Computer Algebra Commands 4-41
Level 1/Item 3: b.
Note the order, c is first.
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, b and c such that a18 + b24 = c, where c is the GCD of 18 and 24.
Command:
IEGCD(18,24)
Result: {6,-1,1}
See also: ABCUV, EGCD, IABCUV
ILAP
Type: Function
Description: Returns the inverse Laplace transform of an expression. The expression must evaluate to a
rational fraction.
Access: Calculus, !ÖDIFFERENTIAL EQNS
Input: A rational expression.
Output: The inverse Laplace transformation of the expression.
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 inverse Laplace transform of:
Command:
ILAP(1/(X-5)^2)
Result: X*EXP(5*X)
See also: LAP, LAPL
IMAGE
Type: Command
Description: Computes the basis of the image (also called the range) of a linear application f.
Access: Matrices, !Ø LINEAR APPL
Input: A matrix representing a linear application f in terms of the standard basis.
Output: A list of vectors representing a basis of the image of f.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Example: Find the image of
112
213
314
Command: IMAGE([1,1,2] [2,1,3] [3,1,4])
Result: {[1,0,-1] [0,1,2]}
See also: BASIS, KER
INT
Type: Function
Description: Calculates the antiderivative of a function for a given variable, at a given point.
Access: Catalog, …µ
1
x 5–()
2
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