By Assad Ebrahim, on May 21st, 2014 (1,802 views)
Topic: General Interest
Duelling with pistols. If you were the one issuing the challenge, your dilemma was that custom dictated that your adversary be allowed to shoot first. Only then, if you were still able to shoot, would you be permitted to seek “satisfaction”.
How much of an advantage does the first shooter really have? In this article, we build a simple probability model, and implement a numerical model in a few lines of R code.
Two gentleman face off in the snow. Convention dictates the challenged shoots first.
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By Assad Ebrahim and Carol Ouellette, on April 2nd, 2010 (5,975 views)
Topic: Mathematics, Technical
By Assad Ebrahim, on February 8th, 2010 (13,292 views)
Topic: Technical
By Assad Ebrahim, on February 8th, 2010 (21,759 views)
Topic: Technical
(Discrete Mathematics Techniques I)
Abstract
We motivate an approach that uses recurrence relations to find closed form solutions to the finitesummationofintegerpowers problem for any individual . The approach is illustrated for small : . Maxima, an opensource (free) software package, is used to demonstrate how a symbolic computation platform can speed up the accurate derivation of messy algebraic expressions.
A recurrence solution to the general case (arbitrary ) is developed in Part 2 along with Maxima source code. A direct (noniterative) matrix method for solving the general case is given in Part 3 along with Maxima and Octave/Matlab source code.
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By Assad Ebrahim, on February 3rd, 2010 (3,881 views)
Topic: Toolkit
…For industry or research.
Over the coming months, I’ll be posting articles as part of a series on setting up a toolset for Mathematics work in industry or research.
I’ll be emphasizing open source software. Though the primary target is the Windows PC platform (dominant in industry), I will list alternatives for Linux/Unix.
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By Assad Ebrahim, on January 31st, 2010 (4,193 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.
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Reading List… MathematicsApplications
MathematicsTechnical
MathematicsPhenomenology
Mathematics Education
Advanced Technology
Programming / Software Engineering

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