HP 50g User's Reference Manual
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Brand: HP
Category: Calculator
Type: Advanced user's reference manual
Model: HP 48gII , HP 49g+ , HP 50G
Pages: 693
3-96 Full Command and Function Reference
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Radians mode must be set (flag –17 set).
Example: Find a Grœbner basis of the ideal polynomial generated by the polynomials:
x
2
+ 2xy
2
, xy + 2y
3
– 1
Command:
GBASIS([X^2 + 2*X*Y^2, X*Y + 2*Y^3 – 1], [X,Y])
Result:
[X, 2*Y^3-1]
Note this is not the minimal Grœbner basis, as the leading coefficient of the second term is not 1;
the algorithm used avoids giving results with fractions.
See also: GREDUCE
GCD
Type: Function
Description: Returns the greatest common divisor of two objects.
Access: Arithmetic, !Þ
POLY
L
Input: Level 2/Argument 1: An expression, or an object that evaluates to a number.
Level 1/Argument 2: An expression, or an object that evaluates to a number.
Output: The greatest common divisor of the two objects.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Example: Find the greatest common divisor of 2805 and 99.
Command:
GCD(2805,99)
Result:
33
See also: GCDMOD, EGCD, IEGCD, LCM
GCDMOD
Type: Function
Description: Finds the greatest common divisor of two polynomials modulo the current modulus.
Access: Arithmetic, !Þ
MODULO
Input: Level 2/Argument 1: A polynomial expression.
Level 1/Argument 2: A polynomial expression.
Output: The greatest common divisor of the two expressions modulo the current modulus.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Radians mode must be set (flag –17 set).
Example: Find the greatest common divisor of 2x^2+5 and 4x^2-5x, modulo 13.
Command:
GCDMOD(2X^2+5,4X^2-5X)
Result:
-(4X-5)
See also: GCD
GET
Type: Command
Description: Get Element Command: Returns from the argument 1/level 2 array or list (or named array or list)
the real or complex number z
get
or object obj
get
whose position is specified in argument 2/level 1.
For matrices, n
position
is incremented in row order.