- A proof of Euler’s Reflection Formula - I just found the following proof of Euler’s reflection formula. The thing I like about it is that all it requires is dumbly marching forwards, there is no trickery. When and are both positive, that is, when , I’m going to join those integrals, so giving different names to each copy of , […]
- The Shoe-Banging Incident and Historiography - In 1960, the Cold War was in a crescendo. The communists had won the civil war in China, reasserted themselves in Korea and weren’t showing any signs that they would withdraw from Eastern Europe. Another war was underway in Indochina and the United States was starting to get involved. Year after year the opposing sides […]
- A346587 - OEIS link. This is the sequence of k so that is incrementally largest, where is the Carmichael function. I wrote a math stackexchange post which I’ll reproduce below: If we fix a list of primes, and write where only can be , we can find what the exponents should be. There are four […]
- Counting the number of chess games - I recently came across a github repo by John Tromp with an exceedingly simple premise: generate a bunch of random chess positions, verify whether they’re legal, and use statistics to approximate how many legal games there are. Clearly that idea has the precise simplicity and novelty to make one feel like an idiot for not […]
- Consistent Legendre Symbols in LaTeX - Making Legendre symbols in LaTeX prettier and more consistent.
- Book Recommendations - Seeing Like A State by James C. Scott. I just had to reproduce the cover below. It’s a picture of a road that is simultaneously supposed to be straight and run across a line of constant latitude. It’s very representative of the theme of the book: states trying to achieve certain narrow goals and getting […]
- The Gregorian Calendar is Wrong - Picture this: it is January 48BC. Caesar crossed the Rubicon nearly an year ago. Then he proceeded to march on Rome then go to Spain, destroy the forces loyal to the Senate there and come back. Now he is in Italy while Pompey and most of the Senate are in Greece assembling an army to […]
- Links - This is a list of links to things I find interesting.
- A344202 - OEIS link. This is the sequence of primes such that I first thought of this sequence after reading a mathoverflow post about the Diophantine equation The sequence arises when you consider solving the equation for coprime. In this case you might also expect and to be coprime, in which case you […]