Log24

Monday, July 20, 2026

Harrison Ford’s “Air Force One” soundtrack —

Filed under: General — Tags: , , , , , , — m759 @ 11:12 am

From Wikipedia —

The Internationale

"L'Internationale", original French version

International anthem of anarchists, communists,
socialists, and social democrats

Also known as « L'Internationale »
Lyrics Eugène Pottier, 1871
Music Pierre De Geyter, 1888
 
Audio sample
Duration: 1 minute and 27 sec.
 
Instrumental rendition in A major

Update at 2:08 PM ET on July 20, 2026 . . .
with footnotes screenshot of 9:16 PM ET the same day:

For some news today of interest to mathematicians internationally ,
see Wikipedia on a reported finding by the AI Claude Fable 5
of a counterexample to the Jacobian conjecture.

Update of 9:38 AM ET July 21 —

(Claude Fable 5 appeared recently in this  journal . . .
See July 8 — "Affine Generation: Claude Fable 5 Weighs In,"
http://m759.net/wordpress/?p=136411.)

Saturday, July 18, 2026

Annals of Broken Symmetry: 
Warren Beatty Weighs In

Filed under: General — Tags: , — m759 @ 12:53 pm

260718-Ye_Gods-Dick_Tracy-exclamation-AI-Overview.jpg

Friday, July 10, 2026

Moby Dick Weighs In

Filed under: General — Tags: — m759 @ 4:31 pm

From a March 16, 2026, private post . . .

The following image from the recent film "Song Sung Blue" is said
in the film to be from the Wisconsin State Fair . . .

Wednesday, July 8, 2026

Affine Generation:  Claude Fable 5 Weighs In

Filed under: General — Tags: , , , — m759 @ 4:15 am

"A Nice Way to See"

Logos

IMAGE- Current math.stackexchange.com logo and a 1984 figure from 'Notes on Groups and Geometry, 1978-1986'

"Me — Thank you very much, Claude, for your perceptive remarks.
(By the way, I had in mind only the affine block actions
that make the conjecture work.) That's all for now.

Claude — Thinking about acknowledging previous mathematical
discussion clarification

Claude — You're welcome — and with the affine block actions,
your conjecture holds exactly as stated: those coset-permuting maps
across all choices of W generate precisely AGL(n,2). It's a nice way
to see the affine group built up from many overlapping S4's.
Glad I could help!"

Background reading . . .

"Binary Coordinate Systems," by Steven H. Cullinane —
http://finitegeometry.org/sc/gen/coord.html .

Quote adapted from a famous young-adult novel . . .

"There is  such a thing as affine group generation 
by permutation of parallel subspaces."

Powered by WordPress