HP 40gs User Manual page 247

IBERNOULLI
ICHINREM
ILAP
Computer Algebra System (CAS)
Example
Typing:
IABCUV(48, 30, 18)
gives:
6 AND –9
Returns the nth Bernoulli's number B(n) where:
+ ∞
B n ( )
t
∑
------------ - ----------- t
=
t
e – 1
n = 0
Example
Typing:
IBERNOULLI(6)
gives:
1
---------- -
42
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.
n
n!
14-65