%!PS-Adobe-2.0 %%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software %%Title: fmfmanps.dvi %%Pages: 44 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentPaperSizes: a4 %%EndComments %DVIPSCommandLine: dvips -o manual.ps fmfmanps.dvi %DVIPSParameters: dpi=300, compressed, comments removed %DVIPSSource: TeX output 1996.12.02:1022 %%BeginProcSet: texc.pro /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}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{dup dup 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 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(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)45 b(31)378 1793 y(2.6.7)h(Multiple) 13 b(v)o(ertices)i(and)f(arcs)25 b(.)c(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f (.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)45 b(31)282 1843 y(2.7)d(Immediate) 11 b(mo)q(de)32 b(.)20 b(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.) g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)45 b(32)378 1893 y(2.7.1)h(Arcs)26 b(.)20 b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.) g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g (.)h(.)f(.)g(.)45 b(33)378 1943 y(2.7.2)h(V)m(ertices)29 b(.)21 b(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.) g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)45 b(33)378 1993 y(2.7.3)h(Declarations)10 b(.)20 b(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h (.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)45 b(33)378 2042 y(2.7.4)h(Assignmen)o(ts)41 b(.)21 b(.)f(.)g(.)g(.)h(.)f (.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.) g(.)45 b(34)378 2092 y(2.7.5)h(Examples)28 b(.)20 b(.)g(.)h(.)f(.)g(.)g (.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.) h(.)f(.)g(.)45 b(34)282 2142 y(2.8)d(Ra)o(w)13 b Fy(MET)o(AF)n(ONT)31 b Fx(.)20 b(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g (.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)45 b(35)378 2192 y(2.8.1)h(Extending)14 b Fz(feyn)p Fy(MF)k Fx(.)i(.)h(.)f(.)g(.)h (.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)45 b(36)282 2242 y(2.9)d(Commo)o(n)12 b(traps,)j(trouble)g(sho)q(oting)f (and)g(frequen)o(tly)h(ask)o(ed)g(questions)378 2291 y(\(F)-5 b(A)o(Qs\))43 b(.)21 b(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g (.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.) h(.)f(.)g(.)45 b(39)378 2341 y(2.9.1)h Fz(!)d(Value)21 b(is)g(too)g(large)36 b Fx(.)21 b(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g (.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)45 b(39)378 2391 y(2.9.2)h(Diagrams)11 b(in)j(the)g(do)q(cumen)o(t)f(are)i(nev)o(er)g(up)q(dated)23 b(.)e(.)f(.)g(.)h(.)f(.)g(.)45 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b(limits)27 b(.)20 b(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.) f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)45 b(41)926 2831 y(3)p eop %%Page: 4 4 4 3 bop 220 266 a FA(1)67 b(In)n(tro)r(duction)220 365 y Fq(1.1)56 b(Purp)r(ose)18 b(and)h(scop)r(e)220 442 y Fx(In)c(recen)o(t)i(y)o(ears,)f(T)541 450 y(E)564 442 y(X)595 426 y Fr(1)629 442 y Fx([1)o(])f(and)g(L)781 433 y Fr(A)799 442 y Fx(T)822 450 y(E)846 442 y(X)877 426 y Fr(2)911 442 y Fx([2)o(])g(ha)o(v)o(e)g(rev)o(olutionized)g(the)h (w)o(a)o(y)f(w)o(e)g(share)220 491 y(information)8 b(in)j(theoretical)h (ph)o(ysics)g(\(and)g(other)g(areas\).)18 b(Not)11 b(only)g(do)q(es)h (T)1453 500 y(E)1476 491 y(X)f(pro)o(vide)220 541 y(t)o(yp)q (ographical)16 b(capabilities,)g(whic)o(h)g(transcend)j(those)e(of)f (commercial)e(\\w)o(ordpro)q(ces-)220 591 y(sors")h(substan)o(tially)m (,)f(T)603 600 y(E)626 591 y(X)h(do)q(cumen)o(ts)g(are)g(also)g (completely)e(p)q(ortable.)22 b(Since)15 b(imple-)220 641 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Fx(T)609 998 y(E)632 989 y(X)f Fz(picture)f Fx(en)o(vironmen)o(t)g (and)h(similar)e(pac)o(k)n(ages)i([3)o(].)19 b(As)14 b(an)220 1039 y(de)i(facto)f(standard)h(for)f(the)h(inclusion)f(of)g (more)g(complex)f(graphics)h(has)h(emerged)f(the)220 1089 y(inclusion)g(of)g(P)o(ostScript)632 1074 y Fr(3)667 1089 y Fx(\014les.)24 b(The)16 b(complete)f(do)q(cumen)o(t)h(can)g (then)g(b)q(e)g(prin)o(ted)g(on)220 1139 y(an)o(y)d(P)o(ostScript)i (device.)220 1189 y(Still)i(there)i(are)f(areas,)h(where)g(complemen)o (tary)d(approac)o(hes)j(seem)f(w)o(orth)f(pursuing.)220 1239 y(In)e(particular)g(this)g(is)g(the)g(case,)h(if)e(the)i (graphical)e(information)e(is)j(highly)f(formalized,)220 1288 y(lik)o(e)i(the)h(case)h(at)e(hand.)26 b(F)m(eynman)15 b(diagrams)g(are)h(sp)q(eci\014ed)j(b)o(y)d(their)h(top)q(ology)e(and) 220 1338 y(the)20 b(t)o(yp)q(e)g(of)f(particles)h(connecting)h(the)f(v) o(ertices.)36 b(Th)o(us)20 b(a)f(giv)o(en)g(diagram)f(can)h(b)q(e)220 1388 y(repro)q(duced)d(from)c(a)h(v)o(ery)h(concise)h(sp)q (eci\014cation,)f(if)f(the)h(soft)o(w)o(are)g(is)g(able)f(to)h(c)o(ho)q (ose)g(a)220 1438 y(reasonable)g(la)o(y)o(out)f(\(semi-\)automaticall)o (y)m(.)220 1488 y Fy(MET)o(AF)n(ONT)433 1473 y Fr(4)468 1488 y Fx([4])i(and)h Fy(MET)o(AP)r(OST)826 1473 y Fr(5)861 1488 y Fx([5)o(])f(app)q(ear)i(to)e(b)q(e)i(the)f(p)q(erfect)h(to)q(ol) e(for)h(suc)o(h)g(a)220 1537 y(purp)q(ose,)f(since)271 1613 y(1.)20 b Fy(MET)o(AF)n(ONT)15 b Fx(is)d(part)h(of)f(an)o(y)g (\(reasonable\))i(T)1061 1621 y(E)1084 1613 y(X)f(installation,)e(th)o (us)i(a)o(v)n(ailable)d(to)324 1662 y(all)i(p)q(oten)o(tial)i(users,) 271 1741 y(2.)20 b(b)q(oth)13 b(ha)o(v)o(e)g(v)o(ery)g(p)q(o)o(w)o (erful)g(graphics)g(primitivs,)d(whic)o(h)j(allo)o(w)e(high)i(qualit)o (y)e(out-)324 1791 y(put,)i(and)271 1870 y(3.)20 b(b)q(oth)13 b(ha)o(v)o(e)h(builtin)e(linear)h(algebra,)g(whic)o(h)g(allo)o(ws)f(us) i(to)g(c)o(ho)q(ose)g(a)f(la)o(y)o(out)g(auto-)324 1920 y(matically)m(.)220 1995 y(Still,)h(pro)o(viding)g(at)i(least)g(the)g (basic)f(in)o(terface)i(in)e(L)1069 1987 y Fr(A)1087 1995 y Fx(T)1110 2004 y(E)1133 1995 y(X)h(macros)e(seems)i(appropriate) 220 2045 y(for)j(b)q(o)q(osting)g(the)g(acceptance)i(among)c(the)j (less)g(tec)o(hnically)f(orien)o(ted)g(parts)h(of)e(the)220 2095 y(audience.)h(Th)o(us)14 b Fz(feyn)p Fy(MF)659 2080 y Fr(6)691 2095 y Fx([6)o(,)f(7])g(w)o(as)h(conceiv)o(ed.)220 2145 y Fz(feyn)p Fy(MF)d Fx(is)h(unique)g(among)e(pac)o(k)n(ages)i(for) g(dra)o(wing)f(F)m(eynman)f(diagrams)g(in)i Fw(c)n(ombining)220 2195 y Fx(the)i(follo)o(wing)e(features:)282 2270 y Fp(\017)21 b Fx(Simplicit)o(y)10 b(and)j(conciseness)j(for)d(common)d(diagrams.)16 b(E.g.)c(the)i(scattering)g(dia-)324 2320 y(gram)e(in)h(\014gure)i(1)e (can)i(b)q(e)f(sp)q(eci\014ed)h Fw(c)n(ompletely)j Fx(in)13 b(\014v)o(e)h(lines)g(of)f(L)1410 2311 y Fr(A)1428 2320 y Fx(T)1451 2328 y(E)1475 2320 y(X:)p 220 2391 573 2 v 266 2418 a FB(1)284 2430 y Fu(T)303 2437 y(E)323 2430 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y(are)g(larger)g(than)g(the)h(curren)o(t)g(limit)c (enforced)18 b(b)o(y)d(n)o(umeric)h(o)o(v)o(er\015o)o(w)f(at)h(higher) 324 2329 y(resolutions.)34 b(This)19 b(could)g(b)q(e)h(implemen)o(ted)d (b)o(y)i(calculating)f(the)i(la)o(y)o(out)e(of)g(a)324 2379 y(miniature)11 b(graph)i(and)g(afterw)o(ards)h(distributing)e(the) i(full)e(graph)h(among)e(sev)o(eral)324 2429 y Fy(MET)o(AF)n(ONT)16 b Fx(c)o(haracters.)220 2566 y FA(Ac)n(kno)n(wledgemen)n(ts)220 2657 y Fx(I)22 b(am)f(most)g(grateful)h(to)g(W)m(olfgang)e(Kilian,)i (who)g(pushed)i Fz(feyn)p Fy(MF)p Fx('s)d(predecessor)220 2707 y Fz(feynman.mf)c Fx(to)j(its)f(limits)e([12)o(].)34 b(Discussions)20 b(with)f(him)f(triggered)i(a)f(lot)g(of)g(go)q(o)q(d) 915 2831 y(41)p eop %%Page: 42 42 42 41 bop 220 266 a Fx(ideas.)20 b(Thanks)15 b(also)e(to)i(m)o(y)e (studen)o(ts)j(and)e(the)h(p)q(eople)g(on)f Fw(The)i(Net)i Fx(for)c(suggestions,)220 315 y(p)q(ortabilit)o(y)f(\014xes)h(and)g (for)f(v)o(olun)o(teering)h(as)g(guinea)f(pigs.)220 453 y FA(References)241 544 y Fx([1])19 b(Donald)13 b(E.)h(Kn)o(uth,)f Fw(The)i(T)753 553 y(E)776 544 y(Xb)n(o)n(ok)p Fx(,)e(Addison-W)m (esley)m(,)g(Reading)g(MA,)h(1986.)241 627 y([2])19 b(Leslie)13 b(Lamp)q(ort,)f Fw(L)615 618 y Fb(A)634 627 y Fw(T)657 636 y(E)679 627 y(X)i(|)g(A)g(Do)n(cumentation)h(Pr)n(ep)n(ar)n(ation)e (System)p Fx(,)g(Addison-)305 677 y(W)m(esley)m(,)g(Reading)g(MA,)h (1985.)241 760 y([3])19 b(Mic)o(hel)h(Go)q(osens,)h(F)m(rank)f (Mittelbac)o(h,)h(and)f(Alexander)g(Samarin,)f Fw(The)h(L)1557 751 y Fb(A)1576 760 y Fw(T)1599 768 y(E)1621 760 y(X)305 809 y(Comp)n(anion)p Fx(,)15 b(Addison-W)m(esley)m(,)d(Reading)h(MA,)h (1994.)241 892 y([4])19 b(Donald)h(E.)g(Kn)o(uth,)i Fw(The)i Fj(MET)o(AF)n(ONT)p Fw(b)n(o)n(ok)p Fx(,)f(Addison-W)m(esley)m(,)e (Reading)e(MA,)305 942 y(1986.)241 1025 y([5])g(John)c(D.)f(Hobb)o(y)m (,)f Fw(A)i(User's)g(Manual)h(for)k Fj(MET)o(AP)r(OST)p Fx(,)15 b(Computer)e(Science)j(Re-)305 1075 y(p)q(ort)f(#162,)d(A)m (T&T)i(Bell)f(Lab)q(oratories,)h(April)f(1992.)241 1158 y([6])19 b(Thorsten)c(Ohl,)f(Comp.)d(Ph)o(ys.)j(Comm.)c Fs(90)k Fx(\(1995\))f(340.)241 1241 y([7])19 b(Thorsten)14 b(Ohl,)f(CERN)g(Computer)f(Newsletter)j Fs(220)d Fx(\(1995\))g(22;)g Fs(221)h Fx(\(1995\))f(46;)305 1291 y Fs(222)i Fx(\(1996\))f(24.)241 1374 y([8])19 b(Mic)o(heal)14 b(J.)g(S.)f(Levine,)h(Comp.)d(Ph)o(ys.)j (Comm.)d Fs(58)i Fx(\(1990\))g(181.)241 1457 y([9])19 b(Jos)e(V)m(ermaseren,)f(Comp.)f(Ph)o(ys.)h(Comm.)c Fs(83)k Fx(\(1994\))f(45.)h Fz(axodraw)e Fx(is)i(a)o(v)n(ailable)305 1507 y(from)c(CT)m(AN)i(\(cf.)g(p.)f(42\),)g(in)h(the)g Fz(graphics)e Fx(directory)m(.)220 1590 y([10])19 b(Thomas)h(E.)h (Leathrum,)g Fz(mfpic)p Fx(,)h(a)o(v)n(ailable)c(from)i(CT)m(AN)g (\(cf.)h(p.)g(42\),)h(in)e(the)305 1640 y Fz(graphics)13 b Fx(directory)m(.)220 1723 y([11])19 b(Tim)12 b(Stelzer)j(and)f(Bill)f (Long,)g(Comp.)f(Ph)o(ys.)h(Comm.)e Fs(81)i Fx(\(1994\))g(357.)220 1806 y([12])19 b(W)m(olfgang)12 b(Kilian,)g(Do)q(ctoral)h(Thesis,)h(T)m (ec)o(hnical)g(Univ)o(ersit)o(y)g(Darmstadt,)e(1994.)220 1889 y([13])19 b(Alan)14 b(Je\013rey)m(,)g Fw(Lists)h(in)f(T)723 1898 y(E)746 1889 y(X's)g(Mouth)p Fx(,)g(TUGb)q(oat)g(199?.)220 2026 y FA(Distribution)220 2117 y Fz(feyn)p Fy(MF)e Fx(is)i(a)o(v)n (ailable)d(b)o(y)i(anon)o(ymous)e(in)o(ternet)j(ftp)f(from)f(an)o(y)h (of)f(the)i(Comprehensiv)o(e)220 2167 y(T)243 2176 y(E)266 2167 y(X)g(Arc)o(hiv)o(e)g(Net)o(w)o(ork)h(\(CT)m(AN\))e(hosts)324 2250 y Fz(ftp.shsu.edu)p Fx(,)e Fz(ftp.tex.ac.uk)p Fx(,)f Fz(ttp.dante.de)220 2333 y Fx(in)j(the)i(directory)324 2416 y Fz(macros/latex/con)o(trib/)o(suppo)o(rted/)o(feynm)o(f)220 2499 y Fx(It)f(is)g(also)f(a)o(v)n(ailable)f(from)g(the)i(host)324 2582 y Fz(crunch.ikp.physi)o(k.th-)o(darms)o(tadt.)o(de)220 2665 y Fx(in)f(the)i(directory)915 2831 y(42)p eop %%Page: 43 43 43 42 bop 324 266 a Fz(pub/ohl/feynmf)220 349 y Fx(Unsupp)q(orted)15 b(snapshots)g(of)e(m)o(y)g(w)o(ork)g(in)h(progress)h(are)f(pro)o(vided) g(as)324 432 y Fz(pub/ohl/feynmf.v)o(ersio)o(ns/fe)o(ynmf-)o(curre)o (nt.ta)o(r.gz)220 515 y Fx(There)h(are)f(t)o(w)o(o)g(mailing)c(lists) 324 598 y Fz(feynmf-announce@)o(crunc)o(h.ikp)o(.phys)o(ik.th)o(-darm)o (stad)o(t.de)324 648 y(feynmf-bugs@crun)o(ch.ik)o(p.phy)o(sik.t)o (h-dar)o(mstad)o(t.de)220 731 y Fx(op)q(en)i(for)g(subscription.)18 b(The)13 b(former)e(should)g(carry)i(only)e(imp)q(ortan)o(t)f (announcemen)o(ts,)220 780 y(of)h(new)g(v)o(ersions)h(in)e(particular.) 17 b(T)m(o)11 b(subscrib)q(e,)i(send)f(mail)c(to)j(the)h (\(electronic\))g(mailing)220 830 y(list)h(manager)324 913 y Fz(majordomo@crunch)o(.ikp.)o(physi)o(k.th-)o(darms)o(tadt.)o(de) 220 996 y Fx(and)j Fw(not)k Fx(to)d(the)f(lists)g(itself.)25 b(The)17 b(follo)o(wing)c(commands)h(\(on)i(a)g(line)g(in)g(the)g(b)q (o)q(dy)h(of)220 1046 y(the)d(mail,)d(not)j(in)g(the)g(sub)r(ject\))i (are)e(useful:)324 1129 y Fz(subscribe)20 b(feynmf-announce)324 1179 y(unsubscribe)f(feynmf-announce)324 1229 y(help)220 1366 y FA(Index)220 1457 y Fx(Num)o(b)q(ers)f(written)g(in)g(italic)e (refer)j(to)f(the)h(page)e(where)i(the)g(corresp)q(onding)g(en)o(try)f (is)220 1507 y(describ)q(ed,)d(the)f(ones)g(underlined)g(to)g(the)g(co) q(de)g(line)f(of)g(the)h(de\014nition,)f(the)h(rest)h(to)e(the)220 1557 y(co)q(de)i(lines)e(where)j(the)e(en)o(try)h(is)e(used.)364 1656 y FF(Sym)o(b)q(ols)220 1702 y FC(-T,)131 b({notfm@)p FF(-T)p FC(,)345 1748 y FE(--)p FF(notfm)35 b FC(.)12 b(.)g(.)39 b(13)220 1794 y(-c,)12 b({clean@)p FF(-c)p FC(,)i FE(--)p FF(clean)26 b FC(13)220 1840 y(-f,)12 b({force@)p FF(-f)p FC(,)g FE(--)p FF(force)48 b FC(13)220 1886 y(-h,)13 b({help@)p FF(-h)p FC(,)g FE(--)p FF(help)48 b FC(12)220 1932 y(-m)60 b(mo)q(de,)72 b({mo)q(de)345 1978 y(mo)q(de@-)p FF(m)345 2024 y Fa(mo)n(de)s FC(,)17 b FE(--)p FF(mo)q(de)345 2069 y Fa(mo)n(de)34 b FC(.)12 b(.)g(.)g(.)g(.)g(.)39 b(13)220 2116 y(-n,)130 b({no)q(exec@)p FF(-n)p FC(,)345 2161 y FE(--)p FF(no)q(exec)19 b FC(.)12 b(.)g(.)39 b(13)220 2207 y(-q,)161 b({quiet@)p FF(-q)p FC(,)345 2253 y FE(--)p FF(quiet)29 b FC(.)12 b(.)g(.)g(.)39 b(13)220 2299 y(-t,)11 b({tfm)f(tfm@)p FF(-t)p FC(,)h FE(--)p FF(tfm)345 2345 y Fa(tfm)42 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.) 39 b(13)220 2391 y(-v,)128 b({v)o(ersion@)p FF(-v)p FC(,)345 2437 y FE(--)p FF(v)o(ersion)36 b FC(.)12 b(.)39 b(12)428 2525 y FF(A)220 2572 y FC(arcs)32 b(.)12 b(.)g(.)g(.)g(.)g(.)g(.)41 b(14,)12 b(16,)h(33)429 2660 y FF(B)220 2707 y FC(blobs)35 b(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)h(.)f(.)g(.)g(.)25 b(17)920 1656 y FF(C)711 1702 y FC(color)41 b(.)12 b(.)g(.)h(.)f(.)g(.) g(.)g(.)g(.)g(.)g(.)g(.)26 b(19)711 1748 y(crossed)14 b(arcs)38 b(.)12 b(.)g(.)g(.)g(.)g(.)g(.)26 b(36)919 1837 y FF(D)711 1883 y FC(de\014ning)15 b(new)e(st)o(yles)37 b(.)12 b(.)26 b(36)711 1929 y(displa)o(ys,)15 b(online)29 b(.)12 b(.)g(.)g(.)g(.)26 b(31)711 1975 y(dots)i(.)12 b(.)g(.)g(.)h(.)f(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)26 b(17)922 2064 y FF(E)711 2110 y FC(en)o(vironmen)o(ts:)773 2156 y FE(fmffile)35 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)39 b Fa(8)773 2202 y FE(fmffor)32 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(31)773 2249 y FE(fmfgraph*)e FC(.)12 b(.)g(.)g(.)g(.)g(.)39 b Fa(9)773 2295 y FE(fmfgraph)f FC(.)12 b(.)g(.)g(.)g(.)g(.)39 b Fa(9)773 2341 y FE(fmfgroup)f FC(.)12 b(.)g(.)g(.)g(.)g(.)20 b Fa(30)773 2387 y FE(fmfshrink)e FC(.)12 b(.)g(.)g(.)g(.)g(.)20 b Fa(31)773 2433 y FE(fmfsubgraph)k FC(.)12 b(.)g(.)g(.)20 b Fa(29)711 2479 y FC(extensions)44 b(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.) 26 b(36)711 2526 y(external)15 b(v)o(ertices)32 b(.)12 b(.)g(.)g(.)26 b(14)922 2614 y FF(F)711 2660 y FC(\014le)14 b(...@)p Fa(\014le)g FC(...)38 b(.)12 b(.)g(.)g(.)g(.)g(.)26 b(13)711 2707 y(\014le@)p Fa(\014le)39 b FC(.)13 b(.)f(.)g(.)g(.)g(.)g (.)g(.)g(.)g(.)26 b(13)1202 1656 y FE(\\fmf)19 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(14)1202 1702 y FE(\\fmfblob)31 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g (.)g(.)20 b Fa(17)1202 1747 y FE(\\fmfblobn)34 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(17)1202 1793 y FE(\\fmfbottom)37 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(14)1202 1839 y FE(\\fmfbottomn)d FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(14)1202 1884 y FE(\\fmfcmd)28 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g (.)g(.)g(.)20 b Fa(35)1202 1930 y FE(\\fmfcurved)37 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(14)1202 1976 y FE(\\fmfcyclen)37 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(16)1202 2021 y FE(\\fmfdisplay)d FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.) 20 b Fa(31)1202 2067 y FE(\\fmfdot)28 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g (.)g(.)g(.)g(.)20 b Fa(17)1202 2113 y FE(\\fmfdotn)31 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(17)1202 2158 y FE(fmffile)96 b FC(\(en)o(viron-)1327 2204 y(men)o(t\))22 b(.)12 b(.)g(.)g(.)g(.)g(.)g(.)30 b Fa(8)1202 2250 y FE(\\fmffixed)k FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(24)1202 2295 y FE(\\fmffixedx)37 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g (.)20 b Fa(25)1202 2341 y FE(\\fmffixedy)37 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(25)1202 2387 y FE(fmffor)11 b FC(\(en)o(vironmen)o(t\))39 b Fa(31)1202 2432 y FE(\\fmfforce)34 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(24)1202 2478 y FE(\\fmfframe)34 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)39 b Fa(9)1202 2524 y FE(\\fmffreeze)e FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(24)1202 2570 y FE(fmfgraph)76 b FC(\(en)o(viron-)1327 2615 y(men)o(t\))22 b(.)12 b(.)g(.)g(.)g(.)g(.)g(.)30 b Fa(9)1202 2661 y FE(fmfgraph*)56 b FC(\(en)o(viron-)1327 2707 y(men)o(t\))22 b(.)12 b(.)g(.)g(.)g(.)g(.)g(.)30 b Fa(9)915 2831 y Fx(43)p eop %%Page: 44 44 44 43 bop 220 266 a FE(fmfgroup)76 b FC(\(en)o(viron-)345 311 y(men)o(t\))22 b(.)12 b(.)g(.)g(.)g(.)g(.)33 b Fa(30)220 358 y FE(\\fmfi)21 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)h(.)f(.)g(.)g (.)19 b Fa(33)220 405 y FE(\\fmfiequ)30 b FC(.)12 b(.)g(.)g(.)g(.)h(.)f (.)g(.)g(.)19 b Fa(34)220 452 y FE(\\fmfipair)33 b FC(.)12 b(.)g(.)g(.)h(.)f(.)g(.)g(.)19 b Fa(33)220 499 y FE(\\fmfipath)33 b FC(.)12 b(.)g(.)g(.)h(.)f(.)g(.)g(.)19 b Fa(33)220 546 y FE(\\fmfiset)30 b FC(.)12 b(.)g(.)g(.)g(.)h(.)f(.)g(.)g(.)19 b Fa(34)220 592 y FE(\\fmfiv)24 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)h(.)f (.)g(.)g(.)19 b Fa(33)220 639 y FE(\\fmfkeep)30 b FC(.)12 b(.)g(.)g(.)g(.)h(.)f(.)g(.)g(.)19 b Fa(30)220 686 y FE(\\fmflabel)33 b FC(.)12 b(.)g(.)g(.)h(.)f(.)g(.)g(.)19 b Fa(23)220 733 y FE(\\fmfleft)30 b FC(.)12 b(.)g(.)g(.)g(.)h(.)f(.)g (.)g(.)19 b Fa(14)220 780 y FE(\\fmfleftn)33 b FC(.)12 b(.)g(.)g(.)h(.)f(.)g(.)g(.)19 b Fa(14)220 827 y FE(\\fmfn)i FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)h(.)f(.)g(.)g(.)19 b Fa(16)220 874 y FE(\\fmfnotrac)o(e)e FC(.)12 b(.)g(.)h(.)f(.)g(.)g(.) 19 b Fa(31)220 920 y FE(\\fmfpen)27 b FC(.)12 b(.)g(.)g(.)g(.)g(.)h(.)f (.)g(.)g(.)19 b Fa(16)220 967 y FE(\\fmfpoly)30 b FC(.)12 b(.)g(.)g(.)g(.)h(.)f(.)g(.)g(.)19 b Fa(18)220 1014 y FE(\\fmfpolyn)33 b FC(.)12 b(.)g(.)g(.)h(.)f(.)g(.)g(.)19 b Fa(18)220 1061 y FE(\\fmfrcycle)o(n)e FC(.)12 b(.)g(.)h(.)f(.)g(.)g (.)19 b Fa(16)220 1108 y FE(\\fmfreuse)33 b FC(.)12 b(.)g(.)g(.)h(.)f (.)g(.)g(.)19 b Fa(30)220 1155 y FE(\\fmfright)33 b FC(.)12 b(.)g(.)g(.)h(.)f(.)g(.)g(.)19 b Fa(14)220 1201 y FE(\\fmfrightn)36 b FC(.)12 b(.)g(.)h(.)f(.)g(.)g(.)19 b Fa(14)220 1248 y FE(\\fmfrpolyn)36 b FC(.)12 b(.)g(.)h(.)f(.)g(.)g(.)19 b Fa(18)220 1295 y FE(\\fmfset)27 b FC(.)12 b(.)g(.)g(.)g(.)g(.)h(.)f (.)g(.)g(.)19 b Fa(31)711 266 y FE(\\fmfshift)34 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(24)711 311 y FE(fmfshrink)56 b FC(\(en)o(viron-)836 357 y(men)o(t\))22 b(.)12 b(.)g(.)g(.)g(.)g(.)34 b Fa(31)711 403 y FE(\\fmfstopdi)o(spl)o(ay)d FC(.)12 b(.)g(.)20 b Fa(31)711 448 y FE(\\fmfstraig)o(ht)h FC(.)12 b(.)g(.)g(.)g(.)g(.)20 b Fa(14)711 494 y FE(fmfsubgrap)o(h)d FC(\(en)o(viron-)836 540 y(men)o(t\))22 b(.)12 b(.)g(.)g(.)g(.)g(.)34 b Fa(29)711 585 y FE(\\fmfsurrou)o(nd)21 b FC(.)12 b(.)g(.)g(.)g(.)g(.) 20 b Fa(14)711 631 y FE(\\fmfsurrou)o(ndn)k FC(.)12 b(.)g(.)g(.)g(.)20 b Fa(14)711 677 y FE(\\fmftop)27 b FC(.)13 b(.)f(.)g(.)g(.)g(.)g(.)g(.) g(.)g(.)20 b Fa(14)711 722 y FE(\\fmftopn)31 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(14)711 768 y FE(\\fmftrace)34 b FC(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(31)711 814 y FE(\\fmfv)h FC(.)12 b(.)g(.)h(.)f(.)g(.)g(.)g(.)g(.)g (.)g(.)g(.)20 b Fa(16)711 859 y FE(\\fmfvn)k FC(.)12 b(.)h(.)f(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)20 b Fa(17)919 944 y FF(G)711 989 y FC(galleries)35 b(.)13 b(.)f(.)g(.)g(.)g(.)g(.)g (.)g(.)g(.)26 b(14)928 1074 y FF(I)711 1119 y FC(in)o(ternal)15 b(v)o(ertices)39 b(.)33 b(16,)13 b(17)923 1204 y FF(L)711 1249 y FC(lab)q(els)28 b(.)12 b(.)g(.)h(.)24 b(14,)13 b(16,)g(23,)g(24)711 1295 y(lo)q(oping)24 b(.)12 b(.)h(.)f(.)g(.)g(.)g (.)g(.)g(.)g(.)g(.)26 b(31)1411 266 y FF(O)1202 311 y FC(online)16 b(displa)o(ys)39 b(.)12 b(.)g(.)g(.)g(.)26 b(31)1202 357 y(OPTIONS)36 b(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)26 b(12)1412 444 y FF(P)1202 490 y FC(parameters)j(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)26 b(31)1202 535 y(p)q(olygons)d(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)26 b(18)1411 623 y FF(R)1202 668 y FC(running)16 b FD(MET)o(AF)n(ONT)33 b FC(.)26 b(10)1202 714 y(running)16 b FD(MET)o(AP)r(OST)31 b FC(.)26 b(12)1415 801 y FF(S)1202 847 y FC(st)o(yles,)14 b(de\014ning)h(new)25 b(.)12 b(.)26 b(36)1202 892 y(subgraphs)e(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)26 b(29)1412 980 y FF(T)1202 1025 y FC(tadp)q(oles)k(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)26 b(22)1202 1071 y(tracing)j(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g (.)26 b(31)1411 1158 y FF(V)1202 1204 y FC(v)o(ertices)43 b(.)12 b(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)g(.)26 b(33)1202 1249 y(v)o(ertices,)14 b(external)22 b(.)12 b(.)g(.)g(.)26 b(14)1202 1295 y(v)o(ertices,)14 b(in)o(ternal)29 b(.)k(16,)13 b(17)915 2831 y Fx(44)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF