He's such a great teacher in a way that, despite his problems with the idiom (also he speaks too fast) and his obvious shyness, he can make very difficult math problems sound easier than they really are, also he makes you want to know more...
LOL. Reading the comments below make me giggle like Mr. Wiggles. All you retards trying to be subject matter experts when this guy is clearly a genius.
@MrDanielMaciag First, sorry about my english, I'm from Chile. Chess is a game that has very simple rules, is motonone, bored and not interesting for curious people. Kasparov was owned by a machine oh so pathetic game rules and players. You have no idea about this man and what he does, you have no idea about math and physics, nor the importance of applied math on technology and science, so don't speak shit fucking troll please..
Is his accent typically Australian? Frankly speaking I can understand Yorkshire accent and Cockney accent very well, apart from American English of course, But I don't quite follow him...
@talithin primes keep me up at night, and I'm stupid, but I spend a lot of time on them. I think this guy here, I don't know his formal title, should write a book for laymen about primes and encourage us to factor them on our own; maybe a game. It's mentally stimulating.
@returnoftheramble I'd recommend a wonderful book by Marcus du Sautoy titled "The Music of the Primes". You might also like to check some of his great lectures/talks on youtube as well as some bbc programs he's presented.
@talithin also p1+p2)+(p1Xp2) = prime. If and only if, p <=7or n <=8 Sometimes I can take a group of 3,4 primes and do the same thing like (p1+p2+p3+p4)+(p1Xp2Xp3Xp4)=prime
must read this. once u have started there is no turning back. a little 10 year old girl was raped and murdered in 1945. her body was not fund until 1947. then a boy last week read this and did not copy and paste this message. the de...ad girl appeared in his room haunting him and killed him. if you do not copy and paste this onto 10 videos 30 minutes the dead girl will appear in your room tonight and haunt you and kill you. well you better start to copy and paste to be saved
while I was trying, I came up with another kid math thing (like 4 of them this stay; I have cyanidephrenia) You can find the next square if you follow this pattern
First take the square that you know
3^2=9
Take the square root of 9
which is 3
Then add the next number, 4,
which is 3+4
Then add that total, 7, to the product of step 1, which is 9+7
@returnoftheramble you are taking n^2. then taking squre root it is n .addin n+1 with it gives n+(n+1)=2n+1.Now you are adding n^2 with 2n+1.which gives n^2+2n+1=(n+1)^2
@returnoftheramble This basically uses the fact that the difference between two consecutive square numbers in 2n+1: that is (n+1)^2 - n^2 = 2n+1 which you can prove by just opening the brackets on the left.
@talithin yeah, I like to find cluster of prime numbers in my spare time. I was trying to find them, and I came up with this instead. It's lame, but hey, it's what I do to prove I'm not retarded to evil nurses who don't even know their times tables (therefore, they are technically retarded).
good job, but it is already known.... sum of first n odd numbers is n^2.... what you did is nothing but that....
for eg, 1 = 1^2, 1+3 = 2^2, 1+3+5 = 3^2, 1+3+5+7 so essentially when you are adding the next number to n, which is n+1, you get 2n+1, which is nth odd number
I can't understand primes. I've spent hours with them and come up with a few equations to find them, but they drive me up the wall. I've nearly decided that it's impossible with the laws of multiplication bouncing like they do.
News Flash: The Largest Prime Number has escaped. Authorities briefly had it in custody, but it shattered the jailhouse to smithereens and stalked off into the night. If you see this Mathematical Monster, you are hallucinating! Get help immediately!
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read the beginning of the book "the road to reality" by Roger Penrose. He has a nice idea that explains it quite well i think.
basically its 3 different realms: physical reality / the universe, then what goes on in our mind (art, language, mathematics, science), and the realm of mathematics. what goes on in our mind is a subset of physical reality. physical reality is a subset of whats possible in mathematics. mathematics is a subset of the content of our minds.
Well, eventually it will go full circle, ideally it does. So for us there is not just one way to observe reality, but two. One is directly observing physical reality, and by doing this creating a mental image that matches aspects of reality. The second way is over mathematics into the natural sciences / physics. And then the famous drake equation tells you that the universe is probarbly full of life. Two ways to approach reality, thats more than just one.
As soon as humankind fully understands mathematics, and physics, we could go full circle. We would be able to estimate how many other civilisations are out there, and we would be able to communicate with them. When travelling space, we would know what we probarbly could find, and what we necessarily wont find. And we will be colonizers, also at that point we shouldnt be confined to one planet anymore.
so what i say is, if that idea by roger penrose is true, and its so difficult to completely solve in any real way that its more philosophical in nature, there can be no universe where mathematics isnt possible, and mathematics can only be possible in a universe.
then, even if there would be many universes, mathematis would be possible in every single one of them.
we could prove it theoretically, but it probarbly would involve completely understanding everything in physics.
look at my other comments as well, i also commented about this responding to the other person :)
basically i think it is plausible, and i assume, that universes cannot exist without mathematics. so no matter if there is life in a universe or not, there is mathematics in that universe and you can discover mathematics.
also, how can you have a universe without a set of laws of nature?
@kurtilein3 I don't know anything about the penrose trinity idea of physics-mind-math, but it is a bit fun to try to think what a universe without a set of laws of nature would be like. I'm thinking that universe would be totally random, with no structure.
it would not be random. The physical unverse is governed by the laws of nature, which are expressed in mathematics, following strict rules. Actually we first discover that physical reality follows certain rules, and later put the mathematics on top of it and see that it works. And mathematics is full of structure, in a fractal way, if you pick something, the more specific your pick is the more order there will be. And nature picks highly specific parts.
My name is Steven.I am 12 years old and have dark blonde hair.
NOW THAT YOU HAVE STARTED READING YOU MAY NOT STOP!!
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I like how he says there's a arithmetic progression of prime numbers out there of length 1 billion yet the longest sequence we've found has length 23. Not only that, this guy has proven that there are billions of arithmetic progressions of length exactly 1 billion?
That's unreal. This is like the equivalent of saying you've understood all of Shakespeare's works by merely examining the first word of just one of his plays (!)
1. go read his proof for it. He doesn't have the time in this to show you why. The short ones are examples. Then again if you didn't realize that the proof will will probably make absolutely no sense to you anyways ;/
2. you're comparing math to interpretive literature, which in itself is shaky, but then you go about doing it by terrible analogy. lul.
@Tiqerboy "I like how he says there's a arithmetic progression of prime numbers out there of length 1 billion yet the longest sequence we've found has length 23."
There is a proof of this...
Mathematics isn't experimental, the word "proof" does not entail the same thing as in the physical sciences. You do not need to find an arithmetic series of prime numbers of length 1 billion to be certain that it exists. After all, mathematics is essentially a human fabrication, it just has applications.
I'm try to figure out what he has proven. At 39:50, he has two arithmetic sequences of length 6 :
7, 37, 67, 97, 127, 157 (with spacing = 30)
7, 157, 307, 457, 607, 757 (with spacing = 150)
He says there are infinite number of arithmetic progression of length 6, but I don't understand the spacing. Both these sequences start at 7, but have different spacings. Do all 6-number progressions have to start at 7? A 6-number progression starting at a higher number, has a higher spacing?
@Tiqerboy haven't seen that part in the video yet, but i noticed the first 2 digits before 7, are multiplied by 5, 3x5=15, 6x5=30, 9x5=45 etc. hope it helps, but rarely so often does it, instead more questions.
not necessary. the theorem didn't give any information about spacing.
to state the theroem more explicily, given any natural number k, there exists some prime pk (may not be unique) such that all the elements in an arithmetic sequence starting from pk with k terms are all prime.
for instance when k=2, {2,3} is in A.S and all elements are prime. similary, one can also state that {5,7} is in A.S where all elements are prime. the starting point may not be unique.
@CrippledNasty is that supposed to be set theory? u retard this virgin is boring, do some physics at least hes jabbering on about stupid organizations, you can come up with quasinfinite nigga its all ones nigga its pi
@gen6k troll harder. i understand that your need to breach the boundaries of human civility is the reflection of the pain and suffering you internalize and form as abrasive and intentionally hurtful externalized behaviors. the harder you try to put others down, the more the world sees how weak you are, they see your hurt, but that has long been forgotten by the common civilized man, as it's a primitive emotional outburst no longer functional in modern times. but yeah, troll harder.
Physics is applied math. If you're so brilliant do the application yourself
This is a lecture specifically on primes. Not sure what you were thinking of when you clicked the video.
+1 for the faggots trolling even in these remote parts of youtube. How the fuck did you find this video anyways? I'm pretty sure Justin Bieber isn't tagged in it.
the retard likes primes. Gilgamesh, that for which you seek, you shall never find. Primes are for the gods, Gilgamesh. I'm going to try to find the relation of them between 1,10,100,1000. That's my next attempt.
News Flash: The Largest Prime Number has escaped. Authorities briefly had it in custody, but it shattered the jailhouse to smithereens and stalked off into the night. If you see this Mathematical Monster, you are hallucinating! Get help immediately!
Windows? Ok Dr. Tao, you are the smartest people on Earth (perhaps with exception of Dr. Perelman), but why using Windows, I aways imagine you as a Slackware guy.
I wish to have a half of Dr. Perelman's and Dr. Tao's intelligence. I can study and study, nights and nights awoken, but I will never reach even close to their minds. This is frustrating, the world is really unfair.
ucla want to fix it... I'm not an attention whore. I'm labeled. I think they should put my triangle on an entrance test. It makes scary things happen, but it's a tool.
Has anyone else seen the triangle? I'm not posting it here. School school isn't me. Im more into trades. I'm going to finish up college. I think I'm going to write a childrens math book. What ever happened didn't give me super powers but it made me more aware. Come on, someone else post an algorithm.
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Lol. This is why I'm going as a scientists. U can actually put your knowledge to work and help other people. Not write equations and numbers on a chalkboard all day long like a mathematician
compairing him to oiler? Wow either the presenter is full of crap or this kid is amazing. Not that great in public speaking but if he canbe as prolific and as significant as oiler than we are living amongst one of the goats (greatest of all time) of math
Is 30:05 correct? I think he made a mistake. Integer factorisation is not an NP-complete problem -- i.e. it doesn't matter if P = NP. Rather, it's an exponential time problem.
i.e. the problem belongs to the set EXTIME rather than NP-Complete.
If what he says is true then Shor's algorithm through quantum computation (which can factor large primes in polynomial time) would show that P=NP (the horror!). How can that be possible? NP-complete problems probably have no polynomial time solutions.
@SensiStarToaster Actually nope. I thought about this a bit. He's either wrong or he's making an unproven conjecture. The decision problem version of Integer factorisation is trivially in NP and is known to be in BQP because Shor's algorithm solves it in polynomial time, but it is not known whether it is NP-complete... Given that It is already in BQP, it is very unlikely that it is NP-Complete. It would lead to some surprising results if it was.
Probably due to the fact that majority of mathematicians and amateur mathematicians alike love to skip step by step procedures. It has something to do with if you understand the subject quite well then we don't have to remind you again the patterns, type of mindset. It also has something to do with mathematical maturity, if you have a strong background of primary and secondary mathematics, such as, calculus 1, 2, ..., geometry, ..., trigonometry, ..., algebra.
Here he is talking to people who are already far with math (high-school math student background), so he speaks quickly, allowing him to cover many subjects in less than an hour. On another level he'd of course have to slow down, involve the listeners with questions, examples etc.
I think he could do that too - though brilliant researchers are often not geared to teach, which could be a waste of their time.
I find it difficult to believe that the universe hasn't managed to find a way to make use of the unique properties of the prime numbers. Surely they're at work all around us like the complex numbers for example.
But math doesn't need the universe like the universe needs it. It's a weird sort of one way mutual exclusiveness.
If you pretend that ONLY AN EXAMPLE (over millions of species) could be a prove that prime numbers are tied to the cycle prey-predator it´s not only naive but stupid. Prime numbers is an abstract idea and existis only like a human bullshit (by the way i'am mathematician)
Chuck Norris tried to prove the Riemann Hypothesis and was killed. The PRIME suspect? Terry Tao because he has proved it :-) But seriously, Dr. Tao is one of the brightest minds in mathematics today.
@TheNexus Really? lets find out.... Genesis Ch.1:1 ; In the beginning God created the heavens and the Earth. 1: In the beginning = Time, 2: God created the heavens = Space, 3: ...and the Earth = Matter. Summery; In the beginning God created time, space, and matter (the basic composition of the known real universe) Want more? ok,
1: Time= past, present, future. 2: Space= height, length, width ( 3D physical universe) 3: Matter = solid, liquid, gas (physical science) God is a mathematician.
To the ones talking nonsense, you're not the person (T. Tao) people are watching above. Go do something of note, and then maybe others can also say nonsense about you.
I am no math genius, but I think that the behavior of the primes is more chaotic than random, like all things that originate from a singular point (in the case of numbers, infinite nothingness, or zero).
yeah I know. In actuality, I'm more like the kid who daydreams in the back of his calculus class. I watched this video in the futile hopes that Tao's brilliance would magically rub off upon me and I would become intelligent regarding numbers.
The prime sequence is based off of a sieve from the first 2 primes (2&3) : 2-4-2-4-2....with the only exception being a prime multiplied by a prime. Ex: 5,7,11,13,17,19,23, (25 = 5*5), 29,31,(35 = 5*7),37,41,43,47,(49=7*7),53,(55=5*11).You can use the arctangent of the reciprocal of the prime number to define the azimuth for these exceptions.
I can get within N of P(N) up to the 6 trillionth prime as an estimate does anyone know where I might find Nth terms of prime larger than the 6 trillionth prime so I can test my estimate in further depth. I also have a very efficient method for better predicting if a randomly generated large number is a prime or not.
My largest prime so far is 2060 digits long and would be hard to recognise with encryption cracking software but was not found with my new method as I have some work to do yet.
Thank you, UCLA, for posting this video. Terrence Tao and his work has further inspired me to pursue mathematics, I someday wish to come to UCLA to take courses or go to lectures under Mr. Tao.
He's such a great teacher in a way that, despite his problems with the idiom (also he speaks too fast) and his obvious shyness, he can make very difficult math problems sound easier than they really are, also he makes you want to know more...
Mekhaman 6 days ago
the bruce lee of mathematics
Kratos0909 2 weeks ago
I believe the professor is correct
geoffrey4392004 2 weeks ago
he even wears a futuristic sweater...
LDP060681 3 weeks ago
clever guy, needs to speak more slowly..... we're not all hyperspeed merchants.
LDP060681 3 weeks ago
Isn't he a standard asian?
Appleshaq 3 weeks ago
Terence sounds like Sam in Transformers II when he tries to tell his university class that Newton? or Einstein was wrong. XD
7913Daniel 4 weeks ago
Excellent subject & lecture. But prof.tao sounds like a gatling gun...
saivenkat7 1 month ago 3
Comment removed
saivenkat7 1 month ago
wtf is he saying man?
he speaks so fast!!
CataRemixDj 1 month ago
3 people represent some kind of subset that if I had some math wit, I would say it here.
findthecohens 2 months ago 3
LOL. Reading the comments below make me giggle like Mr. Wiggles. All you retards trying to be subject matter experts when this guy is clearly a genius.
wigglemaster5000 2 months ago
@MrDanielMaciag his iq is 220~230..
cerberusdest 2 months ago
@cerberusdest no.
sirkyan 1 month ago
@sirkyan google it
cerberusdest 3 weeks ago
@MrDanielMaciag First, sorry about my english, I'm from Chile. Chess is a game that has very simple rules, is motonone, bored and not interesting for curious people. Kasparov was owned by a machine oh so pathetic game rules and players. You have no idea about this man and what he does, you have no idea about math and physics, nor the importance of applied math on technology and science, so don't speak shit fucking troll please..
3dev 2 months ago
@MrDanielMaciag You have no idea how difficult upper div/grad level math is.
aznlalaland 3 months ago
my head hurts
memphis3106 3 months ago
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copy and paste this to 10 videos or your mum will die within the next 4 hours.....
(I really hate these but i actidently read it)....... jus do it
gokussj1022 3 months ago
Is his accent typically Australian? Frankly speaking I can understand Yorkshire accent and Cockney accent very well, apart from American English of course, But I don't quite follow him...
dawncoming 3 months ago
@dawncoming He's Australian so yes.
raydredX 3 months ago
why does everyone keep saying he's a bad speaker? I can follow him just fine
H2oRiz 4 months ago
The best Australian Mathematician, lives in America =( America steals everyone
Kingportable 4 months ago
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@Kingportable did you hear about money?
salroja 3 months ago
it's not so much that he's a bad speaker it's just that his microphone should have been louder
fyckthissht 4 months ago
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Una forma natural utilisima de rueda, a la cual que yo llamo ONUTORO, también debe ser útil para lo mental.
La forma de un simple "salvavidas" bien aplicada puede ser la llave de la evolución universal. Ver fotos en la website:
webspace.webring.com/people/or/ramonetriu/onutoro.html
rrriu 4 months ago
Brilliant guy; not a great speaker.
starburzt 5 months ago
How is he so smart!?
96tomlinson 5 months ago
@talithin primes keep me up at night, and I'm stupid, but I spend a lot of time on them. I think this guy here, I don't know his formal title, should write a book for laymen about primes and encourage us to factor them on our own; maybe a game. It's mentally stimulating.
returnoftheramble 5 months ago
@returnoftheramble I'd recommend a wonderful book by Marcus du Sautoy titled "The Music of the Primes". You might also like to check some of his great lectures/talks on youtube as well as some bbc programs he's presented.
talithin 5 months ago
@talithin can you factor any? It's fun. They should turn it into a game. In fact, I'm going to.
returnoftheramble 5 months ago
@talithin like (2+3)+(2X3)=11
(5,7) = 47 Y
Sorry to take up so many comments. For some reason, it wouldn't let me post the original even though it was under the number count.
returnoftheramble 5 months ago
@talithin also p1+p2)+(p1Xp2) = prime. If and only if, p <=7or n <=8 Sometimes I can take a group of 3,4 primes and do the same thing like (p1+p2+p3+p4)+(p1Xp2Xp3Xp4)=prime
2,3,5,7 (Primes)
returnoftheramble 5 months ago
@talithin 9+2(n+9) = prime for numbers 1,2,3,5,7,9, which generates 29, 31,33,37,41,43.
returnoftheramble 5 months ago
I wonder if he gets any chicks.... i know i would go after him... knowledge is sexy.
yahboy25 5 months ago
@yahboy25 He does have a wife and a kid.
frangossauro 5 months ago
@frangossauro Good! his kid must be very smart then!
yahboy25 5 months ago
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must read this. once u have started there is no turning back. a little 10 year old girl was raped and murdered in 1945. her body was not fund until 1947. then a boy last week read this and did not copy and paste this message. the de...ad girl appeared in his room haunting him and killed him. if you do not copy and paste this onto 10 videos 30 minutes the dead girl will appear in your room tonight and haunt you and kill you. well you better start to copy and paste to be saved
80sgirly101 5 months ago
while I was trying, I came up with another kid math thing (like 4 of them this stay; I have cyanidephrenia) You can find the next square if you follow this pattern
First take the square that you know
3^2=9
Take the square root of 9
which is 3
Then add the next number, 4,
which is 3+4
Then add that total, 7, to the product of step 1, which is 9+7
The total is 16 and that's the answer to 4^2
returnoftheramble 7 months ago
@returnoftheramble you are taking n^2. then taking squre root it is n .addin n+1 with it gives n+(n+1)=2n+1.Now you are adding n^2 with 2n+1.which gives n^2+2n+1=(n+1)^2
DrimitPattanayak 6 months ago
1:n^2
2 :n
3: n+(n+1)=2n+1
4:n^2+2n+1=(n+1)^2
DrimitPattanayak 6 months ago
@returnoftheramble This basically uses the fact that the difference between two consecutive square numbers in 2n+1: that is (n+1)^2 - n^2 = 2n+1 which you can prove by just opening the brackets on the left.
talithin 5 months ago
@talithin yeah, I like to find cluster of prime numbers in my spare time. I was trying to find them, and I came up with this instead. It's lame, but hey, it's what I do to prove I'm not retarded to evil nurses who don't even know their times tables (therefore, they are technically retarded).
returnoftheramble 5 months ago
@returnoftheramble
good job, but it is already known.... sum of first n odd numbers is n^2.... what you did is nothing but that....
for eg, 1 = 1^2, 1+3 = 2^2, 1+3+5 = 3^2, 1+3+5+7 so essentially when you are adding the next number to n, which is n+1, you get 2n+1, which is nth odd number
050138 3 months ago
@050138 you're forgetting that 3+7 =19 and 7-54=pie
iliketv23 3 months ago
@050138 all math is general knowledge. I'm well aware of this.
returnoftheramble 3 months ago
I can't understand primes. I've spent hours with them and come up with a few equations to find them, but they drive me up the wall. I've nearly decided that it's impossible with the laws of multiplication bouncing like they do.
returnoftheramble 7 months ago
In the sieve analogy - in reality you have to tare or discount the weight of the box, is there a corollary in mathematics ?
ahshabazz 7 months ago in playlist Science, Math, etc.
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Prime Numbers in the Quran point to 31 events to hit Earth Jan-Nov 2012 each lasting 4 days and sweeping the Globe 4 times along 31 latitudes.
Most places of worship will become safe havens so we may finally realize that we all worship the same ONE GOD regardless of religious flavor.
Read the evidence at heliwave.com.
Validate it and spread it now, not when its too late.
Be a guiding light!
Ali Adams
God > infinity
pureprimes 8 months ago
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News Flash: The Largest Prime Number has escaped. Authorities briefly had it in custody, but it shattered the jailhouse to smithereens and stalked off into the night. If you see this Mathematical Monster, you are hallucinating! Get help immediately!
lexinaut 8 months ago
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Excellent video. Anyone looking to purchase electronics and/or computers while at the same time supporting a worthy cause? Visit my channel for the link. Thank you.
treasuretroveofmath 8 months ago in playlist mathematics
@easttiger2010
except my assertion only deals with what the primes can be expressed as not what they cannot be expressed as.
i said primes can be expressed by the sum of one prime
this is true
i NEVER said primes can can only be expressed by the sum of ONE prime more logic plzzzzzzzzzzzzz
appppppppple 8 months ago
Hello. Equasions are already there?=YES= We only discover them?
We do not make the Maths?
But
Maths is Behind Every last thing?=YES
So. How does the big Bang Make the maths?=It does not.
How does the big Bang Make a Uniform universe?=It does?
The Maths are in the Big Bang Or Bangs ,how can this be? = If we are discovering them. Who left them for us to Discover?
Nope. i Cannot owrk this one out? mathematicians can you work that one out for me Please???
lordlugworm 8 months ago
@lordlugworm you're dumb
tothdtoth 8 months ago
@lordlugworm Maybe mathematicians can not answer that.
Big bang is in the realm of physics.
A physics reasoning could be that our big bang is one of infinite big bangs (see multiverse).
Maybe we exist in a universe where math works because we could not exist in a universe without math.
Just like we live on land and not under water, because we need to breathe air and not water.. (see anthropic principle)
a575981735977018 7 months ago
@a575981735977018
read the beginning of the book "the road to reality" by Roger Penrose. He has a nice idea that explains it quite well i think.
basically its 3 different realms: physical reality / the universe, then what goes on in our mind (art, language, mathematics, science), and the realm of mathematics. what goes on in our mind is a subset of physical reality. physical reality is a subset of whats possible in mathematics. mathematics is a subset of the content of our minds.
kurtilein3 7 months ago
@kurtilein3 physics<mind<math<physics... sounds like he's going full circle there, lol.
I sorta liked his "Emperors new mind" (although maybe a bit too much "talking" for my taste).
And 1100 pages, I don't think I will read it this year...
a575981735977018 7 months ago
@a575981735977018
Well, eventually it will go full circle, ideally it does. So for us there is not just one way to observe reality, but two. One is directly observing physical reality, and by doing this creating a mental image that matches aspects of reality. The second way is over mathematics into the natural sciences / physics. And then the famous drake equation tells you that the universe is probarbly full of life. Two ways to approach reality, thats more than just one.
kurtilein3 7 months ago
@a575981735977018
As soon as humankind fully understands mathematics, and physics, we could go full circle. We would be able to estimate how many other civilisations are out there, and we would be able to communicate with them. When travelling space, we would know what we probarbly could find, and what we necessarily wont find. And we will be colonizers, also at that point we shouldnt be confined to one planet anymore.
kurtilein3 7 months ago
@a575981735977018
so what i say is, if that idea by roger penrose is true, and its so difficult to completely solve in any real way that its more philosophical in nature, there can be no universe where mathematics isnt possible, and mathematics can only be possible in a universe.
then, even if there would be many universes, mathematis would be possible in every single one of them.
we could prove it theoretically, but it probarbly would involve completely understanding everything in physics.
kurtilein3 7 months ago
@lordlugworm
look at my other comments as well, i also commented about this responding to the other person :)
basically i think it is plausible, and i assume, that universes cannot exist without mathematics. so no matter if there is life in a universe or not, there is mathematics in that universe and you can discover mathematics.
also, how can you have a universe without a set of laws of nature?
kurtilein3 7 months ago
@kurtilein3 I don't know anything about the penrose trinity idea of physics-mind-math, but it is a bit fun to try to think what a universe without a set of laws of nature would be like. I'm thinking that universe would be totally random, with no structure.
a575981735977018 7 months ago
@a575981735977018
it would not be random. The physical unverse is governed by the laws of nature, which are expressed in mathematics, following strict rules. Actually we first discover that physical reality follows certain rules, and later put the mathematics on top of it and see that it works. And mathematics is full of structure, in a fractal way, if you pick something, the more specific your pick is the more order there will be. And nature picks highly specific parts.
kurtilein3 7 months ago
i got a conjecture
all primes can be expressed as the sum of one prime
LOLOL
FIELD MEDAL FOR ME PLZ
appppppppple 9 months ago
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easttiger2010 8 months ago
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easttiger2010 8 months ago
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My name is Steven.I am 12 years old and have dark blonde hair.
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whateffbitch90 9 months ago
@whateffbitch90 how do you have internetz :o
MrFlashray 9 months ago
what he think for normal things may for others a little bit diffficult.
we need rather some stupid professors,so all can pass
the exsams.
zqdz123 9 months ago
terence tao=power tool
nosyt87 9 months ago
He's even smarter than sheldon D:
Totyen 9 months ago
GENIUS
IT WAS VERIFIED HE HAS AN IQ OF 230 AND HE DID IT AT A LATE AGE.
WavesOfTrolls 9 months ago
just opened this video, googeling Terence Tao after reading in our local news he is the smartest person in the world with IQ 230 confirmed.
thelycandraven 9 months ago
Comparisons to Euler and Gauss...how does that not fuck with your head. The comparisons are deserved though.
ThisSentenceIsFalse 9 months ago
College courses at 9? Holy shi..
TheRadicalBEAST 10 months ago
I like how he says there's a arithmetic progression of prime numbers out there of length 1 billion yet the longest sequence we've found has length 23. Not only that, this guy has proven that there are billions of arithmetic progressions of length exactly 1 billion?
That's unreal. This is like the equivalent of saying you've understood all of Shakespeare's works by merely examining the first word of just one of his plays (!)
Tiqerboy 10 months ago
@Tiqerboy
1. go read his proof for it. He doesn't have the time in this to show you why. The short ones are examples. Then again if you didn't realize that the proof will will probably make absolutely no sense to you anyways ;/
2. you're comparing math to interpretive literature, which in itself is shaky, but then you go about doing it by terrible analogy. lul.
sec7or13 10 months ago
@Tiqerboy "I like how he says there's a arithmetic progression of prime numbers out there of length 1 billion yet the longest sequence we've found has length 23."
There is a proof of this...
Mathematics isn't experimental, the word "proof" does not entail the same thing as in the physical sciences. You do not need to find an arithmetic series of prime numbers of length 1 billion to be certain that it exists. After all, mathematics is essentially a human fabrication, it just has applications.
DavidAlanRogers 9 months ago
@Tiqerboy The Tao-Green Theorem uses an existence proof; it doesn't give a way to construct these progressions but it says they exist.
rmhism 9 months ago
I'm try to figure out what he has proven. At 39:50, he has two arithmetic sequences of length 6 :
7, 37, 67, 97, 127, 157 (with spacing = 30)
7, 157, 307, 457, 607, 757 (with spacing = 150)
He says there are infinite number of arithmetic progression of length 6, but I don't understand the spacing. Both these sequences start at 7, but have different spacings. Do all 6-number progressions have to start at 7? A 6-number progression starting at a higher number, has a higher spacing?
Tiqerboy 10 months ago
@Tiqerboy haven't seen that part in the video yet, but i noticed the first 2 digits before 7, are multiplied by 5, 3x5=15, 6x5=30, 9x5=45 etc. hope it helps, but rarely so often does it, instead more questions.
CrippledNasty 10 months ago
@Tiqerboy
not necessary. the theorem didn't give any information about spacing.
to state the theroem more explicily, given any natural number k, there exists some prime pk (may not be unique) such that all the elements in an arithmetic sequence starting from pk with k terms are all prime.
for instance when k=2, {2,3} is in A.S and all elements are prime. similary, one can also state that {5,7} is in A.S where all elements are prime. the starting point may not be unique.
fuckshitass911 10 months ago
at 22:21 tao says .0002% but the error was .00002%. I corrected terry tao!
sean95117 10 months ago
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Tiqerboy 10 months ago
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Tiqerboy 10 months ago
i like how hes acting all brilliant, but talking about garbage that no one really likes
gen6k 10 months ago
@gen6k by no one, do you mean, you? and with that standard of thought, you = no one. opinion rejected, move along.
CrippledNasty 10 months ago
@CrippledNasty is that supposed to be set theory? u retard this virgin is boring, do some physics at least hes jabbering on about stupid organizations, you can come up with quasinfinite nigga its all ones nigga its pi
gen6k 10 months ago
@gen6k troll harder. i understand that your need to breach the boundaries of human civility is the reflection of the pain and suffering you internalize and form as abrasive and intentionally hurtful externalized behaviors. the harder you try to put others down, the more the world sees how weak you are, they see your hurt, but that has long been forgotten by the common civilized man, as it's a primitive emotional outburst no longer functional in modern times. but yeah, troll harder.
CrippledNasty 10 months ago
@CrippledNasty did you get this from the bible?
gen6k 10 months ago
@gen6k "no one"
The lecture hall is full.
Who the fuck are you?
Who the fuck do you think he is?
Physics is applied math. If you're so brilliant do the application yourself
This is a lecture specifically on primes. Not sure what you were thinking of when you clicked the video.
+1 for the faggots trolling even in these remote parts of youtube. How the fuck did you find this video anyways? I'm pretty sure Justin Bieber isn't tagged in it.
sec7or13 10 months ago 2
@sec7or13 i lol'd at ur pwnage of gen6k, the so-called "faggot" :D
KennyWooProductioN 9 months ago
@CrippledNasty you owned that troll nicely. well done
VanMedia 10 months ago
Love the analogies. A lot of brilliant math minds fail to do this and so nobody understands what the hell they're talking about.
PrUnEJuIcEtHeThIrD 10 months ago
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ShaheinThoughts 11 months ago
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ShaheinThoughts 11 months ago
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ShaheinThoughts 11 months ago
This guy is so cool! :D
freemusicblogg 11 months ago
smart guy, but this talk would be much better if he could stand still and stop fidgeting throughout!
arminask 1 year ago
When Chuck Norris needs math lessons, he goes to Tao
Blazen1212 1 year ago 2
It's funny how he doesn't have an Aussie accent
alquiora 1 year ago
the retard likes primes. Gilgamesh, that for which you seek, you shall never find. Primes are for the gods, Gilgamesh. I'm going to try to find the relation of them between 1,10,100,1000. That's my next attempt.
returnoftheramble3 1 year ago
He is so shy
lauratwilight1 1 year ago
2 people watched the lecture upside down)))
qwefcas 1 year ago
Tao is Chuck Norris's math teacher.
Warphaker 1 year ago
Is he Japanese?
MrNuhYamin 1 year ago
@MrNuhYamin He's Chinese Australian.
sphinxwt 1 year ago
can't believe this guy was born in the small city of Adelaide where I'm from :O
RoXas1093 1 year ago
ASIAN ARE WAY BETTER THAN NIGGAZ
TheCockyCunts 1 year ago
@TheCockyCunts
niggaz? what does this have to do with math problems. people say the stupidest things sometimes LOL
tanio12 1 year ago
News Flash: The Largest Prime Number has escaped. Authorities briefly had it in custody, but it shattered the jailhouse to smithereens and stalked off into the night. If you see this Mathematical Monster, you are hallucinating! Get help immediately!
lexinaut 1 year ago
Windows? Ok Dr. Tao, you are the smartest people on Earth (perhaps with exception of Dr. Perelman), but why using Windows, I aways imagine you as a Slackware guy.
Maidhros 1 year ago
This has been flagged as spam show
I wish to have a half of Dr. Perelman's and Dr. Tao's intelligence. I can study and study, nights and nights awoken, but I will never reach even close to their minds. This is frustrating, the world is really unfair.
Maidhros 1 year ago
Tao is the dumbest person in the world)))
MrAsiansunite 1 year ago
a^p = 1 (mod p)
joejacksonriley 1 year ago
ucla want to fix it... I'm not an attention whore. I'm labeled. I think they should put my triangle on an entrance test. It makes scary things happen, but it's a tool.
returnoftheramble3 1 year ago
Has anyone else seen the triangle? I'm not posting it here. School school isn't me. Im more into trades. I'm going to finish up college. I think I'm going to write a childrens math book. What ever happened didn't give me super powers but it made me more aware. Come on, someone else post an algorithm.
returnoftheramble3 1 year ago
9 plus 2(nplus9)=prime 29 31 33 37 41 43 counting numbers is what n is. 1=29
returnoftheramble3 1 year ago
I have a few. It became a hobby for awhile.
returnoftheramble3 1 year ago
Can you pelase try and make the next recording in sterio. I cannot stand listening to mono-sound.
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perplexfraction 1 year ago
If I were to ever become a math prof., I'd really look forward to saying what Tao said at 40:26, lol.
oryxfreeride 1 year ago
Perhaps the most important discovery in prime number sieving since Eratosthenes.
Google search on "primes demystified"
spiritfulness 1 year ago
His brilliance is beautiful. But like many great mathematicians he is a terrible communicator - gabbles too fast
ukguytemp 1 year ago
shouldn't it be "Reductio ad absurdUm"?
Too late to correct now, but still it might be worth mentioning
johanhendriks 1 year ago
Lol. This is why I'm going as a scientists. U can actually put your knowledge to work and help other people. Not write equations and numbers on a chalkboard all day long like a mathematician
SgtGizmo23 1 year ago
@SgtGizmo23 too think mathematicians have never helped anyone is extremely arrogant.
TheKturner05 1 year ago
Let's leave the religion nonsense for non-intellectual discussions
TheFunnybone 1 year ago 2
compairing him to oiler? Wow either the presenter is full of crap or this kid is amazing. Not that great in public speaking but if he canbe as prolific and as significant as oiler than we are living amongst one of the goats (greatest of all time) of math
karmatik1 1 year ago
@karmatik1Although its pronounced Oiler, Its written Euler. Not Oiler.
DKMGfan 1 year ago
I tried the click the information bar at the beginning of the video thinking it was an advertisement. Damn you Google!!!
aznxkigga 1 year ago
he should write a book. "The Tao of Mathematics" :D HAHAHHAHAHAHA!
rlinfinity 1 year ago
Is 30:05 correct? I think he made a mistake. Integer factorisation is not an NP-complete problem -- i.e. it doesn't matter if P = NP. Rather, it's an exponential time problem.
i.e. the problem belongs to the set EXTIME rather than NP-Complete.
If what he says is true then Shor's algorithm through quantum computation (which can factor large primes in polynomial time) would show that P=NP (the horror!). How can that be possible? NP-complete problems probably have no polynomial time solutions.
rlinfinity 1 year ago
@rlinfinity was reading wikipedia and apparently it is an NP-complete problem so Tao is correct it seems.
SensiStarToaster 1 year ago
@SensiStarToaster Actually nope. I thought about this a bit. He's either wrong or he's making an unproven conjecture. The decision problem version of Integer factorisation is trivially in NP and is known to be in BQP because Shor's algorithm solves it in polynomial time, but it is not known whether it is NP-complete... Given that It is already in BQP, it is very unlikely that it is NP-Complete. It would lead to some surprising results if it was.
rlinfinity 1 year ago
nice camera work at 19:30
T3st1fy 1 year ago
Why didn't Alice just mail the locked box and then mail the key.
shallbeagain 1 year ago
@shallbeagain thats what i thought as well, mail the box, then mail the key afterwords
ilikechiks100 1 year ago
@shallbeagain Because the "eavesdropper" can then retrieve both the box and the key by intercepting both packages, and can consequently open the box.
Zelaron 1 year ago
This has been flagged as spam show
Asians >> Niggers
LogicalFlawDetector 1 year ago
this man is the worst teacher
he may be good at his subject, but he is not good at teaching
kikkom4n 1 year ago 2
Probably due to the fact that majority of mathematicians and amateur mathematicians alike love to skip step by step procedures. It has something to do with if you understand the subject quite well then we don't have to remind you again the patterns, type of mindset. It also has something to do with mathematical maturity, if you have a strong background of primary and secondary mathematics, such as, calculus 1, 2, ..., geometry, ..., trigonometry, ..., algebra.
PatrickLars 1 year ago
its not so much the fact that he skips steps
its the idea he talks so incredibly quickly
kikkom4n 1 year ago
@kikkom4n "...he is not good at teaching ..."
Here he is talking to people who are already far with math (high-school math student background), so he speaks quickly, allowing him to cover many subjects in less than an hour. On another level he'd of course have to slow down, involve the listeners with questions, examples etc.
I think he could do that too - though brilliant researchers are often not geared to teach, which could be a waste of their time.
sormu16 1 year ago
I find it difficult to believe that the universe hasn't managed to find a way to make use of the unique properties of the prime numbers. Surely they're at work all around us like the complex numbers for example.
But math doesn't need the universe like the universe needs it. It's a weird sort of one way mutual exclusiveness.
MadaxeMunkeee 1 year ago
Yes -- I have the idea that prime numbers affect the way molecules fold, RNA, DNA etc
YentaY0 1 year ago
Very interesting lecture. Seems like he's kinda sad about the fact that there's so much advanced theory/results he's not allowed to talk about.
silep 1 year ago
At 38:05 Dr. Tao starts to talk about Green-Tao Theorem (2004)
KemptonLam 1 year ago
what the fuck
Akito700 1 year ago
me likey prime numbers
knabbers 1 year ago
If you pretend that ONLY AN EXAMPLE (over millions of species) could be a prove that prime numbers are tied to the cycle prey-predator it´s not only naive but stupid. Prime numbers is an abstract idea and existis only like a human bullshit (by the way i'am mathematician)
BoyStreet93 1 year ago
Prove to us here that you are indeed somewhat a "Mathematician".
PatrickLars 1 year ago
he speaks very fast ....
a1351235 2 years ago
he does speak very fast, he's a genius
gatoradeee 1 year ago 8
@gatoradeee he's more than a genius. HE IS GOD!
rmhism 10 months ago
@rmhism Please, let's keep all religious fanatics away from this video.
Totyen 9 months ago
Great job Dr. Tao and thanks UCLA!
GaryPansey 2 years ago
This has been flagged as spam show
Which i won't talk about!
MrSeanMDickinson 2 years ago
Does he ever teach undergrad courses?
jaeshim1 2 years ago
Chuck Norris tried to prove the Riemann Hypothesis and was killed. The PRIME suspect? Terry Tao because he has proved it :-) But seriously, Dr. Tao is one of the brightest minds in mathematics today.
Arycke 2 years ago
Does anyone know where i can get the presentation.
TheWarTorn 2 years ago
damn I have to say that hwn000's explanations and adamant positions are quite compelling. I like his responses. Very well said.
robbynmelendez 2 years ago
It's too bad he wasn't abused a child, then he would be cool, like Will Hunting. BTW, when is he going to develop schizophrenia and act like a nut?
iDraw3G 2 years ago
When Jesus needs math lessons, he goes to Tao.
TheNexus 2 years ago 44
@TheNexus Really? lets find out.... Genesis Ch.1:1 ; In the beginning God created the heavens and the Earth. 1: In the beginning = Time, 2: God created the heavens = Space, 3: ...and the Earth = Matter. Summery; In the beginning God created time, space, and matter (the basic composition of the known real universe) Want more? ok,
1: Time= past, present, future. 2: Space= height, length, width ( 3D physical universe) 3: Matter = solid, liquid, gas (physical science) God is a mathematician.
matrxmax 1 year ago
@TheNexus But when Tao needs peace and rest from the 'other' problems of life, he must go to Jesus. Teamwork, I guess. ;-)
simonsharry 1 year ago
@TheNexus There's a Chuck Norris reference in there somewhere...
DancingSpiderman 1 year ago
To the ones talking nonsense, you're not the person (T. Tao) people are watching above. Go do something of note, and then maybe others can also say nonsense about you.
BlueNile123 2 years ago
Order out of chaos!!
bushdidit2u911 2 years ago
I am no math genius, but I think that the behavior of the primes is more chaotic than random, like all things that originate from a singular point (in the case of numbers, infinite nothingness, or zero).
SuicidalSnare 2 years ago
yeah, you're no math genius.
davethoven 2 years ago
yeah I know. In actuality, I'm more like the kid who daydreams in the back of his calculus class. I watched this video in the futile hopes that Tao's brilliance would magically rub off upon me and I would become intelligent regarding numbers.
SuicidalSnare 2 years ago
The prime sequence is based off of a sieve from the first 2 primes (2&3) : 2-4-2-4-2....with the only exception being a prime multiplied by a prime. Ex: 5,7,11,13,17,19,23, (25 = 5*5), 29,31,(35 = 5*7),37,41,43,47,(49=7*7),53,(55=5*11).You can use the arctangent of the reciprocal of the prime number to define the azimuth for these exceptions.
alienearcandy 2 years ago
numbers are a human construct.
nnnninecoronas 2 years ago
Terence Tao's intellegence peaks where mine begins!
sz42781 2 years ago
I can get within N of P(N) up to the 6 trillionth prime as an estimate does anyone know where I might find Nth terms of prime larger than the 6 trillionth prime so I can test my estimate in further depth. I also have a very efficient method for better predicting if a randomly generated large number is a prime or not.
My largest prime so far is 2060 digits long and would be hard to recognise with encryption cracking software but was not found with my new method as I have some work to do yet.
wildchildplasma 2 years ago
Thank you, UCLA, for posting this video. Terrence Tao and his work has further inspired me to pursue mathematics, I someday wish to come to UCLA to take courses or go to lectures under Mr. Tao.
Arycke 2 years ago 2