Let k be a field of characteristic two. We prove that monic polynomial f∈k[X] degree n≥1 is the minimal/characteristic symmetric matrix with entries in if and only it not product pairwise distinct inseparable irreducible polynomials. In this case, we f minimal size n. also any element α∈kalg eigenvalue n or n+1, first case happening α separable.

Background and aims: Chronic kidney disease (CKD) is a public health challenge worldwide, with adverse consequences of kidney failure, cardiovascular disease (CVD), and premature death. Chronic kidney disease leads to the end stage of renal disease (ESRD), if late/not diagnosed. Competing risk modeling is a major issue in Epidemiology research. In Epidemiology study, sometimes inappropriate met...

The growth rate for infants and young children manifests the significant differences between age, sex, regional, and seasonal distributions. The growth rate for infants and young children is a complex process that depends on interaction of the genetic and environmental factors. All genetic and environmental factors jointly contribute to the growth rate for infants and young children, for exampl...

foot-and-mouth disease (fmd) is a major cause of endemic outbreaks in livestock in iran. in this study, clinical field samples of foot-and-mouth disease virus were collected from an outbreak in khorasan razavi province during april and august of 2010, and subjected to indirect sandwich elisa and rt-pcr. the viral serotype circulating during the period was confirmed to be type o. the virus was t...