Genius Manual

Jiří Lebl

University of Illinois, Urbana-Champaign

<jirka@5z.com>

Kai Willadsen

University of Queensland, Australia

<kaiw@itee.uq.edu.au>

Copyright © 1997-2011 Jiří (George) Lebl

Copyright © 2004 Kai Willadsen

This manual describes version 1.0.13 of Genius.

Table of Contents

Introduction

Getting Started

To Start Genius Mathematics Tool
When You Start Genius

Basic Usage

Using the Work Area
To Create a New Program
To Open and Run a Program

Line Plots
Parametric Plots
Slopefield Plots
Vectorfield Plots
Surface Plots

Numbers
Booleans
Strings
Null

Using Variables

Setting Variables
Built-in Variables
Previous Result Variable

Using Functions

Defining Functions
Variable Argument Lists
Passing Functions to Functions
Operations on Functions

Absolute Value / Modulus

Modular Evaluation

List of GEL Operators

Programming with GEL

Conditionals

While Loops
For Loops
Foreach Loops
Break and Continue

Sums and Products

Comparison Operators

Global Variables and Scope of Variables

Parameter variables

Advanced Programming with GEL

Error Handling
Toplevel Syntax
Returning Functions
True Local Variables
GEL Startup Procedure
Loading Programs

Matrices in GEL

Entering Matrices
Conjugate Transpose and Transpose Operator
Linear Algebra

Polynomials in GEL

Using Polynomials

Set Theory in GEL

Using Sets

List of GEL functions

Commands
Basic
Parameters
Constants
Numeric
Trigonometry
Number Theory
Matrix Manipulation
Linear Algebra
Combinatorics
Calculus
Functions
Equation Solving
Statistics
Polynomials
Set Theory
Miscellaneous
Symbolic Operations
Plotting

Example Programs in GEL

Output
Precision
Terminal
Memory

About Genius Mathematics Tool

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