In this paper, we study the tensor commutativity degree of pair of finite groups. Erdos introduced the relative commutativity degree and studied its properties. Then, Mr. Niroomand introduced the tensor relative commutativity degree, calculated tensor relative degree for some groups, and studied its properties. Also, he explained its relation with relative commutativity degree. In this paper, w...

We investigate the singlet g (0) T and isovector g (3) T tensor charges of the nucleon, which are deeply related to the first moment of the leading twist transversity quark distribution h1(x), in the chiral quark-soliton model. With rotational O(1/Nc) corrections taken into account, we obtain g (0) T = 0.69 and g (3) T = 1.45 at a low normalization poin of several hundreds MeV. Within the same ...

In this article, we study the magnetic moment of the pentaquark Θ(1540) as diquark-diquark-antiquark state with the QCD sum rules approach in the external electromagnetic field. Due to the special structure of the interpolating current, only the interactions of the s quark with the external electromagnetic field have contributions to the tensor structure σμν p̂+ p̂σμν . The numerical results indi...

The dynamics of Vlasov kinetic moments is shown to be Lie-Poisson on the dual Lie algebra of symmetric contravariant tensor fields. The corresponding Lie bracket is identified with the symmetric Schouten bracket and the moment Lie algebra is related with a bundle of bosonic Fock spaces, where creation and annihilation operators are used to construct the cold plasma closure. Kinetic moments are ...

A rotating star’s oblateness creates a deformation in the gravitational field outside the star, which is measured by the quadrupole-moment tensor. We consider the effect of the quadrupole moment on the orbital motion and rate of inspiral of a compact binary system, composed of neutron stars and/or black holes. We find that in the case of circular orbits, the quadrupole-monopole interaction affe...

Exclusive π electroproduction and related processes are suggested to investigate the chiral odd transversity distributions of quarks in the transversely polarized nucleon, h1(x), and its first moment, the tensor charge. The connection between a description based on partonic degrees of freedom, given in terms of generalized parton distributions, and Regge phenomenology is explored.

TARCER is an implementation of the recurrence algorithm of O.V. Tarasov for the reduction of two-loop propagator integrals with arbitrary masses to a small set of basis integrals. The tensor integral reduction scheme is adapted to moment integrals emerging in operator matrix element calculations. 1 E-mail: [email protected] 2 E-mail: [email protected]− leipzig.de Preprint submitted to Elsevier Prepr...

We consider parabolic stochastic partial differential equations driven by multiplicative Lévy noise of an affine type. For the second moment of the mild solution, we derive a well-posed deterministic space-time variational problem posed on tensor product spaces, which subsequently leads to a deterministic equation for the covariance function.

We consider moment matching techniques for estimation in latent Dirichlet allocation (LDA). By drawing explicit links between LDA and discrete versions of independent component analysis (ICA), we first derive a new set of cumulantbased tensors, with an improved sample complexity. Moreover, we reuse standard ICA techniques such as joint diagonalization of tensors to improve over existing methods...

We consider the inverse problem of estimating the parameters describing a seismic source, based on time-dependent ground motion recordings at a number of receiver stations. The source is modeled as a point moment tensor forcing, characterized by its location, moment tensor components, start time, and frequency parameter in the time function. In total, there are 11 unknown parameters. We use a n...