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Poincaré Conjecture May Be Solved
Flamerule writes "The New York Times is now reporting that Dr. Grigori (Grisha) Perelman, of the Steklov Institute of Mathematics of the Russian Academy of Sciences in St. Petersburg, appears to have solved the famous Poincaré Conjecture, one of the Clay Institute's million-dollar Millennium Prize problems. I first noticed a short blurb about this at the MathWorld homepage last week, but Google searches have revealed almost nothing but the date and times of some of his lectures this month, including a packed session at MIT (photos), in which he reportedly presented material that proves the Conjecture. More specifically, the relevant material comes from a paper ("The entropy formula for the Ricci flow and its geometric applications") from last November, and a follow-up that was just released last month."
Only two years more of eating noodles before he's rich!
The subject of 3 dimensional objects with holes is quite fascinating... wouldn't it be awesome if it was discovered that toroids are actually some extradimensional manifestation... Or even that Toroids have special properties allowing FTL travel...
Food not Bombs is a nice platitude but it breaks down when you notice that the Bombees are usually well fed
"...in the hope that someone explains it in a manner I can understand"
You're new here, arent you?
This is my sig. Its pathetic.
Silly people... this is TOPOLOGY! It's not meant for people to USE it! It's just for mathematicians to RUMINATE UPON!
Has Fermat's Last Theorem actually been used in practical applications? I don't think so...
true && more || less
Complex mathematics? Looks like its time for Matt Damon and Pretty-Boy Affleck to write Good Will Hunting II.
http://www.theinformationminister.com/press.php?ID =612212491
we got this ages ago. i swear
So, why the excitment about this later Perelman paper? Has the Dunwoody paper been debunked?
The part of the proof where it says "then a miracle occurs..." is being questioned by numerous mathematicians.
Ooh, a sarcasm detector. Oh, that's a real useful invention.
Mmmmm...hypothetical donut...
If your bitterest enemies are people who hack the heads off civilians, then I would say you're doing something right.
I prefer to think of it as
public static void main (String[] args) {
doStuff();
}
You win again, gravity!
> Now, can someone tell me what practical
> applications there might be of this?
An application would be to make better doughnuts, I suppose.
Votez ecolo : Chiez dans l'urne !
It appears most people are spelling incorrectly! Including the sites included in the post!
..... its "mathemagician"
:)
It is not "mathematician"
Please make the appropriate corrections.
[I can picture a world without war, without hate. I can picture us attacking that world, because they'd never expect it]
Me. Hammer. Pliers. Every available 3-manifold. Can I have my $1 million please?
(This of course assumes that 3-manifolds are malleable.)
Note to M1-ers: a curt but otherwise insightful message is not "Flamebait" or "Troll".
I thought that this Wolfram guy was the smartest man in the universe and had all the answers. Now some brie-muncher comes along and proves something in math that Wolfram couldn't? This can only be due to one of three reasons:
1. When Wolfram and Hart were all killed by the Beast, Wolfram was in the house.
2. Wolfram is human and isn't as smart as the papers say.
3. He stepped up to MCHawking and is now hanging from a tree with a sign pinned to him that reads: WHACK EMCEE.
If Slashdot were chemistry it would look like this:Cadaverine
I swear that looks like perl.
By reading this comment, you immediately waive any and all rights regarding it.
Remember the mathematicians' toast, though: "Here's to pure mathematics! May it never be of any use to anybody!" I think it's attributed to GH Hardy.
How can you break the rubber band in order to get the doughnut to go to a point without breaking the doughnut too?
If this proof is correct, it will forever change the way we do texture-mapping on 4-dimensional graphics cards.