As the product of a circuit’s voltage and current, apparent power ( S ) is paramount necessity importance in electrical utilities, electronics, communication, neural network systems. Based on existing AC analysis two-terminal passive elements (i.e., R , L C ), some in-depth research calculations for second-order memory memristive systems introduced to help with revealing their complex unique no...

A connection relating Tamari lattices on symmetric groups regarded as lattices under the weak Bruhat order to the positive monoid P of Thompson group F is presented. Tamari congruence classes correspond to classes of equivalent elements in P. The two well known normal forms in P correspond to endpoints of intervals in the weak Bruhat order that determine the Tamari classes. In the monoid P thes...

In crystallography several classification methods have been proposed to put crystals in an order suitable for specific purposes. The method we consider in this paper [Li1,Li2] has been developed for the classification of silicates in order to characterize the elements of this largest single group of minerals according to crystal chemical properties. The classification mainly refers to structure...

We consider the Givens QR factorization of banded Hessenberg-Toeplitz matrices of large order and relatively small bandwidth. We investigate the asymptotic behavior of the R factor and the Givens rotation when the order of the matrix goes to infinity, and present some interesting convergence properties. These properties can lead to savings in the computation of the exact QR factorization and gi...

A regression is a function g from a partially ordered set to itself such that g(x)~_x for all z. A monotone k-chain is a chain of k elements xx<x2< . . . . .xk such that g(xO~g(x~)~_...~_g(xk). If a partial order has sufficiently many elements compared to the size of its largest antichain, every regression on it will have a monotone (k+ l)-chain. Fixing w, let f(w, k) be the smallest number suc...