I got my MSc thesis online a few weeks ago, and it covers some of the topics I'll be looking at. https://helda.helsinki.fi/handle/10138/336807

What I did there was read a couple of 90's papers by Jean Bourgain and explain the basic results. Bourgain was known for omitting *a lot* of details, so this was not an easy task! The result is 80 pages of dense maths. (Goal for MSc theses is 40 to 50...)

Chapters 2 and 6 present pretty general tools and should be readable. Chapter 4 can be used to scare demons.

@ColinTheMathmo I am thinking a lot recently about how highly parallel paradigms (mainly GPU, but also multicores, etc) might transform the way we (should) approach or teach numerical algorithms.

It would be very interesting to find a programming language that allows to do this in a natural way, preferably with a higher level of abstraction. For example, are there dataflow languages that are suitable for high performance numerical work?

I (love|hate) regular expressions -- muesli (@fribbledom)

PSA: Using Conway's Doomsday Rule for calculating the day of the week from the date ...

Today is a Doomsday!

Woah, TIL that there are so-called fractal vises for clamping irregularly shaped items! (The picture doesn't explain it very well, you have to watch it in motion! It's in the first 30 seconds of the video:)

https://www.youtube.com/watch?v=QBeOgGt_oWU

#tools #HandTools

A "new to me" proof that \(\sqrt{2}\) is irrational, found by Sergey Markelov while still in high school.

In the decimal system, a square of an integer may only end in 0, 1, 4, 5, 6, or 9, whereas twice a square may only end with 0,2,8. So if a²=2b², both a and b must end with 0.

This triggers an infinite descent which proves that this is impossible, and so a²=2b² has no solutions in integers, hence 2 is never the square of a rational.

Math Student (BSc + MSc)¹. Sews, codes and draws.

[1] I'ts complicated

Joined Feb 2019