By Assad Ebrahim and Carol Ouellette, on April 2nd, 2010 (6,522 views)
Topic: Mathematics, Technical
By Assad Ebrahim, on February 25th, 2010 (30,303 views)
Topic: Mathematics, Technical
Updated! February 5, 2017
The value of zero raised to the zero power, , has been discussed since the time of Euler in the 18th century (1700s). There are three reasonable choices: 1,0, or “indeterminate”. Despite consensus amongst mathematicians that the correct answer is one, computing platforms seem to have reached a variety of conclusions: Google, R, Octave, Ruby, and Microsoft Calculator choose 1; Hexelon Max and TI36 calculator choose 0; and Maxima and Excel throw an error (indeterminate). In this article, I’ll explain why, for discrete mathematics, the correct answer cannot be anything other than 0^0=1, for reasons that go beyond consistency with the Binomial Theorem (Knuth’s argument).
Continue reading this article…
By Assad Ebrahim, on February 22nd, 2010 (40,382 views)
Topic: Toolkit
Maxima is a symbolic computation platform that is free, open source, runs on Windows, Linux, and Mac, and covers a wide range of mathematical functions, including 2D/3D plotting and animation. Capabilities include algebraic simplification, polynomials, methods from calculus, matrix equations, differential equations, number theory, combinatorics, hypergeometric functions, tensors, gravitational physics, PDEs, nonlinear systems. With an active developer base and responsive community, a user gets a secure future lifecycle of the product and plenty of help when dealing with problems. The result: an essential mathematical computing package for students, programmers, engineers, scientists, and mathematicians. This article will help you get started with Maxima.
Continue reading this article…
By Assad Ebrahim, on February 8th, 2010 (13,805 views)
Topic: Technical
By Assad Ebrahim, on February 8th, 2010 (23,213 views)
Topic: Technical
Abstract
This paper uses recurrence relations to find a closed form solution to the sumofpowers problem for any given integer . We use Maxima, a free symbolic computation package, to crunch through messy algebraic expressions and reach a simplified closed form. A solution to the general case (arbitrary ) is developed in Part 2. A matrix alternative to the general case solution is given in Part 3. Source code is provided for all solutions.
Continue reading this article…
By Assad Ebrahim, on January 31st, 2010 (4,486 views)
Topic: Education, Phenomenology
Good mathematical technique can bring the solution to certain mathematical questions within reach. By a proper formulation (one that is both tractable and that generalizes readily) and the use of mechanical techniques, one can often pass from a single insight to the solution of a family of problems, and in some cases, to the solution of the general question itself. … Good mathematical technique has built within it the mathematical insight of the best of previous generations.
Continue reading this article…

Reading List… MathematicsApplications
MathematicsTechnical
MathematicsPhenomenology
Mathematics Education
Advanced Technology
Programming / Software Engineering

2,113 feed subscribers
