DIV

Type:

Command

Description:

Returns the divergence of a vector function.

Access:

Calculus, !ÖDERIV. & INTEG.

Input:

Level 2/Argument 1: An array representing a vector function.

 

Level 1/Argument 2: An array containing the variables.

Output:

The divergence 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 divergence of the following vector function:

 

v = x2yi + x2yj + y2zk

Command:

DIV([X^2*Y, X^2*Y, Y^2*Z],[X,Y,Z])

Result:

Y*(2*X)+(X^2+Y^2)

See also:

CURL, HESS

 

 

DIV2

 

Type:

Command

Description:

Performs Euclidean division on two expressions. Step-by-step mode is available with this

 

command.

Access:

Arithmetic, !ÞPOLYNOMIAL

Input:

Level 2/Argument 1: The dividend.

 

Level 1/Argument 2: The divisor.

Output:

Level 2/Item 1: The quotient.

 

Level 1/Item 2: The remainder.

Flags:

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

 

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

 

Step-by-step mode can be set (flag –100 set).

 

Radians mode must be set (flag –17 set).

Example:

Perform the following division:

 

x2 + x + 1

 

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

 

2x + 4

Command:

DIV2(X^2+X+1,2*X+4)

Result:

{1/2(X-1),3}

 

 

DIV2MOD

 

Type:

Command

Description:

Performs Euclidean division on two expressions modulo the current modulus.

Access:

Arithmetic, !ÞMODULO

Input:

Level 2/Argument 1: The dividend.

 

Level 1/Argument 2: The divisor.

Output:

Level 2/Item 1: The quotient.

 

Level 1/Item 2: The remainder.

3-62 Full Command and Function Reference