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Burden of Proof [Math 55 at Harvard]
The Harvard Crimson ^ | 6 Dec 2006 | Logan R. Ury

Posted on 11/27/2007 7:00:02 PM PST by snarks_when_bored

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To: LjubivojeRadosavljevic
“You forgot to factor in the massive AAA threat”

I made one little (obvious) comment and my purportive mental superiors lost all confidence in their own equations...

LOL!

41 posted on 11/27/2007 8:45:32 PM PST by sarasmom
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To: Pharmboy
Gee, can Viscardi’s parents please share with us exactly how they brought him up so he would be a math genius? It’s all environment, right? /sar

Anybody who has ever spent any time around mathematically gifted people knows that environmental factors have very little to do with their pure ability, although study does hone their skills. Plato knew this 2,500 years ago. In Book VII of Republic (526b), Socrates engages Glaucon in the following exchange (my underline):

"Do you see, then, my friend," I said, "that it's likely that this study [calculation] is really compulsory for us, since it evidently compels the soul to use the intellect itself on the truth itself?"

"It most certainly does do that," he said.

"What about this? Have you already observed that men who are by nature apt at calculation are naturally quick in virtually all studies, while those who are slow, if they are educated and given gymnastic in it, all make progress by becoming quicker than they were, even if they are benefited in no other way?"

"That's so," he said.


42 posted on 11/27/2007 8:57:12 PM PST by snarks_when_bored
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To: LjubivojeRadosavljevic

Yes, Gauss, too, was a well-adjusted supreme genius...


43 posted on 11/27/2007 8:59:10 PM PST by snarks_when_bored
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To: SirKit

Math ping!


44 posted on 11/27/2007 9:25:23 PM PST by SuziQ
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To: LjubivojeRadosavljevic
Prove the following: Sum[Cos[x*n]/n] converges uniformly, where n=1,...,Infinity.

The task does not require showing what it converges to. Maybe you can assume the worst case of cos(whatever) = 1, and show that sum(1/n) converges; this eliminates worries about x as well.

45 posted on 11/27/2007 9:34:28 PM PST by Greysard
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To: snarks_when_bored

“Though past rosters have included female students, Math 55 is a fraternity. Students rush. Eleven become pledges, and they are initiated with problem sets.”

Why do they have to dump this libtard garbage in here? This is not a grouping based on sex, it is a grouping based on ability. Can’t have that, though, can we?

Acceptance and advancement based on merit are anathema to liberalsim/socialism. Self evident here...


46 posted on 11/27/2007 10:01:00 PM PST by piytar
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To: snarks_when_bored


“This solution was not known before,” said Peter Ebenfelt, Viscardi’s adviser and a math professor at the University of California San Diego. “The Dirichlet problem is a very old problem; it’s been around since it was formulated by Dirichlet in the 19th century.””

Wow, just WOW. Kid solved a problem that has been around for almost 200 years! PhD level? This is so far beyond most PhD (and frankly post doc work) that it’s scary...


47 posted on 11/27/2007 10:08:40 PM PST by piytar
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To: grey_whiskers
Quite right. I'd differentiate her integrated internals.

Prove M-Theory.

48 posted on 11/27/2007 10:09:59 PM PST by onedoug
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To: snarks_when_bored

you can be sure that if he spent all his life watching tv and chasing after women, he wouldn’t get very far.
You have to have “rage to master.” I know I have to work on this trait...


49 posted on 11/27/2007 10:13:14 PM PST by ari-freedom (I don't want Huckabee or Applebee...give me someone from Tennessee!)
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To: LjubivojeRadosavljevic

e, right?


50 posted on 11/27/2007 10:14:07 PM PST by piytar
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To: Greysard; LjubivojeRadosavljevic
Sum[Cos[x*n]/n]... where n=1,...,Infinity

This sort of sum shows up, for example, in studies of the Gibbs Phenomenon (see Many sine functions for graphs).

51 posted on 11/27/2007 10:14:35 PM PST by snarks_when_bored
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To: piytar
Why do they have to dump this libtard garbage in here?

I didn't get that from the article.

52 posted on 11/27/2007 10:17:11 PM PST by snarks_when_bored
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To: snarks_when_bored

It wasn’t in most of the article, mostly just the part I quoted which was clearly castigating the male only character of Math 55. That is why it stood out as out of place PC dripe to me.


53 posted on 11/27/2007 10:21:37 PM PST by piytar
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To: piytar
Did you notice these paragraphs?
While Harrison ultimately chooses to remain in the class, such conferences motivate several more students to drop, including the only two females: Cook, who had looked forward to taking the class, and Laura P. Starkston ’10.

“The problem was that I wasn’t prepared to think that abstractly,” Cook says. “Gaitsgory pointed it out to me in our private conference. Eventually I just got the picture.”

The final course drop forms are dutifully submitted, finalizing the class roster: 45 percent Jewish, 18 percent Asian, 100 percent male. The tribe has spoken.

There is no PC moralizing here, just statement of facts.

54 posted on 11/27/2007 10:26:27 PM PST by snarks_when_bored
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To: ari-freedom

We were only discussing pure ability, not motivation and work ethic. You’re right about the need for total immersion in the work.


55 posted on 11/27/2007 10:36:13 PM PST by snarks_when_bored
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To: Greysard
On the contrary, the task did, I just failed to point it out. So, let's set x=1. Now, what does this series converge to?

Sum[Cos[n]/n]=?, where n=1,...,Infinity.

Hint: more generally, x must be strictly bounded between 0 and 2Pi.

56 posted on 11/27/2007 11:14:45 PM PST by LjubivojeRadosavljevic
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To: snarks_when_bored
This sort of sum shows up, for example, in studies of the Gibbs Phenomenon...

You are correct. How long did it take for you to reason this out?

57 posted on 11/28/2007 1:16:31 AM PST by LjubivojeRadosavljevic
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To: LjubivojeRadosavljevic

uhhh......42


58 posted on 11/28/2007 2:23:27 AM PST by Tainan (Talk is cheap. Silence is golden. All I got is brass...lotsa brass.)
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To: snarks_when_bored

Wolfram bump. Absolutely fascinating book. I own it, haven’t read all of it yet. Wrote a program to test the automata and got the same results he shared.


59 posted on 11/28/2007 2:25:57 AM PST by Lexinom (Build the fence and call China to account. GoHunter08.com)
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To: Lysandru

The closest thing that we had like this at West Point was the math program that I was in— MA153-154

****************

Really? Thats like sophomore level math?


60 posted on 11/28/2007 2:32:46 AM PST by Hunterite
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