We offer two methods of inserting eigenvalues into spectral gaps of a given background Jacobi operator: The single commutation method which introduces eigenvalues into the lowest spectral gap of a given semi-bounded background Jacobi operator and the double commutation method which inserts eigenvalues into arbitrary spectral gaps. Moreover, we prove unitary equivalence of the commuted operators...

We consider a certain decomposition of the matrix algebra Mn(F ), where F is a field. The commutation relations of that decomposition yield an n × n matrix Mn , which determines the multilinear polynomial identities of Mn(F ). Thus if char(F ) = 0, the matrix Mn ) determines the polynomial identities of Mn(F ). We show that M Mn(F ) is very close to the tensor product of two n × n Vandermonde m...

The scientific article analyses theoretical fundamentals of commutation in the region from rural to urban areas, highlights its main reasons and examines some aspects of pendulum migration in the region. Both positive and negative consequences of the commutation of the population have been studied. The present population size and the scale of arrival and departure of the population in the conte...

This paper presents a technique to generate a complete family of two-switch pulsewidth-modulated (PWM) with active clamping dc/dc converters, featuring soft commutation of the semiconductors at zero-voltage (ZVS). The main purpose of this technique is to integrate these converters under a same theoretical principle to derive the topologies in a comprehensive form and generate new circuits. All ...

The derivation of the space averaged Navier–Stokes equations for the large eddy simulation (LES) of turbulent incompressible ows introduces two groups of terms which do not depend only on the space averaged ow eld variables: the divergence of the Reynolds stress tensor and commutation errors. Whereas the former is studied intensively in the literature, the latter terms are usually neglected. Th...