We compute the expectation and the two-point correlation of the solution to elliptic boundary value problems with stochastic input data. Besides stochastic loadings, via perturbation theory, our approach covers also elliptic problems on stochastic domains or with stochastic coefficients. The solution’s two-point correlation satisfies a hypo-elliptic boundary value problem on the tensor product ...

We propose a mean field framework in which the charge and the parity symmetries of a single-particle state are broken. We break these symmetries to incorporate the correlation induced by the tensor force into a nuclear mean field model. We perform the chargeand the parity projections before variation and obtain a Hartree-Fock-like equation (chargeand parity-projected Hartree-Fock equation), whi...

Consider the following consistent Sylvester tensor equation[mathscr{X}times_1 A +mathscr{X}times_2 B+mathscr{X}times_3 C=mathscr{D},]where the matrices $A,B, C$ and the tensor $mathscr{D}$ are given and $mathscr{X}$ is the unknown tensor. The current paper concerns with examining a simple and neat framework for accelerating the speed of convergence of the gradient-based iterative algorithm and ...

We present a nonperturbative solution of the rotational diffusion equation for an asymmetric rotor reorienting in a uniaxial liquid crystal, such as a nematic, smectic A or membrane bilayer covering the full range of order parameters from isotropic to complete order for rod-like and plate-like molecules. We obtain explicit expressions for the rotational diffusion matrix elements for a potential...

In this paper, we investigate the use of N–Point correlation functions from material science literature, for medical image segmentation, and introduce a classifier suitable for use with these functions. The N–point correlation functions serve as good estimators of component material distributions and their packing in a multi–phase heterogeneous media. We represent these multi–phase properties w...

Many inflationary theories introduce new scalar, vector, or tensor degrees of freedom that may then affect the generation of primordial density perturbations. Here we show how to search a galaxy (or 21-cm) survey for the imprint of primordial scalar, vector, and tensor fields. These new fields induce local departures to an otherwise statistically isotropic two-point correlation function, or equ...

in the first part of this work, correlation between optical activity and elements of magnetic susceptibility tensor (mst) for five classes of model small molecules containing a single chiral center has been studied using quantum computational techniques at dft-b3lyp level of theory with 6-311g basis set. several molecular properties are used to reduce the mst elements prior to the examination o...

The averaging problem in cosmology is of fundamental importance. When applied to study cosmological evolution, the theory of macroscopic gravity (MG) can be regarded as a long-distance modification of general relativity. In the MG approach to the averaging problem in cosmology, the Einstein field equations on cosmological scales are modified by appropriate gravitational correlation terms. We st...

In the first part of this work, correlation between optical activity and elements of magnetic susceptibility tensor (MST) for five classes of model small molecules containing a single chiral center has been studied using quantum computational techniques at DFT-B3LYP level of theory with 6-311G basis set. Several molecular properties are used to reduce the MST elements prior to the examination o...

‎‎The tensor product is the fundemental ingredient for extending one-dimensional techniques of filtering and compression in signal preprocessing to higher dimensions‎. ‎Woven frames play ‎ a crucial role in signal preprocessing and distributed data processing‎. Motivated by these facts, we have investigated the tensor product of woven frames and presented some of their properties. Besides...