Báo cáo toán học: "Spectral asymptotics for the "soft" selfadjoint extension of a symmetric elliptic differential operator " ppt

... development of efficient methods of access- ing information in huge texts. Furthermore, user demand has shifted toward the retrieval of more precise and complex information, including re- lational concepts. ... Comparison of X-1 and X-2 clarifies the effect of using the term ontology. Comparison of X-2 and X-3 shows the effect of the event ex- pression ontology. Th...

Ngày tải lên: 17/03/2014, 04:20

... view on the first 10 years of CR. More specifically of the different challenges faced by the CR decision making community and the suggested solution to answer them. We state that most of these decision ... upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Decision making for cognitive radio equipment: analysis...

Ngày tải lên: 20/06/2014, 20:20

... q-Bernoulli, q-Euler numbers, and polynomials. 2. q-Bernoulli, q-Euler numbers and polynomials related to the Bosonic and the Fermionic p-adic integral on ℤ p In this section, we provide some basic formulas ... functions of the q-Bernoulli, q-Eule r numbers, and polynomials. We shall provide some basic formulas for the q-Bernoulli and q- Euler polynomials...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 15:20

... =0|z=n 2 p)≤P(X=0|z≤n 2 p)≤3P(X=0)→0 by the theorem, where the last inequality above follows due to the observation that P(A|B) ≤ P(A)/P(B) and the fact that the central limit theorem [or the approxi- mate and ... if the exact form of (7) is used for , then = o(1) i à 2 / i t = o(n 1/5 ), so that even the extended Janson inequality will not lead to an improvement in the re...

Ngày tải lên: 07/08/2014, 06:20

... O(n −2/5 ) Multivariate Asymptotics for Products of Large Powers with Applications to Lagrange Inversion Edward A. Bender Department of Mathematics University of California, San Diego La Jolla, ... next example.) 6. Examples of Inversion of Several Functions We now turn to examples of inversion of more than one function. Because of the intimate con...

Ngày tải lên: 07/08/2014, 06:20

... several counting problems on the square lattice L n . There the authors gave the following bounds for the asymp- totics of f(n), the number of forests of L n ,and (n), the number of acyclic orienta- tions ... y>0andz t y =1. the electronic journal of combinatorics 10 (2003), #R4 15 Improved bounds for the number of forests and acyclic...

Ngày tải lên: 07/08/2014, 07:21

... of the higher q, t-Catalan sequences. In the rest of the paper, we present some conjectured combinatorial interpretations for the higher q, t-Catalan sequences. We prove some combinatorial formulas, ... proved for these trivariate sequences. 1 Introduction In [7], Garsia and Haiman introduced a q, t-analogue of the Catalan numbers, which they called the q, t-C...

Ngày tải lên: 07/08/2014, 08:22

... in the next section, to prove that a MNT graph of order n ≥ 10 has at least 3n−2 2 edges. The first one concerns the lower bound for the number of edges of MNH graphs. It is the combination of ... is not complete, then some internal vertex of Q has a neighbour in G − V (Q). the electronic journal of combinatorics 12 (2005), #R32 2 Lower Bound for the Size...

Ngày tải lên: 07/08/2014, 13:21

... Interpretations for Rank-Two Cluster Algebras of Affine Type Gregg Musiker Department of Mathematics University of California, San Diego La Jolla, CA 92093-0112 gmusiker@math.ucsd.edu James Propp Department of ... know this interpretation for the coefficients of x n+3 (s n ), we obtain a proof of the formula for the entire sum, i.e. Theorem 2 and Theorem 5.2 of [4] (...

Ngày tải lên: 07/08/2014, 15:22

... with n = 7 and s = 27 and get 8k 5 + 15k 6 + 22k 7 + 29  i 8 k i ≤ 58. (8) Multiplication with 3/22 and rounding off yields Lemma 3. the electronic journal of combinatorics 14 (20 07) , #R 27 4 5 ... we show k 3 (7) ≥ 156 and k 3 (8) ≥ 402 improving on the best previously known bounds k 3 (7) ≥ 153 and k 3 (8) ≥ 3 98. The proofs are founded on a recent technique...

Ngày tải lên: 07/08/2014, 15:22

... key ingredient of our proof. Given the informal discussion above, the proof of Theorem 1.1 looks very roughly as follows. At the first part of the proof we consider the graph G(n, ρ) for a relatively ... claim holds for d − 1. We prove the claim for d. Let S = (G 1 , G 2 , . . . , G d ) be the sequence of the labels of the nodes u i , i ∈ [d], along the path...

Ngày tải lên: 07/08/2014, 21:21

... for connected graphs. Computations up to 12 vertices have shown that these graphs have the same zeta function. Czarneski also gave an example o f a pair of graphs with the same zeta function but differing ... Introduction and Statement of Results In this paper we study properties of graphs which are determined by the Ihara zeta function. Here, we allow multiple...

Ngày tải lên: 08/08/2014, 01:20