Ramanujan's Magnificent Formula For π

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  • เผยแพร่เมื่อ 29 มี.ค. 2023

ความคิดเห็น • 144

  • @shaikhjamilshaikhjamil3980
    @shaikhjamilshaikhjamil3980 6 หลายเดือนก่อน +567

    Ramanujan was really a fantastic mathematician of India

    • @Fallen_911
      @Fallen_911 4 หลายเดือนก่อน +13

      Still most Indians don't know him😢😢

    • @gordonrules123
      @gordonrules123 4 หลายเดือนก่อน +18

      Of the world

    • @Stree_158
      @Stree_158 3 หลายเดือนก่อน +10

      * World

    • @brycepeddicord6763
      @brycepeddicord6763 3 หลายเดือนก่อน +3

      India and Indians really needs more hype than they get

    • @aryan_yadav-zi2bp
      @aryan_yadav-zi2bp 3 หลายเดือนก่อน

      ​@@brycepeddicord6763*world

  • @g45sp4
    @g45sp4 2 หลายเดือนก่อน +328

    “The numbers were revealed to me in a dream”

    • @ADHAYAN_RANA
      @ADHAYAN_RANA หลายเดือนก่อน +26

      Yes A Goddess which he worshipped used to teach him maths in his dreams!

    • @LOVERB0i
      @LOVERB0i หลายเดือนก่อน

      What ? ​@@ADHAYAN_RANA

    • @calicoesblue4703
      @calicoesblue4703 หลายเดือนก่อน +2

      @@ADHAYAN_RANAIt was a Demon not a Goddess 🤷

    • @ADHAYAN_RANA
      @ADHAYAN_RANA หลายเดือนก่อน +20

      @@calicoesblue4703 No, A goddess name Namgiri used to teach him in his dreams, He actually said!

    • @moonrabbit2334
      @moonrabbit2334 หลายเดือนก่อน

      ​@@calicoesblue4703 zip your mouth if you don't know shite

  • @The1stDukeDroklar
    @The1stDukeDroklar 18 วันที่ผ่านมา +44

    Such a tragic loss to the world when he died so young.

  • @IND10166
    @IND10166 28 วันที่ผ่านมา +37

    The 'S' in S.Ramanujan stands for Sigma

    • @user-kk2rq3sp3l
      @user-kk2rq3sp3l 9 วันที่ผ่านมา +5

      Good one, but in reality it stands for SRINIVASAN

    • @Anonymous82819
      @Anonymous82819 13 ชั่วโมงที่ผ่านมา

      Cringe af lil bro grow up already

    • @Ayushhhh0001
      @Ayushhhh0001 7 ชั่วโมงที่ผ่านมา +1

      Srinivasa🦢

  • @Chaudharysahab207
    @Chaudharysahab207 6 วันที่ผ่านมา +6

    Math :- student fear with me
    Ramanujan :- math fear with me 🗿☠️

  • @giovannifontanetto9604
    @giovannifontanetto9604 5 หลายเดือนก่อน +311

    He took the numbers out of his godlike mathematicians ass, which is complitely valid.

    • @clashonleagendgamer2244
      @clashonleagendgamer2244 5 หลายเดือนก่อน +8

      What do you want to say?

    • @giovannifontanetto9604
      @giovannifontanetto9604 5 หลายเดือนก่อน

      That he probably saw infinite series purely out of instinct, like he was born with some very specific intelligence he had on top of his mathematical prowess.@@clashonleagendgamer2244

    • @rashmisingh624
      @rashmisingh624 5 หลายเดือนก่อน

      Chill, it's a joke​@@clashonleagendgamer2244

    • @SODIUM10
      @SODIUM10 4 หลายเดือนก่อน +27

      ​@@clashonleagendgamer2244 you must be new to internet.

    • @anoopgupta4635
      @anoopgupta4635 4 หลายเดือนก่อน +16

      You can choose to be more courteous with your language while talking about such greats .

  • @Time..traveller
    @Time..traveller 5 หลายเดือนก่อน +101

    Happy birthday day Ramanujan

    • @kobrakaigaming
      @kobrakaigaming 25 วันที่ผ่านมา +1

      it's called "Birth anniversary "

  • @IND10166
    @IND10166 28 วันที่ผ่านมา +28

    What's the proof?
    "The universe revealed it to me" - S Ramanujan

  • @Bluecollarjoe6B9
    @Bluecollarjoe6B9 3 หลายเดือนก่อน +30

    Ramanujan spoke the language of Gods.

  • @BacklTrack
    @BacklTrack 4 หลายเดือนก่อน +40

    I always wondered how mathematicians came up with the fuckin numbers.

  • @jiteshkumarnetam1008
    @jiteshkumarnetam1008 9 วันที่ผ่านมา +5

    Proud to be indian 🇮🇳

    • @Renegade1710
      @Renegade1710 4 วันที่ผ่านมา

      Don't worry bro
      He applied University of madras many times and they rejected him. Then University of Cambridge recognized him! So yea we Indians must not say proud, cuz he would have been a Lost star if Cambridge didn't recognize him! 😔 indias fate

  • @bixx36
    @bixx36 2 วันที่ผ่านมา +1

    "The Devi, I worshiped told it to me in a dream."

  • @YousefGamer_Lol
    @YousefGamer_Lol 5 ชั่วโมงที่ผ่านมา

    I gotta say ramanujan is the greatest mathematician

  • @kunalofficial_
    @kunalofficial_ 4 หลายเดือนก่อน +48

    Ramanujan was an avatar of God as we know he was blessed by a devi 🕉️

    • @Lazerdart
      @Lazerdart 3 หลายเดือนก่อน +9

      Devi is not a thing, But Allah the all knowing and all mighty, has given him a smart mind.

    • @cannibalisticvegitarian.
      @cannibalisticvegitarian. 3 หลายเดือนก่อน

      ​@@Lazerdart Allah couldn't even gave mohamad a mind that he should not have sex with a 9 year old let alone the theorem 😂😂😂😂

    • @RizawanAnsaari
      @RizawanAnsaari 3 หลายเดือนก่อน +8

      But he said it was Devi

    • @RizawanAnsaari
      @RizawanAnsaari 3 หลายเดือนก่อน +6

      But he said it was devi

    • @stormatime9426
      @stormatime9426 3 หลายเดือนก่อน +6

      Bro ramanujan is not any avatar he is blessed by Devi as he said.

  • @tacobender1643
    @tacobender1643 7 หลายเดือนก่อน +71

    From Archimedes, tp Leibniz, to Ramanujan......

    • @calicoesblue4703
      @calicoesblue4703 6 หลายเดือนก่อน +6

      Archimedes got it From Africa.

    • @stevenwongso66
      @stevenwongso66 2 หลายเดือนก่อน

      ​@@calicoesblue4703Either Archimedes got the basic ideas from Euclid or Eratosthenes

    • @calicoesblue4703
      @calicoesblue4703 2 หลายเดือนก่อน

      @@stevenwongso66 No dude, what you are saying is absolutely false.

    • @stevenwongso66
      @stevenwongso66 2 หลายเดือนก่อน

      @@calicoesblue4703 Oh really? Then what is the correct one? Because Archimedes was in Alexandria (Africa Continent)

    • @calicoesblue4703
      @calicoesblue4703 2 หลายเดือนก่อน +1

      @@stevenwongso66 Archimedes, Herodotus & other Greek Historians said themselves they were taught everything buy the Black Africans. They got everything from Africa, Kemet/Egypt. The Pythagorean Theorem had already been discovered & was being utilized in Africa hundreds of years before Archimedes.

  • @xinpingdonohoe3978
    @xinpingdonohoe3978 หลายเดือนก่อน +4

    It's really random that I recognise the writing on the shot of the earth as his proof of his master theorem.

  • @Speed85
    @Speed85 7 หลายเดือนก่อน +65

    9801 is square of 99 and 1103 is........................

    • @PieVio
      @PieVio หลายเดือนก่อน +1

      Yes, I also got that one.

    • @Deoxys_da2
      @Deoxys_da2 13 วันที่ผ่านมา +2

      So why 99?

    • @NeevShrivastava
      @NeevShrivastava 6 วันที่ผ่านมา

      ​@@Deoxys_da2bcuz it's = 100-1 😂

    • @champu823
      @champu823 14 ชั่วโมงที่ผ่านมา

      ​@@Deoxys_da2we be too dumb to know 💀

  • @user-bv5ir1bc2c
    @user-bv5ir1bc2c หลายเดือนก่อน +3

    Pure spiritual genius ❤❤❤

  • @bishnuprasadpahari3780
    @bishnuprasadpahari3780 2 หลายเดือนก่อน +15

    Ramanujan was born in 1887. In 1666 Newton had already calculated 16 digits of pi using calculus.

    • @Dipanshu111
      @Dipanshu111 2 หลายเดือนก่อน +22

      Even before Newton, Mathematician
      Madhav had invented the leibniz series. But it didn't get any recognition at the time.
      Now that series is known as
      Madhav-Newton-Leibniz series.

    • @champu823
      @champu823 14 ชั่วโมงที่ผ่านมา

      ​​@@Dipanshu111madhav - gregory sereies actually gregory a mathematicians found the inverse tangent series before leibinitz and madhav found it before gregory

  • @musicofficial6924
    @musicofficial6924 6 วันที่ผ่านมา +1

    Just think in bottom of division , 3,6,9 are the major numbers when we add them and in top , when we add them 3,6,9 we get but with 4. So to remove this 4 I think he used 4k and k^4

  • @takeiteasybruh
    @takeiteasybruh หลายเดือนก่อน +3

    he had fractal mind

  • @Ahsan67890
    @Ahsan67890 3 หลายเดือนก่อน +2

    Mathematical prowess at its best an admirer from Pakistan

  • @PopeLando
    @PopeLando หลายเดือนก่อน +2

    Very happy to learn that I've been saying Ramanujan's name right all these years. rah-MAH-noo-jan.

  • @eobardthawne6903
    @eobardthawne6903 5 หลายเดือนก่อน +39

    Ancient Aliens 😅

  • @RejectedAustrianPainter
    @RejectedAustrianPainter 3 หลายเดือนก่อน +2

    where is "asman ko chu kar dekha taro ki kari sawari" background music

  • @quantumgravity639
    @quantumgravity639 หลายเดือนก่อน +7

    The most unfortunate thing I feel as a Mathematical Physicist , how the great magnificence of ancient Indian heritage is being lost because of floccinocinihiliphilifocation. Shri Ramanujan was and will remain a gem but ​​⁠, still people all around the world, especially from the west do not consider that there was existence of zero since 1000 BC and in Atharva Veda , the concept of Spacetime continuum was first given in Shiva Sutra : verse number 3, the existence of quantum superposition was mentioned in Srimat Gita , “ Nithya Sarvagata Sthanurlochahayang “, the probable mathematics of conformal mapping and near singularity states appearing in complex analysis was indicated in Linga Purana, existence of a cosmic reef was mentioned in Sri Bhagawat Purana, Yajur Veda and Vedanga gave the concept of compactification and group, field and Symmetries through presentation of Higher Lokas ( dimensions) , vibrations and compactification. Rigveda first gave the concept of consciousness and projection of universe long before we modern scientists started talking about Holographic Duality in AdS/CFT and much much more. The problem with path integrals are obviously connected with consciousness but we, people of west never could understand how moon appears because a mouse is looking at it - Einstein. This was Hindus and Vedas who clearly discussed it’s not a mouse alone , because the consciousness is not different and discriminated like human egos, consciousness is collective. There is no separate human consciousness and animal consciousness etc. There is only one universal consciousness, called Shiva and a projection of universe , called Shakthi/Vishnu. And the conjunction point where the projection of universe appears, is a condition of near singularity ( mentioned as the naval point of Vishnu)
    Let's consider the analogy where the complex entity of consciousness is symbolically represented by the observer or the act of observation itself within the framework of quantum mechanics. This analogy is often discussed in the context of interpretations such as the Copenhagen interpretation or the role of the observer in quantum theory.
    In this analogy:
    - \( |\Psi
    angle \) represents the quantum system being observed or measured.
    - The act of measurement or observation is represented by the Hermitian operator \( \hat{A} \).
    - The eigenstates \( | \psi_i
    angle \) represent different possible states or outcomes of the observation.
    - The coefficients \( c_i \) represent the influence or interaction of the observer (consciousness) with the system.
    Now, let's modify the wave function collapse equation to incorporate this analogy:
    \[ \hat{A}|\Psi
    angle = \sum_i c_i | \psi_i
    angle \]
    In this analogy:
    - \( \hat{A}|\Psi
    angle \) represents the interaction or influence of the observer (represented by \( \hat{A} \)) on the quantum system \( |\Psi
    angle \).
    - The sum over eigenstates \( \sum_i c_i | \psi_i
    angle \) represents the possible outcomes or states of the system after observation, influenced by the conscious act of observation.
    Now as per the Hindu scriptures of Yogasutra and Upanishads, if we Let’s explore a hypothetical scenario where the coefficients in the wave function collapse equation tend to zero as the index approaches infinity, leading to a near-zero singularity.
    Given the wave function collapse equation:
    Assuming that the coefficients decrease rapidly as increases and tend to zero, we can represent this behavior as .
    Now, let’s consider the behavior of the sum over eigenstates as approaches infinity. The behavior of this sum will depend on the specific properties of the coefficients and the eigenstates .
    1. Convergence or Degeneracy:
    If the coefficients decrease rapidly enough such that the sum converges to a finite value or converges to zero, we may not encounter a singularity in the traditional sense. Instead, we might observe a convergence behavior where the influence of higher-order eigenstates diminishes.
    2. Near-Zero Singularity:
    In the context of complex analysis, a near-zero singularity can arise when a function approaches zero as its argument approaches a certain value. In our analogy, the behavior of the sum could resemble a near-zero singularity if the coefficients tend to zero sufficiently fast.
    3. Degeneration of Real Numbers:
    The concept of degeneration of real numbers or real planes typically refers to cases where certain mathematical structures lose distinctiveness or separability. In the context of quantum mechanics and the wave function collapse equation, the behavior near a singularity may not necessarily lead to degeneration of real numbers unless the specific properties of the coefficients and eigenstates result in such behavior.
    4. Physical Interpretation:
    Physically, the rapid decrease of coefficients could indicate a situation where the quantum system exhibits highly entangled or complex behavior, leading to a distributed influence of different eigenstates in the measurement process.
    The behavior described by the final equation, particularly in the context of a near-zero singularity and rapidly decreasing coefficients , does represent non-locality but not in the traditional problematic sense of quantum mechanics.
    Non-locality in quantum mechanics refers to phenomena where measurements or interactions between distant particles are instantaneously correlated in a way that cannot be explained by classical physics. This is often associated with concepts like quantum entanglement and the violation of Bell inequalities.
    The problem is west still believe in subconscious that there is a God somewhere in a hypothetical place called heaven with long beard and he does not have any other task but to create troubles for those people who disobey him in this world. That’s why there are movements in the west , saying God is white,God is black, God is male, God is female and many more. This is a simple sample of heightened ego and narcissism. We should first ask the question that what is the difference between Truth and God ? Who I am, what this world is and who God is. Shri Ramanujan told his equation had no value until it expresses a thought of God. So , God is the truth and truth is the God. The problem is according to that hypothesis we are living in an imaginary world, created by our egos and minds. And that too was mentioned in Hindu scriptures that we are living in an imaginary world , created by our mind and we should seek for the reality for our higher self. “ Asato ma Sadgamaya | Tamaso Ma Jyotirgamaya | Mrityor Ma Amritamgamaya || Brihadaranyak Upanishad. Best of luck from Cambridge, MA. Om Namaha Shri HariHaraya

    • @kaizen1728
      @kaizen1728 วันที่ผ่านมา

      hey dude I am seriously mesmerized by your answers
      even I think like that but never deeply explored hindu scriptures
      can we please connect somewhere on social media? I really wanna learn more

  • @AnkurSingh-wy2pl
    @AnkurSingh-wy2pl 15 วันที่ผ่านมา +7

    Because he is indian😊

  • @user-wk7gy3xn5g
    @user-wk7gy3xn5g 3 หลายเดือนก่อน +13

    He got the formula because of his goddess nigiri amman

  • @holyshit922
    @holyshit922 3 หลายเดือนก่อน

    Leibniz formula can be accelerated by Euler summation and then sets correctly one bit per iteration

  • @shang_psycho7414
    @shang_psycho7414 6 วันที่ผ่านมา

    Indians are built different

  • @harrylius5142
    @harrylius5142 หลายเดือนก่อน +1

    Beauty is the highest truth

  • @hhhpestock951
    @hhhpestock951 6 วันที่ผ่านมา

    Ramanujan was on some other sh*t
    Sad he didn't stick around long though

  • @dalbirsingh9368
    @dalbirsingh9368 4 หลายเดือนก่อน +3

    it was caffine that was itself on caffine

  • @orangesite7625
    @orangesite7625 7 วันที่ผ่านมา +1

    Sorry but madhavas formula is better
    Not comparing geniuses but really madhava's formula and correction series really calculates pi with only a few terms and it doesn't contain any irrational terms in the expansion.

  • @tapgameplay954
    @tapgameplay954 4 หลายเดือนก่อน +8

    Pie = nsin(180/n) . Increasing the value of n will increase the accuracy of pie as well.

    • @user-kc2nu6ue9f
      @user-kc2nu6ue9f 2 หลายเดือนก่อน +1

      Bro how did you come with this formula I have also derived same formula 4days ago

    • @TheArchit1
      @TheArchit1 2 หลายเดือนก่อน

      sin(x) is itself a series expansion, and it converges much slower than ramanujan.

    • @xinpingdonohoe3978
      @xinpingdonohoe3978 หลายเดือนก่อน +1

      ​@@user-kc2nu6ue9f consider the substitution from radians to degrees, a multiple of 180/π. That's the basis.

    • @primenumberbuster404
      @primenumberbuster404 10 วันที่ผ่านมา

      It's very basic stuff,
      Consider 180 as π, take 1/n as x
      Then it's just sin(πx)/x, which one taking limits as x tends to 0, gives π.

  • @yoshikigrg8
    @yoshikigrg8 3 หลายเดือนก่อน

    #Boss

  • @shanksharma5117
    @shanksharma5117 หลายเดือนก่อน +1

    lebnitz formula also stealed from madhvacharya formula.

  • @lel3923
    @lel3923 3 วันที่ผ่านมา

    Lifted from an old video:
    th-cam.com/video/ZoaEPXEcLFI/w-d-xo.htmlsi=KadcOER14k8Ii0dk

  • @agrajyadav2951
    @agrajyadav2951 7 หลายเดือนก่อน +19

    Its not leibniz btw, its Madhav's series.

    • @nahbro1321
      @nahbro1321 5 หลายเดือนก่อน +4

      I am glad people know🙂

    • @asheep7797
      @asheep7797 2 หลายเดือนก่อน +1

      Madhava also invented correction terms for the series, boosting its accuracy.
      With the first correction term, it reaches 6 decimal places with 47 terms.
      With the second correction term, it reaches 6 decimal places with 9 terms.
      With the third correction term, it reaches 6 decimal places with 6 terms.

  • @Crazy_mathematics
    @Crazy_mathematics 3 หลายเดือนก่อน

    Modular function !!!!

  • @ISSACNewtonAdvanced
    @ISSACNewtonAdvanced หลายเดือนก่อน

    Lebiniz was a (GOD123)"321"

  • @baumulrich
    @baumulrich 3 หลายเดือนก่อน

    leipniz had a better formula, the namesakes formula is just because its pretty. no one uses it to calculate the digits

    • @gcg8187
      @gcg8187 14 วันที่ผ่านมา

      no

  • @user-fs3mx2nx4d
    @user-fs3mx2nx4d 4 วันที่ผ่านมา

    Cheese dots

  • @ryuk429
    @ryuk429 5 หลายเดือนก่อน

    √9801 = 99

    • @Deoxys_da2
      @Deoxys_da2 13 วันที่ผ่านมา

      So why 99?

  • @archuss
    @archuss ปีที่แล้ว +14

    with the maximum error**

    • @lonekoq4646
      @lonekoq4646 8 หลายเดือนก่อน

      Lol

    • @taptringo2390
      @taptringo2390 7 หลายเดือนก่อน +3

      Maximum error in measurement* this video is correct

    • @venkataseshasai5897
      @venkataseshasai5897 7 หลายเดือนก่อน +18

      Maximum error of 1 meter, that is high accuracy

    • @onduty7499
      @onduty7499 3 หลายเดือนก่อน

      With 0.04% error

  • @user-xr2zo9um1l
    @user-xr2zo9um1l 12 วันที่ผ่านมา

    اللهم صل وسلم على نبينا محمد

    • @lifeisforreal
      @lifeisforreal 9 วันที่ผ่านมา +6

      Jay shree krishna

  • @aryandebabratarout
    @aryandebabratarout 2 หลายเดือนก่อน

    He is a Demi God blessed by Maa Sarswati