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
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.
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  if [nabla]R = 0, where R is the Riemannian curvature tensor
In a previous paper , 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.