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TRM Essay Competition 2025 – Group II

The second group of essays from the 2025 TRM Essay Competition, now proudly held in partnership with the Oxford University Department for Continuing Education. The showcase will take place throughout June and July with the winners being announced in August.

If you enjoy reading any of the essays, be sure to leave a comment to let the author know!

Can you draw every flag in Powerpoint?Download
Are Imaginary numbers the only ‘non real’ numbers?Download
An introduction to the harmonic seriesDownload
Cut, Paste, Duplicate: The Bizarre Banach-Tarski ParadoxDownload
Applications Of Mathematical ModellingDownload
The birthday paradox and cryptographyDownload
Chaos in the casino – the math behind shufflingDownload
An introduction to vectorsDownload
The Simplicity of Infinitely ComplexDownload
Basketball KinematicsDownload
Mathematics behind the RSA CryptosystemDownload
Another way to state that there are infinitely many primesDownload
A Mathematical Introduction to Neural Networks in Machine LearningDownload
The Hat, The Proof, and Aperiodic Tilings’ BeautyDownload
Conic Sections and Orbital MechanicsDownload
Chasing Shadows: Odd Perfect NumbersDownload
Chaos Theory in Formula 1 – Modelling the Unpredictability of Wet Weather RacingDownload
Ceaser & Vigenere CyphersDownload
Building a Giant DomeDownload
The Mathematics of CryptographyDownload

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