# On factorial function approximation

A review of various ways to approximate the factorial function, Gamma function and Digamma function.

# Implementing the Faddeev-LeVerrier algorithm in APL

A multipurpose mathematical beauty demonstrated in APL.

# 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?

# Implementing Taylor Series in APL

A short explanation behind my implementation of the Taylor Series in APL.

# SK(I) calculus reduction in asm2bf - Part 1

Writing and optimising a SK calculus reductor in asm2bf.

# Reimplementing GNU yes using asm2bf

How to optimise asm2bf code? What optimisations techniques apply to brainfuck? Let’s think about it in the context of a simple UNIX utility.

# Explanation of my Code Guessing entry (round 6)

An analysis of my code guessing round 6 entry.

# Matrix Rearrangements - solving a problem with APL.

Given a NxM matrix, one can pick a single element from each row so that the cost of this operation is the smallest. The cost is defined as the sum of every other element left in a row. For each column containing nonzero elements, an element must be picked so that every other element besides the chosen one must originate from different rows. What is the lowest cost for a given matrix?

# Non-alphanumeric C code - a lab notebook

Is it possible to program in C without alphanumeric characters? Is such a subset of C turing-complete? Finally, can we mechanically translate C code to non-alphanumeric C code? Let’s find out!

# Domain eXtensions for Dyalog APL

Overview of a rewrite of my Domain eXtensions APL library, alongside some RIDE patches.