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Elusive Proof, Elusive Prover: A New Mathematical Mystery
New York Times ^ | August 15, 2006 | DENNIS OVERBYE

Posted on 08/14/2006 11:26:41 PM PDT by neverdem

click here to read article


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To: ThePythonicCow

mouth, anus

And the mouth and anus are not two holes, but two ends of one hole, the alimentary canal.

= = = = = = = = = = = = = = = = = = = = = = = = = = = = =
True, and so if you are correct about the Eustachian tubes (and ignoring the lungs and sinus cavity which may or may not add to the count), there is indeed only "one hole" in the topological sense. And, if I am correct about those 'holes in our ears' there are, how many? Still four in that case, I think. "But I could be wrong".


41 posted on 08/15/2006 2:02:40 AM PDT by Blue_Ridge_Mtn_Geek
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To: bruinbirdman
I have detected a flaw in Dr. Perelman's work. You have 100 years to prove me wrong.

Look over there--you forgot to carry the 1.

42 posted on 08/15/2006 2:04:19 AM PDT by Lonely Bull
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To: ThePythonicCow

"The ear drum covers the entire passage -- that's why your ears pop when your airline flight comes in for a landing. The air in the outer ear cannot quickly equalize pressure with that in the middle ear. The ear drum separates the outer and middle ear canals."

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Is the fit "tight" but not "secure", sometimes temporarily obstructed by excretions? Else, are our ear drums broken whenever we experience a "pop" like that, or is a wider opening through which the pressure is equalized being created through the fluid and mucous which also sometimes occupies that passage? I notice that my ears have to "pop" when my sinuses are congested, but they don't when I'm breathing freely.


43 posted on 08/15/2006 2:08:12 AM PDT by Blue_Ridge_Mtn_Geek
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To: neverdem

This is all fascinating. All Mathematics can be explained through nature in relation to pi. Duh...


44 posted on 08/15/2006 2:08:41 AM PDT by lmr (You can have my Tactical Nuclear Weapons when you pry them from my cold dead fingers.)
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To: wyattearp

That is not a mathematical question. Perhaps, an E=Mc squared figures into that, but it is a question of science. Is matter particles of light? Or better yet, are particles of light matter? Einstein theorized one in the same...


45 posted on 08/15/2006 2:12:28 AM PDT by lmr (You can have my Tactical Nuclear Weapons when you pry them from my cold dead fingers.)
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To: neverdem

I like pictorials.

Have you ever seen a one sided figure?


46 posted on 08/15/2006 2:13:53 AM PDT by stands2reason (ANAGRAM for the day: Socialist twaddle == Tact is disallowed)
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To: neverdem

It should be noted that this proof may yet have a hole [no pun intended!], and if so it may take some time to discover it. There are precedents, e.g., Wiles agonizing extra year of work to plug the hole found after his initial announcement of a solution of the "Fermat Theorem" (for which he won a Clay Prize since that is one of the Millenium Seven):

http://en.wikipedia.org/wiki/Fermat's_last_theorem
(sorry, the syntax is correct, but the link generator must have a bug - - cut and paste the entire URL into your browser if you want to check out the reference)

"The story of the proof is almost as remarkable as the mystery of the theorem itself. Wiles spent seven years working out nearly all the details by himself and with utter secrecy (except for a final review stage for which he enlisted the help of his Princeton colleague, Nick Katz). When he announced his proof over the course of three lectures delivered at Isaac Newton Institute for Mathematical Sciences on June 21-23 1993, he amazed his audience with the number of ideas and constructions used in his proof. Unfortunately, upon closer inspection a serious error was discovered: it seemed to lead to the breakdown of this original proof. Wiles and Taylor then spent about a year trying to revive the proof. In September 1994, they were able to resurrect the proof with some different, discarded techniques that Wiles had used in his earlier attempts."


47 posted on 08/15/2006 2:16:47 AM PDT by Blue_Ridge_Mtn_Geek
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To: Blue_Ridge_Mtn_Geek

Sorry, I'm wrong about the Fermat Theorem being one of the Millenium Seven - - - it was solved in 1994, before Clay Institute even announced the "Millenium Problems". I need to get some sleep! Good morning.


48 posted on 08/15/2006 2:19:46 AM PDT by Blue_Ridge_Mtn_Geek
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To: neverdem

Sorry, one more reference I can't resist sharing, then to bed:

http://math.stanford.edu/~lekheng/flt/
Bluff your way in Fermat's Last Theorem


49 posted on 08/15/2006 2:24:00 AM PDT by Blue_Ridge_Mtn_Geek
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To: Blue_Ridge_Mtn_Geek
When our ears "pop", the air flow is threw the Eustachian tube, between the middle ear and the back of the throat. Nothing flows past the ear drum. When your sinuses are clear, the Eustachian tubes let the air flow more freely.


50 posted on 08/15/2006 2:39:18 AM PDT by ThePythonicCow (We are but Seekers of Truth, not the Source.)
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To: ThePythonicCow

*threw*through*


51 posted on 08/15/2006 2:39:59 AM PDT by ThePythonicCow (We are but Seekers of Truth, not the Source.)
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To: ThePythonicCow
The Poincare conjecture states (roughly) that 3-dimensional balls are, give or take some stretching, the only 3-dimensional object that has no holes.

Maybe that is why 3-dimensional balls are so stable and have the greatest volume.

No weak spots. No leaky spots.

52 posted on 08/15/2006 2:47:43 AM PDT by syriacus (A vote 4 Lamont is a vote 4 the right of abusive men to kill women + children, here + abroad.)
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To: wyattearp
But is matter truly everything?

Matter is the eventual resultant after results of another forward initiative by Infinite Mind in an effort to become greater than It's own Infinite status...by becoming also finite, in unlimited ways, degrees, over eternity (creating time) then that Self occupying those structures in Witness.

There eat that for breakfast

53 posted on 08/15/2006 3:07:13 AM PDT by USCG SimTech (Honored to serve since '71)
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To: USCG SimTech

Matter is the eventual resultant after results of another forward initiative by Infinite Mind in an effort to become greater than It's own Infinite status...by becoming also finite, in unlimited ways, degrees, over eternity (creating time) then that Self occupying those structures in Witness.

There eat that for breakfast


I think that's what the 60's drug culture was all about. In fact, I think they often "ate that for breakfast".


54 posted on 08/15/2006 3:16:24 AM PDT by saganite (Billions and billions and billions-------and that's just the NASA budget!)
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To: Blue_Ridge_Mtn_Geek

I still count 5. As the nose actually still has two that form a connected passage back through the mouth.


55 posted on 08/15/2006 3:32:59 AM PDT by dalight
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To: neverdem
"To a topologist, a rabbit is the same as a sphere. Neither has a hole."

wonder how a rabbit eats, etc. if it ain't got no hole?

56 posted on 08/15/2006 3:43:04 AM PDT by camle (keep your mind open and somebody will fill it full of something for you)
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To: Vanders9
EVERYTHING matters...

. . .if you think about it. . .

57 posted on 08/15/2006 3:49:19 AM PDT by cricket (Live Liberal free. . .or suffer their consequences. . .)
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To: neverdem
There seems to be no concern espressed here; so am assuming 'someone' knows where Perelman is and that there is no reason for alarm at the 'lack of sightings' or the fact he does not respond to his e-mail. . .

. . .and for sure, the man knows his mushrooms. .

58 posted on 08/15/2006 4:06:46 AM PDT by cricket (Live Liberal free. . .or suffer their consequences. . .)
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To: RussP
I'd be interested to know if this proof has any practical implications or uses.

You remind me of those kids in class who were always asking, "Is this gonna be on the test?", just when the prof was getting to an interesting math concept.

59 posted on 08/15/2006 4:20:20 AM PDT by sportutegrl (A person is a person, no matter how small. (Dr. Seuss))
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To: ThePythonicCow
So we are donuts. JFK was right.
60 posted on 08/15/2006 4:22:40 AM PDT by sportutegrl (A person is a person, no matter how small. (Dr. Seuss))
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