Báo cáo toán học: "Two Remarks on Skew Tableaux" docx

... elementary symmetric function (with e 0 = 1 and e r = 0 for r < 0) and ′ denotes the conjugate partition. 2 Diagonal strips We begin with some connections between generating functions and determinants. Lemma ... Weierstrass product for the function sin(πz)/πz takes the form sin(πz) πz =  k≥1  1 − z 2 k 2  . (3.1) Consider the Taylor series expansion at z = 0. On the one hand, the coeffi...

Ngày tải lên: 08/08/2014, 14:23

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

... authors consider the sufficient condition ω(n)ω(−n)=o(n) for weak amenability of Beurling algebras on the integers. In this paper we show that this characterization does not generalize to non-abelian ... and [9]. Note that the condition sup{ω(g)ω(g −1 ):g ∈ G} < ∞ implies the condition (1.1). 2. Main Results Our aim in this section is to answer negatively the question 1.4 by producing an e...

Ngày tải lên: 06/08/2014, 05:20

... efficiency in vector optimization with increasing-along-rays property and Minty variational inequalities, Proc. 8th International Symposium on Generalized Convexity and Monotonicity, July 4–8, 2005, ... and M. Rocca, Minty Variational Inequality and Op- timization: Scalar and Vector Case, In: Generalized convexity, generalized mono- tonicity and applications, Nonconvex Optim. Appl., 77, Sprin...

Ngày tải lên: 06/08/2014, 05:20

... least a lower bound on P L q (u). According to Theorem 5, it is sufficent to consider only odd values of q. The following convention is used. Extending inequality (1) by u ∈{0, 1}, one gets P (K,d K ) (u) ... some applications, let u(d) ≥ u ∈ N \{1}. (i) Let u = 3. Inequality (2) and Theorem 2 imply the condition 3d ≤ qn.Theorem5 shows that inequality (1) cannot improve this condition. (ii) L...

Ngày tải lên: 07/08/2014, 07:21

... h ρ . It is convenient to consider first the action of ∂ on these g enerating series. The argument in [12, Section 7.2] shows that 1 + ∂ acts on H(u 1 ; λ) . . . H(u k ; λ) as multiplication by the ... definition coincides with (3.2). the electronic journal of combinatorics 17 (2010), #R43 8 Plancherel averages: Remarks on a paper by Stanley Grigori Olshanski ∗ Institute for Information...

Ngày tải lên: 08/08/2014, 12:22

Ngày tải lên: 05/08/2014, 10:20

... all-ones 5 × 5 matrix. We now construct four 26 × 26 adjacency matrices M i ,sothatM 1 and M 2 contain no K 3 ,andM 3 and M 4 contain no C 4 . Given a triangle-free graph on n vertices, one can ... triangle-free graph on n vertices, one can construct a triangle-free graph on nm vertices by replacing each vertex with m vertices and each edge with K m,m .We construct the two first graphs,...

Ngày tải lên: 07/08/2014, 08:22

... require plan reasoning. 3. Role of Plan Reasoning Plan reasoning constitutes our second constraint on speech act recognition. There are four roles for plan reasoning in the recognition process. ... is a precondition for stating it, and this logical connection enables identification of the real question. But Gordon and Lakoff write off this one, because their sincerity conditions ar...

Ngày tải lên: 21/02/2014, 20:20