where [mathematical expression not reproducible] is the symmetric traceless part of the l-fold tensor
product of n with itself (see Appendix A, Definition 4 and Section 3).
sup], Conventional magnetic resonance imaging (MRI) and diffusion tensor
imaging (DTI) can noninvasively reveal macroscopic and microscopic changes in muscle fibers, respectively.
1 The background field and the gravitational field tensor
factorization technology converts graph-structured data to a uniform expression
In this project, we will develop a framework for the systematic study of strongly correlated systems using exact wavefunctions based on Tensor
The likelihood of abnormal diffusion tensor
MRI results was correlated, albeit weakly, with the length of the player's NFL career, but not with the number of concussions sustained.
The definition of tensor
for an object D of V and an object X of C, is an object D [R] X of C together with a map [i.
There are two distinct definitions of a T-tensor
from a Lagrangian: (i) the so-called "canonical" or "Noether" tensor
, say [tau], is a byproduct of the Euler-Lagrange equations and (ii) the "Hilbert tensor
," say T, is the symmetric tensor
obtained as the derivative of the Lagrangian density with respect to variations of the (space-time) metric.
Therefore, in this work, we propose an improved tensor
based multiclass multimodal analysis scheme especially for hybrid BCI, in which EEG signals of the hybrid tasks are denoted as multiway tensors
, a nonredundant rank one tensor
decomposition model is proposed to obtain nonredundant tensor
components, a weighted Fisher criterion is designed to select multimodal discriminative patterns among hybrid tasks without ignoring the interactive effects of simultaneous tasks, and support vector machine (SVM) is extended to multiclass classification for hybrid tasks.
g]) is called Ricci recurrent if its Ricci tensor
Keywords: Lattice Discrete Element Method, Damage evaluation, Acoustic Emission, Moment Tensor
Concretely, the metric tensor
, the determinant of metric matrix field, the Christoffel symbols, and Riemann tensors
on the 3D domain are expressed by those on the 2D surface, which are featured by the asymptotic expressions with respect to the variable in the direction of thickness of the shell.
Otherwise we will have the curvature in the spacetimes and will get some gravitating source in the spacetimes other than the energy momentum tensor
Those models use the differential equations based on the conformation tensor
5] are scalar constants related to the components of stiffness tensor
of unidirectional composite.