Báo cáo toán học: "BIJECTIONS FOR HOOK PAIR IDENTITIES " potx

... 10, 2000. Short, bijective proofs of identities for multisets of hook pairs’ (arm-leg pairs) of the cells of certain diagrams are given. These hook pair identities were origi- nally found by ... conven- tion) hook pairs.” As is shown in [5], these identities imply several nice formulas for special evaluations of Schur and Jack polynomials. All the aforementioned identities f...

Ngày tải lên: 07/08/2014, 06:20

... convex functions. Tamsui Oxford J. Math. Sci. (accepted, 2011) [17] Barnett, NS, Dragomir, SS: An Ostrowski type inequality for double integrals and applications for cubature formulae. Soochow J. Math. ... inequalities for s-convex functions. Int. Math. Forum. 3(40), 1965–1975 (2008) [16] Sarıkaya, MZ, Set, E, Emin ¨ Ozdemir, M, Dragomir, SS: New some Hadamard’s type inequal- ities for...

Ngày tải lên: 20/06/2014, 21:20

... state-of-the-art compo- nents necessary for processing audio archives to the form that is directly searchable in real time. The metho- dology developed within the research effort described in this paper ... retrieval that was used in the aforementioned CLEF campaign. The approach adopted in the presented work conforms to the definition of spoken term detection (STD) as given for example i...

Ngày tải lên: 20/06/2014, 21:20

... coupled neurons with delay coupling (using units of mV for voltages, ms for time, mS/cm 2 for conductances, µA/cm 2 for currents, and µF/cm 2 for capacitance): c ˙v i (t) = I i − g L (v i (t) − ... Lotka–Volterra type models for firing rates, justified by an approximation of Fukai and Tanaka [26]. In their most general form, these are written as ˙x i = x i F i (x), (16) where x i f...

Ngày tải lên: 20/06/2014, 21:20

... ρ inf =0,andρ sup =1. Proof:Set E n =          [τ(n)/n 2 R n ] for the convergent cases, [n!/(ln n) 1/4 ] for the R = ∞ case, [exp(n 3/4 )] for the unlabeled R = 1 case, [τ(n)/R n ] for the remaining divergent cases. We will set C n = 1 for most ... o  C [k] k  . Note that C [m] n changes for at most two values of m:onceform = n and once for the preceding element in A...

Ngày tải lên: 07/08/2014, 06:20

... identity words are of the form (αβ) 4 ,sothe girth is 8. The graph is 64 in Foster’s Census. For future reference we note that the generators for Frucht’s graph satisfy certain identities involving ... in the following discussion. Thevaluesofµ 0 (g)when3≤g≤8 have been known for over thirty years (see, for example, [47]). For these values of g each minimal graph is unique and, apar...

Ngày tải lên: 07/08/2014, 06:22

... the same type of argument as in [19], for example. Hence the right-hand-side of (9) is an upper bound for the sum of the M 2 pairwise Hamming distances. For the left-hand-side, note that since ... choices for the nucleotide in each position j ≤ m; for the m − w +2i positions j ≤ m for which x j and x 2m−j+1 both belong to {C, G} or both belong to {A, T }, the nucleotide at x 2m−j+...

Ngày tải lên: 07/08/2014, 07:21

... η  1 =0,η  2 = −1,η  i = −i for i ≥ 3. The terms in the products in (56) for µ and µ  are equal for i ≥ 3, since µ i = µ  i .We can thus compute the relative probabilities for T and T  by computing ... taking values in z+L for some lattice L ∈ R n ,withL the thinnest possible lattice for X.Letκ be the covariance form of X.LetY N be the sum of N independent copies of X. For...

Ngày tải lên: 07/08/2014, 08:22

... #R54 5 Remark 4. The probabilistic argument we used for deriving our upper bound for the average L p -extreme discrepancy was sketched in [11]. Unfortunately the derivation there contains an error ... 10, 12]). That this is also true for the extreme discrepancy was pointed out by Novak and Wo´zniakowski in [12]. Therefore it is of interest to derive upper bounds for the extreme discre...

Ngày tải lên: 07/08/2014, 13:21

... successful, generates an incidence matrix uniformly at random from all incidence matrices. The probability of success can be estimated and the asymptotic formula for F 1111 (n) results. Let R be a binary ... all pairs (i s , j s ) different, but not all i s , j s different. The first term corresponds to two preorders formed in the following way. The i s , j s are first selected. One preorder is...

Ngày tải lên: 07/08/2014, 13:21