Báo cáo toán học: "On Some Non-Holonomic Sequences" pot

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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, 15:21

... f u and the first term of f v , by x t the g.c.d. of the first term of f u and the second term of f v , by x r the g.c.d. of the second term of f u and the second term of f v , and by x s the g.c.d. ... decomposition of the presentation ideal of the Symmetric algebra Sym(I) in Theorem 3.1. All these results are independent of the characteristi...

Ngày tải lên: 06/08/2014, 05:20

... Vietnam Journal of Mathematics 33:1 (2005) 55–62 OntheLawsofLargeNumbersforBlockwise Martingale Differences and Blockwise Adapted Sequences Le Van Thanh and Nguyen Van Quang Department of Mathematics, ... 3.1 establishes the strong law of large numbers for arbitrary blockwise martingale differences. In Theorem 3.3, we set up the law of large numbers for...

Ngày tải lên: 06/08/2014, 05:20

... ξ 4 v 33 v 15 v 24 , (6.7) On the Hyperbolicity of some Systems of Nonlinear 111 The solvability of the Cauchy problem for the equations (1.5) strongly depends on the hyperbolicity of the system (1.1). So, ... hyperbolic. 3. Proof of the Theorem 2.8 for the Case n =2 Suppose that A T = A, i.e. a 12 = a 21 . We prove that the system (1.1) is hyper- boli...

Ngày tải lên: 06/08/2014, 05:20

... interested in Fully Packed Loops (FPL in short), i.e. sets of disconnected paths which pass through each of the n 2 vertices of the grid and exit through 2n of the external links, every second of them ... number of boxes than Y otherwise. What changes in the case of periodic boundary conditions is the possibility of an action on the “other side” of the link...

Ngày tải lên: 07/08/2014, 08:20

... objects of O. The root of the tree is the object of O having the minimum size (possibly the empty object). The objects having the same value of the parameter p lie at the same level, and the sons of ... : the uppermost cell of the rightmost column of the polyomino has the maximal ordinate among all the cells of the polyomino; U2 : the lowest...

Ngày tải lên: 07/08/2014, 08:20

... β  such that α  α + β  β =1. the electronic journal of combinatorics 11 (2004), #R87 3 On Some Non-Holonomic Sequences Stefan Gerhold ∗ Research Institute for Symbolic Computation Johannes ... series expansion W (z)= ∞  n=1 (−n) n−1 n! z n . Alternatively, a well-known method for proving non-holonomicity [8] can be applied to W (z). The derivatives of W (z) can be written as polynomi...

Ngày tải lên: 07/08/2014, 08:22

... On some Ramsey and Tur´an-type numbers for paths and cycles Tomasz Dzido Institute of Mathematics, University of Gda´nsk Wita Stwosza 57, 80-952 Gda´nsk, Poland tdz@math.univ.gda.pl Marek Kubale Algorithms ... is a path of length 3 joining x and y. Now we will show that any path of length at least 3 but shorter than k − 2 which joins x and y can be extended by two addition...

Ngày tải lên: 07/08/2014, 13:21

... x + 2y ≡ 7 (mod 8). To see this, we only need to inspect when (−1) n+j is +1 and when it is −1. We leave the details to the reader. 3. Conclusions The partition functions contained in this paper ... intimately related to the arithmetic of Z[ √ 2]. Unfortunately we have little information on the combinatorial behavior o f these functions. We also mention that we may easily manipula...

Ngày tải lên: 07/08/2014, 21:21

... 2 Proofs The multiplicative magic squares can be described in terms of the additive ones in the following way: We write n A for the multiplicative magic square given by n A = n A(i,j) 1i,jr . If ... additive -multiplicative magic squares of order r = 5 with distinct entries? We have seen that the answer is negative for r = 4. On the contrary, Horner [4] found an additive and mul...

Ngày tải lên: 08/08/2014, 01:20

... on the other hand, is far from clear, as the edges of the two bundles can possibly cross each other a rbitra rily often in a n optimal drawing of the zip product, and optimal drawings of the ... or bounding the crossing number of graphs used to be the main issue at the beginning, the focus is now shifting to structural aspects of the crossing number problem...

Ngày tải lên: 08/08/2014, 12:22

... m) ≍ log m. Here and in the sequel the symbol a ≍ b means a ≪ b and b ≪ a while the electronic journal of combinatorics 17 (2010), #R100 6 On some densities in the set of permutations Eugenijus ... nontrivial outside the region of classical large deviations. Further, we apply them by inserting into the equalities given in Proposition 1. The very idea goes back...

Ngày tải lên: 08/08/2014, 12:22

... On some Ramsey numbers for quadrilaterals Janusz Dybizba´nski Tomasz Dzido Institute of Informatics University of Gda´nsk, Poland jdybiz@inf.ug.edu.pl, ... computer methods we improve lower and upper bounds for some other multicolor Ramsey numbers involving q uadrilateral C 4 . We consider 3 and 4-color numbers, our results improve known bounds. 1 Introduction In ... Small R...

Ngày tải lên: 08/08/2014, 14:23