Báo cáo toán học: " INCREASING SUBSEQUENCES AND THE CLASSICAL GROUPS" ppsx

... asymptotic formula for f nk from theorem 1.1, together with standard results from random matrix theory relating the behavior of the eigenvalues of random unitary matrices to the behavior of the eigenvalues of ... restricted increasing subsequence length. Section 1 states and proves the connection between the classical increasing sub- sequence problem and the unitary gr...

Ngày tải lên: 07/08/2014, 06:22

... S and S  merge A, or both S and S  merge B, then, by Theorem 2.2, (ii) holds. Furthermore, making use of the note, the argument for the case that one of the sequences, S say, merges A and the ... V with the property that if e and f are distinct edges of G with the same colour, then at most one of these edges is incident with a vertex in U. The unification of the ver...

Ngày tải lên: 07/08/2014, 21:20

... is swallowed up in the o(1) term and the value for i = m simplifies to the main term in the bound given. 3 Generalizing the Katona-Sze mer´edi Theorem In this section we prove Theorem 4. Given a ... b(G) denote the minimum, over all collections of bipartite gra phs that cover the edges of G, of the sum of the orders of these bipartite graphs. One proof of the Katona- Szem...

Ngày tải lên: 07/08/2014, 21:21

... closed, and convex subsets of the bounded and convex set coC, then µ(C n ) = 0 (n ∈ N), and therefore C ∞ = ∅. Appealing again to the ˇ Smulian theorem [6, Theorem V.6.2] we find that the convex ... denotes the closed and convex hull of A and H(C, D) is the Hausdorff-Pompeiu distance between the bounded subsets C and D of X. The E-L measure of nonconvexity was introdu...

Ngày tải lên: 20/06/2014, 20:20

... are preserved through the mapping, the stable region always lies to the left of the contour. In the v- plane, this is the region above the top horizontal line, and below the lower h orizontal 0 ... Cleveland, OH 44135, USA Authors’ contributions TH and CL worked together in the derivation of the mathematical results. Both authors read and approved the final manuscr...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

... Find whether G 1 and G 2 have orthogonal Euler tours. If G 1 and G 2 are equal to the graph G of Problem 1.7 and each directed transition of G has the same colour in G 1 and G 2 , then T 1 and T 2 are ... 2-matroids Let Q 1 and Q 2 be 2-matroids. When Q 1 and Q 2 have the same ground-set and skew classes we shall use Q 1 + Q 2 to denote the parity system which is the...

Ngày tải lên: 07/08/2014, 06:20