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Fl(en)n(ter)e(using)g (algebraic)g(notation)522 b Fj(')36 b(2+3*4)1746 576 y Fl(refer)23 b(to)h(previous)g(result)737 b Fj(')36 b(3*$^2)1746 656 y Fl(refer)23 b(to)h(higher)g(stac)n(k)g(en)n(tries) 593 b Fj(')36 b($1*$2^2)1746 735 y Fl(\014nish)24 b(alg)f(en)n(try)i (without)f(ev)l(aluating)377 b Fj(LFD)1746 815 y Fl(set)24 b(mo)r(de)f(where)h(alg)g(en)n(try)g(used)g(b)n(y)g(default)166 b Fj(m)26 b(a)1746 1018 y Fk(Stac)m(k)37 b(Commands)1746 1141 y Fl(Here)24 b Fe(S)1956 1149 y Fc(n)2020 1141 y Fl(is)f(the)h Fe(n)p Fl(th)g(stac)n(k)h(en)n(try)-6 b(,)24 b(and)g Fe(N)31 b Fl(is)23 b(the)h(size)g(of)f(the)i(stac)n(k.)1817 1235 y Ff(key)216 b(no)26 b(pr)l(e\014x)259 b(pr)l(e\014x)27 b Fe(n)292 b Ff(pr)l(e\014x)26 b Fd(\000)p Fe(n)1817 1315 y Fj(RET)212 b Fl(cop)n(y)25 b Fe(S)2342 1323 y Fb(1)2663 1315 y Fl(cop)n(y)g Fe(S)2871 1323 y Fb(1)p Fc(::n)3193 1315 y Fl(cop)n(y)f Fe(S)3400 1323 y Fc(n)1817 1394 y Fj(LFD)212 b Fl(cop)n(y)25 b Fe(S)2342 1402 y Fb(2)2663 1394 y Fl(cop)n(y)g Fe(S)2871 1402 y Fc(n)3193 1394 y Fl(cop)n(y)f Fe(S)3400 1402 y Fb(1)p Fc(::n)1817 1474 y Fj(DEL)212 b Fl(delete)25 b Fe(S)2381 1482 y Fb(1)2663 1474 y Fl(delete)g Fe(S)2910 1482 y Fb(1)p Fc(::n)3193 1474 y Fl(delete)g Fe(S)3440 1482 y Fc(n)1817 1554 y Fj(M-DEL)142 b Fl(delete)25 b Fe(S)2381 1562 y Fb(2)2663 1554 y Fl(delete)g Fe(S)2910 1562 y Fc(n)3193 1554 y Fl(delete)g Fe(S)3440 1562 y Fb(1)p Fc(::n)1817 1633 y Fj(TAB)212 b Fl(sw)n(ap)24 b Fe(S)2352 1641 y Fb(1)2384 1633 y Fd($)p Fe(S)2498 1641 y Fb(2)2663 1633 y Fl(roll)f Fe(S)2832 1641 y Fb(1)2888 1633 y Fl(to)h Fe(S)3017 1641 y Fc(n)3193 1633 y Fl(roll)e Fe(S)3361 1641 y Fc(n)3425 1633 y Fl(to)j Fe(S)3555 1641 y Fc(N)1817 1713 y Fj(M-TAB)142 b Fl(roll)23 b Fe(S)2303 1721 y Fb(3)2358 1713 y Fl(to)i Fe(S)2488 1721 y Fb(1)2663 1713 y Fl(roll)e Fe(S)2832 1721 y Fc(n)2896 1713 y Fl(to)h Fe(S)3025 1721 y Fb(1)3193 1713 y Fl(roll)e Fe(S)3361 1721 y Fc(N)3438 1713 y Fl(to)i Fe(S)3567 1721 y Fc(n)1746 1821 y Fl(With)g(a)g(0)g(pre\014x,)g(these)g (cop)n(y)-6 b(,)25 b(delete,)f(or)f(rev)n(erse)h Fe(S)3211 1829 y Fb(1)p Fc(::N)3331 1821 y Fl(.)1746 2024 y Fk(Displa)m(y)1746 2190 y Fl(scroll)f(horizon)n(tally)-6 b(,)24 b(v)n(ertically)569 b Fj(<)36 b(>)p Fl(,)i Fj({)e(})1746 2270 y Fl(home)23 b(cursor)1063 b Fj(o)1746 2349 y Fl(line)23 b(n)n(um)n(b)r(ers)g (on/o\013)837 b Fj(d)26 b(l)1746 2429 y Fl(trail)d(displa)n(y)h (on/o\013)862 b Fj(t)26 b(d)1746 2537 y Fl(scien)n(ti\014c)f(notation) 894 b Fj(d)26 b(s)1746 2617 y Fl(\014xed-p)r(oin)n(t)f(notation)828 b Fj(d)26 b(f)1746 2697 y Fl(\015oating-p)r(oin)n(t)f(\(normal\))e (notation)450 b Fj(d)26 b(n)1746 2776 y Fl(group)e(digits)g(with)f (commas)638 b Fj(d)26 b(g)1746 2885 y Fl(F)-6 b(or)28 b(displa)n(y)g(mo)r(de)f(commands,)g Fj(H)h Fl(pre\014x)h(prev)n(en)n (ts)g(screen)f(redra)n(w)1746 2964 y(and)c Fj(I)g Fl(pre\014x)g(temp)r (orarily)e(redra)n(ws)i(top)g(of)f(stac)n(k.)1746 3168 y Fk(Notations)1746 3333 y Fl(scien)n(ti\014c)i(notation)894 b Fj(6.02e23)1746 3413 y Fl(min)n(us)22 b(sign)i(in)f(n)n(umeric)g(en)n (try)577 b Fj(_23)71 b Fl(or)g Fj(23)36 b(n)1746 3492 y Fl(fractions)1175 b Fj(3:4)1746 3572 y Fl(complex)23 b(n)n(um)n(b)r(ers)902 b Fj(\()p Ff(x)p Fj(,)36 b Ff(y)p Fj(\))1746 3652 y Fl(p)r(olar)23 b(complex)h(n)n(um)n(b)r(ers)719 b Fj(\()p Ff(r)p Fj(;)36 b Fe(\022)r Fj(\))1746 3732 y Fl(v)n(ectors)25 b(\(commas)d(optional\))625 b Fj([1,)36 b(2,)g(3])1746 3811 y Fl(matrices)23 b(\(or)g(nested)i(v)n(ectors\))582 b Fj([1,)36 b(2;)g(3,)g(4])1746 3891 y Fl(error)23 b(forms)e(\()p Fj(p)j Fl(k)n(ey\))857 b Fj(100)36 b(+/-)g(0.5)1746 3971 y Fl(in)n(terv)l(al)24 b(forms)1012 b Fj([2)36 b(..)g(5\))1746 4050 y Fl(mo)r(dulo)23 b(forms)e(\()p Fj(M)k Fl(k)n(ey\))776 b Fj(6)36 b(mod)g(24)1746 4130 y Fl(HMS)23 b(forms)1087 b Fj(5@)36 b(30')g(0")1746 4210 y Fl(date)25 b(forms)1110 b Fj()1746 4290 y Fl(in\014nit)n(y)-6 b(,)24 b(indeterminate)756 b Fj(inf)p Fl(,)39 b Fj(nan)3942 -364 y Fk(Scien)m(ti\014c)d(F)-10 b(unctions)3942 -198 y Fl(ln,)23 b(log)4134 -190 y Fb(10)4195 -198 y Fl(,)g(log)4328 -181 y Fa(b)5382 -198 y Fj(L)p Fl(,)39 b Fj(H)26 b(L)p Fl(,)39 b Fj(B)3942 -119 y Fl(exp)r(onen)n(tial)25 b Ff(e)4353 -142 y Fa(x)4395 -119 y Fl(,)e(10)4508 -142 y Fa(x)5382 -119 y Fj(E)p Fl(,)39 b Fj(H)26 b(E)3942 -39 y Fl(sin,)d(cos,)g(tan)1072 b Fj(S)p Fl(,)39 b Fj(C)p Fl(,)f Fj(T)3942 41 y Fl(arcsin,)23 b(arccos,)h(arctan)789 b Fj(I)26 b(S)p Fl(,)39 b Fj(I)26 b(C)p Fl(,)39 b Fj(I)27 b(T)3942 120 y Fl(in)n(v)n(erse,)c(h)n(yp)r(erb)r(olic)h(pre\014x)g(k)n (eys)513 b Fj(I)p Fl(,)39 b Fj(H)3942 200 y Fl(t)n(w)n(o-argumen)n(t)24 b(arctan)796 b Fj(f)26 b(T)3942 280 y Fl(degrees,)e(radians)f(mo)r(des) 731 b Fj(m)26 b(d)p Fl(,)39 b Fj(m)26 b(r)3942 359 y Fl(pi)d(\()p Fe(\031)r Fl(\))1261 b Fj(P)3942 468 y Fl(factorial,)23 b(double)h(factorial)664 b Fj(!)p Fl(,)39 b Fj(k)26 b(d)3942 547 y Fl(com)n(binations,)d(p)r(erm)n(utations)583 b Fj(k)26 b(c)p Fl(,)39 b Fj(H)26 b(k)h(c)3942 627 y Fl(prime)22 b(factorization)855 b Fj(k)26 b(f)3942 707 y Fl(next)f(prime,)c (previous)j(prime)603 b Fj(k)26 b(n)p Fl(,)39 b Fj(I)26 b(k)h(n)3942 787 y Fl(GCD,)c(LCM)1077 b Fj(k)26 b(g)p Fl(,)39 b Fj(k)26 b(l)3942 866 y Fl(random)d(n)n(um)n(b)r(er,)f(sh)n (u\017e)711 b Fj(k)26 b(r)p Fl(,)39 b Fj(k)26 b(h)3942 946 y Fl(minim)n(um,)19 b(maxim)n(um)796 b Fj(f)26 b(n)p Fl(,)39 b Fj(f)26 b(x)3942 1054 y Fl(error)d(functions)h(erf,)e(erfc) 728 b Fj(f)26 b(e)p Fl(,)39 b Fj(I)26 b(f)h(e)3942 1134 y Fl(gamma,)22 b(b)r(eta)i(functions)735 b Fj(f)26 b(g)p Fl(,)39 b Fj(f)26 b(b)3942 1214 y Fl(incomplete)e(gamma,)d(b)r(eta)k (functions)378 b Fj(f)26 b(G)p Fl(,)39 b Fj(f)26 b(B)3942 1293 y Fl(Bessel)d Fe(J)4192 1301 y Fa(\027)4233 1293 y Fl(,)g Fe(Y)4317 1301 y Fa(\027)4382 1293 y Fl(functions)720 b Fj(f)26 b(j)p Fl(,)39 b Fj(f)26 b(y)3942 1402 y Fl(complex)d (magnitude,)h(arg,)f(conjugate)360 b Fj(A)p Fl(,)39 b Fj(G)p Fl(,)f Fj(J)3942 1481 y Fl(real,)23 b(imaginary)f(parts)795 b Fj(f)26 b(r)p Fl(,)39 b Fj(f)26 b(i)3942 1561 y Fl(con)n(v)n(ert)f(p) r(olar/rectangular)649 b Fj(c)26 b(p)3942 1768 y Fk(Financial)36 b(F)-10 b(unctions)3942 1933 y Fl(en)n(ter)24 b(p)r(ercen)n(tage)935 b Fj(M-\045)3942 2013 y Fl(con)n(v)n(ert)25 b(to)f(p)r(ercen)n(tage)778 b Fj(c)26 b(\045)3942 2093 y Fl(p)r(ercen)n(tage)g(c)n(hange)879 b Fj(b)26 b(\045)3942 2201 y Fl(presen)n(t)e(v)l(alue)1037 b Fj(b)26 b(P)3942 2281 y Fl(future)e(v)l(alue)1072 b Fj(b)26 b(F)3942 2360 y Fl(rate)e(of)f(return)1023 b Fj(b)26 b(T)3942 2440 y Fl(n)n(um)n(b)r(er)d(of)g(pa)n(ymen)n(ts)811 b Fj(b)26 b(#)3942 2520 y Fl(size)e(of)f(pa)n(ymen)n(ts)934 b Fj(b)26 b(M)3942 2600 y Fl(net)f(presen)n(t)f(v)l(alue,)g(in)n(t.)f (rate)h(of)g(return)326 b Fj(b)26 b(N)p Fl(,)39 b Fj(b)26 b(I)3942 2708 y Fl(Ab)r(o)n(v)n(e)d(computations)f(assume)g(pa)n(ymen)n (ts)g(at)g(end)h(of)e(p)r(erio)r(d.)31 b(Use)22 b Fj(I)3942 2788 y Fl(pre\014x)g(for)f(b)r(eginning)h(of)f(p)r(erio)r(d,)g(or)h Fj(H)f Fl(for)g(a)g(lump)g(sum)f(in)n(v)n(estmen)n(t.)3942 2896 y(straigh)n(t-line)j(depreciation)671 b Fj(b)26 b(S)3942 2976 y Fl(sum-of-y)n(ears'-digits)838 b Fj(b)26 b(Y)3942 3055 y Fl(double)e(declining)g(balance)685 b Fj(b)26 b(D)3942 3258 y Fk(Units)3942 3424 y Fl(en)n(ter)e(with)g (units)948 b Fj(')36 b(55)f(mi/hr)3942 3504 y Fl(con)n(v)n(ert)25 b(to)f(new)g(units,)g(base)g(units)453 b Fj(u)26 b(c)p Fl(,)39 b Fj(u)26 b(b)3942 3583 y Fl(con)n(v)n(ert)f(temp)r(erature)f (units)636 b Fj(u)26 b(t)3942 3663 y Fl(simplify)21 b(units)j (expression)680 b Fj(u)26 b(s)3942 3743 y Fl(view)e(units)g(table)948 b Fj(u)26 b(v)3942 3851 y Fl(Common)c(units:)4013 3931 y(distance:)32 b Fj(m)p Fl(,)23 b Fj(cm)p Fl(,)h Fj(mm)p Fl(,)g Fj(km)p Fl(;)f Fj(in)p Fl(,)h Fj(ft)p Fl(,)g Fj(mi)p Fl(,)f Fj(mfi)p Fl(;)h Fj(point)p Fl(,)h Fj(lyr)4013 4010 y Fl(v)n(olume:)30 b Fj(l)24 b Fl(or)f Fj(L)p Fl(,)h Fj(ml)p Fl(;)f Fj(gal)p Fl(,)h Fj(qt)p Fl(,)g Fj(pt)p Fl(,)g Fj(cup)p Fl(,)g Fj(floz)p Fl(,)g Fj(tbsp)p Fl(,)g Fj(tsp)4013 4090 y Fl(mass:)29 b Fj(g)p Fl(,)24 b Fj(mg)p Fl(,)f Fj(kg)p Fl(,)h Fj(t)p Fl(;)g Fj(lb)p Fl(,)f Fj(oz)p Fl(,)h Fj(ton)4013 4170 y Fl(time:)30 b Fj(s)24 b Fl(or)f Fj(sec)p Fl(,)h Fj(ms)p Fl(,)g Fj(us)p Fl(,)f Fj(ns)p Fl(,)h Fj(min)p Fl(,)g Fj(hr)p Fl(,)g Fj(day)p Fl(,)g Fj(wk)4013 4249 y Fl(temp)r(erature:)31 b Fj(degC)p Fl(,)24 b Fj(degF)p Fl(,)h Fj(K)p eop %%Page: 2 2 2 1 bop -297 -364 a Fm(GNU)45 b(Calc)h(Reference)g(Card)-450 -141 y Fk(Programmer's)40 b(F)-10 b(unctions)-450 24 y Fl(binary)k(,)23 b(o)r(ctal,)h(hex)h(displa)n(y)663 b Fj(d)26 b(2)p Fl(,)39 b Fj(d)26 b(8)p Fl(,)39 b Fj(d)27 b(6)-450 104 y Fl(decimal,)22 b(other)j(radix)e(displa)n(y)579 b Fj(d)26 b(0)p Fl(,)39 b Fj(d)26 b(r)-450 184 y Fl(displa)n(y)e (leading)g(zeros)804 b Fj(d)26 b(z)-450 263 y Fl(en)n(tering)f (non-decimal)e(n)n(um)n(b)r(ers)509 b Fj(16#7FFF)-450 372 y Fl(binary)24 b(w)n(ord)f(size)934 b Fj(b)26 b(w)-450 451 y Fl(binary)e(AND,)e(OR,)h(X)n(OR)708 b Fj(b)26 b(a)p Fl(,)39 b Fj(b)26 b(o)p Fl(,)39 b Fj(b)27 b(x)-450 531 y Fl(binary)d(DIFF,)f(NOT)845 b Fj(b)26 b(d)p Fl(,)39 b Fj(b)26 b(n)-450 611 y Fl(left)d(shift)1181 b Fj(b)26 b(l)-450 690 y Fl(logical)e(righ)n(t)f(shift)914 b Fj(b)26 b(r)-450 770 y Fl(arithmetic)d(righ)n(t)h(shift)792 b Fj(b)26 b(R)-450 878 y Fl(in)n(teger)e(quotien)n(t,)h(remainder)598 b Fj(\\)p Fl(,)39 b Fj(\045)-450 958 y Fl(in)n(teger)24 b(square)g(ro)r(ot,)g(logarithm)515 b Fj(f)26 b(Q)p Fl(,)39 b Fj(f)26 b(I)-450 1038 y Fl(\015o)r(or,)d(ceiling,)h(round)f(to)i(in)n (teger)519 b Fj(F)p Fl(,)39 b Fj(I)26 b(F)p Fl(,)39 b Fj(R)-450 1241 y Fk(V)-10 b(ariables)-450 1364 y Fl(V)k(ariable)23 b(names)g(are)h(single)f(digits)h(or)f(whole)h(w)n(ords.)-450 1472 y(store)g(to)g(v)l(ariable)940 b Fj(s)26 b(t)-450 1552 y Fl(store)e(and)g(k)n(eep)h(on)f(stac)n(k)715 b Fj(s)26 b(s)-450 1631 y Fl(recall)d(from)f(v)l(ariable)844 b Fj(s)26 b(r)-450 1711 y Fl(shorthands)f(for)d(digit)i(v)l(ariables) 537 b Fj(t)26 b Ff(n)p Fl(,)39 b Fj(s)26 b Ff(n)p Fl(,)39 b Fj(r)26 b Ff(n)-450 1791 y Fl(unstore,)e(exc)n(hange)i(v)l(ariable) 626 b Fj(s)26 b(u)p Fl(,)39 b Fj(s)26 b(x)-450 1870 y Fl(edit)e(v)l(ariable)1058 b Fj(s)26 b(e)-450 2064 y Fk(V)-10 b(ector)38 b(Op)s(erations)-450 2230 y Fl(v)n(ector)25 b(of)e(1,)h(2,)f Fe(:)11 b(:)h(:)f Fl(,)23 b Ff(n)814 b Fj(v)26 b(x)h Ff(n)-450 2310 y Fl(v)n(ector)e(of)e Ff(n)h Fl(coun)n(ts)h(from)c Ff(a)j Fl(b)n(y)g Ff(b)505 b Fj(C-u)27 b(v)f(x)-450 2389 y Fl(v)n(ector)f(of)e(copies)h(of)g(a)f (v)l(alue)643 b Fj(v)26 b(b)-450 2469 y Fl(concatenate)h(in)n(to)d(v)n (ector)722 b Fj(|)-450 2549 y Fl(pac)n(k)25 b(man)n(y)e(stac)n(k)i (items)d(in)n(to)i(v)n(ector)384 b Fj(v)26 b(p)-450 2628 y Fl(unpac)n(k)f(v)n(ector)g(or)e(ob)t(ject)710 b Fj(v)26 b(u)-450 2737 y Fl(length)f(of)e(v)n(ector)i(\(list\))783 b Fj(v)26 b(l)-450 2816 y Fl(rev)n(erse)e(v)n(ector)1017 b Fj(v)26 b(v)-450 2896 y Fl(sort,)d(grade)h(v)n(ector)900 b Fj(V)26 b(S)p Fl(,)39 b Fj(V)26 b(G)-450 2976 y Fl(histogram)d(of)g (v)n(ector)i(data)682 b Fj(V)26 b(H)-450 3056 y Fl(extract)f(v)n(ector) g(elemen)n(t)750 b Fj(v)26 b(r)-450 3164 y Fl(matrix)c(determinan)n(t,) i(in)n(v)n(erse)583 b Fj(V)26 b(D)p Fl(,)39 b Fj(&)-450 3244 y Fl(matrix)22 b(transp)r(ose,)i(trace)723 b Fj(v)26 b(t)p Fl(,)39 b Fj(V)26 b(T)-450 3323 y Fl(cross,)d(dot)h(pro)r(ducts) 854 b Fj(V)26 b(C)p Fl(,)39 b Fj(*)-450 3403 y Fl(iden)n(tit)n(y)25 b(matrix)972 b Fj(v)26 b(i)-450 3483 y Fl(extract)f(matrix)e(ro)n(w,)f (column)591 b Fj(v)26 b(r)p Fl(,)39 b Fj(v)26 b(c)-450 3591 y Fl(in)n(tersection,)e(union,)g(di\013)g(of)f(sets)508 b Fj(V)26 b(^)p Fl(,)39 b Fj(V)26 b(V)p Fl(,)39 b Fj(V)27 b(-)-450 3671 y Fl(cardinalit)n(y)d(of)f(set)921 b Fj(V)26 b(#)-450 3779 y Fl(add)e(v)n(ectors)h(elemen)n(t)n(wise)e(\(i.e.,)g (map)g Fj(+)p Fl(\))295 b Fj(V)26 b(M)h(+)-450 3859 y Fl(sum)22 b(elemen)n(ts)i(in)f(v)n(ector)i(\(i.e.,)e(reduce)h Fj(+)p Fl(\))262 b Fj(V)26 b(R)h(+)-450 3938 y Fl(sum)22 b(ro)n(ws)i(in)f(matrix)838 b Fj(V)26 b(R)h(_)f(+)-450 4018 y Fl(sum)c(columns)h(in)h(matrix)726 b Fj(V)26 b(R)h(:)f(+)-450 4098 y Fl(sum)c(elemen)n(ts,)i(accum)n(ulate)g(results)411 b Fj(V)26 b(U)h(+)1746 -364 y Fk(Algebra)1746 -198 y Fl(en)n(ter)d(an)g(algebraic)g(form)n(ula)629 b Fj(')36 b(2x+3y^2)1746 -119 y Fl(en)n(ter)24 b(an)g(equation)901 b Fj(')36 b(2x^2=18)1746 -10 y Fl(sym)n(b)r(olic)22 b(\(vs.)i(n)n (umeric\))f(mo)r(de)549 b Fj(m)26 b(s)1746 69 y Fl(fractions)e(\(vs.)f (\015oat\))i(mo)r(de)661 b Fj(m)26 b(f)1746 149 y Fl(suppress)e(ev)l (aluation)h(of)e(form)n(ulas)472 b Fj(m)26 b(O)1746 229 y Fl(simplify)21 b(form)n(ulas)h(automatically)465 b Fj(m)26 b(S)1746 308 y Fl(return)e(to)g(default)g(ev)l(aluation)h (rules)416 b Fj(m)26 b(D)1746 417 y Fl(\\Big")e(displa)n(y)f(mo)r(de) 835 b Fj(d)26 b(B)1746 496 y Fl(C,)d(P)n(ascal,)h(F)n(OR)-6 b(TRAN)23 b(mo)r(des)535 b Fj(d)26 b(C)p Fl(,)39 b Fj(d)26 b(P)p Fl(,)39 b Fj(d)27 b(F)1746 576 y Fl(T)1785 590 y(E)1824 576 y(X,)c(eqn)i(mo)r(des)939 b Fj(d)26 b(T)p Fl(,)39 b Fj(d)26 b(E)1746 656 y Fl(Unformatted)d(mo)r(de)854 b Fj(d)26 b(U)1746 735 y Fl(Normal)c(language)j(mo)r(de)726 b Fj(d)26 b(N)1746 844 y Fl(simplify)21 b(form)n(ula)936 b Fj(a)26 b(s)1746 923 y Fl(put)e(form)n(ula)e(in)n(to)i(rational)g (form)501 b Fj(a)26 b(n)1746 1003 y Fl(ev)l(aluate)f(v)l(ariables)f(in) f(form)n(ula)552 b Fj(=)1746 1083 y Fl(ev)l(aluate)25 b(n)n(umerically)806 b Fj(N)1746 1163 y Fl(let)24 b(v)l(ariable)g (equal)g(a)g(v)l(alue)g(in)f(form)n(ula)327 b Fj(s)26 b(l)h Ff(x)8 b Fj(=)p Ff(val)1746 1242 y Fl(declare)24 b(prop)r(erties)g(of)f(v)l(ariable)548 b Fj(s)26 b(d)1817 1322 y Fl(Common)21 b(decls:)32 b Fj(pos)p Fl(,)24 b Fj(int)p Fl(,)g Fj(real)p Fl(,)g Fj(scalar)p Fl(,)h Fj([)p Ff(a)p Fj(..)p Ff(b)7 b Fj(])p Fl(.)1746 1430 y(expand,)25 b(collect)f(terms)782 b Fj(a)26 b(x)p Fl(,)39 b Fj(a)26 b(c)1746 1510 y Fl(factor,)e(partial)f(fractions)726 b Fj(a)26 b(f)p Fl(,)39 b Fj(a)26 b(a)1746 1590 y Fl(p)r(olynomial)d (quotien)n(t,)i(remainder,)d(GCD)264 b Fj(a)26 b(\\)p Fl(,)39 b Fj(a)26 b(\045)p Fl(,)39 b Fj(a)27 b(g)1746 1669 y Fl(deriv)l(ativ)n(e,)d(in)n(tegral)864 b Fj(a)26 b(d)p Fl(,)39 b Fj(a)26 b(i)1746 1749 y Fl(ta)n(ylor)e(series)1070 b Fj(a)26 b(t)1746 1857 y Fl(principal)d(solution)h(to)g(equation\(s\)) 448 b Fj(a)26 b(S)1746 1937 y Fl(list)d(of)g(solutions)971 b Fj(a)26 b(P)1746 2017 y Fl(generic)e(solution)958 b Fj(H)26 b(a)h(S)1746 2096 y Fl(apply)d(function)g(to)h(b)r(oth)f(sides) g(of)f(eqn)360 b Fj(a)26 b(M)1746 2205 y Fl(rewrite)d(form)n(ula)964 b Fj(a)26 b(r)1817 2284 y Fl(Example:)k Fj(a)36 b(r)f(a*b)h(+)g(a*c)g (:=)g(a*\(b+c\))1817 2364 y Fl(Example:)30 b Fj(a)36 b(r)f(sin\(x\)^2)j(:=)e(1-cos\(x\)^2)1817 2444 y Fl(Example:)30 b Fj(a)36 b(r)f(cos\(n)i(pi\))f(:=)g(1)f(::)h(integer\(n\))i(::)e (n\0452)g(=)g(0)1817 2524 y Fl(Example:)30 b Fj(a)36 b(r)f([f\(0\))i(:=)f(1,)g(f\(n\))g(:=)g(n)f(f\(n-1\))i(::)f(n)g(>)f(0]) 1817 2603 y Fl(Put)24 b(rules)f(in)g Fj(EvalRules)j Fl(to)e(ha)n(v)n(e) h(them)e(apply)i(automatically)-6 b(.)1817 2683 y(Put)24 b(rules)f(in)g Fj(AlgSimpRules)k Fl(to)d(apply)g(during)g Fj(a)i(s)e Fl(command.)1817 2763 y(Common)d(mark)n(ers:)30 b Fj(opt)p Fl(,)24 b Fj(plain)p Fl(,)h Fj(quote)p Fl(,)f Fj(eval)p Fl(,)g Fj(let)p Fl(,)g Fj(remember)p Fl(.)1746 2968 y Fk(Numerical)37 b(Computations)1746 3133 y Fl(sum)22 b(form)n(ula)g(o)n(v)n(er)i(a)g(range)654 b Fj(a)26 b(+)1746 3213 y Fl(pro)r(duct)f(of)e(form)n(ula)f(o)n(v)n(er)i(a)g(range)458 b Fj(a)26 b(*)1746 3293 y Fl(tabulate)f(form)n(ula)d(o)n(v)n(er)i(a)g (range)525 b Fj(a)26 b(T)1746 3372 y Fl(in)n(tegrate)f(n)n(umerically)d (o)n(v)n(er)i(a)g(range)386 b Fj(a)26 b(I)1746 3452 y Fl(\014nd)e(zero)g(of)g(form)n(ula)d(or)j(equation)461 b Fj(a)26 b(R)1746 3532 y Fl(\014nd)e(lo)r(cal)g(min,)e(max)g(of)i (form)n(ula)499 b Fj(a)26 b(N)p Fl(,)39 b Fj(a)26 b(X)1746 3611 y Fl(\014t)e(data)h(to)f(line)f(or)h(curv)n(e)719 b Fj(a)26 b(F)1746 3720 y Fl(mean)d(of)h(data)g(in)g(v)n(ector)g(or)g (v)l(ariable)389 b Fj(u)26 b(M)1746 3799 y Fl(median)d(of)g(data)977 b Fj(H)26 b(u)h(M)1746 3879 y Fl(geometric)d(mean)f(of)g(data)714 b Fj(u)26 b(G)1746 3959 y Fl(sum,)c(pro)r(duct)j(of)e(data)790 b Fj(u)26 b(+)p Fl(,)39 b Fj(u)26 b(*)1746 4038 y Fl(minim)n(um,)19 b(maxim)n(um)i(of)i(data)559 b Fj(u)26 b(N)p Fl(,)39 b Fj(u)26 b(X)1746 4118 y Fl(sample,)c(p)r(op.)i(standard)h(deviation) 448 b Fj(u)26 b(S)p Fl(,)39 b Fj(I)26 b(u)h(S)3942 -364 y Fk(Selections)3942 -198 y Fl(select)e(subform)n(ula)d(under)i(cursor) 493 b Fj(j)26 b(s)3942 -119 y Fl(select)f Ff(n)5 b Fl(th)24 b(subform)n(ula)769 b Fj(j)26 b Ff(n)3942 -39 y Fl(select)f(more)1093 b Fj(j)26 b(m)3942 41 y Fl(unselect)f(this,)e(all)g(form)n(ulas)649 b Fj(j)26 b(u)p Fl(,)39 b Fj(j)26 b(c)3942 149 y Fl(cop)n(y)f (indicated)f(subform)n(ula)627 b Fj(j)26 b(RET)3942 229 y Fl(delete)f(indicated)g(subform)n(ula)587 b Fj(j)26 b(DEL)3942 337 y Fl(comm)n(ute)d(selected)i(terms)699 b Fj(j)26 b(C)3942 417 y Fl(comm)n(ute)d(term)f(left)n(w)n(ard,)i(righ) n(t)n(w)n(ard)379 b Fj(j)26 b(L)p Fl(,)39 b Fj(j)26 b(R)3942 496 y Fl(distribute,)e(merge)e(selection)629 b Fj(j)26 b(D)p Fl(,)39 b Fj(j)26 b(M)3942 576 y Fl(isolate)e(selected)h(term)e (in)g(equation)443 b Fj(j)26 b(I)3942 656 y Fl(negate,)f(in)n(v)n(ert)f (term)f(in)g(con)n(text)519 b Fj(j)26 b(N)p Fl(,)39 b Fj(j)26 b(&)3942 735 y Fl(rewrite)d(selected)i(term)792 b Fj(j)26 b(r)3942 940 y Fk(Graphics)3942 1106 y Fl(graph)e(function)g (or)g(data)741 b Fj(g)26 b(f)3942 1186 y Fl(graph)e(3D)g(function)g(or) f(data)629 b Fj(g)26 b(F)3942 1265 y Fl(replot)e(curren)n(t)g(graph)815 b Fj(g)26 b(p)3942 1345 y Fl(prin)n(t)e(curren)n(t)g(graph)844 b Fj(g)26 b(P)3942 1425 y Fl(add)e(curv)n(e)g(to)h(graph)852 b Fj(g)26 b(a)3942 1504 y Fl(set)e(n)n(um)n(b)r(er)f(of)g(data)i(p)r (oin)n(ts)644 b Fj(g)26 b(N)3942 1584 y Fl(set)e(line,)f(p)r(oin)n(t)h (st)n(yles)824 b Fj(g)26 b(s)p Fl(,)39 b Fj(g)26 b(S)3942 1664 y Fl(set)e(log)g(vs.)f(linear)g Ff(x,)i(y)f Fl(axis)653 b Fj(g)26 b(l)p Fl(,)39 b Fj(g)26 b(L)3942 1743 y Fl(set)e(range)g(for) f Ff(x,)i(y)f Fl(axis)771 b Fj(g)26 b(r)p Fl(,)39 b Fj(g)26 b(R)3942 1823 y Fl(close)e(graphics)g(windo)n(w)759 b Fj(g)26 b(q)3942 2028 y Fk(Programming)3942 2194 y Fl(b)r(egin,)e(end)g (recording)g(a)g(macro)539 b Fj(C-x)27 b(\()p Fl(,)39 b Fj(C-x)27 b(\))3942 2273 y Fl(repla)n(y)d(k)n(eyb)r(oard)h(macro)733 b Fj(X)3942 2353 y Fl(read)24 b(region)g(as)f(written-out)i(macro)423 b Fj(M-#)36 b(m)3942 2433 y Fl(if,)22 b(else,)i(endif)1051 b Fj(Z)26 b([)p Fl(,)39 b Fj(Z)26 b(:)p Fl(,)39 b Fj(Z)27 b(])3942 2512 y Fl(equal)d(to,)g(less)f(than,)i(mem)n(b)r(er)c(of)506 b Fj(a)26 b(=)p Fl(,)39 b Fj(a)26 b(<)p Fl(,)39 b Fj(a)27 b({)3942 2592 y Fl(rep)r(eat)e Ff(n)e Fl(times,)f(break)j(from)c(lo)r (op)459 b Fj(Z)26 b(<)p Fl(,)39 b Fj(Z)26 b(>)p Fl(,)39 b Fj(Z)27 b(/)3942 2672 y Fl(\\for")c(lo)r(op:)32 b(start,)23 b(end;)h(b)r(o)r(dy)-6 b(,)24 b(step)421 b Fj(Z)26 b(\()p Fl(,)39 b Fj(Z)26 b(\))3942 2752 y Fl(sa)n(v)n(e,)e(restore)g(mo)r(de)f (settings)612 b Fj(Z)26 b(`)p Fl(,)39 b Fj(Z)26 b(')3942 2831 y Fl(displa)n(y)e(message)f(during)g(macro)517 b Fj(Z)26 b(=)3942 2911 y Fl(query)e(user)g(during)f(macro)682 b Fj(Z)26 b(#)3942 2991 y Fl(put)e(\014nished)h(macro)d(on)i(a)g(k)n (ey)580 b Fj(Z)26 b(K)3942 3099 y Fl(de\014ne)f(function)f(with)g(form) n(ula)562 b Fj(Z)26 b(F)3942 3179 y Fl(edit)e(de\014nition)1010 b Fj(Z)26 b(E)3942 3287 y Fl(record)e(user-de\014ned)g(command)f(p)r (ermanen)n(tly)124 b Fj(Z)26 b(P)3942 3367 y Fl(record)e(v)l(ariable)f (v)l(alue)i(p)r(ermanen)n(tly)391 b Fj(s)26 b(p)3942 3446 y Fl(record)e(mo)r(de)f(settings)h(p)r(ermanen)n(tly)389 b Fj(m)26 b(m)4235 3719 y Fh(Cop)n(yrigh)n(t)4538 3717 y(c)4521 3719 y Fg(\015)21 b Fh(2001)i(F)-5 b(ree)21 b(Soft)n(w)n(are)i(F)-5 b(oundation,)20 b(Inc.)4181 3783 y(designed)h(b)n(y)g(Da)n(v)n(e)h(Gillespie)d(and)h(Stephen)g(Gildea,)g (v2.03)4213 3847 y(for)h(GNU)f(Emacs)i(Calc)f(v)n(ersion)g(2.03)h(\(No) n(v)n(em)n(b)r(er)f(2001\))3942 3939 y(P)n(ermission)28 b(is)f(gran)n(ted)i(to)f(mak)n(e)h(and)e(distribute)f(copies)j(of)f (this)f(card)h(pro-)3942 4003 y(vided)23 b(the)h(cop)n(yrigh)n(t)h (notice)g(and)f(this)f(p)r(ermission)h(notice)g(are)h(preserv)n(ed)g (on)3942 4067 y(all)20 b(copies.)3942 4159 y(F)-5 b(or)24 b(copies)g(of)g(the)f(GNU)f(Emacs)i(Calc)g(man)n(ual,)g(write)f(to)h (the)f(F)-5 b(ree)24 b(Soft)n(w)n(are)3942 4223 y(F)-5 b(oundation,)20 b(Inc.,)g(675)i(Massac)n(h)n(usetts)i(Av)n(e,)c(Cam)n (bridge)h(MA)g(02139.)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF