Collect; Constants; Curl - HP 48gII Advanced User's Reference Manual

COLLECT

Type: Command
Description: Factorizes a polynomial or an integer. This command is identical to the COLCT command
and similar to the FACTOR command. Unlike FACTOR it does not factorize symbolically
into square roots. It is included to ensure backward-compatibility with earlier calculators.
Algebra, ...×
Access:
Input: An expression or an integer
Output: The factorized expression, or the integer expressed as the product of prime numbers.
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).
If complex inputs are given, complex mode must be set (flag –103 set).
Example: Factorize the following:
2
x + 5x +
Command:
COLLECT(X^2+5*X+6)
Result:
(X+2)(X+3)
See also: COLCT, EXPAND, FACTOR

CONSTANTS

Type: Command
Description: Displays a menu or list of CAS symbolic constants.
Catalog, ...µ
Access:
Flags: If the CHOOSE boxes flag is clear (flag –117 clear), displays the operations as a numbered
list. If the flag is set, displays the operations as a menu of function keys.
See also: ALGB, ARIT, DIFF, EXP&LN, INTEGER, MAIN, MATHS, MATR, MODULAR,
POLYNOMIAL, REWRITE, TESTS, TRIGO

CURL

Type: Function
Description: Returns the curl of a three-dimensional vector function.
Calculus, !Ö
Access:
Input: Level 2/Argument 1: A three-dimensional vector function of three variables.
Level 1/Argument 2: An array comprising the three variables.
Output: The curl of the vector function with respect to the specified variables.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Example: Find the curl of the following vector function:
2
v x y i
=
˜
Command:
CURL([X^2*Y, X^2*Y, Y^2*Z],[X,Y,Z])
Result:
[Z*2*Y,0,Y*2*X-X^2]
See Also: DIV, HESS, VPOTENTIAL
6
. &
DERIV INTEG
2 2
x y j y z k
+ +
˜ ˜
.
Computer Algebra Commands 4-19