jcram: a principled approach to code golf.
Can a simple and principled data compressor find its place in the world of emerging, purpose-built code-golf languages?
Triangulation of convex polygons
Musings on triangulation techniques for convex polygons.
An alternative derivation of Shannon entropy.
An alternative, easy to follow derivation of Shannon entropy.
Rice and Rice-Shapiro theorems.
A brief introduction to my favourite theorems in computability theory.
The link between Fibonacci numbers and primes
A collection of curiosities concerning Fibonacci numbers, primes and relations between them.
The nested means problem.
How to solve a mathematics problem using the supercharged powers of APL?
Accelerating the computation of infinite sums of rational functions.
An easy method to accelerate the computation of infinite sums of rational functions using the digamma function and other numerical methods.
Finding roots of a polynomial - numerical methods in APL
We all know the Newton-Raphson method for approximating the zero of a real-valued function, but how do we approach the problem of finding all real and complex roots of a polynomial?