In this level-0 post, we figure out how many ways we can organize a gift exchange.

# Category Archives: mathematics

## When is a Pi not a Pi?

In this level-0 post celebrating Pi Day, we are talking all about circles in weird spaces! In particular, when is the ratio of the circumference of a circle to its diameter not equal to 3.14159(etc)? Ceci n’est pas une pi, as they say.

## There’s Something About Gamma

In this level-1 post, we take a closer look at Euler’s generalization of the factorial, and see how it makes sense even when it blows up.

## Root-finding Fractals II

In this level 0 post, we revisit Newton’s method and the fractals it creates, but this time, we focus on generalizations of Newton’s method. This one’s for the people who love to look at fractals.

## Root-finding Fractals

In this level 0 post, we will investigate Newton’s method for finding the roots of a function. Then, we will see how this process can induce chaos and find some fractals hidden inside.

## Crossing the Street – Pt. 3

In this final part to our level 2 mathematical modelling series, we move to a different way of solving our street crossing problem: numerics. We go over discretization of the problem, how to simulate it, and compare with results from part 2.

## Crossing the Street – Pt. 2

In the 2nd part of this level 2 mathematical modelling series, we take a look at what sorts of analytical tools we have to address the problem of how best to cross the street.

## Crossing the Street – Pt. 1

In this level 2 post, we start the process of a 3-part mathematical modelling series, which will culminate in the answer to one of the most important questions of all time: How should I cross the street?

## Calculus, Combinatorics, and Cubes

In this level 0 post, we look at the discrete Fundamental Theorem of Calculus and see an application that brings together combinatorics and sums of cubes (and higher powers)