%!PS-Adobe-2.0 %%Creator: dvips(k) 5.95a Copyright 2005 Radical Eye Software %%Title: arXiv:hep-lat/0701012v2 18 Jan 2007 %%Pages: 17 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentFonts: CMR10 CMMI10 CMR7 CMR12 CMMI12 CMR8 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -R -P pk -K1 -z paper.dvi -o %DVIPSParameters: dpi=600, compressed, comments removed %DVIPSSource: TeX output 2017.07.01:2330 %%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 round 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FA(\))3381 2386 y FB(,)454 2537 y(V.)37 b(Gimenez)1035 2500 y FA(\()p Fz(d)p FA(\))1129 2537 y FB(,)h(G.)f(Herdoiza)1793 2500 y FA(\()p Fz(b)p FA(\))1882 2537 y FB(,)g(K.)h(Jansen)2438 2500 y FA(\()p Fz(e)p FA(\))2531 2537 y FB(,)f(V.)g(Lubicz)3075 2500 y FA(\()p Fz(f)7 b FA(\))3175 2537 y FB(,)386 2687 y(G.)38 b(Martinelli)1034 2651 y FA(\()p Fz(g)r FA(\))1126 2687 y FB(,)f(C.)h(McNeile)1754 2651 y FA(\()p Fz(h)p FA(\))1852 2687 y FB(,)f(C.)h(Mic)m(hael)2454 2651 y FA(\()p Fz(h)p FA(\))2552 2687 y FB(,)g(I.)f(Mon)m(tv)-6 b(a)m(y)3159 2651 y FA(\()p Fz(i)p FA(\))3243 2687 y FB(,)385 2838 y(D.)38 b(P)m(alao)810 2802 y FA(\()p Fz(d)p FA(\))905 2838 y FB(,)f(M.)h(P)m(apin)m(utto)1635 2802 y FA(\()p Fz(f)7 b FA(\))1734 2838 y FB(,)38 b(J.)f(Pic)m(k)-6 b(a)m(v)g(ance)2459 2802 y FA(\()p Fz(h)p FA(\))2558 2838 y FB(,)38 b(G.C.)f(Rossi)3155 2802 y FA(\()p Fz(b)p FA(\))3244 2838 y FB(,)147 2989 y(L.)h(Scorzato)701 2952 y FA(\()p Fz(j)t FA(\))792 2989 y FB(,)f(A.)g(Shindler)1422 2952 y FA(\()p Fz(e)p FA(\))1513 2989 y FB(,)h(S.)g(Sim)m(ula)2046 2952 y FA(\()p Fz(f)7 b FA(\))2145 2989 y FB(,)37 b(C.)g(Urbac)m(h)2719 2952 y FA(\()p Fz(h)p FA(\))2820 2989 y FB(,)g(U.)h(W)-9 b(enger)3416 2952 y FA(\()p Fz(k)r FA(\))p Black Black 487 3204 a Fy(\()p Fx(a)p Fy(\))606 3234 y Fw(Lab)r(oratoire)26 b(de)h(Ph)n(ysique)g(Th)n(\023)-39 b(eorique)25 b(\(B^)-42 b(at.)28 b(210\),)f(Univ)n(ersit)n(\023)-39 b(e)26 b(de)h(P)n(aris)f (XI,)1036 3334 y(Cen)n(tre)h(d'Orsa)n(y)-7 b(,)26 b(91405)f(Orsa)n (y-Cedex,)g(F)-7 b(rance)198 3451 y Fy(\()p Fx(b)p Fy(\))311 3481 y Fw(Dip.)37 b(di)28 b(Fisica,)g(Univ)n(ersit\022)-42 b(a)26 b(di)i(Roma)f(T)-7 b(or)27 b(V)-7 b(ergata)26 b(and)h(INFN,)i(Sez.)37 b(di)28 b(Roma)f(T)-7 b(or)26 b(V)-7 b(ergata,)933 3580 y(Via)27 b(della)h(Ricerca)e(Scien)n (ti\014ca,)i(I-00133)c(Roma,)k(Italy)786 3697 y Fy(\()p Fx(c)p Fy(\))900 3727 y Fw(Univ)n(ersit\177)-42 b(at)27 b(M)r(\177)-44 b(unster,)27 b(Institut)i(f)r(\177)-44 b(ur)27 b(Theoretisc)n(he)g(Ph)n(ysik,)824 3827 y 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1817 a SDict begin [/View [/XYZ H.V]/Dest (section.1) cvn /DEST pdfmark end 120 1817 a 183 x Fq(1)161 b(In)l(tro)t(duction)120 2219 y FD(The)46 b(Wilson)d(t)m(wisted)j(mass)f(form)m(ulation)d(of)i(lattice) f(QCD,)i(though)g(a)g(rather)g(recen)m(t)120 2339 y(approac)m(h,)j(has) d(b)s(een)g(b)m(y)g(no)m(w)g(w)m(ell)f(established.)79 b(It)44 b(amoun)m(ts)h(to)f(adding)f(a)h(t)m(wisted)120 2460 y(mass)g(term)f(to)h(the)g(standard,)j(un-impro)m(v)m(ed)d (Wilson-Dirac)d(op)s(erator)i([)2986 2460 y SDict begin H.S end 2986 2460 a Black FD(1)p Black 3035 2396 a SDict begin H.R end 3035 2396 a 3035 2460 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Wilson:1974sk) cvn H.B /ANN pdfmark end 3035 2460 a FD(])h(leading)e(to)120 2580 y(so-called)31 b(Wilson)h(t)m(wisted)h(mass)f(fermions)g([)1844 2580 y SDict begin H.S end 1844 2580 a Black FD(2)p Black 1893 2516 a SDict begin H.R end 1893 2516 a 1893 2580 a SDict begin [/Color [0 1 0]/H 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b(op)s(erator-sp)s(eci\014c)f(impro)m(v)m (emen)m(t-co)s(e\016cien)m(ts;)k(\(ii\))23 b(the)j(mixing)c(pattern)k (in)e(the)h(renor-)120 3303 y(malisation)k(pro)s(cess)k(can)g(b)s(e)g (signi\014can)m(tly)e(simpli\014ed;)f(\(iii\))g(the)j(t)m(wisted)g (mass)f(pro)m(vides)120 3423 y(an)37 b(infra-red)e(regulator)h(helping) f(to)i(o)m(v)m(ercome)g(p)s(ossible)g(problems)f(with)g(ergo)s(dicit)m (y)g(in)120 3543 y(molecular)30 b(dynamics)j(based)g(algorithms)1720 3543 y SDict begin H.S end 1720 3543 a -36 x FA(1)1757 3543 y SDict begin 14.5 H.L end 1757 3543 a 1757 3543 a SDict begin [/Subtype /Link/Dest (Hfootnote.1) cvn/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Color [1 0 0] H.B /ANN pdfmark end 1757 3543 a FD(.)266 3664 y(In)42 b(the)f Fn(quenche)-5 b(d)41 b(appr)-5 b(oximation)p FD(,)42 b(these)g(exp)s(ectations)g({)e(based)i(on)f(general)f(\014eld)120 3784 y(theoretical)29 b(and)h(c)m(hiral)e(p)s(erturbation)h(theory)i (\()p Fo(\037)p FD(PT\))f(related)g(argumen)m(ts)g([)3050 3784 y SDict begin H.S end 3050 3784 a Black FD(2)p Black 3098 3720 a SDict begin H.R end 3098 3720 a 3098 3784 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2000nk) cvn H.B /ANN pdfmark end 3098 3784 a FD(,)3155 3784 y SDict begin H.S end 3155 3784 a Black FD(3)p Black 3204 3720 a SDict begin H.R end 3204 3720 a 3204 3784 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2003ni) cvn H.B /ANN pdfmark end 3204 3784 a FD(,)3261 3784 y SDict begin H.S end 3261 3784 a Black FD(11)p Black 3358 3720 a SDict begin H.R end 3358 3720 a 3358 3784 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2004wz) cvn H.B /ANN pdfmark end 3358 3784 a FD(,)3415 3784 y SDict begin H.S end 3415 3784 a Black FD(12)p Black 3513 3720 a SDict begin H.R end 3513 3720 a 3513 3784 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2005gi) cvn H.B /ANN pdfmark end 3513 3784 a FD(,)120 3904 y SDict begin H.S end 120 3904 a Black FD(13)p Black 218 3840 a SDict begin H.R end 218 3840 a 218 3904 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Sharpe:2004ny) cvn H.B /ANN pdfmark end 218 3904 a FD(,)286 3904 y SDict begin H.S end 286 3904 a Black FD(14)p Black 383 3840 a SDict begin H.R end 383 3840 a 383 3904 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Sharpe:2005rq) cvn H.B /ANN pdfmark end 383 3904 a FD(,)451 3904 y SDict begin H.S end 451 3904 a Black FD(15)p Black 549 3840 a SDict begin H.R end 549 3840 a 549 3904 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Aoki:2004ta) cvn H.B /ANN pdfmark end 549 3904 a FD(])41 b({)g(could)g(b)s(e)g(v)m(eri\014ed)h(in)e(actual)h(sim)m(ulations)d([) 2439 3904 y SDict begin H.S end 2439 3904 a Black FD(16)p Black 2537 3840 a SDict begin H.R end 2537 3840 a 2537 3904 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Jansen:2003ir) cvn H.B /ANN pdfmark end 2537 3904 a FD(,)2605 3904 y SDict begin H.S end 2605 3904 a Black FD(17)p Black 2703 3840 a SDict begin H.R end 2703 3840 a 2703 3904 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Jansen:2005gf) cvn H.B /ANN pdfmark end 2703 3904 a FD(,)2771 3904 y SDict begin H.S end 2771 3904 a Black FD(18)p Black 2868 3840 a SDict begin H.R end 2868 3840 a 2868 3904 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Jansen:2005kk) cvn H.B /ANN pdfmark end 2868 3904 a FD(,)2937 3904 y SDict begin H.S end 2937 3904 a Black FD(19)p Black 3034 3840 a SDict begin H.R end 3034 3840 a 3034 3904 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Abdel-Rehim:2005gz) cvn H.B /ANN pdfmark end 3034 3904 a FD(]:)61 b Fp(O)s FD(\()p Fo(a)p FD(\))41 b(im-)120 4025 y(pro)m(v)m(emen)m(t)36 b(is)e(indeed)h(realised)f(when)i(the)g(theory) f(is)f(tuned)i(to)e(maximal)e(t)m(wist.)50 b(More-)120 4145 y(o)m(v)m(er,)35 b(it)d(has)i(b)s(een)h(sho)m(wn)f(that)g(a)f (particular)f(realisation)f(of)i(maximal)d(t)m(wist,)k(requiring)120 4266 y(parit)m(y)44 b(restoration,)h(also)e(suppresses)k(the)e Fp(O)s FD(\()p Fo(a)1996 4229 y FA(2)2035 4266 y FD(\))f(cut-o\013)g (e\013ects)h(substan)m(tially)-8 b(,)45 b(ev)m(en)120 4386 y(at)50 b(small)e(quark)j(masses)g(corresp)s(onding)f(to)g(v)-5 b(alues)50 b(of)g(the)g(pseudo)i(scalar)d(mass)h(of)120 4506 y Fo(m)205 4521 y FA(PS)338 4506 y Fm(.)42 b FD(300MeV.)e(In)h (addition,)g(with)f(the)h(t)m(wisted)g(mass)g(parameter)f(as)h(an)f (infra-red)120 4627 y(cut-o\013)30 b(in)g(place,)h(substan)m(tially)e (smaller)g(quark)i(masses)h(could)e(b)s(e)h(obtained,)f(compared)120 4747 y(to)46 b(those)i(reac)m(hable)f(b)m(y)g(standard)g(or)g Fp(O)s FD(\()p Fo(a)p FD(\))f(impro)m(v)m(ed)h(Wilson)e(fermions)h (whic)m(h)h(are)120 4868 y(plagued)29 b(b)m(y)h(so-called)e (exceptional)g(con\014guration)h(problems)f(in)g(the)i(quenc)m(hed)i (appro)m(x-)120 4988 y(imation.)43 b(In)33 b(Refs.)h([)911 4988 y SDict begin H.S end 911 4988 a Black FD(20)p Black 1009 4924 a SDict begin H.R end 1009 4924 a 1009 4988 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Pena:2004gb) cvn H.B /ANN pdfmark end 1009 4988 a FD(,)1069 4988 y SDict begin H.S end 1069 4988 a Black FD(21)p Black 1167 4924 a SDict begin H.R end 1167 4924 a 1167 4988 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Guagnelli:2005zc) cvn H.B /ANN pdfmark end 1167 4988 a FD(,)1227 4988 y SDict begin H.S end 1227 4988 a Black FD(22)p Black 1324 4924 a SDict begin H.R end 1324 4924 a 1324 4988 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Dimopoulos:2006dm) cvn H.B /ANN pdfmark end 1324 4988 a FD(])g(it)e(w)m(as)i(sho)m(wn)h(that)e(\\wrong)g(c)m(hiralit)m (y")e(mixing)h(e\013ects)p Black 120 5073 1368 4 v 232 5134 a Fy(1)269 5164 y SDict begin H.S end 269 5164 a Black Black 269 5164 a SDict begin H.R end 269 5164 a 269 5164 a SDict begin [/View [/XYZ H.V]/Dest (Hfootnote.1) cvn /DEST pdfmark end 269 5164 a Fw(Although)37 b(in)f(the)h(ligh)n (t)e(of)h(recen)n(t)g(algorithmic)f(dev)n(elopmen)n(ts)g([)2453 5164 y SDict begin H.S end 2453 5164 a Black Fw(4)p Black 2495 5110 a SDict begin H.R end 2495 5110 a 2495 5164 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Hasenbusch:2001ne) cvn H.B /ANN pdfmark end 2495 5164 a Fw(,)2554 5164 y SDict begin H.S end 2554 5164 a Black Fw(5)p Black 2596 5110 a SDict begin H.R end 2596 5110 a 2596 5164 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Peardon:2002wb) cvn H.B /ANN pdfmark end 2596 5164 a Fw(,)2655 5164 y SDict begin H.S end 2655 5164 a Black Fw(6)p Black 2696 5110 a SDict begin H.R end 2696 5110 a 2696 5164 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.AliKhan:2003br) cvn H.B /ANN pdfmark end 2696 5164 a Fw(,)2756 5164 y SDict begin H.S end 2756 5164 a Black Fw(7)p Black 2797 5110 a SDict begin H.R end 2797 5110 a 2797 5164 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Luscher:2004rx) cvn H.B /ANN pdfmark end 2797 5164 a Fw(,)2856 5164 y SDict begin H.S end 2856 5164 a Black Fw(8)p Black 2898 5110 a SDict begin H.R end 2898 5110 a 2898 5164 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Urbach:2005ji) cvn H.B /ANN pdfmark end 2898 5164 a Fw(,)2957 5164 y SDict begin H.S end 2957 5164 a Black Fw(9)p Black 2999 5110 a SDict begin H.R end 2999 5110 a 2999 5164 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Clark:2006fx) cvn H.B /ANN pdfmark end 2999 5164 a Fw(])h(this)g(prop)r(ert)n(y)120 5264 y(do)r(es)31 b(not)g(seem)f(to)h(b)r(e)g(that)h(imp)r(ortan)n(t)e(an)n (ymore,)g(w)n(e)h(consider)f(it)h(still)g(to)g(b)r(e)g(an)g(adv)-5 b(an)n(tage)29 b(to)i(ha)n(v)n(e)120 5363 y(an)k(infra-red)f(regulator) f(in)i(the)h(theory)e(whic)n(h)h(helps)g(in)g(stabilising)g(the)g(sim)n (ulations.)59 b(F)-7 b(or)34 b(a)h(recen)n(t)120 5463 y(stabilit)n(y)27 b(analysis)g(of)g(pure)g(Wilson)h(fermion)f(sim)n (ulations)g(see)g(Ref.)h([)2389 5463 y SDict begin H.S end 2389 5463 a Black Fw(10)p Black 2473 5409 a SDict begin H.R end 2473 5409 a 2473 5463 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.DelDebbio:2005qa) cvn H.B /ANN pdfmark end 2473 5463 a Fw(])p Black Black 1806 5712 a FD(1)p Black eop end end %%Page: 2 3 TeXDict begin HPSdict begin 2 2 bop 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 112 -8 a SDict begin H.S end 112 -8 a Black Black 112 -8 a SDict begin H.R end 112 -8 a 112 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.2) cvn /DEST pdfmark end 112 -8 a Black Black 120 407 a FD(in)45 b(the)g(renormalisation)d(pro)s (cess)47 b(are)e(substan)m(tially)f(reduced.)84 b(In)45 b(Ref.)82 b([)3105 407 y SDict begin H.S end 3105 407 a Black FD(11)p Black 3202 343 a SDict begin H.R end 3202 343 a 3202 407 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2004wz) cvn H.B /ANN pdfmark end 3202 407 a FD(])46 b(it)e(w)m(as)120 527 y(pro)m(v)m(ed)31 b(that)f(all)e(suc)m(h)k(mixings)c(can)i(b)s(e)h (eliminated)c(if)i(a)g(mixed)h(action)f(with)h(maximally)120 648 y(t)m(wisted)g(sea)f(quarks)h(and)f(appropriately)e(c)m(hosen)k (Osterw)m(alder{Seiler)d(v)-5 b(alence)29 b(fermions)120 768 y(is)37 b(emplo)m(y)m(ed.)59 b(F)-8 b(or)37 b(a)g(further)h (discussion)g(of)f(the)h(p)s(oten)m(tial)e(of)h(t)m(wisted)h(mass)g (QCD)f(on)120 888 y(the)c(lattice,)e(see)j(Refs.)f([)1041 888 y SDict begin H.S end 1041 888 a Black FD(23)p Black 1139 824 a SDict begin H.R end 1139 824 a 1139 888 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Becirevic:2006ii) cvn H.B /ANN pdfmark end 1139 888 a FD(,)1198 888 y SDict begin H.S end 1198 888 a Black FD(24)p Black 1296 824 a SDict begin H.R end 1296 824 a 1296 888 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 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FD(\()p Fo(a)p FD(\))h(impro)m(v)m(emen)m(t,)f (this)h(breaking)f(is)g(an)h Fp(O)s FD(\()p Fo(a)3085 1213 y FA(2)3125 1249 y FD(\))f(e\013ect)i(as)120 1370 y(con\014rmed)c(b)m(y)h(sim)m(ulations)c(p)s(erformed)i(in)g(the)h (quenc)m(hed)j(appro)m(ximation)27 b([)3049 1370 y SDict begin H.S end 3049 1370 a Black FD(27)p Black 3147 1306 a SDict begin H.R end 3147 1306 a 3147 1370 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Jansen:2005cg) cvn H.B /ANN pdfmark end 3147 1370 a FD(,)3204 1370 y SDict begin H.S end 3204 1370 a Black FD(28)p Black 3301 1306 a SDict begin H.R end 3301 1306 a 3301 1370 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2005hf) cvn H.B /ANN pdfmark end 3301 1370 a FD(].)43 b(F)-8 b(or)120 1490 y(recen)m(t)30 b(reviews)f(of)f (the)g(status)h(of)f(Wilson)f(t)m(wisted)i(mass)f(fermions)f(see)j (Refs.)f([)3110 1490 y SDict begin H.S end 3110 1490 a Black FD(29)p Black 3207 1426 a SDict begin H.R end 3207 1426 a 3207 1490 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2005ec) cvn H.B /ANN pdfmark end 3207 1490 a FD(,)3263 1490 y SDict begin H.S end 3263 1490 a Black FD(30)p Black 3360 1426 a SDict begin H.R end 3360 1426 a 3360 1490 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Scorzato:2005rb) cvn H.B /ANN pdfmark end 3360 1490 a FD(,)3415 1490 y SDict begin H.S end 3415 1490 a Black FD(31)p Black 3513 1426 a SDict begin H.R end 3513 1426 a 3513 1490 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Shindler:2005vj) cvn H.B /ANN pdfmark end 3513 1490 a FD(])120 1611 y(and)k(references)h(therein.)266 1731 y(It)f(is)f(the)i(main)d(goal)g(of)h(our)h(collab)s(oration)c(to)j (compute)h(a)g(n)m(um)m(b)s(er)g(of)f(phenomeno-)120 1851 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b(particles.)42 b(First)29 b(accoun)m(ts)j(of)d(our)i (w)m(ork)g(w)m(ere)h(presen)m(ted)g(at)e(recen)m(t)i(conferences,)120 3296 y(see)k(Refs.)f([)552 3296 y SDict begin H.S end 552 3296 a Black FD(32)p Black 650 3232 a SDict begin H.R end 650 3232 a 650 3296 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Jansen:2006rf) cvn H.B /ANN pdfmark end 650 3296 a FD(,)711 3296 y SDict begin H.S end 711 3296 a Black FD(33)p Black 809 3232 a SDict begin H.R end 809 3232 a 809 3296 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Shindler:2006tm) cvn H.B /ANN pdfmark end 809 3296 a FD(].)50 b(In)35 b(this)f(publication)f(w) m(e)i(will)e(fo)s(cus)i(on)f(the)h(results)h(of)e(our)g(presen)m(t)120 3416 y(sim)m(ulations)41 b(obtained)h(at)g(one)i(v)-5 b(alue)42 b(of)g Fo(\014)49 b FD(and)43 b(one)g(v)m(olume.)74 b(W)-8 b(e)43 b(shall)f(pro)m(vide,)k(in)120 3537 y(a)33 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(cite.DelDebbio:2006cn) cvn H.B /ANN pdfmark end 3121 3898 a FD(,)3181 3898 y SDict begin H.S end 3181 3898 a Black FD(36)p Black 3278 3834 a SDict begin H.R end 3278 3834 a 3278 3898 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.DelDebbio:2007pz) cvn H.B /ANN pdfmark end 3278 3898 a FD(,)3338 3898 y SDict begin H.S end 3338 3898 a Black FD(37)p Black 3435 3834 a SDict begin H.R end 3435 3834 a 3435 3898 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Gockeler:2006ns) cvn H.B /ANN pdfmark end 3435 3898 a FD(].)120 4073 y SDict begin H.S end 120 4073 a 120 4073 a SDict begin 14.5 H.A end 120 4073 a 120 4073 a SDict begin [/View [/XYZ H.V]/Dest (section.2) cvn /DEST pdfmark end 120 4073 a 158 x Fq(2)161 b(Choice)53 b(of)h(Lattice)g(Action)120 4450 y FD(The)37 b(Wilson)d(t)m(wisted)j(mass)f(fermionic)d(lattice)i (action)f(for)i(t)m(w)m(o)g(\015a)m(v)m(ours)h(of)f(degenerate)120 4570 y(quarks)30 b(reads)g(\(in)e(the)h(so)h(called)d(t)m(wisted)j (basis)f([)1983 4570 y SDict begin H.S end 1983 4570 a Black FD(2)p Black 2032 4506 a SDict begin H.R end 2032 4506 a 2032 4570 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2000nk) cvn H.B /ANN pdfmark end 2032 4570 a FD(])g(and)g(fermion)e (\014elds)j(with)e(con)m(tin)m(uum)120 4690 y(dimensions\))120 5163 y SDict begin H.S end 120 5163 a 120 5163 a SDict begin 14.5 H.A end 120 5163 a 120 5163 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.1) cvn /DEST pdfmark end 120 5163 a 464 4968 a Fo(S)524 4983 y FA(tm)642 4968 y FD(=)17 b Fo(a)786 4927 y FA(4)842 4873 y Fl(X)894 5082 y Fz(x)986 4857 y Fl(n)1064 4968 y FD(\026)-61 b Fo(\037)1113 4983 y Fz(x)1174 4827 y Fl(\024)1226 4968 y Fo(m)1311 4983 y FA(0)1373 4968 y FD(+)22 b Fo(i\015)1555 4983 y FA(5)1595 4968 y Fo(\034)1637 4983 y FA(3)1677 4968 y Fo(\026)f FD(+)1865 4900 y(4)p Fo(r)p 1865 4945 96 4 v 1887 5036 a(a)1971 4827 y Fl(\025)2040 4968 y Fo(\037)2101 4983 y Fz(x)718 5303 y FD(+)830 5235 y(1)p 804 5280 100 4 v 804 5371 a(2)p Fo(a)985 5178 y FA(4)931 5208 y Fl(X)938 5417 y Fz(\027)t FA(=1)1103 5303 y FD(\026)-61 b Fo(\037)1152 5318 y Fz(x)1213 5192 y Fl(h)1260 5303 y Fo(U)1326 5318 y Fz(x;\027)1428 5303 y FD(\()p Fp(\000)p Fo(r)26 b FD(+)c Fo(\015)1762 5318 y Fz(\027)1804 5303 y FD(\))p Fo(\037)1903 5318 y Fz(x)p FA(+)t(^)-39 b Fz(\027)2063 5303 y FD(+)22 b Fo(U)2237 5256 y Fk(y)2227 5331 y Fz(x)p Fk(\000)t FA(^)-39 b Fz(\027)t(;\027)2424 5303 y FD(\()p Fp(\000)p Fo(r)25 b Fp(\000)e Fo(\015)2759 5318 y Fz(\027)2802 5303 y FD(\))p Fo(\037)2901 5318 y Fz(x)p Fk(\000)t FA(^)-39 b Fz(\027)3039 5192 y Fl(io)3169 5303 y Fo(;)3415 5151 y FD(\(1\))p Black 1806 5712 a(2)p Black eop end end %%Page: 3 4 TeXDict begin HPSdict begin 3 3 bop 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 112 -8 a SDict begin H.S end 112 -8 a Black Black 112 -8 a SDict begin H.R end 112 -8 a 112 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.3) cvn /DEST pdfmark end 112 -8 a Black Black 120 407 a FD(where)40 b Fo(am)544 422 y FA(0)622 407 y FD(is)e(the)g(bare)h(un)m(t)m(wisted)g(quark)g(mass)g (and)f Fo(a\026)g FD(the)h(bare)f(t)m(wisted)h(mass,)h Fo(\034)3500 422 y FA(3)120 527 y FD(is)34 b(the)h(third)f(P)m(auli)f (matrix)g(acting)g(in)h(\015a)m(v)m(our)h(space)h(and)e Fo(r)j FD(is)d(the)h(Wilson)e(parameter,)120 648 y(whic)m(h)g(w)m(e)h (set)f(to)f(one)h(in)e(our)i(sim)m(ulations.)41 b(Twisted)33 b(mass)g(fermions)e(are)h(said)g(to)h(b)s(e)f(at)120 768 y Fn(maximal)i(twist)e FD(if)g(the)h(bare)g(un)m(t)m(wisted)h(mass) e(is)g(tuned)i(to)e(its)g(critical)e(v)-5 b(alue,)33 b Fo(m)3224 783 y 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H.V]/Dest (equation.2.2) cvn /DEST pdfmark end 291 1531 a Fo(S)351 1546 y Fz(g)419 1531 y FD(=)532 1464 y Fo(\014)p 532 1509 61 4 v 538 1600 a FD(3)620 1437 y Fl(X)672 1646 y Fz(x)763 1361 y Fl( )842 1531 y Fo(b)883 1546 y FA(0)1035 1407 y(4)981 1437 y Fl(X)957 1646 y Fz(\026;\027)t FA(=1)940 1712 y(1)p Fk(\024)p Fz(\026<\027)1166 1531 y Fp(f)p FD(1)22 b Fp(\000)h FD(Re)16 b(T)-8 b(r)q(\()p Fo(U)1733 1490 y FA(1)p Fk(\002)p FA(1)1723 1556 y Fz(x;\026;\027)1888 1531 y FD(\))p Fp(g)p FD(+)p Fo(b)2093 1546 y FA(1)2227 1407 y(4)2172 1437 y Fl(X)2149 1646 y Fz(\026;\027)t FA(=1)2176 1714 y Fz(\026)p Fk(6)p FA(=)p Fz(\027)2340 1531 y Fp(f)p FD(1)22 b Fp(\000)g FD(Re)17 b(T)-8 b(r\()p Fo(U)2906 1490 y FA(1)p Fk(\002)p FA(2)2896 1556 y Fz(x;\026;\027)3061 1531 y FD(\))p Fp(g)3149 1361 y Fl(!)3415 1531 y FD(\(2\))120 1878 y(with)42 b Fo(\014)48 b FD(the)43 b(bare)g(in)m(v)m(erse)h (coupling,)g Fo(b)1664 1893 y FA(1)1749 1878 y FD(=)g Fp(\000)p FD(1)p Fo(=)p FD(12)e(and)h(the)g(\(prop)s(er\))g (normalisation)120 1999 y(condition)28 b Fo(b)586 2014 y FA(0)654 1999 y FD(=)f(1)16 b Fp(\000)g FD(8)p Fo(b)1005 2014 y FA(1)1046 1999 y FD(.)43 b(Note)30 b(that)f(at)g Fo(b)1714 2014 y FA(1)1782 1999 y FD(=)f(0)h(this)g(action)g(b)s (ecomes)i(the)f(usual)f(Wilson)120 2119 y(plaquette)k(gauge)f(action.) 120 2272 y SDict begin H.S end 120 2272 a 120 2272 a SDict begin 14.5 H.A end 120 2272 a 120 2272 a SDict begin [/View [/XYZ H.V]/Dest (subsection.2.1) cvn /DEST pdfmark end 120 2272 a 130 x Fj(2.1)135 b Fi(O)s Fh(\()p Fg(a)p Fh(\))45 b Fj(impro)l(v)l(emen)l(t)120 2587 y FD(As)53 b(men)m(tioned)f(b)s(efore,)57 b Fp(O)s FD(\()p Fo(a)p FD(\))c(impro)m(v)m(emen)m(t)f(can)g(b)s(e)h(obtained)e(b)m(y)j(tuning) d(Wilson)120 2707 y(t)m(wisted)24 b(mass)g(fermions)e(to)i(maximal)c(t) m(wist.)41 b(In)24 b(fact,)h(it)d(w)m(as)j(\014rst)f(pro)m(v)m(ed)h(in) e(Ref.)h([)3262 2707 y SDict begin H.S end 3262 2707 a Black FD(3)p Black 3311 2643 a SDict begin H.R end 3311 2643 a 3311 2707 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2003ni) cvn H.B /ANN pdfmark end 3311 2707 a FD(])f(that)120 2828 y(parit)m(y)37 b(ev)m(en)j(correlators)d(are)h(free)g(from)f Fp(O)s FD(\()p Fo(a)p FD(\))h(lattice)e(artifacts)h(at)g(maximal)e(t)m (wist)j(b)m(y)120 2948 y(using)31 b(spurionic)f(symmetries)h(of)g(the)g (lattice)f(action.)42 b(Later)31 b(on)g(it)f(w)m(as)i(realised)f([)3260 2948 y SDict begin H.S end 3260 2948 a Black FD(12)p Black 3357 2884 a SDict begin H.R end 3357 2884 a 3357 2948 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2005gi) cvn H.B /ANN pdfmark end 3357 2948 a FD(,)3415 2948 y SDict begin H.S end 3415 2948 a Black FD(31)p Black 3513 2884 a SDict begin H.R end 3513 2884 a 3513 2948 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Shindler:2005vj) cvn H.B /ANN pdfmark end 3513 2948 a FD(])120 3068 y(that)j(a)g(simpler)e(pro)s(of)h(is)h (p)s(ossible)f(based)i(on)f(the)g(parit)m(y)g(symmetry)g(of)g(the)g (con)m(tin)m(uum)120 3189 y(QCD)e(action)g(and)h(the)g(use)g(of)f(the)h (Symanzik)g(e\013ectiv)m(e)g(theory)-8 b(.)266 3309 y(F)g(rom)46 b(this)h(latter)f(w)m(a)m(y)j(of)d(pro)m(ving)h Fp(O)s FD(\()p Fo(a)p FD(\))h(impro)m(v)m(emen)m(t,)i(it)c(b)s(ecomes)i(also)e (clear)120 3429 y(ho)m(w)35 b(to)f(de\014ne)i(maximal)c(t)m(wist:)47 b(\014rst,)36 b(c)m(ho)s(ose)f(an)g(op)s(erator)f(o)s(dd)g(under)i (parit)m(y)e(\(in)g(the)120 3550 y(ph)m(ysical)42 b(basis\))g(whic)m(h) g(has)h(a)f(zero)g(exp)s(ectation)g(v)-5 b(alue)42 b(in)f(the)h(con)m (tin)m(uum.)72 b(Second,)120 3670 y(at)47 b(a)g(non-v)-5 b(anishing)45 b(v)-5 b(alue)47 b(of)g(the)g(lattice)f(spacing)h(tune)h (the)f(exp)s(ectation)h(v)-5 b(alue)46 b(of)120 3791 y(this)35 b(op)s(erator)h(to)f(zero)h(b)m(y)h(adjusting)e(the)i(v)-5 b(alue)35 b(of)g Fo(am)2286 3806 y FA(0)2326 3791 y FD(.)53 b(This)36 b(pro)s(cedure,)i(whic)m(h)f(has)120 3911 y(b)s(een)31 b(prop)s(osed)f(in)f([)898 3911 y SDict begin H.S end 898 3911 a Black FD(39)p Black 996 3847 a SDict begin H.R end 996 3847 a 996 3911 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2004ma) cvn H.B /ANN pdfmark end 996 3911 a FD(,)1053 3911 y SDict begin H.S end 1053 3911 a Black FD(40)p Black 1150 3847 a SDict begin H.R end 1150 3847 a 1150 3911 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2004fs) cvn H.B /ANN pdfmark end 1150 3911 a FD(])h(and)g(has)g(b)s(een)h (theoretically)d(analysed)i(in)f([)2885 3911 y SDict begin H.S end 2885 3911 a Black FD(12)p Black 2983 3847 a SDict begin H.R end 2983 3847 a 2983 3911 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2005gi) cvn H.B /ANN pdfmark end 2983 3911 a FD(],)h(is)g(su\016cien)m(t)120 4031 y(to)48 b(de\014ne)i(maximal)c(t)m(wist)j(indep)s(enden)m(tly)g(of)g(the)g(c)m (hosen)h(op)s(erator.)92 b(T)-8 b(o)49 b(approac)m(h)120 4152 y(smo)s(othly)33 b(the)i(con)m(tin)m(uum)g(limit)c(this)j(tuning)g (has)h(to)g(b)s(e)g(p)s(erformed)f(at)g(\014xed)i(ph)m(ysical)120 4272 y(situation)31 b(while)h(decreasing)h(the)g(lattice)e(spacing.)266 4392 y(It)47 b(w)m(as)h(sho)m(wn)g(in)e(an)g(extended)j(scaling)c(test) j(in)e(the)h(quenc)m(hed)i(appro)m(ximation,)120 4513 y(that)29 b Fp(O)s FD(\()p Fo(a)p FD(\))h(impro)m(v)m(emen)m(t)f(w)m (orks)i(extremely)f(w)m(ell)f(for)g(maximally)d(t)m(wisted)k(mass)g (quarks)120 4633 y([)147 4633 y SDict begin H.S end 147 4633 a Black FD(16)p Black 245 4569 a SDict begin H.R end 245 4569 a 245 4633 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Jansen:2003ir) cvn H.B /ANN pdfmark end 245 4633 a FD(,)299 4633 y SDict begin H.S end 299 4633 a Black FD(17)p Black 396 4569 a SDict begin H.R end 396 4569 a 396 4633 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Jansen:2005gf) cvn H.B /ANN pdfmark end 396 4633 a FD(,)450 4633 y SDict begin H.S end 450 4633 a Black FD(18)p Black 548 4569 a SDict begin H.R end 548 4569 a 548 4633 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Jansen:2005kk) cvn H.B /ANN pdfmark end 548 4633 a FD(].)42 b(In)27 b(the)g(con)m(text)i(of)d(this)h(scaling) f(test,)j(the)e(metho)s(d)g(of)f(setting)h(the)g(so-called)120 4754 y(PCA)m(C)f(mass)e(to)g(zero)g(w)m(as)i(found)e(to)g(b)s(e)g(v)m (ery)i(successful,)i(in)23 b(agreemen)m(t)h(with)g(theoretical)120 4874 y(considerations)32 b([)782 4874 y SDict begin H.S end 782 4874 a Black FD(15)p Black 880 4810 a SDict begin H.R end 880 4810 a 880 4874 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Aoki:2004ta) cvn H.B /ANN pdfmark end 880 4874 a FD(,)939 4874 y SDict begin H.S end 939 4874 a Black FD(13)p Black 1037 4810 a SDict begin H.R end 1037 4810 a 1037 4874 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Sharpe:2004ny) cvn H.B /ANN pdfmark end 1037 4874 a FD(,)1097 4874 y SDict begin H.S end 1097 4874 a Black FD(12)p Black 1194 4810 a SDict begin H.R end 1194 4810 a 1194 4874 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2005gi) cvn H.B /ANN pdfmark end 1194 4874 a FD(].)44 b(Here)33 b(the)g(PCA)m(C)h (mass)907 5109 y SDict begin H.S end 907 5109 a 907 5109 a SDict begin 14.5 H.A end 907 5109 a 907 5109 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.3) cvn /DEST pdfmark end 907 5109 a Fo(m)992 5124 y FA(PCA)n(C)1225 5109 y FD(=)1338 4966 y Fl(P)1443 5070 y Ff(x)1490 5041 y Fp(h)p Fo(@)1580 5056 y FA(0)1620 5041 y Fo(A)1693 5005 y Fz(a)1693 5065 y FA(0)1735 5041 y FD(\()p Fo(x)p FD(\))p Fo(P)1943 5005 y Fz(a)1984 5041 y FD(\(0\))p Fp(i)p 1338 5086 810 4 v 1349 5177 a FD(2)1415 5102 y Fl(P)1520 5206 y Ff(x)1567 5177 y Fp(h)p Fo(P)1683 5148 y Fz(a)1724 5177 y FD(\()p Fo(x)p FD(\))p Fo(P)1932 5148 y Fz(a)1973 5177 y FD(\(0\))p Fp(i)2174 5109 y Fo(;)212 b(a)28 b FD(=)f(1)p Fo(;)17 b FD(2)678 b(\(3\))120 5342 y(is)42 b(ev)-5 b(aluated)42 b(at)f(large)g(enough)i(time)e(separation,)j(suc)m (h)f(that)f(the)h(pion)e(ground)i(state)120 5463 y(is)35 b(dominan)m(t.)52 b(T)-8 b(o)36 b(see)h(that)e(the)h(pro)s(cedure)h(of) e(de\014ning)h Fo(am)2476 5478 y FA(crit)2622 5463 y FD(from)f(the)h(v)-5 b(anishing)34 b(of)p Black 1806 5712 a(3)p Black eop end end %%Page: 4 5 TeXDict begin HPSdict begin 4 4 bop 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 112 -8 a SDict begin H.S end 112 -8 a Black Black 112 -8 a SDict begin H.R end 112 -8 a 112 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.4) cvn /DEST pdfmark end 112 -8 a Black Black 120 407 a Fo(m)205 422 y FA(PCA)n(C)450 407 y FD(is)39 b(the)h(appropriate)f(one,)j(it)c(is)h(enough)i(to)e (recall)f(that)h(under)i(that)e(condition)120 527 y(the)28 b(m)m(ultilo)s(cal)23 b(op)s(erator)1121 452 y Fl(P)1227 556 y Ff(x)1290 527 y Fo(A)1363 491 y Fz(a)1363 552 y FA(0)1405 527 y FD(\()p Fo(x)p FD(\))p Fo(P)1613 491 y Fz(a)1654 527 y FD(\(0\))28 b(b)s(ecomes,)h(in)e(the)h(ph)m(ysical)f (basis,)i(the)f(parit)m(y)120 648 y(o)s(dd)k(op)s(erator)g Fo(\017)744 611 y FA(3)p Fz(ab)868 573 y Fl(P)974 677 y Ff(x)1057 621 y FD(\026)1037 648 y Fo( )t(\015)1155 663 y FA(0)1194 648 y Fo(\034)1247 611 y Fz(b)1282 648 y Fo( )t FD(\()p Fo(x)p FD(\))1517 621 y(\026)1497 648 y Fo( )t(\015)1615 663 y FA(5)1654 648 y Fo(\034)1707 611 y Fz(a)1749 648 y Fo( )t FD(\(0\).)266 768 y(In)27 b(principle)e(one)h(could)g(think)g(of)g(determining)f Fo(am)2231 783 y FA(crit)2368 768 y FD(at)h(eac)m(h)h(v)-5 b(alue)25 b(of)h Fo(a\026)g FD(at)g(whic)m(h)120 888 y(sim)m(ulations)42 b(are)i(p)s(erformed,)j(p)s(ossibly)d(follo)m(w)m (ed)f(b)m(y)j(an)e(extrap)s(olation)e(to)i(v)-5 b(anishing)120 1009 y Fo(a\026)p FD(.)52 b(The)36 b(strategy)g(w)m(e)g(are)g(follo)m (wing)c(in)j(this)g(pap)s(er)g(is,)h(instead,)g(to)f(tak)m(e)h(the)g(v) -5 b(alue)34 b(of)120 1129 y Fo(am)256 1144 y FA(crit)400 1129 y FD(from)e(the)i(sim)m(ulation)d(at)i(the)h(lo)m(w)m(est)g(a)m(v) -5 b(ailable)31 b(v)-5 b(alue)33 b Fo(a\026)2624 1144 y FA(min)2775 1129 y Fp(\034)c Fo(a)p FD(\003)3023 1144 y FA(QCD)3186 1129 y FD(.)46 b(In)34 b(this)120 1249 y(situation)f Fp(O)s FD(\()p Fo(a)p FD(\))i(impro)m(v)m(emen)m(t)g(is)f (still)f(guaran)m(teed,)j(b)s(ecause)g(w)m(orking)f(at)f Fo(\026)3099 1264 y FA(min)3255 1249 y FD(merely)120 1370 y(leads)28 b(to)h Fp(O)s FD(\()p Fo(a\026)706 1385 y FA(min)827 1370 y FD(\003)895 1385 y FA(QCD)1059 1370 y FD(\))f(e\013ects)i(in)e Fo(m)1612 1385 y FA(crit)1751 1370 y FD(and)h Fp(O)s FD(\()p Fo(a)2108 1334 y FA(2)2148 1370 y Fo(\026)2207 1385 y FA(min)2328 1370 y FD(\003)2396 1385 y FA(QCD)2560 1370 y FD(\))f(relativ)m(e)g(corrections)h(in)120 1490 y(ph)m(ysical)j(quan)m(tities)h([)972 1490 y SDict begin H.S end 972 1490 a Black FD(12)p Black 1069 1426 a SDict begin H.R end 1069 1426 a 1069 1490 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2005gi) cvn H.B /ANN pdfmark end 1069 1490 a FD(].)120 1655 y SDict begin H.S end 120 1655 a 120 1655 a SDict begin 14.5 H.A end 120 1655 a 120 1655 a SDict begin [/View [/XYZ H.V]/Dest (subsection.2.2) cvn /DEST pdfmark end 120 1655 a 124 x Fj(2.2)135 b(Phase)46 b(Structure)120 1964 y FD(In)35 b(order)g(to)g(understand)h(our)f(c)m (hoice)g(of)g(the)g(gauge)g(action,)g(it)f(is)g(imp)s(ortan)m(t)f(to)i (realise)120 2084 y(that)24 b(Wilson-t)m(yp)s(e)g(fermions)f(ha)m(v)m (e)i(a)f(non-trivial)d(phase)26 b(structure)f(at)f(\014nite)g(lattice)f (spac-)120 2205 y(ing:)39 b(in)26 b(a)f(series)i(of)f(publications)e([) 1427 2205 y SDict begin H.S end 1427 2205 a Black FD(41)p Black 1525 2140 a SDict begin H.R end 1525 2140 a 1525 2205 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2004us) cvn H.B /ANN pdfmark end 1525 2205 a FD(,)1578 2205 y SDict begin H.S end 1578 2205 a Black FD(39)p Black 1676 2140 a SDict begin H.R end 1676 2140 a 1676 2205 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2004ma) cvn H.B /ANN pdfmark end 1676 2205 a FD(,)1729 2205 y SDict begin H.S end 1729 2205 a Black FD(40)p Black 1826 2140 a SDict begin H.R end 1826 2140 a 1826 2205 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2004fs) cvn H.B /ANN pdfmark end 1826 2205 a FD(,)1880 2205 y SDict begin H.S end 1880 2205 a Black FD(29)p Black 1977 2140 a SDict begin H.R end 1977 2140 a 1977 2205 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2005ec) cvn H.B /ANN pdfmark end 1977 2205 a FD(,)2030 2205 y SDict begin H.S end 2030 2205 a Black FD(42)p Black 2128 2140 a SDict begin H.R end 2128 2140 a 2128 2205 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2005bh) cvn H.B /ANN pdfmark end 2128 2205 a FD(,)2181 2205 y SDict begin H.S end 2181 2205 a Black FD(43)p Black 2279 2140 a SDict begin H.R end 2279 2140 a 2279 2205 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2005tu) cvn H.B /ANN pdfmark end 2279 2205 a FD(])i(the)g(phase)h(structure)h(of)d (lattice)120 2325 y(QCD)37 b(w)m(as)g(explored.)57 b(F)-8 b(or)36 b(lattice)f(spacings)i Fo(a)e Fp(\025)g FD(0)p Fo(:)p FD(15)i(fm)e(clear)i(signals)e(of)i(\014rst)g(order)120 2445 y(phase)43 b(transitions)d(at)h(the)h(c)m(hiral)f(p)s(oin)m(t)g(w) m(ere)i(found.)70 b(The)43 b(strength)f(of)g(those)g(phase)120 2566 y(transitions)37 b(w)m(eak)m(ens)j(when)f(the)f(con)m(tin)m(uum)g (limit)c(is)j(approac)m(hed.)60 b(This)38 b(phase)h(tran-)120 2686 y(sition)34 b(w)m(as)j(iden)m(ti\014ed)f(to)f(b)s(e)h(a)g Fn(generic)k FD(prop)s(ert)m(y)d(of)e(Wilson-t)m(yp)s(e)h(fermions)e (since)j(the)120 2806 y(phenomenon)c(tak)m(es)i(place)d(for)g(the)i (pure)f(Wilson)f(as)h(w)m(ell)f(as)h(the)h(Wilson)d(t)m(wisted)j(mass) 120 2927 y(form)m(ulation)27 b([)670 2927 y SDict begin H.S end 670 2927 a Black FD(2)p Black 719 2863 a SDict begin H.R end 719 2863 a 719 2927 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2000nk) cvn H.B /ANN pdfmark end 719 2927 a FD(,)777 2927 y SDict begin H.S end 777 2927 a Black FD(3)p Black 825 2863 a SDict begin H.R end 825 2863 a 825 2927 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2003ni) cvn H.B /ANN pdfmark end 825 2927 a FD(])k(of)e(lattice)g(QCD.) h(Also)g(the)h(prop)s(erties)f(of)g(ph)m(ysical)g(quan)m(tities)g(mea-) 120 3047 y(sured)c(in)e(b)s(oth)h(metastable)f(branc)m(hes)j(of)e(this) f(\014rst)i(order)f(phase)h(transition)d(w)m(ere)k(studied)120 3168 y(and)h(compared)h(to)f(results)g(of)g Fo(\037)p FD(PT)i([)1527 3168 y SDict begin H.S end 1527 3168 a Black FD(13)p Black 1624 3103 a SDict begin H.R end 1624 3103 a 1624 3168 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Sharpe:2004ny) cvn H.B /ANN pdfmark end 1624 3168 a FD(,)1680 3168 y SDict begin H.S end 1680 3168 a Black FD(15)p Black 1777 3103 a SDict begin H.R end 1777 3103 a 1777 3168 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Aoki:2004ta) cvn H.B /ANN pdfmark end 1777 3168 a FD(,)1832 3168 y SDict begin H.S end 1832 3168 a Black FD(44)p Black 1930 3103 a SDict begin H.R end 1930 3103 a 1930 3168 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Sharpe:2004ps) cvn H.B /ANN pdfmark end 1930 3168 a FD(,)1985 3168 y SDict begin H.S end 1985 3168 a Black FD(45)p Black 2083 3103 a SDict begin H.R end 2083 3103 a 2083 3168 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Munster:2004am) cvn H.B /ANN pdfmark end 2083 3168 a FD(,)2138 3168 y SDict begin H.S end 2138 3168 a Black FD(46)p Black 2236 3103 a SDict begin H.R end 2236 3103 a 2236 3168 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Munster:2004wt) cvn H.B /ANN pdfmark end 2236 3168 a FD(,)2291 3168 y SDict begin H.S end 2291 3168 a Black FD(47)p Black 2389 3103 a SDict begin H.R end 2389 3103 a 2389 3168 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Scorzato:2004da) cvn H.B /ANN pdfmark end 2389 3168 a FD(])e(\014nding)g(that)g(\(lattice\))f Fo(\037)p FD(PT)120 3288 y(describ)s(es)38 b(the)f(sim)m(ulation)d (data)j(quite)f(w)m(ell.)56 b(This)37 b(is)f(somewhat)h(surprising)f (since)i(the)120 3408 y(sim)m(ulation)31 b(data)j(w)m(ere)i(obtained)d (at)h(rather)h(coarse)g(v)-5 b(alues)34 b(of)f(the)i(lattice)e(spacing) h(and)120 3529 y(at)42 b(rather)g(hea)m(vy)i(pseudo)f(scalar)e(masses,) 46 b(where)d(the)g(applicabilit)m(y)38 b(of)k Fo(\037)p FD(PT)h(ma)m(y)f(b)s(e)120 3649 y(questionable.)266 3770 y(A)28 b(v)m(ery)i(imp)s(ortan)m(t)c(consequence)31 b(of)d(the)g (\014rst)h(order)f(phase)h(transition)d(phenomenon)120 3890 y(is)40 b(that)f(at)h(non-v)-5 b(anishing)38 b(lattice)h(spacing,) j(sim)m(ulations)37 b(cannot)k(b)s(e)f(p)s(erformed)f(with)120 4010 y(pseudo)44 b(scalar)f(mesons)g(b)s(elo)m(w)g(a)g(certain)g (minimal)38 b(mass)43 b(v)-5 b(alue.)75 b(F)-8 b(rom)41 b(lattice)h Fo(\037)p FD(PT)120 4131 y(analyses)32 b(it)e(is)g(exp)s (ected)j(that)e(this)g(minimal)c(v)-5 b(alue)30 b(of)h(the)g(pseudo)i (scalar)d(mass)h(go)s(es)g(to)120 4251 y(zero)37 b(with)f(a)g(rate)h (of)f Fp(O)s FD(\()p Fo(a)p FD(\).)56 b(In)36 b(di\013eren)m(t)h(w)m (ords,)i(giv)m(en)e(a)f(v)-5 b(alue)36 b(of)g(the)h(pseudo)h(scalar)120 4371 y(mass,)k Fo(m)481 4386 y FA(PS)573 4371 y FD(,)h(one)d(can)h(alw) m(a)m(ys)g(\014nd)g(a)f(v)-5 b(alue)40 b(of)g(the)h(lattice)e(spacing)h Fo(a)2895 4386 y FA(max)3031 4371 y FD(\()p Fo(m)3154 4386 y FA(PS)3245 4371 y FD(\),)i(suc)m(h)120 4492 y(that)34 b(sim)m(ulations)e(at)i Fo(a)d(<)g(a)1209 4507 y FA(max)1345 4492 y FD(\()p Fo(m)1468 4507 y FA(PS)1559 4492 y FD(\))k(can)f(b)s(e)h (safely)f(p)s(erformed.)49 b(F)-8 b(or)33 b(example,)i(when)120 4612 y(the)h(Wilson)f(plaquette)h(gauge)g(action)f(is)g(used)i(one)g (\014nds)g Fo(a)2431 4627 y FA(max)2600 4612 y Fp(\031)c FD(0)p Fo(:)p FD(07)j(fm)f(to)g(realise)g(a)120 4733 y(pseudo)f(scalar)e(mass)g(of)g(ab)s(out)g(300MeV)h([)1764 4733 y SDict begin H.S end 1764 4733 a Black FD(43)p Black 1862 4668 a SDict begin H.R end 1862 4668 a 1862 4733 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2005tu) cvn H.B /ANN pdfmark end 1862 4733 a FD(].)266 4853 y(The)c(phase)f (structure)h(of)e(lattice)f(QCD)i(with)f(Wilson-t)m(yp)s(e)g(fermions)f (has)i(previously)120 4973 y(b)s(een)41 b(addressed:)61 b(there)42 b(ha)m(v)m(e)f(b)s(een)h(in)m(v)m(estigations)d(concerning)i (the)g(Aoki-phase)f([)3415 4973 y SDict begin H.S end 3415 4973 a Black FD(48)p Black 3513 4909 a SDict begin H.R end 3513 4909 a 3513 4973 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Aoki:1986ua) cvn H.B /ANN pdfmark end 3513 4973 a FD(])120 5094 y(in)e(Refs.)h([)516 5094 y SDict begin H.S end 516 5094 a Black FD(49)p Black 614 5030 a SDict begin H.R end 614 5030 a 614 5094 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Sternbeck:2003gy) cvn H.B /ANN pdfmark end 614 5094 a FD(,)679 5094 y SDict begin H.S end 679 5094 a Black FD(50)p Black 777 5030 a SDict begin H.R end 777 5030 a 777 5094 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Ilgenfritz:2003gw) cvn H.B /ANN pdfmark end 777 5094 a FD(])f(at)h(large)e(gauge)h (couplings)g(corresp)s(onding)h(to)f(v)-5 b(alues)38 b(of)g(the)h(lattice)120 5214 y(spacing)45 b Fo(a)k Fp(\025)g FD(0)p Fo(:)p FD(2)44 b(fm)o(.)81 b(In)45 b(other)g(studies)h([)1861 5214 y SDict begin H.S end 1861 5214 a Black FD(51)p Black 1958 5150 a SDict begin H.R end 1958 5150 a 1958 5214 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Blum:1994eh) cvn H.B /ANN pdfmark end 1958 5214 a FD(,)2030 5214 y SDict begin H.S end 2030 5214 a Black FD(52)p Black 2128 5150 a SDict begin H.R end 2128 5150 a 2128 5214 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Aoki:2001xq) cvn H.B /ANN pdfmark end 2128 5214 a FD(,)2200 5214 y SDict begin H.S end 2200 5214 a Black FD(53)p Black 2297 5150 a SDict begin H.R end 2297 5150 a 2297 5214 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Aoki:2004iq) cvn H.B /ANN pdfmark end 2297 5214 a FD(])f(signals)f(of)h(\014rst)g(order)g(phase)120 5335 y(transitions)28 b(w)m(ere)i(found)g(for)e(Wilson)g(fermions)g (with)h(and)g(without)g(the)h(clo)m(v)m(er)f(term,)h(see)120 5455 y(also)h(Ref.)i([)547 5455 y SDict begin H.S end 547 5455 a Black FD(54)p Black 645 5391 a SDict begin H.R end 645 5391 a 645 5455 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Jansen:2003nt) cvn H.B /ANN pdfmark end 645 5455 a FD(].)43 b(In)33 b(Ref.)f([)1095 5455 y SDict begin H.S end 1095 5455 a Black FD(55)p Black 1193 5391 a SDict begin H.R end 1193 5391 a 1193 5455 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Creutz:1996bg) cvn H.B /ANN pdfmark end 1193 5455 a FD(])g(a)g(sp)s(eculativ)m(e)h(picture)f(of)g(the)h(phase)h(structure)f (of)f(Wilson)p Black 1806 5712 a(4)p Black eop end end %%Page: 5 6 TeXDict begin HPSdict begin 5 5 bop 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 112 -8 a SDict begin H.S end 112 -8 a Black Black 112 -8 a SDict begin H.R end 112 -8 a 112 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.5) cvn /DEST pdfmark end 112 -8 a Black Black Black 120 311 3420 4 v 120 327 V 120 442 a Fo(\014)583 b(L)824 406 y FA(3)885 442 y Fp(\001)22 b Fo(T)527 b(a\026)1629 457 y FA(min)2234 442 y Fo(\024)2290 457 y FA(crit)2401 442 y FD(\()p Fo(a\026)2549 457 y FA(min)2670 442 y FD(\))541 b Fo(r)3293 457 y FA(0)3333 442 y Fo(=a)p 120 510 V 120 526 V 120 611 a FD(3)p Fo(:)p FD(9)484 b(24)827 574 y FA(3)888 611 y Fp(\001)21 b FD(48)489 b(0)p Fo(:)p FD(004)540 b(0)p Fo(:)p FD(160856)535 b(5)p Fo(:)p FD(22\(2\))p 120 650 V 120 667 V 120 828 a Fe(T)-8 b(able)34 b(1:)501 828 y SDict begin H.S end 501 828 a Black Black 501 828 a SDict begin H.R end 501 828 a 501 828 a SDict begin [/View [/XYZ H.V]/Dest (table.1) cvn /DEST pdfmark end 501 828 a Fw(Sim)n(ulation)29 b(parameters.)39 b(W)-7 b(e)29 b(denote)g(b)n(y)g Fd(a\026)2010 840 y Fy(min)2153 828 y Fw(the)g(smallest)g(v)-5 b(alue)29 b(of)f(the)i(t)n(wisted)f(mass)120 927 y(parameter)d Fd(a\026)i Fw(at)f(whic)n(h)g(w)n(e)g(ha)n(v)n(e)g(p)r(erformed)g(sim)n (ulations.)36 b(A)n(t)28 b(this)g(v)-5 b(alue)27 b(of)g Fd(a\026)h Fw(w)n(e)f(determined)h(the)120 1027 y(critical)d(mass)f Fd(m)669 1039 y Fy(crit)774 1027 y Fw(,)h(or,)g(equiv)-5 b(alen)n(tly)25 b(the)h(critical)f(hopping)g(parameter)f Fd(\024)2579 1039 y Fy(crit)2706 1027 y Fw(=)f(1)p Fd(=)p Fw(\(8)12 b(+)i(2)p Fd(am)3202 1039 y Fy(crit)3306 1027 y Fw(\).)36 b(The)120 1127 y(v)-5 b(alue)27 b(of)h Fd(r)466 1139 y Fy(0)504 1127 y Fd(=a)f Fw(has)g(b)r(een)h(extrap)r(olated)e(to) i(the)g(ph)n(ysical)f(p)r(oin)n(t,)g(where)g Fd(m)2561 1139 y Fy(PS)2670 1127 y Fw(=)c(139)p Fd(:)p Fw(6)i(MeV.)p Black 120 1422 a FD(lattice)30 b(QCD)h(has)h(b)s(een)g(giv)m(en)g(and)g (in)e(Ref.)i([)1857 1422 y SDict begin H.S end 1857 1422 a Black FD(56)p Black 1955 1358 a SDict begin H.R end 1955 1358 a 1955 1422 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Sharpe:1998xm) cvn H.B /ANN pdfmark end 1955 1422 a FD(])f(an)h(analysis)e(within)h(the)h(framew)m(ork)f(of)120 1543 y Fo(\037)p FD(PT)g(has)f(b)s(een)h(rep)s(orted.)43 b(A)30 b(detailed)f(understanding)i(of)e(the)i(generic)f(phase)h (structure)120 1663 y(w)m(as)j(obtained)e(in)g(the)h(2-dimensional)d (Gross-Nev)m(eu)k(mo)s(del,)d(see)j(Refs.)g([)2924 1663 y SDict begin H.S end 2924 1663 a Black FD(57)p Black 3021 1599 a SDict begin H.R end 3021 1599 a 3021 1663 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Aoki:1985jj) cvn H.B /ANN pdfmark end 3021 1663 a FD(,)3081 1663 y SDict begin H.S end 3081 1663 a Black FD(58)p Black 3179 1599 a SDict begin H.R end 3179 1599 a 3179 1663 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Izubuchi:1998hy) cvn H.B /ANN pdfmark end 3179 1663 a FD(,)3239 1663 y SDict begin H.S end 3239 1663 a Black FD(59)p Black 3336 1599 a SDict begin H.R end 3336 1599 a 3336 1663 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Nagai:2005mi) cvn H.B /ANN pdfmark end 3336 1663 a FD(].)44 b(Of)120 1783 y(course,)36 b(it)d(is)h(unclear)g(ho)m(w)h(m)m (uc)m(h)g(these)g(last)f(results)h(are)f(applicable)e(to)i (4-dimensional)120 1904 y(lattice)d(QCD.)266 2024 y(In)36 b(order)g(to)f(c)m(ho)s(ose)h(a)f(gauge)g(action)f(for)h(our)g(pro)s (duction)g(sim)m(ulations)e(w)m(e)k(studied)120 2144 y(the)45 b(phase)g(structure)g(emplo)m(ying)e(a)h(n)m(um)m(b)s(er)g(of) g(di\013eren)m(t)g(gauge)g(actions:)67 b(the)44 b(stan-)120 2265 y(dard)e(Wilson)f(plaquette)h(gauge)g(action)f([)1750 2265 y SDict begin H.S end 1750 2265 a Black FD(1)p Black 1799 2201 a SDict begin H.R end 1799 2201 a 1799 2265 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Wilson:1974sk) cvn H.B /ANN pdfmark end 1799 2265 a FD(])h(\()p Fo(b)1947 2280 y FA(1)2030 2265 y FD(=)i(0)d(in)g(Eq.)i(\()2588 2265 y SDict begin H.S end 2588 2265 a Black FD(2)p Black 2637 2201 a SDict begin H.R end 2637 2201 a 2637 2265 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (equation.2.2) cvn H.B /ANN pdfmark end 2637 2265 a FD(\)\),)h(the)f(DBW2)e(gauge)120 2385 y(action)e([)447 2385 y SDict begin H.S end 447 2385 a Black FD(60)p Black 545 2321 a SDict begin H.R end 545 2321 a 545 2385 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.deForcrand:1996bx) cvn H.B /ANN pdfmark end 545 2385 a FD(])h(\()p Fo(b)691 2400 y FA(1)771 2385 y FD(=)g Fp(\000)p FD(1)p Fo(:)p FD(4088\))g(and)g(the)g(tree-lev)m(el)g(Symanzik)g(impro)m(v)m (ed)g(gauge)g(action)120 2506 y([)147 2506 y SDict begin H.S end 147 2506 a Black FD(38)p Black 245 2441 a SDict begin H.R end 245 2441 a 245 2506 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Weisz:1982zw) cvn H.B /ANN pdfmark end 245 2506 a FD(])32 b(\()p Fo(b)383 2521 y FA(1)451 2506 y FD(=)c Fp(\000)p FD(1)p Fo(=)p FD(12\).)43 b(A)33 b(mark)m(ed)g(dep)s(endence)i(of)d(the)h(strength)h(of)e(the)h(phase)h (transition)120 2626 y(on)f(the)h(c)m(hoice)f(of)g(the)h(gauge)f (action)f(has)i(b)s(een)g(found.)45 b(In)34 b(particular,)d(these)k(in) m(v)m(estiga-)120 2746 y(tions)29 b(rev)m(ealed)h(that)f(the)h(DBW2)f (and)h(the)g(tlSym)e(gauge)h(actions)g(substan)m(tially)g(w)m(eak)m(en) 120 2867 y(the)38 b(e\013ect)h(of)e(the)h(\014rst)g(order)g(phase)h (transition)d(and)i(in)f(particular)f(the)i(v)-5 b(alue)37 b(of)g Fo(a)3404 2882 y FA(max)120 2987 y FD(increases)32 b(when)g(the)f(co)s(e\016cien)m(t)g Fo(b)1439 3002 y FA(1)1510 2987 y FD(in)f(Eq.)h(\()1835 2987 y SDict begin H.S end 1835 2987 a Black FD(2)p Black 1884 2923 a SDict begin H.R end 1884 2923 a 1884 2987 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (equation.2.2) cvn H.B /ANN pdfmark end 1884 2987 a FD(\))g(is)f(mo)m(v)m(ed)h(a)m(w)m(a)m(y)h(from)e(zero)h ([)3055 2987 y SDict begin H.S end 3055 2987 a Black FD(40)p Black 3152 2923 a SDict begin H.R end 3152 2923 a 3152 2987 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2004fs) cvn H.B /ANN pdfmark end 3152 2987 a FD(,)3210 2987 y SDict begin H.S end 3210 2987 a Black FD(43)p Black 3308 2923 a SDict begin H.R end 3308 2923 a 3308 2987 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2005tu) cvn H.B /ANN pdfmark end 3308 2987 a FD(].)43 b(W)-8 b(e)120 3108 y(refer)33 b(to)f(Refs.)h([)734 3108 y SDict begin H.S end 734 3108 a Black FD(29)p Black 832 3043 a SDict begin H.R end 832 3043 a 832 3108 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Farchioni:2005ec) cvn H.B /ANN pdfmark end 832 3108 a FD(,)891 3108 y SDict begin H.S end 891 3108 a Black FD(31)p Black 989 3043 a SDict begin H.R end 989 3043 a 989 3108 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Shindler:2005vj) cvn H.B /ANN pdfmark end 989 3108 a FD(])g(for)f(summaries)f(of)h (these)i(results.)266 3228 y(The)24 b(DBW2)e(gauge)h(action)f(app)s (ears)h(to)g(lead)f(to)g(a)h(bad)g(scaling)f(b)s(eha)m(viour)g([)3120 3228 y SDict begin H.S end 3120 3228 a Black FD(61)p Black 3218 3164 a SDict begin H.R end 3218 3164 a 3218 3228 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.DeGrand:2002vu) cvn H.B /ANN pdfmark end 3218 3228 a FD(,)3268 3228 y SDict begin H.S end 3268 3228 a Black FD(62)p Black 3365 3164 a SDict begin H.R end 3365 3164 a 3365 3228 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Necco:2003vh) cvn H.B /ANN 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@MacSetUp}N/doclip{psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N /@beginspecial{SDict begin/SpecialSave save N gsave normalscale currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N} N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip}if/showpage{}N/erasepage{}N /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 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 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setcmykcolor}DC/Plum{0.50 1 0 0 setcmykcolor}DC/Violet{ 0.79 0.88 0 0 setcmykcolor}DC/RoyalPurple{0.75 0.90 0 0 setcmykcolor}DC /BlueViolet{0.86 0.91 0 0.04 setcmykcolor}DC/Periwinkle{0.57 0.55 0 0 setcmykcolor}DC/CadetBlue{0.62 0.57 0.23 0 setcmykcolor}DC /CornflowerBlue{0.65 0.13 0 0 setcmykcolor}DC/MidnightBlue{0.98 0.13 0 0.43 setcmykcolor}DC/NavyBlue{0.94 0.54 0 0 setcmykcolor}DC/RoyalBlue{1 0.50 0 0 setcmykcolor}DC/Blue{1 1 0 0 setcmykcolor}DC/Cerulean{0.94 0.11 0 0 setcmykcolor}DC/Cyan{1 0 0 0 setcmykcolor}DC/ProcessBlue{0.96 0 0 0 setcmykcolor}DC/SkyBlue{0.62 0 0.12 0 setcmykcolor}DC/Turquoise{0.85 0 0.20 0 setcmykcolor}DC/TealBlue{0.86 0 0.34 0.02 setcmykcolor}DC /Aquamarine{0.82 0 0.30 0 setcmykcolor}DC/BlueGreen{0.85 0 0.33 0 setcmykcolor}DC/Emerald{1 0 0.50 0 setcmykcolor}DC/JungleGreen{0.99 0 0.52 0 setcmykcolor}DC/SeaGreen{0.69 0 0.50 0 setcmykcolor}DC/Green{1 0 1 0 setcmykcolor}DC/ForestGreen{0.91 0 0.88 0.12 setcmykcolor}DC /PineGreen{0.92 0 0.59 0.25 setcmykcolor}DC/LimeGreen{0.50 0 1 0 setcmykcolor}DC/YellowGreen{0.44 0 0.74 0 setcmykcolor}DC/SpringGreen{ 0.26 0 0.76 0 setcmykcolor}DC/OliveGreen{0.64 0 0.95 0.40 setcmykcolor} DC/RawSienna{0 0.72 1 0.45 setcmykcolor}DC/Sepia{0 0.83 1 0.70 setcmykcolor}DC/Brown{0 0.81 1 0.60 setcmykcolor}DC/Tan{0.14 0.42 0.56 0 setcmykcolor}DC/Gray{0 0 0 0.50 setcmykcolor}DC/Black{0 0 0 1 setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueID 5000790 def currentdict end currentfile eexec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cleartomark % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec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cleartomark % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec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450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub 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mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def /BoxColFill { gsave Rec /Fillden exch def currentrgbcolor /ColB exch def /ColG exch def /ColR exch def /ColR ColR Fillden mul Fillden sub 1 add def /ColG ColG Fillden mul Fillden sub 1 add def /ColB ColB Fillden mul Fillden sub 1 add def ColR ColG ColB setrgbcolor fill grestore } def % % PostScript Level 1 Pattern Fill routine % Usage: x y w h s a XX PatternFill % x,y = lower left corner of box to be filled % w,h = width and height of box % a = angle in degrees between lines and x-axis % XX = 0/1 for no/yes cross-hatch % /PatternFill { gsave /PFa [ 9 2 roll ] def PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec gsave 1 setgray fill grestore clip currentlinewidth 0.5 mul setlinewidth /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def 0 0 M PFa 5 get rotate PFs -2 div dup translate 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 M 0 PFs V } for 0 PFa 6 get ne { 0 1 PFs PFa 4 get 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N}N/startTexFig{/psf$SavedState save N userdict maxlength dict begin/magscale true def normalscale currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts /psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def @MacSetUp}N/doclip{psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N /@beginspecial{SDict begin/SpecialSave save N gsave normalscale currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N} N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip}if/showpage{}N/erasepage{}N /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 TeXDict begin/setcmykcolor where{pop}{/setcmykcolor{dup 10 eq{pop setrgbcolor}{1 sub 4 1 roll 3{3 index add neg dup 0 lt{pop 0}if 3 1 roll }repeat setrgbcolor pop}ifelse}B}ifelse/TeXcolorcmyk{setcmykcolor}def /TeXcolorrgb{setrgbcolor}def/TeXcolorgrey{setgray}def/TeXcolorgray{ setgray}def/TeXcolorhsb{sethsbcolor}def/currentcmykcolor where{pop}{ /currentcmykcolor{currentrgbcolor 10}B}ifelse/DC{exch dup userdict exch known{pop pop}{X}ifelse}B/GreenYellow{0.15 0 0.69 0 setcmykcolor}DC /Yellow{0 0 1 0 setcmykcolor}DC/Goldenrod{0 0.10 0.84 0 setcmykcolor}DC /Dandelion{0 0.29 0.84 0 setcmykcolor}DC/Apricot{0 0.32 0.52 0 setcmykcolor}DC/Peach{0 0.50 0.70 0 setcmykcolor}DC/Melon{0 0.46 0.50 0 setcmykcolor}DC/YellowOrange{0 0.42 1 0 setcmykcolor}DC/Orange{0 0.61 0.87 0 setcmykcolor}DC/BurntOrange{0 0.51 1 0 setcmykcolor}DC /Bittersweet{0 0.75 1 0.24 setcmykcolor}DC/RedOrange{0 0.77 0.87 0 setcmykcolor}DC/Mahogany{0 0.85 0.87 0.35 setcmykcolor}DC/Maroon{0 0.87 0.68 0.32 setcmykcolor}DC/BrickRed{0 0.89 0.94 0.28 setcmykcolor}DC/Red{ 0 1 1 0 setcmykcolor}DC/OrangeRed{0 1 0.50 0 setcmykcolor}DC/RubineRed{ 0 1 0.13 0 setcmykcolor}DC/WildStrawberry{0 0.96 0.39 0 setcmykcolor}DC /Salmon{0 0.53 0.38 0 setcmykcolor}DC/CarnationPink{0 0.63 0 0 setcmykcolor}DC/Magenta{0 1 0 0 setcmykcolor}DC/VioletRed{0 0.81 0 0 setcmykcolor}DC/Rhodamine{0 0.82 0 0 setcmykcolor}DC/Mulberry{0.34 0.90 0 0.02 setcmykcolor}DC/RedViolet{0.07 0.90 0 0.34 setcmykcolor}DC /Fuchsia{0.47 0.91 0 0.08 setcmykcolor}DC/Lavender{0 0.48 0 0 setcmykcolor}DC/Thistle{0.12 0.59 0 0 setcmykcolor}DC/Orchid{0.32 0.64 0 0 setcmykcolor}DC/DarkOrchid{0.40 0.80 0.20 0 setcmykcolor}DC/Purple{ 0.45 0.86 0 0 setcmykcolor}DC/Plum{0.50 1 0 0 setcmykcolor}DC/Violet{ 0.79 0.88 0 0 setcmykcolor}DC/RoyalPurple{0.75 0.90 0 0 setcmykcolor}DC /BlueViolet{0.86 0.91 0 0.04 setcmykcolor}DC/Periwinkle{0.57 0.55 0 0 setcmykcolor}DC/CadetBlue{0.62 0.57 0.23 0 setcmykcolor}DC /CornflowerBlue{0.65 0.13 0 0 setcmykcolor}DC/MidnightBlue{0.98 0.13 0 0.43 setcmykcolor}DC/NavyBlue{0.94 0.54 0 0 setcmykcolor}DC/RoyalBlue{1 0.50 0 0 setcmykcolor}DC/Blue{1 1 0 0 setcmykcolor}DC/Cerulean{0.94 0.11 0 0 setcmykcolor}DC/Cyan{1 0 0 0 setcmykcolor}DC/ProcessBlue{0.96 0 0 0 setcmykcolor}DC/SkyBlue{0.62 0 0.12 0 setcmykcolor}DC/Turquoise{0.85 0 0.20 0 setcmykcolor}DC/TealBlue{0.86 0 0.34 0.02 setcmykcolor}DC /Aquamarine{0.82 0 0.30 0 setcmykcolor}DC/BlueGreen{0.85 0 0.33 0 setcmykcolor}DC/Emerald{1 0 0.50 0 setcmykcolor}DC/JungleGreen{0.99 0 0.52 0 setcmykcolor}DC/SeaGreen{0.69 0 0.50 0 setcmykcolor}DC/Green{1 0 1 0 setcmykcolor}DC/ForestGreen{0.91 0 0.88 0.12 setcmykcolor}DC /PineGreen{0.92 0 0.59 0.25 setcmykcolor}DC/LimeGreen{0.50 0 1 0 setcmykcolor}DC/YellowGreen{0.44 0 0.74 0 setcmykcolor}DC/SpringGreen{ 0.26 0 0.76 0 setcmykcolor}DC/OliveGreen{0.64 0 0.95 0.40 setcmykcolor} DC/RawSienna{0 0.72 1 0.45 setcmykcolor}DC/Sepia{0 0.83 1 0.70 setcmykcolor}DC/Brown{0 0.81 1 0.60 setcmykcolor}DC/Tan{0.14 0.42 0.56 0 setcmykcolor}DC/Gray{0 0 0 0.50 setcmykcolor}DC/Black{0 0 0 1 setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 57 /nine put readonly def /FontBBox{-251 -250 1009 969}readonly def currentdict end currentfile eexec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cleartomark % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 48 /zero put dup 50 /two put readonly def /FontBBox{-36 -250 1070 750}readonly def currentdict end currentfile eexec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cleartomark % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 22 /mu put dup 61 /slash put dup 97 /a put dup 114 /r put readonly def /FontBBox{-30 -250 1026 750}readonly def currentdict end currentfile eexec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cleartomark % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put readonly def /FontBBox{-34 -251 988 750}readonly def currentdict end currentfile eexec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cleartomark TeXDict begin 39139632 55387786 1000 600 600 (wrapper.dvi) @start /Fa 198[42 3[42 42 42 42 42 42 1[23 46[{}8 83.022 /CMR10 rf /Fb 205[35 1[35 48[{}2 66.4176 /CMR8 rf /Fc 141[44 16[51 35[49 38[59 22[{}4 99.6264 /CMMI12 rf /Fd 214[38 38 40[{}2 99.6264 /CMR12 rf end TeXDict begin end TeXDict begin 1 0 bop Black Black 639 2240 a @beginspecial 0 @llx 0 @lly 360 @urx 216 @ury 3600 @rwi @setspecial /gnudict 256 dict def gnudict begin /Color true def /Solid true def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -33 def /dl {10.0 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /Rounded false def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /N {newpath moveto} bind def /C {setrgbcolor} bind def /f {rlineto fill} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /AL { stroke userlinewidth 2 div setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /UL { dup gnulinewidth mul /userlinewidth exch def dup 1 lt {pop 1} if 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /LTw { PL [] 1 setgray } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def /BoxColFill { gsave Rec /Fillden exch def currentrgbcolor /ColB exch def /ColG exch def /ColR exch def /ColR ColR Fillden mul Fillden sub 1 add def /ColG ColG Fillden mul Fillden sub 1 add def /ColB ColB Fillden mul Fillden sub 1 add def ColR ColG ColB setrgbcolor fill grestore } def % % PostScript Level 1 Pattern Fill routine % Usage: x y w h s a XX PatternFill % x,y = lower left corner of box to be filled % w,h = width and height of 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1860 0 V 0 1860 V -1860 0 V 350 200 L 1.000 UP LTb LTb 1.000 UL LT2 350 1313 M 1960 831 L 1.000 UP 1.000 UL LT0 464 1178 M 0 149 V 433 1178 M 62 0 V -62 149 R 62 0 V 148 -93 R 0 143 V 612 1234 M 62 0 V -62 143 R 62 0 V 867 1002 M 0 149 V 836 1002 M 62 0 V -62 149 R 62 0 V 167 -106 R 0 133 V -31 -133 R 62 0 V -62 133 R 62 0 V 1960 769 M 0 127 V 1929 769 M 62 0 V -62 127 R 62 0 V 464 1252 CircleF 643 1305 CircleF 867 1077 CircleF 1065 1111 CircleF 1960 832 CircleF 1.000 UL LTb 350 200 M 1860 0 V 0 1860 V -1860 0 V 350 200 L 1.000 UP stroke grestore end showpage @endspecial 2196 1990 a Fd(\()p Fc(a\026)p Fd(\))2382 1953 y Fb(2)991 659 y Fd(\()p Fc(r)1073 674 y Fb(0)1112 659 y Fc(=a)p Fd(\))2022 2183 y Fa(0.0002)-830 b(0.0001)-734 b(0)783 550 y(5.5)783 993 y(5.3)783 1436 y(5.1)783 1878 y(4.9)p Black Black eop end userdict /end-hook known{end-hook}if %%EndDocument @endspecial 2577 1833 a Fw(\(b\))120 2056 y Fe(Figure)27 b(1:)532 2056 y SDict begin H.S end 532 2056 a Black Black 532 2056 a SDict begin H.R end 532 2056 a 532 2056 a SDict begin [/View [/XYZ H.V]/Dest (figure.1) cvn /DEST pdfmark end 532 2056 a Fw(\(a\))d(PCA)n(C)f(quark)f(mass)h Fd(am)1470 2068 y Fy(PCA)n(C)1684 2056 y Fw(as)g(function)h(of)g Fd(a\026)f Fw(and)h(\(b\))g(Sommer)f(parameter)f(\()p Fd(r)3384 2068 y Fy(0)3422 2056 y Fd(=a)p Fw(\))120 2156 y(as)i(functions)h(of)g(\()p Fd(a\026)p Fw(\))824 2126 y Fy(2)862 2156 y Fw(.)36 b(The)24 b(solid)h(line)g(in)g(sub\014gure)f (\(b\))h(represen)n(ts)f(a)g(linear)g(\014t)h(in)g(\()p Fd(a\026)p Fw(\))3054 2126 y Fy(2)3117 2156 y Fw(to)f(the)i(data.)p Black 120 2452 a FD(called)44 b(\000-metho)s(d)g(as)h(describ)s(ed)h (in)f(Ref.)g([)1817 2452 y SDict begin H.S end 1817 2452 a Black FD(69)p Black 1915 2387 a SDict begin H.R end 1915 2387 a 1915 2452 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Wolff:2003sm) cvn H.B /ANN pdfmark end 1915 2452 a FD(])g(and)g(cross-c)m(hec)m(k)m(ed)k(with)c(a)g(b)s(o)s(otstrap)120 2572 y(analysis)35 b(and)h(a)g(jac)m(k-knife)g(analysis)g(of)f(blo)s(c) m(k)m(ed)i(data.)53 b(F)-8 b(or)35 b(a)h(detailed)f(description)g(of) 120 2692 y(our)d(error)h(analysis)f(w)m(e)h(refer)g(to)g(a)f (forthcoming)e(pap)s(er)j(of)f(our)h(collab)s(oration)c([)3186 2692 y SDict begin H.S end 3186 2692 a Black FD(34)p Black 3283 2628 a SDict begin H.R end 3283 2628 a 3283 2692 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.etmcfollow) cvn H.B /ANN pdfmark end 3283 2692 a FD(].)120 2857 y SDict begin H.S end 120 2857 a 120 2857 a SDict begin 14.5 H.A end 120 2857 a 120 2857 a SDict begin [/View [/XYZ H.V]/Dest (subsection.3.2) cvn /DEST pdfmark end 120 2857 a 124 x Fj(3.2)135 b(F)-11 b(orce)45 b(parameter)h Fg(r)1488 2999 y Fw(0)120 3166 y FD(In)38 b(sim)m(ulations)d(of)i(the)h(quenc)m(hed)i(appro)m (ximation)c(of)h(lattice)f(QCD,)h(the)h(Sommer)f(pa-)120 3286 y(rameter)g Fo(r)532 3301 y FA(0)609 3286 y FD([)636 3286 y SDict begin H.S end 636 3286 a Black FD(70)p Black 734 3222 a SDict begin H.R end 734 3222 a 734 3286 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Sommer:1993ce) cvn H.B /ANN pdfmark end 734 3286 a FD(])g(with)g(a)g(v)-5 b(alue)37 b(of)g(0)p Fo(:)p FD(5)g(fm,)h(w)m(as)h(widely)e(used)i(to)e(set)h(the) g(lattice)e(scale.)120 3407 y(While)g(\()p Fo(r)491 3422 y FA(0)531 3407 y Fo(=a)p FD(\))h(is)g(measurable)f(to)h(go)s(o)s(d)f (accuracy)j(in)d(lattice)g(QCD)h(sim)m(ulations)e(it)i(has)120 3527 y(the)d(dra)m(wbac)m(k)i(that)d(its)g(v)-5 b(alue)33 b(in)g(ph)m(ysical)h(units)g(is)f(not)g(kno)m(wn)i(v)m(ery)h(w)m(ell.) 46 b(Therefore,)120 3647 y(it)31 b(b)s(ecomes)i(necessary)i(to)d (determine)g(the)h(scale)f(using)g(other)g(quan)m(tities)g(whic)m(h)h (are)g(ex-)120 3768 y(p)s(erimen)m(tally)h(accessible)i(with)f(high)g (precision,)h(suc)m(h)h(as)f Fo(m)2447 3783 y Fz(\031)2495 3768 y FD(,)g Fo(f)2606 3783 y Fz(\031)2654 3768 y FD(,)g Fo(m)2802 3783 y FA(K)2861 3768 y FD(,)h Fo(f)2973 3783 y FA(K)3068 3768 y FD(or)e Fo(m)3275 3783 y FA(K)3330 3764 y Fc(\003)3371 3768 y FD(.)53 b(In)120 3888 y(fact,)29 b(in)e(this)g(pap)s(er)h(w)m(e)h(attempt)e(to)g(determine)h(the)g (lattice)e(scale)i(b)m(y)h(\014tting)d Fo(\037)p FD(PT)j(based)120 4009 y(form)m(ulae)36 b(to)h(our)g(precise)h(data)f(for)g Fo(f)1582 4024 y FA(PS)1710 4009 y FD(and)h Fo(m)1990 4024 y FA(PS)2081 4009 y FD(,)h(using)e(the)g(ph)m(ysical)h(v)-5 b(alues)37 b(for)g Fo(m)3493 4024 y Fz(\031)120 4129 y FD(and)k Fo(f)366 4144 y Fz(\031)454 4129 y FD(as)g(inputs.)68 b(F)-8 b(rom)39 b(this)i(analysis,)h(w)m(e)g(obtain)e(a)g(v)-5 b(alue)40 b(of)h(the)g(lattice)e(spacing)120 4249 y(whic)m(h)33 b(is)f(10\045)h(lo)m(w)m(er)f(than)h(the)g(v)-5 b(alue)32 b(obtained)g(b)m(y)h(setting)g Fo(r)2512 4264 y FA(0)2579 4249 y FD(=)27 b(0)p Fo(:)p FD(5)32 b(fm.)266 4370 y(Our)23 b(results)g(for)f(\()p Fo(r)978 4385 y FA(0)1017 4370 y Fo(=a)p FD(\))h(are)f(rep)s(orted)h(in)f(table)2051 4370 y SDict begin H.S end 2051 4370 a Black FD(2)p Black 2100 4306 a SDict begin H.R end 2100 4306 a 2100 4370 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (table.2) cvn H.B /ANN pdfmark end 2100 4370 a 23 w FD(and)g(plotted)g(in)g(\014gure) 2993 4395 y SDict begin H.S end 2993 4395 a Black -25 x FD(1\(b\))p Black 3172 4295 a SDict begin H.R end 3172 4295 a 3172 4370 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (subfigure.1.2) cvn H.B /ANN pdfmark end 3172 4370 a FD(.)40 b(Within)120 4490 y(the)25 b(curren)m(t)g(errors)g(the)f(mass)h(dep)s (endence)h(of)e(this)g(quan)m(tit)m(y)h(app)s(ears)f(to)g(b)s(e)h(w)m (eak.)42 b(Since)120 4611 y Fo(r)164 4626 y FA(0)236 4611 y FD(is)32 b(a)g(pure)h(gauge)g(quan)m(tit)m(y)-8 b(,)33 b(it)e(should)i(b)s(e)g(a)f(function)g(of)g(\()p Fo(a\026)p FD(\))2623 4574 y FA(2)2695 4611 y FD(and)g(indeed,)h(a)g (linear)120 4731 y(\014t)j(in)g(\()p Fo(a\026)p FD(\))552 4695 y FA(2)627 4731 y FD(describ)s(es)h(the)g(data)f(rather)g(w)m(ell) f(as)i(sho)m(wn)g(in)f(\014gure)2756 4756 y SDict begin H.S end 2756 4756 a Black -25 x FD(1\(b\))p Black 2935 4656 a SDict begin H.R end 2935 4656 a 2935 4731 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (subfigure.1.2) cvn H.B /ANN pdfmark end 2935 4731 a FD(.)55 b(F)-8 b(rom)34 b(the)j(\014t)120 4851 y(w)m(e)e(obtain)e(a)h(v)-5 b(alue)33 b(for)g Fo(r)1100 4866 y FA(0)1140 4851 y Fo(=a)d FD(=)g(5)p Fo(:)p FD(22\(2\))j(at)g (the)i(ph)m(ysical)e(p)s(oin)m(t,)h(where)h Fo(a\026)30 b FD(=)g Fo(a\026)3296 4866 y Fz(\031)3377 4851 y FD(\(see)120 4972 y(b)s(elo)m(w\),)i(as)h(also)f(quoted)h(in)f(table)1457 4972 y SDict begin H.S end 1457 4972 a Black FD(1)p Black 1506 4907 a SDict begin H.R end 1506 4907 a 1506 4972 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (table.1) cvn H.B /ANN pdfmark end 1506 4972 a FD(.)p Black 1806 5712 a(7)p Black eop end end %%Page: 8 9 TeXDict begin HPSdict begin 8 8 bop 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 112 -8 a SDict begin H.S end 112 -8 a Black Black 112 -8 a SDict begin H.R end 112 -8 a 112 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.8) cvn /DEST pdfmark end 112 -8 a Black Black 120 307 a SDict begin H.S end 120 307 a 120 307 a SDict begin 14.5 H.A end 120 307 a 120 307 a SDict begin [/View [/XYZ H.V]/Dest (subsection.3.3) cvn /DEST pdfmark end 120 307 a 100 x Fj(3.3)135 b Fg(f)484 425 y Fw(PS)636 407 y Fj(and)44 b Fg(m)997 425 y Fw(PS)1149 407 y Fj(as)i(a)f(function)g(of)g(the)g(quark)g(mass)120 592 y FD(The)32 b Fn(char)-5 b(ge)g(d)30 b FD(pseudo)i(scalar)e(meson)h (mass)g Fo(am)1935 607 y FA(PS)2058 592 y FD(is)f(as)h(usual)g (extracted)h(from)e(the)h(time)120 712 y(exp)s(onen)m(tial)46 b(deca)m(y)h(of)f(appropriate)f(correlation)f(functions)2541 712 y SDict begin H.S end 2541 712 a -36 x FA(2)2580 712 y SDict begin 14.5 H.L end 2580 712 a 2580 712 a SDict begin [/Subtype /Link/Dest (Hfootnote.2) cvn/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Color [1 0 0] H.B /ANN pdfmark end 2580 712 a FD(.)84 b(In)47 b(con)m(trast)f(to)g(pure)120 832 y(Wilson)g(fermions,)k(for)c(maximally)e(t)m(wisted)j(mass)g (fermions)f(an)h(exact)h(lattice)e(W)-8 b(ard)120 953 y(iden)m(tit)m(y)33 b(allo)m(ws)f(to)h(extract)h(the)g(\(c)m(harged\))g (pseudo)g(scalar)f(meson)g(deca)m(y)h(constan)m(t)h Fo(f)3449 968 y FA(PS)120 1073 y FD(from)c(the)i(relation)1306 1213 y SDict begin H.S end 1306 1213 a 1306 1213 a SDict begin 14.5 H.A end 1306 1213 a 1306 1213 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.4) cvn /DEST pdfmark end 1306 1213 a Fo(f)1354 1228 y FA(PS)1473 1213 y FD(=)1622 1146 y(2)p Fo(\026)p 1587 1190 177 4 v 1587 1281 a(m)1672 1247 y FA(2)1672 1308 y(PS)1774 1213 y Fp(jh)p FD(0)p Fp(j)p Fo(P)1995 1172 y FA(1)2032 1213 y FD(\(0\))p Fp(j)p Fo(\031)t Fp(ij)17 b Fo(;)1060 b FD(\(4\))120 1443 y(with)33 b(no)f(need)i(to)f(compute)g(an)m(y)g(renormalisation)d(constan)m(t)k (since)f Fo(Z)2801 1458 y Fz(P)2888 1443 y FD(=)28 b(1)p Fo(=)-5 b(Z)3152 1458 y Fz(\026)3230 1443 y FD([)3257 1443 y SDict begin H.S end 3257 1443 a Black FD(2)p Black 3306 1379 a SDict begin H.R end 3306 1379 a 3306 1443 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Frezzotti:2000nk) cvn H.B /ANN pdfmark end 3306 1443 a FD(].)45 b(W)-8 b(e)120 1563 y(giv)m(e)33 b(our)f(results)h(for)f Fo(m)1038 1578 y FA(PS)1162 1563 y FD(and)h Fo(f)1400 1578 y FA(PS)1524 1563 y FD(in)f(table)1881 1563 y SDict begin H.S end 1881 1563 a Black FD(2)p Black 1930 1499 a SDict begin H.R end 1930 1499 a 1930 1563 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (table.2) cvn H.B /ANN pdfmark end 1930 1563 a FD(.)266 1684 y(W)-8 b(e)27 b(no)m(w)g(discuss)g(whether)h(the)f(con)m (tin)m(uum)f Fo(\037)p FD(PT)h(form)m(ulae)e(can)h(repro)s(duce)i(the)e (data)120 1804 y(in)35 b(table)483 1804 y SDict begin H.S end 483 1804 a Black FD(2)p Black 532 1740 a SDict begin H.R end 532 1740 a 532 1804 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (table.2) cvn H.B /ANN pdfmark end 532 1804 a 35 w FD(for)g Fo(am)855 1819 y FA(PS)983 1804 y FD(and)g Fo(af)1274 1819 y FA(PS)1366 1804 y FD(.)52 b(In)35 b(our)h Fo(\037)p FD(PT)g(based)g(analysis,)g(w)m(e)g(tak)m(e)g (in)m(to)f(accoun)m(t)120 1925 y(\014nite)43 b(size)g(corrections)h(b)s (ecause)g(on)f(our)g(lattices)f(at)h(the)h(lo)m(w)m(est)f(and)h (next-to-lo)m(w)m(est)120 2045 y Fo(\026)p FD(-v)-5 b(alues)41 b(they)i(turn)g(out)f(to)f(a\013ect)i Fo(am)1687 2060 y FA(PS)1821 2045 y FD(and,)h(in)e(particular,)h Fo(af)2761 2060 y FA(PS)2894 2045 y FD(in)f(a)g(signi\014can)m(t)120 2165 y(w)m(a)m(y)-8 b(.)60 b(W)-8 b(e)38 b(ha)m(v)m(e)h(used)g(con)m (tin)m(uum)e Fo(\037)p FD(PT)i(to)e(describ)s(e)h(consisten)m(tly)g (the)g(dep)s(endence)i(of)120 2286 y(the)33 b(data)f(b)s(oth)h(on)f (the)h(\014nite)f(spatial)f(size)i(\()p Fo(L)p FD(\))g(and)f(on)h Fo(\026)p FD(.)266 2406 y(W)-8 b(e)33 b(\014t)g(the)g(appropriate)f(\() p Fo(N)1369 2421 y Fz(f)1442 2406 y FD(=)27 b(2\))32 b Fo(\037)p FD(PT)i(form)m(ulae)d([)2323 2406 y SDict begin H.S end 2323 2406 a Black FD(71)p Black 2421 2342 a SDict begin H.R end 2421 2342 a 2421 2406 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Gasser:1986vb) cvn H.B /ANN pdfmark end 2421 2406 a FD(,)2480 2406 y SDict begin H.S end 2480 2406 a Black FD(72)p Black 2578 2342 a SDict begin H.R end 2578 2342 a 2578 2406 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Colangelo:2005gd) cvn H.B /ANN pdfmark end 2578 2406 a FD(])659 2698 y SDict begin H.S end 659 2698 a 659 2698 a SDict begin 14.5 H.A end 659 2698 a 659 2698 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.5) cvn /DEST pdfmark end 659 2698 a Fo(m)744 2657 y FA(2)744 2722 y(PS)836 2698 y FD(\()p Fo(L)p FD(\))d(=)g(2)p Fo(B)1233 2713 y FA(0)1272 2698 y Fo(\026)1364 2557 y Fl(\024)1416 2698 y FD(1)22 b(+)1595 2630 y(1)p 1595 2675 49 4 v 1595 2766 a(2)1654 2698 y Fo(\030)8 b FD(~)-52 b Fo(g)1749 2713 y FA(1)1788 2698 y FD(\()p Fo(\025)p FD(\))1921 2557 y Fl(\025)1973 2580 y FA(2)2046 2617 y Fl(\002)2087 2698 y FD(1)22 b(+)g Fo(\030)f FD(log\(2)p Fo(B)2607 2713 y FA(0)2646 2698 y Fo(\026=)p FD(\003)2822 2657 y FA(2)2822 2722 y(3)2861 2698 y FD(\))2899 2617 y Fl(\003)2974 2698 y Fo(;)414 b FD(\(5\))779 2980 y SDict begin H.S end 779 2980 a 779 2980 a SDict begin 14.5 H.A end 779 2980 a 779 2980 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.6) cvn /DEST pdfmark end 779 2980 a Fo(f)827 2995 y FA(PS)919 2980 y FD(\()p Fo(L)p FD(\))28 b(=)f Fo(F)47 b FD([1)22 b Fp(\000)h FD(2)p Fo(\030)8 b FD(~)-52 b Fo(g)1644 2995 y FA(1)1682 2980 y FD(\()p Fo(\025)p FD(\)])1875 2899 y Fl(\002)1917 2980 y FD(1)22 b Fp(\000)g FD(2)p Fo(\030)f FD(log\(2)p Fo(B)2487 2995 y FA(0)2526 2980 y Fo(\026=)p FD(\003)2702 2939 y FA(2)2702 3005 y(4)2741 2980 y FD(\))2779 2899 y Fl(\003)2854 2980 y Fo(;)534 b FD(\(6\))120 3152 y(to)32 b(our)h(ra)m(w)g(data)f(for)g Fo(m)1056 3167 y FA(PS)1180 3152 y FD(and)h Fo(f)1418 3167 y FA(PS)1542 3152 y FD(sim)m(ultaneously)-8 b(.)42 b(Here)991 3367 y SDict begin H.S end 991 3367 a 991 3367 a SDict begin 14.5 H.A end 991 3367 a 991 3367 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.7) cvn /DEST pdfmark end 991 3367 a Fo(\030)32 b FD(=)c(2)p Fo(B)1293 3382 y FA(0)1332 3367 y Fo(\026=)p FD(\(4)p Fo(\031)t(F)14 b FD(\))1701 3326 y FA(2)1756 3367 y Fo(;)212 b(\025)27 b FD(=)2183 3276 y Fl(p)p 2282 3276 327 4 v 2282 3367 a FD(2)p Fo(B)2405 3382 y FA(0)2445 3367 y Fo(\026L)2570 3338 y FA(2)2642 3367 y Fo(:)746 b FD(\(7\))120 3582 y(The)56 b(\014nite)f(size)h(correction)f(function)j(~)-53 b Fo(g)1752 3597 y FA(1)1791 3582 y FD(\()p Fo(\025)p FD(\))55 b(w)m(as)i(\014rst)e(computed)h(b)m(y)g(Gasser)g(and)120 3702 y(Leut)m(wyler)37 b(in)d(Ref.)i([)931 3702 y SDict begin H.S end 931 3702 a Black FD(71)p Black 1029 3638 a SDict begin H.R end 1029 3638 a 1029 3702 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Gasser:1986vb) cvn H.B /ANN pdfmark end 1029 3702 a FD(])f(and)h(is)f(also)g(discussed)i(in)e(Ref.)g([) 2362 3702 y SDict begin H.S end 2362 3702 a Black FD(72)p Black 2460 3638 a SDict begin H.R end 2460 3638 a 2460 3702 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Colangelo:2005gd) cvn H.B /ANN pdfmark end 2460 3702 a FD(])h(from)e(whic)m(h)i(w)m(e)h (tak)m(e)f(our)120 3823 y(notation)30 b(\(except)j(that)e(our)g (normalisation)d(of)j Fo(f)2004 3838 y Fz(\031)2083 3823 y FD(is)g(130.7)f(MeV\).)i(In)g(Eqs.)h(\()3109 3823 y SDict begin H.S end 3109 3823 a Black FD(5)p Black 3158 3759 a SDict begin H.R end 3158 3759 a 3158 3823 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (equation.3.5) cvn H.B /ANN pdfmark end 3158 3823 a FD(\))e(and)g(\()3453 3823 y SDict begin H.S end 3453 3823 a Black FD(6)p Black 3502 3759 a SDict begin H.R end 3502 3759 a 3502 3823 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (equation.3.6) cvn H.B /ANN pdfmark end 3502 3823 a FD(\))120 3943 y(NNLO)25 b Fo(\037)p FD(PT)g(corrections)g(are)g(assumed)g(to)g(b)s(e)g (negligible.)37 b(The)26 b(form)m(ulae)d(ab)s(o)m(v)m(e)j(dep)s(end)120 4064 y(on)j(four)f(unkno)m(wn)j(parameters,)e Fo(B)1467 4079 y FA(0)1507 4064 y FD(,)g Fo(F)14 b FD(,)30 b(\003)1765 4079 y FA(3)1833 4064 y FD(and)f(\003)2087 4079 y FA(4)2126 4064 y FD(,)g(whic)m(h)h(will)c(b)s(e)j(determined)g(b)m(y)h(the)120 4184 y(\014t.)266 4304 y(W)-8 b(e)51 b(determine)f Fo(a\026)1035 4319 y Fz(\031)1082 4304 y FD(,)55 b(the)c(v)-5 b(alue)50 b(of)g Fo(a\026)h FD(at)f(whic)m(h)h(the)g(pion)e(assumes)j(its)e(ph)m (ys-)120 4425 y(ical)i(mass,)58 b(b)m(y)d(requiring)d(that)h(the)h (ratio)e([)1906 4339 y Fl(p)p 2006 4339 604 4 v 86 x FD([)p Fo(m)2118 4390 y FA(2)2118 4452 y(PS)2210 4425 y FD(\()p Fo(L)28 b FD(=)f Fp(1)p FD(\)])p Fo(=f)2707 4440 y FA(PS)2798 4425 y FD(\()p Fo(L)64 b FD(=)f Fp(1)p FD(\)])53 b(tak)m(es)120 4545 y(the)42 b(v)-5 b(alue)41 b(\(139)p Fo(:)p FD(6)p Fo(=)p FD(130)p Fo(:)p FD(7\))g(=)i(1)p Fo(:)p FD(068.)70 b(F)-8 b(rom)40 b(the)i(kno)m(wledge)g(of)f Fo(a\026)2761 4560 y Fz(\031)2850 4545 y FD(w)m(e)i(can)e(ev)-5 b(aluate)119 4639 y(\026)120 4665 y Fo(l)149 4680 y FA(3)p Fz(;)p FA(4)271 4665 y Fp(\021)28 b FD(log\(\003)608 4629 y FA(2)608 4690 y(3)p Fz(;)p FA(4)702 4665 y Fo(=m)836 4629 y FA(2)836 4690 y Fz(\031)883 4665 y FD(\))33 b(and)f(using)h Fo(f)1447 4680 y Fz(\031)1526 4665 y FD(the)g(v)-5 b(alue)32 b(of)g(the)h(lattice)f(spacing)g Fo(a)h FD(in)e(fm.)266 4786 y(In)j(order)g(to)g(estimate)f(the)h(statistical)d(errors)j (a\013ecting)g(our)f(\014t)h(v)-5 b(alues)34 b(w)m(e)g(generate)120 4906 y(at)h(eac)m(h)h(of)f(the)h Fo(\026)p FD(-v)-5 b(alues)34 b(1000)g(b)s(o)s(otstrap)h(samples)g(for)g Fo(m)2415 4921 y FA(PS)2542 4906 y FD(and)g Fo(f)2782 4921 y FA(PS)2909 4906 y FD(extracted)h(from)120 5027 y(the)g(bare)f(correlators,)g(blo)s (c)m(k)m(ed)h(with)f(blo)s(c)m(k-size)g(of)g(32.)51 b(F)-8 b(or)34 b(eac)m(h)i(sample)f(\(com)m(bining)120 5147 y(all)40 b(masses\))j(w)m(e)g(then)g(\014t)g Fo(m)1239 5111 y FA(2)1239 5172 y(PS)1372 5147 y FD(and)g Fo(f)1620 5162 y FA(PS)1753 5147 y FD(sim)m(ultaneously)e(as)i(a)f(function)g(of) f Fo(\026)p FD(.)72 b(F)-8 b(rom)120 5267 y(the)32 b(1000)e(\014ts)i(w) m(e)h(obtain)d(1000)g(b)s(o)s(otstrap)h(samples)g(for)g(2)p Fo(aB)2475 5282 y FA(0)2515 5267 y FD(,)g Fo(aF)14 b FD(,)32 b(log\()p Fo(a)2975 5231 y FA(2)3015 5267 y FD(\003)3083 5231 y FA(2)3083 5292 y(3)p Fz(;)p FA(4)3177 5267 y FD(\),)f Fo(a\026)3383 5282 y Fz(\031)3430 5267 y FD(,)h Fo(a)p Black 120 5372 1368 4 v 232 5433 a Fy(2)269 5463 y SDict begin H.S end 269 5463 a Black Black 269 5463 a SDict begin H.R end 269 5463 a 269 5463 a SDict begin [/View [/XYZ H.V]/Dest (Hfootnote.2) cvn /DEST pdfmark end 269 5463 a Fw(Concerning)27 b(results)g(on)g(the)h(neutral)f(pion)h(mass,)f Fd(am)2045 5433 y Fy(0)2045 5486 y(PS)2130 5463 y Fw(,)h(see)f(section) g(\()2624 5463 y SDict begin H.S end 2624 5463 a Black Fw(3.4)p Black 2731 5409 a SDict begin H.R end 2731 5409 a 2731 5463 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (subsection.3.4) cvn H.B /ANN pdfmark end 2731 5463 a Fw(\).)p Black Black 1806 5712 a FD(8)p Black eop end end %%Page: 9 10 TeXDict begin HPSdict begin 9 9 bop 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 112 -8 a SDict begin H.S end 112 -8 a Black Black 112 -8 a SDict begin H.R end 112 -8 a 112 -8 a SDict begin [/View [/XYZ H.V]/Dest (page.9) cvn /DEST pdfmark end 112 -8 a Black Black 120 407 a FD(and)308 381 y(\026)309 407 y Fo(l)338 422 y FA(3)p Fz(;)p FA(4)432 407 y FD(,)32 b(resp)s(ectiv)m(ely)-8 b(,)33 b(from)d(whic)m(h)j(w)m(e)f(compute)g (the)g(corresp)s(onding)g(error)f(estimates,)120 527 y(taking)h(in)g(this)g(w)m(a)m(y)i(the)f(statistical)d(correlation)h(b) s(et)m(w)m(een)j Fo(f)2448 542 y FA(PS)2572 527 y FD(and)f Fo(m)2847 542 y FA(PS)2971 527 y FD(in)m(to)f(accoun)m(t.)266 648 y(F)-8 b(or)31 b(our)h(ligh)m(test)f(four)h Fo(\026)p FD(-v)-5 b(alues,)31 b(w)m(e)i(\014nd)f(an)g(excellen)m(t)g(\014t)g(to) g(our)f(data)h(on)g Fo(f)3260 663 y FA(PS)3383 648 y FD(and)120 768 y Fo(m)205 783 y FA(PS)329 768 y FD(\(see)i(\014gures) 834 768 y SDict begin H.S end 834 768 a Black FD(2)p Black 883 704 a SDict begin H.R end 883 704 a 883 768 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (figure.2) cvn H.B /ANN pdfmark end 883 768 a 33 w FD(and)1105 768 y SDict begin H.S end 1105 768 a Black FD(3)p Black 1154 704 a SDict begin H.R end 1154 704 a 1154 768 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (figure.3) cvn H.B /ANN pdfmark end 1154 768 a FD(\).)43 b(The)34 b(\014tted)f(v)-5 b(alues)33 b(of)f(the)h(four)f(parameters)g(are)120 1207 y SDict begin H.S end 120 1207 a 120 1207 a SDict begin 14.5 H.A end 120 1207 a 120 1207 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.8) cvn /DEST pdfmark end 120 1207 a 1395 976 a FD(2)p Fo(aB)1569 991 y FA(0)1733 976 y FD(=)p 1 TeXcolorgray 126 w Fp(\000)p Black FD(4)p Fo(:)p FD(99\(6\))17 b Fo(;)1480 1121 y(aF)139 b FD(=)p 1 TeXcolorgray 126 w Fp(\000)p Black FD(0)p Fo(:)p FD(0534\(6\))17 b Fo(;)1209 1266 y FD(log\()p Fo(a)1424 1225 y FA(2)1463 1266 y FD(\003)1531 1225 y FA(2)1531 1291 y(3)1570 1266 y FD(\))125 b(=)h Fp(\000)p FD(1)p Fo(:)p FD(93\(10\))17 b Fo(;)1209 1412 y FD(log\()p Fo(a)1424 1370 y FA(2)1463 1412 y FD(\003)1531 1370 y FA(2)1531 1436 y(4)1570 1412 y FD(\))125 b(=)h Fp(\000)p FD(1)p Fo(:)p FD(06\(4\))32 b Fo(:)3415 1195 y FD(\(8\))120 1621 y(Our)h(data)f(are)g(clearly)g(sensitiv)m(e)h(to)f (\003)1595 1636 y FA(3)1667 1621 y FD(as)h(visualised)f(in)f(\014gure) 2614 1646 y SDict begin H.S end 2614 1646 a Black -25 x FD(2\(a\))p Black 2788 1546 a SDict begin H.R end 2788 1546 a 2788 1621 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (subfigure.2.1) cvn H.B /ANN pdfmark end 2788 1621 a FD(.)43 b(W)-8 b(e)33 b(obtain)662 1832 y SDict begin H.S end 662 1832 a 662 1832 a SDict begin 14.5 H.A end 662 1832 a 662 1832 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.9) cvn /DEST pdfmark end 662 1832 a Fo(a\026)772 1847 y Fz(\031)847 1832 y FD(=)27 b(0)p Fo(:)p FD(00078\(2\))p Fo(;)1633 1805 y FD(\026)1633 1832 y Fo(l)1662 1847 y FA(3)1730 1832 y FD(=)g(3)p Fo(:)p FD(65\(12\))p Fo(;)2418 1805 y FD(\026)2419 1832 y Fo(l)2448 1847 y FA(4)2515 1832 y FD(=)h(4)p Fo(:)p FD(52\(06\))448 b(\(9\))120 2042 y(whic)m(h)45 b(compares)g(nicely)g(with)f(other)h(determinations) f(\(for)g(a)h(review)g(see)h(Ref.)f([)3350 2042 y SDict begin H.S end 3350 2042 a Black FD(73)p Black 3448 1978 a SDict begin H.R end 3448 1978 a 3448 2042 a SDict begin [/Color [0 1 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (cite.Leutwyler:2006qq) cvn H.B /ANN pdfmark end 3448 2042 a FD(]\).)120 2163 y(Including)c(also)h(our)g(results) g(from)f Fo(a\026)j FD(=)g(0)p Fo(:)p FD(0150)d(in)g(the)i(\014t)f(giv) m(es)g(an)g(acceptable)h(de-)120 2283 y(scription)f(of)h Fo(m)739 2247 y FA(2)739 2308 y(PS)874 2283 y FD(but)h(misses)g(the)g (data)f(for)f Fo(f)1994 2298 y FA(PS)2086 2283 y FD(,)k(as)e(sho)m(wn)g (in)f(\014gures)3041 2308 y SDict begin H.S end 3041 2308 a Black -25 x FD(2\(b\))p Black 3220 2208 a SDict begin H.R end 3220 2208 a 3220 2283 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (subfigure.2.2) cvn H.B /ANN pdfmark end 3220 2283 a 44 w FD(and)3464 2283 y SDict begin H.S end 3464 2283 a Black FD(3)p Black 3513 2219 a SDict begin H.R end 3513 2219 a 3513 2283 a SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/BS <</S/S/W 1>>/Subtype /Link/Dest (figure.3) cvn H.B /ANN pdfmark end 3513 2283 a FD(.)120 2403 y(Note,)33 b(ho)m(w)m(ev)m(er,)h(that)e(in)g(Eqs.)h(\()1361 2403 y SDict begin H.S end 1361 2403 a Black FD(5)p Black 1410 2339 a SDict begin H.R end 1410 2339 a 1410 2403 a 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/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef ] def TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2 index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0 ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{ pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get div def}ifelse}forall Metrics/Metrics currentdict end def}{{1 index type /nametype eq{exit}if exch pop}loop}ifelse[2 index currentdict end definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[ exch{dup CharStrings exch known not{pop/.notdef/Encoding true def}if} forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def}def end TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N /vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N /rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N /@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{ /hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B /@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{ /urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known {userdict/md get type/dicttype eq{userdict begin md length 10 add md maxlength ge{/md md dup length 20 add dict copy def}if end md begin /letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{ itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack} if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 -1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{ noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop 90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr 2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 -1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{ Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale }if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState save N userdict maxlength dict begin/magscale true def normalscale currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts /psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def @MacSetUp}N/doclip{psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N /@beginspecial{SDict begin/SpecialSave save N gsave normalscale currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N} N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip}if/showpage{}N/erasepage{}N /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 TeXDict begin/setcmykcolor where{pop}{/setcmykcolor{dup 10 eq{pop setrgbcolor}{1 sub 4 1 roll 3{3 index add neg dup 0 lt{pop 0}if 3 1 roll }repeat setrgbcolor pop}ifelse}B}ifelse/TeXcolorcmyk{setcmykcolor}def /TeXcolorrgb{setrgbcolor}def/TeXcolorgrey{setgray}def/TeXcolorgray{ setgray}def/TeXcolorhsb{sethsbcolor}def/currentcmykcolor where{pop}{ /currentcmykcolor{currentrgbcolor 10}B}ifelse/DC{exch dup userdict exch known{pop pop}{X}ifelse}B/GreenYellow{0.15 0 0.69 0 setcmykcolor}DC /Yellow{0 0 1 0 setcmykcolor}DC/Goldenrod{0 0.10 0.84 0 setcmykcolor}DC /Dandelion{0 0.29 0.84 0 setcmykcolor}DC/Apricot{0 0.32 0.52 0 setcmykcolor}DC/Peach{0 0.50 0.70 0 setcmykcolor}DC/Melon{0 0.46 0.50 0 setcmykcolor}DC/YellowOrange{0 0.42 1 0 setcmykcolor}DC/Orange{0 0.61 0.87 0 setcmykcolor}DC/BurntOrange{0 0.51 1 0 setcmykcolor}DC /Bittersweet{0 0.75 1 0.24 setcmykcolor}DC/RedOrange{0 0.77 0.87 0 setcmykcolor}DC/Mahogany{0 0.85 0.87 0.35 setcmykcolor}DC/Maroon{0 0.87 0.68 0.32 setcmykcolor}DC/BrickRed{0 0.89 0.94 0.28 setcmykcolor}DC/Red{ 0 1 1 0 setcmykcolor}DC/OrangeRed{0 1 0.50 0 setcmykcolor}DC/RubineRed{ 0 1 0.13 0 setcmykcolor}DC/WildStrawberry{0 0.96 0.39 0 setcmykcolor}DC /Salmon{0 0.53 0.38 0 setcmykcolor}DC/CarnationPink{0 0.63 0 0 setcmykcolor}DC/Magenta{0 1 0 0 setcmykcolor}DC/VioletRed{0 0.81 0 0 setcmykcolor}DC/Rhodamine{0 0.82 0 0 setcmykcolor}DC/Mulberry{0.34 0.90 0 0.02 setcmykcolor}DC/RedViolet{0.07 0.90 0 0.34 setcmykcolor}DC /Fuchsia{0.47 0.91 0 0.08 setcmykcolor}DC/Lavender{0 0.48 0 0 setcmykcolor}DC/Thistle{0.12 0.59 0 0 setcmykcolor}DC/Orchid{0.32 0.64 0 0 setcmykcolor}DC/DarkOrchid{0.40 0.80 0.20 0 setcmykcolor}DC/Purple{ 0.45 0.86 0 0 setcmykcolor}DC/Plum{0.50 1 0 0 setcmykcolor}DC/Violet{ 0.79 0.88 0 0 setcmykcolor}DC/RoyalPurple{0.75 0.90 0 0 setcmykcolor}DC /BlueViolet{0.86 0.91 0 0.04 setcmykcolor}DC/Periwinkle{0.57 0.55 0 0 setcmykcolor}DC/CadetBlue{0.62 0.57 0.23 0 setcmykcolor}DC /CornflowerBlue{0.65 0.13 0 0 setcmykcolor}DC/MidnightBlue{0.98 0.13 0 0.43 setcmykcolor}DC/NavyBlue{0.94 0.54 0 0 setcmykcolor}DC/RoyalBlue{1 0.50 0 0 setcmykcolor}DC/Blue{1 1 0 0 setcmykcolor}DC/Cerulean{0.94 0.11 0 0 setcmykcolor}DC/Cyan{1 0 0 0 setcmykcolor}DC/ProcessBlue{0.96 0 0 0 setcmykcolor}DC/SkyBlue{0.62 0 0.12 0 setcmykcolor}DC/Turquoise{0.85 0 0.20 0 setcmykcolor}DC/TealBlue{0.86 0 0.34 0.02 setcmykcolor}DC /Aquamarine{0.82 0 0.30 0 setcmykcolor}DC/BlueGreen{0.85 0 0.33 0 setcmykcolor}DC/Emerald{1 0 0.50 0 setcmykcolor}DC/JungleGreen{0.99 0 0.52 0 setcmykcolor}DC/SeaGreen{0.69 0 0.50 0 setcmykcolor}DC/Green{1 0 1 0 setcmykcolor}DC/ForestGreen{0.91 0 0.88 0.12 setcmykcolor}DC /PineGreen{0.92 0 0.59 0.25 setcmykcolor}DC/LimeGreen{0.50 0 1 0 setcmykcolor}DC/YellowGreen{0.44 0 0.74 0 setcmykcolor}DC/SpringGreen{ 0.26 0 0.76 0 setcmykcolor}DC/OliveGreen{0.64 0 0.95 0.40 setcmykcolor} DC/RawSienna{0 0.72 1 0.45 setcmykcolor}DC/Sepia{0 0.83 1 0.70 setcmykcolor}DC/Brown{0 0.81 1 0.60 setcmykcolor}DC/Tan{0.14 0.42 0.56 0 setcmykcolor}DC/Gray{0 0 0 0.50 setcmykcolor}DC/Black{0 0 0 1 setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueID 5000790 def currentdict end currentfile eexec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cleartomark % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec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cleartomark % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF7158F1163BC1F3352E22A1452E73FECA8A4 87100FB1FFC4C8AF409B2067537220E605DA0852CA49839E1386AF9D7A1A455F 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cleartomark TeXDict begin 39158280 55380996 1000 600 600 (wrapper.dvi) @start /Fa 172[37 2[45 29[33 50[{ TeXf7b6d320Encoding ReEncodeFont }3 58.1154 /CMR7 rf /Fb 146[73 11[44 35[42 38[50 22[{ TeXaae443f0Encoding ReEncodeFont }4 83.022 /CMMI10 rf /Fc 199[42 1[42 42 42 1[42 42 42 1[23 4[32 32 40[{ TeXf7b6d320Encoding ReEncodeFont }10 83.022 /CMR10 rf end TeXDict begin end TeXDict begin 1 0 bop Black Black 639 2240 a @beginspecial 0 @llx 0 @lly 360 @urx 216 @ury 3600 @rwi @setspecial /gnudict 256 dict def gnudict begin /Color true def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -33 def /dl {10.0 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /Rounded false def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /N {newpath moveto} bind def /C {setrgbcolor} bind def /f {rlineto fill} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /AL { stroke userlinewidth 2 div setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /UL { dup gnulinewidth mul /userlinewidth exch def dup 1 lt {pop 1} if 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /LTw { PL [] 1 setgray } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def /BoxColFill { gsave Rec /Fillden exch def currentrgbcolor /ColB exch def /ColG exch def /ColR exch def /ColR ColR Fillden mul Fillden sub 1 add def /ColG ColG Fillden mul Fillden sub 1 add def /ColB ColB Fillden mul Fillden sub 1 add def ColR ColG ColB setrgbcolor fill grestore } def % % PostScript Level 1 Pattern Fill routine % Usage: x y w h s a XX PatternFill % x,y = lower left corner of box to be filled % w,h = width and height of box % a = angle in degrees between lines and x-axis % XX = 0/1 for no/yes cross-hatch % /PatternFill { gsave /PFa [ 9 2 roll ] def PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec gsave 1 setgray fill grestore clip currentlinewidth 0.5 mul setlinewidth /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def 0 0 M PFa 5 get rotate PFs -2 div dup translate 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 M 0 PFs V } for 0 PFa 6 get ne { 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 2 1 roll M PFs 0 V } for } if stroke grestore } def % /Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall currentdict end definefont pop end gnudict begin gsave 0 0 translate 0.100 0.100 scale 0 setgray newpath 1.000 UL LTb 300 200 M 31 0 V 1829 0 R -31 0 V 300 333 M 31 0 V 1829 0 R -31 0 V 300 466 M 63 0 V 1797 0 R -63 0 V 1.000 UL LTb 300 599 M 31 0 V 1829 0 R -31 0 V 300 731 M 31 0 V 1829 0 R -31 0 V 300 864 M 31 0 V 1829 0 R -31 0 V 300 997 M 63 0 V 1797 0 R -63 0 V 1.000 UL LTb 300 1130 M 31 0 V 1829 0 R -31 0 V 300 1263 M 31 0 V 1829 0 R -31 0 V 300 1396 M 31 0 V 1829 0 R -31 0 V 300 1529 M 63 0 V 1797 0 R -63 0 V 1.000 UL LTb 300 1661 M 31 0 V 1829 0 R -31 0 V 300 1794 M 31 0 V 1829 0 R -31 0 V 300 1927 M 31 0 V 1829 0 R -31 0 V 300 2060 M 63 0 V 1797 0 R -63 0 V 1.000 UL LTb 300 200 M 0 63 V 0 1797 R 0 -63 V 1.000 UL LTb 403 200 M 0 31 V 0 1829 R 0 -31 V 507 200 M 0 31 V 0 1829 R 0 -31 V 610 200 M 0 31 V 0 1829 R 0 -31 V 713 200 M 0 63 V 0 1797 R 0 -63 V 1.000 UL LTb 817 200 M 0 31 V 0 1829 R 0 -31 V 920 200 M 0 31 V 0 1829 R 0 -31 V 1023 200 M 0 31 V 0 1829 R 0 -31 V 1127 200 M 0 63 V 0 1797 R 0 -63 V 1.000 UL LTb 1230 200 M 0 31 V 0 1829 R 0 -31 V 1333 200 M 0 31 V 0 1829 R 0 -31 V 1437 200 M 0 31 V 0 1829 R 0 -31 V 1540 200 M 0 63 V 0 1797 R 0 -63 V 1.000 UL LTb 1643 200 M 0 31 V 0 1829 R 0 -31 V 1747 200 M 0 31 V 0 1829 R 0 -31 V 1850 200 M 0 31 V 0 1829 R 0 -31 V 1953 200 M 0 63 V 0 1797 R 0 -63 V 1.000 UL LTb 2057 200 M 0 31 V 0 1829 R 0 -31 V 2160 200 M 0 31 V 0 1829 R 0 -31 V 1.000 UL LTb 300 200 M 1860 0 V 0 1860 V -1860 0 V 300 200 L 0.500 UP LTb LTb 0.500 UP 1.000 UL LT0 713 770 M 0 243 V 682 770 M 62 0 V -62 243 R 62 0 V 961 577 M 0 101 V 930 577 M 62 0 V 930 678 M 62 0 V 1178 452 M 0 121 V 1147 452 M 62 0 V -62 121 R 62 0 V 1333 420 M 0 116 V 1302 420 M 62 0 V -62 116 R 62 0 V 486 17 R 0 128 V 1819 553 M 62 0 V -62 128 R 62 0 V 713 892 BoxF 961 627 BoxF 1178 513 BoxF 1333 478 BoxF 1850 617 BoxF 1.000 UL LT0 352 1760 M 20 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b(0)742 550 y(5.0)742 993 y(4.8)742 1436 y(4.6)742 1878 y(4.4)p Black Black eop end userdict /end-hook known{end-hook}if %%EndDocument @endspecial 943 1925 a Fw(\(a\))1862 1805 y SDict begin H.S end 1862 1805 a 1862 1805 a SDict begin 14.5 H.A end 1862 1805 a 1862 1805 a SDict begin [/View [/XYZ H.V]/Dest (subfigure.2.2) cvn /DEST pdfmark end 1862 1805 a @beginspecial 166 @llx 507 @lly 376 @urx 711 @ury 1846 @rwi @setspecial %%BeginDocument: plots/mpssqr_chiral.eps %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips wrapper.dvi %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2006.12.18:1230 /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 round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3 1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{ rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B /chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{ /cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{ A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse} ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17 {2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{ 1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop} forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end % Thomas Esser, Dec 2002. public domain % % Encoding for: % cmb10 cmbx10 cmbx12 cmbx5 cmbx6 cmbx7 cmbx8 cmbx9 cmbxsl10 % cmdunh10 cmr10 cmr12 cmr17cmr6 cmr7 cmr8 cmr9 cmsl10 cmsl12 cmsl8 % cmsl9 cmss10cmss12 cmss17 cmss8 cmss9 cmssbx10 cmssdc10 cmssi10 % cmssi12 cmssi17 cmssi8cmssi9 cmssq8 cmssqi8 cmvtt10 % /TeXf7b6d320Encoding [ /Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega /ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute /caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE /OE /Oslash /suppress /exclam 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/ring /cedilla /germandbls /ae /oe /oslash /AE /OE /Oslash /suppress /dieresis /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef ] def % Thomas Esser, Dec 2002. public domain % % Encoding for: % cmmi10 cmmi12 cmmi5 cmmi6 cmmi7 cmmi8 cmmi9 cmmib10 % /TeXaae443f0Encoding [ /Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega /alpha /beta /gamma /delta /epsilon1 /zeta /eta /theta /iota /kappa /lambda /mu /nu /xi /pi /rho /sigma /tau /upsilon /phi /chi /psi /omega /epsilon /theta1 /pi1 /rho1 /sigma1 /phi1 /arrowlefttophalf /arrowleftbothalf /arrowrighttophalf /arrowrightbothalf /arrowhookleft /arrowhookright /triangleright /triangleleft /zerooldstyle /oneoldstyle /twooldstyle /threeoldstyle /fouroldstyle /fiveoldstyle /sixoldstyle /sevenoldstyle /eightoldstyle /nineoldstyle /period /comma /less /slash /greater /star /partialdiff /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /flat /natural /sharp /slurbelow /slurabove /lscript /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u /v /w /x /y /z /dotlessi /dotlessj /weierstrass /vector /tie /psi /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space /Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /.notdef /.notdef /Omega /alpha /beta /gamma /delta /epsilon1 /zeta /eta /theta /iota /kappa /lambda /mu /nu /xi /pi /rho /sigma /tau /upsilon /phi /chi /psi /tie /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef ] def TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2 index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0 ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{ pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get div def}ifelse}forall Metrics/Metrics currentdict end def}{{1 index type /nametype eq{exit}if exch pop}loop}ifelse[2 index currentdict end definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[ exch{dup CharStrings exch known not{pop/.notdef/Encoding true def}if} forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def}def end TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N /vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N /rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N /@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{ /hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B /@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{ /urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known {userdict/md get type/dicttype eq{userdict begin md length 10 add md maxlength ge{/md md dup length 20 add dict copy def}if end md begin /letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{ itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack} if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 -1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{ noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop 90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr 2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 -1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{ Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale }if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState save N userdict maxlength dict begin/magscale true def normalscale currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts /psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def @MacSetUp}N/doclip{psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N /@beginspecial{SDict begin/SpecialSave save N gsave normalscale currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N} N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip}if/showpage{}N/erasepage{}N /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 TeXDict begin/setcmykcolor where{pop}{/setcmykcolor{dup 10 eq{pop setrgbcolor}{1 sub 4 1 roll 3{3 index add neg dup 0 lt{pop 0}if 3 1 roll }repeat setrgbcolor pop}ifelse}B}ifelse/TeXcolorcmyk{setcmykcolor}def /TeXcolorrgb{setrgbcolor}def/TeXcolorgrey{setgray}def/TeXcolorgray{ setgray}def/TeXcolorhsb{sethsbcolor}def/currentcmykcolor where{pop}{ /currentcmykcolor{currentrgbcolor 10}B}ifelse/DC{exch dup userdict exch known{pop pop}{X}ifelse}B/GreenYellow{0.15 0 0.69 0 setcmykcolor}DC /Yellow{0 0 1 0 setcmykcolor}DC/Goldenrod{0 0.10 0.84 0 setcmykcolor}DC /Dandelion{0 0.29 0.84 0 setcmykcolor}DC/Apricot{0 0.32 0.52 0 setcmykcolor}DC/Peach{0 0.50 0.70 0 setcmykcolor}DC/Melon{0 0.46 0.50 0 setcmykcolor}DC/YellowOrange{0 0.42 1 0 setcmykcolor}DC/Orange{0 0.61 0.87 0 setcmykcolor}DC/BurntOrange{0 0.51 1 0 setcmykcolor}DC /Bittersweet{0 0.75 1 0.24 setcmykcolor}DC/RedOrange{0 0.77 0.87 0 setcmykcolor}DC/Mahogany{0 0.85 0.87 0.35 setcmykcolor}DC/Maroon{0 0.87 0.68 0.32 setcmykcolor}DC/BrickRed{0 0.89 0.94 0.28 setcmykcolor}DC/Red{ 0 1 1 0 setcmykcolor}DC/OrangeRed{0 1 0.50 0 setcmykcolor}DC/RubineRed{ 0 1 0.13 0 setcmykcolor}DC/WildStrawberry{0 0.96 0.39 0 setcmykcolor}DC /Salmon{0 0.53 0.38 0 setcmykcolor}DC/CarnationPink{0 0.63 0 0 setcmykcolor}DC/Magenta{0 1 0 0 setcmykcolor}DC/VioletRed{0 0.81 0 0 setcmykcolor}DC/Rhodamine{0 0.82 0 0 setcmykcolor}DC/Mulberry{0.34 0.90 0 0.02 setcmykcolor}DC/RedViolet{0.07 0.90 0 0.34 setcmykcolor}DC /Fuchsia{0.47 0.91 0 0.08 setcmykcolor}DC/Lavender{0 0.48 0 0 setcmykcolor}DC/Thistle{0.12 0.59 0 0 setcmykcolor}DC/Orchid{0.32 0.64 0 0 setcmykcolor}DC/DarkOrchid{0.40 0.80 0.20 0 setcmykcolor}DC/Purple{ 0.45 0.86 0 0 setcmykcolor}DC/Plum{0.50 1 0 0 setcmykcolor}DC/Violet{ 0.79 0.88 0 0 setcmykcolor}DC/RoyalPurple{0.75 0.90 0 0 setcmykcolor}DC /BlueViolet{0.86 0.91 0 0.04 setcmykcolor}DC/Periwinkle{0.57 0.55 0 0 setcmykcolor}DC/CadetBlue{0.62 0.57 0.23 0 setcmykcolor}DC /CornflowerBlue{0.65 0.13 0 0 setcmykcolor}DC/MidnightBlue{0.98 0.13 0 0.43 setcmykcolor}DC/NavyBlue{0.94 0.54 0 0 setcmykcolor}DC/RoyalBlue{1 0.50 0 0 setcmykcolor}DC/Blue{1 1 0 0 setcmykcolor}DC/Cerulean{0.94 0.11 0 0 setcmykcolor}DC/Cyan{1 0 0 0 setcmykcolor}DC/ProcessBlue{0.96 0 0 0 setcmykcolor}DC/SkyBlue{0.62 0 0.12 0 setcmykcolor}DC/Turquoise{0.85 0 0.20 0 setcmykcolor}DC/TealBlue{0.86 0 0.34 0.02 setcmykcolor}DC /Aquamarine{0.82 0 0.30 0 setcmykcolor}DC/BlueGreen{0.85 0 0.33 0 setcmykcolor}DC/Emerald{1 0 0.50 0 setcmykcolor}DC/JungleGreen{0.99 0 0.52 0 setcmykcolor}DC/SeaGreen{0.69 0 0.50 0 setcmykcolor}DC/Green{1 0 1 0 setcmykcolor}DC/ForestGreen{0.91 0 0.88 0.12 setcmykcolor}DC /PineGreen{0.92 0 0.59 0.25 setcmykcolor}DC/LimeGreen{0.50 0 1 0 setcmykcolor}DC/YellowGreen{0.44 0 0.74 0 setcmykcolor}DC/SpringGreen{ 0.26 0 0.76 0 setcmykcolor}DC/OliveGreen{0.64 0 0.95 0.40 setcmykcolor} DC/RawSienna{0 0.72 1 0.45 setcmykcolor}DC/Sepia{0 0.83 1 0.70 setcmykcolor}DC/Brown{0 0.81 1 0.60 setcmykcolor}DC/Tan{0.14 0.42 0.56 0 setcmykcolor}DC/Gray{0 0 0 0.50 setcmykcolor}DC/Black{0 0 0 1 setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueID 5000790 def currentdict end currentfile eexec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cleartomark % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec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cleartomark % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark TeXDict begin 39158280 55380996 1000 600 600 (wrapper.dvi) @start /Fa 172[37 2[45 29[33 50[{ TeXf7b6d320Encoding ReEncodeFont }3 58.1154 /CMR7 rf /Fb 146[73 11[44 74[50 22[{ TeXaae443f0Encoding ReEncodeFont }3 83.022 /CMMI10 rf /Fc 139[32 33 2[46 42 46 4[23 48[42 1[42 42 42 1[42 42 42 1[23 4[32 32 27[46 12[{ TeXf7b6d320Encoding ReEncodeFont }17 83.022 /CMR10 rf end TeXDict begin end TeXDict begin 1 0 bop Black Black 639 2240 a @beginspecial 0 @llx 0 @lly 360 @urx 216 @ury 3600 @rwi @setspecial /gnudict 256 dict def gnudict begin /Color true def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -33 def /dl {10.0 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /Rounded false def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /N {newpath moveto} bind def /C {setrgbcolor} bind def /f {rlineto fill} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /AL { stroke userlinewidth 2 div setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /UL { dup gnulinewidth mul /userlinewidth exch def dup 1 lt {pop 1} if 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /LTw { PL [] 1 setgray } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def /BoxColFill { gsave Rec /Fillden exch def currentrgbcolor /ColB exch def /ColG exch def /ColR exch def /ColR ColR Fillden mul Fillden sub 1 add def /ColG ColG Fillden mul Fillden sub 1 add def /ColB ColB Fillden mul Fillden sub 1 add def ColR ColG ColB setrgbcolor fill grestore } def % % PostScript Level 1 Pattern Fill routine % Usage: x y w h s a XX PatternFill % x,y = lower left corner of box to be filled % w,h = width and height of box % a = angle in degrees between lines and x-axis % XX = 0/1 for no/yes cross-hatch % /PatternFill { gsave /PFa [ 9 2 roll ] def PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec gsave 1 setgray fill grestore clip currentlinewidth 0.5 mul setlinewidth /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def 0 0 M PFa 5 get rotate PFs -2 div dup translate 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 M 0 PFs V } for 0 PFa 6 get ne { 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 2 1 roll M PFs 0 V } for } if stroke grestore } def % /Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall currentdict end definefont pop end gnudict begin gsave 0 0 translate 0.100 0.100 scale 0 setgray newpath 1.000 UL LTb 400 200 M 63 0 V 1797 0 R -63 0 V 1.000 UL LTb 400 316 M 31 0 V 1829 0 R -31 0 V 400 433 M 31 0 V 1829 0 R -31 0 V 400 549 M 31 0 V 1829 0 R -31 0 V 400 665 M 63 0 V 1797 0 R -63 0 V 1.000 UL LTb 400 781 M 31 0 V 1829 0 R -31 0 V 400 898 M 31 0 V 1829 0 R -31 0 V 400 1014 M 31 0 V 1829 0 R -31 0 V 400 1130 M 63 0 V 1797 0 R -63 0 V 1.000 UL LTb 400 1246 M 31 0 V 1829 0 R -31 0 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/rho /sigma /tau /upsilon /phi /chi /psi /tie /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef ] def TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2 index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0 ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{ pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get div def}ifelse}forall Metrics/Metrics currentdict end def}{{1 index type /nametype eq{exit}if exch pop}loop}ifelse[2 index currentdict end definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[ exch{dup CharStrings exch known not{pop/.notdef/Encoding true def}if} forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def}def end TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N /vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N /rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N /@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{ /hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B /@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{ /urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known {userdict/md get type/dicttype eq{userdict begin md length 10 add md maxlength ge{/md md dup length 20 add dict copy def}if end md begin /letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{ itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack} if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1 -1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{ noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop 90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr 1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr 2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4 -1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{ Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale }if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState save N userdict maxlength dict begin/magscale true def normalscale currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts /psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub TR/showpage{}N/erasepage{}N/setpagedevice{pop}N/copypage{}N/p 3 def @MacSetUp}N/doclip{psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2 roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath moveto}N/endTexFig{end psf$SavedState restore}N /@beginspecial{SDict begin/SpecialSave save N gsave normalscale currentpoint TR @SpecialDefaults count/ocount X/dcount countdictstack N} N/@setspecial{CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR}{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury lineto closepath clip}if/showpage{}N/erasepage{}N /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 TeXDict begin/setcmykcolor where{pop}{/setcmykcolor{dup 10 eq{pop setrgbcolor}{1 sub 4 1 roll 3{3 index add neg dup 0 lt{pop 0}if 3 1 roll }repeat setrgbcolor pop}ifelse}B}ifelse/TeXcolorcmyk{setcmykcolor}def /TeXcolorrgb{setrgbcolor}def/TeXcolorgrey{setgray}def/TeXcolorgray{ setgray}def/TeXcolorhsb{sethsbcolor}def/currentcmykcolor where{pop}{ /currentcmykcolor{currentrgbcolor 10}B}ifelse/DC{exch dup userdict exch known{pop pop}{X}ifelse}B/GreenYellow{0.15 0 0.69 0 setcmykcolor}DC /Yellow{0 0 1 0 setcmykcolor}DC/Goldenrod{0 0.10 0.84 0 setcmykcolor}DC /Dandelion{0 0.29 0.84 0 setcmykcolor}DC/Apricot{0 0.32 0.52 0 setcmykcolor}DC/Peach{0 0.50 0.70 0 setcmykcolor}DC/Melon{0 0.46 0.50 0 setcmykcolor}DC/YellowOrange{0 0.42 1 0 setcmykcolor}DC/Orange{0 0.61 0.87 0 setcmykcolor}DC/BurntOrange{0 0.51 1 0 setcmykcolor}DC /Bittersweet{0 0.75 1 0.24 setcmykcolor}DC/RedOrange{0 0.77 0.87 0 setcmykcolor}DC/Mahogany{0 0.85 0.87 0.35 setcmykcolor}DC/Maroon{0 0.87 0.68 0.32 setcmykcolor}DC/BrickRed{0 0.89 0.94 0.28 setcmykcolor}DC/Red{ 0 1 1 0 setcmykcolor}DC/OrangeRed{0 1 0.50 0 setcmykcolor}DC/RubineRed{ 0 1 0.13 0 setcmykcolor}DC/WildStrawberry{0 0.96 0.39 0 setcmykcolor}DC /Salmon{0 0.53 0.38 0 setcmykcolor}DC/CarnationPink{0 0.63 0 0 setcmykcolor}DC/Magenta{0 1 0 0 setcmykcolor}DC/VioletRed{0 0.81 0 0 setcmykcolor}DC/Rhodamine{0 0.82 0 0 setcmykcolor}DC/Mulberry{0.34 0.90 0 0.02 setcmykcolor}DC/RedViolet{0.07 0.90 0 0.34 setcmykcolor}DC /Fuchsia{0.47 0.91 0 0.08 setcmykcolor}DC/Lavender{0 0.48 0 0 setcmykcolor}DC/Thistle{0.12 0.59 0 0 setcmykcolor}DC/Orchid{0.32 0.64 0 0 setcmykcolor}DC/DarkOrchid{0.40 0.80 0.20 0 setcmykcolor}DC/Purple{ 0.45 0.86 0 0 setcmykcolor}DC/Plum{0.50 1 0 0 setcmykcolor}DC/Violet{ 0.79 0.88 0 0 setcmykcolor}DC/RoyalPurple{0.75 0.90 0 0 setcmykcolor}DC /BlueViolet{0.86 0.91 0 0.04 setcmykcolor}DC/Periwinkle{0.57 0.55 0 0 setcmykcolor}DC/CadetBlue{0.62 0.57 0.23 0 setcmykcolor}DC /CornflowerBlue{0.65 0.13 0 0 setcmykcolor}DC/MidnightBlue{0.98 0.13 0 0.43 setcmykcolor}DC/NavyBlue{0.94 0.54 0 0 setcmykcolor}DC/RoyalBlue{1 0.50 0 0 setcmykcolor}DC/Blue{1 1 0 0 setcmykcolor}DC/Cerulean{0.94 0.11 0 0 setcmykcolor}DC/Cyan{1 0 0 0 setcmykcolor}DC/ProcessBlue{0.96 0 0 0 setcmykcolor}DC/SkyBlue{0.62 0 0.12 0 setcmykcolor}DC/Turquoise{0.85 0 0.20 0 setcmykcolor}DC/TealBlue{0.86 0 0.34 0.02 setcmykcolor}DC /Aquamarine{0.82 0 0.30 0 setcmykcolor}DC/BlueGreen{0.85 0 0.33 0 setcmykcolor}DC/Emerald{1 0 0.50 0 setcmykcolor}DC/JungleGreen{0.99 0 0.52 0 setcmykcolor}DC/SeaGreen{0.69 0 0.50 0 setcmykcolor}DC/Green{1 0 1 0 setcmykcolor}DC/ForestGreen{0.91 0 0.88 0.12 setcmykcolor}DC /PineGreen{0.92 0 0.59 0.25 setcmykcolor}DC/LimeGreen{0.50 0 1 0 setcmykcolor}DC/YellowGreen{0.44 0 0.74 0 setcmykcolor}DC/SpringGreen{ 0.26 0 0.76 0 setcmykcolor}DC/OliveGreen{0.64 0 0.95 0.40 setcmykcolor} DC/RawSienna{0 0.72 1 0.45 setcmykcolor}DC/Sepia{0 0.83 1 0.70 setcmykcolor}DC/Brown{0 0.81 1 0.60 setcmykcolor}DC/Tan{0.14 0.42 0.56 0 setcmykcolor}DC/Gray{0 0 0 0.50 setcmykcolor}DC/Black{0 0 0 1 setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-27 -250 1122 750}readonly def /UniqueID 5000790 def currentdict end currentfile eexec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cleartomark % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec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cleartomark % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 2BDBF16FBC7512FAA308A093FE5CF7158F1163BC1F3352E22A1452E73FECA8A4 87100FB1FFC4C8AF409B2067537220E605DA0852CA49839E1386AF9D7A1A455F 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currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /AL { stroke userlinewidth 2 div setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /UL { dup gnulinewidth mul /userlinewidth exch def dup 1 lt {pop 1} if 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth Rounded { 1 setlinejoin 1 setlinecap } if } def /LTw { PL [] 1 setgray } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def /BoxColFill { gsave Rec /Fillden exch def currentrgbcolor /ColB exch def /ColG exch def /ColR exch def /ColR ColR Fillden mul Fillden sub 1 add def /ColG ColG Fillden mul Fillden sub 1 add def /ColB ColB Fillden mul Fillden sub 1 add def ColR ColG ColB setrgbcolor fill grestore } def % % PostScript Level 1 Pattern Fill routine % Usage: x y w h s a XX PatternFill % x,y = lower left corner of box to be filled % w,h = width and height of box % a = angle in degrees between lines and x-axis % XX = 0/1 for no/yes cross-hatch % /PatternFill { gsave /PFa [ 9 2 roll ] def PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec gsave 1 setgray fill grestore clip currentlinewidth 0.5 mul setlinewidth /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def 0 0 M PFa 5 get rotate PFs -2 div dup translate 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 M 0 PFs V } for 0 PFa 6 get ne { 0 1 PFs PFa 4 get div 1 add floor cvi { PFa 4 get mul 0 2 1 roll M PFs 0 V } for } if stroke grestore } def % /Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall currentdict end definefont pop end gnudict begin gsave 0 0 translate 0.100 0.100 scale 0 setgray newpath 1.000 UL LTb 400 200 M 63 0 V 2987 0 R -63 0 V 1.000 UL LTb 400 432 M 31 0 V 3019 0 R -31 0 V 400 665 M 63 0 V 2987 0 R -63 0 V 1.000 UL LTb 400 898 M 31 0 V 3019 0 R -31 0 V 400 1130 M 63 0 V 2987 0 R -63 0 V 1.000 UL LTb 400 1363 M 31 0 V 3019 0 R -31 0 V 400 1595 M 63 0 V 2987 0 R -63 0 V 1.000 UL LTb 400 1828 M 31 0 V 3019 0 R -31 0 V 400 2060 M 63 0 V 2987 0 R -63 0 V 1.000 UL LTb 400 200 M 0 63 V 0 1797 R 0 -63 V 1.000 UL LTb 569 200 M 0 31 V 0 1829 R 0 -31 V 739 200 M 0 31 V 0 1829 R 0 -31 V 908 200 M 0 31 V 0 1829 R 0 -31 V 1078 200 M 0 63 V 0 1797 R 0 -63 V 1.000 UL LTb 1247 200 M 0 31 V 0 1829 R 0 -31 V 1417 200 M 0 31 V 0 1829 R 0 -31 V 1586 200 M 0 31 V 0 1829 R 0 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34 11 V 33 11 V 34 11 V 34 10 V 34 11 V 34 10 V 34 10 V 34 10 V 34 9 V 34 10 V 33 9 V 34 9 V 34 9 V 34 9 V 34 9 V 34 8 V 34 8 V 34 8 V 34 8 V 33 8 V 34 8 V 34 7 V 1.000 UL LT0 LTb LT0 2942 989 M 263 0 V 485 494 M 34 41 V 34 39 V 33 35 V 34 34 V 34 32 V 34 31 V 34 29 V 34 28 V 34 27 V 34 26 V 34 25 V 33 25 V 34 23 V 34 23 V 34 22 V 34 22 V 34 21 V 34 20 V 34 20 V 34 20 V 33 18 V 34 19 V 34 18 V 34 17 V 34 18 V 34 16 V 34 17 V 34 15 V 34 16 V 33 15 V 34 15 V 34 15 V 34 14 V 34 14 V 34 14 V 34 13 V 34 13 V 34 13 V 33 12 V 34 13 V 34 12 V 34 11 V 34 12 V 34 11 V 34 11 V 34 11 V 34 10 V 33 11 V 34 10 V 34 10 V 34 9 V 34 10 V 34 9 V 34 9 V 34 9 V 34 9 V 33 8 V 34 8 V 34 9 V 34 8 V 34 7 V 34 8 V 34 7 V 34 8 V 34 7 V 33 7 V 34 6 V 34 7 V 34 6 V 34 7 V 34 6 V 34 6 V 34 6 V 34 5 V 33 6 V 34 5 V 34 6 V 0.500 UP 1.000 UL LT0 1078 964 M 0 38 V -31 -38 R 62 0 V -62 38 R 62 0 V 375 166 R 0 33 V -31 -33 R 62 0 V -62 33 R 62 0 V 325 130 R 0 23 V -31 -23 R 62 0 V -62 23 R 62 0 V 223 43 R 0 38 V -31 -38 R 62 0 V -62 38 R 62 0 V 817 291 R 0 31 V -31 -31 R 62 0 V -62 31 R 62 0 V 1078 983 CircleF 1484 1185 CircleF 1840 1342 CircleF 2094 1416 CircleF 2942 1742 CircleF 1.000 UL LTb 400 200 M 3050 0 V 0 1860 V -3050 0 V 400 200 L 1.000 UP stroke grestore end showpage @endspecial 2551 1437 a Fc(\014t)28 b(to)f(4)g(p)r(oin)n(ts)2551 1319 y(\014t)h(to)f(5)g(p)r(oin)n(ts)1043 661 y(\()p Fb(af)1160 673 y Fa(PS)1246 661 y Fc(\))3285 1997 y(\()p Fb(a\026)p Fc(\))3151 2183 y(0.016)-756 b(0.012)h(0.008)f(0.004)-682 b(0)783 550 y(0.09)783 938 y(0.08)783 1325 y(0.07)783 1713 y(0.06)783 2100 y(0.05)p Black Black eop end userdict /end-hook known{end-hook}if %%EndDocument @endspecial 120 1953 a Fe(Figure)44 b(3:)577 1953 y SDict begin H.S end 577 1953 a Black Black 577 1953 a SDict begin H.R end 577 1953 a 577 1953 a SDict begin [/View [/XYZ H.V]/Dest (figure.3) cvn /DEST pdfmark end 577 1953 a Fw(W)-7 b(e)39 b(sho)n(w)f Fd(af)1033 1965 y Fy(PS)1157 1953 y Fw(as)g(a)g(function)h(of)g Fd(a\026)f 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