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fermatslibrary's profile
Fermat's Library
Fermat's Library
Fermat's Library
@fermatslibrary

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Fermat's Library

@fermatslibrary

A platform for illuminating academic papers. We publish an annotated paper every week. Our chrome extension for arXiv: https://fermatslibrary.com/librarian 

fermatslibrary.com
Joined September 2015

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    Fermat's Library‏ @fermatslibrary 17 Jun 2018
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    Here's a quick method to calculate the square root of a number (√y) by handpic.twitter.com/hEHwqwENux

    5:46 AM - 17 Jun 2018
    • 2,364 Retweets
    • 9,731 Likes
    • Thomas Andrew Sai Krishna Heiko Ivancho 27 afifyor 🚀Sollevarsi SOCIAL Genervter_Berufspendler Paul-Hicham Farhra
    88 replies 2,364 retweets 9,731 likes
      1. New conversation
      2. Keith George Ciantar‏ @KGCiantar 17 Jun 2018
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        Replying to @fermatslibrary

        This is also known as the Newton-Raphson Method. In this case, f(x) = x^2 - 17, f'(x) = 2x and the x0 = 4. https://en.wikipedia.org/wiki/Newton%27s_method …

        2 replies 5 retweets 73 likes
      3. Weston milhon‏ @WestonMilhon 17 Jun 2018
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        Replying to @KGCiantar @fermatslibrary

        It scary to think that if given a graph,paper and pen I could solve this

        1 reply 0 retweets 7 likes
      4. 3 more replies
      1. DℝOℕ∈‏ @d_r_o_n_e 17 Jun 2018
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        Replying to @fermatslibrary

        Edmond Halley gave formula involving 2nd derivative. Halley's method is more complicated but it converges faster than Newton's method.pic.twitter.com/Da18t6kVKE

        0 replies 4 retweets 23 likes
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      1. New conversation
      2. Charudatta Manwatkar‏ @Charudatta_M 17 Jun 2018
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        Replying to @fermatslibrary

        An even quicker method ends at step 1. 😛

        1 reply 2 retweets 37 likes
      3. S.Kumar‏ @Banzaaraaa 18 Jun 2018
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        Replying to @Charudatta_M @fermatslibrary

        S.Kumar Retweeted S.Kumar

        It was found in "Bakhshali manuscript" in India from 3rd century.https://twitter.com/Baroodibhaiyya/status/1002146316753846272 …

        S.Kumar added,

        S.Kumar @Banzaaraaa
        One can find square root of any number within seconds frm this formula given in Bakhshali mauscript. अकृते श्लिष्टकृत्युनात् शेषच्छेदो द्विसंगुणः। तद्वर्गदल संश्लिष्टहृति शुद्धिकृति क्षयः॥ x^1/2 = (X^1/2) plus/minus {(x-X)/X^1/2} where X is nearby perfect square @ainvvy
        Show this thread
        0 replies 0 retweets 1 like
      4. End of conversation
      1. Max Mammel‏ @mmammel 17 Jun 2018
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        Replying to @fermatslibrary

        Newton-Raphson FTW

        0 replies 0 retweets 46 likes
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      1. CircusMario‏ @MarioBecroft 17 Jun 2018
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        Replying to @fermatslibrary

        Looks like damping the function f(x) = sqrt(x) so it converges, then iterating to find the fixed point. A fundamental technique taught early in #sicp 🙂 (fixed-point (average-damp (...)) See: http://www.billthelizard.com/2010/08/sicp-145-computing-nth-roots.html …

        0 replies 1 retweet 9 likes
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      1. 418: No Coffee 4 U  🤖‏ @ramriot 17 Jun 2018
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        Replying to @fermatslibrary

        This is also half of the Newton iteration method which if you collect enough public keys from devices can quickly crack the weak keys where any two share the same prime factor. Hint, never trust a cheap embedded device to generate secure RSA key-pairs.

        0 replies 1 retweet 8 likes
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      1. Not for Nothing. life is very short Nanba!‏ @OhMadhu 17 Jun 2018
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        Replying to @fermatslibrary

        i say another simple method. . take approx squre root of 17 i. e 4 . . Divide 17/4 = 4.25 . then take avg of 4.25 and 4, u will get 4.125 simple?

        0 replies 2 retweets 4 likes
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      1. Anas‏ @anasbanananas 17 Jun 2018
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        Replying to @fermatslibrary

        You lost me at 1

        0 replies 0 retweets 12 likes
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