The conformational

tensor is a micro-structural factor that shows the deformation of polymeric chains during the flow [17, 18].

A drawback of this approach is that the fourth-order

tensor [a.

An n-dimensional

tensor with elements in C can be converted to a binary vector by the function [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.

Supported by our know-how and expertise in the field of

tensor active ingredient, Silab researchers have turned their attention to new molecular structures--sugars--little used as

tensor agents to date, to propose Avena Sativa Extract (ASE), a purified fraction of natural polyoses derived from oats.

This theory has some advantages over the general relativity; the quantities such as christoffel symbols and others become

tensors which otherwise in Riemannian geometry they are not.

Mullen has been poring over the tiny type of upcoming

Tensor ads, looking for possible weaknesses in the robot's technology that he may have written down.

1) are expressed in terms of regular fields defined on the current configuration of the continuum (multifield), namely: the standard displacement vector field, u; the microrotation

tensor field (skew-symmetric), W; and the microdisplacement vector field, d.

The

tensor consists of 3 vectors: a major eigenvector (or principal eigenvector) and 2 minor eigenvectors, with magnitudes being the major eigenvalue and minor eigenvalues, respectively.

This edition has been expanded to include chapters on: integral equations, calculus of variations,

tensor analysis, time series, and partial fractions.

We will follow, however, the original work of Novozhilov, first for the sake of simplicity and, secondly, because it applies to any

tensor.

In 1927, Hitchcock [13, 14] proposed the idea of the polyadic form of a

tensor, that is, expressing a

tensor as a sum of a finite number of rank-one

tensors.

Inspired by above analyses, a dimensionality reduction algorithm called

Tensor Graph-based Linear Discriminant Analysis (TGbLDA) is proposed in the paper.

A Riemannian manifold is called locally symmetric [3] if [nabla]R = 0, where R is the Riemannian curvature

tensor of ([M.

In a previous paper [1], we proposed a natural decomposition of spacetime continuum

tensor fields, based on the continuum mechanical decomposition of

tensors in terms of dilatations and distortions.

The service was launched as a new component of the company's existing Seismic Moment

Tensor Inversion (SMTI) Production Suite, a patent-pending process that helps clients to better understand reservoir processes, optimize completions and improve production from unconventional reservoirs.