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New Recipe for Pi - Numberphile

493K views · Jul 19, 2024 · Science & Technology

Comments · 983

  • @numberphile · 2 years ago · pinned

    Extra Physics Bit: <a href="https://www.youtube.com/watch?v=AZxoENTRKxg">https://youtu.be/AZxoENTRKxg</a><br>Interview with Sinha and Saha (the authors): <a href="https://www.youtube.com/watch?v=2lvTjEZ-bbw">https://youtu.be/2lvTjEZ-bbw</a><br>Sixty Symbols (our physics channel): <a href="https://www.youtube.com/user/sixtysymbols">https://www.youtube.com/user/sixtysymbols</a><br>Pi Playlist: <a href="https://www.youtube.com/playlist?list=PL4870492ACBDC2E7C">https://www.youtube.com/playlist?list=PL4870492ACBDC2E7C</a>

    81

  • @Peregringlk · 2 years ago (edited)

    <a href="https://www.youtube.com/watch?v=nXexsSWrc1Q&amp;t=452">7:32</a><br>- Tony: the 105th trillionth digit of PI is 6.<br>- Brady: good to know

    1K

  • @acelm8437 · 2 years ago

    &quot;So the story goes back to another Indian…&quot;<br>Me: &quot;Yeah, Ramanujan!&quot;<br>&quot;around the late 14th century called Madhava.&quot;<br>Me: &quot;Oh.&quot;

    32

  • @JazzShak · 2 years ago

    Lifelong Pi mathematician here. It does have to do with circles. Chudnovsky specifically has to do with circles, in the complex plane, using hyperbolic geometry, using 163i as its basis. Ramunujan&apos;s is the same, but for 1i. You can make single series reps of pi with ramanujan sato series with all the Heegner numbers 1,2,3,7,11,19,43,67,163. You can make infinite ramunjan sato series if you allow multiple sums. There is ALWAYS a circle, lol.

    915

  • @Sandeepan · 2 years ago (edited)

    I went to school with brother Arnab, was two batch junior.<br><br>He was already a local legend in that area when it comes to maths back in 2009

    352

  • @daviddeweger4106 · 2 years ago

    I’m unreasonably happy that the length of this video is <a href="https://www.youtube.com/watch?v=nXexsSWrc1Q&amp;t=868">14:28</a>

    56

  • @fonkbadonk5370 · 2 years ago

    I never want this channel to end. Brady and I are roughly similarly aged, and if I&apos;m refreshing my YT subs page at 80 and there aren&apos;t any new videos, I&apos;m just gonna lay down for good.

    274

  • @jesusthroughmary · 2 years ago

    Last time I was this early the Parker Square was just an erroneous attempt at a magic square

    335

  • @Rocksite1 · 2 years ago

    I suppose, from a computer scientist&apos;s POV, that the real question about any of them, is not how many iterations it takes to get n digits of pi, but how &quot;expensive&quot; the mathematical operations are. &nbsp;E.g. factorials become more expensive than exponents. &nbsp;Thus, one needs to figure out how many additions, subtractions, multiplications, relatively expensive divisions and exponents are required for at least n digits.

    17

  • @anon-007-00 · 2 years ago

    Every time I think of a question the camera man asks it, it&apos;s so helpful

    34

  • @billferner6741 · 2 years ago

    In earlier days of PC programming (80s 90s), the BASIC did not have pi included. To get it with the program prcision, we used the atan(1)*4

    74

  • @cyrilio · 2 years ago

    If pie is the meal then the series is the recipe. <br><br>Lovely way of describing a math formula.

    14

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