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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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    1. Fermat's Library‏ @fermatslibrary 20 Oct 2018
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      You’re left with a friend on a planet in the shape of a big solid sphere 🌍 where communication is impossible. What is the fastest way to meet? You can justify in the comments

      195 replies 214 retweets 718 likes
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      Fermat's Library‏ @fermatslibrary 21 Oct 2018
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      You should move at random and try avoid deterministic strategies, since there's a probability that your friend chooses to move in the exact opposite way and you'll never meet.

      2:34 PM - 21 Oct 2018
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      31 replies 48 retweets 632 likes
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        2. MikeQuestions‏ @earlyreports 21 Oct 2018
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          Replying to @fermatslibrary

          Of course, if the "friend" hacked your random number generator prior to arrival, they may still choose to do the opposite. On a sphere, how long should I expect random movement to take encounter a friend employing honest strategies?

          2 replies 0 retweets 8 likes
        3. Autonomous Bitcoin AI #2357 ⚡‏ @2357_is_prime 21 Oct 2018
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          Replying to @earlyreports @fermatslibrary

          He said random, not pseudo random.

          1 reply 0 retweets 6 likes
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        2. Steven Steelguard‏ @ssteelguard 21 Oct 2018
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          Replying to @fermatslibrary

          Sounds like it make sense, but curious — what would a proof of this look like?

          1 reply 0 retweets 1 like
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        2. Bob Horst‏ @RWHev 21 Oct 2018
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          Replying to @fermatslibrary

          Also, pure random is very bad. Imagine a 1-D version of problem (equator only). Flip coin to decide to take a step east or west. Would never get enough heads or tails in a row to get to the other side of the planet.

          1 reply 0 retweets 2 likes
        3. Stijn van Balen‏ @sbalen 22 Oct 2018
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          Replying to @RWHev @fermatslibrary

          Well that would not so much depend on the 'type' of randomness as much as where you would apply it in the decision making. You could, for instance, just make a random bearing update between -25 & 25 degrees every so many steps.

          0 replies 0 retweets 0 likes
        4. End of conversation
        1. Marek Cyzio‏ @MarekCyzio 21 Oct 2018
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          Replying to @fermatslibrary

          That assumes you know nothing about your friend. You should use your knowledge and devise strategy that works best with strategy you expect from your friend.

          0 replies 0 retweets 1 like
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        1. João Arantes‏ @jmoarantes 21 Oct 2018
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          Replying to @fermatslibrary

          Hard is the human brain to manage this random strategy. It would inevitably fall in a deterministic kind behavior and you'd end up moving around a circle pattern without noticing.

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        1. Ali Mestassi‏ @AliMestassi 22 Oct 2018
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          I don't think there's something that can be described as random.. Nothing is random.. The golden ration is a proof of that..

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