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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 29 Jul 2018
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    The Weierstrass function was first published in 1872 by Karl Weierstrass. It has the interesting property of being continuous everywhere but differentiable nowhere. It first challenged the notion that every continuous function is differentiable except on a set of pointspic.twitter.com/Hknt71IWvf

    6:10 AM - 29 Jul 2018
    • 924 Retweets
    • 4,543 Likes
    • Javier Allan Guzmán Maddzzxx MohamadSama7 Joseph Torsney Alvarito ☭ Gerard Gallardo 🎗 ISA VALLDERTE Learn Control Roice
    46 replies 924 retweets 4,543 likes
      1. New conversation
      2. Elon Musk‏Verified account @elonmusk 29 Jul 2018
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        Replying to @fermatslibrary

        😱

        65 replies 58 retweets 1,527 likes
      3. Lexi Heft‏ @lexiheft 29 Jul 2018
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        Replying to @elonmusk @fermatslibrary

        Yep, that’s basically how the mathematics community reacted to the proof/construction. Kinda like the discovery of the irrational or imaginary numbers...or the introduction of a desirable electric car. With great change comes great resistance.

        2 replies 0 retweets 50 likes
      4. 2 more replies
      1. Amit Moryossef‏ @amitmoryossef 29 Jul 2018
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        Replying to @fermatslibrary

        @numberphile @jamesgrime We need a video on this..

        0 replies 0 retweets 32 likes
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      1. Robert Rasała‏ @rkrasala 29 Jul 2018
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        Replying to @fermatslibrary

        Looks like good old visualizer of Windows Media Player.

        0 replies 0 retweets 22 likes
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      1. New conversation
      2. DℝOℕ∈‏ @d_r_o_n_e 29 Jul 2018
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        Replying to @fermatslibrary

        It's a bumpy periodic function (example Fourier series)pic.twitter.com/pjum0IrpSb

        1 reply 0 retweets 29 likes
      3. Marc Dion‏ @MarcClintDion 29 Jul 2018
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        Replying to @d_r_o_n_e @fermatslibrary

        Just draw a tangent line wherever you need it. Computer vision could easily do that now. Take a snapshot and now the underlying fractal is irrelevant because the image won't contain that extra info.

        0 replies 0 retweets 0 likes
      4. End of conversation
      1. Bruno Santos 🇵🇹 🇬🇧‏ @brunoeducsant 29 Jul 2018
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        Replying to @fermatslibrary

        https://math.stackexchange.com/questions/122999/beginning-to-prove-that-a-version-of-weierstrass-function-is-nowhere-differen …

        0 replies 1 retweet 3 likes
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      1. New conversation
      2. Christopher Rodney  🌐  🏳️‍🌈‏ @ctrodney 29 Jul 2018
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        Replying to @fermatslibrary

        Well, now I'm going to have to waste a few hours of time finding out about this function. Thanks for that.. 😋

        1 reply 0 retweets 5 likes
      3. Amy Daniel‏ @amydanielmath 1 Aug 2018
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        Replying to @ctrodney @fermatslibrary

        Not exactly a waste

        0 replies 0 retweets 1 like
      4. End of conversation
      1. Hamed Nili‏ @hamed_nili 29 Jul 2018
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        Replying to @fermatslibrary

        This is so so counterintuitive!

        0 replies 0 retweets 4 likes
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