# 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.

# 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!