HP 48GII User Manual

3-136 Full Command and Function Reference
qr factors an n × n matrix A into two matrices:
• Q is an n× m orthogonal matrix.
• R is an n × n triangular matrix.
Where A = Q × R.
Access: !Ø
FACTORIZATION qr (Ø is the left-shift of the 5key).
Input/Output:
Level 1/Argument 1 Level 2/Item 1 Level 1/Item 2
[[ matrix ]]
A
→
[[ matrix ]]
Q
[[ matrix ]]
R
See also: LQ, LSQ
QR
Type: Command
Description: QR Factorization of a Matrix Command: Returns the QR factorization of an m × n matrix.
QR factors an m × n matrix A into three matrices:
• Q is an m × m orthogonal matrix.
• R is an m × n upper trapezoidal matrix.
• P is a n × n permutation matrix.
Where A × P = Q × R.
Access: !Ø
FACTORIZATION QR ( Ø is the left-shift of the 5key).
!´
MATRIX FACTORS QR ( ´ is the left-shift of the Pkey).
Input/Output:
Level 1/Argument 1 Level 3/Item 1 Level 2/Item 2 Level 1/Item 3
[[ matrix ]]
A
→
[[ matrix ]]
Q
[[ matrix ]]
R
[[ matrix ]]
P
See also: LQ, LSQ
QUAD
Type: Command
Description: Solve Quadratic Equation Command: This command is identical to the computer algebra
command SOLVE, and is included for backward compatibility with the HP 48G.
Access: …µ
QUAD
Flags: Principal Solution (-1)
Input/Output:
Level 2/Argument 1 Level 1/Argument 2 Level 1/Item 1
'symb
1
' 'global'
→
'symb
2
'
See also: COLCT, EXPAN, ISOL, SHOW, SOLVE
QUOT
CAS: Return the quotient part of the Euclidean division of two polynomials.
QUOTE
Type: Function
Description: Quote Argument Function: Returns its argument unevaluated.
When an algebraic expression is evaluated, the arguments to a function in the expression are
evaluated before the function. For example, when SIN(X) is evaluated, the name X is evaluated
first, and the result is placed on the stack as the argument for SIN.
This process creates a problem for functions that require symbolic arguments. For example, the
integration function requires as one of its arguments a name specifying the variable of

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.