We present tracial analogs of the classical results of Curto and Fialkow on moment matrices. A sequence of real numbers indexed by words in non-commuting variables with values invariant under cyclic permutations of the indexes, is called a tracial sequence. We prove that such a sequence can be represented with tracial moments of matrices if its corresponding moment matrix is positive semidefini...

according to the standard of reasonable and ordinary person, negligence consists in doing something which a reasonable and ordinary person would not have done in that situation or omitting something which a reasonable and ordinary person would have done in that situation. in this article, descriptive and normative content of reasonable and ordinary person has been studied; it's ambiguities...

It is shown that the truncated multidimensional moment problem is more general than the full multidimensional moment problem.

This paper presents a novel two-parameter G family of distributions. Relevant statistical properties such as the ordinary moments, incomplete moments and moment generating function are derived. Using common copulas, some new bivariate type families Special attention is devoted to standard exponential base line model. The density extension can be “asymmetric right skewed shape” with no peak, one...

Here, a new method is recommended to characterize continuous distribution class, named the generalized alpha exponent power family of distributions (GAEPFDs). A particular sub-model presented for exemplifying objective. The basic statistical properties, such as ordinary moments, probability weighted mode, quantile, order statistics, entropy measures, and moment generating functions, etc., were ...

Let T be a compact torus and (M,ω) a Hamiltonian T -space. In a previous paper, the authors showed that the T -equivariant K-theory of the manifold M surjects onto the ordinary integral K-theory of the symplectic quotient M//T , under certain technical conditions on the moment map. In this paper, we use equivariant Morse theory to give a method for computing theK-theory of M//T by obtaining an ...

While many intercalated psoralens require a 1.3-mus relaxation time between absorption of the first and second photons for cross-link formation to occur, some psoralens can form cross-links within the lifetime of a 10-ns laser pulse. This effect is largely or completely oxygen independent. Structural, kinetic, and energetic considerations suggest that the 1.3-mus delay may be due to a conformat...