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11 replies. Last post: 2020-05-15

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  • KPT ★ at 2020-05-13

    Hi fellows.
    Take a few moment and think how LG has contributed to your time at home, if you are in Quarantine.Littlegolem it is an awesome free service. 
    You can get a membership and support LG. Think about it. is not that much. 
    Be grateful 

  • Carroll ★ at 2020-05-13

    Thanks for the remainder, done!

    Just waiting for the blessing star to appear now.

  • ypercube ★ at 2020-05-14

    Nice, a Peruvian Remainder Theorem ;) 

  • MisterCat ★ at 2020-05-14

    This past December – January I moderated the Twixtbot vs. The World challenge (successfully, I might add). This was the most fun I’ve had in a while.

    To thank Richard for making this possible, I renewed my membership.

    (meow)


  • KPT ★ at 2020-05-14

    @ypercube.- I don’t get it 

  • ypercube ★ at 2020-05-14

    Just some funny remark kpt.

    There is a famous Chinese Remainder Theorem in Number Theory. 

    Carroll miswrote remainder instead of reminder (it might be like that in French). 

    You are from Peru (or some other South America country, sorry if I remember wrong). .

    We all have lots of free time in our hands. 

    In retrospect, it should be called French-Peruvian Remainder ;) 

  • ypercube ★ at 2020-05-14

    Oh, Chile, not Peru. My bad. 

  • Nagy Fathy ★ at 2020-05-14

    Thank you for the reminder KPT, renewal done.

  • Carroll ★ at 2020-05-15

    I got it and enjoyed your pun @yper ;)

    No in French, remainder is “reste” (like crumb) and reminder is “rappel” (like call back).

    There is also a famous KPT-theorem, in structural Ramsey theory, due to Kechris–Pestov–Todorčević.

  • Carroll ★ at 2020-05-15

    Ramsey theory is linked to games, for example by Hales–Jewett theorem, in a 8-dimensional hypercube (size 3), a game of tic-tac-toe does not end in a draw.

    I think it is a first player win but I am not sure, anyone for a game?

  • Carroll ★ at 2020-05-15

    It is a first player win by Strategy-stealing argument, see this PBS episode, https://youtu.be/FwJZa-helig

    What I don’t get now is why to speak of an 8-dimensional board if 3x3x3 is already tie-free ?

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