in this paper we introduce and study besselian $g$-frames. we show that the kernel of associated synthesis operator for a besselian $g$-frame is finite dimensional. we also introduce $alpha$-dual of a $g$-frame and we get some results when we use the hilbert-schmidt norm for the members of a $g$-frame in a finite dimensional hilbert space.

The counseling profession has historically searched for characteristics, traits, behaviors, and other variables that contribute to successful helping relationships. One characteristic that emerges in contemporary literature and research relates to the notion that successful counselors select their helping behaviors and choose specific strategies with a clear purpose and direction. This characte...

The Gram-Schmidt Process (GSP) is used to convert a non-orthogonal basis (a set of linearly independent vectors, matrices, etc) into an orthonormal basis (a set of orthogonal, unit-length vectors, bi or tri dimensional matrices). The process consists of taking each array and then subtracting the projections in common with the previous arrays. This paper introduces an enhanced version of the Gra...

This paper determines when the Krull-Schmidt property holds for all finitely generated modules and for maximal Cohen-Macaulay modules over one-dimensional local rings with finite Cohen-Macaulay type. We classify all maximal CohenMacaulay modules over these rings, beginning with the complete rings where the Krull-Schmidt property is known to hold. We are then able to determine when the Krull-Sch...

Numerous empirical correlations exist for the estimation of crude oil viscosities. Most of these correlations are not based on the experimental and field data from Iranian geological zone. In this study several well-known empirical correlations including Beal, Beggs, Glasso, Labedi, Schmidt, Alikhan and Naseri were optimized and refitted with the Iranian oil field data. The results showed that ...

Data Resource Profile: The Danish National Prescription Registry Anton Pottegård,* Sigrun Alba Johannesdottir Schmidt, Helle Wallach-Kildemoes, Henrik Toft Sørensen, Jesper Hallas and Morten Schmidt Clinical Pharmacology and Pharmacy, University of Southern Denmark, Odense, Denmark, Department of Clinical Epidemiology, Aarhus University Hospital, Aarhus, Denmark, Social and Clinical Pharmacy, U...

Randomly correlated ensembles of two quantum systems are investigated, including average entanglement entropies and probability distributions of Schmidt-decomposition coefficients. Maximal correlation is guaranteed in the limit as one system becomes infinite-dimensional. The reduced density operator distributions are compared with distributions induced via the Bures and Hilbert-Schmidt metrics....

We identify a general criterion for detecting entanglement of pure bipartite quantum states describing a system of two identical particles. Such a criterion is based both on the consideration of the Slater-Schmidt number of the fermionic and bosonic analog of the Schmidt decomposition and on the evaluation of the von Neumann entropy of the one-particle reduced statistical operators.

The Schmidt measure was introduced by Eisert and Briegel for quantifying the degree of entanglement of multipartite quantum systems [Phys. Rev. A 64, 022306 (2001)]. Although generally intractable, it turns out that there is a bound on the Schmidt measure for two-colorable graph states [Phys. Rev. A 69, 062311 (2004)]. For these states, the Schmidt measure is in fact directly related to the num...

This essay looks at the historical significance of five APS classic papers that are freely available online: Murdaugh HV Jr, Schmidt-Nielsen B, Doyle EM, and O’Dell R. Renal tubular regulation of urea excretion in man. J Appl Physiol 13: 263–268, 1958. (http://jap.physiology.org/cgi/reprint/13/2/263) Schmidt-Nielsen B. Renal tubular excretion of urea in kangaroo rats. Am J Physiol 170: 45–56, 1...