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.
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 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.
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.
@@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 ._.
@@thedoublehelix5661 Modern mathematics and scientific fields are products of western thinkers... only a seething dishonest anti-white dreg wouldn't admit to this reality.
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.
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.
+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.
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.
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.
@@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
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.
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)
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.
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.
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.
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 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.
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.
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.
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.
@@iamalive2826 if one listens to music's for hours, that individual possesses a worrisome habitual behavior. Very unhealthy, and (uncalled for but..) stupid.
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.
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.
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.
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.
@@eddieUTube 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.
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
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 .
@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.
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.
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?
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.
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
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.
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.
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).
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 RUclips. 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.
Alpha Centauri honestly his video lectures I have only found on RUclips, 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!!!
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.
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
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.
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.
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.
When the teacher is teaching and you don't understand anything. You don't even know what questions to ask in order for you to grasp. This is how I feel while watching this video.
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. 🙂
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.
lol
for real?
Oliver Cairn yep, for real
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.
I remember that as well. What I found even more impressive was that he also dated the prettiest cheerleader.
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
typical genius..
@@vulcrums He's inspiring too.. I appreciate having the chance to meet him and take one of his courses..
@@umuta1969 i believe so.. you are so lucky and smart! i wish i can get into university.. lol.. too expensive for me..
@@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.
@@umuta1969 you are right!
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.
I think I got this
@@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 ._.
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.
Patrick Reichert apparently I misremembered the essay- he actually referred to them as “generals” in the essay. Thanks for telling me.
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.
I love how mathematicians are honorable and always mention the names of those who found the formulas and such.
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.
@@thedoublehelix5661 the first people to discover most things were European people, so you're right
@@captainkielbasa5471 You don't know what you're talking about unfortunately.
@@thedoublehelix5661 Modern mathematics and scientific fields are products of western thinkers... only a seething dishonest anti-white dreg wouldn't admit to this reality.
@@captainkielbasa5471 What are you doing in the comments section of a math video you clearly wouldn't be able to understand?
His brain seems to be processing faster than his mouth can speak.
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.
+Leng Lee therefore their high iq is actually a hinderance
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.
+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.
So he practically built the atomic bomb, because without him the atomic bomb wouldn't be possible until centuries later. possibly. Haha
It's interesting hearing someone speak a different language using the same words that I use.
hahahaha 100%
I swear. At one point, I was hearing German.
@@rdjb9650 HAHA
@@rdjb9650 i am german and i dont really understand what he says
log log log log log log
Einstein: "Nothing in the universe can be faster than light."
Tao: "Hold my brain."
@@efekaanaltas he'd stutter so much more, because his mouth physically can't move that fast
Nothing is faster than your mind's idea
@@jayborisagar408 those are at the speed of light
mashallah
@Selam jesse what the fuck are you talking about
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.
Yah, you can clearly see that, even in this video.
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.
@@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
@@tranhuunghia2761 lol, you can tell you don't know anything about football. You cannot compare it to math u dolt.
Lol ok
I finished this video without understanding a single sentence. In fact, i dont even remember anything he have just said.
Thumbs up, good video.
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.
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)
allyourcode Huh?
@@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.
He might be smart, but hes not a good teacher...
I laughed along with them at 4:51 so I can seem smart
nah, more like to fit in
*fake desperate laugh*
I'm laughing because I understand that
*laugh in mathematics*
All they're laughing at is how short Zhang's world record stood due to Tao, the speaker
havnt even got to that part of the video but I gave a thumbs up like a nodding dog
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.
Considerate *
Lies again? Polite Home Delivery Anal Gap
Lies again? Polite Home Delivery USD SGD
Yes. I think his delivery style isn't for everyone but personally it works well for me. I love him
He actually explains it in a way that pretty much anyone can follow, shows how brilliant he really is.
Please don't underestimate how dumb I am
Allahu akbar
yeah , "anyone" with an IQ over 140. but don't kid yourself, this level of mathematics only a small % of the population can grasp.
"Anyone" is too many people ...
I can’t
You lost me at..."hello"...
lol same.
Sorcerer Prince Lolololollololollotrolol xD
Tao didn't even say "hello" in the video. Must've been a productive watch for you :)
No "hello"...
@@TomSmeding r/woooooosh
21:03 I actually laughed there. No joke.
Me too!
Log log log log😂😂😂,trying to take breath
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.
Dsan0_ 3 no? It‘s glog glog glog as in glug glug trying to breathe
You must be really good in math then I guess.
This guy is teaching his teachers lol
*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
is this a PhD viva? Seems that it is indeed a lecture
@@gerry5336in PhD viva there are like 4-5 people
@@bruhbruh6670 you mean it is a viva or not?
@@gerry5336 he got his PhD when he was 20 this is not PhD viva
Teacher : Terry, stop talking in the class, do you want to come and teach them ?
Terry : Hold my beer 🍺
Teachers have stopped using this phrase because there is always that one kid to ruin it for them hahahaha
Yeah, but can he make a calculator say 'boobies'?
darren cassidy That was his PhD thesis.
And for reference, he probably can
darren cassidy More impressively I use my girlfriends boobs as a calculator.
icelandmoon If you count passed 2, call a doctor.
darren cassidy That's a good question and can he actually turn and face the people he's talking to...?
His mouth isnt fast enough for all his thoughts...
You'd think with his iq he'd know how to enunciate properly
+elliot Melcer exactly what i was thinking
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.
+king koy Says the guy that can barely form proper sentences, and "been calculated" needs work mate.
+Lee Ketteringham I guess he should know how to cook awesomely as well?
Worst nightmare: here is a quiz to test your understanding of what I just told you.
I admire his teaching way, fast ,clear and talking with writing at the same time.
Really you find his teachings clear? Really are not
7:25 "shave down the fuc...four" Good save there!
Jumbo Kevin studious
LOL
You had me lmao
Shave down the focking four
OMG so funny
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.
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.
backhanded compliment
@@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.
@@HeyHo-gn3zm a lecture is not intended to be relaxing and make you fall asleep lol
Protect this man at all costs. To have a gift like his and to want to teach new bright minds is how sciences progresses.
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.
You are cap and fake af. I bet you not even graduate BA degree and u tell ppl you understand this lecture
...but can his brain run Crysis?
Great meme hahah
You are so dumb but haha
Haaaa nice call brother freeman..
He might could if he had a nanosuit
KING XD
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.
He is not 31
He's 46, but I take your point about his wonderful ability being evident at an early age.
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
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.
We need more of Terry Tao on UCLA , I would listen to him for hours.
It is not a music bro
@@iamalive2826 if one listens to music's for hours, that individual possesses a worrisome habitual behavior.
Very unhealthy, and (uncalled for but..) stupid.
@@ahmedhaaqil3903what😂
Is fast forward on or do I have adhd? Who would pay for this? Only drug users would like this type of teaching.
Saddest comment in you tube
This isn't the only place where I've lasted 48 seconds.
Oh my gosh hahahahahhaha
Math is hard, but only for a little while.
So over 1M people tried to watch this. There's hope with humanity, methinks :D
I’m sure most of the views want to see not math
You should ask how many of them finished watching this.
Many are watching not to study maths but to study him. :)))))
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
When you realize he was teaching a partly bald men while he's fully haired
By this logic newborns or Joe Rogan should teach everything
i searched for "how to bake" then i dont know why im here.
LMFAO
youre very very lost then buddy. do you know how to use a computer??
Let him cook
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.
*Read more*
field.
Could've just shown it :P
Agree
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.
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.
Superb talk. Very easy to understand and presented by a man who clearly loves and understands his subject.
No, it is difficult to understand with how fast he is speaking, and the camera is too far away from
the board.
@@robertveith6383 skill issue
@@pebbleman721 ikr... This camera is much closer than what I get sitting in first row of a public school's lecture hall...
The teaching of the teacher is very clear and clear to the students.
2 minutes into this lecture and you start to realize that he’s literally on another level.
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.
his brain processes faster than his mouth can speak and he speaks faster than my brain can process
@onoyoudont mashallah
Oh, wrong class
lmao
😂
😂😂😂
theres no wrong class
@@eddieUTube 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.
How quickness he is about his lecture on prime -gaps...so Experienced n brilliant on his topics...
It is quite a privilege to live in the same lifetime as prof. Tao.
What does the drowning number theorist say?
loglogloglogloglogloglog...
so hilarious LOL
"Not a very good joke"
- Terence Tao, 2014
lmao
Warsilver freaking awesome lol
tudu2001
10
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
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
+Leng Lee Math is beautiful. Its just that most math instruction is done poorly.
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.
"Well you see, some of them are small, some of them are large. Thank you for attending this lecture."
Whoever recorded and uploaded this video, thank you very much
he's teaching university smartest teachers
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 .
fghfghgg ffghv you’re dumb
@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.
He’s describing his current research field
He's not really teaching
I amazed at Terry Tao 230 IQ and brilliance of his math lecture, very impressive indeed.
Why did I watch somebody explain math for an hour for no reason? Passion truly is magentic.
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.
I'm a TRUCK DRiVER.
Watching this I'M LOST.
+Pali Aha hahahaha :D
+Pali Aha He speaks really fast and the math is pretty obscure I think.
+Pali Aha Haha it's ok, you've done more good for the world than this "genius"
Randomfully Wonderful I guess that's true
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?
After watching all of this video, I finally was able to figure out how to sign up Amazon Prime!
Terence Tao talks about prime number are so clear and informative.
I don't know anything about maths, just watching this because it makes me feel clever...
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.
Ok thanks for the info you prick
@@javainbaker3788 Dang sensitive much
@@eurasianfred Hes a snowflake what do you expect
I think it's more like a public lecture, not a conference talk. He does not seem to be talking to peer mathematicians
He speaks a foreign language to non mathematicians while boring to most
Satisfied. I've learned to catch and follow his particular flow
For enthusiasts, look at the prime gap count with all the evens removed. It is a very interesting series of numbers.
I think his mind is going so fast that it is hard for him to slow down enough to put it into words.
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
ruclips.net/video/sbCQdalG2CM/видео.html
He won Mathematics Olympiad Gold at the age of 12 in 1988... This guy is a prodigy.....
Tao is a great presenter! I am definitely not very knowledgable in this subject but it was very clear to understand.
He talks so fast, didnt understand much
This is how highly productive and focused people work.
Amazing
Highly productive, focused, and a 200+ IQ - LOL
I actually understood that. Very beautiful, first time hearing of a primorial
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.
Fascinating. I had no idea about the progress in the field of minimum prime gaps.
I wached until finish just because of he seems like talking about something really important and I have no idea what is that.
Me.
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.
@@innocenboy r/woosh
Instructions unclear, used prime numbers to create a time machine and am stuck in infinite loop.
that log joke was golden!
Thank you for the video! I am a sophomore (becoming a junior) in high school and learned a lot about the nature of numbers.
This guy is just filling in for the real professor, Lil Pump.
Must be intimidating for his fellow colleagues knowing that they are not all child maths prodigies! Lol.
Lol underrated
@ham burges Some infinities are larger than some infinities. Some child prodigies are bigger than some child prodigies.
@ham burges whoosh
Imagine not properly preparing before one of this guys lectures. You'd be blankly staring tge entire time.
I'm like that in all my maths lectures regardless
Imagine the final exam in his class
It is truly rare to find a lecture that you need to slow down instead of speed up
I can't get over how fast he uses that chalk
Professor at 24 years old what a guy!
Robert Moss he has 43 years old.
He was a professor at 24. That was in 1999.
And in this video he is teaching to teachers
He's so down to earth.
For the longest time Nietzsche was the youngest professor
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.
Oi
I'm excited to see the progress he made in the quarantine
Watching the Grand Master at work, what a privilege
This guy is awesome! God bless mathematics!
Nope, im never passing that class..
+Ivan S I've ADD too, but I find this too interesting to not keep focus.
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.
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).
Diego Sheish adhd is made up by big pharma to sell addictive pills. You don't have adhd. Nobody does. Everybody has trouble focusing.
Christopher Coke Robinson let’s be honest...you would never even get close to being eligible for this class
It’s always interesting to attend this guy talking mathematics...
After 5 months of quarantine I am learning this..
this guy must get so much respect from math students at UCLA
Ya think?
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 RUclips. 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.
@@greatstuff5 Can you please tell me where can I find his lectures?
Alpha Centauri honestly his video lectures I have only found on RUclips, 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!!!
Ho Sane this is a genuine question - how is this important?
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.
😂😂😂
Imagine having your name written on that board.
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
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.
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.
It depends on the chalk you use
This is the weirdest, gayest and creepiest comment I have ever seen on yt...
"Elementary my dear Watson" 😂😂
😂😂
As a maths grad this is super easy to follow and interesting all the way through👍🏼👍🏼
At 2x he starts speaking chinese all of sudden...
P.S. I love my girlfriend so much!
🤣🤣🤣🤣🤣
😂😂😂
He's Australian.
@@LoveIncest Funny how i read your username right after searching deadly women double trouble that has incest. Quite a coincidence
@@babbisp1 what?
He's talkign so fast that if you turn the subtitiles on its in Binary.
But binary is terribly slow and inefficient to code something
NEKROZ OF BRIONAC exactly you’d need lines and lines of binary for a couple of words
This vedio should automatically start with 0.75x speed.
Man he speaks so fast, even the video doesn't have an option for caption available because it cannot record everything he says.
He is a genius. And he advice us if we want to explain and understand the laws in the nature.we must ask why
I watched it on 2x the speed
+Isaac Newton Only you, Newton.
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.
+Isaac Newton Using Leibniz's integration notation as a profile pic? I thought you hated that guy?
+Corey Hayes leibniz is his hidden love,thats why
+Devry Pasaribu Gotta love math humor lol
His Brain: 240 fps
His mouth: 60Hz
he gives an important lecture to professors in T-shirt. times have changed.
When the teacher is teaching and you don't understand anything. You don't even know what questions to ask in order for you to grasp. This is how I feel while watching this video.
He is not good at manifesting question in easy and simple way due to the limitation of his ability.
There's intelligent, then there's brilliant, then there's genius, then there's Terry Tao.
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. 🙂
Damn that comforts me too, even though I don't fully believe you. Thanks!
@@programmerpctheory1413LMAOOO
I played this video for my 7th grade pre-algebra kids and I swear only half the class could follow along.
Hi Anand beat Nepomniachtchi in 17 moves