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Binomial Coefficients

December 30, 2007

During vacation, I was reading through C. Boyer’s ‘A History of Mathematics.’  I had been introduced to Pascal’s triangle early in probability courses in college and then again during my first computational geometry course.  It was interesting to read about the history of Yang Hui’s work on the arithmetic triangle and publications from the ‘Precious Mirror’ .

For fun, I ported the Pascal’s triangle example from the AS 2 downloads section to AS 3 (not much of a port) and added a binomial coefficient generator to the Singularity.Numeric package.  I’ll use this in future examples dealing with k-th order Bezier curves (and illustration of numerical instability) as the Bernstein polynomials form the basis for these curves.

In the mean time, download the latest version of Singularity here and best wishes for the New Year to everyone!

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