HP 40gs User Manual
Page 247
Computer Algebra System (CAS)
14-65
Example
Typing:
IABCUV(48, 30, 18)
gives:
6 AND –9
IBERNOULLI
Returns the nth Bernoulli’s number B(n) where:
Example
Typing:
IBERNOULLI(6)
gives:
ICHINREM
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
ILAP
LAP is the Laplace transform of a given expression. The
expression is the value of a function of the variable stored
in VX.
t
e
t
1
–
-------------
B n
( )
n!
----------- t
n
n
0
=
+
∞
∑
=
1
42
-----------
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