Owner's manual

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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(STh) 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
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