Báo cáo toán học: "Systemes dinamiques generalises et corespondances " pdf
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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, 10:20
Báo cáo toán học: "Some Examples of ACS-Rings" pdf
... = 0. Let 14 Qingyi Zeng Secondly, we consider the Dorroh extension of ring R by Z. Let R be a ring and Z the ring of all integers. Let S = R ∗ Z be the Dorroh extension of R by Z. As sets, S ... section we first investigate the relation between the ACS-property of ring R and that of the ring of all polynomials over ring R in indeterminant x. Lemma 3.1. Let R be any reduced ring and S = R[x] .....
Ngày tải lên: 06/08/2014, 05:20
Báo cáo toán học: "Some New Optimum Golomb Rectangles" pdf
... chosen from the set {i +(2N − 1)(j − 1)|1 ≤ i ≤ N, 1 ≤ j ≤ M }. Proof: Let {(b i ,c i )|1 ≤ b i ≤ N, 1 ≤ c i ≤ M,1 ≤ i ≤ K} be a set of K positions in a N × M rectangle. We claim this set consists ... to allow completion of the ruler or when allowed by symmetry conditions. (Symmetry conditions allow search trees to be pruned because we need only generate one member of each symmetry class of ....
Ngày tải lên: 07/08/2014, 06:20
Báo cáo toán học: "n Random Greedy Triangle Packing" pdf
... great. Theorem 6 Let m and M be, respectively, the minimum and maximum values taken by Y over all possible outcomes. Let C be a set of exceptional outcomes. Consider a strategy for determining Y , ... Markov’s inequality. Let ξ>0 be a fixed real number such that η ≤ n −ξ . Notethatwewillalwayspickη so that this is possible; for instance in the n 11/6+o(1) result η will be chosen to be n −1/...
Ngày tải lên: 07/08/2014, 06:20
Báo cáo toán học: "Relaxed Graceful Labellings of Trees" pdf
... linear bounds in the relevant metrics are given for range-relaxed and vertex-relaxed grace- ful labellings. 1 Introduction Let G be a graph with vertex set V and edge set E,withm = |E|. The mapping f(V ... leftmost in this representation. Let the number of vertices in this longest path be l,let the vertex on this path at level i be denoted as v i , i =0, 1, ,l−1, and let the number of vertice...
Ngày tải lên: 07/08/2014, 06:23
Báo cáo toán học: "On Hypergraphs of Girth Five" pdf
... described below. Let A be a subset of Z n ,andletB be a set of r integers. Define H(A, B)tobethe r-partite r-graph with parts V b = Z n , b ∈ B.Foreachx ∈ Z n and each a ∈ A,anedge of H(A, B)isthesetofr vertices ... ⊂ Z n is a k-fold Sidon set, and let H(A, B)bether-partite r-graph defined before Proposition 2.4. Let us verify that H(A, B) has girth at least five. For convenience, set H(A, B)=H....
Ngày tải lên: 07/08/2014, 07:21
Báo cáo toán học: "On the Associative Nijenhuis Relation" pdf
... Kosmann-Schwarzbach, The modified Yang-Baxter equation and bi-Hamiltonian structures, Differential geometric methods in theoretical physics (Chester, 1988), 12–25, World Sci. Publishing, Teaneck, NJ, 1989. [18] ... free Rota-Baxter algebra ( ¯ T(A), )overA [9]: Corollary 4.6. Let ¯ T(A) be equipped with the augmented quasi-shuffle product .Thetwo compositions X ≺ Z := X B + e (Z) X Z := − ...
Ngày tải lên: 07/08/2014, 08:20
Báo cáo toán học: "Pattern avoidance classes and subpermutations" pdf
... every sum-complete closed set is a natural class. Proposition 2.3 Let γ be any (finite) permutation and S any sum-complete closed set. Then Sub(γ) ⊕ S is a natural class. Proof: Let β 1 ,β 2 , ... [3]. Lemma 2.2 Let X be a closed set with basis B. Then X is sum-complete if and only if B contains only indecomposable permutations. We shall see that natural classes and sum-complete closed sets ar...
Ngày tải lên: 07/08/2014, 13:21