This is a list of links to things I find interesting.
A blog series on the classical theorem of multivariable calculus.
- The Euler-Maclaurin formula, Bernoulli numbers, the zeta function, and real-variable analytic continuation
A blog post by Terence Tao.
A blog post by Scott Aaronson.
Using computers to generate numerical conjectures. My favorite is
This is very difficult to explain. Anyway, it’s a great explanation of what mathematics is, what axioms are, etc.
Twofold performance increase on the greatest common divisor operation by using the binary variation of Euclid’s algorithm.
A blog series defending a tentative theory that the obesity epidemic is caused by environmental contaminants.
A collection of courses which attempts to teach physics concepts with the minimum amount of overhead.
A derivation of the Boltzmann distribution (of the density of the atmosphere versus height) in a not handwavey way.
- Saving the earth from the Sun’s red giant phase
Earth burns in a billion years when the sun expands. UNLESS we steal energy from Jupiter to gradually expand Earth’s orbit! We can *actually* do this by diverting a large asteroid (0.01% the size of the moon) to pass between Earth and Jupiter every 6000(!) years. pic.twitter.com/lidW1ebaoD
— David Holz (@DavidSHolz) August 10, 2021
- “The Breit-Wheeler process which produces matter and antimatter from photon collisions is experimentally investigated…”
- A Slower Speed of Light
A game about an universe where you can run at light speed. It’s great for building intuition about relativistic phenomena.
A graph of the S&P 500 Shiller PE since 1872.
The source of that data, Shiller himself.
Aswath Damodaran investigated the motives for China’s recent crackdown on its tech companies.
- Earth and Stars – Thomas Pesquet
Picture taken aboard the International Space Station.
A podcast series on the history of Rome, from its founding to the fall of the Western Empire. In astounding detail.
Orwell ponders about the consequences of the then new atomic bomb technology. This also explains something I always found unclear in 1984: why is it that the world is divided into superstates? Wouldn’t an autocracy of many conventional sized states be as plausible? In his words “we have before us the prospect of two or three monstrous super-states, each possessed of a weapon by which millions of people can be wiped out in a few seconds, dividing the world between them”.
Measurements of the latency of several computers and phones.