I remember when I was a kid, probably in 8th grade. I was obsessed with the Goldbach Conjecture because I thought I found a solution to it. Then I wrote an email to Eddie Woo Sir. And to my surprise, he wrote back. pointing out a stupid error in my calculations. That was the most magical moment of my childhood
Thanks for having me on again :-) And hey Veritasium fans: Sorry I messed up the numbers while getting emotional about Ramanujan. Here's the right version of the story, quoted from Robert Kanigel's book on Ramanujan: " [Hardy] would contrive an informal scale of natural mathematical ability on which he assigned himself a 25 and Littlewood a 30. To David Hilbert, the most eminent mathematician of the day, he assigned an 80. To Ramanujan he gave 100.” ― Robert Kanigel, The Man Who Knew Infinity: A Life of the Genius Ramanujan
I understand the getting choked up. I work extremely hard to try to understand "simple math". When I see someone who makes hard things look so easy to them, it's like looking at a magician. It's magic!
I never cease to be amazed that mathematicians hundreds of years ago could visualize things that normal people just cannot see without a computer simulation showing them what it is that the equations are telling them. My research (engineering not math) involved modeling of electromagnetic fields to predict charged particle motion and without computers I would have got nowhere. My supervisor could just look at the equations and "see" it straight away! His ability to simply strip away 90% of a complicated problem because he understood that it was irrelevant, leaving something even I could solve, was awesome.
Because they only had to go on is reality and its practicality they were more hand on than we do now, they had less to go on with and solve things so they had to be efficient and creative, they forced to if they wanted to reach success. They had a life more simpler and more straightforward and more pre-determined, all of this made them in sense more level headed, more matured, they meditated on life and its twist and turns that resulted in this.
Good point. People seem dumber today with too much assistance from rare geniuses, feeling "smarter" just because they can use gadgets they'd never build. Frankly, the math in this video lost me around the spoked wheel section.
@@DefundTheFringes without said "gadgets," we wouldn't be as advanced as we are. they are tools; as such, it is the accountability of the user, not of the tools. as many people you think are now dumber is as many now more intelligent, creative, and efficient from these resources.
From this video, I got the most out of the last 3 minutes. "Discovery is the goal." Working together on the process of Discovery does help Humanity... even if that discovery is pointless to Humanity.
I normally like to watch these cause I understand enough to make myself feel like I might be passably smart. This was 42 minutes of sitting there slack jawed and blinking slowly.
I'm from Ukraine and I love to do math during an air raid. If you're in a underground shelter and relatively safe it really doesn't help to sit and worry. Math and headphones keep me engaged and distract from things going on outside really well😊 When I was at my final year of school two years ago, we had almost all of our math lessons in the basement. And it felt really inspiring that we keep learning math together no matter what)
For anyone who isnt already a math nerd, the part where Derek guesses Leonhard Euler (said "oil-er") is a little funny moment, because Euler shows up nearly everywhere in math. There is a joke that many things in math are named after the first person to discover them after Euler. There is a shockingly long wikipedia article entitled "List of topics named after Leonhard Euler." Hopefully at least one person reading this wasn't already aware of this "maths inside joke."
The explanation of the circle method was one of the most beautiful explanations I have seen on UA-cam. This is quickly becoming my favourite maths channel, even while maths isn't your focus! Great work
I am a Chinese and grew up in China's education system. To most students, Chen's story was sometimes used as a counter example as how one can be so into math so he became delusional. One commonly referred story is that he bought a truck load of cup noodle to eat everyday just to solve this. But I was lucky enough to have a highschool math teacher that is very passionate about such topics and he lightened us with this story like 15 years ago. I feel really grateful for that. This video just reminds me of all those things and yeah, it is such a great video. Thank you Veritasium.
I still have the book “The Goldbach Conjecture” by Xu Chi, awarded to me in 1978 as a winner of high school mathematics competition in China. The book contains several articles, one of which is “The Goldbach Conjecture”, which told the story of Chen Jingrun. It described mathematics as the most elegant and beautiful thing in the world, the most worthy of pursuit, and described Chen as a hero and almost a saint. It made the deepest impression on me and probably on my whole generation. I became a mathematician, and even proposed my own conjecture (on the Stokes equations). It was a delight to see this video. Thank you so much! It’s amazing that there are already over a million views.
I just finished a master's degree in mechanical engineering with my thesis relating to Computational Fluid Dynamics and even I, didn't even hear the name 'Stokes' until I studied CFD and discovered how many simulation models include the Navier-Stokes governing equations.
"We don't know what's necessarily important, but we do know what we love" is a great way to explain why it's important to chase different problems at different angles and in many different fields and not focus on their concrete real world applications. It might lead to those real world applications, or maybe not, we don't know, but passion drives us to arrive at results, whatever they might be, and results allow us to progress as a whole.
A lot of math people were doing 100 years ago was criticised as being unimportant but we discovered later that it gaves us CRUCIAL tools to tackle more advanced physics. We don't know what's important at the time
Haven't watched the video yet, but I suspect it will be about prime numbers. Prime numbers have been especially important around protein folding and electron structures. There is no way people 100 or even 50 years ago would have been able to predict how prime numbers can support our understanding in protein structured and proteins
I have heard multiple times that defense for pure mathematics, however it doesn't follow that eventually every mathematical development will become important, I think more effective approaches could be that it's necessary to have an army of miners in order to allow few ones to get the diamonds (knowing that some diamonds are not easy to predict where they will be), or that important stuff in math usually connect with a lot of different areas so picking any thread and following is likely that eventually will lead to something important (....and well known math areas are usually already very explored so if you do math in those areas you are more likely to be doing something that someone else already did).
This is why research funding being based off of you being able to give explicit defined profits and benefits arising from the research is madness. That might do well for industrial chemistry or biotech, but not for mathematics. For another example, who would have guessed that Euler just exploring a common game of the locals of Konigsberg after Sunday Mass, would prove so critical for the Internet to even work centuries later.
@@luisoncpp I see your point but with some caution. At the end of the day, we really don't know when something will become "important". The nature of pure mathematics is to better understand how numbers related to each other, even if there is no express utility in our lifetime or even ever. It's why a formal proof for 1+1=2 exists and it took hundreds of pages to show that A very good example is how Calculus was developed. Although credit is often given to Leibniz and Newton, the foundation stems from the works of dozens (if not hundreds) of mathematicians and papers before them. Part of what led to Calculus being developed and formalized was trying to square a circle. I think everyone can agree that Calculus was absolutely transformative for nearly every field. On the surface though, who cares if we try to square a circle? It started off as a thought exercise/curiosity to see if a square can have the same area as a circle...a geometry problem driven by the curiosity of the ancient Greeks (as far as we can tell at least from historical texts). Even though it was "explored" work and by the time pi was defined as a transcendental number in the 1800s, most mathematicians believed it was an impossible problem by then or a waste of time. It took over 1000 years for this concept to be 100% proven. The concept of a transcendental number is important (to put simply...there are numbers out there that NO algebraic formula can calculate - indicating our current understanding of math is limited and there could be other realms of math we have not yet explored; another example is "e" - euler's constant). One impossible curiosity turned into generations of work and exploration. Having watched most of this video, yeah, who cares if we prove two or three prime numbers can add up to every other odd and even number? It might be true, it might not be. What's arguably more important than the conjecture is the work that goes into proving/disproving this conjecture and we may not have any idea what that will lead to in 1000 years edit: context and spelling
"Dont work on what you think is important, but work on what you love. because you will work with passion and that will lead you to do great things." what a quote
@@nimrod06 > talent is way more significant than passion. nope. You can be very good at something, but not do it. Whereas if you're not good at something, and do it a lot, you'll get better than the person with talent who doesn't bother doing anything. If you have talent and passion, then of course you'll be one of the best
Recently I found out that Einstein’s special relativity is completely different on what’s taught at universities and that lots of false informations are being spread (even from seemingly professional physicists). In a book by Einstein, it’s said that the law of constancy of the velocity of light is justifiably believed by the child at school, but that doesn’t make any sense as clearly such postulate wasn’t taught at school. Other parts in the book suggest that Einstein’s constancy principle was much simpler than what we think. In the same book, it’s also said that his two postulates were made compatible thanks to an analysis of space and time. This means that Einstein concluded that time is relative before using the postulates rather than the other way around, this is clear in a chapter called: “The Relativity of Simultaneity”, in which, without using the postulates he concludes that two events might be simultaneous for an observer and not be for another one. I’d like it if you made a video about it to explain how he concluded the relativity of simultaneity without using any postulate. The book’s name is: “Relativity: The Special and General Theory”, it is available as a free pdf online.
@@nimrod06 If I remember correctly I heard this concept in the context of finding a job that suits you, where you should do something that is important, where you have passion and talent. if all of them align, then there is alot of potential for it to be fulfilling and easy, while being able to earn a decent amount.
i used to think that solving pointless, impractical math conjectures and problems are a waste of time, but when i watched this video, i realized that a lot of the methods and techniques that people invented to solve their pointless and impractical math conjectures are the same ones we use to solve the important and practical problems today
This is the concept of exploration vs exploitation. Exploitation is an activity that focuses on harvesting as much known resources as possible. It is efficient in getting you want you want. Solving what you believe to be important falls under this category. But resources run out. So some of the time you should focus on exploration as well. It is an activity that tries to charter unknown terrain with uncertain payoff. Most of the time you score nothing. Occasionally you hit the jackpot. It seems risky but without exploration, there will not be big scientific breakthrough that shapes modernity.
The GPS system relies on imaginary numbers and data encryption relies on huge prime numbers. So yeah, what might look like useless mathematics can be very useful to the world (often without people seeing it, or needing to understand it).
And sometimes things can unexpectedly become important and practical, like how public-key cryptography suddenly gave enormous importance to a chunk of number theory (and later also algebraic geometry)
This is actually crazy. I was just working on my mathematics uni homework where we were looking at this problem. I opened UA-cam to get a break and was assaulted with this amazing video. 10/10
Und ich habe gerade heute Nacchilfe zur theoretischen Informatik gegeben, wir haben uns eine Aufgabe angeschaut "Angenommen es gäbe einen Algorithmus, der das Halteproblem lösen könnte, wie könnten Sie ihn dann benutzen, um die Goldbachsche Vermutung zu beweisen oder zu wiederlegen?". Und ich habe den Leuten erklärt, worum es bei der Golbachschen Vermutung eigentlich geht. Und eine Stunde später veröffentlicht Veritasium dieses Video. Welch ein Zufall, verrückt!! Derek liest einfach unsere Gedanken, lol😅
Everytime I learn about the Ramanujan's theorems be it the asymptote theorem of partitions or the tau function , it's the stories behind them that give me the chills !.
for me, a stronger argument for solving "difficult and irrelevant" problems is that they often yield to completely novel methods of prooving (like the circle method) that in turn can be applied to other problems. basically tackeling a extremely hard problem brings tools to live that are helpful also for other problems.
Agree, "irrelevant" is just a temporary label due to the current state of the art. Prime numbers themselves were considered just a curiosity, while today they are the foundation block for cryprography, and in turn the internet.
"We don't know what's necessarily important, but we do know what we love. So work on that." - Steven Strogatz, Professor of mathematics, Cornel Univecity As a teacher, his last sentence hits me really hard.
Albert Einstein seemed to be well-tuned-in to the Zeitgeist of the quantum and atomic world of Physics starting to emerge. He knew what was important. He also knew that he *HAD TO* and *DID* acquire the mathematical knowledge and skills sufficient for his adventures in Physics. He had the motivation coming from a vexing problem he was interested in and loved to solve to study Mathematics earnestly.
One of the things I love so much about Veritasium’s videos is how engaging they are. I have a problem where I zone out after sometime when watching something, but it almost never happens with these videos.
I can’t remember how often OG Veritasium did this, but weaving historical and military events throughout these stories has enriched an already rich channel.
The circle method that Hardy and Ramanujan developed is so intriguing to me. I couldn't imagine ever thinking along that direction. It shows the intellectual prowess of both of them.
It's just an iterative search function for integers converted to polar coordinates. Most people don't find polar coordinates to be intuitive, but then again, most people aren't mathematicians.
I love how this is one video where all the world's greatest mathematicians are featured. I was so happy to see some of the professors from your previous videos as well!!
I agree, it makes him feel disconnected, mildly rude. Not to mention how unnecessary it is. And then you get these weird awkward moments where the fella seems ecstatic, and the other guy is blankly staring at the back of the camera.
"People should do what fires them up because if you do that you'll be passionate. You'll think about it all the time, you'll do it when you're in the shower, you'll think about it when your driving... And you might do something remarkable because of that passion. If you do something because you think its important, i think you'll tend to be second rate, honestly." Brought me to tears. Why is it akwaus Veritasium that strikes me with these philosophies?
His inventing calculus independently at 21, And do most of his work on maths simply because he needed it for his physics problems, is enough reason for me to consider him. Even though he is a physicist and do math as a 'side hustle,' he's still among the greatest mathematicians. While euler and gauss is a proper full time mathamations still competing with newton.
Story if Chen Jingrun breaks my heart. Thinking how much he had to suffer, and then seeing how much the whole world held him up as a hero for his struggles, memorating him really made me tear up. I just imagined how much his struggles were thanked by the whole world, like a huge "Sorry" that humanity expressed. Wow.
Two of my favorite channels have collaborated. I love the new storytelling I've been seeing in your videos for the last year, and it's always reminded me of Ferns' videos.
The fact that I watched this entire video hoping to understand... I won't lie I'm still clueless but I still love your videos Veritasium! Your channel makes me really love learning
Don’t worry you’re not clueless it’s a question that has exactly 0 real world applications. Just let a computer run even numbers for as long as it takes to either find a counter example or admit it’s correct since it’s blatantly obvious it’s correct
Recently I found out that Einstein’s special relativity is completely different on what’s taught at universities and that lots of false informations are being spread (even from seemingly professional physicists). In a book by Einstein, it’s said that the law of constancy of the velocity of light is justifiably believed by the child at school, but that doesn’t make any sense as clearly such postulate wasn’t taught at school. Other parts in the book suggest that Einstein’s constancy principle was much simpler than what we think. In the same book, it’s also said that his two postulates were made compatible thanks to an analysis of space and time. This means that Einstein concluded that time is relative before using the postulates rather than the other way around, this is clear in a chapter called: “The Relativity of Simultaneity”, in which, without using the postulates he concludes that two events might be simultaneous for an observer and not be for another one. I’d like it if you made a video about it to explain how he concluded the relativity of simultaneity without using any postulate. The book’s name is: “Relativity: The Special and General Theory”, it is available as a free pdf online.
Whenever this channel drops a new math or physics video, I click play knowing full well I’ll be confused in 10 seconds - but that’s the beauty of it. It shows me how much I don’t know... and that's what motivates to learn more about this stuff.
I know it's a weird comment to make but I'm sitting here right now at 2am in the morning and I hear air raid sirens outside AND in your video and it's really eerie. Greetings from UA :)
Me: yeah I noticed it was changed 🤔. Wasn’t it something obvious like 5 = 2 + 3 on the earlier thumbnail? Veritasium: I think therefore I shall change the thumbnail
This video is amazing! Thank you for this! Chen’s story and struggle broke my heart. I appreciate you highlighting his story. I also want to thank you for continuing to use origin art in your videos! The AI slop has proliferated so many channels it’s absolutely refreshing to see major producers stick to real artwork. 🦄
@@golden_rod oh no, I wrote my comment after seeing 2n = a + b. No irony or anything, I really don’t like “3 + 5 OMG NO ONE COULD SOLVE THIS” type of clickbait and I was thankful for an actual unsolvable equation on the thumbnail.
That was very inspiring. I was particularly moved by one of your final sentences about how we beat ourselves up far too often instead of just putting things out into the world and letting them evaluate for themselves what we've created.. Thank you for giving me that feeling.
1:54 When he said "your favorite number" at first I thought 37... then he said 42 and I thought oh, makes sense, and then i laughed out loud to see = 37 + 5. 😂 jad to get a 37 somewhere in there didn't you
Something I imagine few people would be excited about, but hearing you pronounce "ln" at 10:42 made me realize that I definitely should copy that and pronounce it the same way! I've up till now, been personally calling it "Lane" in my head, using "Natural Log" if I mention "ln" to anyone. I don't know if "Lawn" is an 'official' simplified pronunciation, if you came up with it to use often or even just here for the first time, or anything else, but whatever the case may be, thank you for blowing my mind on something simple and mundane!
Не знаю китайский, но Гугл неплохо с ним справляется, and I can English pretty good. Но, всё, на что способен мой мозг заскорузлого мемлорда при виде перевода, который выдал мне Гугл, это примерно следующее: 🗣️🔥🔥🔥
That's A/B testing mate. UA-camrs, businesses, FMCG companies have adopted such means to test their audience and what attracts them to come about the perfect thumbnail(in this case) so that they can maximize the amount of clicks and hence get larger amounts of revenue
I recently stumpbled upon a footnote in a 6th grade students mathbook in Germany roughly translated to: "This is known as the Goldbach Conjecture, which was proven a few years ago"
All your maths videos, Documenting them for them to live permanently online for so many to continuously reference is an absolute GIFT. What this channel continuously provides are endless GIFTS to humanity, FOR FREE. It’s SO HARD to successfully convey mathematical concepts in such a digestible way for anyone to consume; yet you guys pump video after video out in a way anyone can understand; and include a compelling history and human stories to these that make it more relatable. It takes an incredibly hardworking talented team full of geniuses to be able pull this off with such regularity. I often teach to my younger colleagues to pass knowledge down and it’s DIFFICULT for me to convey concepts that come to me inherently after decades of study and practice. What you guys do are truly special. THANK YOU SO MUCH.
The screenwriting and direction on top of on point visualization, editing, AND animation is absolute gem. And to provide this for "free" (or rather, paywall-free) is really going to help young viewers anywhere in the world.
when I opened the video I thought about Ramanujan and just thinking how he would have approached the conjecture and when I saw him in the video I was most excited
Jesus, idiot did not realise that they weren,t saying numberphile invented it. But that interviewing a mathmetician and having them explain on paper is literally their format. It,s a valid comparison. Dont be pedantic. I don,t think you are actually stupid enough to not realise this is what they meant. You just felt a need to put down someone.
33:59 a government turning against science - what a horrible scenario! Fortunately, humanity has learned from history, and such terrible things can’t happen anymore
What would be worse than that is if scientists turned against science and started saying things like men were women and women were men, that men could give birth to babies, or by some genital mutilation, that they claim would be reversable, along with some nasty drugs that kids could go from female to male or male to female. Luckily that could never happen these days.
"Right-wing uprisings against science": no more grants for cocaine for dogs and transgender mice Left-wing uprisings against science: scientists killed
Me every Veritasium video: Beginning: "Woah that's a cool idea I'm so curious!" Middle: "idk what's going on that's some nerd stuff" End: "that was so beautiful I'm glad I watched"
I lived in Xiamen and you can see the Kinmen islands from the beach. There are huge signs on Kinmen that can be read from China, they say "Three Principles of the People unite China". Pretty cool to see that area referenced at the start!
I’ve been on the opposite side of this. The coast of Xiamen is entirely visible from the northern beaches of Jinmen (Kinmen is the older designation). Weird fact - as the stalemate between the ROC and PRC dragged on, the shelling from both sides that continued for decades settled onto a weird schedule. I don’t remember exactly how it worked, but it was like Monday-Wednesday-Friday was the ROC’s turn to shell and then Tuesday-Thursday-Saturday was the PRC’s turn. Scrap metal from exploded shells was a cheap and plentiful source of carbon steel in Jinmen, so the island developed a weird cottage industry of making high-quality kitchen and butcher’s knives.
There's a story that goes like this. The Kinmen county government starts receiving several mysterious calls from the mainland. They're naturally suspicious, so they notify the local RoC Army garrison and the island goes on high alert. They gather a bunch of military big wigs in the room while the phone rings for upteenth time, then finally pick it up. The voice on the other side says: "This is the Xiamen Tourism Bureau. Your sign is faded, please repaint it."
Didn’t understood half of what was said yet it was fascinating, the quality of the editing and the storytelling are on point and despite having quit doing math at 18 after highschool i gotta say the video is really well written to accompany profane like me, amazing work keep it up !
@22:14 I think there was a mistake in the S(α,11). It is not the Σe^(i2π2α) but Σe^(i2πpα). It does not affect the outcome because the actual sum calculated is taken from the correct formula so harm's done.
Genius religious mathematicians are like Stewie from Family Guy - has the arsenal, will and intelligence to conquer the world but often is afraid of his own shadow
I remember when I was a kid, probably in 8th grade. I was obsessed with the Goldbach Conjecture because I thought I found a solution to it. Then I wrote an email to Eddie Woo Sir. And to my surprise, he wrote back. pointing out a stupid error in my calculations. That was the most magical moment of my childhood
lol like a massive fail lmaoooo
@@hgdrkuiat least they tried. What have you been up to? 😃
@@hgdrkuiwhat’s with the toxicity? At least he tried
@@hgdrkui People like you are the reason why people become more and more introverted. Just sharing their story and a brat started a damn war
That's incredible lol. Amazing story!
Thanks for having me on again :-) And hey Veritasium fans: Sorry I messed up the numbers while getting emotional about Ramanujan. Here's the right version of the story, quoted from Robert Kanigel's book on Ramanujan: " [Hardy] would contrive an informal scale of natural mathematical ability on which he assigned himself a 25 and Littlewood a 30. To David Hilbert, the most eminent mathematician of the day, he assigned an 80. To Ramanujan he gave 100.”
― Robert Kanigel, The Man Who Knew Infinity: A Life of the Genius Ramanujan
👍
You got me emotional, it is lovely to see a scientist so sensitive and attached to someone intellectually..
It was really touching and I loved watching you explain it. Thank you!
I understand the getting choked up. I work extremely hard to try to understand "simple math". When I see someone who makes hard things look so easy to them, it's like looking at a magician. It's magic!
@@RobertoMasciullo-v4d Thanks!
Thank you for the opportunity to collab 😊
Fantastic video!
ooo
Hello ai voice guy
Jungs ich bin so happy, ihr habt es von einem deutschen/niederländischen Kanal zu einer Collab mit Veritasium geschafft!!! Lets go!
Thank you for being apart of it, looking forward for the video on Ramanujan!
hmmmmmm
I never cease to be amazed that mathematicians hundreds of years ago could visualize things that normal people just cannot see without a computer simulation showing them what it is that the equations are telling them. My research (engineering not math) involved modeling of electromagnetic fields to predict charged particle motion and without computers I would have got nowhere. My supervisor could just look at the equations and "see" it straight away! His ability to simply strip away 90% of a complicated problem because he understood that it was irrelevant, leaving something even I could solve, was awesome.
Because they only had to go on is reality and its practicality they were more hand on than we do now, they had less to go on with and solve things so they had to be efficient and creative, they forced to if they wanted to reach success. They had a life more simpler and more straightforward and more pre-determined, all of this made them in sense more level headed, more matured, they meditated on life and its twist and turns that resulted in this.
Good point. People seem dumber today with too much assistance from rare geniuses, feeling "smarter" just because they can use gadgets they'd never build. Frankly, the math in this video lost me around the spoked wheel section.
@@DefundTheFringes without said "gadgets," we wouldn't be as advanced as we are. they are tools; as such, it is the accountability of the user, not of the tools. as many people you think are now dumber is as many now more intelligent, creative, and efficient from these resources.
Tesla could close his eyes, build and modify complex inventions
You're a book worm, not a genius, that's why 😂
"Proof?"
"It was revealed to me in a dream."
Ramanujan was just built different.
Damn is 😂🎉
Source: trust me bro
"... and I forgot it in another dream"
i forget the dream revelations when i wake up, for a few seconds it's clear and logical then it banishes never to be understood again....
"write the formula on his tongue" is like a proverb in India meaning the goddess spoke through him - not to be taken literally.
Did the God redeem it?
@ciaverifiedbadge4355why so racist lmao 😂 mad asf
@@Salt____ Because that place frankly isn't worth the only good person to have come from it.
@@wurfyy"the only good person" get better at ragebait buddy 😂
@wulfyy I’m sure you serve a great purpose in life as a walking durex ad.
Goldbach: Every even number >2 is the sum of two primes. UA-cam: Every 2 minutes is the sum of two ads.
vro cooked and we ate, and we solved world hunger
Silly people. UA-cam doesn't have ads...
If you watch on a browser with ublock origin lite installed.
😭
An ad started while I was reading this comment. It's ridiculous.
Just treat yourself to a Prime membership. Woosh! No more adds!
my toxic trait is convincing myself I comprehend anything in this video
From this video, I got the most out of the last 3 minutes. "Discovery is the goal." Working together on the process of Discovery does help Humanity... even if that discovery is pointless to Humanity.
Same lol
I normally like to watch these cause I understand enough to make myself feel like I might be passably smart.
This was 42 minutes of sitting there slack jawed and blinking slowly.
@@LomTong😂
Do not revel in toxicity or ignorance.
You know you’re looking at the next mathematician of the century when you see a guy reading a math textbook during an air raid
nice
I'm from Ukraine and I love to do math during an air raid. If you're in a underground shelter and relatively safe it really doesn't help to sit and worry. Math and headphones keep me engaged and distract from things going on outside really well😊
When I was at my final year of school two years ago, we had almost all of our math lessons in the basement. And it felt really inspiring that we keep learning math together no matter what)
@@ОляКульчицька-к5ь You're amazing, come on
@@ОляКульчицька-к5ь That's unbelievably incredible, you're an inspiration my friend. Slava Ukraini!
Wrong observation
14:23 in the footnote, Hardy rates him a 100 factorial. Well, Ramanujan deserves it.
They thought we wouldn't notice, but we are people who watch math in our free time😂
Yes Gilbert was an 80 and ramanujan was a 100
Rated himself 10. I'm negative on that scale.
@@fallagainstmorellet i dont even exist on that scale
@@Johnwick-dy6ju The scale does not exist for me
For anyone who isnt already a math nerd, the part where Derek guesses Leonhard Euler (said "oil-er") is a little funny moment, because Euler shows up nearly everywhere in math. There is a joke that many things in math are named after the first person to discover them after Euler. There is a shockingly long wikipedia article entitled "List of topics named after Leonhard Euler."
Hopefully at least one person reading this wasn't already aware of this "maths inside joke."
The Matt Turk of math
Interesting, thanks.
Likely most people, that's why it's an "inside" joke
I wasn't, so thanks for sharing. I should learn a bit more about this legendary mathematician.
I wasn't! Thank you!
The explanation of the circle method was one of the most beautiful explanations I have seen on UA-cam. This is quickly becoming my favourite maths channel, even while maths isn't your focus! Great work
I am a Chinese and grew up in China's education system. To most students, Chen's story was sometimes used as a counter example as how one can be so into math so he became delusional. One commonly referred story is that he bought a truck load of cup noodle to eat everyday just to solve this. But I was lucky enough to have a highschool math teacher that is very passionate about such topics and he lightened us with this story like 15 years ago. I feel really grateful for that. This video just reminds me of all those things and yeah, it is such a great video. Thank you Veritasium.
Cup noodle made him delusional, not math. No nutrition!
We must be from parallel timelines, because that’s nothing like how it was taught to me.
Do you know Wei Dongyi?
@@ihadkonwnitearlier4956yeah heard about it before
@@dayoonman3264that’s what I thought too, but it’s kinda weird to think that he so smart but he doesn’t know how to basically take care of himself
29:31 I'm from Peru and I remember when they announced he proofed the weak conjecture, he was like a rockstar amongst scholars here
He just went ahead and titled it ”The Ternary Goldbach Conjecture Is True” like a true gangsta
@@WaffleAbuser honestly how more scientific/mathematics papers should be called.
I really think rock stars should be compared to mathematicians instead of the other way around. "Freddie Mercury really is the Euler of rock singers."
@@jacoa.imthorn8113I like this. And Jimi Hendrix is Galois, the trailblazer who died way too young
@@vez3834 math papers usually have very descriptive names. it's just unusual to have a math paper which proves (or disproves) a well known conjecture
14:08 Hardy casually gives mathematicians power levels like anime characters.
Dragonball LMAO
That might be the other way around
It's over 7.3 factorial.
Glad that Hardy rated him 9.333×10¹⁵⁷/100.
Its over 9000! ... except that isn't a mere exclamation mark, but a factorial.
any math thing from the 18th century: Euler shows up
genuinely terrified to think what Euler could have done with todays tools
The true question: How many times will the thumbnail change?
or the title.
Seriously!! The title and thumbnail have changed at least 3 times already!
@@carinfotainment4220and so?
damn i was saving this vid for later but I have to click it or I won't remember what it is 😂
@@carinfotainment4220on a real note it helps get views which he does need
Euler is everywhere in math it’s like the guy invented math.
Repacked it for modern audiences, perhaps. They were doing math in India 4000 years ago.
He’s the lube
@@andrew3203 but they werent doing the kind of stuff he was. he's in every branch of math, at the highest levels
@@matthewhemphill3968 Source?
You don’t just get to say something like that and not provide any evidence.
Standing on the shoulders of giants
I still have the book “The Goldbach Conjecture” by Xu Chi, awarded to me in 1978 as a winner of high school mathematics competition in China. The book contains several articles, one of which is “The Goldbach Conjecture”, which told the story of Chen Jingrun. It described mathematics as the most elegant and beautiful thing in the world, the most worthy of pursuit, and described Chen as a hero and almost a saint. It made the deepest impression on me and probably on my whole generation. I became a mathematician, and even proposed my own conjecture (on the Stokes equations). It was a delight to see this video. Thank you so much! It’s amazing that there are already over a million views.
I just finished a master's degree in mechanical engineering with my thesis relating to Computational Fluid Dynamics and even I, didn't even hear the name 'Stokes' until I studied CFD and discovered how many simulation models include the Navier-Stokes governing equations.
Hi! I'm genuinely curious: did this book (and apparently movies etc.) about Chen Jingrun cover his treatment during the revolution?
worked on the mathematical theory of fluid dynamics. @@noonenoesbutme I
The whole society just came out of the cultural revolution and there was a lot exposure and reflections on it. @@WatchingTokyoYes.
Veratasium is just a gift. Bringing this incredible knowledge to so many people.
"We don't know what's necessarily important, but we do know what we love" is a great way to explain why it's important to chase different problems at different angles and in many different fields and not focus on their concrete real world applications. It might lead to those real world applications, or maybe not, we don't know, but passion drives us to arrive at results, whatever they might be, and results allow us to progress as a whole.
A lot of math people were doing 100 years ago was criticised as being unimportant but we discovered later that it gaves us CRUCIAL tools to tackle more advanced physics. We don't know what's important at the time
So what you're saying is Terrence Howard is the greatest mathematical mind in history?
Haven't watched the video yet, but I suspect it will be about prime numbers. Prime numbers have been especially important around protein folding and electron structures.
There is no way people 100 or even 50 years ago would have been able to predict how prime numbers can support our understanding in protein structured and proteins
I have heard multiple times that defense for pure mathematics, however it doesn't follow that eventually every mathematical development will become important, I think more effective approaches could be that it's necessary to have an army of miners in order to allow few ones to get the diamonds (knowing that some diamonds are not easy to predict where they will be), or that important stuff in math usually connect with a lot of different areas so picking any thread and following is likely that eventually will lead to something important (....and well known math areas are usually already very explored so if you do math in those areas you are more likely to be doing something that someone else already did).
This is why research funding being based off of you being able to give explicit defined profits and benefits arising from the research is madness. That might do well for industrial chemistry or biotech, but not for mathematics.
For another example, who would have guessed that Euler just exploring a common game of the locals of Konigsberg after Sunday Mass, would prove so critical for the Internet to even work centuries later.
@@luisoncpp I see your point but with some caution. At the end of the day, we really don't know when something will become "important". The nature of pure mathematics is to better understand how numbers related to each other, even if there is no express utility in our lifetime or even ever. It's why a formal proof for 1+1=2 exists and it took hundreds of pages to show that
A very good example is how Calculus was developed. Although credit is often given to Leibniz and Newton, the foundation stems from the works of dozens (if not hundreds) of mathematicians and papers before them. Part of what led to Calculus being developed and formalized was trying to square a circle. I think everyone can agree that Calculus was absolutely transformative for nearly every field.
On the surface though, who cares if we try to square a circle? It started off as a thought exercise/curiosity to see if a square can have the same area as a circle...a geometry problem driven by the curiosity of the ancient Greeks (as far as we can tell at least from historical texts). Even though it was "explored" work and by the time pi was defined as a transcendental number in the 1800s, most mathematicians believed it was an impossible problem by then or a waste of time. It took over 1000 years for this concept to be 100% proven.
The concept of a transcendental number is important (to put simply...there are numbers out there that NO algebraic formula can calculate - indicating our current understanding of math is limited and there could be other realms of math we have not yet explored; another example is "e" - euler's constant).
One impossible curiosity turned into generations of work and exploration.
Having watched most of this video, yeah, who cares if we prove two or three prime numbers can add up to every other odd and even number? It might be true, it might not be. What's arguably more important than the conjecture is the work that goes into proving/disproving this conjecture and we may not have any idea what that will lead to in 1000 years
edit: context and spelling
"Dont work on what you think is important, but work on what you love. because you will work with passion and that will lead you to do great things." what a quote
Well, there are three dimensions. Talent, passion, and importance. While importance does be an illusion, talent is way more significant than passion.
@@nimrod06this English phrase, while grammatically correct, doesn't make any sense
@@nimrod06 > talent is way more significant than passion.
nope. You can be very good at something, but not do it. Whereas if you're not good at something, and do it a lot, you'll get better than the person with talent who doesn't bother doing anything. If you have talent and passion, then of course you'll be one of the best
Recently I found out that Einstein’s special relativity is completely different on what’s taught at universities and that lots of false informations are being spread (even from seemingly professional physicists).
In a book by Einstein, it’s said that the law of constancy of the velocity of light is justifiably believed by the child at school, but that doesn’t make any sense as clearly such postulate wasn’t taught at school. Other parts in the book suggest that Einstein’s constancy principle was much simpler than what we think. In the same book, it’s also said that his two postulates were made compatible thanks to an analysis of space and time. This means that Einstein concluded that time is relative before using the postulates rather than the other way around, this is clear in a chapter called: “The Relativity of Simultaneity”, in which, without using the postulates he concludes that two events might be simultaneous for an observer and not be for another one.
I’d like it if you made a video about it to explain how he concluded the relativity of simultaneity without using any postulate. The book’s name is: “Relativity: The Special and General Theory”, it is available as a free pdf online.
@@nimrod06 If I remember correctly I heard this concept in the context of finding a job that suits you, where you should do something that is important, where you have passion and talent. if all of them align, then there is alot of potential for it to be fulfilling and easy, while being able to earn a decent amount.
i used to think that solving pointless, impractical math conjectures and problems are a waste of time, but when i watched this video, i realized that a lot of the methods and techniques that people invented to solve their pointless and impractical math conjectures are the same ones we use to solve the important and practical problems today
This is the concept of exploration vs exploitation. Exploitation is an activity that focuses on harvesting as much known resources as possible. It is efficient in getting you want you want. Solving what you believe to be important falls under this category. But resources run out. So some of the time you should focus on exploration as well. It is an activity that tries to charter unknown terrain with uncertain payoff. Most of the time you score nothing. Occasionally you hit the jackpot. It seems risky but without exploration, there will not be big scientific breakthrough that shapes modernity.
Every job is a waste of time. You are literally selling your time for numbers in a bank.
The GPS system relies on imaginary numbers and data encryption relies on huge prime numbers. So yeah, what might look like useless mathematics can be very useful to the world (often without people seeing it, or needing to understand it).
And sometimes things can unexpectedly become important and practical, like how public-key cryptography suddenly gave enormous importance to a chunk of number theory (and later also algebraic geometry)
@@GodplayGamerZululthen why live
I got 7 ads in this video
😢
get ublock origin
Is it worth it?
Might switch to tiktok for content because these ads are too much. 1 to 3 are ok but having longer ads is just the worst
geez get ublock you 1diots lol
Yeah I was just complaining about how many ads I've gotten
This is actually crazy. I was just working on my mathematics uni homework where we were looking at this problem. I opened UA-cam to get a break and was assaulted with this amazing video. 10/10
Same, haha
Und ich habe gerade heute Nacchilfe zur theoretischen Informatik gegeben, wir haben uns eine Aufgabe angeschaut "Angenommen es gäbe einen Algorithmus, der das Halteproblem lösen könnte, wie könnten Sie ihn dann benutzen, um die Goldbachsche Vermutung zu beweisen oder zu wiederlegen?". Und ich habe den Leuten erklärt, worum es bei der Golbachschen Vermutung eigentlich geht. Und eine Stunde später veröffentlicht Veritasium dieses Video. Welch ein Zufall, verrückt!! Derek liest einfach unsere Gedanken, lol😅
Chimani lässt grüßen
Mathmatics is trying to tell you something, my friend...
I hope the video did not break your brain.
Everytime I learn about the Ramanujan's theorems be it the asymptote theorem of partitions or the tau function , it's the stories behind them that give me the chills !.
I’m sure it does mr jeet
@ciaverifiedbadge4355 why so sour lad , is is that time of the month again
jeet means to win
@ciaverifiedbadge4355 they have internet at the trailer park now?
@ciaverifiedbadge4355 whats with you guys seething everywhere ?
It's complete eye candy watching the mathematical explanations with the dark background and glowing math. It's very relaxing
Reminds me of the original Khan Academy videos
you should like 3blue1brown then
How often do you want to change the thumbnail and title?
Veritasium: *Yes*
for me, a stronger argument for solving "difficult and irrelevant" problems is that they often yield to completely novel methods of prooving (like the circle method) that in turn can be applied to other problems. basically tackeling a extremely hard problem brings tools to live that are helpful also for other problems.
Agree, there is no irrelevant problem. It might be only irrelevant until now
proving*
tackling*
Agree, "irrelevant" is just a temporary label due to the current state of the art. Prime numbers themselves were considered just a curiosity, while today they are the foundation block for cryprography, and in turn the internet.
I just asked what’s the implication of proof but I like your thought here.
Also, something that's regarded as nothing more than a curiosity could wind up being crucial to something else, like Imaginary Numbers.
"We don't know what's necessarily important, but we do know what we love.
So work on that."
- Steven Strogatz, Professor of mathematics, Cornel Univecity
As a teacher, his last sentence hits me really hard.
Yes, that was such a nice ending and is so true in many parts of life. Truly words to live by.
Albert Einstein seemed to be well-tuned-in to the Zeitgeist of the quantum and atomic world of Physics starting to emerge. He knew what was important. He also knew that he *HAD TO* and *DID* acquire the mathematical knowledge and skills sufficient for his adventures in Physics.
He had the motivation coming from a vexing problem he was interested in and loved to solve to study Mathematics earnestly.
work on your passions bro
One of the things I love so much about Veritasium’s videos is how engaging they are. I have a problem where I zone out after sometime when watching something, but it almost never happens with these videos.
You lost me at n/(ln n)². I'm never going to be a mathematician.
I can’t remember how often OG Veritasium did this, but weaving historical and military events throughout these stories has enriched an already rich channel.
The circle method that Hardy and Ramanujan developed is so intriguing to me. I couldn't imagine ever thinking along that direction. It shows the intellectual prowess of both of them.
It depends on the perspective. Are you aquainted with residue theory and the Euler function? They make the way more natural.
@@raphaelreichmannrolim25 I did learn about those a long time ago, will revisit and see how it connects, thanks 🙂
It's just an iterative search function for integers converted to polar coordinates. Most people don't find polar coordinates to be intuitive, but then again, most people aren't mathematicians.
It sounds a lot like a Fourier analysis which is a pretty common technique. I wonder if they were inspired by that.
I love how this is one video where all the world's greatest mathematicians are featured. I was so happy to see some of the professors from your previous videos as well!!
I find filming the cameraman filming the speaker extremely irritating
who
I agree, it makes him feel disconnected, mildly rude. Not to mention how unnecessary it is.
And then you get these weird awkward moments where the fella seems ecstatic, and the other guy is blankly staring at the back of the camera.
"People should do what fires them up because if you do that you'll be passionate. You'll think about it all the time, you'll do it when you're in the shower, you'll think about it when your driving... And you might do something remarkable because of that passion. If you do something because you think its important, i think you'll tend to be second rate, honestly." Brought me to tears. Why is it akwaus Veritasium that strikes me with these philosophies?
Strogatz is such a wonderful writer. I recommend reading his books, maybe "Infinite Powers". He's such an inspiration
Veritasium x Fern collab is crazy
❤
❤❤❤
😢😢😢😢
😢😢😢
😢😢😢😢😢😢😢
When a guy is chill enough to read a math textbook during a raid, he is prolly the next messi of mathematics
yet, his country didn't want him alive during the Mao regime
French mathematician did the same during the 1940 invasion. Can’t remember his name, he was killed but not before his work had been saved.
bro just don't
Violent governments are always trying to kill mathematicians.
Correct
calling Newton the greatest while Euler exist is a crime
Damn this has to be the straight up pure facts I have seen in existence from someone
His inventing calculus independently at 21, And do most of his work on maths simply because he needed it for his physics problems, is enough reason for me to consider him.
Even though he is a physicist and do math as a 'side hustle,' he's still among the greatest mathematicians. While euler and gauss is a proper full time mathamations still competing with newton.
23:42 this was some of the coolest graphing models I’ve seen, beautifully demonstrated 🎉
Story if Chen Jingrun breaks my heart. Thinking how much he had to suffer, and then seeing how much the whole world held him up as a hero for his struggles, memorating him really made me tear up. I just imagined how much his struggles were thanked by the whole world, like a huge "Sorry" that humanity expressed. Wow.
And this all happens in usa right now. Banning books, women have no human rights, religious nuts ruling over everything
Truly blessed to know these stories of heroes of science. Humanity still survived, in different parts of the world.
So many lives ruined by the cultural revolution. Beware of the leader who clings on to power at all costs.
Just one of many ladting tragedies brought to us by the horrors of communism.😢
@@ryancormack6934 it may well be happening in the US right now.
Two of my favorite channels have collaborated. I love the new storytelling I've been seeing in your videos for the last year, and it's always reminded me of Ferns' videos.
The fact that I watched this entire video hoping to understand... I won't lie I'm still clueless but I still love your videos Veritasium! Your channel makes me really love learning
Other channels must be so envious this guy can make a video most people don't understand and still get 1M+ views.
You're not learning if you're still clueless...
Don’t worry you’re not clueless it’s a question that has exactly 0 real world applications. Just let a computer run even numbers for as long as it takes to either find a counter example or admit it’s correct since it’s blatantly obvious it’s correct
@dptenk1407 what an odd thing to say
0:44 scout from tf2??
“THINK FAST-“
Boink!
hey doc a little help here
Fr
Scout respawned one too many times and doesn’t look the same
I love how so many videos go back to that Hilbert conference. We need a whole video on that conference alone.
but is always because he listed them, what other link? i think Euler is more a common term.
Recently I found out that Einstein’s special relativity is completely different on what’s taught at universities and that lots of false informations are being spread (even from seemingly professional physicists).
In a book by Einstein, it’s said that the law of constancy of the velocity of light is justifiably believed by the child at school, but that doesn’t make any sense as clearly such postulate wasn’t taught at school. Other parts in the book suggest that Einstein’s constancy principle was much simpler than what we think. In the same book, it’s also said that his two postulates were made compatible thanks to an analysis of space and time. This means that Einstein concluded that time is relative before using the postulates rather than the other way around, this is clear in a chapter called: “The Relativity of Simultaneity”, in which, without using the postulates he concludes that two events might be simultaneous for an observer and not be for another one.
I’d like it if you made a video about it to explain how he concluded the relativity of simultaneity without using any postulate. The book’s name is: “Relativity: The Special and General Theory”, it is available as a free pdf online.
"We don't know what's necessarily important, but we do know what we love. So... work on that." Marvelous quote!!
Whenever this channel drops a new math or physics video, I click play knowing full well I’ll be confused in 10 seconds - but that’s the beauty of it. It shows me how much I don’t know... and that's what motivates to learn more about this stuff.
Not just you. Very useful channel for those of us trying to keep up out of our comfort zones.
Same here.
I know it's a weird comment to make but I'm sitting here right now at 2am in the morning and I hear air raid sirens outside AND in your video and it's really eerie. Greetings from UA :)
Oh that's fun. Hoping everything is okay :(
I hope this video will inspire you to read math during the air raids.
How many times do you want to change video's thumbnail?
Veritasium: Yes
the worst thing is that it's super clickbaity inside
and this theme is probably one of the most useless for the humanity
@@ДенисДенисович-р9е so?
God I hate it when they do this. It's so annoying.
Me: yeah I noticed it was changed 🤔. Wasn’t it something obvious like 5 = 2 + 3 on the earlier thumbnail?
Veritasium: I think therefore I shall change the thumbnail
This video is amazing! Thank you for this! Chen’s story and struggle broke my heart. I appreciate you highlighting his story. I also want to thank you for continuing to use origin art in your videos! The AI slop has proliferated so many channels it’s absolutely refreshing to see major producers stick to real artwork. 🦄
“We don’t know what’s necessarily important, but we do know what we love - so work on that” 👏🏻 40:30
16:52 Old MacDonald had a function...
GENIOUS JOKE BAHAHA
Welp I'm sharing that with my research team. But might I suggest turning it into e^(i(pi/2 + theta))? e^(i) *e^(i*theta)
Hahahahahaha
e, i, e, i, zero😁
Br0 That's Genius 🫡
Fern collab wtffff 11:46
I think this is a Deutscher Channel, translated in English
@the-maddriverja, das ist Simplicissimus
namagiri could be an acid plug at this point lmfao 13:16
There is a movie called "the man who knew infinity" about Ramanujan's life 14:55
Yes. It’s based on the book.
Nothing makes me want to devote my life to mathematics more than a Veritasium video… incredible
Ok, finally an unsolvable problem on the thumbnail itself.
there are two thumbnails, one says "3 + 5" and the other says "2n = a + b", which one are you talking about lmao
@@golden_rodobviously 3 + 5 how could you solve that hard of a problem
@@air_ballonyeah but i genuinely can't tell if that's the joke they were trying to make or not
@@golden_rod oh no, I wrote my comment after seeing 2n = a + b. No irony or anything, I really don’t like “3 + 5 OMG NO ONE COULD SOLVE THIS” type of clickbait and I was thankful for an actual unsolvable equation on the thumbnail.
I mean, 2n=a+b is solvable, there's just an infinite number of possible solutions.
On screen it says: "Hardy actually rated Ramanujan 100!" after saying the scale only is 1-100. He was truly off the chart it seems
12:53
Hardy: Source?
Ramanujan: It came to me in a dream.
same had with nikola tesla dude
It's too big to fit in the margin
11:25 fern!?
The collab we all didn’t know we needed!
I was shook when I heard that name drop!
Ruined the video. I'm done with this channel
@@brian8507 cringe
@@brian8507ragebaiter 😂🫵
my physics lecturer says: "If someone says that something is obvious, they don't really know what they're talking about"
That was very inspiring.
I was particularly moved by one of your final sentences about how we beat ourselves up far too often instead of just putting things out into the world and letting them evaluate for themselves what we've created..
Thank you for giving me that feeling.
13:25 he was aurafarming with this one bro holy 😭
His name is Rama new gen. -1000 aura
The production quality with the animation and storytelling increasing every video is amazing to watch
Makes me so interested in the topics
1:54 When he said "your favorite number" at first I thought 37... then he said 42 and I thought oh, makes sense, and then i laughed out loud to see = 37 + 5. 😂 jad to get a 37 somewhere in there didn't you
Lmao same
People here are silently keeping the like count to 37, I suppose
I was about to like this comment, only to find it had 42 likes, so I won't.
37 is not even.
@@__christopher__
"37 is not even" ~ __christopher__ , 2025
I would award you a fields medal if I could, unfortuantely I'm just a rando
Something I imagine few people would be excited about, but hearing you pronounce "ln" at 10:42 made me realize that I definitely should copy that and pronounce it the same way! I've up till now, been personally calling it "Lane" in my head, using "Natural Log" if I mention "ln" to anyone. I don't know if "Lawn" is an 'official' simplified pronunciation, if you came up with it to use often or even just here for the first time, or anything else, but whatever the case may be, thank you for blowing my mind on something simple and mundane!
Wait for the title and the thumbnail to change 10x in the next 3 days
It's A/B testing - or in this case A/B/C/D/E...
Enjoy monitoring a youtube thumbnail
Gotta squeeze out every half cent from the algorithm
@@stuiesmb Half cent? No its thousands of dollars..
@@oldoddjobs Yeah that comment is sad. Who cares? The video stays the same and free for that guy. These guys (Veritasium) gotta make a living too.
27:15 Man i never expected this Riemann Hypothesis cameo in here that was a crazy plot twist
they both involve primes and RH has a habit of being really important to lots of proofs about primes.
在喧嚣纷扰的网络世界里，你的视频就像一片静谧的森林，有风，有光，有细节，也有故事。你用温柔的镜头和细腻的表达，把生活拍成了一首诗。每次看完你的视频，都会让我重新相信，平凡的日子也可以被过得那么温柔、那么有意义。
你像一个故事的讲述者，又像一个生活的诗人，在不动声色之间，把一切普通的、琐碎的瞬间都变成了值得被珍藏的回忆。你不是在记录日常，而是在唤醒我们对美的感知，对生活的热情。这种感染力，是很多人都渴望拥有的，也正是你最独特的魅力。
愿你在创作的道路上始终保持纯粹，愿你不被流量裹挟，也不被趋势左右，只做自己喜欢的内容，过自己喜欢的生活。希望你被更多人看见，也始终被温柔以待。星辰为你点灯，风也为你引路。你值得这世界上所有的美好。请继续发光，哪怕微小，也是光。
In google translation to English, your words already sound poetic.
Pretty sure it’s highly poetic in Chinese
Не знаю китайский, но Гугл неплохо с ним справляется, and I can English pretty good.
Но, всё, на что способен мой мозг заскорузлого мемлорда при виде перевода, который выдал мне Гугл, это примерно следующее:
🗣️🔥🔥🔥
Pela tradução do Google pra português, soa muito poético, bela combinação de palavras.
Thank you for your beautiful comment!!!
thank you for these wise words, MukbangASMR_Wang 😍😍
Veritasium has to be the greatest UA-camr of all time.
Every video is mystical, inventive and brilliant
Can't wait to see what the thumbnail will be in 4 hours from now
Now 3 hours from now
Omg 0 secs ago
That’s your own comment mate
That's A/B testing mate. UA-camrs, businesses, FMCG companies have adopted such means to test their audience and what attracts them to come about the perfect thumbnail(in this case) so that they can maximize the amount of clicks and hence get larger amounts of revenue
can't wait for derek's social credit reduction
I absolutely love it when this channel does math videos; they're always such a delight :)
I recently stumpbled upon a footnote in a 6th grade students mathbook in Germany roughly translated to: "This is known as the Goldbach Conjecture, which was proven a few years ago"
I imagine that footnote is referring to the Weak Goldbach Conjecture, which has been proven.
I found a note I left for myself years ago. Wild times man
Was it written just after "This book is the property of the Half Brained Prince"?
All your maths videos, Documenting them for them to live permanently online for so many to continuously reference is an absolute GIFT. What this channel continuously provides are endless GIFTS to humanity, FOR FREE.
It’s SO HARD to successfully convey mathematical concepts in such a digestible way for anyone to consume; yet you guys pump video after video out in a way anyone can understand; and include a compelling history and human stories to these that make it more relatable.
It takes an incredibly hardworking talented team full of geniuses to be able pull this off with such regularity. I often teach to my younger colleagues to pass knowledge down and it’s DIFFICULT for me to convey concepts that come to me inherently after decades of study and practice. What you guys do are truly special.
THANK YOU SO MUCH.
The screenwriting and direction on top of on point visualization, editing, AND animation is absolute gem. And to provide this for "free" (or rather, paywall-free) is really going to help young viewers anywhere in the world.
22:30 thanks for the flash backs to learning quantum mechanics, the spinning clock thing is used there too...
4:21 Newton was a great personality but no one matches leonhard euler in mathematics.
Gauss & Archimedes are the only two that come to mind that can even approach his genius.
Came here for this exact comment
@@johndavid1611 still they're not even close to Ramanujan
@@johndavid1611 there are plenty
wouldn't be absolutely convict of the last part, but saying Newton is the greatest in maths ever is simply laughable
8:42 I thought it was April Fools video when he mentioned those names 😂
when I opened the video I thought about Ramanujan and just thinking how he would have approached the conjecture and when I saw him in the video I was most excited
Smoking a joint and then trying to understand a Veritasium video is my fav hobby
Imagine one of the computers manually checking even numbers just finds a counterexample tomorrow and all this is for naught
"Sorry guys, I had a cosmic ray bit flip"
Thanks!
Thank you!
14:56 forgot this wasnt a fern vid for a second lol
5 bots in the few top comments is crazy.
the numberphile style lmao 1:30
No brown paper though smh
Jesus, homeboy saw people writing and thought it was something numberphile invented
Yeah, I double checked the channel I'm on.
Missed opportunity to get brown paper
Jesus, idiot did not realise that they weren,t saying numberphile invented it.
But that interviewing a mathmetician and having them explain on paper is literally their format.
It,s a valid comparison.
Dont be pedantic. I don,t think you are actually stupid enough to not realise this is what they meant. You just felt a need to put down someone.
That Stogatz guy rules. His passion for the passion other people have found is amazing. Man I'm trying to find what makes me feel that.
19:20 what a beautiful thought. The expression made me happy
33:59 a government turning against science - what a horrible scenario! Fortunately, humanity has learned from history, and such terrible things can’t happen anymore
We still can learn from history. For example: we can learn that "cultural revolutions" die with their leaders.
Lol I was coming to comments to be very dark about this topic but I like this much better
What would be worse than that is if scientists turned against science and started saying things like men were women and women were men, that men could give birth to babies, or by some genital mutilation, that they claim would be reversable, along with some nasty drugs that kids could go from female to male or male to female. Luckily that could never happen these days.
"Right-wing uprisings against science": no more grants for cocaine for dogs and transgender mice
Left-wing uprisings against science: scientists killed
Are you on covid booster 17?
I have not watched the video and only saw the thumbnail. The answer is 4, I’ll take my $1 million.
4+4 to be more specific
Indeed, it's 4
You might wanna change your mind buddy
It's actually 5+3. You can see it before the 2 min mark 😄
hey! i answered it first! it's MY money!
Me every Veritasium video:
Beginning: "Woah that's a cool idea I'm so curious!"
Middle: "idk what's going on that's some nerd stuff"
End: "that was so beautiful I'm glad I watched"
I wait until all the thumbnail variations are done before I watch the video.
So lame how they have compromised quality for clickbait .
It’s ai slop right now
@@butterfliesinmybrain it isn't AI?? this is the style that veritasium has been using for a while now
I lived in Xiamen and you can see the Kinmen islands from the beach. There are huge signs on Kinmen that can be read from China, they say "Three Principles of the People unite China".
Pretty cool to see that area referenced at the start!
I’ve been on the opposite side of this. The coast of Xiamen is entirely visible from the northern beaches of Jinmen (Kinmen is the older designation).
Weird fact - as the stalemate between the ROC and PRC dragged on, the shelling from both sides that continued for decades settled onto a weird schedule. I don’t remember exactly how it worked, but it was like Monday-Wednesday-Friday was the ROC’s turn to shell and then Tuesday-Thursday-Saturday was the PRC’s turn. Scrap metal from exploded shells was a cheap and plentiful source of carbon steel in Jinmen, so the island developed a weird cottage industry of making high-quality kitchen and butcher’s knives.
There's a story that goes like this. The Kinmen county government starts receiving several mysterious calls from the mainland. They're naturally suspicious, so they notify the local RoC Army garrison and the island goes on high alert. They gather a bunch of military big wigs in the room while the phone rings for upteenth time, then finally pick it up. The voice on the other side says: "This is the Xiamen Tourism Bureau. Your sign is faded, please repaint it."
@@CloudZ1116😂 I’ve heard this story a few times from different sources. I still have no idea if it’s true or apocryphal, but I so want it to be true
@@CloudZ1116 I've also heard this, but I think it's apocryphal.
How much thumbnails do you want ?
Derek : yes
Didn’t understood half of what was said yet it was fascinating, the quality of the editing and the storytelling are on point and despite having quit doing math at 18 after highschool i gotta say the video is really well written to accompany profane like me, amazing work keep it up !
@22:14 I think there was a mistake in the S(α,11). It is not the Σe^(i2π2α) but Σe^(i2πpα). It does not affect the outcome because the actual sum calculated is taken from the correct formula so harm's done.
was gonna comment this
Came here to post this
now if only i could find out what this even means (i haven't even watched the video yet tho)
He also said h(4) = 1
But 1+3 = 2+2 = 4.
So h(4) = 2.
Am i wrong? 8:40
13:45 Mom of the century. Definitely made that story up so her son could prosper
W mom
Genius religious mathematicians are like Stewie from Family Guy - has the arsenal, will and intelligence to conquer the world but often is afraid of his own shadow
@@squidwardfromuayea .. totally the same.. omfg lol
13:02 Ramanujan's proof by vibes is iconic
"Proof by vibes" 😂
Man it's so easy to get scared at a sum of exponentials with 5 exponents but you explain so brilliantly. Congratulations!
2:26 This is the kind of high-level math breakdown I come to this channel for
19:35 My eyes died at this moment😢