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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 19 Jan 2018
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    Here's a curious way to generate the Fibonacci numbers before they blur into other digits. Can you explain why?pic.twitter.com/pGWq2AiUKn

    6:25 AM - 19 Jan 2018
    • 262 Retweets
    • 894 Likes
    • Nu Comics Dushyant  Srivastava jordan Anurag Elux Rikkie gieler ngjnppjnl Djordje Puzic dealwithit
    12 replies 262 retweets 894 likes
      1. New conversation
      2. Anirudh‏ @anirudhbhalekar 19 Jan 2018
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        Replying to @fermatslibrary

        You should make a YouTube channel with aolitions to all these puzzles. I would watch it

        1 reply 1 retweet 28 likes
      3. Luis Batalha  🇵🇹 🇺🇸‏ @luismbat 19 Jan 2018
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        Replying to @anirudhbhalekar @fermatslibrary

        We already have one =)https://www.youtube.com/channel/UCSD2RxaYn2Nxkm41gp-eKfA …

        0 replies 0 retweets 1 like
      4. End of conversation
      1. New conversation
      2. DℝOℕ∈‏ @d_r_o_n_e 19 Jan 2018
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        Replying to @fermatslibrary

        Generating function of Fibonacci sequence is power series. In this case denominator is of 100ⁿ-10ⁿ-1 form which creates these interesting patterns:pic.twitter.com/Eu7ZNHs0Ew

        1 reply 1 retweet 28 likes
      3. Nguyễn Hiền‏ @NguynHi05917006 22 Jan 2018
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        Replying to @d_r_o_n_e @fermatslibrary

        Greatly

        0 replies 0 retweets 0 likes
      4. End of conversation
      1. Bernard Krarup‏ @Erikofkent 19 Jan 2018
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        Replying to @fermatslibrary

        I am always interested by your tweets even though I don’t have a clue as to what you are talking about.

        0 replies 0 retweets 15 likes
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      1. ni Humberto ni Alberto‏ @tenebrosasastra 19 Jan 2018
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        Replying to @fermatslibrary

        because each natural number can be interpreted only as the sum of one or more different fibonacci numbers in such a way that the sum does not include two consecutive fibonacci numbers

        0 replies 0 retweets 7 likes
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      1. Daniele Pinna‏ @PestoPoppa 19 Jan 2018
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        Replying to @fermatslibrary

        Because I can plug any base of my choosing in the generating function of the fibonacci sequence: f(z)=1/(1-z(1+z)). In this case, plugging in z=1/10^k does the trick.

        0 replies 0 retweets 9 likes
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      1. Combinotourist‏ @MarchtoCharm 19 Jan 2018
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        Replying to @fermatslibrary

        Yes, but math with sub/super-scripts in a tweet get messy. Set up infinite sum, use recurrence relation of F_n, and solve.

        0 replies 0 retweets 1 like
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      1. vineet singhal‏ @vineets77 19 Jan 2018
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        Replying to @fermatslibrary

        wow!!!!!

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      1. New conversation
      2. p-brane‏ @BraneRunner 19 Jan 2018
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        Replying to @fermatslibrary

        Sum the series of terms F_k/10^k using the recursive relation for the Fibonacci numbers. You can do the same for F_k/(10^d)^k for any d

        1 reply 0 retweets 11 likes
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