HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 247
Ibernoulli, Ichinrem
UPC - 882780045217
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hp40g+.book Page 65 Friday, December 9, 2005 1:03 AM IBERNOULLI ICHINREM ILAP Example Typing: IABCUV(48, 30, 18) gives: 6 AND -9 Returns the nth Bernoulli's number B(n) where: +∞ ∑ ------t------ = et - 1 B-----(--n----) tn n! n=0 Example Typing: IBERNOULLI(6) gives: 4---1---2---- Chinese Remainders: ICHINREM(A AND P,B AND Q) returns C AND R, where A, B, P and Q are whole numbers. The numbers X = C + k · R where k is an integer are such that X = A mod P and X = B mod Q. A solution X always exists when P and Q are mutually prime, (GCD(P,Q) = 1) and in this case, all the solutions are congruent modulo R = P · Q. Example Typing: ICHINREM(7 AND 10, 12 AND 15) gives: -3 AND 30 LAP is the Laplace transform of a given expression. The expression is the value of a function of the variable stored in VX. Computer Algebra System (CAS) 14-65