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by N
May 7th, 2007, 12:36 pm
Forum: Technical Forum
Topic: Brownian motion, does this phrase make sense?
Replies: 126
Views: 78541

Brownian motion, does this phrase make sense?

z,Tony Smith (baez's sidekick in theoretical physics) is viewed by the Cornell Physics dept as a total crackpot, but smith doesn't score any points on baez's crackpot scale. Do ya think that this may say something about the quality of Cornell physics?n
by N
May 6th, 2007, 11:53 pm
Forum: Technical Forum
Topic: Brownian motion, does this phrase make sense?
Replies: 126
Views: 78541

Brownian motion, does this phrase make sense?

<t>N, is it your opinion that the use of the AOC leads to the very serious difficultiesCrow, there are other issues but AOC is definitely an immediate show-stopper.dongta, Fefferman added zippo to the theory of PDEs and harmonic functions. His work is pretty sad. And Elias Stein is in the same boat....
by N
May 6th, 2007, 9:01 pm
Forum: Technical Forum
Topic: Brownian motion, does this phrase make sense?
Replies: 126
Views: 78541

Brownian motion, does this phrase make sense?

<t>QuoteOriginally posted by: crowlogicQuoteOriginally posted by: NQuoteOriginally posted by: dongtaQuoteOriginally posted by: NThey no value in nontrivial mathematics and physics.Terence Tao once said that mastering Fourier Transform can get you a Fields medal. (I cannot remember exactly where and ...
by N
May 6th, 2007, 8:10 pm
Forum: Technical Forum
Topic: Brownian motion, does this phrase make sense?
Replies: 126
Views: 78541

Brownian motion, does this phrase make sense?

<t>QuoteOriginally posted by: dongtaQuoteOriginally posted by: NThey no value in nontrivial mathematics and physics.Terence Tao once said that mastering Fourier Transform can get you a Fields medal. (I cannot remember exactly where and when he said so). But anyway, it's true in some sense as most of...
by N
May 6th, 2007, 12:00 am
Forum: Technical Forum
Topic: Brownian motion, does this phrase make sense?
Replies: 126
Views: 78541

Brownian motion, does this phrase make sense?

<t>QuoteOriginally posted by: FermionTo some extent, the distinction between random and deterministic is meaningless, or at best is a relative one depending on how one chooses to describe a phenomenon. It's like asking how many angels can dance on the head of a pin.Consider a uniform distribution. W...
by N
May 5th, 2007, 11:56 am
Forum: Technical Forum
Topic: Brownian motion, does this phrase make sense?
Replies: 126
Views: 78541

Brownian motion, does this phrase make sense?

<t>QuoteOriginally posted by: FermionQuoteOriginally posted by: N My point is that physicists have it exactly backwards! Aggregate behavior is *always* deterministic (and quantized), whereas specific detailed behavior of individual molecules is always quite random looking requiring a probability app...
by N
May 5th, 2007, 11:44 am
Forum: Technical Forum
Topic: Brownian motion, does this phrase make sense?
Replies: 126
Views: 78541

Brownian motion, does this phrase make sense?

<t>QuoteOriginally posted by: amiralievListen N, what point do you want to make? Don't you think the statements likeQuotePlease, give me some reasons why I shouldn't think that those who teach stochastic calculus are total idiots...(or indeed like "there is no such thing as random") are a little bit...
by N
May 5th, 2007, 10:05 am
Forum: Brainteaser Forum
Topic: So why is proving the Poincare conjecture so hard?
Replies: 6
Views: 73612

So why is proving the Poincare conjecture so hard?

<t>Hm, first of all it's a manifold so by definition it has a set of maps, where the manifold is covered by all the maps and each map has a homeomorphism onto an open set of euclidian space(basically it's a disco). So how is it a single-point projection?Requiring n-manifolds to be smooth is a big ti...
by N
May 4th, 2007, 3:57 pm
Forum: Technical Forum
Topic: Brownian motion, does this phrase make sense?
Replies: 126
Views: 78541

Brownian motion, does this phrase make sense?

<t>QuoteOriginally posted by: vixenYou can only say that the system is deterministic if you exclude Measurements from the system. For example, the time evolution of wave functions ( whatever variable is in your system ) is deterministic but this system does not in any way model the outcome of measur...
by N
May 4th, 2007, 3:47 pm
Forum: Brainteaser Forum
Topic: "next element in the series"?
Replies: 28
Views: 79603

"next element in the series"?

<t>QuoteOriginally posted by: vgoklaniwell, this was a preliminary interview question - and it was all the information provided (nothing more).The answer is that the next number in the series is anything you want to make it (using polynomials) unless a constraint is specified. That's the correct ans...
by N
May 4th, 2007, 3:34 pm
Forum: Technical Forum
Topic: Brownian motion, does this phrase make sense?
Replies: 126
Views: 78541

Brownian motion, does this phrase make sense?

<t>QuoteOriginally posted by: vixenRandom exists in Nature. Special Theory of Relativity and the existence of Entangled Quantum states implies that Quantum Measurements are truely random. To assert that there is no randomness is equivalent to rejecting either STR or Entanglement or both! So which th...
by N
May 4th, 2007, 1:31 pm
Forum: Technical Forum
Topic: Brownian motion, does this phrase make sense?
Replies: 126
Views: 78541

Brownian motion, does this phrase make sense?

<t>QuoteOriginally posted by: jawabeanQuoteOriginally posted by: NThe bottom line is that it is so hard to be random that it's actually impossible! (This a well know, but hard to believer result of KAM theory)Anyone disagree or isn't ready to throw out their copy of Hamilton's' Time Series Analysis'...
by N
May 4th, 2007, 1:13 pm
Forum: Brainteaser Forum
Topic: So why is proving the Poincare conjecture so hard?
Replies: 6
Views: 73612

So why is proving the Poincare conjecture so hard?

Okay if the question ain't stupid, the answer "N/A" makes it seem so.
by N
May 4th, 2007, 12:57 pm
Forum: Brainteaser Forum
Topic: So why is proving the Poincare conjecture so hard?
Replies: 6
Views: 73612

So why is proving the Poincare conjecture so hard?

<t>Here's an excerpt describing the Poincare conjecture,"Poincaré conjecture states that every simply connected closed three-manifold is homeomorphic to the three-sphere".The problem is that smooth three-manifolds (octonions) have only a single point projection onto a Euclidean space (the space of t...
by N
May 4th, 2007, 12:26 pm
Forum: Technical Forum
Topic: Brownian motion, does this phrase make sense?
Replies: 126
Views: 78541

Brownian motion, does this phrase make sense?

<t>The next question... If there is no such thing as brownian motion (or more exactly, no such thing as stochastic flows), then is there no such thing as 'random'?States can be orthogonal, independent, etc., but their values aren't random. Timeseries can never have elements that are random. Random d...
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