The Power of Invariants We can find invariants in many branches of mathematics. Let us try to use the theory of invariants to solve a few popular brainteasers.
Principal Component Analysis: The Basics of Dimensionality Reduction In the era of big data, we frequently find ourselves manipulating high-dimensional data, whether it be image data (where the number of…
A Theorem of Erdős and Szekeres A Theorem by two mathematical greats, which anybody, no maths experience required, can understand! An amazing, and beautiful, result…
A Combinatorial Curiosity A beginner’s guide to combinatorics, and using it to solve a rather tricky question.
The Fibonacci Sequence and The Powers of Two On two of the most popular and well-known patterns by humans and nature
A Brief Overview of Candidate Theories Of Everything Microscopic strings, looped space, and eight dimensional spheres