Terry Tao, Ph.D. Small and Large Gaps Between the Primes

UCLA Department Of Mathematics
Terry Tao, Ph.D. Small and Large Gaps Between the Primes

[@onoyoudont]

I did some Maths subjects with him at university - I was 19 he was 12. He had a 150% workload and he blitzed them all.

[@alephnull4044]

lol

[@Oliver-bn7jt]

for real?

[@onoyoudont]

Oliver Cairn yep, for real

[@onoyoudont]

Oliver Cairn three years before that I was in my final year of high school I got a distinction inthe state Maths competition. He was 9 and topped the state, against 17 year olds. 1.8 million population in the state too.

[@coenpietersen272]

I remember that as well. What I found even more impressive was that he also dated the prettiest cheerleader.

[@captainsnake8515]

Fun fact about Terence Tao: when getting his PhD, he almost failed his “general” exam, which is the most important test of your PhD. If you fail the generals you get kicked out. He was in his early 20’s at the time and expected the test to be way easier than it was so he studied pretty lightly and spent a lot of time, I kid you not, staying up late playing video games. Even the smartest mathematician in the world once almost failed a test because he wanted to play video games.

[@radicalbarrel2729]

I think I got this

[@farhant.3214]

@@ashishkumarjha3851 yea, really motivating indeed, reading tao's writes in his blog :-D can't argue anymore, seems at other perspective things like myths must perish ._.

[@rpaddy93]

GRE most important test of a PhD? You clearly misunderstood something - the GRE is just an entry requirement, you take it BEFORE starting a PhD.

[@captainsnake8515]

Patrick Reichert apparently I misremembered the essay- he actually referred to them as “generals” in the essay. Thanks for telling me.

[@chrislombardi3968]

Yeah, he apparently had a deep Civilization addiction. I, too, saw my studies suffer due to Civ. And that is all that my mind has in common with T.T.

[@samsoleymani4989]

Prof. Tao once walked to my linear algebra class on the first day of school thinking that he is supposed to teach that class. He actually had prepared a syllabus not knowing that it was not his class. The look on his face was priceless when the actual professor walked in. Later I took a PDE class with him. He is brilliant teacher. He loves math and teaching math and he doesn't do it for the money

[@vulcrums]

typical genius..

[@umuta1969]

@@vulcrums He's inspiring too.. I appreciate having the chance to meet him and take one of his courses..

[@vulcrums]

@@umuta1969 i believe so.. you are so lucky and smart! i wish i can get into university.. lol.. too expensive for me..

[@umuta1969]

@@vulcrums I feel lucky too, thank you for the kind words. I honestly believe in today's world going to college is overpriced and overrated. We can learn a great many deal online, just like we are able to watch Mr. Tao here, giving a lecture. For me the main thing is to see people that are best in what they do, observe them in real life, and understand we are not that different and they are all human, which translates into inspiration. For some reason we are inclined to perceive them as almost mythological, super creatures and nothing like us. Which is in fact could not be farther from the truth. I am not lying when I say you can achieve anything and be who you are without going to college, or without doing a lot of stuff people see as requisites. All one needs is a plan, a determination to stick to it, and reach out to others that could help.

[@vulcrums]

@@umuta1969 you are right!

[@wtfskilz]

I love how mathematicians are honorable and always mention the names of those who found the formulas and such.

[@thedoublehelix5661]

Actually, a lot of formulas aren't named after who first discovered it. A lot of other formulas were named after the first European who discovered it.

[@captainkielbasa5471]

@@thedoublehelix5661 the first people to discover most things were European people, so you're right

[@thedoublehelix5661]

@@captainkielbasa5471 You don't know what you're talking about unfortunately.

[@captainkielbasa5471]

@@thedoublehelix5661 Modern mathematics and scientific fields are products of western thinkers... only a seething dishonest anti-white dreg wouldn't admit to this reality.

[@thedoublehelix5661]

@@captainkielbasa5471 What are you doing in the comments section of a math video you clearly wouldn't be able to understand?

[@VitoPlaysGames]

His brain seems to be processing faster than his mouth can speak.

[@MyLife-og2kr]

It's common in people with high IQ's. Terence just happens to be one of the top 3 people with the highest IQs in the world. With people with high IQ, their brain processes so much so fast that you will often find them saying "um" and "uh," because that is their brain trying to process words and their thinking process.

[@leeketteringham9180]

+Leng Lee therefore their high iq is actually a hinderance

[@MyLife-og2kr]

Eh.. some people say that Albert Einstein couldn't tie his shoes for the life of him, but that didn't stop him from building the atomic bomb. Therefore, I don't think that it is a hindrance, rather a gift.

[@beau5149]

+Lee Ketteringham You're being too general in saying hinderance. A fairer statement would be that sometimes the lapse between objective mental function and expression of said objective is hindered by the difference.

[@MyLife-og2kr]

So he practically built the atomic bomb, because without him the atomic bomb wouldn't be possible until centuries later. possibly. Haha

[@heyyoududeyesu]

I finished this video without understanding a single sentence. In fact, i dont even remember anything he have just said. Thumbs up, good video.

[@allyourcode]

I think the title describes very well... Basically, this addresses two related questions: How small is the minimum gap between consecutive primes that occurs infinitely often (i.o.)? How large is the gap between consecutive primes that occurs infinitely often? As to the first question, the best result so far is on the order of hundreds, but there is an conjecture (known as the "Twin Primes Conjecture") that it goes all the way down to 2. Zhang really started this ball rolling back in 2013 with his result that the answer must be < 70 million (BTW, this story appeared in the New York Times). As to the second question, there is an open conjecture that the strongest answer is K * log^2(p_n), but the best result is smaller than that (yet funnily enough, involves more logs). The conjecture comes from pretending that primes occur randomly.

[@madquiver2]

I made about 40 seconds in and he lost me.... and then he said "this is almost the most basic questions you can ask" and I lol'd! Terence Tao is my new hero! (I just had to edit this for a simple typo - fml etc)

[@Saphir__]

allyourcode Huh?

[@howardlam6181]

@@madquiver2 Well, if you're looking for prime numbers consecutively, you want to know how many numbers you have to look before you find one.

[@onerelic1337]

He might be smart, but hes not a good teacher...

[@mnlnl65091]

Years ago when I was a graduate student visiting UCLA. I sat in one of his PDE seminar. I am deeply shocked by the intuition he demonstrated in that one-hour talk. That is the difference between fields medalist and ordinary smart people.

[@NormReitzel]

Yah, you can clearly see that, even in this video.

[@thechemtrailkid]

Yes, it’s amazing to see. I think anyone who studies math for a while will have moments of it. It’s like having mathematical dead reckoning - knowing what avenues of arguments will be fruitful.

[@tranhuunghia2761]

@@thechemtrailkid yep, I often say it "Math sense". Btw it's also like the sense that some great football players perform such as Messi or Ronaldo, they seem to know where to stand or to run into and make it easy to do. We just can practice it to some levels but can't reach theirs 😢they're born to be the bests

[@jonallen7619]

@@tranhuunghia2761 lol, you can tell you don't know anything about football. You cannot compare it to math u dolt.

[@lugia8888]

Lol ok

[@pythagorasaurusrex9853]

Einstein: "Nothing in the universe can be faster than light." Tao: "Hold my brain."

[@jinjunliu2401]

@@efekaanaltas he'd stutter so much more, because his mouth physically can't move that fast

[@jayborisagar408]

Nothing is faster than your mind's idea

[@Iamrich00]

@@jayborisagar408 those are at the speed of light

[@allahm-ast3mnlywlatstbdlny164]

mashallah

[@dio8429]

@Selam jesse what the fuck are you talking about

[@johnrodgers4967]

It's interesting hearing someone speak a different language using the same words that I use.

[@skyd6692]

hahahaha 100%

[@rdjb9650]

I swear. At one point, I was hearing German.

[@miserableprodigy]

@@rdjb9650 HAHA

[@xxhahjexx6969]

@@rdjb9650 i am german and i dont really understand what he says

[@ChrisGoblinHD]

I laughed along with them at 4:51 so I can seem smart

[@bryang3443]

nah, more like to fit in

[@icd.f44.9]

*fake desperate laugh* I'm laughing because I understand that

[@xgenuch3062]

*laugh in mathematics*

[@wedeldylan]

All they're laughing at is how short Zhang's world record stood due to Tao, the speaker

[@drewb1263]

havnt even got to that part of the video but I gave a thumbs up like a nodding dog

[@alvaroooooo11]

This guy is teaching his teachers lol

[@peorakef]

*lecturing ;) in uni some profs still visit each other's special lectures bc they often lecture on original research so everyone will learn smth new

[@gerry5336]

is this a PhD viva? Seems that it is indeed a lecture

[@bruhbruh6670]

@@gerry5336in PhD viva there are like 4-5 people

[@gerry5336]

@@bruhbruh6670 you mean it is a viva or not?

[@Sidhharth_889]

@@gerry5336 he got his PhD when he was 20 this is not PhD viva

[@SalesforceUSA]

Tao is a very good communicator. Modest, fluent, responsive, considered, honest, and humorous. Very good person, a great scholar and a gentleman to the core.

[@Keralasha444]

Considerate *

[@NazriB]

Lies again? Polite Home Delivery Anal Gap

[@NazriB]

Lies again? Polite Home Delivery USD SGD

[@astro_penguin_]

Yes. I think his delivery style isn't for everyone but personally it works well for me. I love him

[@sorcererprince7670]

You lost me at..."hello"...

[@dondreytaylor8001]

lol same.

[@pankaj-kalra]

Sorcerer Prince Lolololollololollotrolol xD

[@TomSmeding]

Tao didn't even say "hello" in the video. Must've been a productive watch for you :)

[@mochiliao3048]

No "hello"...

[@itogaichi]

@@TomSmeding r/woooooosh

[@twolonet1118]

His mouth isnt fast enough for all his thoughts...

[@leeketteringham9180]

You'd think with his iq he'd know how to enunciate properly

[@fuzzbeta6634]

+elliot Melcer exactly what i was thinking

[@kingkoy7397]

I think he could've been calculated the prime gap of his tongue. It should be a great idea to understand what he's lecturing all about.

[@qball447]

+king koy Says the guy that can barely form proper sentences, and "been calculated" needs work mate.

[@2CSST2]

+Lee Ketteringham I guess he should know how to cook awesomely as well?

[@ggPescesgg]

He actually explains it in a way that pretty much anyone can follow, shows how brilliant he really is.

[@jonjetmore4018]

Please don't underestimate how dumb I am

[@pankakotakismegalomavropou3355]

Allahu akbar

[@bconni2]

yeah , "anyone" with an IQ over 140. but don't kid yourself, this level of mathematics only a small % of the population can grasp.

[@marcospark2803]

"Anyone" is too many people ...

[@LolLol-kj5yd]

I can’t

[@jasonzheng976]

I admire his teaching way, fast ,clear and talking with writing at the same time.

[@darioinsi9370]

Really you find his teachings clear? Really are not

[@pk7685]

21:03 I actually laughed there. No joke.

[@timotheebernard216]

Me too!

[@ninepuchar1]

Log log log log😂😂😂,trying to take breath

[@dsan0_338]

Because the end equation concludes with “a lot” of Logarithm (Log) which technically the math theorist finds himself into. Aka theres too many (Logs) in which the guy who’s solving the equation is “drowning” in.

[@iski4317]

Dsan0_ 3 no? It‘s glog glog glog as in glug glug trying to breathe

[@thelearner3962]

You must be really good in math then I guess.

[@tensevo]

...but can his brain run Crysis?

[@grievousrationality4664]

Great meme hahah

[@middu4228]

You are so dumb but haha

[@andrewfreeman88]

Haaaa nice call brother freeman..

[@gluxodin3523]

He might could if he had a nanosuit

[@Alessandro-xx9rg]

KING XD

[@Literally100]

I use this video to fall asleep comfortably. Listening to someone happily talking about numbers and scientific stuff just soothes me so well even though I do not comprehend the material.

[@scapedrag7893]

backhanded compliment

[@HeyHo-gn3zm]

@@scapedrag7893 Not really. If this was said about music, would you reply the same? If I didn't like the music I wouldn't listen to it but not long ago I was listening to something being played and it was a relaxing way to fall asleep.

[@scapedrag7893]

@@HeyHo-gn3zm a lecture is not intended to be relaxing and make you fall asleep lol

[@jellybean6902]

Teacher : Terry, stop talking in the class, do you want to come and teach them ? Terry : Hold my beer 🍺

[@NoName-xc6cg]

Teachers have stopped using this phrase because there is always that one kid to ruin it for them hahahaha

[@diabl2master]

Those of you saying "I can't pass this class", it's not a class. Lecture courses don't consist of running through the history of advances in a subject with only the bare-bones theory. Professors, researchers, and sometimes undergrads, will do open lectures where they'll give the gist of a topic to other mathematicians who may not have knowledge in that area. They won't necessarily go deep into theory, as is the case here. In the first 20 mins he's glossing over a ton of complex heavy machinery used to improve the bounds.

[@warsilver99]

What does the drowning number theorist say? loglogloglogloglogloglog...

[@rickpeng3603]

so hilarious LOL

[@johnchessant3012]

"Not a very good joke" - Terence Tao, 2014

[@IIIMajesty]

lmao

[@chidor6]

Warsilver freaking awesome lol

[@machiavellianintrospection4986]

tudu2001 10

[@tempusfuckit6380]

Protect this man at all costs. To have a gift like his and to want to teach new bright minds is how sciences progresses.

[@mathbbn2676]

The teaching of the teacher is very clear and clear to the students.

[@dimi_records]

Oh, wrong class

[@valiok9880]

lmao

[@eddie5720]

😂

[@usejasiri]

😂😂😂

[@gdash6925]

theres no wrong class

[@deidara_8598]

@@eddie5720 Your comment is rather interesting, because instead of containing an emoji character, it contains an svg referring to an image on youtube's servers. Did you make this comment on your phone? If so, it would be an interesting experiment to see if one could edit the package sent to youtube when making a comment to potentially upload any image as a comment.

[@jumbokevin]

7:25 "shave down the fuc...four" Good save there!

[@MikeyMinimo]

Jumbo Kevin studious

[@noluntas]

LOL

[@ayoubsbai6339]

You had me lmao

[@retardbuster1498]

Shave down the focking four

[@LeoYuanX]

OMG so funny

[@bishwanathmaji8987]

How quickness he is about his lecture on prime -gaps...so Experienced n brilliant on his topics...

[@SalesforceUSA]

We need more of Terry Tao on UCLA , I would listen to him for hours.

[@iamalive2826]

It is not a music bro

[@ahmedhaaqil3903]

@@iamalive2826 if one listens to music's for hours, that individual possesses a worrisome habitual behavior. Very unhealthy, and (uncalled for but..) stupid.

[@lucacianci5552]

@@ahmedhaaqil3903what😂

[@willrose5424]

Is fast forward on or do I have adhd? Who would pay for this? Only drug users would like this type of teaching.

[@haveatyou1]

Saddest comment in you tube

[@CA-qx1mv]

I hardly do well in math, and yet I understood what he was saying clearly and precisely. Considering the theoretical principles that he is working on, this presentation was very concise, even for novice beginners. You can tell he is thinking about it every moment, the problems and solutions he is trying to figure out, even while giving this presentation. Beautiful, really. And yet, people want to insult his teaching and writing? You've obviously not had very many professors.

[@TuanDuong-gs6ui]

You are cap and fake af. I bet you not even graduate BA degree and u tell ppl you understand this lecture

[@fxvtv]

This isn't the only place where I've lasted 48 seconds.

[@BookofProverbs]

Oh my gosh hahahahahhaha

[@richarddevenezia8186]

Math is hard, but only for a little while.

[@oxyiinc7518]

Tao’s genius at mathematics began early in life. He started to learn calculus when he was 7, at which age he began high school; by 9 he was already very good at university-level calculus. By 11, he was thriving in international mathematics competitions. Tao, now 31, was 20 when he earned his Ph.D. from Princeton University, and he joined UCLA’s faculty that year. UCLA promoted him to full professor at age 24.

[@maitreyo137]

He is not 31

[@francishunt562]

He's 46, but I take your point about his wonderful ability being evident at an early age.

[@Joao-id4dn]

has there ever been a math genius whose genius appeared later in life?? I think math genius is the kind that always appears early in life

[@lord_haven1114]

I think you’re in the wrong spot. This is a math lesson, not a documentary. And anyone can check out his wiki without people copying and pasting random factoids for likes.

[@tebogokhanye7035]

It is quite a privilege to live in the same lifetime as prof. Tao.

[@edclam]

So over 1M people tried to watch this. There's hope with humanity, methinks :D

[@bluevalley82]

I’m sure most of the views want to see not math

[@diwu4575]

You should ask how many of them finished watching this.

[@voxpopuli735]

Many are watching not to study maths but to study him. :)))))

[@walkwithmeEU]

Well.. no. The math nerds rewatched it again and again, remounting to more than a million views. P.S I belong to the maths nerd community

[@djc1234]

Yeah, but can he make a calculator say 'boobies'?

[@barneywheelock9107]

darren cassidy That was his PhD thesis.

[@Itsdaquenchiest]

And for reference, he probably can

[@icelandmoon]

darren cassidy More impressively I use my girlfriends boobs as a calculator.

[@FinalFanManiac]

icelandmoon If you count passed 2, call a doctor.

[@keithrichards9034]

darren cassidy That's a good question and can he actually turn and face the people he's talking to...?

[@rogerstephenroth8073]

I amazed at Terry Tao 230 IQ and brilliance of his math lecture, very impressive indeed.

[@zmaj12321]

Tao is a great presenter! I am definitely not very knowledgable in this subject but it was very clear to understand.

[@xxhahjexx6969]

He talks so fast, didnt understand much

[@zenozama5798]

he's teaching university smartest teachers

[@fghfghggffghv612]

Ooorr, maybe they are all dumb, and he is trying to teach them what a prime is but, even with an incredible elaborated argument, they still dont get it .

[@storm-9494]

fghfghgg ffghv you’re dumb

[@alexlewis1036]

@Ryan Sun Not that far...just...maybe a year's study to understand properly the surface-level mathematics involved, and many more of specialized study on different parts (distributed across a number of people, as in the polymath group) to effectively apply it...but you might be able to understand what he's saying in a year.

[@theirrigationnetwork9870]

He’s describing his current research field

[@diabl2master]

He's not really teaching

[@alwaysuseless]

Tao is brilliant and very likable. And happily, the first half of the talk had a lot of Oh, of course! moments. Admittedly, the second half had a few What did he say? moments or Does "cover" mean "include"? Etc. Very informative talk, though, despite an occasional avoidable lack of clarity. It's not that Tao thinks faster than he can talk, as some commentators suggest. I've known Field Prize winners whose presentations are always crystal clear. Still, we shouldn't let an imagined ideal spoil our appreciation of the good. After all, there aren't that many people actively engaged in the research and who could have given us this update (to 2014). Thanks to the UCLA Math Dept. for making this available! Prime number distribution is a tough and fascinating field.

[@dezenaamvergeetiknie]

*Read more* field. Could've just shown it :P

[@amlecciones]

Agree

[@williamchurcher9645]

Hmm, good points made here. I will defend him by saying that, without meaning to insult, cover is a fairly commonly used word in university mathematics, for example in compactness. A set of sets cover another set if the union of those sets contains the target set.

[@MyOneFiftiethOfADollar]

Please enumerate the moments of "occasional avoidable lack of clarity" Otherwise we might conclude your Y-Tube name is an accurate characterization of your behavior.

[@fieldtinny33]

I met Terry on a night out. He found the meaning of life, the universe and everything. Didnt share though as so humble and modest.

[@yestom1170]

Worst nightmare: here is a quiz to test your understanding of what I just told you.

[@PaliAha]

I'm a TRUCK DRiVER. Watching this I'M LOST.

[@Randy1337]

+Pali Aha hahahaha :D

[@jonathanlinderer7271]

+Pali Aha He speaks really fast and the math is pretty obscure I think.

[@xodiachd6823]

+Pali Aha Haha it's ok, you've done more good for the world than this "genius"

[@xodiachd6823]

Randomfully Wonderful I guess that's true

[@jonathanlinderer7271]

Well some of mathematical thought has practical applications. In this case though, I've gotta say I don't really see the use. Lol. I think its interesting, but what does studying gaps between prime numbers actually accomplish?

[@TBOTSS]

Superb talk. Very easy to understand and presented by a man who clearly loves and understands his subject.

[@robertveith6383]

No, it is difficult to understand with how fast he is speaking, and the camera is too far away from the board.

[@pebbleman721]

@@robertveith6383 skill issue

[@yty1941]

@@pebbleman721 ikr... This camera is much closer than what I get sitting in first row of a public school's lecture hall...

[@brentvelasquez6751]

2 minutes into this lecture and you start to realize that he’s literally on another level.

[@bconni2]

that's typically how intelligence works. . most of us understand consciously or subconsciously how valuable really, really, smart people are to the survival and advancement of our species.

[@amex4453]

Why did I watch somebody explain math for an hour for no reason? Passion truly is magentic.

[@MyLife-og2kr]

I'm not a math person. Math was the only subject I failed at in high school and college, but it is a great pleasure to watch a math genius in the works

[@MyLife-og2kr]

I don't know if it's a compliment or not, but... math sucks, the way that he does it however is like art lol

[@MusicILike-cy4et]

+Leng Lee Math is beautiful. Its just that most math instruction is done poorly.

[@kaplumbagaefendisi2837]

I wached until finish just because of he seems like talking about something really important and I have no idea what is that.

[@amlecciones]

Me.

[@innocenboy]

Beginning was about prime numbers: it is really important for humanity to know a lot about prime numbers, because we use them everywhere. For example, cryptography of internet(security), debit-credit cards. For this we need to know very big prime numbers, so normal people cannot guess it. The theorem he was improving was the spaces between prime numbers. If we found 1 prime number, how many more steps minimum we need to make to find the next prime number in the sequence.

[@SWard-oe8oj]

@@innocenboy r/woosh

[@kamilziemian995]

Terence Tao talks about prime number are so clear and informative.

[@fehmeh6292]

For enthusiasts, look at the prime gap count with all the evens removed. It is a very interesting series of numbers.

[@jackl420]

I can see a lot of people who commented here are not familiar with the academic world. He's not teaching here. This is what people call a talk in a conference or something. He's giving review of the history of prime gap and some related problems. His audience is a bunch of mathematicians. Almost all such conference talks are like this. Any interaction with the audience comes at the end of the talk.

[@javainbaker3788]

Ok thanks for the info you prick

[@eurasianfred]

@@javainbaker3788 Dang sensitive much

[@SPcapx]

@@eurasianfred Hes a snowflake what do you expect

[@zdog1566]

I think it's more like a public lecture, not a conference talk. He does not seem to be talking to peer mathematicians

[@rovidius2006]

He speaks a foreign language to non mathematicians while boring to most

[@dstupack]

The point is, people aren't there for him, and this isn't a course. It is a research lecture, and people are there to see what his work is - where it is in the historical context, and where he is taking it. While many disciplines use ppt, mathematicians continue to love chalk (and dislike whiteboard) in the way they tell their stories.

[@VCT3333]

Yitang Zhang's story is an inspiration in itself, and the collaborative extension is a delightful coda. Mathematicians like to work by themselves to solve problems, look at Andrew Wiles' story for example. But Terry rejects that kind of thinking and he wants to make Mathematics research collaborative like Erdos did. Kudos to him.

[@fofana1336]

When you realize he was teaching a partly bald men while he's fully haired

[@samberg3864]

By this logic newborns or Joe Rogan should teach everything

[@darkmatrix80]

I don't know anything about maths, just watching this because it makes me feel clever...

[@wtw5002]

Watching lectures given by Terence Tao, Edward Witten, and Manjul Bhargava has led me to a single definitive conclusion; 99.99999% of us are just meat with eyes.

[@thewolf2153]

😂😂😂

[@shankee1987]

He won Mathematics Olympiad Gold at the age of 12 in 1988... This guy is a prodigy.....

[@icjavelin]

Satisfied. I've learned to catch and follow his particular flow

[@AiZeno]

I'm diploma student in chemical engineering currently watching phd math and the way he teach them is very straight-forward and easy to understand with his voice tone

[@gulpbiys5705]

kzbin.info/www/bejne/qZOmgpeXoaxlea8

[@ChrisCokeRobinson]

Nope, im never passing that class..

[@AlexLococo]

+Ivan S I've ADD too, but I find this too interesting to not keep focus.

[@legendarylightyagamiimmanu1821]

Christopher Coke Robinson I have ADD, ADHD, and Manic Depression. Is this a competition now? btw i understood only everything I saw in this video.

[@AlexLococo]

Bipolar dissorder type I (mainly manic)/II (mainly depressive)¨, ADHD Combined Type¨, though. ADHD is the umbrella term, and ADD is now called ADHD Predominantly Inattentive because later in life it is usually expresses other sorts of hyperactivity that aren't hyperkinetic (e.g. anxiety, aggressiveness, restlessness; if unattended, it usually evolves into a second comorbid pathology, like, GAD and/or BPD-T I or II, but usually II), which means that what was usually called ADHD is now called ADHD Predominantly Hyperkinetic (GAD and BPD can evolve here from untreated ADHD, but it's more commonly type I). The real difference between the three types of ADHD aren't physiological, but behavioural, and urine phenethylamine levels remain fairly similar across the three groups. Which means, more often than not, the following: 1) you don't have BPD, but instead cyclothimia, and can be treated /relatively/ easily. 2) You do have BPD, and it evolved as a behavioural overcompensation of having ADHD in a capitalist society. 3) You were born with a "bipolar" brain, and the "random" fluctuations in mood and motivation made your psychiatrist misdiagnose ADHD on top of the bipolar dissorder, and you don't actually have ADHD. It's not an uncommon mistake, and it's one hard to notice, specially with children (you know, very few kids are actually suicidal).

[@kroosgiro]

Diego Sheish adhd is made up by big pharma to sell addictive pills. You don't have adhd. Nobody does. Everybody has trouble focusing.

[@iKSWag23]

Christopher Coke Robinson let’s be honest...you would never even get close to being eligible for this class

[@googl2503]

After watching all of this video, I finally was able to figure out how to sign up Amazon Prime!

[@amesakurako1]

As a maths grad this is super easy to follow and interesting all the way through👍🏼👍🏼

[@SaveSoilSaveSoil]

Whoever recorded and uploaded this video, thank you very much

[@Macooasme]

This is how highly productive and focused people work. Amazing

[@PastPerspectives3]

Highly productive, focused, and a 200+ IQ - LOL

[@doncorleone7940]

i searched for "how to bake" then i dont know why im here.

[@danielmago4327]

LMFAO

[@stateofmissouri5651]

youre very very lost then buddy. do you know how to use a computer??

[@jimjimakos1101]

Great mathematical a smart mind these people we need them to helping us in the math problems to give us solutions and helping us to understand anything we dont know about math have a great day terence tao

[@robertmoss9619]

Professor at 24 years old what a guy!

[@kodama4351]

Robert Moss he has 43 years old.

[@dlevi67]

He was a professor at 24. That was in 1999.

[@alexterrieur8834]

And in this video he is teaching to teachers

[@shaky0407]

He's so down to earth.

[@JamesJoyce12]

For the longest time Nietzsche was the youngest professor

[@swizzbeats1212]

I watched it on 2x the speed

[@keepyouright6157]

+Isaac Newton Only you, Newton.

[@reza4975]

No matter how good you were, your theory of time was invalid. Einstein's theory of relativity proved your theory of time wrong. You stated that if we were able to locate each particle, its direction and its speed we will be able to time travel. That statement was proved wrong. Explain your self.

[@user-sc2jz9ng6k]

+Isaac Newton Using Leibniz's integration notation as a profile pic? I thought you hated that guy?

[@cowayofficial]

+Corey Hayes leibniz is his hidden love,thats why

[@user-sc2jz9ng6k]

+Devry Pasaribu Gotta love math humor lol

[@TheAlexandersword]

What is his primary focus in mathematics? Because whatever it is, eventually he will be remembered as the one who advanced it forever. Truly an exceptional teacher too!!

[@magicmulder]

He’s made valuable contributions to many areas. Not sure he really has *the* primary focus, but you can guess he’d like to solve the Riemann Hypothesis and the Twin Prime Conjecture. However these days you don’t solve big number theory problems by doing number theory, you take detours into equivalent problems in algebra etc.

[@therandomthoughtsofaninsig5492]

Harmonic Analysis

[@trapkat8213]

Fascinating. I had no idea about the progress in the field of minimum prime gaps.

[@edmbootcamp6188]

I actually understood that. Very beautiful, first time hearing of a primorial

[@stephenhughes1862]

This guy is awesome! God bless mathematics!

[@whatno5090]

Why do people comment that they didn't understand a single sentence? Like, I understand that they probably watched this video because they want to understand it, but why not realize immediately that you don't understand particular crucial concepts and then go look them up or something? It just feels really weird to me to comment that

[@architmahatorollno.332]

This vedio should automatically start with 0.75x speed.

[@LivingDead53]

Being locked in a psych ward for like 80-some days with a rubber pen and sheets of notebook paper, I came up with a few factors of primes by using my triangle or my building square. They fizzle out though. :( Still, Tao is my hero. I hope to one day pass calculus. It's my dream. I love math. I just suck at it.

[@ridcomics9364]

Man his mind is in a mania mode. I am always amazed at how people think like this. It's a struggle to get your thoughts out. great stuff.

[@rosilenelima5550]

Oi

[@tuannabolas591]

He is specialist of prime number including all operations related to it.

[@weblogic7723]

We need teachers like this to even go to younger students and cultivate the interest in maths. Many a times kids fear maths because there's no one to explain properly, most just are given a bunch of formula to memorize. I have myself suffered through that and the only way for me to pass was practice more and more just so the formula remains in my mind rather than actually understand the concepts properly.

[@Swanmaster123]

Imagine not properly preparing before one of this guys lectures. You'd be blankly staring tge entire time.

[@alephnull4044]

I'm like that in all my maths lectures regardless

[@Reivivus]

Imagine the final exam in his class

[@mohammadaminmasoomi3597]

He is a genius. And he advice us if we want to explain and understand the laws in the nature.we must ask why

[@douglas_leimiceg]

I'm excited to see the progress he made in the quarantine

[@venkybabu8140]

Prime means infinite integral of waves. Gaps between primes means possible waves spectrum. Large gaps means possible modulation for small.

[@user-tr3zu2gm8z]

At 2x he starts speaking chinese all of sudden... P.S. I love my girlfriend so much!

[@suyashsrivastava9582]

🤣🤣🤣🤣🤣

[@LoveIncest]

😂😂😂

[@gordonsmith352]

He's Australian.

[@babbisp1]

@@LoveIncest Funny how i read your username right after searching deadly women double trouble that has incest. Quite a coincidence

[@rishavkru3274]

@@babbisp1 what?

[@soheelegb6851]

his brain processes faster than his mouth can speak and he speaks faster than my brain can process

[@allahm-ast3mnlywlatstbdlny164]

​ @onoyoudont mashallah

[@helmutalexanderrubiowilson6835]

nice video Old school math teaching with one of the smartest man on earth

[@ooffoo5130]

"Well you see, some of them are small, some of them are large. Thank you for attending this lecture."

[@jrock2310]

I was bored so came here & became a math genius.

[@Randy1337]

+Jeff Connors

[@viniBR232]

Yep. Same here. I've smoked some dry grass too before.

[@daniellikahong]

+Jeff Connors I was bored so came here & became a youtube genius watcher. :D

[@user-qc1cn5ve8y]

Эта лехкатня

[@viniBR232]

Well, based on this last comment it seems our friend Jeff just watched Russian video and became Russian.

[@bobeatschocolate]

I'm very mesmerized by your ability to write so smoothly on a chalkboard. I usually whiteboard everything but I love the smoothness of chalk and when you have noticeable symmetry in your alignment of words / numbers on the board... AH i'm just sitting here in the dark LOVING it lol.

[@JA-nv4zb]

It depends on the chalk you use

[@bryantgouveia]

This is the weirdest, gayest and creepiest comment I have ever seen on yt...

[@cmlibin]

After 5 months of quarantine I am learning this..

[@alexcooper4527]

What is astonishing and cute is that Terry Tao, despite his fame and accomplishment has stayed humble. And despite teaching for so many years, he still cannot maintain eye contact, which is a typical trait of a genius who are usually introverts. It comforts me because, I too struggle to maintain eye contact, although I manage to get above average grades. I have learnt some social skills by closely observing behavior of others and learning gradually from them. It is self-reassuring in a way to know that there are other people like me, who are much more accomplished in their lives. It is OK to be an introvert, as long as you still care about people and are passionate about your work and your family. I wish everyone who is reading my message to have a nice day, a happy week, and a wonderful year. 🙂

[@programmerpctheory1413]

Damn that comforts me too, even though I don't fully believe you. Thanks!

[@LexiNc8284]

@@programmerpctheory1413LMAOOO

[@MarcosFMolina]

I understand the logic and the process... maybe is because I don't speak English or maybe is because I'm not a mathematician, but there are some bits that I couldn't comprehend. Still, this is really fascinating, he seems to enjoy it a lot. I love this kind of content... some subtitles would be welcome. In the meantime I'll practice my English.

[@Jinouga502]

He's talkign so fast that if you turn the subtitiles on its in Binary.

[@MolotowCocktail24]

But binary is terribly slow and inefficient to code something

[@Srewotgames]

NEKROZ OF BRIONAC exactly you’d need lines and lines of binary for a couple of words

[@kevinoduor9841]

he gives an important lecture to professors in T-shirt. times have changed.

[@Zireael1706]

At 18:24, shouldn't it be P(n+1) - P(n)

[@glockgoon7]

this guy must get so much respect from math students at UCLA

[@SP-qi8ur]

Ya think?

[@greatstuff5]

I was a math undergrad at UCLA... I had and still have so much respect for this man. He makes analytic number theory look like elementary algebra. This video is probably one of my favorites of all time on KZbin. I don’t think people realize how important the twin prime conjecture really is. Together w the Riemann hypothesis they can change our world so much once proven.

[@samajlo4336]

@@greatstuff5 Can you please tell me where can I find his lectures?

[@greatstuff5]

Alpha Centauri honestly his video lectures I have only found on KZbin, he doesn’t upload them himself you can go on his personal website and he has like a blog where he updates his current research and things like that!!!

[@jeffryjeff4033]

Ho Sane this is a genuine question - how is this important?

[@jordanmicahcook]

I think his mind is going so fast that it is hard for him to slow down enough to put it into words.

[@zfrmusic6663]

For a historically great mathematician who will no doubt become a timeless name like Gauss or Euler, he is quite a down to earth teacher and effective

[@twstdreality]

"Oiler" is how it’s pronounced. Not " ew-ler" or "u-ler" as people commonly mispronounce

[@VinOnline]

@@twstdreality You have been gifted the skill of reading people's pronunciation through text.

[@obinator9065]

@@twstdrealitytoilet paper

[@parmenides2576]

Tao seems like a nice guy but comparing him to Euler is one of the most insane things I have ever read on KZbin, and that’s saying something

[@lapislazulimoon]

It is truly rare to find a lecture that you need to slow down instead of speed up

[@1964Loukas]

Big difference in being a master teacher and being a genius on your own. I happened to watch some old MIT lectures by Prof. Herb Gross....WOW!!!WOW!!! If he was my math instructor at an early age.....I would have turned out to be a genius!

[@neptuneninja]

I know this guy, he's from Australia, Adelaide South Australia if I remember correctly. He's a math prodigy who won medals at the math olympics When he was only around 12-13, everyone else in the competition was around 18. But as a kid he went by the name of Terence not Terry.

[@magicmulder]

You do realize “Terry” is the typical nickname for any Terrence?

[@derfunkhaus]

Among very large prime numbers which are NOT twin primes, are there any pairs whose gap, though not 2, is still notably small?

[@yajuneshmr9775]

His Brain: 240 fps His mouth: 60Hz