A Humble Correction To NMS Sir | Ramanujan's Summation | Vakrahara

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  • Опубліковано 15 гру 2024

КОМЕНТАРІ • 102

  • @Dew_Lord_Rattles
    @Dew_Lord_Rattles 11 днів тому +12

    Often times, people judge mathematical equations without understanding the complete concepts. First understand the background and then judge. A nice message to NMS sir as well as to all mathematics enthusiasts.

    • @abhinavrakeshverma28
      @abhinavrakeshverma28 7 днів тому

      Yaar blindly is aadmi ka believe mat Karo, khud ka brain ka istemaal karo aur thoda research karo.
      Juth bol raha hai banda

  • @ankushjha4103
    @ankushjha4103 27 днів тому +35

    Kitne ache se aur respectfully smjhaya aapne sir....🎉🎉

    • @vakrahara
      @vakrahara  27 днів тому +7

      Thank you so much for your appreciation ankush... ❤️❤️
      Disrespect se ego hurt hota hai jo main Krna ni chahta kyunki isse vidroh ki bhavna utpanna hoti hai. Jo vyakti smjhne ka prayas bhi krega wo smjhna nahi chahega yadi uska ego hurt ho jaye to. Isliye smjhane k liye ego hurt Krna uchit nahi hota. M kisi ka disrespect nahi Krna chahta kyunki mujhe pta hai ki aisi chize gyan k abhav se hoti hain. Maine khud v mehasus kiya hai ye mere sath v hua h. Isliye...

  • @deepaktiwari1381
    @deepaktiwari1381 Місяць тому +29

    Same thing came to my mind when I watched that video of NMS sir. I knew that this Ramanujan sum is used in string theory.

  • @TheBoardsMogger
    @TheBoardsMogger Місяць тому +124

    He has now apologized in his recent video🗿🗿

    • @vakrahara
      @vakrahara  Місяць тому +23

      Indeed... 🙂

    • @AbhishekPatel-wm1cc
      @AbhishekPatel-wm1cc 19 днів тому +2

      But nms sir is not agree with him.
      Nms sir has other reason. And I agree with mms sir but
      But not with him completely because his video not base on complete(available and limited) knowledge.

  • @FizikSphere
    @FizikSphere Місяць тому +64

    Same thing I have commented in his (NMS sir) Video...
    The persons who are working on just 11 and 12 level are marketing themselves as a scientist types in you tube university which is very dangerous for the students now a days....
    But thanks you to make a video on this....

    • @vakrahara
      @vakrahara  Місяць тому +10

      Thank you for your feedback. I completely agree that it's important to have accurate information available.

    • @blazingzest9380
      @blazingzest9380 Місяць тому +5

      Don't you think that this is how math should work? Questioning something is the most important thing. At last, math is just all about tackling the problems.

    • @ekramul007
      @ekramul007 Місяць тому +4

      @@blazingzest9380 let them be they are still suffering from colonial mindset , maths is not about who said what , he has all the right to question something whether he teaches 8th grade math or topology to college grads .

    • @vakrahara
      @vakrahara  Місяць тому +1

      Indeed... Absolutely correct...
      One has the right to question something and this is the tendency which enabled humans to reach this state.

    • @FlickedAwayForMaximum
      @FlickedAwayForMaximum 25 днів тому +1

      ​@@ekramul007WTF? He need to learn some manners and yeah one needs to atleast learn something at a level to challenge Ramanujan ji

  • @Sayanta420
    @Sayanta420 27 днів тому +12

    Thank you for making video on this topic❤❤.
    The 1st youtube video with a proper logic. I saw almost 10 videos about;
    1+2+3+... = -1/12;
    1-1+1-1... = 1/2
    1+2+2²+... = -1
    and so on...
    Almost everyone are talking about this things in real numbers system. There is a proper way to assign value in divergent series and for this there is a whole branch of mathematics like p-adic numbers, analytic continuation, complex analysis and many mores.

  • @abbaszaidi5138
    @abbaszaidi5138 16 днів тому +10

    your explanation is very humble, and correct, keep it up bro

    • @vakrahara
      @vakrahara  16 днів тому

      Thank you so much ❤️

  • @xyz1024
    @xyz1024 24 дні тому +25

    Don't worry Albert Einstein wrote 1000 theory out of them some were popular and other are still a matter of enquiry

  • @virat-k9g
    @virat-k9g Місяць тому +5

    Right explanation, best explanation no words for you , great work I will spread this video , who is try prove ramanujan ji as wrong . ramanujan ji is god.

    • @vakrahara
      @vakrahara  Місяць тому

      Thank you for watching 😊 ❤️

    • @virat-k9g
      @virat-k9g Місяць тому

      Your partice became successfull bro​ Mr.NMS sir , ne sorry bola for his mistake.@@vakrahara

    • @vakrahara
      @vakrahara  Місяць тому

      @@virat-k9g Are sach m... 😱😳
      Maine av dekha after reading your comment... 😃

  • @hritwikdebsharma3115
    @hritwikdebsharma3115 21 день тому +3

    Why is this channel so underrated ?

  • @smileworks8365
    @smileworks8365 7 днів тому +1

    You are correct and right sir bcoz the great shri ramanujan sir is always correct.......... 5:43

  • @shyamaldevdarshan
    @shyamaldevdarshan 29 днів тому +3

    I appreciate your effort sir🙏❣️

  • @rishimishra5335
    @rishimishra5335 3 дні тому

    Some people think that they can correct ramanuja get a life nd gud explanation

  • @calculusworld9548
    @calculusworld9548 29 днів тому +6

    For dgt series the sum is called Cesaro sum here this sum define for dgt series

  • @DJegal99
    @DJegal99 23 дні тому +2

    Great explanation 🙏

  • @RAHULSINGH-j4m
    @RAHULSINGH-j4m 24 дні тому +1

    You are right brother it is ramanuj summation

  • @RohitSingh-sd2hn
    @RohitSingh-sd2hn 19 днів тому

    once i was reading string theory, this divergent equation killed me. i had no idea how this can be possible.
    nice example.

  • @marcos1292
    @marcos1292 22 дні тому +2

    your content quality is great , even though only with 500 subs

    • @vakrahara
      @vakrahara  22 дні тому

      Thank you so much for this feedback. It means a lot and is motivating for me. ❤️❤️❤️

  • @Aaravsrivastava117
    @Aaravsrivastava117 14 днів тому

    Meri bhi iccha hai ki mai itna knowledge Banu ki kisi ko beyond 11th ke liye argue kr sku but abhi toh competition me focus h fir knowledge lunga tarah tarah ki 🤟

    • @vakrahara
      @vakrahara  14 днів тому

      Definately... ❤️
      अरिषडवर्गान् जयतु ||
      May you conquer your 6 inner enemies to help you achieve what you want...

  • @adityaagarwal636
    @adityaagarwal636 6 місяців тому +4

    Thanks sir🙏🙏

  • @BhavaySharma-co2rg
    @BhavaySharma-co2rg 25 днів тому +1

    Thank you brother ❤

  • @elearningwithsaurabhsir3753
    @elearningwithsaurabhsir3753 7 днів тому

    इनका अगला वीडियो भी देखिए। उसमें उन्होंने अपनी गलती स्वीकार की और फिर से बताया कि वो सही थे

  • @syed3344
    @syed3344 Місяць тому +4

    What????how it is used in casmir effect

    • @vakrahara
      @vakrahara  Місяць тому +5

      Maine casmir effect se related ek snapshot video m paste Kiya hai...
      Usme apko niche ek series dikhegi jo ki sigma k terms m likhi hui hai.
      Us series ko expand krne pr wahi same series ati hai. Wha Ramanujan k is summation ko dalne m casmir effect ki ek specific value nikal kr ati hai jo experimentally v utna hi ati hai.

  • @shubhamide
    @shubhamide Місяць тому +2

    ye proof kaise ho gaya abhi to tumne bola ki reimann zeta function minus 1 pe valid nahi hota matlab usse jo result ayega wo galat ayega to phir ramanujan ka summation bhi galat hua na?

    • @vakrahara
      @vakrahara  Місяць тому +1

      Ramanujan ko patterns bhut pasand the. Unhe maths km aur patterns jyada dikhta tha. Ramanujan summation us infinite number ko jise hm imagine ni kar sakte, use finite krke dikhati hai. Iska arth ye ni hai ki -1/12 infinity k barabar hai. Ye equation us infinity ka bas ek reflection ke jaisa hai. Btana thoda mushkil hai... Lekin NMS sir ka new video dekho jisme wo apologize kiye hain. Usme thoda andaza lg jayega. However is bar v unhone thoda galat hi smjha but ek basic idea mil jayega.
      Aur bat rahi reiman zeta function ki... To yes -1 pe valid ni hota but analytical continuation se ye bat pta chalti hai.
      Lekin... Lekin... Ye kehna galat hoga ki Reiman zeta function se Ramanujan summation proof ho jata h. Actually, wo mera slip of tongue hai... 😂 Wha mujhe proof k jagah idea kehna chahiye tha. It was my mistake ki maine proof kha.
      Reiman zeta function complex numbers pr based hai and complex numbers reality ni hai. They are just an illusion. To personally mai to zeta function ko ni Manta jo complex plane k sath dikhaya jata h
      Real plane m zeta function plot kiya jaye to fir thik h...
      Reiman zeta function proof ni hai... It's just an idea... Lekin iska mtlb ye ni ki Ramanujan ki summation galat hai
      Ramanujan ki summation ye ni kehti ki wo barabar hai, wo kehti hai ki wo ek reflection hai

    • @shubhamide
      @shubhamide Місяць тому

      @@vakrahara but equal to sign to ye hi cheez denote karta hai ki brarabar hai ye rflection ka kya matlab hai yahan pe?

    • @vakrahara
      @vakrahara  Місяць тому +1

      Wo normally log equals likh dete hain jo ki galat hai aur yahi same galati NMS sir ne v ki thi jiske wajah se unhone v galat smjha. Ye equals ni hai... Mere video m hm btaye h ki equals k jagah upar ek sign rehta h "R"
      Ye sign btata h ki ye equals ni h kuch aur h
      Baki reflection wala chiz, I will explain in my next video. 👍🏻

    • @shubhamide
      @shubhamide Місяць тому +1

      @vakrahara ok

  • @adityakhambeteIIT
    @adityakhambeteIIT 23 дні тому +2

    well ramanujan was not entirely incorrect, buy not entirely correct either, the summation doesnt exactly converge in itself, the proof he presented is definitely incorrect, by using similar tricks we can proof that sum to be anything.
    Now riemann's zeta function is a very real thing I absolutely I agree with your that point, but riemann zeta function, how it is defined on real numbers doesnt make sense for -1, there is a concept called analytical continuation of riemann zeta function, as there is a property of complex continuous and smooth functions, if they agree on some compact set they agree everywhere, using this we extend the domain og riemann zeta function to all complex numbers (except 1), and hence zeta(-1) comes out to be -1/12
    Now what I believe is ramanujan definitely would had found this fact using the riemann zeta function, and probably his works wouldnt had been correctly interpretted, as the proof NMS sir claimed to be incorrect in that video is indeed incorrect, but with that zeta(-1) is undoubtedly -1/12
    well again, this is just my view, i am just a 2nd year math major at iitb, and nowhere close to ramanujan

  • @DeepakDubey-go6fm
    @DeepakDubey-go6fm 5 днів тому

    ❤❤❤

  • @syed3344
    @syed3344 Місяць тому +1

    U r rlly respectful nice

  • @adityaupadhyay6238
    @adityaupadhyay6238 7 днів тому

    He he.. this guy totally is in full mood of getting hype... Abhi padho bhai... kuchh bhi mtlb😂...Abhi Ramanujan Ji Ko pahle padho

  • @its_aman4667
    @its_aman4667 10 днів тому

    NM sir me doosre teachers ki galti nikalne k chakkr me arrogance a gya h....Ramanujan ko hi galat bta die.. waah

  • @krishnamania1
    @krishnamania1 3 місяці тому +14

    This explanation is still suspicious to me , there is nothing like some other type of summation, its just like analytical continuation,
    NMS sir's point was , the proof mostly people use to prove it is absolutely incorrect....
    Before using "=" sign please first check whether its a number or not ...
    And after some basic divergent, convergence tests , we can see that 1, 2,3,4,5,6,7.... is a divergent series ...
    So we cannot use "=" this symbol in eqn .....
    But then how we got -1/12 , its like defining something with something else to elongate the domain ....
    For example Factorials was only for wholes but then using some other definition we got our gamma function ......
    Similarly we first define zeta in some other way and then substitute x=-1 , and got -1/12
    This video's explanation was suspicious to me because.... you just said bunch of terms and didn't explain them .....
    Saying heavy terms and then saying that " we cannot understand the genius's notebook " makes no sense ......
    Thanks for reading....
    If there is some mistake in my interpretation pls reply back in this comment

    • @vakrahara
      @vakrahara  3 місяці тому +12

      Thank you for watching this video... The very purpose of this video is to rectify the words of NMS sir not to prove him wrong about his intelligence. He said, "galatiyan ho jati h sabse, ramanujan se v galati hui". That was the point I was discussing. Ramanujan was absolutely correct in his own sense. You analysed very well that people use normal "=" sign and then fascinate others about that the sum of infinite natural numbers is -1/12. We all know it's incorrect. It's an entirely different thing that NMS sir has probably missed it or what, I don't know.
      I didn't explain them in depth because of the video length however I put three links and mentioned them in the video. If you are curious about it. Just have a look over them. You will come to know.
      If you want a dedicated video on this... Let me know
      Actually the whole controversy was because of the Numberphile's video about ramanujan summation. (May be, because I found his video circulated all over the internet. Sone other persons might have contributed in this misinformation due to misinterpretation)
      Once again, thank you for your valuable feedback...

    • @omprakashpadhi-rs2fd
      @omprakashpadhi-rs2fd 3 місяці тому +1

      Ecelent

    • @Dhruv-wu5kn
      @Dhruv-wu5kn 28 днів тому +1

      He didn't explain because there are already a lot of good explanations to this and he had told the videos to watch to completely understand it

  • @LAKHSHYAIIT
    @LAKHSHYAIIT 23 дні тому +1

    THE MEN WHO KNOW INFINITY😎 SIR ,SRI NIWAS RAMANUJAN

  • @confused08
    @confused08 25 днів тому

    Excellent mai aise hi sochta hu ki isi tarah se hamara desh age badhe padhai ki chijo par debate ho log aise hi age badhe kitna acha lagta sab dekh kr naki wo dharm ki debate ladai wagera❤❤❤

  • @SanuAdhikari-ib8wn
    @SanuAdhikari-ib8wn 2 місяці тому

    I have no words to you...❤❤🙏🏻🙏🏻❤
    Sir please up up ki digree ki bare mai kuch bataye ,,,,wo mujhe bohat inspire karegi mujhe 🙏🏻🙏🏻🙏🏻

    • @SanuAdhikari-ib8wn
      @SanuAdhikari-ib8wn 2 місяці тому

      I am dropper student of jee

    • @vakrahara
      @vakrahara  2 місяці тому

      Thank you for watching ❤️
      Do you mean Top-Up degree?

    • @SanuAdhikari-ib8wn
      @SanuAdhikari-ib8wn 2 місяці тому

      Kuch vi digree

    • @vakrahara
      @vakrahara  2 місяці тому +1

      @@SanuAdhikari-ib8wn Ok... I will prepare a dedicated video for the options and paths that a dropout can pursue. I will try to include as many degrees as I can and will put forward all the opportunities available to you. Subscribe and stay tuned 🙂‍↔️😉

  • @sohammajumder7837
    @sohammajumder7837 2 місяці тому

    He is next ramanujan❤

  • @ninetailedamv7983
    @ninetailedamv7983 Місяць тому

    thank you sir ❤

  • @RadhaFrequency
    @RadhaFrequency 17 днів тому

    how do you study ?
    it helps me ...

    • @vakrahara
      @vakrahara  17 днів тому +1

      It depends actually 🤔
      I have hunger for many things and I use a lot of resources, youtube is one of them but I mostly rely on original works of someone.
      And it really depends on many factors like what is your current level of understanding, your language skills, your interest and background.
      What you want to study brother... 🙂
      I am curious to know...

  • @trirankagogoi247
    @trirankagogoi247 2 місяці тому +1

    Great sir......❤

  • @srikanthtupurani6316
    @srikanthtupurani6316 27 днів тому +3

    It is connected to analytic continuation of zeta function. He is not aware of analytic continuation. It is okay . He spoke all that because of his ignorance. But he should be responsible should understand things properly and then talk about great people like ramanujan. Its okay please forgive him. He was not having any bad intention to insult ramanujan. We can forgive him. But he should read the literature properly and try to understand things properly and then talk about great people like ramanujan.

    • @vakrahara
      @vakrahara  27 днів тому

      Indeed...😊 And the purpose of the video is the same as what you said. He realised his mistake now and not just realised, he came up with an explanation too, which is really awesome... ❤️

  • @harshsolanki146
    @harshsolanki146 12 днів тому

    In whole internet many teachers teaching sum of natural no. upto infinity= -1/12 which is wrong

  • @priyanshujakhar3350
    @priyanshujakhar3350 25 днів тому

    Bro what are you studying or doing i am just curious to know more about you

    • @vakrahara
      @vakrahara  25 днів тому +3

      A B-Tech dropout
      Currently learning लौकिक संस्कृतं
      Nearly finished Feynman's lectures
      Currently working on a research to correct "Foundational Mathematics"
      Building a simulation game in unity to have a visual representation of my mathematical intuition (currently in beta phase)
      Running a small academy at my home teaching students with student centric approach entirely with donation.

  • @RITURAJKUMAR-v5t
    @RITURAJKUMAR-v5t 14 днів тому

    Thanx sir

    • @vakrahara
      @vakrahara  14 днів тому

      Most welcome 🙂🙂❤️❤️

  • @Shivam-yi5og
    @Shivam-yi5og 2 місяці тому +1

    @ 1:54

  • @mrbutish
    @mrbutish 25 днів тому +2

    Infinite sum = -1/12 is not wrong

  • @abhinavrakeshverma28
    @abhinavrakeshverma28 7 днів тому

    Kisi string theory me iska use nahi Hota, band Karo backwas, ye puri Tarah galat hai aur ramanujan se ye galti hui hai.
    U know koi aapko cross check nahi karega , isliye kuxh bhi bakwas kar do.
    Kisi string theory me iska use nahi hota
    Juth faiana band karo, logon ko bewakoof banana band karo

    • @vakrahara
      @vakrahara  2 дні тому

      Aap cross check kr lijiye, mujhe aapatti ni hai isse...
      Yadi m ye keh sakta hu to galati hone pr kshama v mang sakta hu
      🙂

  • @Batuk3
    @Batuk3 20 днів тому +3

    App bakwas bhot acha krte ho

    • @vakrahara
      @vakrahara  20 днів тому +5

      Hmm... 🤔
      Ho sakta hai...
      Kyunki sabki vichardhara ek ni hoti to aisa jaruri nahi ki hm dono ki sehmati bane. Pr apne yeh video dekha uske liye dhanyawaad ❤️

    • @AgyatTatva
      @AgyatTatva 19 днів тому

      bhai prove him wrong mathematically , you don't even know half M of mathematics .

    • @AbhishekPatel-wm1cc
      @AbhishekPatel-wm1cc 19 днів тому

      Baat bakwaas nhi hai, bas inka alpgyaan hai, Bharat me log apne ande se bahar nahi nikalna chahate.
      Ramanujan sir ne bas rule toda Jo ki Newton ne bhi kiya thA MATHS ME HI, Jo uske kaam aaya. Every one should read ramanujan sir's whole real paper and it's criticism.
      Tab hi koi jaan sakte hain ki ramanujan sir kyon galat the aur tab bhi unki iss value ka use kuch not proven physics me kyon kiya jaata hai, Ek reason bhai ne hi bataya hai isliye inka video bakwaas nhi hai. Bas alpgyaan se banaya gaya hai.
      ADHURAGYAN ZAANLEWA HOTA HAI.😅

    • @AbhishekPatel-wm1cc
      @AbhishekPatel-wm1cc 19 днів тому

      ​@@AgyatTatvaunderstand maths REALLY 😅

    • @vakrahara
      @vakrahara  19 днів тому +2

      I totally understand your feelings and emotions. I appreciate it, at least you found my video and commented on it. I am not a maths genius and still learning. Maybe, you are correct and I am not denying it.
      I just said, it's not a normal summation. The whole mathematical community has appreciated Ramanujan for this. NMS sir viewed this from a different approach for which he is not wrong actually because he didn't know about it. However, I didn't mean to hurt the feelings of anyone. If I did, I am sorry... I put things on the basis of knowledge I gained and I completely agree with you that I don't have complete knowledge of mathematics. In fact no one has...
      I put my perspective here... 🙂
      Thank you for watching this video and thank you for commenting... I learnt a lot from you

  • @AmlanSarkar-wr2pr
    @AmlanSarkar-wr2pr 3 місяці тому +16

    Excellent explanation Sir ji.NMS sir is a genius and excellent physics teacher butI think NMS should rectify it that it is not be true for convergent but true for divergent and Ramanujan was right from his perspective and that's why we call him the man who knew Infinity btw you are too a genius.🫡🫡

    • @vakrahara
      @vakrahara  3 місяці тому +2

      Thank you for the comment

    • @AmlanSarkar-wr2pr
      @AmlanSarkar-wr2pr 3 місяці тому +2

      @@vakrahara Sir you are bigger than me there is nothing to say thank you rather than that I should say thank you to you.

    • @prashantthakur113
      @prashantthakur113 2 місяці тому +1

      Bhai.. dont comment like this.. He is my physics teacher and he never behaved like he is god..And a human can never behave or become like god, Please have a scietific temprament, DoNot just spill anything from ur mouth, thats ur lack of observation or inferiority complex that u thought in this way.. Hope u understand

    • @AmlanSarkar-wr2pr
      @AmlanSarkar-wr2pr 2 місяці тому

      @@prashantthakur113 Accha bhai mene bohot bari baat kehe di hai unko God bolke I can understand your feelings since you are his student aur uske liye mein apse shama chata hoon mujhe please Shama kaar digiye.

    • @AmlanSarkar-wr2pr
      @AmlanSarkar-wr2pr 2 місяці тому

      @@prashantthakur113 actually kya hua ki sir ne bola ki Ramanujan ki jo infinite series hai wo convergent ka liye true nahi hai I agree but it is true for divergent and ye cheez string theory jaisa advance topics mein use hota hai aur Ramanujan is someone who is God for me aur jis karan mujhe gussa agaya ki yeh kya baat Hui.I too know how great NMS sir is he is an extraordinary teacher but Sir ko rectify karna chahiye ki bhale yei ye convergent ke liye true nahi hai but divergent ka liye true hai.
      Once again shama kar dena.🙏🙏