Reference Guide

3-48 Full Command and Function Reference
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
n
columni
n
columnj
→
[[ matrix ]]
2
[ vector ]
1
n
elementi
n
elementj
→
[ vector ]
2
See also: COL+, COL–, RSWP
CURL
Type: Function
Description: Returns the curl of a three-dimensional vector function.
Access: Calculus, !Ö DERIV . & 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
x
2
y
i
˜
x
2
y
j
˜
y
2
z
k
˜
+ + =
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
4
th
roots of 1 are {1, i, -1, -i}, but 1 is the 1
st
root of 1 and –1 is a 2
nd
root of 1, so only i and -i are
left, giving the polynomial (x-i)(x+i) = x
2
+1.
Access: Arithmetic, !Þ POLYNOMIAL
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 ].