Reference Guide

3-34 Full Command and Function Reference
Input/Output:
Level 2/Argument 1 Level 1/Argument 2 Level 1/Item 1
x y
→
100(y – x)/x
x 'symb'
→
'%CH(x,symb)'
'symb' x
→
'%CH(symb,x)'
'symb
1
' 'symb
2
'
→
'%CH(symb
1
, symb
2
)'
x_unit y_unit
→
100(y_unit – x_unit)/x_unit
x_unit 'symb'
→
'%CH(x_unit,symb)'
'symb' x_unit
→
'%CH(symb,x_unit)'
Example 1: 1_m 500_cm %CH returns 400 , because 500 cm represents an increase of 400% over 1 m.
Example 2: 100_K 150_K %CH returns 50 .
See also: %, %T
CHINREM
Type: Command
Description: Chinese Remainder function. Solves a system of simultaneous polynomial congruences in the
ring Z[x].
Access: Arithmetic, !Þ POLYNOMIAL
Input: Level 2/Argument 1: A vector of the first congruence (expression and modulus).
Level 1/Argument 2: A vector of the second congruence (expression and modulus).
Output: A vector of the solution congruence (expression and modulus).
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: Solve the following simultaneous congruences for the polynomial u:
u x
2
1+≡
(mod x+2)
u
x
1
–
≡
(mod x+3)
Command: CHINREM([X^2+1,X+2],[X-1,X+3])
Result: [X^3+2*X^2+5,-(X^2+5*X+6)]
See also: EGCD, ICHINREM
CHOLESKY
Type: Command
Description: Returns the Cholesky factorization of a square matrix.
Access: Matrices, !Ø QUADRATIC FORM
Input: A positive square matrix, M
Output: An upper triangular matrix, P, such that
t
P*P=M. (
t
P is the transpose of P.)
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).