Báo cáo toán học: "Averages of projections " ppsx

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Ngày tải lên: 05/08/2014, 15:21

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Ngày tải lên: 05/08/2014, 15:21

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Ngày tải lên: 05/08/2014, 15:21

... expressed as a rational linear combination of products of single and double Euler sums of weight n. We define the weight of a product of Euler sums as the sum of the arguments appearing in the product. ... combination of products of double and single Euler sums. The proof involves finding and solving linear equations which relate the different types of sums to each other. We al...

Ngày tải lên: 07/08/2014, 06:20

... shows that (67) and the m = 1 case of (28) are equivalent. The complexity of the proof of (69), outlined in the Appendix, may serve as an indication of the difficulty of proving (28) in general. 4 Evaluations ... language of graded commutative rings [16]. We find that (8) is the first member of a class of arbitrary-depth results for self- dual non-alternating sums that evaluate to...

Ngày tải lên: 07/08/2014, 06:22

... +1, so that all of the prime factors of m are certainly ≤ m ≤ √ 2z + √ z +1. But then, all of the prime factors of m belong to S J (as we saw in the first paragraph of this proof), and so m belongs ... proof of Theorem 2 Corollary 2. Fix the real number z ≥ ( √ 2 − 1) 2 . Suppose that the product of some subset of the integers in I =[ √ 2z − √ z, √ 2z + √ z +1], equals N times...

Ngày tải lên: 07/08/2014, 06:22

... description of all mergings of classes of the 2-orbits of the group G 1 of order 200 in its transitive action of degree 100 on the set Ω. This group is naturally described as a subgroup of H,namelyG 1 ∼ = (F 20 5 × ... main target of our interest. On next step of computations we tried group H of order 1200 which is an overgroup of H. By definition, H is the normalizer of...

Ngày tải lên: 07/08/2014, 07:21

... interpretation of moments of the characteristic polynomials enables an explicit formula to be obtained for the total number of two-rowed lexicographic arrays constructed from the letters of an alphabet of ... provided for the moments of characteristic polynomials of random unitary matrices. This leads to a rather unexpected con- sequence of the Keating and Snaith conjecture: t...

Ngày tải lên: 07/08/2014, 07:21

... last claim in the theorem. 9 Proofs of Theorems 1 and 2 All mentions of Run(···) in Theorem 1 are divided by factorials and so can be thought of as functions of the form f(∗, ∗,γ) according to ... electronic journal of combinatorics 10 (2003), #R40 10 Asymptotics of Permutations with Nearly Periodic Patterns of Rises and Falls Edward A. Bender Department of Mathematics Univers...

Ngày tải lên: 07/08/2014, 08:20

... of G is a set of subgraphs G 1 , ,G t such that any edge of G is an edge of exactly one of G 1 , ,G t and all G 1 , ,G t ∈ .Letφ(G, ) denote the minimum size of an -decomposition of G. The main ... non-complete graph of order 4. 1 Introduction Let G be a simple graph with vertex set V and edge set E. The number of vertices of a graph is its order.Thedegree of a vertex v...

Ngày tải lên: 07/08/2014, 13:21