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/F14 9.96 Tf 0 0 Td[()]TJ/F11 9.96 Tf 9.96 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F11 9.96 Tf 23.24 0 Td[(>)]TJ/F8 9.96 Tf 11.07 0 Td[(is)-333(free)-332(in)]TJ/F11 9.96 Tf 40.77 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F11 9.96 Tf 23.24 0 Td[(>)]TJ/F8 9.96 Tf 7.75 0 Td[(.)]TJ/F14 9.96 Tf -131.53 -19.81 Td[()]TJ/F11 9.96 Tf 9.96 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F11 9.96 Tf 23.24 0 Td[(>)]TJ/F8 9.96 Tf 11.27 0 Td[(is)-354(free)-352(in)]TJ/F11 9.96 Tf 41.37 0 Td[()-312(<)]TJ/F8 9.96 Tf 16.67 0 Td[(name)]TJ/F7 6.97 Tf 23.24 -1.5 Td[(1)]TJ/F11 9.96 Tf 7.57 1.5 Td[(>)-312(:)-311(<)]TJ/F8 9.96 Tf 24.48 0 Td[(exp)]TJ/F11 9.96 Tf 15.22 0 Td[(>)]TJ/F8 9.96 Tf 11.27 0 Td[(if)-353(the)-353(iden)29(ti\014er)]TJ/F11 9.96 Tf 68.71 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F11 9.96 Tf 23.24 0 Td[(>)]TJ/F14 9.96 Tf 7.75 0 Td[(6)]TJ/F8 9.96 Tf 0 0 Td[(=)]TJ/F11 9.96 Tf 7.75 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F7 6.97 Tf 23.24 -1.5 Td[(1)]TJ/F11 9.96 Tf 7.58 1.5 Td[(>)]TJ/F8 9.96 Tf -335.85 -11.96 Td[(and)]TJ/F11 9.96 Tf 19.37 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F11 9.96 Tf 23.25 0 Td[(>)]TJ/F8 9.96 Tf 11.07 0 Td[(is)-332(free)-332(in)]TJ/F11 9.96 Tf 40.76 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(exp)]TJ/F11 9.96 Tf 15.22 0 Td[(>)]TJ/F8 9.96 Tf 7.75 0 Td[(.)]TJ/F14 9.96 Tf -142.88 -19.81 Td[()]TJ/F11 9.96 Tf 9.96 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F11 9.96 Tf 23.24 0 Td[(>)]TJ/F8 9.96 Tf 11.07 0 Td[(is)-333(free)-332(in)]TJ/F11 9.96 Tf 40.77 0 Td[(E)]TJ/F7 6.97 Tf 7.35 -1.49 Td[(1)]TJ/F11 9.96 Tf 4.47 1.49 Td[(E)]TJ/F7 6.97 Tf 7.36 -1.49 Td[(2)]TJ/F8 9.96 Tf 7.79 1.49 Td[(if)]TJ/F11 9.96 Tf 9.13 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F11 9.96 Tf 23.24 0 Td[(>)]TJ/F8 9.96 Tf 11.07 0 Td[(is)-333(free)-332(in)]TJ/F11 9.96 Tf 40.77 0 Td[(E)]TJ/F7 6.97 Tf 7.35 -1.49 Td[(1)]TJ/F8 9.96 Tf 7.79 1.49 Td[(or)-333(if)-333(it)-334(is)-332(free)-332(in)]TJ/F11 9.96 Tf 72.06 0 Td[(E)]TJ/F7 6.97 Tf 7.36 -1.49 Td[(2)]TJ/F8 9.96 Tf 4.47 1.49 Td[(.)]TJ -325.7 -19.7 Td[(A)-334(v)56(ariable)]TJ/F11 9.96 Tf 48.18 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F11 9.96 Tf 23.25 0 Td[(>)]TJ/F8 9.96 Tf 11.07 0 Td[(is)-333(b)-27(ound)-333(if)-333(one)-332(of)-334(t)28(w)28(o)-334(cases)-332(holds:)]TJ/F14 9.96 Tf -75.3 -19.7 Td[()]TJ/F11 9.96 Tf 9.96 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F11 9.96 Tf 23.24 0 Td[(>)]TJ/F8 9.96 Tf 10.04 0 Td[(is)-228(b)-28(ound)-228(in)]TJ/F11 9.96 Tf 49.24 0 Td[()-278(<)]TJ/F8 9.96 Tf 16.33 0 Td[(name)]TJ/F7 6.97 Tf 23.24 -1.49 Td[(1)]TJ/F11 9.96 Tf 7.24 1.49 Td[(>)-278(:)-278(<)]TJ/F8 9.96 Tf 23.8 0 Td[(exp)]TJ/F11 9.96 Tf 15.22 0 Td[(>)]TJ/F8 9.96 Tf 10.03 0 Td[(if)-229(the)-228(iden)29(ti\014er)]TJ/F11 9.96 Tf 64.99 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F11 9.96 Tf 23.25 0 Td[(>)]TJ/F8 9.96 Tf 7.75 0 Td[(=)]TJ/F11 9.96 Tf 7.74 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F7 6.97 Tf 23.25 -1.49 Td[(1)]TJ/F11 9.96 Tf 7.24 1.49 Td[(>)]TJ/F8 9.96 Tf -335.85 -11.95 Td[(or)-333(if)]TJ/F11 9.96 Tf 21.34 0 Td[(<)]TJ/F8 9.96 Tf 7.74 0 Td[(name)]TJ/F11 9.96 Tf 23.25 0 Td[(>)]TJ/F8 9.96 Tf 11.07 0 Td[(is)-333(b)-27(ound)-333(in)]TJ/F11 9.96 Tf 52.36 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(exp)]TJ/F11 9.96 Tf 15.22 0 Td[(>)]TJ/F8 9.96 Tf 7.75 0 Td[(.)]TJ/F14 9.96 Tf -156.44 -19.81 Td[()]TJ/F11 9.96 Tf 9.96 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F11 9.96 Tf 23.24 0 Td[(>)]TJ/F8 9.96 Tf 11.07 0 Td[(is)-333(b)-28(ound)-332(in)]TJ/F11 9.96 Tf 52.36 0 Td[(E)]TJ/F7 6.97 Tf 7.36 -1.5 Td[(1)]TJ/F11 9.96 Tf 4.47 1.5 Td[(E)]TJ/F7 6.97 Tf 7.35 -1.5 Td[(2)]TJ/F8 9.96 Tf 7.79 1.5 Td[(if)]TJ/F11 9.96 Tf 9.13 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(name)]TJ/F11 9.96 Tf 23.25 0 Td[(>)]TJ/F8 9.96 Tf 11.07 0 Td[(is)-333(b)-27(ound)-333(in)]TJ/F11 9.96 Tf 52.36 0 Td[(E)]TJ/F7 6.97 Tf 7.35 -1.5 Td[(1)]TJ/F8 9.96 Tf 7.79 1.5 Td[(or)-333(if)-333(it)-334(is)-332(b)-28(ound)-333(in)]TJ/F11 9.96 Tf 83.66 0 Td[(E)]TJ/F7 6.97 Tf 7.35 -1.5 Td[(2)]TJ/F8 9.96 Tf 4.47 1.5 Td[(.)]TJ -360.48 -19.7 Td[(It)-434(should)-433(b)-28(e)-433(emphasized)-431(that)-434(the)-433(same)-433(iden)29(ti\014er)-433(can)-433(o)-28(ccur)-433(free)-432(and)-434(b)-27(ound)-434(in)-433(the)]TJ 0 -11.96 Td[(same)-332(expression.)-442(In)-334(the)-332(expression)]TJ 154.37 -21.63 Td[(\050)]TJ/F11 9.96 Tf 3.87 0 Td[(x:xy)]TJ/F8 9.96 Tf 25.21 0 Td[(\051\050)]TJ/F11 9.96 Tf 7.75 0 Td[(y)-37(:y)]TJ/F8 9.96 Tf 19.06 0 Td[(\051)]TJ -210.26 -21.64 Td[(the)-394(\014rst)]TJ/F11 9.96 Tf 38.95 0 Td[(y)]TJ/F8 9.96 Tf 9.17 0 Td[(is)-395(free)-393(in)-395(the)-394(paren)29(thesized)-392(sub)-27(expression)-392(to)-395(the)-394(left.)-628(It)-395(is)-395(b)-27(ound)-394(in)-395(the)]TJ -48.12 -11.95 Td[(sub)-27(expression)-433(to)-435(the)-435(righ)28(t.)-751(It)-435(o)-28(ccurs)-434(therefore)-433(free)-434(as)-435(w)27(ell)-435(as)-435(b)-27(ound)-435(in)-435(the)-435(whole)]TJ 0 -11.96 Td[(expression.)]TJ/F54 11.96 Tf 0 -27.84 Td[(1.2)-1126(Substitutions)]TJ/F8 9.96 Tf 0 -18.39 Td[(The)-303(more)-302(confusing)-301(part)-302(of)-303(standard)]TJ/F11 9.96 Tf 162.21 0 Td[()]TJ/F8 9.96 Tf 8.82 0 Td[(calculus,)-307(when)-303(\014rst)-302(approac)29(hing)-302(it,)-309(is)-302(the)-302(fact)]TJ -171.03 -11.95 Td[(that)-370(w)27(e)-370(do)-370(not)-370(giv)28(e)-370(names)-369(to)-370(functions.)-553(An)28(y)-370(time)-369(w)27(e)-370(w)28(an)28(t)-370(to)-371(apply)-369(a)-371(function,)-377(w)27(e)]TJ 0 -11.96 Td[(write)-361(the)-361(whole)-361(function)-360(de\014nition)-360(and)-361(then)-361(pro)-27(cede)-360(to)-362(ev)57(aluate)-361(it.)-529(T)83(o)-362(simplify)-359(the)]TJ 0 -11.95 Td[(notation,)-362(ho)28(w)27(ev)28(er,)-361(w)27(e)-356(will)-357(use)-355(capital)-356(letters,)-361(digits)-356(and)-356(other)-356(sym)29(b)-28(ols)-356(as)-356(synon)29(yms)]TJ 0 -11.96 Td[(for)-262(some)-261(function)-261(de\014nitions.)-418(The)-262(iden)29(tit)28(y)-262(function,)-275(for)-261(example,)-275(can)-262(b)-27(e)-262(denoted)-261(with)]TJ/F38 9.96 Tf 0 -11.95 Td[(I)]TJ/F8 9.96 Tf 6.09 0 Td[(whic)28(h)-333(is)-333(a)-333(synon)28(ym)-332(for)-333(\050)]TJ/F11 9.96 Tf 107.79 0 Td[(x:x)]TJ/F8 9.96 Tf 19.97 0 Td[(\051.)]TJ -118.9 -11.96 Td[(The)-333(iden)29(tit)28(y)-333(function)-332(applied)-332(to)-333(itself)-332(is)-333(the)-333(application)]TJ/F38 9.96 Tf 132.04 -21.63 Td[(I)-28(I)]TJ/F14 9.96 Tf 8.58 0 Td[()]TJ/F8 9.96 Tf 10.52 0 Td[(\050)]TJ/F11 9.96 Tf 3.87 0 Td[(x:x)]TJ/F8 9.96 Tf 19.97 0 Td[(\051\050)]TJ/F11 9.96 Tf 7.75 0 Td[(x:x)]TJ/F8 9.96 Tf 19.96 0 Td[(\051)]TJ -217.64 -21.64 Td[(In)-472(this)-470(expression)-469(the)-471(\014rst)]TJ/F11 9.96 Tf 124.49 0 Td[(x)]TJ/F8 9.96 Tf 10.39 0 Td[(in)-471(the)-471(b)-27(o)-28(dy)-471(of)-471(the)-471(\014rst)-470(expression)-469(in)-471(paren)29(thesis)-470(is)]TJ -134.88 -11.95 Td[(indep)-27(enden)30(t)-292(of)-292(the)]TJ/F11 9.96 Tf 83.72 0 Td[(x)]TJ/F8 9.96 Tf 8.6 0 Td[(in)-292(the)-291(b)-28(o)-28(dy)-291(of)-292(the)-291(second)-290(expression.)-428(W)83(e)-291(can)-292(in)-291(fact)-291(rewrite)-291(the)]TJ -92.32 -11.96 Td[(ab)-28(o)28(v)28(e)-333(expression)-331(as)]TJ/F38 9.96 Tf 147.61 -11.95 Td[(I)-28(I)]TJ/F14 9.96 Tf 8.58 0 Td[()]TJ/F8 9.96 Tf 10.52 0 Td[(\050)]TJ/F11 9.96 Tf 3.87 0 Td[(x:x)]TJ/F8 9.96 Tf 19.97 0 Td[(\051\050)]TJ/F11 9.96 Tf 7.75 0 Td[(z)-44(:z)]TJ/F8 9.96 Tf 18.72 0 Td[(\051)]TJ -217.02 -17.77 Td[(The)-333(iden)29(tit)28(y)-334(function)-331(applied)-332(to)-334(itself)]TJ/F38 9.96 Tf 147.61 -21.63 Td[(I)-28(I)]TJ/F14 9.96 Tf 8.58 0 Td[()]TJ/F8 9.96 Tf 10.52 0 Td[(\050)]TJ/F11 9.96 Tf 3.87 0 Td[(x:x)]TJ/F8 9.96 Tf 19.97 0 Td[(\051\050)]TJ/F11 9.96 Tf 7.75 0 Td[(z)-44(:z)]TJ/F8 9.96 Tf 18.72 0 Td[(\051)]TJ -217.02 -21.64 Td[(yields)-332(therefore)]TJ 139.91 -11.95 Td[([)]TJ/F11 9.96 Tf 2.77 0 Td[(z)-45(:z)-44(=x)]TJ/F8 9.96 Tf 29.4 0 Td[(])]TJ/F11 9.96 Tf 2.76 0 Td[(x)]TJ/F8 9.96 Tf 8.47 0 Td[(=)]TJ/F11 9.96 Tf 10.51 0 Td[(z)-45(:z)]TJ/F14 9.96 Tf 21.49 0 Td[()]TJ/F38 9.96 Tf 10.52 0 Td[(I)]TJ/F8 9.96 Tf -225.83 -17.77 Td[(that)-333(is,)-333(the)-333(iden)29(tit)28(y)-333(function)-332(again.)]TJ 14.95 -11.95 Td[(W)84(e)-371(should)-370(b)-28(e)-371(careful)-369(when)-371(p)-27(erforming)-370(substitutions)-369(to)-371(a)28(v)27(oid)-371(mixing)-370(up)-371(free)-370(o)-28(c-)]TJ -14.95 -11.96 Td[(currences)-330(of)-334(an)-333(iden)29(ti\014er)-332(with)-334(b)-27(ound)-333(ones.)-443(In)-333(the)-333(expression)]TJ 154.37 -21.63 Td[(\050)]TJ/F11 9.96 Tf 3.87 0 Td[(x:)]TJ/F8 9.96 Tf 14.28 0 Td[(\050)]TJ/F11 9.96 Tf 3.87 0 Td[(y)-37(:xy)]TJ/F8 9.96 Tf 24.76 0 Td[(\051\051)]TJ/F11 9.96 Tf 7.75 0 Td[(y)]TJ/F8 9.96 Tf -27.14 -11.34 Td[(3)]TJ
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1 0 0 1 128.69 721.07 cm
BT
/F8 9.96 Tf 0 0 Td[(the)-402(function)-401(to)-402(the)-402(left)-401(con)28(tains)-402(a)-402(b)-28(ound)]TJ/F11 9.96 Tf 186.54 0 Td[(y)]TJ/F8 9.96 Tf 5.25 0 Td[(,)-419(whereas)-401(the)]TJ/F11 9.96 Tf 63.19 0 Td[(y)]TJ/F8 9.96 Tf 9.25 0 Td[(at)-403(the)-402(righ)29(t)-403(is)-402(free.)-649(An)]TJ -264.23 -11.95 Td[(incorrect)-332(substitution)-331(w)28(ould)-333(mix)-333(the)-333(t)28(w)28(o)-334(iden)29(ti\014ers)-332(in)-333(the)-332(erroneous)-332(result)]TJ 168.23 -21.11 Td[(\050)]TJ/F11 9.96 Tf 3.87 0 Td[(y)-37(:y)-36(y)]TJ/F8 9.96 Tf 24.31 0 Td[(\051)]TJ -196.41 -21.11 Td[(Simply)-332(b)28(y)-333(renaming)-332(the)-333(b)-27(ound)]TJ/F11 9.96 Tf 138.95 0 Td[(y)]TJ/F8 9.96 Tf 8.57 0 Td[(to)]TJ/F11 9.96 Tf 12.17 0 Td[(t)]TJ/F8 9.96 Tf 6.92 0 Td[(w)27(e)-333(obtain)]TJ -31.62 -21.11 Td[(\050)]TJ/F11 9.96 Tf 3.87 0 Td[(x:)]TJ/F8 9.96 Tf 14.28 0 Td[(\050)]TJ/F11 9.96 Tf 3.87 0 Td[(t:xt)]TJ/F8 9.96 Tf 21.47 0 Td[(\051\051)]TJ/F11 9.96 Tf 7.75 0 Td[(y)]TJ/F8 9.96 Tf 8.01 0 Td[(=)-278(\050)]TJ/F11 9.96 Tf 14.39 0 Td[(t:y)-37(t)]TJ/F8 9.96 Tf 21.01 0 Td[(\051)]TJ -229.64 -21.11 Td[(whic)28(h)-333(is)-333(a)-333(completely)-332(dieren)30(t)-334(result)-332(but)-333(nev)29(ertheless)-330(the)-333(correct)-332(one.)]TJ 14.95 -11.95 Td[(Therefore,)-315(if)-312(the)-313(function)]TJ/F11 9.96 Tf 112.47 0 Td[(x:)-278(<)]TJ/F8 9.96 Tf 24.79 0 Td[(exp)]TJ/F11 9.96 Tf 15.22 0 Td[(>)]TJ/F8 9.96 Tf 10.87 0 Td[(is)-312(applied)-312(to)]TJ/F11 9.96 Tf 56.46 0 Td[(E)]TJ/F8 9.96 Tf 7.92 0 Td[(,)-317(w)27(e)-313(substitute)-310(all)]TJ/F34 9.96 Tf 80.43 0 Td[(fr)51(e)51(e)]TJ/F8 9.96 Tf 18.52 0 Td[(o)-28(ccur-)]TJ -341.63 -11.96 Td[(rences)-338(of)]TJ/F11 9.96 Tf 41.46 0 Td[(x)]TJ/F8 9.96 Tf 9.08 0 Td[(in)]TJ/F11 9.96 Tf 11.69 0 Td[(<)]TJ/F8 9.96 Tf 7.75 0 Td[(exp)]TJ/F11 9.96 Tf 15.22 0 Td[(>)]TJ/F8 9.96 Tf 11.14 0 Td[(with)]TJ/F11 9.96 Tf 22.76 0 Td[(E)]TJ/F8 9.96 Tf 7.93 0 Td[(.)-465(If)-340(the)-340(substitution)-338(w)28(ould)-340(bring)-340(a)-340(free)-339(v)56(ariable)-339(of)]TJ/F11 9.96 Tf 221.85 0 Td[(E)]TJ/F8 9.96 Tf 11.32 0 Td[(in)]TJ -360.2 -11.95 Td[(an)-294(expression)-291(where)-292(this)-293(v)56(ariable)-293(o)-28(ccurs)-291(b)-28(ound,)-301(w)28(e)-293(rename)-292(the)-293(b)-28(ound)-292(v)55(ariable)-292(b)-28(efore)]TJ 0 -11.96 Td[(p)-28(erforming)-331(the)-333(substitution.)-442(F)83(or)-333(example,)-332(in)-333(the)-332(expression)]TJ 136.64 -21.11 Td[(\050)]TJ/F11 9.96 Tf 3.87 0 Td[(x:)]TJ/F8 9.96 Tf 14.27 0 Td[(\050)]TJ/F11 9.96 Tf 3.88 0 Td[(y)-37(:)]TJ/F8 9.96 Tf 13.82 0 Td[(\050)]TJ/F11 9.96 Tf 3.87 0 Td[(x)]TJ/F8 9.96 Tf 5.7 0 Td[(\050)]TJ/F11 9.96 Tf 3.87 0 Td[(x:xy)]TJ/F8 9.96 Tf 25.21 0 Td[(\051\051\051\051)]TJ/F11 9.96 Tf 15.5 0 Td[(y)]TJ/F8 9.96 Tf -226.63 -21.11 Td[(w)27(e)-333(asso)-27(ciate)-333(the)-332(argumen)29(t)]TJ/F11 9.96 Tf 118.31 0 Td[(x)]TJ/F8 9.96 Tf 9.01 0 Td[(with)]TJ/F11 9.96 Tf 22.7 0 Td[(y)]TJ/F8 9.96 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9.96 Tf 23.56 0 Td[(\051\051\051)-278(=)-278(\050)]TJ/F11 9.96 Tf 28.78 0 Td[(t:)]TJ/F8 9.96 Tf 12.18 0 Td[(\050)]TJ/F11 9.96 Tf 3.87 0 Td[(y)]TJ/F8 9.96 Tf 5.24 0 Td[(\050)]TJ/F11 9.96 Tf 3.88 0 Td[(x:xt)]TJ/F8 9.96 Tf 23.56 0 Td[(\051\051\051)]TJ -239.5 -21.11 Td[(In)-383(normal)-382(order)-382(reduction)-381(w)27(e)-383(try)-383(to)-383(reduce)-381(alw)27(a)28(ys)-383(the)-382(left)-382(most)-383(expression)-380(of)-383(a)]TJ -14.95 -11.95 Td[(series)-331(of)-334(applications.)-442(W)83(e)-333(con)28(tin)29(ue)-333(un)28(til)-333(no)-333(further)-332(reductions)-330(are)-333(p)-28(ossible.)]TJ/F61 14.35 Tf 0 -32.81 Td[(2)-1125(Arithmetic)]TJ/F8 9.96 Tf 0 -21.82 Td[(W)83(e)-406(exp)-27(ect)-405(from)-405(a)-406(programming)-405(language)-405(that)-406(it)-406(should)-404(b)-28(e)-406(capable)-404(of)-406(doing)-406(arith-)]TJ 0 -11.95 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%%CreationDate: 1991 Aug 15 07:21:34
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
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%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
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/FullName (CMMI7) readonly def
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%!PS-AdobeFont-1.1: CMR7 1.0
%%CreationDate: 1991 Aug 20 16:39:21
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
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%!PS-AdobeFont-1.1: CMSS10 1.0
%%CreationDate: 1991 Aug 20 17:33:34
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
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/FullName (CMSS10) readonly def
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%!PS-AdobeFont-1.1: CMTI10 1.00B
%%CreationDate: 1992 Feb 19 19:56:16
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
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%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% 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 /OARYRS+CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
dup 8 /Phi put
dup 11 /ff put
dup 12 /fi put
dup 33 /exclam put
dup 34 /quotedblright put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
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 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 61 /equal put
dup 63 /question put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 87 /W put
dup 89 /Y put
dup 91 /bracketleft put
dup 92 /quotedblleft put
dup 93 /bracketright put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /endash put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
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%!PS-AdobeFont-1.1: CMBX12 1.0
%%CreationDate: 1991 Aug 20 16:34:54
% 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 (CMBX12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /PCGITJ+CMBX12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
dup 12 /fi put
dup 46 /period put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 65 /A put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 76 /L put
dup 77 /M put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 97 /a put
dup 98 /b put
dup 99 /c put
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dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
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readonly def
/FontBBox{-53 -251 1139 750}readonly def
/UniqueID 5000769 def
currentdict end
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%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
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/FullName (CMR12) readonly def
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
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