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/dports/math/pari/pari-2.13.3/src/functions/sums/
H A Dsumnum1 Function: sumnum
5 Help: sumnum(n=a,f,{tab}): numerical summation of f(n) from
24 ? sumnum(n = 1, n^-3) - z3 \\ here slower than sumpos
60 ? sumnum(n = 1, lngamma(1+1/n)/n, tab);
80 ? sumnum(n=1,2^-n)
81 *** at top-level: sumnum(n=1,2^-n)
90 sumnum(n = [a, asymp], f)
94 sumnum(n = a, f, tab)
100 ? sumnum(n = 1, n^(-2)) - zeta(2) \\ accurate, fast
121 ? sumnum(n=1,-log(n)*n^(-4/3), tab) - zeta'(4/3)
[all …]
H A Dsumnuminit16 ? sumnum(n=1, n^-2);
20 ? sumnum(n=1, n^-2, tab); \\ faster
25 ? sumnum(n=1, 2^-n, tab)
30 ? sumnum(n=1, n^(-4/3), tab);
H A Dsumpos17 function \kbd{sumnum} is in general much faster once the initializations
18 have been made using \kbd{sumnuminit}. Contrary to \kbd{sumnum},
21 ? sumnum(n = 0, 1/n!)
22 *** at top-level: sumnum(n=1,1/n!)
H A Dsumnummonieninit28 ? s = sumnum(n = 1, sin(1/sqrt(n)) / n); \\ reference point
38 result given by \kbd{sumnum} at \kbd{\bs p38} is slighly incorrect,
49 computed using \kbd{sumnum}. The following variants are available
H A Dsuminf22 \kbd{sumnum} if the function is $C^\infty$.
49 ? exponent(sumnum(i = 1, 1 / i^2) - zeta(2))
H A Dsumnumap35 The default algorithm \kbd{sumnum} is usually a little \emph{slower}
/dports/math/pari/pari-2.13.3/src/test/in/
H A Dsumnum24 FUN=[f->sumnum(n=1,f(n)), f->sumnummonien(n=1,f(n)), f->sumnumap(n=1,f(n))];
40 sumnum(n = [1, -3/2], sin(1/sqrt(n))/n)
56 localprec(57); V = sumnum(n=[1,-3/2], sin(1/sqrt(n))/n);
60 check(sumnum(n=[1,-3/2], sin(1/sqrt(n))/n), V)
98 b = sumnum(n=1, 1/(n^3+n+1), tab);
103 b = sumnum(n=1,1/(n^2+1), tab);
105 check(sumnum(n=[1,-4/3],n^(-4/3)), zeta(4/3))
107 check(sumnum(n=1,1/(n*sqrt(n)),tab), zeta(3/2))
112 check(sumnum(n=[1, 1],2^(-n)), 1)
130 sumnum(n=1,1/n^2,"bug");
H A Dprogramming71 print("sumnum : ",sumnum(n=1,n^-2))
/dports/math/p5-Math-Pari/pari-2.3.5/src/test/in/
H A Dintnum39 b = sumnum(n=1,2, 1/(n^3+n+1), tab);
41 sumnum(n=1,2, 1/(n^3+n+1), tab, 1) - a
42 c = sumnum(n=1,2,1/(n^2+1),tab,1);
45 sumnum(n=1,2,n^(-4/3),,1) - zeta(4/3)
47 sumnum(n=1,[2,-3/2],1/(n*sqrt(n)),tab,1)-zeta(3/2)
51 sumnum(n=1,[2,log(2)],2^(-n), intnumstep()+1, 1) - 1
/dports/math/p5-Math-Pari/pari-2.3.5/src/test/64/
H A Dintnum60 ? b=sumnum(n=1,2,1/(n^3+n+1),tab);
63 ? sumnum(n=1,2,1/(n^3+n+1),tab,1)-a
65 ? c=sumnum(n=1,2,1/(n^2+1),tab,1);
69 ? sumnum(n=1,2,n^(-4/3),,1)-zeta(4/3)
74 ? sumnum(n=1,[2,-3/2],1/(n*sqrt(n)),tab,1)-zeta(3/2)
80 ? sumnum(n=1,[2,log(2)],2^(-n),intnumstep()+1,1)-1
/dports/math/p5-Math-Pari/pari-2.3.5/src/test/32/
H A Dintnum60 ? b=sumnum(n=1,2,1/(n^3+n+1),tab);
63 ? sumnum(n=1,2,1/(n^3+n+1),tab,1)-a
65 ? c=sumnum(n=1,2,1/(n^2+1),tab,1);
69 ? sumnum(n=1,2,n^(-4/3),,1)-zeta(4/3)
74 ? sumnum(n=1,[2,-3/2],1/(n*sqrt(n)),tab,1)-zeta(3/2)
80 ? sumnum(n=1,[2,log(2)],2^(-n),intnumstep()+1,1)-1
/dports/math/p5-Math-Pari/pari-2.3.5/src/functions/sums/
H A Dsumnuminit6 summation. sgn is 1 (in fact >= 0), the default, for sumnum (ordinary sums)
7 or -1 (in fact < 0) for sumnumalt (alternating sums). sig is as in sumnum and
H A Dsumnum1 Function: sumnum
5 Help: sumnum(X=a,sig,expr,{tab},{flag=0}): numerical summation of expr from
H A Dintnumstep5 Help: intnumstep(): gives the default value of m used by all intnum and sumnum
/dports/math/pari/pari-2.13.3/src/test/32/
H A Dsumnum76 *** at top-level: sumnum(n=1,1/n^2,"bug")
78 *** incorrect type in sumnum (t_STR).
H A Dprogramming103 sumnum : 1.6449340668482264364724151666460251892
/dports/textproc/estraier/estraier-1.2.30/
H A Destmerge.c992 int i, j, tid, did, score, sumnum, inspan; in extractinfo() local
1006 sumnum = -1; in extractinfo()
1027 for(j = sumnum + 1; j < cblistnum(elems); j++){ in extractinfo()
1102 sumnum = -1; in extractinfo()
1133 sumnum = i; in extractinfo()
/dports/x11/xsnow/xsnow-3.4.2/src/
H A Dbirds.c277 int sumnum = 0; in do_update_speed_birds() local
336 sumnum +=num; in do_update_speed_birds()
385 float meannum = (float)sumnum/(float)Nbirds; in do_update_speed_birds()
/dports/math/form/form-4.2.1/sources/
H A Dtoken.c941 if ( n == AM.sumnum || n == AM.sumpnum ) { in simp2token()
1898 if ( n == AM.sumnum || n == AM.sumpnum ) { in simp5token()
H A Dcompiler.c712 if ( i == AM.sumnum || i == AM.sumpnum ) { in CompileSubExpressions()
1030 if ( x1 == AM.sumnum || x1 == AM.sumpnum ) sumlevel = x1; in CodeGenerator()
/dports/math/pari/pari-2.13.3/src/language/
H A Dintnum.c1693 M = shallowconcat(M, sumnum((void*)S, wrapmonw, n0, NULL, S->prec)); in M_from_wrapmon()
1697 gel(M,j) = sumnum((void*)S, wrapmonw2, mkvec2(n0,faj), NULL, S->prec); in M_from_wrapmon()
1910 sumnum(void *E, GEN (*eval)(void*, GEN), GEN a, GEN tab, long prec) in sumnum() function
1968 { EXPR_WRAP(code, sumnum(EXPR_ARG, a, tab, prec)); } in sumnum0()
/dports/math/giacxcas/giac-1.6.0/doc/pari/
H A DModRewrite-table1007 sumnum Sums__products__integrals_and_similar_functions.html#sumnum
/dports/math/p5-Math-Pari/pari-2.3.5/doc/
H A Dusersch3.tex8044 ? b = sumnum(n=1, 2, 1/(n^3+n+1), tab);
8051 ? c = sumnum(n=1, 2, 1/(n^2+1), tab, 1);
8063 ? a = sumnum(n=1, 2, n^(-4/3));
8080 ? sumnum(n=1,[2,-3/2], 1/(n*sqrt(n)), tab,1) - zeta(3/2)
8083 ? sumnum(n=1,[2,-3/2], 1/sqrt(n^3), tab,1) - zeta(3/2)
8086 ? sumnum(n=1,[2,-3/2], 1/n^(3/2), tab,1) - zeta(3/2)
8091 For exponentially decreasing functions, \kbd{sumnum} is given for
8103 ? sumnum(n=1,2, 2^(-n)) - 1
8104 *** sumnum: precision too low in mpsc1 \\@com nonsense
8110 ? sumnum(n=1,[2,log(2)], 2^(-n), m+1, 1) - 1
[all …]
/dports/math/p5-Math-Pari/pari-2.3.5/src/
H A Dfunclist568 3528282028 477 ../src/functions/sums/sumnum
/dports/math/p5-Math-Pari/pari-2.3.5/src/language/
H A Dintnum.c1807 sumnum(void *E, GEN (*f)(GEN,void*), GEN a,GEN sig,GEN tab,long flag,long prec) in sumnum() function
1815 { EXPR_WRAP(ep,ch, sumnum(EXPR_ARG, a, sig, tab, flag, prec)); } in sumnum0()

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