New definitions of determinant functionals over the quaternion skew field are given in this paper. The inverse matrix over the quaternion skew field is represented by analogues of the classical adjoint matrix. Cramer rule for right and left quaternionic systems of linear equations have been obtained.

Background and Aim: In the present study, the cerebral surface landmarks in human fresh autopsy specimens were investigated. Methods and Materials/Patients: Totally, 37 fresh adult autopsy human brain specimens from the Rasht Forensic Medicine Center were enrolled. Four specimens were excluded because of some traumatic injuries to cerebral cortex. Demographic information of all cases was obt...

  Background   In respect to abnormalities in thalassemia patients and the effects of TNF_α, IL_6, and NT-pro-BNP on echocardiography findings the study aimed to investigate TNF_α, NT-pro-BNP and IL_6 correlations wit...

We study the oscillatory and nonoscillatory behavior of solutions a class forced impulsive nonlinear neutral differential systems form $$ \left\{\begin{array}{c}{\left(r(t){\left(y(t)+p(t)y\left(t-\tau \right)\right)}^{\prime}\right)}^{\prime }+q(t)G\left(y\left(t-\sigma \right)\right)=f(t),\kern1.75em t\ne {\tau}_k,\kern0.75em k\ \epsilon\ \mathbb{N},\\ {}\Delta \left(r\left({\tau}_k\right){\l...

The aim of this study was to explore the effects of the gender variable in relation to other player and match characteristics on the advantage possessed by left-handed professional tennis players over their right-handed rivals. The data include 16 732 male tennis players and 16 432 female tennis players who played 438 937 and 415 346 matches, respectively, in the period from 1968 to the end of ...

The Schur algorithm and its times-domain counterpart, the fast Cholseky recursions, are some efficient signal processing algorithms which are well adapted to the study of inverse scattering problems. These algorithms use a layer stripping approach to reconstruct a lossless scattering medium described by symmetric two-component wave equations which model the interaction of right and left propaga...