# On factorial function approximation

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

# Decimal expansions and Prime numbers

What do prime numbers have with decimal expansions? When are the decimal expansions infinite? A short proof and overview of intuition.

# 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.

# Thoughts on coffee and yerba mate

Personal ramblings on my favourite brewing methods, blends and additions to the best drinks.

# 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.