# math

## Letter Boxed: an introduction

Earlier this year, the New York Times introduced a new word game called Letter Boxed. The game consists of a square with 12 letters evenly spaced around the edges, e.g.: The goal is to make valid words of three letters…

## Exact square roots (continued)

Last week, I introduced a data structure kata involving exact square roots. At the time of that writing, I had implemented a RootTerm struct which could represent real and imaginary square roots. Today we’ll pick up where we left off…

## Data structure kata: exact square roots

Many programming courses introduce the concept of data structures with complex numbers as a motivating

As a child, I was fascinated by large numbers. I recall being unbelievably excited when my dad gave me a clipping of a newspaper trivia column which listed the names of numbers from a million up to decillion. While most…

## More four fours

Astute readers may have noticed in my previous post about the four fours that I neglected to include exponents in the set of supported mathematical operations. Well, that is fixed now. Perhaps these imagined readers also noticed that my recursive…

## Four fours

Back in elementary school, I became aware of the four fours puzzle. It is a seemingly simple mathematical exercise where you must generate all the integers from 1 to 100 using arithmetic expressions and the digit 4 exactly four times.…

## Distributed systems math: availability

Who doesn’t like math? (Rhetorical question, do not answer.) Today we’ll look at some simple math calculations which can help you approximate the overall availability of a distributed system. This model will assume a quorum-based protocol where a simple majority…