Báo cáo toán học: "A 2-COLORING OF [1, N ] CAN HAVE (1/22)N 2 + O(N ) MONOCHROMATIC SCHUR TRIPLES, BUT NOT LESS" potx

Báo cáo toán học: "A 2-COLORING OF [1, N ] CAN HAVE (1/22)N 2 + O(N ) MONOCHROMATIC SCHUR TRIPLES, BUT NOT LESS" potx

Báo cáo toán học: "A 2-COLORING OF [1, N ] CAN HAVE (1/22)N 2 + O(N ) MONOCHROMATIC SCHUR TRIPLES, BUT NOT LESS" potx

... s<∞ F(Z s )= 12s +8 16(12s + 1 1) n 2 + O (n) , which is strictly increasing in s. An easy calculation shows F (Z 0 ∞ )= F(Z 1 ∞ )= (1/16 )n 2 + O (n) . And The Winner Is: Z 0 =0 4n/ 11 1 6n/ 11 0 n/ 11 setting ... 2- COLORING OF [1 ,N] CAN HAVE (1 /22 )N 2 + O (N) MONOCHROMATIC SCHUR TRIPLES, BUT NOT LESS! Aaron Robertson a...

Ngày tải lên: 07/08/2014, 06:22

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Báo cáo toán học: "Extremal subsets of {1, ..., n} avoiding solutions to linear equations in three variables" doc

Báo cáo toán học: "Extremal subsets of {1, ..., n} avoiding solutions to linear equations in three variables" doc

... n] not congruent to t (mod b), an integer x ∈ A c ∩ [n − s, n] , congruent to t (mod b). Noting in addition that at least one of n and n − s is not in A, one readily verifies that hence |A ∩ [n ... min{s ∈ [1, n] : l 2 (s) < s}. A computation similar to that in the Appendix of [ 1] yields that l 2 (s) < s ⇔ s > (b + 1) 2 c[c 2 − b(b + 1 )]...

Ngày tải lên: 07/08/2014, 15:23

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Báo cáo toán học: "A Characterization of Morrey Type Besov and Triebel-Lizorkin Spaces" ppt

Báo cáo toán học: "A Characterization of Morrey Type Besov and Triebel-Lizorkin Spaces" ppt

... y |)( 1 + 2 j |y − z |) ≥ (1 + 2 j |x − y |), (20 ) |ψ k ∗ f (z)|  |ψ k ∗ f(z)| r [ψ ∗ k,a f(x )] 1−r (1 + 2 k |x − z |) a(1−r) , and (1 + 2 k |x − z |) a(1−r) (1 + 2 j |x − z |) a  2 (k−j)a (1 + 2 k |x ... estimates (1 7) and (1 8) into (1 6), we obtain that for all f ∈S  (R n ), y∈ R n , and j ∈ N, |ψ j ∗ f (y...

Ngày tải lên: 06/08/2014, 05:20

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