background: this study aimed to evaluate the perception of lay people regarding determinants of health at global level and factors affecting it. methods: data was collected from international social survey program (issp) and world bank website. multilevel regression analysis was done and lay people’s perception regarding health behavior, environment, poverty and genes as health determinants was...

The purpose of this study is theoretical and methodological substantiation, deepening of conceptual provisions and development of scientific and practical recommendations for the formation of an integrated sector of national security and defense based on the principles of national resilience. The relevance of this study is due to the need to build national resilience to address the main problem...

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‎let $lambda_1,dots,lambda_n$ be positive real numbers such that‎‎$sum_{k=1}^n lambda_k=1$‎. ‎we prove that for‎‎any positive operators $a_1,a_2,cdots‎, ‎a_n$ in semifinite von‎‎neumann algebra $m$ with faithful normal trace that $t(1)

We define the commuting algebra determinant of a finite group action on a finite set, a notion dual to the group determinant of Dedekind. We show that the following combinatorial example is a commuting algebra determinant. Let Bq(n) denote the set of all subspaces of an n-dimensional vector space over Fq. The type of an ordered pair (U, V ) of subspaces, where U, V ∈ Bq(n), is the ordered tripl...

Interpolation theory suggests a generalization of the usual Vandermonde determinant to numbers with multiplicities. We prove a discriminant formula for this generalized Vandermonde determinant and give an application to the Hermite interpolation problem.

A theorem of Mina evaluates the determinant of a matrix with entries D(f(x)). We note the important special case where the matrix entries are evaluated at x = 0 and give a simple proof of it, as well as some special additivity properties that hold in this case, but not in general. Some applications are given also. We then give a short proof of the general case. October 25, 1998 An old theorem o...