# math

###### A power modulo n

I describe how integer powers behave in modular arithmetic exploring congruence, repetition and related theorems.

###### Rope a ball

I find a really simple and secure way to attach a rope around a ball.

###### Rope around the world

A little extra rope goes a long way to overcoming large obstacles.

###### Simplex

I figure an algorithm for calculating simplex coordinates

###### Permutations

What is a permutation? How do I loop through permutations? How many generators are required for the symmetric group?

###### Pivotable cubelet

I reinvent how to play with blocks

###### Greatest common divisor

I talk about the greatest common divisor and provide a calculator to show

###### Energy matters

I layout some admirable equations for physics of relativity.

###### Motorcycle steering geometry

I calculate the basic vector relationships of motorcycle steering

###### Borel distribution

Calculus tests how much work my imagined busy worker will do before his next break.

###### Deriving the Borel distribution

Poisson queue explodes under benchmark development. Tests were too realistic to accept on its face. Deriving probabilities takes time from my mental queue!

###### Full workload + random = boom

When free, a worker waits for a task to arrive in the queue...

###### Coprime stars

Making stars explode — I recursively find order to the list of all rational numbers.