Schlesinger transformations are discrete monodromy preserving symmetry transformations of a meromorphic connection which shift by integers the eigenvalues of its residues. We study Schlesinger transformations for twisted slN -valued connections on the torus. A universal construction is presented which gives the elementary two-point transformations in terms of Belavin’s elliptic quantum R-matrix...

Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, D 04109 Leipzig, Germany Abstract In this paper, three methods for describing the conformal transformations of the S-matrix in quantum field theory are proposed. They are illustrated by applying the algebraic renormalization procedure to the quantum scalar field theory, defined by the LSZ reduction mechanism in the BPHZ...

We give a survey of the known results concerning the sets c0(Λ), c(Λ) and c∞(Λ) including their basic topological properties, their first and second dual spaces, and the characterizations of matrix transformations from them into the spaces l∞, c and c0. Furthermore, we establish some new results such as the representations of the general bounded linear operators from c(Λ) into the spaces l∞, c ...

We illustrate the potential of conditional hedge transformations in Web-related applications on the example of PρLog: an extension of logic programming with advanced rule-based programming features for hedge transformations, strategies, and regular constraints.

In this paper, finite element method is used to obtain thermal conductivity coefficients of single-walled carbon nanotube reinforced polypropylene. For this purpose, the two-dimensional representative volume elements are modeled. The effect of different parameters such as nanotube dispersion pattern, nanotube volume percentage in polymer matrix, interphase thickness between nanotube and surroun...

We construct the family of Poisson nonlinear transformations defined on the countable sample space of nonnegative integers and investigate their trajectory behavior. We have proved that these nonlinear transformations are regular.

In mathematics, complete classification of structures, such as groups and rings, is often a primary goal. Linear transformations are no exception to this. Certain canonical forms exist to classify linear transformations, therefore creating a unique representative of linear transformations in the same similarity class. Diagonal representation is of course one of the simplest examples of a canoni...

A new algorithm is proposed to accelerate the RANSAC model quality calculations. The method based on partitioning joint correspondence space, e.g., 2D-2D point correspondences, into a pair of regular grids. grid cells are mapped by minimal sample models, estimated within RANSAC, reject correspondences that inconsistent with parameters early. technique general. It works arbitrary transformations...

in this paper we consider selberg-type square matrices integrals with focus on kummer-beta types i & ii integrals. for generality of the results for real normed division algebras, the generalized matrix variate kummer-beta types i & ii are defined under the abstract algebra. then selberg-type integrals are calculated under orthogonal transformations.