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The Zeroth of March

Keywords: #meta #fun
An example of how generalisation is cool.

A Tiny Discount Calculation

Keywords: #fun #calculation

Lessons from applying for PhD positions

Keywords: #phd #explain
Some advice I would give my past self

Spectral Methods for Hyperbolic Problems

Keywords: #calculation #explain
The paper Spectral Methods for Hyperbolic Problems by Gottlieb and Hesthaven highlights some methods to address the disadvantages of spectral methods when applied to hyperbolic problems. This end-semester project reproduces the results by implementing those techniques, and also tries to explain their working. Although the discussion sticks to Fourier expansions, the techniques apply to general spectral methods.

Lean Into Lean

Keywords: #computing #lean #explain

I had been trying to get into Lean. It’s an interactive theorem prover, and I’ve been curious about it since I first heard about it during a talk by Kevin Buzzard himself.

We were fortunate to have an in-person workshop about Lean recently and I have some notes! Let the lack of organisation and detail be a reflection of how little experience and knowledge I have of Lean. Be sure to keep that in mind while reading.

Free Product of Z3\mathbb Z_3 and Z4\mathbb Z_4

Keywords: #group theory
I was recently tasked to draw the Cayley diagram of the free product of Z3\Z_3 and Z4\Z_4. It looks quite nice and interesting, so why not put it up here?