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%%Page: 2 2
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(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