Fields Medal winner Cedric Villani explains the many mysteries of Pi • RFI English

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  • Опубликовано: 6 фев 2025
  • March 14 is celebrated as Pi day every year. The date 3/14, corresponds to the first three digits of the famous mathematical constant. According to Fields medal winner Cédric Villani, IHES-Université de Lyon Chair in Analysis, pi is an emblematic number and a key cornerstone in many subjects of mathematics.
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Комментарии • 191

  • @imaginationpictures
    @imaginationpictures 10 месяцев назад +421

    It's also remarkable that the video length = 2pi

    • @yanfranca8382
      @yanfranca8382 10 месяцев назад +8

      And 2pi (also known as tau) was almost used as the constant. It was by chance that pi = 3.14... and not 6.28... If you think about it, it would make much more sense for pi to be equal to 6.28. In this scenario, C = R*pi', and not C = R*2*pi. It would be more elegant.

    • @PresCalvinCoolidge
      @PresCalvinCoolidge 10 месяцев назад +4

      OMG! that's too funny!

    • @tinu5779
      @tinu5779 10 месяцев назад +9

      @@yanfranca8382 On the other hand when using the diameter instead of the radius the circumference is just d*pi. That is good for practical work since measuring the diameter is easier than measuring the radius.

    • @pablohuerta8771
      @pablohuerta8771 10 месяцев назад +3

      😂😂😂😂😂😂

    • @ronnie9187
      @ronnie9187 10 месяцев назад

  • @stephenconnor6309
    @stephenconnor6309 10 месяцев назад +30

    I could listen to this Professor speak about maths all day long. Very charismatic,

    • @elias_abs
      @elias_abs 8 месяцев назад +1

      He’s the proud of our country in France, he’s very famous for having won the title of “Médaillé Field » in 2010 which is incredible, he studied maths in the best schools of France and got many diplomas, I would so much like to meet him !

  • @hankseda
    @hankseda 10 месяцев назад +58

    Cedric is always worth hearing. Remarkable man 👍

  • @scozember
    @scozember 10 месяцев назад +102

    You can tell that he really loves his work.

    • @jamesMarjan
      @jamesMarjan 10 месяцев назад +1

      Yes clear as day.

  • @Lambda69
    @Lambda69 10 месяцев назад +85

    He writes on board elegantly

    • @Beefmongering
      @Beefmongering 10 месяцев назад +5

      Probably has hagoromo chalk

    • @gwh0
      @gwh0 10 месяцев назад +1

      Didn't get that far. Hand gestures already too annoying.

    • @nathansudermann-merx4586
      @nathansudermann-merx4586 10 месяцев назад

      I thought the same

    • @caduaraujo331
      @caduaraujo331 10 месяцев назад +1

      mathematicians are naturally drawn to such elegance.

    • @doctorpatient519
      @doctorpatient519 9 месяцев назад +1

      that circle he draws -- counter clockwise -- at 1:15 is exquisite ... and extra style points for that large, rich blue "tie" he's wearing

  • @GILBERTPASIONA
    @GILBERTPASIONA 10 месяцев назад +47

    Prof. Villani's Explanation of pi is the best one I have encountered even for a non-math expert like me. Thank you Professor.

  • @elias_abs
    @elias_abs 8 месяцев назад +3

    Fiers d’avoir Cédric Villani en France ! Quel mathématicien d’exception !

  • @ambar1947
    @ambar1947 10 месяцев назад +83

    I'm a simple learner ... I see prof. Villani, i watch the video 'til the end

    • @charlesbaoumar
      @charlesbaoumar 10 месяцев назад +2

      Absolutely

    • @sleepycritical6950
      @sleepycritical6950 10 месяцев назад +2

      Isn’t he the dude that got the medal for a result on the fluid equation? I read his book on it and it was a very interesting read.

  • @Kaleckian
    @Kaleckian 10 месяцев назад +70

    How can you not love this guy.

    • @jcjc5702
      @jcjc5702 10 месяцев назад

      I dont
      dresses like a low self awareness dork

    • @arileo6304
      @arileo6304 10 месяцев назад +1

      @@jcjc5702 😆😆😆

    • @michela5517
      @michela5517 10 месяцев назад +1

      @@jcjc5702then you don’t like him. Smart for sure..

    • @john-bloss
      @john-bloss 10 месяцев назад +2

      @@jcjc5702He’s a dork who has won the Field Medal. I think that gives him the right to dress any way he wants. Besides his enthusiasm for talking about mathematics is terrific.

    • @scrumptious9673
      @scrumptious9673 10 месяцев назад

      @@jcjc5702you comment like a low emotional intelligence dork

  • @electrum310
    @electrum310 10 месяцев назад +10

    Excellent ! Congratulations for the Fields medal.

  • @jlunde35
    @jlunde35 10 месяцев назад +8

    Love this guy. So brilliant yet relatable.

  • @superbatman3762
    @superbatman3762 10 месяцев назад +153

    The length of the video is 2π

    • @rubensilvera1164
      @rubensilvera1164 10 месяцев назад +1

      Amazing 😂

    • @sobhysoliman6124
      @sobhysoliman6124 10 месяцев назад

      Please explain

    • @g57r42
      @g57r42 10 месяцев назад

      Actually not, despite the fact that 2π equals 6.28 the whereas the video is 6:29. Hence, it can not be approximated to 6.29. However, the length of the video is 6:29 and not 6.29, as it is shows a relative notation of time but with 2 different unit of measurement, have a nice day!

    • @Luffy31236
      @Luffy31236 10 месяцев назад +1

      @@g57r42Actually, you may have been misinformed. The actual length of the video is 6.28, which is a multiple of π's approximation. Have a great week!

    • @AnantKumar-on1rw
      @AnantKumar-on1rw 10 месяцев назад +1

      Wow

  • @margerdei
    @margerdei 10 месяцев назад +10

    Love this explanation of Pi. Professor Cedric Villani is my favorite mathematician.

  • @josemanuelramirezleon7663
    @josemanuelramirezleon7663 10 месяцев назад +2

    He talks with such passion, I love him ❤❤❤

  • @corkkyle
    @corkkyle 10 месяцев назад +37

    Perfect! Video is 6:28 long!

    • @reqontra
      @reqontra 10 месяцев назад +1

      Yep, fully circled!

    • @WasickiG
      @WasickiG 10 месяцев назад

      First thing I’ve noticed, even though for some reason it reads 6:29 here.

  • @tuhinmajumder6680
    @tuhinmajumder6680 10 месяцев назад +3

    Thank you Prof. Villani

  • @paulg444
    @paulg444 10 месяцев назад +1

    Thank you for that !.. We love you guys !

  • @countryside6550
    @countryside6550 10 месяцев назад +6

    humble guy

  • @ukdavepianoman
    @ukdavepianoman 10 месяцев назад +1

    Very clearly explained and with a lot of enthusiasm.

  • @jimbojet8728
    @jimbojet8728 10 месяцев назад

    Fascinating! What an answer to a simple question. Thank you.

  • @edadan
    @edadan 10 месяцев назад +1

    I love his enthusiasm and would love to take a course (any mathematics course) from him!

  • @yanfranca8382
    @yanfranca8382 10 месяцев назад +1

    What a delightful class about pi!

  • @terencemeikle534
    @terencemeikle534 10 месяцев назад +2

    To anyone out there who doesn't already own a copy, I would recommend Cedric's book, "Birth of a Theorem." One of the most exciting and inspiring mathematical reads I've come across. (And he looks particularly dashing on the cover, too!) Quite a guy. 👍

  • @JobBouwman
    @JobBouwman 10 месяцев назад +2

    The integral of the Cauchy Distribution f(x) = 1/(1 + x^2) also evaluates to pi, when integrated from minus infinity to plus infinity.

  • @hrperformance
    @hrperformance 10 месяцев назад +1

    well that certainly put a smile on my face
    thanks for the video

  • @bluesy666
    @bluesy666 10 месяцев назад +4

    this guy is fantastic

  • @robinhillyard6187
    @robinhillyard6187 10 месяцев назад +16

    Why does everyone forget that Euler’s identity also uses the four basic operators: addition, multiplication, exponentiation, and equality?

    • @JobBouwman
      @JobBouwman 10 месяцев назад +10

      This video is about pi, not about Eulers identity.

    • @pigeonlove
      @pigeonlove 9 месяцев назад +2

      Who forgot? It's not about operators.

    • @amar-ali6065
      @amar-ali6065 3 месяца назад

      exponential and multiplication operators are shorthand forms of addition

    • @robinhillyard6187
      @robinhillyard6187 3 месяца назад

      @@amar-ali6065 LOL ;)

    • @brb4903
      @brb4903 3 месяца назад

      maybe because multiplication and exponentiations are not basic, they are just addition

  • @nagaraju332
    @nagaraju332 9 месяцев назад

    Excellent, I appreciate His initiative feeling regarding that Five appearing in that.
    There is some limitations to explain this through Language even though the Professor trieying for some thing to understand that 👍

  • @paulwilson3324
    @paulwilson3324 9 месяцев назад +2

    I like how the Frenchman holds the chalk like a cigarette 😆

  • @Thoth608
    @Thoth608 10 месяцев назад +1

    this dude is my inspiration

  • @r-zu173
    @r-zu173 5 месяцев назад

    Wow, I really love to listen about mathematics Couse I understand the way how he teach

  • @benediktmaier6388
    @benediktmaier6388 10 месяцев назад +5

    I am sure people got lost the first second he tried to explain 2*pi*r but his r looks exactly like a pi

  • @tadessebekeshie7231
    @tadessebekeshie7231 10 месяцев назад +8

    Pi is irrational, transcendental, universal, emblematic constant and the equation that relates the constants 0,1,pi,e and i is really fascinating as it relates constants with different historical background. Mathematicians do mathematics primarily for its beauty and not for the applications their works may have, as do painters, musicians and other artists.

    • @pigeonlove
      @pigeonlove 9 месяцев назад

      Mathematicians have as many reasons for doing their subject as any other subject, including money.

  • @vinaykumarsingh5360
    @vinaykumarsingh5360 10 месяцев назад +3

    He is good I wud like to listen to him next time 😊

  • @FisicoNuclearCuantico
    @FisicoNuclearCuantico 8 месяцев назад

    I love this guy.

  • @santhoshkumarp2361
    @santhoshkumarp2361 10 месяцев назад +1

    Love you man❤

  • @maheshbhatt1255
    @maheshbhatt1255 10 месяцев назад +3

    Excellent.

  • @DanielMartinez-ss5co
    @DanielMartinez-ss5co Месяц назад

    I'm electronic engineer, and during my career (early years) always wonder if the PI (treated as a constant) appearing in tons of formulae (also in statistics), with its original meaning attached to euclidean geometry affected those formulae in non euclidean geometries, are those formulae still valid with the value of PI as the constant (3.14159...)?

  • @eliteintelectual.9948
    @eliteintelectual.9948 10 месяцев назад +4

    I like the way of writing 1 of Europeans that is the real 1 , not like Americans that write it like a letter l, it doesn't make sense really

  • @ILYA1991RUS_Socratus
    @ILYA1991RUS_Socratus 25 дней назад

    Я по физике во французском заочном лицее Авангард учился. Спасибо)

  • @denismijatovic1239
    @denismijatovic1239 10 месяцев назад

    Every scientist should be this charismatic

  • @technology28
    @technology28 10 месяцев назад

    Excellent video.

  • @Cant_find_good_Handle
    @Cant_find_good_Handle 9 месяцев назад

    The key thing I learned from this video is that I could have just been using 22/7 all these years. It's close. Pi is 99.95% of 22/7.

  • @Andrew-kf4qp
    @Andrew-kf4qp 9 месяцев назад

    Very cool style.

  • @HowardARoark
    @HowardARoark 15 дней назад

    Seems like a very gifted fellow, he has a nice old-fashioned style. Mathematics is a state of mind and it improves the spirit. Its sad though to see the dark side of the mathematical community. The solver of the Poincare Conjecture, Gregori Perelman, left the community because he was so upset with them. There is a tendency for it to reject the non-mainstream type of person and ignore their work - then that work could be represented later in someone else's name - that's not nice. Perelman refused a $1million prize as he acknowledged the other mathematicians' contribution to his work. I came up with a new proof of an old mathematical theorem and was told any maths class could "sit down" and be given that problem and solve it easily - so you have 6 existing proofs, presented in an academic paper from a major university, so now come up with a 7th. So a maths class could just "sit down" and do that at the teacher's request? I'm not so sure about that. That's the kind of attitudes you are up against. You shout Eureka! and they just want to clobber you. But fair enough Cedric seems to be a damned good mathematician, good luck to him, he has been given a gift. Always remember to be thankful for what we receive. Everybody wants sex and money but what we give is an important thing too. 43653

  • @sinichitaniyama
    @sinichitaniyama 7 месяцев назад

    1:16
    Quelle est la différence entre un cercle et un cercle parfait ?

  • @johnaugsburger6192
    @johnaugsburger6192 10 месяцев назад

    Thanks

  • @andrejsmiezers3865
    @andrejsmiezers3865 10 месяцев назад +5

    this how genius looks like :)

  • @JanGeertBruggink
    @JanGeertBruggink 10 месяцев назад

    Great guy

  • @HarshColby
    @HarshColby 10 месяцев назад +1

    3 Blue 1 Brown just did a video on why Pi is in e^(-x^2).

  • @CharrifMozaachi-bs7ns
    @CharrifMozaachi-bs7ns 6 месяцев назад

    Un homme remarquable

  • @ThomasMann85643
    @ThomasMann85643 10 месяцев назад

    So interesting.

  • @theMuritz
    @theMuritz 10 месяцев назад

    Although rough in facial appearance, he dresses like a distinct gentleman … ❤

  • @electrum310
    @electrum310 10 месяцев назад

    π also appears in the probability density function of the normal distribution.

  • @rickrick5041
    @rickrick5041 10 месяцев назад

    it's not possible for 2.7 raised to any power to be less than 0 so how can e raised to ipie be -1?

    • @Andrew-kf4qp
      @Andrew-kf4qp 9 месяцев назад

      e^{pi*i} = -1. The number e is not raised to a real number. i = sqrt{-1} which is not a real number.

    • @rickrick5041
      @rickrick5041 9 месяцев назад

      @@Andrew-kf4qp Artificial

  • @fabios.253
    @fabios.253 10 месяцев назад

    All of this using base 10
    Maths with base 16 instead, where Pi is an full number are very interesting.

  • @delq
    @delq 10 месяцев назад

    Never knew Jordan Schlansky was a secret mathematician

  • @James-bv4nu
    @James-bv4nu 10 месяцев назад

    Thank you for this video.
    When you're talking about PI, please do not write 'r' like 77 (like pi)
    Please.

  • @CosmopolitanXMan
    @CosmopolitanXMan 10 месяцев назад

    From the explanation and all the examples, I got the feeling that pi has a characteristic of something "full circle" with "infinity inside it".

  • @Benson_Bear
    @Benson_Bear Месяц назад

    3:09 "1 - 1/3 + 1/5 ... eventually it will end up being something like pi/4": something LIKE pi/4 lol!

  • @blitziam2105
    @blitziam2105 10 месяцев назад

    He loves his job

  • @ILYA1991RUS_Socratus
    @ILYA1991RUS_Socratus 25 дней назад

    А я как-то также нарисовал несколько разных таких кругов и увидел что пи разное!)

  • @hugowilliams1988
    @hugowilliams1988 10 месяцев назад

    Is there world e day ? e is also very interesting number.

  • @manfredbogner9799
    @manfredbogner9799 10 месяцев назад

    Sehr gut

  • @EricPham-gr8pg
    @EricPham-gr8pg 10 месяцев назад

    Pi is not constant because if you measure various pipes use around the home then it prove that pipe is not constant but change with size of radius

  • @johnconn982
    @johnconn982 10 месяцев назад

    Amazing to listen to,however I didn’t understand a word he said never mind getting the concept. But still fascinating to listen to these ideas.

  • @barashah1171
    @barashah1171 10 месяцев назад

    wow....his love for pi is like pi it self...everblasting....

  • @danielbrstak5730
    @danielbrstak5730 10 месяцев назад

    I envy all math geniuses.

  • @dmitrys2854
    @dmitrys2854 10 месяцев назад +1

    Firstly thought it’s longhair Savateev😂

  • @sobhysoliman6124
    @sobhysoliman6124 10 месяцев назад

    PI is an old Egyptian invention.
    If you divide the circumference of the base of the pyramid by its height the result is 2 pi

  • @TheBozmeister
    @TheBozmeister 10 месяцев назад

    Im 51 and born on March 14th. Why have I just heard that it is PI day?

  • @thegreatreverendx
    @thegreatreverendx 10 месяцев назад

    It’s all in the tie.

  • @briankelly5828
    @briankelly5828 10 месяцев назад

    This video made me eat humble pi.

  • @TymexComputing
    @TymexComputing 8 месяцев назад

    Wow - he looks just like Mr Perelman :DD

  • @colinmilton8823
    @colinmilton8823 10 месяцев назад

    I don’t think it’s possible to prove that a perfect circle, a perfect sphere exists where the radius must therefore be of equal length at every point. There must be some degree of imperfections within everything. Infinity is the reason why.

  • @leeoswald9799
    @leeoswald9799 10 месяцев назад

    I would love to take a class taught by him.

  • @JobBouwman
    @JobBouwman 10 месяцев назад

    Misleading title: there are no mysteries about pi. All these formulas can be shown to be related so a circle.

  • @barryzeeberg3672
    @barryzeeberg3672 10 месяцев назад +2

    He speaks with a lot of enthusiasm, but in truth the material he covers here is just standard stuff that is covered in countless RUclips videos and in standard math classes at, say, introductory college level.

    • @maximlamoureux4129
      @maximlamoureux4129 10 месяцев назад +4

      It’s a news segment

    • @lordhenry2965
      @lordhenry2965 10 месяцев назад +7

      Of course, but this video is for general public.

    • @NorthCalm
      @NorthCalm 10 месяцев назад +5

      Yea because he is not giving a lecture here. The interviewer probably already told him that this will only be a short interview and he provided good information for the average guy who is not much aware of pi

    • @JobBouwman
      @JobBouwman 10 месяцев назад +2

      A genius should also be able to explain the basics, without diverging into complex but obscure details to show off how smart he really is.

  • @ghevargheese
    @ghevargheese 10 месяцев назад +2

    "mysteryes fo Pi" my god...

  • @RodolfoMtzZ
    @RodolfoMtzZ 10 месяцев назад

    pi number is magic number.

  • @boywonder6659
    @boywonder6659 10 месяцев назад +1

    For me, it proves Jesus exists.

    • @MADBurrus
      @MADBurrus 10 месяцев назад +1

      How is this?

    • @boywonder6659
      @boywonder6659 10 месяцев назад

      @@MADBurrus All this maths stuff and how it all fits together can’t possibly be just chance, to think so is absurd.
      Do you not think so?

    • @MADBurrus
      @MADBurrus 10 месяцев назад

      @@boywonder6659 oh it is all math….just not the math this guy is talking about…he is just making videos of anomalies that a hundred other men in history have all ready discovered… the real math is not going to be on RUclips my friend

  • @ИгорьДымченко-к9л
    @ИгорьДымченко-к9л 10 месяцев назад

    The nature of π is TOPOLOGICAL.

  • @komasaeufer
    @komasaeufer 10 месяцев назад

    Pi is also very delicious.

  • @sonarbangla8711
    @sonarbangla8711 10 месяцев назад +1

    Ramanujan had a formuls giving the particular decimal place value of pi

  • @babbarr77
    @babbarr77 10 месяцев назад +1

    He only won because he’s cute.

  • @timofeysobolev7498
    @timofeysobolev7498 7 месяцев назад

    length is 2pi)

  • @countryside6550
    @countryside6550 10 месяцев назад

    his face is also similar to Pi

  • @amaysharma1909
    @amaysharma1909 10 месяцев назад

    1:14
    Mathematicians > If this a circle
    Physicians >its a ring 👽👽

  • @islamaroc
    @islamaroc 10 месяцев назад

    Pi is a signature of Allah creator of the seen and the unseen

  • @atabac
    @atabac 8 месяцев назад

    i thought he was Jordan Schlansky😂

  • @markgraham2312
    @markgraham2312 10 месяцев назад

    He should have talked for longer.

  • @claudiopinheiroprestes4203
    @claudiopinheiroprestes4203 10 месяцев назад

    Esse assunto, é a tarefa de casa que o professor de Leibniz lhe deu 1no infinito = 2

  • @wissamahmed6713
    @wissamahmed6713 10 месяцев назад

    لحد نصد الفديو كنت فاهم وراهة تاهة الامور مني 😐

  • @pasavant
    @pasavant 10 месяцев назад +1

    Is this the new math?

  • @dr.merlot1532
    @dr.merlot1532 10 месяцев назад

    The vampire mathematician.

  • @Benhachem-zi3dq
    @Benhachem-zi3dq 10 месяцев назад

    At thé beg we laughed lot aboutthe fameuse Pi:3,14 from where?
    Even if Givenchy premium

  • @chizirada865
    @chizirada865 9 месяцев назад

    Prof you are wrong. Zero, 0 is not a number for nothing or denoting nothing. 0 is also a tangible quantity eg. 10, 10001 etc.

    • @brb4903
      @brb4903 3 месяца назад

      I ate 0 pies, now I'm full

  • @Fidel-r9o
    @Fidel-r9o 10 месяцев назад

    I have an Idea about this nember..si i think there IS one direction un Coran for Muslims..that god Saïd...thé two sea meet eatchother but non mix

  • @danielleite8131
    @danielleite8131 2 месяца назад

    now he looks a bit like Perelman.

  • @r0xkr
    @r0xkr 10 месяцев назад

    Hi