Terrence Tao - Structure and Randomness in the prime numbers, UCLA

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Archy Guo

13 жыл бұрын

Пікірлер: 129

@blobbylee9430 2 жыл бұрын

this may be the longest 144p quality video I will ever watch in my life.

@tomoerlemans010 10 жыл бұрын

A genius and a great teacher, not something you often find in one person.

@listsforthecurious 3 жыл бұрын

And humble. It is perhaps his most endearing quality given his fame and ability. :)

@Manhunternew 9 күн бұрын

Could have explained some things better

@aleratz 2 жыл бұрын

I love his light sense of humor

@MOSP14 2 ай бұрын

When my ego tricks me into thinking I’m smart, I like to watch a Terrence Tao lecture and remind myself of my deep stupidity and ignorance.

@MikhailKalashnikovMiG 10 жыл бұрын

just listen to the speed and mannerisms at which he talks.

@yyyy2999 10 жыл бұрын

This lock solution is genius, I'll finally be able to apply this in real world shipping of boxes, thanks math!

@probablynotsatanic66 9 жыл бұрын

The goal of math is to study logical structure. If it can be explained logically, math will find an explanation. Why should we skimp out on logical explanation simply because we don't believe one particular case to be immediately practical? We will have holes in our fundamental knowledge if we cherry pick the mathematical problems we deem to be the most immediately practical. It exists in the structure of math, and math doesn't advertise itself as being practical (your teachers lied). So if people would just fuck off with their snide remarks because they failed trigonometry in high school, that would be great.

@braydenmassa31 7 жыл бұрын

Math is important to learn for countless reasons but here is one. If you state it simply, Science is the basis of everything. Any single thing that happens around us can be explained using science (or it is something that scientists have not learned how to explain). Regardless, Biology and Chemistry and Physics is happening all around us. What is chemistry? It is applied physics. The physics and the ways the atoms move and work and react is all applied from the basic concepts of physics. What is physics? Applied calculus. The measurements and equations and formulas all stem back to calculus, or lower level math classes with more simple cases. Even higher level math classes. Regardless, what is Calculus? Calculus is strictly just applied Geometry. But then even deeper, what is Geometry? Geometry is really just applied algebra, applying it to shapes and angles and created postulates and theorems dependent on said observations of how the numbers and shapes interact with each other. What is algebra? Algebra is just how you apply basic arithmetic. Little stuff like 2+2, multiplication, anything of the sort. Very basic math. However, this very basic math leads to a better understanding of each level above it. This can lead to every single branch of Science that we know of, and therefore, you can say that every single thing that happens around us and as an effect of us, can be explained with numbers. Basic arithmetic. So there is no reason Math should be considered pointless, because math is the reason we are able to live and function as we do, and it is the reason scientists are able to prove things and create things that change our world and way of life forever. Math is the key to the future, some of us just have a hard time locating the door.

@Manhunternew 9 күн бұрын

@@braydenmassa31math is not real, just a story we tell. But it's not the actual reality. If it was, animals that don't use math would not exist. It is a way to explain reality, but not reality itself

@maloosecat123 Ай бұрын

This must've been what all the great mathematicians were like --Gauss, Euler, Ramanujan..etc

@akashpatalwanshi1735 5 жыл бұрын

This video shows how vast Mathematics is

@SamuelHauptmannvanDam 7 жыл бұрын

Thanks for uploading! :D

@bostoned 8 жыл бұрын

Who made the brilliant decision to show audience members when he was talking about what was being displayed on the projector??

@TravelWorld1 7 жыл бұрын

Terence Tao is the greatest living Mathematician.

@ivanjelenic5627 2 жыл бұрын

I'm not quite sure about that.

@bakitnongdhar8064 2 жыл бұрын

@@firstnamesurname5376 Gauss

@HamzaAleem_Math Ай бұрын

@@bakitnongdhar8064 he is a father of gauss

@MatejTymes 10 жыл бұрын

The problem with the three-pass protocol (as described in the video) is that eve (who is in the middle) could pretend that she is bob (intended receiver) and actually never deliver the box to him. instead she could apply her own lock and send it back to alice (original sender). once alice removes her lock, eve could obtain the content and bob would never receive anything. (this is called man in the middle attack)

@Shadowmere29 7 жыл бұрын

So how would one get around this in cryptography?

@kbr2001 7 жыл бұрын

Ishaan Sabnis -- Alice could ask Bob if he got the package and only send it back unlocked if so.

@antonottosson914 7 жыл бұрын

Public-key cryptography (which I think Tao mentioned, but did not explain) along with Public key certificates can pretty much solve this, and is how it is done a lot of the time in reality. It does however require a trusted third party, the Certificate Authority (CA). If you are interested in this, here are some good search words: Public-key cryptography, Public key certificate / Digital certificate, Certificate authority, Cryptographic hash function.

@phanomtaxskibididoodoo 2 жыл бұрын

No its called a pro gamer move.

@esoterrorhythm 11 жыл бұрын

What makes it beautiful is that there are all these unexpected and mysterious patterns in the integers.

@WillTalbot 8 жыл бұрын

what a great public lecture

@MrBibibip 7 жыл бұрын

2017 is a prime number .

@kevinzheng5168 7 жыл бұрын

Not only that, but 2017 * Pi is also a prime number and 2017 * e is also a prime number rounded to the nearest integer

@alastairbateman6365 3 жыл бұрын

TT may not know the millionth prime but he can get it in no more than 33 seconds along with the other 999,999 primes by downloading the free program 'PRECISE CALCULATOR'. It's brilliant!

@fourier07able 8 жыл бұрын

Look at how the prime structure possesses such remarkable characteristics with a few exceptions. Why? They are the partition of the integral numbers!

@joelcastellon9129 10 жыл бұрын

terence tao is like bruce lee of mathematics

@scMarth 8 жыл бұрын

+Joel Castellon That's racist

@Deguiko 7 жыл бұрын

Kirino Kousaka Then it proves the existence of harmless racism. Not saying racism is harmless though.

@CreativeVery 7 жыл бұрын

"is like"? He IS the Bruce Lee of mathematics.

@GA122T 7 жыл бұрын

Joel Castellon yes that's right!

@jenm1 2 жыл бұрын

@@Deguiko it’s not harmless. It perpetuates that the only connection Terence can have to another is due to expertise according to race. It segregates him and Bruce lee according to race rather than overall human connection

@fredgreen7287 7 жыл бұрын

6:12 1337? How subtle.

@maksenDK 6 жыл бұрын

hah. awesome

@davidwilkie9551 5 жыл бұрын

By this definition, if an integer is made up of primes like atoms make chemistry, then it should be easy to understand that atoms are quantum integers/integration, of one primary connection. Hardy's quotation has a general application, everyone should suspend belief and only accept provable reality, in the style of a Mathematical calculation of probability. Interference, from the primary - infinite connection of QM-Time generates phase-locked states of prime quantization conglomeration, axial-tangential orthogonality transverse division, by temporal superposition-singularity. It's Quantum duality-multiplicity, self-defining existence, so the principle of "interference" in-form-ation patterning by irrational e-Pi-i quantization, is the resolution of the real rational integers in a Quantum Field quality of connection, a wave-package in modules of primes and cofactors. Twin Primes result where log base two is resolved, it's 1-i, the Prime connection-reflection, and the same applies for other integer bases.., a non-random process of connected temporal/time duration existence.

@BlastinRope 2 жыл бұрын

...mmmmm, yes, indeed.

@fourier07able 8 жыл бұрын

BTW, I know very well how important has been Prof. Tao. Moreover, what a kind of person!

@fredericknightingale-hough6166 7 жыл бұрын

English isn't your first language, is it, dumb fuck?

@fourier07able 8 жыл бұрын

(SIC): "Each note that one hears (the zeroes of the Riemann zeta function) --this is the premise, corresponds (I think here one should write: there corresponds, even though I don't speak English) to a hidden pattern in the primes. (The "music of the primes".). Nice! But not trivial! I mean: "The music of the primes" is precisely the Riemann Hypothesis.

@him21016 2 жыл бұрын

Corresponds is correct

@enlongchiou 3 жыл бұрын

Structure in prime at every p^2(2^2, 3^2, 5^2...) by prime counting function p(n), p(7)-p(5)=p(7)-p(6)=1/2+(1-1/2)=1/3+(1-1/3)=p(13)-p(12)=p(13)-p(11)=4/15+(1-4/15)=p(31)-p(30)=p(31)-p(29)=1, p(31)=31-(31-1)*(1/2-1/6-1/10+1/30+1/3-1/15+1/5)+3-1=11 traditional sieve of Eratosthenes transform into p(31)=31*4/15 + (1-4/15)+2=11 realization of sieve of Eratosthenes(R.O.S.E), 4/15=(2-1)(3-1)(5-1)/(2*3*5) from Euler product.

@azzteke 3 ай бұрын

So what?

@loganhalleran 10 жыл бұрын

did I really just watch all of this..and i'm in high school..and it's the weekend...what am I doing with my life

@IGetWetInHD 8 жыл бұрын

for the bob and alice problem... they could just send the box, then send the key once the box has arrived and is in bobs possession

@JonathanGallantMills 8 жыл бұрын

good point :)

@MisterGreenGuy 7 жыл бұрын

Wont work, digitally. The info can be copied, then the key grabbed and used to open the copied data. Think of a lock box that can be cloned... all you need is a key.

@vodanh34 2 жыл бұрын

His thinking is faster than his speaking voice.

@dreamdiction 3 жыл бұрын

Bruce Lee kicks prime numbers into hospital.

@fourier07able 8 жыл бұрын

To consider 1 as a prime number is really an unacceptable triviality. Indeed a prime number require to *disjoint* conditions,

@hanoapuaa 2 жыл бұрын

Can someone do the math on how many times he said “umm”?

@NAZEER_._AHMAD 2 жыл бұрын

Every prime number satisfy:. ******[(n-2)!-1]÷n=whole number**** Where: n is natural number

@thaYESKIMO 2 жыл бұрын

everyone please read Number Games by Zachary K Hubbard.

@matthewphares4588 3 ай бұрын

You smokin that good shit!

@Fetrovsky 7 жыл бұрын

20:35 "...the most significant digits..." she actually sees the least significant digits. But I pick nits.

@thegovernment3653 6 жыл бұрын

But why do i smell my finger every time I scratch my rusty sheriff’s badge?

@TravelWorld1 7 жыл бұрын

Terence Tao tis he greatest living Mathematician.

@chilu46 4 жыл бұрын

How about the reclusive russian Grisha Perelman? He has solved some of the greatest problems in analytical geometry. Maybe Tao is the greatest living sociable mathematician.

@johnlee5952 6 жыл бұрын

Check digits

@tiffanyk4800 8 жыл бұрын

how could u learn math in such big class?? I took hida's number theory, only 3 :->

@funkduckfuck31 8 жыл бұрын

+mike wei it's a public lecture, not a class

@adammasse6027 10 жыл бұрын

What if bob locked his lock onto Alice's then Alice could unlock both locks by only unlocking her lock. Then it'd be a two level system instead of a three level system

@T3KTONIT 10 жыл бұрын

Yes but then if it's a 2 level system like you said, then it's pointless. because, let's say alice wanted to send the box to bob ,SO she locked the box, and sent it to bob, and bob locked his Lock onto alice's, now what? how are you going to open the box without alice's key?, and keep in mind that you're sending the box to the recipient(bob), not just sending it to bob so he can lock it and send it back to alice (the sender) ,i hope you understand me cuz i often have trouble explaining things..

@joshuabrucetaylor9897 9 жыл бұрын

Because Bob is the person who wants to receive the package from Alice.

@kingzilla9532 2 жыл бұрын

he talks in a way to seem Dumber than he is. prodigy very humble ^^ !

@alphabetacanton 7 жыл бұрын

Stop touching your chin Professor Tao!!

@ulagainesippavanbabuk2371 3 жыл бұрын

These are the hard way to getting prime numbers. I invent new method to find out t the prime numbers very easily .But I haven't studid any mathematics degree.What do I do? Anyone answer me ...

@BranEspin 2 жыл бұрын

You didn't

@ulagainesippavanbabuk2371 2 жыл бұрын

@@BranEspin I did.

@BranEspin 2 жыл бұрын

@@ulagainesippavanbabuk2371 show proof

@Mgaak 11 жыл бұрын

I try but I cant see the beauty of this kind of math.

@mariavecchi6826 9 жыл бұрын

couldn't she just send the box then send the key?

@travishummel8134 9 жыл бұрын

The box is like a number, so they (sometimes called Eve) could just copy the box. Then when the key comes (also a number) Eve can just open the copied box.

@mohamadal557 7 жыл бұрын

can any body tell me what's the importance of maths for a human being?

@mohamadal557 7 жыл бұрын

Midipara you are a stupid person. go calculate some numbers better for you.

@samb443 7 жыл бұрын

whats the importance of modern society for a human being?

@mohamadal557 7 жыл бұрын

Sam M modernity is not important, it's just a nice mask for society. the truth never needed technology.

@samb443 7 жыл бұрын

talking about modern society and you have the gall to mention modernity of all things the truth never needed technology. the truth desperately needs technology, humans cant search for the truth if they're too busy scrounging berries since agriculture is part of technology

@mohamadal557 7 жыл бұрын

Sam M if you see the value of this technology nowadays and the purpose of it you will definitely now that atheism and atheists are behind it convincing you that you can't live without technology and giving you false possibilities that God can't be the Creator. huh if you just look wisely you will understand that maths and physics are on top of all sciences including philosophy just for that reason, for that I absolutely against the rise of false "intelligence " . hope you understood.

@TheRealBubfield405 10 жыл бұрын

It's 40 minutes of listening to a mathematical genius, so I wouldn't say it's that bad. Unless you're totally uninterested in mathematics, but since you watched the whole video, I'm sure that's not the case.

@mikekeenanphd 7 жыл бұрын

This is, um, a little hard to listen to.

@guerrillaj 2 жыл бұрын

I didnt um... want to say anything but um... yea. Glad I was able to though

@apusapus71 Жыл бұрын

This man is so confused. Isn't it just simpler to say, 'The list of primes is endless because the lowest divisor greater than 1 of n! + 1 must be a prime number and must be greater than n'?

@mba2ceo 2 жыл бұрын

Let trained parrot ? WHAT has he invented ?

@jenm1 2 жыл бұрын

Do you even understand this stuff? Why does he need to invent anything? Not to mention, he has contributed to the mathematical field more than most mathematicians. And even if he didn’t invent anything, teaching and doing known maths advances technology. Accusing one of the smartest people on earth of being a grunt worker shows your idiocy

@mba2ceo 2 жыл бұрын

@@jenm1 Unless there is a END PRODUCT = useless trivia

@Jaime00008 10 ай бұрын

@@mba2ceo His mathematics contributed to better imaging in medical devices and other applications. He also says in the beginning that primes are used in encryption. Mathematics is never just useless trivia.