Making Sense of Ramanujan's Infinite Sum for General Audience.

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2024-05-12に共有
In this video we will try to Intuitively understand why the weird sum 1+2+3 and so on till infinity or the famous Ramanujan sum. Which seems very counter intuitive at first sight!
The Numberphile video-    • ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... =...  
The Mathologer video (second one I showed in the video)-    • Numberphile v. Math: the truth about ...  

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コメント (21)
  • @mathOgenius
    Have fun playing around with infinities! For a proof of this you can watch this video (If I did it, I will just repeat this proof)- https://youtu.be/YuIIjLr6vUA?si=oqNokKAJSxnhUE-Z In the Video I say beta function regularization but wanted to say zeta function regularization  sorry for that!
  • The logical proof of " 0.999..=1" is that there exists no number between 1 and 0.999...and hence these two are exactly same
  • @priyank5161
    I discovered ur channel today... Glad I did it Finally few more intuitive math guys in my list
  • @BabySisZ_VR
    I love your videos! thank you for making this one
  • This is what teaching is about....explaining why it happens....not how it happens.... 👏👏👏
  • Yes great description very clearly explained and at an easy to digest pace too. Peace and love from Australia
  • @leibnix5643
    Amazing! Really eye-opening to see! Before, I was wondering how this divergent series could converge in such a peculiar way, but now I understand the general idea! I would love to see your version of a simplified mathematical proof in a future video. Once again, great explanation!
  • The way you explain, the accect , the simple example is magnificent
  • @hasush
    Very good job on bridging the gap between the intuitive impossibility of adding apples and never getting -1/12 and how that intution is wrong since we truely have no intuition for infinity.
  • -1/12 is the true result under WRONG assumption. The proof is based on the assumption that THE series converges to a number, but it is NOT. End of story.
  • @jayaram2u
    This video really made sense. Great explanation 👍🏻👍🏻
  • @Mr_AWP
    Been following your channel for i think 2 years now when you had less than 50k subscribers. Thanks for the quality content you provide! Learned something new today.