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:

 

 

 

 

 

 

1

 

Find the inverse Laplace transform of:(x – 5)2

 

 

 

 

 

 

 

 

------------------

 

Command:

ILAP(1/(X-5)^2)

 

 

Result:

X*EXP(5*X)

 

 

See also:

LAP, LAPL

 

 

IM

Function

 

 

Type:

 

 

Description:

Imaginary Part Function: Returns the imaginary part of its complex argument.

 

If the argument is an array, IM returns a real array, the elements of which are equal to the

 

imaginary parts of the corresponding elements of the argument array. If the argument array is real,

 

all of the elements of the result array are zero.

 

Access:

…ßIM

(ßis the right-shift of the 1key).

Flags:

Numerical Results (–3)

 

 

Input/Output:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

Level 1/Item 1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

x

→

0

 

 

 

 

 

 

(x, y)

→

y

 

 

 

 

 

 

[ R-array ]

→

[ R-array ]

 

 

 

 

 

 

[ C-array ]

→

[ R-array ]

 

 

 

 

 

 

'symb'

→

'IM(symb)'

 

C→R, RE,

 

 

 

 

 

 

 

See also:

R→C

 

 

 

 

 

 

 

 

 

 

 

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).

 

 

 

 

 

 

 

 

 

 

 

 

1 1 2

 

 

 

 

 

2 1 3

 

 

 

Example:

Find the image of

 

3 1 4

 

 

 

 

 

 

 

 

Command:

IMAGE([1,1,2] [2,1,3] [3,1,4])

 

Result:

{[1,0,-1] [0,1,2]}

 

 

 

 

See also:

BASIS, KER

 

 

Full Command and Function Reference 3-115