I think I’m the right audiance for the video. I’m pretty new in maths, but it fascinates me. ]]>

From this series, we’ll be able to calculate explicitly all the multiple point set invariants, see that when it is capped off, it represents a generator of the third stable stem (zee mod 24) when considered upto cobordism, and look for other invariants of the fold set OF THE PROJECTION ONTO THE PAPER. It, of course, has no folds or creases in the same way that my trousers don’t have creases even though they were just ironed.

The apparent creases (in the trousers) as artifacts of the projection onto the ironing board.

I am pretty sure that the example I work with is very minimal, and it will contain a belt trick in it. But it does not contain the corregations that the ThTh eversion has.

If I got off the blogosphere, finished grading these tests, and finished a mathematica program to rotate a bunch of polyhedra in 4-space, I would be finished in a jiffy.

]]>That could be gripping video, if the Australian actresses are pretty enough and scantily clad, and the background music is cool.

As to people that assume to be dumb saying something smart, and vice versa, here’s a snippet from an obituary today:

Former Green Bay receiver Max McGee dies in fall from roof

By STEVE KARNOWSKI,

Associated Press Writer

October 21, 2007

MINNEAPOLIS (AP) — Max McGee, the unexpected hero of the first Super Bowl and a long-time challenge for Hall of Fame coach Vince Lombardi, died Saturday after falling from the roof of his home, police confirmed. He was 75….

“He had a delightful sense of humor and had a knack for coming up with big plays when you least expected it to happen,” Packers historian Lee Remmel said. “He had a great sense of timing.”

Remmel said McGee once teased Lombardi when the coach showed the team a football on their first meeting and said, “Gentlemen, this is a football.”

“McGee said, ‘Not so fast, not so fast,”‘ Remmel said….

[Then he turned the football inside-out, while sexy Australian cheerleaders discussed the quantum computing implications of hot tub immersion]

]]>1) Hassler Whitney unified the various competing notions of “manifold” and proved that all n-dimensional manifolds embed in Euclidean 2n-dimensional space. His proof (called the “hard whitney embedding theorem”) used a technique for removing opposite pairs of double points from an immersion — a map that is locally an embedding, but globally maybe not. This, I think is the main motivation — that all manifolds embed in some Euclidean space in a sense solves a mental riddle that goes back to “the earth is flat”/”the earth is round” debate.

2) People began to notice that the study of immersions was significantly “easier” than studying embeddings, yet non-trivial enough to still require some work, and frequently immersions are close-enough to embeddings to give you useful information. Early theorems of this type were the Whitney-Graustein theorem that classified immersions of the circle in the plane.

3) Steve Smale, in his dissertation souped-up the Whitney-Graustein theorem to the point where he could “classify” immersions of the circle in any 2-dimensional manifold.

Shortly after graduating, he got on a tremendous “roll” and proved a landslide of beautiful theorems, one being that the sphere could be turned inside-out.

On a more personal note, until I had seen the sphere turned inside-out I was not convinced mathematicians had anything non-trivial to say. It helped to convinced me to take mathematics seriously. I was a microbiology student at the time.

]]>Yeah, can’ t you just imagine how much more fun talks in complexity theory would be with animation.

“Here’s a Turing machine. It’s like an automatic mechanical typewriter. Look, it has written a 1 on the tape. Exciting, can we see that again?”

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