📄 bernoulli
字号:
NAME bernoulli - Bernoulli numberSYNOPSIS bernoulli(n)TYPES n integer, n < 2^31 if even return rationalDESCRIPTION Returns the Bernoulli number with index n, i.e. the coefficient B_n in the expansion t/(exp(t) - 1) = Sum B_n * t^n/n! bernoulli(n) is zero both for n < 0 and for n odd and > 2. When bernoulli(n) is computed for positive even n, the values for n and smaller positive even indices are stored in a table so that a later call to bernoulli(k) with 0 <= k < n will be executed quickly. Considerable runtime and memory are required for calculating bernoulli(n) for large even n. For n = 1000, the numerator has 1779 digits, the denominator 9 digits. The memory used to store calculated bernoulli numbers is freed by freebernoulli().EXAMPLE ; config("mode", "frac"),; ; for (n = 0; n <= 6; n++) print bernoulli(n),; print; 1 -1/2 1/6 0 -1/30 0 1/42LIMITS n < 2^31-1LIBRARY NUMBER *qbernoulli(long n)SEE ALSO euler, catalan, comb, fact, perm## Copyright (C) 2000 Ernest Bowen#### Calc is open software; you can redistribute it and/or modify it under## the terms of the version 2.1 of the GNU Lesser General Public License## as published by the Free Software Foundation.#### Calc is distributed in the hope that it will be useful, but WITHOUT## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General## Public License for more details.#### A copy of version 2.1 of the GNU Lesser General Public License is## distributed with calc under the filename COPYING-LGPL. You should have## received a copy with calc; if not, write to Free Software Foundation, Inc.## 59 Temple Place, Suite 330, Boston, MA 02111-1307, USA.#### @(#) $Revision: 29.6 $## @(#) $Id: bernoulli,v 29.6 2006/05/07 07:25:46 chongo Exp $## @(#) $Source: /usr/local/src/cmd/calc/help/RCS/bernoulli,v $#### Under source code control: 2000/07/13 01:33:00## File existed as early as: 2000#### Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
⌨️ 快捷键说明
复制代码
Ctrl + C
搜索代码
Ctrl + F
全屏模式
F11
切换主题
Ctrl + Shift + D
显示快捷键
?
增大字号
Ctrl + =
减小字号
Ctrl + -