Have you ever wanted to create a humorous or entertaining voice like a cartoon character’s voice for a get-well video, a Valentine’s video, the narration for a DVD of home videos, an advertisement for your business or some other application? This article tells how to create cartoon voices using...

The Game of Life is a simple cellular automaton invented by mathematician John Conway. The Game of Life consists of a two dimensional grid of cells. Each cell can be “live” or “dead”, often represented mathematically by 1 and 0. The grid is updated periodically in discrete time steps...

An associative array, also known as a dictionary, map, mapping, or hash table, is a powerful data structure that is built into many modern programming languages such as Python, Perl, Ruby, and many others. An associative array is a form of content addressable memory (CAM). For example, when you see...

Introduction This is the fourth article in an occasional series of articles about Octave, a free open-source numerical programming environment that is mostly compatible with MATLAB.  This series began with the article Octave: An Alternative to the High Cost of MATLAB.  This article discusses plotting and...

This article discusses the scope of mathematical programming projects using the example of several successful open source/free software projects. In the author’s experience, it is common to encounter rather optimistic expectations of the cost, schedule, and risk level of mathematical research and...

Introduction This is the third in a series of articles on Octave starting with Octave, An Alternative to the High Cost of MATLAB. Octave is a free, both free as in beer and free as in speech, MATLAB compatible numerical programming tool available under the GNU General Public License. In part because MATLAB...

Introduction Octave is a free, both free as in beer and free as in speech, MATLAB compatible numerical programming tool available under the GNU General Public License. MATLAB, an abbreviation for “Matrix Laboratory”, is currently the most widely used commercial, proprietary numerical programming tool....

Introduction Octave is a free (both free as in beer and free as in speech) MATLAB compatible numerical programming tool available under the GNU General Public License. MATLAB, an abbreviation for “Matrix Laboratory”, is currently the most widely used commercial, proprietary numerical programming...

Project Euler can be an addictive site for people who are passionate about mathematics and programming. You don’t need to be an expert in either of these two disciplines to participate in it’s challenges, but any such skills you may already possess will be an asset. The author of the site,...

An algorithm is a procedure or formula for solving a problem. For the purposes of this article, a complex algorithm is defined as an algorithm that embodies advanced mathematical or logical methods and requires at least one thousand (1000) lines of the C/C++ programming language to implement. The term C/C++...