Hornbein's latest activity

In Balinese there is no word for the branches of a tree. If branch falls off you call it "fallen wood."

Recently there was a thunderstorm here of great power. There would be a bright flash then after ten seconds a rumble that would build...

It can be maximal or minimal, as long it's a path of stationary proper time. See this old thread...

In General Relativity the relevant law is that a particle naturally follows paths of maximal proper time. Not minimal. That is...

There must have been some physics here. @berkeman - have you ever seen one like this? Motorcyclist seriously injured after crash...

About a dozen electric guitarists from all over the world take a verse apiece. I like Helen Ibe from Nigeria. It takes a while to get...

https://news.harvard.edu/gazette/story/2026/05/deskilling-is-bad-this-is-worse/ Is that really true? Maybe I should log in as Delmar...

The original is still the greatest. There are a great many covers. I like this one, though it isn't by John Scofield. Some mystery...

Is forbidden per PF rules.

The contrapositive is, if √𝑎 is rational then 𝑎 is rational Easily proved. There is no condition that 𝑎 is irrational so...

The orig Guitar Boogie from 1948. Later copied by Jeff Beck, Tommy Emanuel, The Ventures and many others. I say these don't boogie...

Senri Kawaguchi at age 15 possibly already the best bebop drummer in history. I love what saxophonist Yukiko Onishi does too but she...

Terence Tao says there are AIs that excel at math. Whom am I to gainsay him?

TIL two things about the geometry of curved surfaces: (1) There are no similar triangles on a curved surface, because making a triangle...