Comments for Combinatorics and more
https://gilkalai.wordpress.com
Gil Kalai's blogFri, 10 Jul 2015 16:54:41 +0000hourly1http://wordpress.com/Comment on Open Collaborative Mathematics over the Internet – Three Examples by reddit mod mutiny shows chink in “armor” of user generated content? | Turing Machine
https://gilkalai.wordpress.com/2013/08/19/open-collaborative-mathematics-over-the-internet-three-examples/#comment-19564
Fri, 10 Jul 2015 16:54:41 +0000http://gilkalai.wordpress.com/?p=10826#comment-19564[…] 3. Open Collaborative Mathematics over the Internet – Three Examples | Combinatorics and more […]
]]>Comment on Extremal Combinatorics VI: The Frankl-Wilson Theorem by dvhoan
https://gilkalai.wordpress.com/2009/05/21/extremal-combinatorics-vi-the-frankl-wilson-theorem/#comment-19391
Tue, 30 Jun 2015 07:22:14 +0000http://gilkalai.wordpress.com/?p=994#comment-19391Dear Prof. Gil Kalai, I understand now. Thank you so much for your nice explanation.
]]>Comment on Extremal Combinatorics VI: The Frankl-Wilson Theorem by Gil Kalai
https://gilkalai.wordpress.com/2009/05/21/extremal-combinatorics-vi-the-frankl-wilson-theorem/#comment-19390
Tue, 30 Jun 2015 05:56:01 +0000http://gilkalai.wordpress.com/?p=994#comment-19390Dear dvhoan, The square free monomials are 1, , . So for every subset of {1,2,…,12} of size 0, 1, 2 we have a monomial which is the product of variables with indices in the subset.
]]>Comment on Extremal Combinatorics VI: The Frankl-Wilson Theorem by dvhoan
https://gilkalai.wordpress.com/2009/05/21/extremal-combinatorics-vi-the-frankl-wilson-theorem/#comment-19389
Tue, 30 Jun 2015 04:56:51 +0000http://gilkalai.wordpress.com/?p=994#comment-19389Dear Prof. Gil Karai,
I really don’t understand your argument at the end of the proof : “number of square-free monomials of degree p-1 in n variables which is .”
For example, , square-free monomials of degree 2 in 12 variables are , hence there are 13 square-free monomials in 12 variables. BUT your answer is . Could you please explain?
Many thanks,
]]>Comment on Extremal Combinatorics VI: The Frankl-Wilson Theorem by dvhoan
https://gilkalai.wordpress.com/2009/05/21/extremal-combinatorics-vi-the-frankl-wilson-theorem/#comment-19380
Mon, 29 Jun 2015 19:29:08 +0000http://gilkalai.wordpress.com/?p=994#comment-19380Yes, number 2 is only the even prime. I think it’s better to say p>2.
]]>Comment on Extremal Combinatorics VI: The Frankl-Wilson Theorem by Gil Kalai
https://gilkalai.wordpress.com/2009/05/21/extremal-combinatorics-vi-the-frankl-wilson-theorem/#comment-19372
Mon, 29 Jun 2015 13:19:21 +0000http://gilkalai.wordpress.com/?p=994#comment-19372Right, it is always the case that = 0 (mod p) but for being 0 (mod 4p) we need that p is an odd prime. Corrected. Thanks.
]]>Comment on Extremal Combinatorics VI: The Frankl-Wilson Theorem by dvhoan
https://gilkalai.wordpress.com/2009/05/21/extremal-combinatorics-vi-the-frankl-wilson-theorem/#comment-19352
Sun, 28 Jun 2015 17:24:13 +0000http://gilkalai.wordpress.com/?p=994#comment-19352Dear Prof. Gil Kalai,
Is Claim 1 correct? If I take p = 2, n = 4×2 = 8. Let x = (1,1,1,1,-1,-1,-1,-1), y = (1,-1,1,1,1,-1,-1,-1), then $ = 0$ (mod 2) but $=4$ (mod 8), a contradiction.
]]>Comment on Extremal Combinatorics VI: The Frankl-Wilson Theorem by dvhoan
https://gilkalai.wordpress.com/2009/05/21/extremal-combinatorics-vi-the-frankl-wilson-theorem/#comment-19351
Sun, 28 Jun 2015 17:21:20 +0000http://gilkalai.wordpress.com/?p=994#comment-19351Dear Prof. Gil Kalai,
Is Claim 1 correct? If I take p = 2, n = 4×2 = 8. Let x = (1,1,1,1,-1,-1,-1,-1), y = (1,-1,1,1,1,-1,-1,-1), then = 0 mod 2 but =6 mod 8, a contradiction.
]]>Comment on My Fest by Gil Kalai
https://gilkalai.wordpress.com/2015/04/22/my-fest/#comment-19120
Thu, 11 Jun 2015 09:52:56 +0000http://gilkalai.wordpress.com/?p=12875#comment-19120Thank you!
]]>Comment on My Fest by dvhoan
https://gilkalai.wordpress.com/2015/04/22/my-fest/#comment-19117
Thu, 11 Jun 2015 02:37:19 +0000http://gilkalai.wordpress.com/?p=12875#comment-19117Dear Prof. Gil Kalai,
I really love your blog post. This is the best blog for combinatorics. Happy birthday to you !
]]>