• Separated sets in unions of frames

    Updated: 2013-06-27 07:46:18
    In celebration of the recent resolution of the Kadison-Singer problem by Marcus, Spielman, and Srivastava, here is a question on isotropic point sets on which Kadison-Singer does not (seem to) shed any light. A positive resolution would likely have strong implications for the Sparsest Cut problem and SDP hierarchies. The question arose in discussions with […]

  • Twins move within reach

    Updated: 2013-06-25 10:56:49
    Skip to Navigation about Plus support Plus Plus sponsors subscribe to Plus terms of use Search this site : Twins move within reach by Marianne Freiberger Submitted by mf344 on June 25, 2013 in number theory twin prime conjecture twin primes Agreeing to pay 50,000 for something worth 2 wouldn't win you any haggling competitions . In mathematics , however , a similar result can bring you international acclaim . Mathematics can be a lot like haggling : if you can't get the answer you want , you try to get as close as possible . In the case of the famous twin prime conjecture the answer you want is 2. Recent results claim to have managed just over 50,000, but they are causing quite a stir . That's because the gap between 2 and 50,000 is a whole lot smaller than the gap between 50,000 and

  • A very old problem turns 20

    Updated: 2013-06-24 09:34:09
    Skip to Navigation about Plus support Plus Plus sponsors subscribe to Plus terms of use Search this site : A very old problem turns 20 by Marianne Freiberger Submitted by mf344 on June 24, 2013 in Fermat's Last Theorem number theory I think I'll stop here . This is how , on 23rd of June 1993, Andrew Wiles ended his series of lectures at the Isaac Newton Institute in Cambridge The applause , so witnesses report , was thunderous : Wiles had just delivered a proof of a result that had haunted mathematicians for over 350 years : Fermat's last theorem Andrew . Wiles Wiles’ announcement now celebrates its twentieth birthday , but the result itself is linked to maths that is over 2000 years old . Most people have heard of Pythagoras’ theorem : if and are the sides of a right-angled triangle ,

  • My New Favorite Hat Puzzle

    Updated: 2013-06-20 14:55:01
    My new favorite hat puzzle was invented by Konstantin Knop and Alexander Shapovalov. It appeared (in a different wording) in March 2013 at the Tournament of the Towns: A sultan decides to give 100 of his sages a test. The sages will stand in line, one behind the other, so that the [...]

  • 8th grade math test

    Updated: 2013-06-20 14:34:56
    A comprehensive 8th grade math test that is readily avalaible to print for free. The test will measure every important skill taught in 8th grade

  • Is it divisible by 7? Death by regular expression

    Updated: 2013-06-07 16:33:21
    Here is a fun question at Quora: How does one determine whether a number is evenly divisible by 7? There are some remarkably geeky answers. Those of you who write code might enjoy the second answer, by Anders Kaseorg. Enjoy!

  • Samples from My AMSA Homework

    Updated: 2013-06-06 18:31:39
    I particularly like these two problems that I gave my AMSA students for homework: Athos, Porthos, and Aramis were rewarded with six coins: three gold and three silver. Each got two coins. Athos doesn’t know what kind of coins the others got, but he knows his own coins. Ask him one question to [...]

  • Carnival of Mathematics #99

    Updated: 2013-06-02 23:55:40
    Welcome to Carnival of Mathematics #99. Wikipedia provides some nice trivia about the number 99. 99 is the ninth repdigit, a palindromic number and a Kaprekar number. It is the sum of divisors of the first eleven positive integers. 99 is the sum of the cubes of three consecutive integers: 99 = 2^3 + 3^3 [...]

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