tcourant.bsky.social
@tcourant.bsky.social
Both sides evaluate to n(n+1)(2n+1)/2 using only 1) counting instances of n², and 1) using 1+2+3+···+n=n(n+1)/2.
I’m sure there are easier ways.
January 17, 2025 at 5:42 PM
But non-Euclidean are great! After all, Foucault’s pendulum is just parallel translation on a sphere, which is the same as parallel translation on the cone tangent to the sphere on that line of latitude. And that cone practically Euclidean! Super interesting! Don’t tap out!
December 30, 2024 at 11:36 PM
That’s a beautiful photo.
It makes me realize that I’ve changed the light transition lines to the midline in my photos to act better as phone wallpaper!
November 23, 2024 at 10:54 PM
Yes, ditch that textbook!
November 23, 2024 at 10:51 PM