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Jiayi Liu's user avatar
Jiayi Liu's user avatar
Jiayi Liu's user avatar
Jiayi Liu
  • Member for 9 years, 6 months
  • Last seen more than a month ago
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Complexity of a combinatorial constraint
It is "for some $s<r$". Thanks~
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Complexity of a combinatorial constraint
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Combinatorially defined effectively closed set
You can think of it that way. A "naturally" defined (for non logicians) $Q$.
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Combinatorially defined effectively closed set
It's explained @NoahSchweber. I'd also be happy to see an algebrically defined one~
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Combinatorially defined effectively closed set
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Combinatorially defined effectively closed set
Thanks for responding @JoelDavidHamkins~ But this definition isn't purely combinatorial. I will add more explanation in my question.
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Small set in partition-large class
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Small set in partition-large class
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Small set in partition-large class
new thinking on the question
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Small set in partition-large class
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A gap problem in elementary additive combinatorics
This doesn't seems true. Let $x_1,\cdots$ be increasing and fast growing. For any $M\in \chi(a,b)$, $Mx^T$ necessarily involves elements of $\mathbf{x}$ other than $x_1$.
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Covering subset with large probability
Right. I need to rethink about the question I'm asking. I actually want $N$ to be very large and $k$ fixed (but yet sufficiently large).
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Covering subset with large probability
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