Partfrac, Q@ih) – HP 49g Graphing Calculator User Manual
Page 168
Attention! The text in this document has been recognized automatically. To view the original document, you can use the "Original mode".
PA2B2
Type:
Command
Description:
Takes a prime number, p, such thatp=2 or p = 1 modulo
4, and returns a Gaussian integer
a
+
ib
such thatp = a,^
+
b^.
This fimction is useful for factorizing Gaussian
integers.
Access:
Arithmetic,
R(ST
h
)
integer
Input:
A prime number, p, such that p=2 or
p
= 1 modulo 4
Output:
A Gaussian integer a+ib such that p=a^+h^
Flags:
Exact mode must be set (flag -105 clear).
Numeric mode must not be set (flag -03 clear).
See also:
GAUSS
PARTFRAC
Type:
Command
Description:
Performs partial fraction decomposition on a partial
fraction.
Access:
Arithmetic,
Q@IH)
polynomial
Input:
An algebraic expression.
Output:
The partial fraction decomposition of the expression.
Flags:
Exact mode must be set (flag -105 clear).
Niuueric mode must not be set (flag -03 clear).
Example:
Perform a partial fraction decomposition of the
following expression:
1
x^- 1
Command:
PARTFRAC (1/
(X-'2-l)
)
Result:
( - 1 +
(l/X+''2) )
Computer Algebra Commands
Page 14-45