Genius Manual

Jiří Lebl

Oklahoma State University

Kai Willadsen

University of Queensland, Australia

This manual describes version 1.0.27 of Genius.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License (GFDL), Version 1.1 or any later version published by the Free Software Foundation with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. You can find a copy of the GFDL at this link or in the file COPYING-DOCS distributed with this manual.

This manual is part of a collection of GNOME manuals distributed under the GFDL. If you want to distribute this manual separately from the collection, you can do so by adding a copy of the license to the manual, as described in section 6 of the license.

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DOCUMENT AND MODIFIED VERSIONS OF THE DOCUMENT ARE PROVIDED UNDER THE TERMS OF THE GNU FREE DOCUMENTATION LICENSE WITH THE FURTHER UNDERSTANDING THAT:

  1. DOCUMENT IS PROVIDED ON AN "AS IS" BASIS, WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, WITHOUT LIMITATION, WARRANTIES THAT THE DOCUMENT OR MODIFIED VERSION OF THE DOCUMENT IS FREE OF DEFECTS MERCHANTABLE, FIT FOR A PARTICULAR PURPOSE OR NON-INFRINGING. THE ENTIRE RISK AS TO THE QUALITY, ACCURACY, AND PERFORMANCE OF THE DOCUMENT OR MODIFIED VERSION OF THE DOCUMENT IS WITH YOU. SHOULD ANY DOCUMENT OR MODIFIED VERSION PROVE DEFECTIVE IN ANY RESPECT, YOU (NOT THE INITIAL WRITER, AUTHOR OR ANY CONTRIBUTOR) ASSUME THE COST OF ANY NECESSARY SERVICING, REPAIR OR CORRECTION. THIS DISCLAIMER OF WARRANTY CONSTITUTES AN ESSENTIAL PART OF THIS LICENSE. NO USE OF ANY DOCUMENT OR MODIFIED VERSION OF THE DOCUMENT IS AUTHORIZED HEREUNDER EXCEPT UNDER THIS DISCLAIMER; AND

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Feedback

To report a bug or make a suggestion regarding the Genius Mathematics Tool application or this manual, please visit the Genius Web page or email me at .

Revision History
Revision 0.2October 2021

Jiri (George) Lebl

Abstract

Manual for the Genius Math Tool.


Table of Contents

1. Introduction
2. Getting Started
To Start Genius Mathematics Tool
When You Start Genius
3. Basic Usage
Using the Work Area
To Create a New Program
To Open and Run a Program
4. Plotting
Line Plots
Parametric Plots
Slopefield Plots
Vectorfield Plots
Surface Plots
5. GEL Basics
Values
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
Separator
Comments
Modular Evaluation
List of GEL Operators
6. Programming with GEL
Conditionals
Loops
While Loops
For Loops
Foreach Loops
Break and Continue
Sums and Products
Comparison Operators
Global Variables and Scope of Variables
Parameter variables
Returning
References
Lvalues
7. Advanced Programming with GEL
Error Handling
Toplevel Syntax
Returning Functions
True Local Variables
GEL Startup Procedure
Loading Programs
8. Matrices in GEL
Entering Matrices
Conjugate Transpose and Transpose Operator
Linear Algebra
9. Polynomials in GEL
Using Polynomials
10. Set Theory in GEL
Using Sets
11. 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
Commutative Algebra
Miscellaneous
Symbolic Operations
Plotting
12. Example Programs in GEL
13. Settings
Output
Precision
Terminal
Memory
14. About Genius Mathematics Tool

List of Figures

2.1. Genius Mathematics Tool Window
4.1. Create Plot Window
4.2. Plot Window
4.3. Parametric Plot Tab
4.4. Parametric Plot
4.5. Surface Plot