A practical walkthrough of building and training a binary classification neural network from scratch with NumPy.

Reflections and photographs from the LMS Undergraduate Summer School at the University of Sheffield.

An exploration of Conway's look-and-say sequence, its long-term behaviour, and the algebraic structure behind it.

An introduction to the Lovász Local Lemma and its use in avoiding dependent bad events with positive probability.

An exploration of the probabilistic method through graph splitting, stable sets, bipartite graphs, and hypergraph colouring.

A step-by-step derivation of the logistic regression cost function and its gradient.