Tag: maths

Measuring Angles within Arbitrary Metric Spaces
First published October 02, 2020

We will generalise the concept of angles in Euclidean space to any arbitrary metric space, via Alexandrov (upper) angles.
Hilbert's Hotel, but the Guests are Mere Mortals
First published July 26, 2020

We will consider a variation of Hilbert’s hotel, within which guests may not be relocated too far from their current room.
An Upper Bound on Ramsey Numbers (Revision Season)
First published May 02, 2019

I will present a short argument on an upper bound for \( r(s) \), the Ramsey Number associated with the natural number \(s\).
Counting Derangements
First published April 21, 2019

I present an inefficient yet novel way of recursively counting derangements of a set, and generalise this to counting permutations without short cycles.

Latest Posts

First published October 02, 2020

We will generalise the concept of angles in Euclidean space to any arbitrary metric space, via Alexandrov (upper) angles.

First published July 26, 2020

We will consider a variation of Hilbert’s hotel, within which guests may not be relocated too far from their current room.

First published June 21, 2020

Here I will summarise my experiences in applying for the Oxford MFoCS, including some tips on how I made my application as competitive as possible.

First published June 06, 2020

I am making publically available a template of my own annual budget spreadsheet, which tracks one’s spending on a weekly basis.

First published November 06, 2019

In this post we will work towards an example of a finitely generated group that cannot be expressed by any finite presentation.

maths combinatorics recursion web-design turing-machines spreadsheets revision ramsey-theory ramsey-numbers quantum-computation modular-machines metric-geometry linear-algebra jekyll group-theory formula finances education design derangements computability automata algorithm-theory algebra admissions