HP 48GII User Manual

3-80 Full Command and Function Reference
i
Type: Function
Description: i Function: Returns the symbolic constant i or its numerical representation, (0, 1).
Access: !¥
(¥is the left-shift of the Ikey).
Flags: Symbolic Constants (–2), Numerical Results (–3)
Input/Output:
Level 1/Argument 1 Level 1/Item 1
→
'i'
→
(0,1)
See also: e, MAXR, MINR, π
IABCUV
CAS: Return a solution in integers u and v of au + bv = c, where a, b, and c are integers.
IBASIS
CAS: Determine the basis of the intersection between two vector spaces.
IBERNOULLI
CAS: Return the nth Bernoulli number for a given integer n.
IBP
CAS: Integration by parts of a product of two functions, given the antiderivative of one function.
ICHINREM
CAS: Solve a system of two congruences in integers using the Chinese Remainder theorem.
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).
• If the argument is a name, the name must identify a variable containing a square matrix. In
this case, the elements of the matrix are replaced by those of the identity matrix (complex if
the original matrix is complex).
Access: !Ø
CREATE IDN ( Ø is the left-shift of the 5key).
!´
MATRIX MAKE IDN ( ´ is the left-shift of the Pkey).
Input/Output:
Level 1/Argument 1 Level 1/Item 1
n
→
[[ R-matrix
identity
]]
[[ matrix ]]
→
[[ matrix
identity
]]
'name'
→
[[ matrix
identity
]]

HP 48GII Specifications

General

Battery type	CR2032
Type	Scientific
Form factor	Pocket

Weight and Dimensions

Weight	220 g
Dimensions (WxDxH)	184 x 87 x 23.5 mm

Summary

RPL Programming

Understanding Programs

Programs as objects, delimiters, and basic structure.

Entering and Executing Programs

Details on how to create, store, and run programs.

Using Conditional Structures

Covers IF, CASE, IFT, IFTE structures for program decision-making.

Input and Output Commands

Details commands like PROMPT, INPUT, INFORM, CHOOSE for user interaction.

RPL Programming Examples

Fibonacci Numbers

Demonstrates recursive and loop-based Fibonacci calculations.

Minimum and Maximum Array Elements

Details finding min/max elements using MNX and MNX2.

Applying a Program to an Array

Explains the APLY command for transforming array elements.

Full Command and Function Reference

How to Access Commands and Functions

Explains key presses and menu paths to access commands.

ABS (Absolute Value)

Details the absolute value function and its array behavior.

ACOS (Arc Cosine)

Explains the inverse cosine function, domain, and range.

Computer Algebra Commands

CAS Operations

Overview of CAS operations and their categorization by menu.

Algebra commands

Lists and describes commands for algebraic manipulation.

Calculus Commands

Covers derivation, integration, and limit commands.

Equation Reference

Columns and Beams (1)

Provides equations for structural mechanics.

Electricity (2)

Lists equations related to electrical circuits and laws.

Fluids (3)

Covers equations for fluid mechanics.

The Development Library

Introduction

Explains the purpose and usage of the development library.

Tools for Development

Details APEEK, PEEK, POKE, POKEARM commands.

MASD Compiler

Discusses syntax, modes, and directives for MASD.

Error and Status Messages

Messages Listed Alphabetically

Alphabetical list of error messages.

Messages Listed Numerically

Numerical list of error messages by hex code.

System Flags

System Flags (continued)

Description of various system flags.

System Flags (continued)

Continuation of system flags description.

Reserved Variables

Contents of the Reserved Variables

Explanation of key reserved variables.

PPAR

Details plotting parameters.

Technical Reference

Object Sizes

Lists object sizes in bytes.

Symbolic Integration Patterns

Provides a table of symbolic integration patterns.

Parallel Processing With Lists

General rules for parallel processing

Explains conditions for parallel list processing.

Group 4: ADD and +

Describes how ADD and + handle parallel list operations.

Keyboard Shortcuts

Press and Hold key combinations

Lists functions performed by key combinations.

Shifted softkeys

Explains shift key effects on menu labels.

The Menu-Number Table

-- menus 0-117 are semi-compatible with 48G menus --

Menu numbers and paths for built-in menus.

-- New Library 222 commands --

Details commands available in Library 222.