## Sticky Post – Read this first. Categories and Links in Mathemafrica

The navigability of Mathemafrica isn't ideal, so I have created this post which might guide you to what you are looking for. Here are a number of different categories of post which you might like to take a look at: First year mathematics notes and resources (particularly for the University [...]

## System Of Reasoning (S1E01): The Rules.

The Pilot. This is an episode in a series on mathematical logic approached with some rigour. Here, we will be closely following the book by Peter B. Andrews: An Introduction To Mathematical Logic and Type Theory. In this episode, we will: Part 1 Learn about well-formed formulas. Show the equivalence of [...]

## Correlation vs Mutual Information

This post is based on a (very small) part of the (dense and technical) paper Fooled by Correlation by N.N. Taleb, found at (1) Notes on the main ideas in this post are available from Universidad de Cantabria, found at (2) The aims of this post are to 1) introduce mutual [...]

## The Res-Net-NODE Narrative

This is second post in the blog series, and it is meant to give a broad narrative of the content for next two blog posts. Like the previous post, it will be more of an overview, but the two posts that will follow it will unpack and discuss deeply whatever [...]

## Deep Q Learning, Briefly!

This blog post is a direct translation of a talk that was given by the author on the 17th of February 2020. The ideas was to very briefly introduce Deep Q-Learning to an audience that was familiar with the fundamental concepts of reinforcement learning. If the person reading this is [...]

## Curves for the Mathematically Curious – an anthology of the unpredictable, historical, beautiful and romantic, by Julian Havil – a review

NB I was sent this book as a review copy. From Princeton University Press. What a beautiful idea. What a beautiful book! In studying mathematics, one comes across various different curves while studying calculus, or number theory, or geometry in various forms and they are asides of the [...]

## The Objective Function

In both Supervised and Unsupervised machine learning, most algorithms are centered around minimising (or, equivalently) maximising some objective function. This function is supposed to somehow represent what the model knows/can get right. Normally, as one would expect, the objective function does not always reflect exactly what we want. The objective [...]

## Tales of Impossibility – The 2000 year quest to solve the mathematical problems of antiquity, by David S. Richeson – a review

NB I was sent this book as a review copy. From Princeton University Press. Four impossible puzzles, all described in detail during the height of classical Greek Mathematics. All simple to define and yet so tempting that it has taken not only the brain power of many, many thousands [...]

## Simpson’s Paradox

Introduction A key consideration when analysing stratified data is how the behaviour of each category differs and how these differences might influence the overall observations about the data. For example, a data set might be split into one large category that dictates the overall behaviour or there may be a [...]

## What is mathematics?

Below you find some thoughts on this wide question, I encourage you to think about. What is your vision of mathematics? It will be most probably the result of your own experience with the subject, traumas that happened along the way and realizing that, could make you more conscious about [...]

## Reasoning and making sense: a pillar of mathematics?

An essential part of learning mathematics is about reasoning and making sense. What does this exactly mean? When a student is given a problem, he needs to make sense of it, from his level of perceptive which is unique to each individual. This will come with big struggle, and the [...]