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Stanford Lecture: Donald Knuth-"Why Pi?"(2010) 

Stanford Online
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29 окт 2024

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Комментарии : 60   
@nikilkvn
@nikilkvn 13 лет назад
one lecture and i understood, what mathematics is really dealing with..i really like the thing that he explains from scratch..
@pepper669
@pepper669 11 лет назад
Cool lecture, thank you Mr. Knuth!
@TheDavidlloydjones
@TheDavidlloydjones 3 года назад
Naah. Just ordinary normal Knuth. I.e. excellent!
@RelatedGiraffe
@RelatedGiraffe 12 лет назад
15:53 "It's a proof that is nice and short but it uses complex numbers and unique factorizations of polynomials and things like that"
@DizzerJoz
@DizzerJoz 11 лет назад
I think there's an easier proof which says that a_6 is less then one. p_6 = a_6 * p_1 so p_6 < p_1. So P(12) < P(2). Then P(2) not= P(12) and hence such a dice can not be built. (not sure on the index of the a, might be 5) This proof generalizes to k-dices easily: p_k = p_1 * a_k. since a_k < 1, p_k < p_1. But then P(2*k) < P(1).
@Burevestnik9M730
@Burevestnik9M730 3 года назад
as we can see, Google back then, 10 years ago, was - just Google. Those were beautiful times when one could really Google something and get the result set related to search criteria. Maybe this could be the subject of Knuth's next book? "Why Google failed (like everything else)?"
@cygil1
@cygil1 11 лет назад
Professor Knuth is getting on a bit now. He's a legend and still brilliant but you've got to make allowances for that.
@ottofrello
@ottofrello 11 лет назад
What pen is he using?!
@quantummath
@quantummath 12 лет назад
AMAZING!
@RelatedGiraffe
@RelatedGiraffe 12 лет назад
So, what was the recent discoveries that have uncovered a fascinating relationship between circles and the theory of trees?
@akshayjaggi6376
@akshayjaggi6376 9 лет назад
Is there a written transcript of this lecture anywhere?
@spamsoppl
@spamsoppl 11 лет назад
you should give it another try, after couple minutes it stops distracting
@TrevorIsCrazy
@TrevorIsCrazy 12 лет назад
lmao I'm in simple high school math: algebra 2b in the Tennessee curriculum. and im trying to understand this to the best of my ability! XD
@karlramberg
@karlramberg Год назад
"Let me tell you what I would have said if I had more time" Classic joke 😀
@Dzikslol
@Dzikslol 12 лет назад
ye, but w/e, we all do mistakes from time to time
@RelatedGiraffe
@RelatedGiraffe 12 лет назад
Why does he have to use polynomials? If the number of faces on the dices are specified, like in this case, you can show that you get an overdetermined, coupled system of equations that doesn't have a solution. I didn't really watch the proof though, maybe it was a nice one... ^_^
@Burevestnik9M730
@Burevestnik9M730 3 года назад
what the heck is this guy talking about? where is the Intro??
@evanderiel9066
@evanderiel9066 6 лет назад
Heads up, Knuth makes an error in writing out the dice math: p4 = 1/2 * 3/4 * 5/6 = 15/48 or 5/16, not 15/16. In other words he gets the unsimplified form and the simplified forms mixed up. Don Knuth really has forgotten more than I'll ever know.
@none_of_your_business
@none_of_your_business 3 года назад
was just about to write this
@DizzerJoz
@DizzerJoz 11 лет назад
why p_1^2 ? 26:30
@DizzerJoz
@DizzerJoz 11 лет назад
*also
@HugRunner
@HugRunner 12 лет назад
Interesting, but somewhat confusing at times when he stutters too much and he skips or fast-forwards a few steps in the "proofs". I have no trouble with the math he is trying to explain but the way he does it isn't very easy to follow.
@solwarda2
@solwarda2 9 лет назад
Here is a very good question for anybody who wants to come up with some good explanation: Why do so many very intelligent people, particularly mathematicians, stutter, some more so than others. In the last month or so, I have watched about a dozen or so brilliant mathematicians, and more than 50% of them stutter to some degree or another? Any good explanations would be welcome. Thanks.
@solwarda2
@solwarda2 9 лет назад
espen hæhre I'm sorry, I don't understand what you mean by "above time".
@ShokoDemon
@ShokoDemon 9 лет назад
you're asking for a direct correlation between a speech impediment and intelligence. here you go: www.csun.edu/~ainslab/readings/Anna/Barnard_1930_Relation%20of%20intelligence%20and%20personality%20to%20speech%20defects.pdf
@solwarda2
@solwarda2 9 лет назад
Shokodemon Thanks for the link.
@BGSoccerMagic
@BGSoccerMagic 9 лет назад
Because of the way the brain works. Unlike other tissues like the muscle that can cope with increased functional load by increasing the size of the individual cells, or the liver - by increasing the number of its cells, the brain can do neither as it is confined within the walls of the skull, so the brain can't grow in size, at least not with substantial speed, it takes a while to remodel the bone of the skull. So the brain goes around that problem by reassigning the roles of its neurons - neurons performing tasks that have become obsolete (as those of the visual cortex of blind people), or less of importance, are assigned to task that are higher on the priority list - that is how the brain plasticity works. The second case is when the wiring of the brain during the its development, benefits some areas at the expense of others. The interplay between genetic make-up, environmental stimulation, and personal choice, will eventually determine which areas of the brain are going to be dominant over which ones and to what degree.
@azursmile
@azursmile 2 года назад
I'm guessing because in some cases the brain is working faster on the ideas than the ability to articulate them..
@marshaul
@marshaul 12 лет назад
9:15 Command-` Donald, command-` !!!
@Jarl7076
@Jarl7076 12 лет назад
yes, why pie?
@vikram360
@vikram360 12 лет назад
How is this hall so empty?
@Burevestnik9M730
@Burevestnik9M730 3 года назад
you heard the man talking??
@belive-cb8jp
@belive-cb8jp 8 лет назад
124875 SATOR Know Schisma!
@DizzerJoz
@DizzerJoz 11 лет назад
or 5/16
@antonromanenko3200
@antonromanenko3200 3 года назад
*_5.10 Tax Heaven 5.10 Financial Paradise 5.10 Free movement of people, goods, services and capital 5.10 State get out of economy 5.10 Multicurrency 5.10 Multilanguage 5.10 Right to keep and bear arms 5.10 Wealthy people 5.10 Libertarian idea 5.10 Balashov 5.10_*
@JABRANE4
@JABRANE4 12 лет назад
it's long
@effinshut
@effinshut 12 лет назад
sorry, after 3 minutes i had to quit. i have problems following the professor acoustically.
@Burevestnik9M730
@Burevestnik9M730 3 года назад
this guy shouldn't talk. he should only write and show slides. he should be given 1 month for each slide to prepare.
@liambury529
@liambury529 10 лет назад
If he is a teacher at Stanford then he should probably know how manage windows!
@sethbrown7253
@sethbrown7253 10 лет назад
He's not just a teacher at Stanford. He's the most famous and respected living computer scientist.
@DustinRodriguez1_0
@DustinRodriguez1_0 10 лет назад
'Computer science is no more about computers than astronomy is about telescopes.' - Dijkstra
@AlgerianPhoenix
@AlgerianPhoenix 11 лет назад
That's why he wrote books ;)
@Axacqk
@Axacqk 2 года назад
That moment when the caption generator hears "1 + z" and transcribes it as "1 plus ze" because it thinks "ze" is a pronoun...
@Burevestnik9M730
@Burevestnik9M730 3 года назад
this is one unprepared speaker
@Marmelademeister
@Marmelademeister 11 лет назад
It must be a skin... DONALD KNUTH USING MAC?????
@marcialabrahantes3369
@marcialabrahantes3369 11 лет назад
Tau is better
@LiberyandTruth
@LiberyandTruth 10 лет назад
This is awful...He moves too fast and the way he talks is all jumbled upon and not clear enough
@paulfunigga
@paulfunigga 10 лет назад
lol, yeah
@iNuchalHead
@iNuchalHead 9 лет назад
It would be more clear on punch cards.
@1cy3
@1cy3 10 лет назад
lol i never imagined he'd be so bad at talking. i guess you can't be good at everything
@yunusaydin97
@yunusaydin97 10 лет назад
He isn't bad at talking; it's just because of his age.
@Ahabite
@Ahabite 9 лет назад
And possibly the result of a life of thinking and pondering over speaking... (and possibly speaking about thinking). He also probably has thoughts and ideas intrude mid-speech and considers them more an instant, ergo, stuttering or odd speech patterns
@1cy3
@1cy3 9 лет назад
Ahabite oh yeah what's definitely happening is he changes he mind about what he wants to say 20+ times a sentence and therefore can't get any words out. tons of people have gone through a phase of being like that until we learned how to deal with it and become better speakers. to become a better speaker you do not need to become a worse thinker. in fact, i'd say both skills lead to one another.
@mithundalal1903
@mithundalal1903 7 лет назад
Sounds like he's been an uhmmer his whole life.
@142drc
@142drc 7 лет назад
listen to one of his older lectures, and you'll find yourself mistaken 1cy3
@kaptenwikstrom1840
@kaptenwikstrom1840 8 лет назад
I am sorry Mr. Knuth but this was painful to listen to. You are a true genius but please stick with writing books.
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