# Post Categories

## Meta

• ### First Post, An Explication

A solemn oath to the reader… An oath I will surely forget and fail to uphold. Take it as you will

## General

• ### First Post, An Explication

A solemn oath to the reader… An oath I will surely forget and fail to uphold. Take it as you will

## Mathematics

• ### Let's Cover The Fundamental Group (pt 1)

Munkres saves the day and explains the fundamental secrets behind the most invariant of groups!

• ### Let's Cover Homotopy (an apologetic revisionary tale)

Munkres will surely save us our trespasses this once, but NEVER AGAIN!

• ### Let's Cover Homology (pt 1)

What does topology have to do with data?! And what is this topology thing anyway?

• ### A dirty little ditty on Finite Automata

A basic yet formal introduction to Finite Automata and how strings act on them.

• ### What's in a language?

The basics of the theory of formal languages

## Probability

• ### Probability -- A Measure Theoretic Approach

We cover probability from a measure theoretic approach

## Statistics

• ### Decomposition of Autoregressive Models

We discuss the decomposition of AR models into components, and how eigenvalues are involved (because they always are).

• ### Markov Chain Monte Carlo

Markov Chain Monte Carlo is a tool for sampling otherwise intractible distributions. In this post, we’ll go through some descriptions, reasoning, and examples therein.

• ### Linear Regression -- The Basics

Linear Regression is the bedrock of Machine Learning. We cover the basics therein, some theory involved, and give some relevant examples.

## Theorem-of-the-day

• ### Let's talk Homotopy and Algebra

Just a little dip into homotopy via the Fundamental Theorem of Algebra