Reference Guide

3-110 Full Command and Function Reference
x
2
≡
x
1
≡
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: Use integration by parts to calculate the following:
x x
(
)
cos xd
∫
Command 1: Apply the IBP command in RPN mode:
Level 2: X*COS(X)
Level 1: SIN(X)
Result: Level 2: SIN(X)*X
Level 1: -SIN(X)
Command 2: Apply the INTVX command to level 1, -SIN(X)
Result: Level 2: SIN(X)*X
Level 1: COS(X)
Command 3: Press + to add the result to the value at level 2 to obtain the final result.
Result: SIN(X)*(X)+COS(X)
See also: INTVX, INT, PREVAL, RISCH
ICHINREM
Type: Command
Description: Solves a system of two congruences in integers using the Chinese Remainder theorem.
Access: Arithmetic, !Þ INTEGER
Input: Level 2/Argument 1: A vector of the first value and the modulus.
Level 1/Argument 2: A vector of the second value and the modulus.
Output: A vector of the solution.
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 system of congruences:
Modulo 3
Modulo 5
Command: ICHINREM([2,3],[1,5])
Results: [-4, 15]
See also: CHINREM
IDN
Type: Command
Description: Identity Matrix Command: Returns an identity matrix; that is, a square matrix with its diagonal
elements equal to 1 and its off-diagonal elements equal to 0.
The result is either a new square matrix, or an existing square matrix with its elements replaced by
the elements of the identity matrix, according to the argument.
• Creating a new matrix: If the argument is a real number n, a new real identity matrix is returned,
with its number of rows and number of columns equal to n.
• Replacing the elements of an existing matrix: If the argument is a square matrix, an identity
matrix of the same dimensions is returned. If the original matrix is complex, the resulting
identity matrix will also be complex, with diagonal values (1,0).