Reference Guide

3-150 Full Command and Function Reference
Example 2: Find the matrix for a rotation with axis [1 1 1] and angle π/3 radians combined with a reflection in
the plane x + y + z = 0
Command: MKISOM({ [1, 1, 1], π /3}, -1) then simplify with EXPAND(ANS(1))
Result:
0 1– 0
0 0 1–
1– 0 0
See also: ISOM
MOD
Type: Function
Description: Modulo Function: Returns a remainder defined by: x mod y = x – y floor (x/y)
Mod (x, y) is periodic in x with period y. Mod (x, y) lies in the interval [0, y) for y > 0 and in (y, 0]
for y < 0.
Algebraic syntax: argument 1 MOD argument 2
Access: !´ REAL MOD ( ´ is the left-shift of the Pkey).
!Þ MODUL L MOD ( Þ is the left-shift of the 1key).
Flags: Numerical Results (–3)
Input/Output:
Level 2/Argument 1 Level 1/Argument 2 Level 1/Item 1
x y
→
x mod y
x 'symb'
→
'MOD(x, symb)'
'symb' x
→
'MOD(symb, x)'
'symb
1
' 'symb
2
'
→
'MOD(symb
1
, symb
2
)'
See also: FLOOR, /
MODSTO
Type: Command
Description: Changes the modulo setting to the specified number. The number that you set is reflected in the
CAS Modes input form. Negative numbers are replaced by their positive value, 0 and 1 are
replaced by 2.
Access: Arithmetic, !Þ MODULO L
Input: The modulo value that you want to set, an integer or an expression that evaluates to an integer.
Output: The modulo setting is changed to the specified number. In Algebraic mode, NOVAL is returned
as argument 1.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
MODULAR
Type: Command
Description: Displays a menu or list of the CAS modulo operations.
Access: Catalog, …µ
Flags: If the CHOOSE boxes flag is clear (flag –117 clear), displays the operations as a numbered list. If
the flag is set, displays the operations as a menu of function keys.
See also: ALGB, ARIT, CONSTANTS, DIFF, EXP&LN, INTEGER, MAIN, MATHS, MATR,
POLYNOMIAL, REWRITE, TESTS, TRIGO