /EvalCond {% pop 1 add AnalyzeCond NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if ExpressionVector 3 1 roll /ExpressionVector [] def 1 add AnalyzeExpr ExpressionVector 3 1 roll /ExpressionVector [] def NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if 1 add AnalyzeExpr NextNonBlankChar 41 ne { ANALYZER_ERROR_missing_ending parenthesis_in_IfTE } if ExpressionVector /ExpressionVector 6 -1 roll aload length dup 6 add -1 roll cvx exch dup 4 add -1 roll cvx /ifelse cvx 3 -1 roll 3 add array astore def 1 add 3 -1 roll pop } def /EvalCondOp {% 3 -1 roll dup (=) eq { /eq } {% dup (<) eq { /lt } {% dup (>) eq { /gt } {% dup (>=) eq { /ge } {% dup (<=) eq { /ge } {% dup (!=) eq { /ne } { ERROR_non_valid_conditional_operator } ifelse } ifelse } ifelse } ifelse } ifelse } ifelse cvx exch pop /ExpressionVector ExpressionVector aload length dup 3 add -1 roll exch 1 add array astore def } def /EvalUnaryOp { 3 -1 roll 45 eq { /ExpressionVector ExpressionVector aload length /neg cvx exch 1 add array astore def } if } def /AnalyzePreHook {} bind def /PreEvalHook {} bind def /AnalyzeListOfEPostHook {} bind def /AnalyzePostHook {} def /RollOp { 3 1 roll } bind def end %tx@CoreAnalyzerDict % %--------------------------------------------------------------------% % /tx@Derive 41 dict def tx@Derive begin /Derive {% 10240 string 3 1 roll 0 3 1 roll /Variable exch def tx@CoreAnalyzerDict begin InitParser AnalyzeListOfE end } def /Strlen 0 def /InitParser { dup length /Strlen exch def 0 } def /DeriveIndexed {% 3 1 roll 10240 string 3 1 roll 0 3 1 roll /Variable exch def tx@CoreAnalyzerDict begin InitParser pop 4 -1 roll AnalyzeExpr 4 -2 roll pop pop 4 -2 roll exch pop end } def /EvalListOfExpr {% 4 2 roll 2 copy 9 -1 roll dup length 4 1 roll putinterval add AddPipe 2 copy 7 -1 roll dup length 4 1 roll putinterval add 6 -2 roll pop pop 2 copy pop 0 6 2 roll GetIntervalNewStr 5 1 roll 2 copy 0 exch getinterval 6 1 roll } def /EvalUnaryOp { 4 -2 roll 4 index (0) eq { (0) StrConcat 7 -1 roll pop } { 7 -1 roll 45 eq { AddSub AddOpPar true } { false } ifelse 3 1 roll 5 index StrConcat 3 -1 roll { AddClPar } if } ifelse 2 copy pop 0 6 2 roll GetIntervalNewStr 7 -2 roll pop pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def /EvalNumber { ReadNumber (0) 6 2 roll } def /EvalAddSub {% 7 index dup (0) eq { pop true }%% du=0 nothing added { dup length exch 5 index 5 index 3 -1 roll putinterval 4 -1 roll add 3 1 roll false } ifelse 5 index dup (0) eq { pop { (0) } { 4 -2 roll 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse }%%dv=0 { exch { 5 -2 roll 7 index 45 eq { AddSub } if false } %%nothing yet added { 5 -2 roll 7 index 43 eq%%something yet added { AddAdd false } { AddSub AddOpPar true } ifelse } ifelse 11 1 roll 3 -1 roll StrConcat 10 -1 roll { AddClPar } if 2 copy pop 0 6 2 roll GetIntervalNewStr } ifelse mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def /EvalMulDiv { 6 index 42 eq {EvalMul} {EvalDiv} ifelse } def /EvalMul {% 4 -2 roll 7 index dup (0) eq { pop false }%%du=0 { (1) eq%%du=1 { false } { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if true }%%du!=0 ifelse 5 1 roll 5 index (0) eq { 5 -1 roll not { (0) StrConcat } if }%%dv=0 { 5 -1 roll { AddAdd } if 4 index (1) eq { 8 index StrConcat } { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } ifelse }%%dv!=0 ifelse 2 copy pop 0 6 2 roll GetIntervalNewStr mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def /EvalDiv {% 4 -2 roll 4 index (0) eq%%dv=0 -> u'/v { 7 index (0) eq { (0) StrConcat } { AddOpPar 7 index StrConcat AddClPar AddDiv 5 index StrConcat } ifelse } { 7 index dup (0) eq { pop }%%du=0 { (1) eq%%du=1 { false } { AddOpPar 7 index StrConcat AddClPar AddMul AddOpPar true } ifelse 3 1 roll 6 index StrConcat 3 -1 roll { AddClPar } if}%%du!=0 ifelse AddSub 4 index (1) eq { 8 index StrConcat } { AddOpPar 8 index StrConcat AddClPar AddMul AddOpPar 4 index StrConcat AddClPar } ifelse %}%%dv!=0 2 copy GetIntervalNewStr 3 1 roll pop 0 AddOpPar 3 -1 roll StrConcat AddClPar AddDiv AddOpPar 5 index StrConcat AddClPar 2 copy (^2) putinterval 2 add } ifelse 2 copy pop 0 6 2 roll GetIntervalNewStr mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def /StrConcat { dup length 4 2 roll 2 copy 6 -1 roll putinterval 3 -1 roll add } bind def /GetIntervalNewStr { 0 exch getinterval dup length string copy } bind def /EvalPower {% 4 -2 roll 7 index (0) eq {%%if du=0 then (u^v)'=v'ln(u)u^v 4 index (0) eq { (0) StrConcat }%%if dv=0 then (u^v)'=0 { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if 8 index (e) ne { (ln\() StrConcat 8 index StrConcat (\)*) StrConcat } if AddOpPar 8 index StrConcat (\)^\() StrConcat 5 index StrConcat AddClPar } ifelse } {%%du!=0 4 index (0) eq {%%if dv=0 then (u^v)'=vu'u^(v-1) 5 index dup IsStrNumber { dup (0) eq { StrConcat } { dup dup (1) eq exch (1.0) eq or { StrConcat } { StrConcat 7 index dup (1) ne exch (1.0) ne and%%%dr 09102006 insert du if <> 1 { (*\() StrConcat 7 index StrConcat (\)) StrConcat } if%%%dr 09102006 (*\() StrConcat 8 index StrConcat (\)) StrConcat 5 index dup dup (2) eq exch (2.0) eq or { pop } { cvr 1 sub 20 string cvs 3 1 roll (^) StrConcat 3 -1 roll StrConcat } ifelse } ifelse } ifelse } { pop AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat 5 index StrConcat (-1\)) StrConcat } ifelse } {%%if dv!=0 and du!=0 then (u^v)'=u'vu^(v-1)+v'u^(v)ln(u) 7 index (1) ne { AddOpPar 7 index StrConcat (\)*) StrConcat } if AddOpPar 5 index StrConcat (\)*\() StrConcat 8 index StrConcat (\)^\() StrConcat 5 index StrConcat (-1\)+\() StrConcat 4 index (1) ne { 4 index StrConcat (\)*\() StrConcat } if 8 index StrConcat (\)^\() StrConcat 5 index StrConcat (\)*ln\() StrConcat 8 index StrConcat AddClPar } ifelse } ifelse 2 copy pop 0 6 2 roll GetIntervalNewStr mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def /IsStrNumber {% true exch { dup 48 lt exch dup 57 gt 3 -1 roll or exch dup 46 ne%%. exch dup 43 ne%%+ exch 45 ne%%- and and and { pop false } if } forall } def /EvalLiteral {% ReadLiteral dup 40 eq%%% there is an open par -> function call { pop (EvalFunc_ ) 9 4 index StrConcat 0 exch getinterval cvn cvx exec } { dup 91 eq%%% there is an open bracket -> vector element { ERROR_vector_not_yet_implemented } { pop EvalVariable } ifelse } ifelse } def /EvalVariable { 2 index Variable eq { (1) } { (0) } ifelse 4 -1 roll exch 6 2 roll } def /EvalFunc { 4 2 roll 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if (Eval ) 4 8 index StrConcat 0 exch getinterval cvn cvx exec 2 copy pop 0 6 2 roll GetIntervalNewStr mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def /EvalFunc_sin {% PreCommonFunc { (cos\() StrConcat 5 index StrConcat AddClPar } if PostCommonFunc } def /EvalFunc_cos {% PreCommonFunc { (\(-sin\() StrConcat 5 index StrConcat (\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_tan {% PreCommonFunc { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/cos\() StrConcat 5 index StrConcat (\)^2) StrConcat } if PostCommonFunc } def /EvalFunc_asin {% PreCommonFunc { (1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_acos {% PreCommonFunc { (-1/sqrt\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_atg {% PreCommonFunc { (1/\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_ln {% PreCommonFunc { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\() StrConcat 5 index StrConcat AddClPar } if PostCommonFunc } def /EvalFunc_exp {% PreCommonFunc { (exp\() StrConcat 5 index StrConcat AddClPar } if PostCommonFunc } def /EvalFunc_sqrt {% PreCommonFunc { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/\(2*sqrt\() StrConcat 5 index StrConcat (\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_Fact {% PreCommonFunc { ERROR_no_variable_expression_in_Fact } if PostCommonFunc } def /EvalFunc_sh {% PreCommonFunc { (ch\() StrConcat 5 index StrConcat AddClPar } if PostCommonFunc } def /EvalFunc_ch {% PreCommonFunc { (sh\() StrConcat 5 index StrConcat AddClPar } if PostCommonFunc } def /EvalFunc_th {% PreCommonFunc { dup 0 eq { (1) StrConcat } { 1 sub } ifelse (/ch\() StrConcat 5 index StrConcat (\)^2) StrConcat } if PostCommonFunc } def /EvalFunc_Argsh {% PreCommonFunc { (1/sqrt\(1+\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_Argch {% PreCommonFunc { (1/sqrt\(\() StrConcat 5 index StrConcat (\)^2-1\)\)) StrConcat } if PostCommonFunc } def /EvalFunc_Argth {% PreCommonFunc { (1/\(1-\() StrConcat 5 index StrConcat (\)^2\)\)) StrConcat } if PostCommonFunc } def /PreCommonFunc { 1 add NextNonBlankChar pop 3 -1 roll 5 1 roll AnalyzeExpr 1 add NextNonBlankChar pop 4 2 roll 4 index (0) eq { (0) StrConcat false } { 4 index (1) ne { AddOpPar 4 index StrConcat (\)*) StrConcat } if true } ifelse } def /PostCommonFunc { 2 copy pop 0 6 2 roll GetIntervalNewStr mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def /EvalFunc_Derive {% 1 add ReadNumber cvi 1 add dup cvr log 1 add cvi string cvs 4 -1 roll pop 5 1 roll 1 add NextNonBlankChar pop AnalyzeExpr 1 add 4 -2 roll (Derive\() StrConcat 7 -1 roll StrConcat (,) StrConcat 6 -1 roll StrConcat AddClPar 2 copy pop 0 6 2 roll GetIntervalNewStr 6 -1 roll pop 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def /EvalFunc_Sum {% 1 add NextNonBlankChar pop %% read the variable name ReadLiteral pop 3 -1 roll pop NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_first_comma_in_Sum } if %% read the initial value 1 add NextNonBlankChar pop ReadNumber pop 2 copy get 44 ne { ANALYZER_ERROR_missing_second_comma_in_Sum } if %% read the increment value 1 add NextNonBlankChar pop ReadNumber pop 2 copy get 44 ne { ANALYZER_ERROR_missing_third_comma_in_Sum } if %% read the limit value 1 add NextNonBlankChar pop ReadNumber pop 2 copy get 44 ne { ANALYZER_ERROR_missing_fourth_comma_in_Sum } if 1 add NextNonBlankChar pop dup 6 1 roll 3 -1 roll pop AnalyzeExpr 1 add NextNonBlankChar pop 4 -2 roll 3 index 8 index dup 9 index exch sub getinterval StrConcat 4 index StrConcat AddClPar 2 copy pop 0 6 2 roll GetIntervalNewStr mark 9 -3 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def /EvalFunc_IfTE {% 3 -1 roll pop 1 add NextNonBlankChar pop SkipCond NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_first_comma_in_IfTE } if 1 add NextNonBlankChar pop dup 5 1 roll AnalyzeExpr NextNonBlankChar 44 ne { ANALYZER_ERROR_missing_second_comma_in_IfTE } if 1 add NextNonBlankChar pop AnalyzeExpr 1 add NextNonBlankChar pop 4 -2 roll 3 index 10 index dup 11 index exch sub getinterval StrConcat 6 index StrConcat (,) StrConcat 4 index StrConcat AddClPar 2 copy pop 0 6 2 roll GetIntervalNewStr mark 11 -5 roll cleartomark 2 index 6 index dup 4 index exch sub getinterval exch 6 2 roll } def /SkipCond { { 1 add 2 copy get 44 eq {exit } if } loop } bind def /TrigoFunc { dup (cos) eq 1 index (sin) eq or exch (tan) eq or { /ExpressionVector ExpressionVector aload length Pi /div cvx 180 /mul cvx 5 -1 roll 4 add array astore def } if } def /EvalCondOp { 3 -1 roll pop } bind def /PutIntervalOneAdd {putinterval 1 add} bind def /AddOpPar {2 copy (\() PutIntervalOneAdd} bind def /AddClPar {2 copy (\)) PutIntervalOneAdd} bind def /AddZero {2 copy (0) PutIntervalOneAdd} bind def /AddMul {2 copy (*) PutIntervalOneAdd} bind def /AddDiv {2 copy (/) PutIntervalOneAdd} bind def /AddAdd {2 copy (+) PutIntervalOneAdd} bind def /AddSub {2 copy (-) PutIntervalOneAdd} bind def /AddPipe {2 copy (|) PutIntervalOneAdd} bind def /AnalyzePreHook { dup 5 1 roll } bind def /PreEvalHook {} def /AnalyzePostHook { 7 -1 roll pop } bind def /AnalyzeListOfEPostHook { 6 -1 roll mark 6 1 roll cleartomark } bind def /RollOp { 5 1 roll } bind def end%%%tx@CoreAnalyzerDict /tx@AddMathFunc 12 dict def tx@AddMathFunc begin /asin {% dup abs 1 gt { EQDFasinrangeerror } if dup dup dup mul 1 exch sub sqrt atan exch 0 lt { 360 sub } if DegtoRad } def /acos {% dup abs 1 gt { EQDFacosrangeerror } if dup dup mul 1 exch sub sqrt exch atan DegtoRad } def /atg { 1 atan dup 90 gt { 360 sub } if DegtoRad } bind def /sh { dup Ex exch neg Ex sub 2 div } def /ch { dup Ex exch neg Ex add 2 div } def /th { dup sh exch ch div } def /Argsh { dup dup mul 1 add sqrt add ln } def /Argch { dup dup mul 1 sub sqrt add ln } def /Argth { dup 1 add exch 1 exch sub div ln 2 div } def /Exp { dup 0 eq { pop pop 1 } { exp } ifelse } bind def /Ex { Euler exch exp } bind def /Fact { 1 exch 2 exch 1 exch { mul } for } bind def /fact { Fact } bind def end % % END pst-algparser.pro %%EndProcSet %%BeginProcSet: pst-dots.pro 0 0 % $Id: pst-dots.pro 130 2009-08-27 08:55:03Z herbert $ % % 10 dict dup begin % hold local /FontType 3 def /FontMatrix [.001 0 0 .001 0 0] def % /FontBBox [-571.5 -742.5 571.5 742.5] def % changed to next line 20060616 hv /FontBBox [-1000 -1000 1000 1000] def % See end of file in /BuildGlyph /Encoding 256 array def 0 1 255 {Encoding exch /.notdef put} for % fill the array with /.notdef Encoding % replace with given dot names dup (b) 0 get /Bullet put % get the numerical position of b in ASCII % % and save /Bullet at this place in Encoding dup (c) 0 get /Circle put dup (C) 0 get /BoldCircle put % 67 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 dup (k) 0 get /Asterisk put dup (K) 0 get /BoldAsterisk put dup (J) 0 get /SolidAsterisk put dup (h) 0 get /Hexagon put dup (H) 0 get /BoldHexagon put dup (G) 0 get /SolidHexagon put dup (f) 0 get /Octogon put % 2008-04-18 hv dup (F) 0 get /BoldOctogon put % 2008-04-18 hv dup (g) 0 get /SolidOctogon put % 2008-04-18 hv dup (a) 0 get /Add put dup (A) 0 get /BoldAdd put % 65 dup (x) 0 get /Mul put dup (X) 0 get /BoldMul put dup (m) 0 get /Oplus put dup (M) 0 get /BOplus put dup (e) 0 get /SolidOplus put dup (n) 0 get /Otimes put dup (N) 0 get /BOtimes put dup (E) 0 get /SolidOtimes put dup (i) 0 get /Bar put dup (I) 0 get /BoldBar put dup (l) 0 get /SolidDiamond put dup (d) 0 get /Diamond put (D) 0 get /BoldDiamond put /CharProcs 47 dict def CharProcs begin /CirclePath {0 0 500 0 360 arc closepath} def /Bullet {CirclePath fill} def /Circle {CirclePath .9 .9 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 %-------------- hv begin 2004/07/25 from: er 2003/03/24 /HexagonPath { 0 550 moveto -476 275 lineto -476 -275 lineto 0 -550 lineto 476 -275 lineto 476 275 lineto closepath } def /SolidHexagon {HexagonPath fill} def /Hexagon {HexagonPath .89 .89 scale HexagonPath eofill} def /BoldHexagon {HexagonPath .79 .79 scale HexagonPath eofill} def % 2008-04-18 hv /OctogonPath { 550 dup 22.5 tan mul dup neg dup add /xMove exch def exch moveto 7 { xMove 0 rlineto 45 rotate } repeat closepath } def /SolidOctogon { OctogonPath fill } def /Octogon { OctogonPath .89 .89 scale OctogonPath eofill } def /BoldOctogon { OctogonPath .79 .79 scale OctogonPath eofill } def % /AsteriskPath { 20 0 moveto 10 250 180 500 0 500 curveto -180 500 -10 250 -20 0 curveto closepath } def /Asterisk { AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath 60 rotate AsteriskPath fill } def % /Basterp {50 250 220 500 0 500 curveto -220 500 -50 250 -50 30 cos 100 mul curveto} def /BoldAsteriskPath { 50 30 cos 100 mul moveto Basterp 60 rotate Basterp 60 rotate Basterp 60 rotate Basterp 60 rotate Basterp 60 rotate Basterp closepath } def /BoldAsterisk {BoldAsteriskPath fill} def /SolidAsterisk {CirclePath .9 .9 scale BoldAsteriskPath eofill} def /CrossPath { 40 550 moveto -40 550 lineto -40 40 lineto -550 40 lineto -550 -40 lineto -40 -40 lineto -40 -550 lineto 40 -550 lineto 40 -40 lineto 550 -40 lineto 550 40 lineto 40 40 lineto closepath } def /BoldCrossPath {80 550 moveto -80 550 lineto -80 80 lineto -550 80 lineto -550 -80 lineto -80 -80 lineto -80 -550 lineto 80 -550 lineto 80 -80 lineto 550 -80 lineto 550 80 lineto 80 80 lineto closepath } def /Add {CrossPath fill} def /Mul {45 rotate CrossPath fill} def /BoldAdd {BoldCrossPath fill} def /BoldMul {45 rotate BoldCrossPath fill} def /Oplus {CirclePath .9 .9 scale CirclePath eofill .775 .775 scale CrossPath fill } def /SolidOplus {CirclePath .775 .775 scale BoldCrossPath eofill} def /BOplus {CirclePath .8 .8 scale CirclePath eofill .775 .775 scale BoldCrossPath fill} def /Otimes {CirclePath .9 .9 scale CirclePath eofill 45 rotate .775 .775 scale CrossPath fill} def /BOtimes {CirclePath .8 .8 scale CirclePath eofill 45 rotate .775 .775 scale BoldCrossPath fill } def /SolidOtimes {CirclePath 45 rotate .775 .775 scale BoldCrossPath eofill} def /BarPath {40 660 moveto -40 660 lineto -40 -660 lineto 40 -660 lineto closepath} def /Bar {BarPath fill} def /BoldBarPath {80 660 moveto -80 660 lineto -80 -660 lineto 80 -660 lineto closepath} def /BoldBar {BoldBarPath fill} def /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 .865 .865 scale DiamondPath eofill} def /BoldDiamond {DiamondPath .73 .73 scale DiamondPath eofill} def /.notdef { } def end % /BuildGlyph { exch begin % Metrics 1 index get exec 0 0 0 % BBoxes 3 index get exec -1000 -1000 1000 1000 % -571.5 -742.5 571.5 742.5 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 % %%EndProcSet %%BeginProcSet: pst-node.pro 0 0 % $Id: pst-node.pro 263 2010-01-22 11:13:25Z herbert $ % /tx@NodeDict 400 dict def tx@NodeDict begin tx@Dict begin % from main pstricks dict /T /translate load def end /NewNode { % on stack: { x y } boolean N@name type InitXnode gsave /next ED % { x y } boolean N@name type dict dup % { x y } boolean N@name dict dict 3 1 roll def % { x y } boolean dict N@name dict def exch { dup 3 1 roll def } if % { x y } dict boolean begin % { x y } dict begin tx@Dict begin STV CP T exec % set scaling end /NodeMtrx CM def % save CM next % InitXNode 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 % second and first node /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 t floor dup n ge % to allow npos<= hv 2008-08-14 { 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 { /lineAngle ED GetEdgeA GetEdgeB GetArmA GetArmB mark lineAngle abs 0 gt { /xTemp xA2 10 add def /yTemp yA2 lineAngle dup sin exch cos div 10 mul add def /dY1 yTemp yA2 sub def /dX1 xTemp xA2 sub def /dY2 yB2 yB1 sub def /dX2 xB2 xB1 sub def dX1 abs 0.01 lt { /m2 dY2 dX2 div def /xB2 xA2 def /yB2 xA2 xB1 sub m2 mul yB1 add def }{ dX2 abs 0.01 lt { /m1 dY1 dX1 div def /xB2 xB1 def /yB2 xB1 xA2 sub m1 mul yA2 add def }{% /m1 dY1 dX1 div def /m2 dY2 dX2 div def /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def /yB2 xB2 xA2 sub m1 mul yA2 add def } ifelse } ifelse } if 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 % % 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 { /lineAngle ED GetEdgeA GetArmA lineAngle abs 0 gt { lineAngle } { yB yA2 sub xB xA2 sub Atan 180 add } ifelse /AngleB ED GetEdgeB mark lineAngle abs 0 gt { /dY2 yA2 yA1 sub def /dX2 xA2 xA1 sub def lineAngle abs 90 eq { /m2 dY2 dX2 div def /yA2 xB xA2 sub m2 mul yA2 add def /xA2 xB def }{ /m1 lineAngle dup sin exch cos div def % tan alpha dX2 abs 0.01 lt { /yA2 xA1 xB sub m1 mul yB add def /xA2 xA1 def }{% /m2 dY2 dX2 div def /xA2 m1 xB mul m2 xA2 mul sub yA2 add yB sub m1 m2 sub div def /yA2 xA2 xB sub m1 mul yB add def } ifelse } ifelse } if 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 % % 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: pst-text.pro 0 0 % PostScript header file pst-text.pro % Version 1.0, 2005-11-29 (hv) % For distribution, see pstricks.tex. /tx@TextPathDict 40 dict def tx@TextPathDict begin % Syntax: <dist> PathPosition - % Function: Searches for position of currentpath distance <dist> from % beginning. Sets (X,Y)=position, and Angle=tangent. /PathPosition { /targetdist exch def /pathdist 0 def /continue true def /X { newx } def /Y { newy } def /Angle 0 def gsave flattenpath { movetoproc } { linetoproc } { } { firstx firsty linetoproc } /pathforall load stopped { pop pop pop pop /X 0 def /Y 0 def } if grestore } def /movetoproc { continue { @movetoproc } { pop pop } ifelse } def /@movetoproc { /newy exch def /newx exch def /firstx newx def /firsty newy def } def /linetoproc { continue { @linetoproc } { pop pop } ifelse } def /@linetoproc { /oldx newx def /oldy newy def /newy exch def /newx exch def /dx newx oldx sub def /dy newy oldy sub def /dist dx dup mul dy dup mul add sqrt def /pathdist pathdist dist add def pathdist targetdist ge { pathdist targetdist sub dist div dup dy mul neg newy add /Y exch def dx mul neg newx add /X exch def /Angle dy dx atan def /continue false def } if } def /TextPathShow { /String exch def /CharCount 0 def % hv begin 2005-11-29 1.00 % String length % { String CharCount 1 getinterval ShowChar % /CharCount CharCount 1 add def /CharSize 1 def currentfont /FontType get 0 eq { currentfont /FMapType get dup 2 eq exch dup 5 eq exch 9 eq or or { /CharSize 2 def} if } if String length CharSize idiv { String CharCount CharSize getinterval ShowChar /CharCount CharCount CharSize add def % hv end 2005-11-29 1.00 } repeat } def % Syntax: <pathlength> <position> InitTextPath - /InitTextPath { gsave currentpoint /Y exch def /X exch def exch X Hoffset sub sub mul Voffset Hoffset sub add neg X add /Hoffset exch def /Voffset Y def grestore } def /Transform { PathPosition dup Angle cos mul Y add exch Angle sin mul neg X add exch translate Angle rotate } def /ShowChar { /Char exch def gsave Char end stringwidth tx@TextPathDict begin 2 div /Sy exch def 2 div /Sx exch def /sc?currentpoint where {pop sc?currentpoint} {currentpoint} ifelse % currentpoint Voffset sub Sy add exch Hoffset sub Sx add Transform Sx neg Sy neg moveto Char end tx@TextPathSavedShow tx@TextPathDict begin grestore Sx 2 mul Sy 2 mul rmoveto } def % end % END pst-text.pro %%EndProcSet %%BeginProcSet: special.pro 0 0 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 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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 /setpagedevice{pop}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 0 0 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 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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 %%BeginProcSet: hps.pro 0 0 /HPSdict 20 dict dup begin/braindeaddistill 50 def/rfch{dup length 1 sub 1 exch getinterval}bind def/splituri{dup(#)search{exch pop}{()exch} ifelse dup(file:)anchorsearch{pop exch pop 3 -1 roll pop false}{pop 3 -1 roll exch pop true}ifelse}bind def/lookuptarget{exch rfch dup /TargetAnchors where{pop TargetAnchors dup 3 -1 roll known{exch get true }{pop(target unknown:)print == false}ifelse}{pop pop (target dictionary unknown\012)print false}ifelse}bind def/savecount 0 def/stackstopped{count counttomark sub/savecount exch store stopped count savecount sub 1 sub dup 0 gt{{exch pop}repeat}{pop}ifelse}bind def /tempstring 128 string def/targetvalidate{1 index dup length 127 gt exch tempstring cvs dup(/)search{pop pop pop exch pop true exch}{pop}ifelse token{pop length 0 ne}{true}ifelse or not}bind def/targetdump-hook where {pop}{/targetdump-hook{dup mark exch gsave initmat setmatrix{{mark/Dest 4 2 roll targetvalidate{aload pop exch pop/Page 3 1 roll/View exch[exch /FitH exch]/DEST pdfmark}{cleartomark}ifelse}forall}stackstopped pop grestore}bind def}ifelse/baseurl{mark exch 1 dict dup 3 -1 roll/Base exch put/URI exch/DOCVIEW{pdfmark}stackstopped pop}bind def /externalhack systemdict/PDF known def/oldstyle true def/initmat matrix currentmatrix def/actiondict 2 dict dup/Subtype/URI put def /weblinkhandler{dup 3 1 roll mark 4 1 roll/Title 4 1 roll splituri 3 -1 roll dup length 0 gt{cvn/Dest exch 4 2 roll}{pop}ifelse{externalhack{ /HTTPFile exch}{actiondict dup 3 -1 roll/URI exch put/Action exch} ifelse}{externalhack{/HTTPFile exch}{/File exch/Action/GoToR}ifelse} ifelse counttomark 2 sub -1 roll aload pop/Rect 4 1 roll/Border 3 1 roll /Color exch oldstyle{/LNK}{/Subtype/Link/ANN}ifelse gsave initmat setmatrix{pdfmark}stackstopped grestore}bind def/externalhandler where{ pop}{/externalhandler{2 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434 a SDict begin H.R end 3652 434 a 3652 498 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Reygers:2011ny) cvn H.B /ANN pdfmark end 3652 498 a Fy(].)0 631 y(The)29 b(origin)c(of)j(this)f(discrepancy)i(is)f(not)f(clear)h(y)m (et,)i(although)c(it)h(is)g(w)m(orth)i(stressing)f(that)g(FF)f(are)0 764 y(rather)d(p)s(o)s(orly)f(constrained,)k(esp)s(ecially)c(in)h(the)g (gluon)g(sector)h(and)f(at)g(large)f(momen)m(tum)g(fraction)0 897 y Fx(z)t Fy(.)58 b(Higher-t)m(wist)36 b(pro)s(cesses)j(migh)m(t)d (also)g(con)m(tribute)h(substan)m(tially)f(to)h(hadron)g(pro)s(duction) f(at)0 1029 y(not)j(to)s(o)g(large)f Fx(p)652 1056 y Fw(?)747 1029 y Fy([)774 1029 y SDict begin H.S end 774 1029 a 0 TeXcolorgray Fy(13)p 0 TeXcolorgray 872 965 a SDict begin H.R end 872 965 a 872 1029 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Arleo:2009ch) cvn H.B /ANN pdfmark end 872 1029 a Fy(].)64 b(It)39 b(migh)m(t)f(b)s(e)i(tempting)e(to)h (assume)h(that)f(the)h(presen)m(t)h(uncertain)m(ties)0 1162 y(in)g(the)h(absolute)f Fx(p)p Fy({)p Fx(p)g Fy(cross)i(sections)f (are)f(not)h(an)f(issue)h(in)f(hea)m(vy-ion)h(collisions)d(since)j (these)0 1295 y(most)33 b(lik)m(ely)f(cancel)h(out)g(in)f(Eq.)j(\()1296 1295 y SDict begin H.S end 1296 1295 a 0 TeXcolorgray Fy(1)p 0 TeXcolorgray 1344 1231 a SDict begin H.R end 1344 1231 a 1344 1295 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (equation.2.1) cvn H.B /ANN pdfmark end 1344 1295 a Fy(\).)45 b(As)34 b(w)m(e)g(shall)e(see)j(later,)d(this)h(is)g(not)g(necessarily) g(the)h(case,)0 1428 y(since)e(the)g(medium)d(e\013ects)k(whic)m(h)f (a\013ect)f Fx(R)1685 1455 y Fs(AA)1796 1428 y Fy(actually)f(dep)s(end) i(on)f(the)h(dynamics)f(of)g(the)h(hard)0 1561 y(pro)s(cess)k(itself.) 48 b(It)35 b(is)f(th)m(us)i(imp)s(ortan)m(t)d(to)h(k)m(eep)j(in)d(mind) f(suc)m(h)j(uncertain)m(ties)f(when)h(discussing)0 1694 y(the)d(v)-5 b(arious)32 b(phenomenological)e(studies)j(and)g(their)f (assumptions.)195 1826 y(In)e(hea)m(vy-ion)g(collisions,)d(measuremen)m (ts)j(are)g(made)f(more)g(delicate)f(b)s(ecause)j(of)e(the)h(larger)0 1959 y(underlying)40 b(ev)m(en)m(t.)68 b(Thanks)42 b(to)e(recen)m(t)h (jet)g(reconstruction)f(tec)m(hniques)i(in)e(high-m)m(ultiplicit)m(y)0 2092 y(en)m(vironmen)m(ts)31 b([)624 2092 y SDict begin H.S end 624 2092 a 0 TeXcolorgray Fy(14)p 0 TeXcolorgray 722 2028 a SDict begin H.R end 722 2028 a 722 2092 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Salam:2009jx) cvn H.B /ANN pdfmark end 722 2092 a Fy(],)g(it)f(has)h(b)s(ecome)f(p)s (ossible)g(to)h(measure)g(the)g Fx(R)2523 2119 y Fs(AA)2632 2092 y Fy(of)g(jets,)g(at)g(RHIC)g(and)f(no)m(w)0 2225 y(at)e(LHC)i([)376 2225 y SDict begin H.S end 376 2225 a 0 TeXcolorgray Fy(15)p 0 TeXcolorgray 473 2161 a SDict begin H.R end 473 2161 a 473 2225 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Caines:2011xp) cvn H.B /ANN pdfmark end 473 2225 a Fy(].)43 b(These)30 b(results)g(nicely)e(supplemen)m(t)h(hadron)g (pro)s(duction)f(data,)i(as)f(they)g(allo)m(w)f(for)0 2358 y(tracing)h(more)g(e\016cien)m(tly)h(the)h(dynamics)e(of)h(parton) f(energy)i(loss)f(and)g(induced)g(gluon)f(radiation)0 2491 y(in)j(a)h(medium)570 2491 y SDict begin H.S end 570 2491 a -36 x Fr(+)629 2491 y SDict begin 16 H.L end 629 2491 a 629 2491 a SDict begin [/Subtype /Link/Dest (Hfootnote.5) cvn/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Color [1 0 0] H.B /ANN pdfmark end 629 2491 a Fy(.)44 b(Although)33 b(energy)h(loss)e(pro)s(cesses)j(are)e(exp)s(ected)i(to)d(pla)m(y)h(an) g(imp)s(ortan)m(t)e(role)0 2623 y(in)40 b(the)g(quenc)m(hing)i(of)d (hadrons)i(and)g(jets,)h(other)f(e\013ects)h(could)d(actually)g (a\013ect)i Fx(R)3235 2650 y Fs(AA)3314 2623 y Fy(:)59 b(n)m(uclear)0 2756 y(PDF)42 b(\(nPDF\))g(and)h(saturation)f (e\013ects,)k(m)m(ultiple)41 b(scattering)h(in)g(n)m(uclei)g(and)h (recom)m(bination)0 2889 y(pro)s(cesses)e(in)d(QGP)-8 b(,)38 b(to)g(cite)g(a)h(few)g(examples.)61 b(Hop)s(efully)-8 b(,)39 b(most)f(of)g(these)i(pro)s(cesses)h(die)d(out)0 3022 y(at)31 b(transv)m(erse)j(momen)m(ta)d(at)g(whic)m(h)h(the)g(sole) f(e\013ects)i(of)e(parton)h(energy)g(loss)g(remain)e(visible.)42 b(It)0 3155 y(is)d(e.g.)63 b(the)40 b(case)g(of)f(nPDF)g(e\013ects)h (whic)m(h)g(b)s(ecome)f(small)e(at)i(large)f Fx(p)2744 3181 y Fw(?)2839 3155 y SDict begin H.S end 2839 3155 a -36 x Fv(\003)2893 3155 y SDict begin 16 H.L end 2893 3155 a 2893 3155 a SDict begin [/Subtype /Link/Dest (Hfootnote.6) cvn/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Color [1 0 0] H.B /ANN pdfmark end 2893 3155 a Fy(,)j(b)s(elo)m(w)e(20\045) g(ab)s(o)m(v)m(e)0 3288 y Fx(p)49 3314 y Fw(?)136 3288 y Ft(&)31 b Fy(10)j(GeV)g(according)f(to)h(EPS09)h([)1510 3288 y SDict begin H.S end 1510 3288 a 0 TeXcolorgray Fy(17)p 0 TeXcolorgray 1608 3223 a SDict begin H.R end 1608 3223 a 1608 3288 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Eskola:2009uj) cvn H.B /ANN pdfmark end 1608 3288 a Fy(].)48 b(In)35 b(order)f(to)g(disen)m(tangle)g(these)i(mec)m(hanisms,)e(it)g (is)0 3421 y(essen)m(tial)f(to)f(compare)g(systematically)f(hadron/jet) i(data)f(to)g(baseline)g(measuremen)m(ts:)p 0 TeXcolorgray 97 3603 a Fv(\017)p 0 TeXcolorgray 48 w Fm(Baseline)g(exp)-5 b(eriments)p Fy(,)30 b(t)m(ypically)f(deep)j(inelastic)d(scattering)i (in)f(n)m(uclei)g(\()p Fx(e)p Fy({A\))h(or)g(proton{)195 3736 y(n)m(ucleus)d(\()p Fx(p)p Fy({A\))f(collisions.)39 b(These)30 b(reactions)d(allo)m(w)e(for)i(probing)f(initial-state)e (e\013ects,)30 b(suc)m(h)195 3869 y(as)j(nPDF)f(e\013ects)i(or)e (parton)h(propagation)e(in)g(a)i(cold)f(medium;)p 0 TeXcolorgray 97 4027 a Fv(\017)p 0 TeXcolorgray 48 w Fm(Baseline)d(observables)35 b 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/Helvetica-Bold findfont 93 sf 0 0 m (PQM: q=30-80 GeV) show currentpoint pop 0 t /Helvetica-Bold findfont 65 sf 0 47 m (2) show currentpoint pop 0 t /Helvetica-Bold findfont 93 sf 0 0 m (/fm) show gr 2269 2269 340 340 C 2836 2836 0 0 C 2269 2269 340 340 C 2836 2836 0 0 C 1 0 0 c 668 1810 m -136 X s black gsave 770 1776 t 0 r 0 0 m /Helvetica-Bold findfont 93 sf 0 0 m (ASW \(Renk\)) show gr 2269 2269 340 340 C gr gr showpage end %%EndDocument @endspecial 0 TeXcolorgray 0 TeXcolorgray 598 2005 a FA(Figure)31 b(1.)1011 2005 y SDict begin H.S end 1011 2005 a 0 TeXcolorgray 0 TeXcolorgray 1011 2005 a SDict begin H.R end 1011 2005 a 1011 2005 a SDict begin [/View [/XYZ H.V]/Dest (figure.1) cvn /DEST pdfmark end 1011 2005 a Fz(R)1075 1975 y Fd(h)1074 2034 y Fc(AA)1169 2005 y FC(measured)c(b)n(y)g(CMS.)p 0 TeXcolorgray 0 TeXcolorgray 1911 1739 a @beginspecial 0 @llx 0 @lly 709 @urx 709 @ury 2267 @rwi 1927 @rhi @setspecial %%BeginDocument: figs/logr.eps 80 dict begin /s {stroke} def /l {lineto} def /m {moveto} def /t {translate} def /sw {stringwidth} def /r {rotate} def /rl {roll} def /R {repeat} def /d {rlineto} def /rm {rmoveto} def /gr {grestore} def /f {eofill} def /c {setrgbcolor} def /lw {setlinewidth} def /sd {setdash} def /cl {closepath} def /sf {scalefont setfont} def /black {0 setgray} def /box {m dup 0 exch d exch 0 d 0 exch neg d cl} def /NC{systemdict begin initclip end}def/C{NC box clip newpath}def /bl {box s} def /bf {box f} def /Y { 0 exch d} def /X { 0 d} def /mp {newpath /y exch def /x exch def} def /side {[w .77 mul w .23 mul] .385 w mul sd w 0 l currentpoint t -144 r} def /mr {mp x y w2 0 360 arc} def /m24 {mr s} def /m20 {mr f} def /mb {mp x y w2 add m w2 neg 0 d 0 w neg d w 0 d 0 w d cl} def /mt {mp x y w2 add m w2 neg w neg d w 0 d cl} def /m21 {mb f} def /m25 {mb s} def /m22 {mt f} def /m26 {mt s} def /m23 {mp x y w2 sub m w2 w d w neg 0 d cl f} def /m27 {mp x y w2 add m w3 neg w2 neg d w3 w2 neg d w3 w2 d cl s} def /m28 {mp x w2 sub y w2 sub w3 add m w3 0 d 0 w3 neg d w3 0 d 0 w3 d w3 0 d 0 w3 d w3 neg 0 d 0 w3 d w3 neg 0 d 0 w3 neg d w3 neg 0 d cl s } def /m29 {mp gsave x w2 sub y w2 add w3 sub m currentpoint t 4 {side} repeat cl fill gr} def /m30 {mp gsave x w2 sub y w2 add w3 sub m currentpoint t 5 {side} repeat s gr} def /m31 {mp x y w2 sub m 0 w d x w2 sub y m w 0 d x w2 sub y w2 add m w w neg d x w2 sub y w2 sub m w w d s} def /m2 {mp x y w2 sub m 0 w d x w2 sub y m w 0 d s} def /m5 {mp x w2 sub y w2 sub m w w d x w2 sub y w2 add m w w neg d s} def /reencdict 24 dict def /ReEncode {reencdict begin /nco&na exch def /nfnam exch def /basefontname exch def /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def basefontdict {exch dup /FID ne {dup /Encoding eq {exch dup length array copy newfont 3 1 roll put} {exch newfont 3 1 roll put} ifelse} {pop pop} ifelse } forall newfont /FontName nfnam put nco&na aload pop nco&na length 2 idiv {newfont /Encoding get 3 1 roll put} repeat nfnam newfont definefont pop end } def /accvec [ 176 /agrave 181 /Agrave 190 /acircumflex 192 /Acircumflex 201 /adieresis 204 /Adieresis 209 /ccedilla 210 /Ccedilla 211 /eacute 212 /Eacute 213 /egrave 214 /Egrave 215 /ecircumflex 216 /Ecircumflex 217 /edieresis 218 /Edieresis 219 /icircumflex 220 /Icircumflex 221 /idieresis 222 /Idieresis 223 /ntilde 224 /Ntilde 226 /ocircumflex 228 /Ocircumflex 229 /odieresis 230 /Odieresis 231 /ucircumflex 236 /Ucircumflex 237 /udieresis 238 /Udieresis 239 /aring 242 /Aring 243 /ydieresis 244 /Ydieresis 246 /aacute 247 /Aacute 252 /ugrave 253 /Ugrave] def /Times-Roman /Times-Roman accvec ReEncode /Times-Italic /Times-Italic accvec ReEncode /Times-Bold /Times-Bold accvec ReEncode /Times-BoldItalic /Times-BoldItalic accvec ReEncode /Helvetica /Helvetica accvec ReEncode /Helvetica-Oblique /Helvetica-Oblique accvec ReEncode /Helvetica-Bold /Helvetica-Bold accvec ReEncode /Helvetica-BoldOblique /Helvetica-BoldOblique accvec ReEncode /Courier /Courier accvec ReEncode /Courier-Oblique /Courier-Oblique accvec ReEncode /Courier-Bold /Courier-Bold accvec ReEncode /Courier-BoldOblique /Courier-BoldOblique accvec ReEncode /oshow {gsave [] 0 sd true charpath stroke gr} def /stwn { /fs exch def /fn exch def /text exch def fn findfont fs sf text sw pop xs add /xs exch def} def /stwb { /fs exch def /fn exch def /nbas exch def /textf exch def textf length /tlen exch def nbas tlen gt {/nbas tlen def} if fn findfont fs sf textf dup length nbas sub nbas getinterval sw pop neg xs add /xs exch def} def /accspe [ 65 /plusminus 66 /bar 67 /existential 68 /universal 69 /exclam 70 /numbersign 71 /greater 72 /question 73 /integral 74 /colon 75 /semicolon 76 /less 77 /bracketleft 78 /bracketright 79 /greaterequal 80 /braceleft 81 /braceright 82 /radical 83 /spade 84 /heart 85 /diamond 86 /club 87 /lessequal 88 /multiply 89 /percent 90 /infinity 48 /circlemultiply 49 /circleplus 50 /emptyset 51 /lozenge 52 /bullet 53 /arrowright 54 /arrowup 55 /arrowleft 56 /arrowdown 57 /arrowboth 48 /degree 44 /comma 43 /plus 45 /angle 42 /angleleft 47 /divide 61 /notequal 40 /equivalence 41 /second 97 /approxequal 98 /congruent 99 /perpendicular 100 /partialdiff 101 /florin 102 /intersection 103 /union 104 /propersuperset 105 /reflexsuperset 106 /notsubset 107 /propersubset 108 /reflexsubset 109 /element 110 /notelement 111 /gradient 112 /logicaland 113 /logicalor 114 /arrowdblboth 115 /arrowdblleft 116 /arrowdblup 117 /arrowdblright 118 /arrowdbldown 119 /ampersand 120 /omega1 121 /similar 122 /aleph ] def /Symbol /Special accspe ReEncode newpath gsave .25 .25 scale gsave 0 0 t black [] 0 sd 1 lw 2269 2269 340 340 bl 2836 2836 0 0 C 2269 2269 340 340 C NC 340 340 m 2269 Y s 374 340 m -34 X s 357 443 m -17 X s 357 547 m -17 X s 357 650 m -17 X s 357 753 m -17 X s 374 856 m -34 X s 357 959 m -17 X s 357 1062 m -17 X s 357 1165 m -17 X s 357 1268 m -17 X s 374 1372 m -34 X s 357 1475 m -17 X s 357 1578 m -17 X s 357 1681 m -17 X s 357 1784 m -17 X s 374 1887 m -34 X s 357 1990 m -17 X s 357 2093 m -17 X s 357 2197 m -17 X s 357 2300 m -17 X s 374 2403 m -34 X s 374 340 m -34 X s 374 2403 m -34 X s 357 2506 m -17 X s gsave 130 306 t 0 r 0 0 m /Helvetica-Bold findfont 93 sf 0 0 m (-0.05) show gr gsave 130 822 t 0 r 0 0 m /Helvetica-Bold findfont 93 sf 0 0 m (0) show gr gsave 130 1338 t 0 r 0 0 m /Helvetica-Bold findfont 93 sf 0 0 m (0.05) show gr gsave 130 1853 t 0 r 0 0 m /Helvetica-Bold findfont 93 sf 0 0 m (0.1) show gr gsave 130 2369 t 0 r 0 0 m /Helvetica-Bold findfont 93 sf 0 0 m (0.15) show gr 340 340 m 2269 X s 457 357 m -17 Y s 552 357 m -17 Y s 632 357 m -17 Y s 702 357 m -17 Y s 763 357 m -17 Y s 818 374 m -34 Y s /xs 0 def (10) /Helvetica-Bold 93 stwn gsave 818 188 t 0 r xs 2 div neg 0 t 0 0 m /Helvetica-Bold findfont 93 sf 0 0 m (10) show gr 1180 357 m -17 Y s 1391 357 m -17 Y s 1541 357 m -17 Y s 1658 357 m -17 Y s 1753 357 m -17 Y s 1833 357 m -17 Y s 1903 357 m -17 Y s 1964 357 m -17 Y s 2019 374 m -34 Y s /xs 0 def (10) /Helvetica-Bold 93 stwn gsave 2019 188 t 0 r xs 2 div neg 0 t 0 0 m /Helvetica-Bold findfont 93 sf 0 0 m (10) show gr /xs 0 def (2) /Helvetica-Bold 75 stwn gsave 2104 256 t 0 r xs 2 div neg 0 t 0 0 m /Helvetica-Bold findfont 75 sf 0 0 m (2) show gr 2381 357 m -17 Y s 2592 357 m -17 Y s 2269 2269 340 340 C NC 2609 340 m 2269 Y s 2575 340 m 34 X s 2592 443 m 17 X s 2592 547 m 17 X s 2592 650 m 17 X s 2592 753 m 17 X s 2575 856 m 34 X s 2592 959 m 17 X s 2592 1062 m 17 X s 2592 1165 m 17 X s 2592 1268 m 17 X s 2575 1372 m 34 X s 2592 1475 m 17 X s 2592 1578 m 17 X s 2592 1681 m 17 X s 2592 1784 m 17 X s 2575 1887 m 34 X s 2592 1990 m 17 X s 2592 2093 m 17 X s 2592 2197 m 17 X s 2592 2300 m 17 X s 2575 2403 m 34 X s 2575 340 m 34 X s 2575 2403 m 34 X s 2592 2506 m 17 X s 340 2609 m 2269 X s 457 2592 m 17 Y s 552 2592 m 17 Y s 632 2592 m 17 Y s 702 2592 m 17 Y s 763 2592 m 17 Y s 818 2575 m 34 Y s 1180 2592 m 17 Y s 1391 2592 m 17 Y s 1541 2592 m 17 Y s 1658 2592 m 17 Y s 1753 2592 m 17 Y s 1833 2592 m 17 Y s 1903 2592 m 17 Y s 1964 2592 m 17 Y s 2019 2575 m 34 Y s 2381 2592 m 17 Y s 2592 2592 m 17 Y s 2269 2269 340 340 C [] 0 sd 4 lw 516 -520 m 116 Y s 490 -404 m 51 X s [] 0 sd 1 0 0 c /w 51 def /w2 {w 2 div} def /w3 {w 3 div} def [] 0 sd black 585 495 m 173 Y s 585 719 m 172 Y s 560 495 m 51 X s 560 891 m 51 X s [] 0 sd 1 0 0 c 585 693 m20 [] 0 sd black 675 1444 m 82 Y s 675 1577 m 83 Y s 650 1444 m 51 X s 650 1660 m 51 X s [] 0 sd 1 0 0 c 675 1552 m20 [] 0 sd black 797 1450 m 71 Y s 797 1572 m 71 Y s 771 1450 m 51 X s 771 1643 m 51 X s [] 0 sd 1 0 0 c 797 1546 m20 [] 0 sd black 913 1564 m 128 Y s 913 1743 m 129 Y s 888 1564 m 51 X s 888 1872 m 51 X s [] 0 sd 1 0 0 c 913 1718 m20 [] 0 sd black 1030 1304 m 109 Y s 1030 1464 m 110 Y s 1004 1304 m 51 X s 1004 1574 m 51 X s [] 0 sd 1 0 0 c 1030 1439 m20 [] 0 sd black 1158 1207 m 124 Y s 1158 1382 m 123 Y s 1133 1207 m 51 X s 1133 1505 m 51 X s [] 0 sd 1 0 0 c 1158 1356 m20 [] 0 sd black 1275 1136 m 200 Y s 1275 1387 m 200 Y s 1249 1136 m 51 X s 1249 1587 m 51 X s [] 0 sd 1 0 0 c 1275 1362 m20 [] 0 sd black 1377 672 m 238 Y s 1377 961 m 237 Y s 1352 672 m 51 X s 1352 1198 m 51 X s [] 0 sd 1 0 0 c 1377 935 m20 [] 0 sd black 1475 440 m 281 Y s 1475 772 m 281 Y s 1449 440 m 51 X s 1449 1053 m 51 X s [] 0 sd 1 0 0 c 1475 746 m20 [] 0 sd black 1562 616 m 385 Y s 1562 1052 m 385 Y s 1536 616 m 51 X s 1536 1437 m 51 X s [] 0 sd 1 0 0 c 1562 1026 m20 [] 0 sd black 1653 661 m 237 Y s 1653 950 m 237 Y s 1628 661 m 51 X s 1628 1187 m 51 X s [] 0 sd 1 0 0 c 1653 924 m20 [] 0 sd black 1760 428 m 179 Y s 1760 658 m 179 Y s 1734 428 m 51 X s 1734 837 m 51 X s [] 0 sd 1 0 0 c 1760 633 m20 [] 0 sd black 1859 944 m 260 Y s 1859 1255 m 260 Y s 1834 944 m 51 X s 1834 1515 m 51 X s [] 0 sd 1 0 0 c 1859 1229 m20 [] 0 sd black 1949 349 m 342 Y s 1949 742 m 342 Y s 1924 349 m 51 X s 1924 1084 m 51 X s [] 0 sd 1 0 0 c 1949 716 m20 [] 0 sd 7 lw 733 1408 m 49 -41 d 50 -39 d 50 -38 d 47 -34 d 44 -31 d 51 -36 d 35 -25 d 26 -16 d 19 -10 d 17 -9 d 16 -6 d 12 -3 d 14 -2 d 52 X 15 -1 d 11 -2 d 10 -4 d 11 -5 d 9 -7 d 91 -92 d 10 -4 d 12 -3 d 15 -1 d 35 1 d 13 -1 d 30 -5 d 42 -10 d 42 -9 d 17 -5 d 5 -2 d 56 -29 d 10 -1 d 13 1 d 18 3 d 10 X 11 -2 d 35 -12 d 1 X 11 -1 d 25 2 d 7 X 31 -7 d 8 -2 d 28 X 8 -1 d 1 X 7 -3 d 24 -15 d 3 -1 d 6 X 11 2 d 10 3 d 6 X 6 -2 d 23 -13 d 1 X 6 -1 d 9 2 d 12 2 d 1 1 d 17 -1 d 11 -1 d 25 -5 d 6 1 d 13 6 d 6 1 d 24 -11 d 8 -2 d 14 -1 d 22 -2 d 15 X 5 -2 d 20 -14 d 4 1 d 5 3 d 8 6 d 2 1 d 6 X 13 -2 d 18 -1 d 14 X 3 -1 d 17 -6 d 4 X 11 3 d 17 X 15 -1 d 15 -4 d 4 1 d 6 2 d 2 X 2 -1 d 14 -26 d 1 2 d 2 4 d 2 7 d 2 14 d 3 12 d 1 5 d 1 3 d 2 2 d 2 1 d 2 -2 d 2 -3 d 3 -5 d 2 -6 d 1 -8 d 1 -2 d s 0 0 1 c 573 921 m 8 36 d 8 33 d 8 32 d 8 30 d 8 29 d 8 27 d 9 27 d 8 25 d 9 24 d 9 24 d 9 22 d 10 21 d 11 22 d 9 18 d 10 16 d 10 15 d 11 15 d 9 11 d 10 10 d 4 2 d 7 7 d 8 4 d 9 4 d 9 2 d 21 X 12 -3 d 18 -7 d 47 -19 d 16 -6 d 20 -9 d 23 -12 d 32 -19 d 13 -8 d 87 -63 d 42 -29 d 33 -21 d 40 -24 d 47 -27 d 63 -33 d 58 -29 d 48 -22 d 50 -22 d 20 -9 d 50 -19 d 52 -20 d 29 -9 d 47 -16 d 47 -14 d 10 -2 d 43 -11 d 44 -10 d 39 -7 d 36 -6 d 65 -11 d 58 -13 d 19 -3 d 69 -5 d 105 -14 d 40 -2 d 47 -2 d 75 -2 d 65 -1 d 58 -2 d 23 2 d 23 1 d 27 X 23 -3 d 4 X s 573 630 m 8 50 d 9 47 d 8 45 d 9 44 d 9 41 d 9 41 d 9 39 d 9 38 d 10 36 d 10 36 d 10 33 d 11 34 d 10 28 d 11 27 d 10 26 d 11 25 d 10 20 d 13 21 d 8 13 d 9 12 d 10 10 d 10 9 d 11 8 d 13 6 d 12 4 d 15 2 d 43 3 d 16 X 15 -3 d 19 -5 d 26 -10 d 28 -13 d 24 -11 d 63 -37 d 75 -42 d 76 -40 d 74 -37 d 101 -49 d 75 -34 d 83 -37 d 48 -19 d 54 -20 d 50 -17 d 57 -16 d 30 -9 d 75 -17 d 65 -14 d 58 -12 d 57 -8 d 31 -4 d 105 -15 d 66 -6 d 21 -2 d 62 -3 d 13 -1 d 65 1 d 58 -2 d 52 2 d 40 -1 d 8 -1 d s 0 0.8 1 c 945 1057 m 416 -72 d 211 -37 d 17 -2 d 98 -16 d 60 -9 d 61 -9 d 60 -8 d 58 -6 d 40 -5 d 56 -6 d 27 -2 d 55 -5 d 16 -1 d 63 -4 d 56 -4 d 51 -2 d 46 -2 d 42 -2 d 39 -2 d 37 -2 d 34 -2 d 24 -3 d 8 -1 d 19 -3 d 11 -1 d 18 -4 d 10 -2 d s 945 1061 m 249 -46 d 167 -30 d 193 -35 d 35 -6 d 91 -15 d 67 -10 d 58 -9 d 63 -8 d 55 -7 d 43 -4 d 54 -6 d 29 -2 d 53 -4 d 18 -2 d 55 -3 d 8 X 56 -3 d 51 -2 d 46 -2 d 42 -1 d 39 -2 d 31 -2 d 6 -1 d 24 -2 d 10 -1 d 20 -3 d 12 -2 d 18 -3 d 12 -3 d 14 -4 d 14 -4 d s 0.2 1 0 c 632 1783 m 102 -112 d 99 -107 d 80 -85 d 125 -131 d 39 -39 d 18 -16 d 48 -43 d 46 -37 d 40 -32 d 46 -33 d 48 -32 d 13 -8 d 47 -28 d 42 -23 d 52 -25 d 24 -11 d 53 -23 d 13 -5 d 58 -21 d 53 -17 d 48 -13 d 44 -11 d 40 -9 d 38 -7 d 35 -7 d 33 -5 d 30 -4 d 30 -4 d 27 -4 d 26 -3 d s 632 1688 m 52 -32 d 53 -34 d 58 -40 d 50 -38 d 53 -41 d 15 -13 d 38 -32 d 144 -132 d 65 -55 d 53 -41 d 16 -13 d 49 -35 d 47 -33 d 11 -7 d 47 -29 d 42 -24 d 51 -27 d 25 -13 d 52 -24 d 14 -6 d 58 -24 d 53 -19 d 48 -16 d 44 -12 d 40 -11 d 38 -8 d 35 -8 d 33 -6 d 30 -6 d 30 -5 d 27 -4 d 26 -4 d s 2836 2836 0 0 C 2269 2269 340 340 C 2836 2836 0 0 C 2269 2269 340 340 C 2836 2836 0 0 C [12 15 4 15] 0 sd 4 lw black 340 856 m 2269 X s 2269 2269 340 340 C 2836 2836 0 0 C /xs 0 def (p) /Helvetica-Bold 109 stwn (\136) /Special 76 stwn ( \(GeV\)) /Helvetica-Bold 109 stwn gsave 2609 79 t 0 r xs neg 0 t 0 0 m /Helvetica-Bold findfont 109 sf 0 0 m (p) show currentpoint pop 0 t /Special findfont 76 sf 0 -36 m (\136) show currentpoint pop 0 t /Helvetica-Bold findfont 109 sf 0 0 m ( \(GeV\)) show gr /xs 0 def (R' / R \(GeV) /Helvetica-Bold 109 stwn (-1) /Helvetica-Bold 76 stwn (\)) /Helvetica-Bold 109 stwn gsave 96 2609 t 90 r xs neg 0 t 0 0 m /Helvetica-Bold findfont 109 sf 0 0 m (R' / R \(GeV) show currentpoint pop 0 t /Helvetica-Bold findfont 76 sf 0 55 m (-1) show currentpoint pop 0 t /Helvetica-Bold findfont 109 sf 0 0 m (\)) show gr 2269 2269 340 340 C 2836 2836 0 0 C 2269 2269 340 340 C 2836 2836 0 0 C 2 lw [] 0 sd 1 0 0 c 594 2454 m20 black gsave 696 2420 t 0 r 0 0 m /Helvetica-Bold findfont 93 sf 0 0 m (CMS PRELIMINARY) show gr 2269 2269 340 340 C 2836 2836 0 0 C 2269 2269 340 340 C 2836 2836 0 0 C 10 lw 0 0 1 c 668 2300 m -159 X s black gsave 770 2266 t 0 r 0 0 m /Helvetica-Bold findfont 93 sf 0 0 m (GLV: dN) show currentpoint pop 0 t /Helvetica-Bold findfont 65 sf 0 -31 m (g) show currentpoint pop 0 t /Helvetica-Bold findfont 93 sf 0 0 m (/dy=2000-4000) show gr 2269 2269 340 340 C 2836 2836 0 0 C 2269 2269 340 340 C 2836 2836 0 0 C 0.2 1 0 c 668 2176 m -159 X s black gsave 770 2142 t 0 r 0 0 m /Helvetica-Bold findfont 93 sf 0 0 m (WHDG) show gr 2269 2269 340 340 C 2836 2836 0 0 C 2269 2269 340 340 C 2836 2836 0 0 C 0 0.8 1 c 668 2052 m -159 X s black gsave 770 2018 t 0 r 0 0 m /Helvetica-Bold findfont 93 sf 0 0 m (PQM: q=30-80 GeV) show currentpoint pop 0 t /Helvetica-Bold findfont 65 sf 0 47 m (2) show currentpoint pop 0 t /Helvetica-Bold findfont 93 sf 0 0 m (/fm) show gr 2269 2269 340 340 C 2836 2836 0 0 C 2269 2269 340 340 C 2836 2836 0 0 C 1 0 0 c 668 1928 m -159 X s black gsave 770 1894 t 0 r 0 0 m /Helvetica-Bold findfont 93 sf 0 0 m (ASW \(Renk\)) show gr 2269 2269 340 340 C gr gr showpage end %%EndDocument @endspecial 0 TeXcolorgray 0 TeXcolorgray 2509 2005 a FA(Figure)f(2.)2916 2005 y SDict begin H.S end 2916 2005 a 0 TeXcolorgray 0 TeXcolorgray 2916 2005 a SDict begin H.R end 2916 2005 a 2916 2005 a SDict begin [/View [/XYZ H.V]/Dest (figure.2) cvn /DEST pdfmark end 2916 2005 a Fz(R)2980 1975 y Fb(0)2979 2034 y Fc(log)3065 2005 y FC(extracted)c(from)h(CMS)2509 2113 y(data.)p 0 TeXcolorgray 0 2412 a Fy(In)38 b(Fig.)331 2412 y SDict begin H.S end 331 2412 a 0 TeXcolorgray Fy(1)p 0 TeXcolorgray 379 2347 a SDict begin H.R end 379 2347 a 379 2412 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (figure.1) cvn H.B /ANN pdfmark end 379 2412 a 38 w Fy(are)f(compared)g(the)h (preliminary)d(CMS)j(data)f([)2239 2412 y SDict begin H.S end 2239 2412 a 0 TeXcolorgray Fy(5)p 0 TeXcolorgray 2288 2347 a SDict begin H.R end 2288 2347 a 2288 2412 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Lee:2011cs) cvn H.B /ANN pdfmark end 2288 2412 a Fy(])g(with)g(v)-5 b(arious)37 b(mo)s(del)e(predictions,)0 2544 y(either)64 b(based)i(on)e(BDMPS-ASW)h (\(PQM)g([)1818 2544 y SDict begin H.S end 1818 2544 a 0 TeXcolorgray Fy(23)p 0 TeXcolorgray 1916 2480 a SDict begin H.R end 1916 2480 a 1916 2544 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Dainese:2004te) cvn H.B /ANN pdfmark end 1916 2544 a Fy(])f(&)g(Renk)i([)2460 2544 y SDict begin H.S end 2460 2544 a 0 TeXcolorgray Fy(24)p 0 TeXcolorgray 2557 2480 a SDict begin H.R end 2557 2480 a 2557 2544 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Renk:2011gj) cvn H.B /ANN pdfmark end 2557 2544 a Fy(]\))f(or)f(DGL)-11 b(V)63 b(\(GL)-11 b(V)64 b([)3505 2544 y SDict begin H.S end 3505 2544 a 0 TeXcolorgray Fy(25)p 0 TeXcolorgray 3603 2480 a SDict begin H.R end 3603 2480 a 3603 2544 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Vitev:2002pf) cvn H.B /ANN pdfmark end 3603 2544 a Fy(]&)0 2677 y(WHDG)23 b([)375 2677 y SDict begin H.S end 375 2677 a 0 TeXcolorgray Fy(20)p 0 TeXcolorgray 472 2613 a SDict begin H.R end 472 2613 a 472 2677 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Horowitz:2011gd) cvn H.B /ANN pdfmark end 472 2677 a Fy(]\))h(framew)m(orks)1070 2677 y SDict begin H.S end 1070 2677 a Fv({)1131 2677 y SDict begin 16 H.L end 1131 2677 a 1131 2677 a SDict begin [/Subtype /Link/Dest (Hfootnote.12) cvn/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Color [1 0 0] H.B /ANN pdfmark end 1131 2677 a Fy(.)40 b(The)25 b(bands)f(indicate)e(the)i (uncertain)m(ties)g(coming)e(from)g(the)i(initial)0 2810 y(particle)33 b(densit)m(y)j(assumed)g(in)e(eac)m(h)h(mo)s(del.)49 b(Apart)34 b(from)g(PQM,)h(the)g(v)-5 b(arious)34 b(mo)s(dels)g (predict)0 2943 y(a)g(rising)e Fx(R)424 2970 y Fs(AA)537 2943 y Fy(with)i Fx(p)810 2970 y Fw(?)900 2943 y Fy(in)f(qualitativ)m (e)g(agreemen)m(t)h(with)f(data.)48 b(Ev)m(en)35 b(though)f(GL)-11 b(V)34 b(&)g(WHDG)0 3076 y(calculations)29 b(b)s(est)i(repro)s(duce)g (the)g(magnitude)f(of)g(the)h(data,)f(no)h(premature)f(conclusion)g (should)0 3209 y(b)s(e)38 b(dra)m(wn)g(at)f(this)g(stage)h(regarding)f (the)h(other)g(t)m(w)m(o)g(predictions.)58 b(As)38 b(men)m(tioned)f (previously)-8 b(,)0 3341 y(the)42 b Fx(p)226 3368 y Fw(?)324 3341 y Fm(slop)-5 b(e)49 b Fy(of)41 b Fx(R)772 3368 y Fs(AA)893 3341 y Fy(at)h(the)g(LHC)g(o\013ers)h(an)f(in)m (teresting)f(p)s(ossibilit)m(y)f(to)h(prob)s(e)h(energy)h(loss)0 3474 y(pro)s(cesses.)75 b(On)43 b(the)g(con)m(trary)-8 b(,)46 b(the)c Fm(magnitude)50 b Fy(of)42 b Fx(R)2123 3501 y Fs(AA)2244 3474 y Fy(is)g(useful)h(in)f(order)g(to)h(calibrate)e (the)0 3607 y(strength)c(of)e(energy)j(loss)d(in)h(the)g(medium.)53 b(F)-8 b(or)35 b(this)h(reason,)h(it)e(migh)m(t)g(b)s(e)h(w)m(orth)h (considering)0 3740 y(also)32 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H.R end 1128 4252 a 1128 4316 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (figure.2) cvn H.B /ANN pdfmark end 1128 4316 a Fy(,)i(where)f Fx(R)1537 4280 y Fl(0)1536 4353 y Fs(log)1639 4316 y Fy(has)g(b)s(een)g(extracted)h(from)d(b)s(oth)h(data)g(and)h(theory) 3620 4316 y SDict begin H.S end 3620 4316 a -36 x Fr(+)3679 4316 y SDict begin 16 H.L end 3679 4316 a 3679 4316 a SDict begin [/Subtype /Link/Dest (Hfootnote.13) cvn/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Color [1 0 0] H.B /ANN pdfmark end 3679 4316 a Fy(.)0 4449 y(Remark)-5 b(ably)d(,)43 b(the)f(theoretical)e(uncertain)m(ties)i(shrink)g(since)g(the)g(bands)g (in)f(Fig.)3181 4449 y SDict begin H.S end 3181 4449 a 0 TeXcolorgray Fy(1)p 0 TeXcolorgray 3230 4385 a SDict begin H.R end 3230 4385 a 3230 4449 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (figure.1) cvn H.B /ANN pdfmark end 3230 4449 a 41 w 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