Based on Standard Literature Library of CNKI, opportunities for technical standards development are identified. The initial keywords standard determined based LDA model, whose similar further confirmed by Word2Vec, and then combining model with Word2Vec the representative manufacturing industry determined. According to keywords, core identified using center degree “M-core” method. dimensions fr...

let and be a sequence with non-negative entries. if , denote by the infimum of those satisfying the following inequality: whenever . the purpose of this paper is to give an upper bound for the norm of operator t on weighted sequence spaces d(w,p) and lp(w) and also e(w,?). we considered this problem for certain matrix operators such as norlund, weighted mean, ceasaro and copson matrices. th...

In this paper we show how to compute, via semideenite programming, ellipsoids of conndence for linear equations with structured (unknown-but-bounded) perturbations. Our results are exact in the \unstructured" perturbations case, enabling us to recover in particular the classical case when the perturbation is additive. The approach can be used for example in the identii-cation of structured, dyn...

We present and study two families of polynomials with coefficients in the center of the universal enveloping algebra. These polynomials are analogues of a determinant and a characteristic polynomial of a certain non-commutative matrix, labeled by irreducible representations of gl n (C). The matrix is an image of the universal R-matrix of a Yangian of gl n (C) under certain representation. We co...

Cell motility requires the temporal and spatial coordination of the actin cytoskeleton with cell-matrix adhesions. Since their discovery more than 20 years ago, integrins have been at the center of cell-matrix adhesion research. Integrin-mediated adhesions link the actin network to the extracellular matrix and are commonly observed as cells migrate across rigid two-dimensional substrates. Howev...

We establish several convexity results which are concerned with nonconvex quadratic matrix (QM) functions: strong duality of quadratic matrix programming problems, convexity of the image of mappings comprised of several QM functions and the existence of a corresponding SLemma. As a consequence of our results, we prove that a class of quadratic problems involving several functions with similar m...

We propose a method of analysis spontaneous emission quantum emitter (an atom, luminescence center, dot) inside or in vicinity cylinder. At the focus our are analytical expressions for scattering matrix cylindrical nanoobject. approach to electromagnetic field quantization based eigenvalues and eigenvectors matrix. The is applicable calculation rates angular dependences radiation set different ...

Reopening a cold case, Inspector Echelon, high-ranking in the Row Operations Center, is searching for lost linear map, known to be nilpotent. When partially decomposed matrix unearthed, he reconstructs its reduced form, finding it singular. But were origins nilpotent?