HP 50g Graphing, 48gII Graphing manual Ichinrem, Idn, Results See also, Chinrem

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:

∫xcos (x)dx

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, !ÞINTEGER
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:
		x ≡ 2	Modulo 3
		x ≡ 1	Modulo 5
Command:	ICHINREM([2,3],[1,5])
Results:	[-4, 15]
See also:	CHINREM
IDN	Command
Type:
Description:	Identity Matrix Command: Returns an identity matrix; that is, a square matrix with its diagonal
	elements equal to 1 and its offdiagonal elements e qual 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).

3110 Full Command and Function Reference