hp40g+.book Page 65 Friday, December 9, 2005 1:03 AM

Example

Typing:

IABCUV(48, 30, 18)

gives:

6 AND –9

IBERNOULLI

Returns the nth Bernoulli’s number B(n) where:

t

------------

et – 1

+∞

B(n) n

=----------- t n!

n = 0

 

Example

 

Typing:

 

IBERNOULLI(6)

 

gives:

 

1

 

-----------

 

42

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.

Computer Algebra System (CAS)

14-65