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).

 

x3 + 4

 

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Example:

Find the result of x2 – 1 , modulo 3.

Command:

DIV2MOD(X^3+4,X^2-1)

Result:

{X X+1}

 

 

DIVIS

 

Type:

Command

Description:

Returns a list of divisors of a polynomial or an integer.

Access:

Arithmetic, !Þor PARITH

Input:

A polynomial or an integer.

Output:

A list containing the expressions or integers that exactly divide into the input.

Flags:

Exact mode must be set (flag –105 clear).

 

Numeric mode must not be set (flag –3 clear).

Example:

Find the divisors of the following polynomial:

 

x2 + 3x + 2

Command:

DIVIS(X^2+3*X+2)

Result:

{1,X+1,X+2,X^2+3*X+2}

See also:

DIV2

 

 

DIVMOD

 

Type:

Function

Description:

Divides two expressions modulo the current modulus.

Access:

Arithmetic, !ÞMODULO

Input:

Level 2/Argument 1: The dividend.

 

Level 1/Argument 2: The divisor.

Output:

The quotient of the terms modulo the current modulus.

Flags:

Exact mode must be set (flag –105 clear).

 

Numeric mode must not be set (flag –3 clear).

Example:

Modulo 3, divide 5x2+4x+2 by x2+1.

Command:

DIVMOD(5*X^2+4*X+2,X^2+1)

Result:

-((X^2-X+1)/X^2+1))

 

 

DIVPC

 

Type:

Command

Description:

Returns a Taylor polynomial for the quotient of two polynomial expressions.

Access:

Calculus, !ÖLIMITS & SERIES

Input:

Level 3/Argument 1: The numerator expression.

 

Level 2/Argument 2: The denominator expression.

 

Level 1/Argument 3: The degree of the Taylor polynomial.

Output:

The Taylor polynomial at x = 0 of the quotient of the two expressions, to the specified degree.

 

Full Command and Function Reference 3-63