Báo cáo toán học: "A Census of Vertices by Generations in Regular Tessellations of the Plane" doc

... vertices in its generation. These edges link the vertices of each generation into a cycle, with all the cycles surrounding the orig in, and the cycles of earlier generations nested within those of ... obtained the generating functions for the number of vertices, classified by generation, in all of the regular tessel lations of the Euclidean or hyperb...

Ngày tải lên: 08/08/2014, 14:23

... proved to be useful in the study of minimal components, in the dominance order of partitions, of Kr onecker products [14]. The number lr(λ, µ; π) can be described as an inner product of characters. ... Now, since ℓ(µ) = q, all entries of T i equal to q must be in row q of µ. Then µ q ≥ ρ(1) q + · · · + ρ(r) q ≥ rλ p . The claim follows. 4.4 Example. To illustrate th...

Ngày tải lên: 07/08/2014, 21:21

... its definition is based on the co-ranks of graphs obtained from G by choosing two disjoint subsets of vertices, A and B, by adding loops at the vertices of B and taking the graph of G induced on A ∪ B. ... for the computation of ν(P (G)) by an induction on the structure of G using Corollary 29. The costs of computations are the same for polynomials with num...

Ngày tải lên: 07/08/2014, 21:20

... are indexed by a subset J ⊂ I, retaining the original relations. The Dynkin diagram of the cor r esponding object is obtained by deleting the relevant nodes and connecting edges from the original ... (w 1 w 2 · · · w k ) with w i in the index set and a signed diagram D, we obtain the masked word w D by applying the sign of i in D to each instance of i in w. F...

Ngày tải lên: 08/08/2014, 12:23

... polytope’, since the number of facets /vertices changes for different values of t. Another variation of the idea of vector-dilating a polytope is to dilate the vertices by certain factors, instead of the ... rational polytopes of dimension n with n + 1 vertices. We use the description of a simplex as the intersection of n + 1 halfspaces, which determine the...

Ngày tải lên: 07/08/2014, 06:20

... mining scheme support this new mining scheme. Our mining experiment shows that, using the new web mining scheme, the web mining throughput is increased by 32%; (ii) The quality of the mined ... Based on these mining results, the quality of the mined data, the mining coverage and mining efficiency are measured. First, we benchmarked the precision of the mined...

Ngày tải lên: 08/03/2014, 02:21

... ordering of the nodes in a directed graph G. Consider the set S of all nodes that achieve the minimum for this ordering. The subgraph G  corresponding to the set S of minimal nodes in G is the ... values of α. The initial condition, z(0), is the fixed point (z = 0) in both cases but when the noise is larger the system quickly leaves the basin of attractio...

Ngày tải lên: 20/06/2014, 20:20

... 5 important role in initiating the lignin degrading reaction of the fungus, because they can cleave lignin structures extracellularly in the first step of lignin mineralization (Cullen ... understood. The lack of knowledge regarding the ligninolytic property of these fungi is an impediment to the development of a highly effective lignin-degrading fungal strain f...

Ngày tải lên: 20/06/2014, 20:20

... sums of random variables in the domain of attraction of the normal law Qunying Wu 1,2 1 College of Science, Guilin University of Technology, Guilin 541004, P. R. China 2 Guangxi Key Laboratory of ... supported by the National Natural Science Foundation of China (11061012), the project supported by program to Sponsor Teams for Innovation in the Construction of...

Ngày tải lên: 20/06/2014, 21:20

...  f C n +1 x 0 , n ≥ 1 (1:19) They obtained a strong convergence theorem for finding an elemen t in the fixed point set of T. The results of Li et al. [26] extended and improved on the results of Matsushita ... and obtained the following strong convergence theorem by the hybrid iterative scheme for approximation of common fixed point of finite family of rel atively q...

Ngày tải lên: 20/06/2014, 21:20