@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.

Write the digit 1 eight million, one hundred and seventy seven thousand, two hundred and seven times in a row.

That's a prime number.

Discovered by Ryan Propper and Serge Batalov a few days ago. https://oeis.org/A004023

An overview of The Class Number Formula:

https://oxyde.ga/2021/04/30/Class-number.html

Whether or not the ring of integers is a principal ideal domain depends on the value of a certain \( ζ \) function.

"I have given you everything you asked for," the king said. "Have you succeeded?"

The alchemist stared into his wine cup. "I have discovered that which can turn one thing into another."

"The philosopher's stone, which turns lead into gold?"

"Time, which turns words into regrets."

#MicroFiction #TootFic #SmallStories

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

[1] I'ts complicated

Joined Feb 2019