HP 48GII User Manual

4-30 Computer Algebra Commands
EXPANDMOD
Type: Function
Description: Expands and simplifies an algebraic expression, or an array of expressions, modulo the
current modulus.
Access: !Þ
MODULO
Input: An expression, or an array of expressions.
Output: The expanded and simplified expression, or array of expressions, modulo the current
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: Expand the following expression and give the result modulo 3:
x
3+()
x
4+()
Command: EXPANDMOD((X+3)*(X+4))
Result: X^2+X
EXPLN
Type: Command
Description: Transforms the trigonometric terms in an expression to exponential and logarithmic terms.
Access: !Ð or Convert, !Ú REWRITE or PLEXP & LN
Input: An expression
Output: The transformed expression.
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).
Complex mode must be set (flag –103 set).
Example: Transform the following expression and simplify the result using the EXPAND command:
2 x
2
()cos
Command:
EXPLN(2*COS(X^2))
EXPAND(ANS(1))
Result: (EXP(i*X^2)^2+1)/EXP(i*X^2)
See also: SINCOS
FACTOR
Type: Command
Description: Factorizes a polynomial or an integer:
• The function expresses a polynomial as the product of irreducible polynomials.
• The function expresses an integer as the product of prime numbers.
Access: Algebra, …×or P
ALG or !ÞPOLY
Input: An expression or an integer.
Output: The factorized expression, or the integer expressed as the product of prime numbers.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag -3 clear).
Results including complex terms are returned if complex mode is set (flag –103 set).

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.