In this paper, we are concerned with the inversion of circulant matrices and their quantized tensor-train (QTT) structure. particular, show that inverse a complex matrix A $$ , generated by first column form ( 0 … m ? 1 n ) ? {\left({a}_0,\dots, {a}_{m-1},0,\dots, 0,{a}_{-n},\dots, {a}_{-1}\right)}^{\top } admits QTT representation ranks bounded + \left(m+n\right) . Under certain assumptions on...

thirty pairs ovaries of camel from isfahan abattoiry were collected. in each specimen,  some parameters such as  length, width and thickness of left and right ovaries were measured. for histological studies , after tissue preparation  and staining with h&e;, the ovarian follicles were recognized and classified. for each follicle some parameters such as: diameter of oocyte and follicle, thicknes...

In this paper, we study inverses and quotients of mappings between ordered sets, in particular between complete lattices, which are analogous to inverses and quotients of positive numbers. We investigate to what extent a generalized inverse can serve as a left inverse and as a right inverse, and how an inverse of an inverse relates to the identity mapping. The generalized inverses and quotients...

Right-linear finite path overlapping TRS are shown to effectively preserve recognizability. The class of right-linear finite path overlapping TRS properly includes the class of linear generalized semimonadic TRS and the class of inverse left-linear growing TRS, which are known to effectively preserve recognizability.

We begin with some reminders and remarks on non-commutative rings. First, recall that if R is a not necessarily commutative ring, an element x ∈ R is invertible if it has both a left (multiplicative) inverse and a right (multiplicative) inverse; it then follows that the two are necessarily equal. Note however, that unlike the example of n× n matrices over a field, in a general noncommutative ri...

introduction: the correlation between right and left ventricular ejection fractions (rvef and lvef, respectively) has been studied in only a small number of patients with a marked decrease in rvef and lvef. the aim of the present study was to compare lvef and rvef in patients with ischemic heart disease. rvef and lvef were measured by cardiovascular magnetic resonance (cmr) imaging. materials a...

Introduction: Brain lateralization is associated with human behavior. Therefore, this study aimed at investigating the effects of brain lateralization on the scores of paranormal beliefs. Methods: The study population included 180 students of Sanandaj universities, Sanandaj City, Iran who were selected with convenience sampling method (100 left-brained males, 6 left-brained females, 56 both le...