Access:

!Ø CREATE COLUMN CSWP

( Ø is the left-shift of the 5key).

 

 

!´MATRIX COL CSWP

( ´is the left-shift of the Pkey).

 

Input/Output:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Level 3/Argument 1 Level 2/Argument 2

Level 1/Argument 3

 

Level 1/Item 1

 

 

 

 

 

 

 

 

 

[[ matrix ]]1

ncolumni

ncolumnj

→

[[ matrix ]]2

 

 

[ vector ]1

nelementi

nelementj

→

[ vector ]2

 

 

 

 

 

 

 

See also:

COL+, COL–, RSWP

 

 

 

 

 

 

 

 

 

 

 

CURL

 

 

 

 

 

 

Type:

Function

 

 

 

 

Description:

Returns the curl of a three-dimensional vector function.

 

 

Access:

Calculus, !ÖDERIV. & INTEG.

 

 

 

 

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:

v= x2yi +x2yj +y2zk

˜˜ ˜

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

CYCLOTOMIC

Type: Function

Description: Returns the cyclotomic polynomial of order n. This is the polynomial whose roots are all the nth roots of 1, except those that are also roots of 1 for smaller values of n. For example, if n is 4, the

4th roots of 1 are {1, i, -1, -i}, but 1 is the 1st root of 1 and –1 is a 2nd root of 1, so only i and -iare left, giving the polynomial (x-i)(x+i) = x2+1.

Access: Arithmetic, !ÞPOLYNOMIAL

Input: A non-negative integer n

Output: The cyclotomic polynomial of order n.

Flags: Exact mode must be set (flag –105 clear). Numeric mode must not be set (flag –3 clear).

Example: Find the 20th cyclotomic polynomial.

Command: CYCLOTOMIC(20)

Result: X^8-X^6+X^4-X^2+1

CYLIN

Type: Command

Description: Cylindrical Mode Command: Sets Cylindrical coordinate mode. CYLIN clears flag –15 and sets flag –16.

In Cylindrical mode, vectors are displayed as polar components. Therefore, a 3D vector would appear as [ R €θ Z ].

3-48 Full Command and Function Reference