We prove a conjecture of [3] giving a closed form formula for the norm of the Jack polynomials in superspace with respect to a certain scalar product. The proof is mainly combinatorial and relies on the explicit expression in terms of admissible tableaux of the non-symmetric Jack polynomials. In the final step of the proof appears an identity on weighted sums of partitions that we demonstrate u...

The paper is a contribution both to the theoretical foundations and to the actual construction of efficient automatizable proof procedures for non-classical logics. We focus here on the case of finite-valued logics, and exhibit: (i) a mechanism for producing a classic-like description of them in terms of an effective variety of bivalent semantics; (ii) a mechanism for extracting, from the bival...

The following text is an annotation to Marc A. A. van Leeuwen's paper " Tableau algorithms defined naturally for pictures " in its version of 25 November 2011. This annotation contains corrections of a few mistakes. Different comments are separated by horizontal lines, like this: Page 1, §1: Replace " as a tableaux " by " as tableaux ". Page 3, §2.2: Replace " The the non-empty " by " The non-e...

In this paper, a theorem is obtained on the approximation in short intervals of collection analytic functions by shifts (ζ(s+itkα1),…,ζ(s+itkαr)) Riemann zeta function. Here, {tk:k∈N} sequence Gram numbers, and α1,…,αr are different positive numbers not exceeding 1. It proved that above set interval [N,N+M], here M=o(N) as N→∞, has lower density. For proof, joint limit for weakly convergent pro...

Let $\widetilde{X}$ be a smooth Riemannian manifold equipped with proper, free, isometric and cocompact action of discrete group $\Gamma$. In this paper we prove that the analytic surgery exact sequence Higson-Roe for is isomorphic to associated adiabatic deformation Lie groupoid $\widetilde{X}\times_\Gamma\widetilde{X}$. We then generalize result context smoothly stratified manifolds. Finally,...

Let P be the Gelfand–Tsetlin polytope defined by the skew shape λ/μ and weight w. In the case corresponding to a standard Young tableau, we completely characterize for which shapes λ/μ the polytope P is integral. Furthermore, we show that P is a compressed polytopewhenever it is integral and corresponds to a standard Young tableau.We conjecture that a similar property holds for arbitraryw, name...

This paper is devoted to the computation of statistical characteristics of the response of discrete vibration systems with a random external excitation. The excitation can act at multiple points and is modeled by a time-shifted random process and its derivatives up to the second order. Statistical characteristics of the response are given by expansions as to the correlation length of a weakly c...

OBJECTIVE Health care researchers have not taken full advantage of the potential to effectively convey meaning in their multivariate data through graphical presentation. The aim of this paper is to translate knowledge from the fields of analytical chemistry, toxicology, and marketing research to the field of medicine by introducing the radar plot, a useful graphical display method for multivari...

We consider the $2\to 2$ scattering amplitude of identical massive particles. identify Landau curves in multi-particle region $16m^2 \leq s, t < 36m^2$. systematically generate and select relevant graphs numerically solve associated equations for leading singularity. find an infinite sequence that accumulates at finite $s$ $t$ on physical sheet. expect such accumulations are generic $s,t > 16m^...