In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach algebras. Then we study their Arens regularity as well as their topological centers . In this paper we first introduce a new multiplication on triangular Banach ...

We consider random Hermitian matrices with independent upper triangular entries. Wigner’s semicircle law says that under certain additional assumptions, the empirical spectral distribution converges to distribution. characterize convergence in terms of variances entries, natural assumptions such as Lindeberg condition. The result extends entries having infinite second moments. As a corollary, a...

This study stochastically predicted ore production through discrete event simulation using four different probability density functions for truck travel times. An underground limestone mine was selected as the area. The time measured by analyzing big data acquired from information and communications technology (ICT) systems in October 2018, (uniform, triangular, normal, observed distribution of...

In this Paper, a “Fuzzy Transportation Problem” is investigated using Triangular membership function. Fuzzy vogel’s approximation method is used to obtain initial basic feasible solution and optimum solution is obtained using fuzzy modified distribution method. The method is illustrated by an example.

Given a complex matrix H, we consider the decomposition H = QRP∗, where R is upper triangular and Q and P have orthonormal columns. Special instances of this decomposition include the singular value decomposition (SVD) and the Schur decomposition where R is an upper triangular matrix with the eigenvalues of H on the diagonal. We show that any diagonal for R can be achieved that satisfies Weyl’s...

Recently, the number of researches aiming at showing real world objects from arbitrary viewpoint have been steadily growing. The processing method is divided into three stages: 3D shape reconstruction by the visual cone intersection method, conversion of 3D shape representation from a voxel form into a triangular patch form, and coloring triangular patches. If the surface area of the object bec...

For little q-Jacobi polynomials and q-Hahn polynomials we give particular q-hypergeometric series representations in which the termwise q = 0 limit can be taken. When rewritten in matrix form, these series representations can be viewed as LU factorizations. We develop a general theory of LU factorizations related to complete systems of orthogonal polynomials with discrete orthogonality relation...

A possibility measure can encode a family of probability measures. This fact is the basis for a transformation of a probability distribution into a possibility distribution that generalises the notion of best interval substitute to a probability distribution with prescribed confidence. This paper describes new properties of this transformation, by relating it with the well-known probability ine...

We compute point sets on the triangle that have low Lebesgue constant, with sixfold symmetries and Gauss-Legendre-Lobatto distribution on the sides, up to interpolation degree 18. Such points have the best Lebesgue constants among the families of symmetric points used so far in the framework of triangular spectral elements.

We extend the Lindeberg method for the central limit theorem to strongly mixing sequences. Here we obtain a generalization of the central limit theorem of Doukhan, Massart and Rio to nonsta-tionary strongly mixing triangular arrays. The method also provides estimates of the L evy distance between the distribution of the normalized sum and the standard normal.