Joseph P. MacManus
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Tag: ramsey-theory

  • 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 \(s\).

Post Tags

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

Latest Posts

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.

My Oxford Postgrad Interview: Applying for the MFoCS MSc

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.

A Powerful and Minimalist Annual Budget Template for Google Sheets

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.

A Finitely-Generated Group that is not Finitely Presentable

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.

Post Tags

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
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