Analysis of an Efficient Homogeneous Tensor Representation of Surfaces for Computer Display

1971 ◽  
pp. 1119-1141 ◽  
Author(s):  
T. M. P. Lee
Keyword(s):  
Tensor Representation

Low-Rank And Sparse Tensor Representation For Multi-View Subspace Clustering

2021 ◽  
Author(s):  
Shuqin Wang ◽  
Yongyong Chen ◽  
Yigang Ce ◽  
Linna Zhang ◽  
Viacheslav Voronin
Keyword(s):  
Subspace Clustering ◽  
Low Rank ◽  
Tensor Representation

Constrained Tensor Representation Learning for Multi-View Semi-Supervised Subspace Clustering

2021 ◽  
pp. 1-1
Author(s):  
Yongqiang Tang ◽  
Yuan Xie ◽  
Chenyang Zhang ◽  
Wensheng Zhang
Keyword(s):  
Subspace Clustering ◽  
Representation Learning ◽  
Tensor Representation

Tensor representation of magnetostriction for all crystal classes

2018 ◽  
Vol 24 (9) ◽  
pp. 2814-2843 ◽  
Author(s):  
Salvatore Federico ◽  
Giancarlo Consolo ◽  
Giovanna Valenti
Keyword(s):  
Fourth Order ◽  
Strain Tensor ◽  
Tensor Representation ◽  
Magnetostrictive Strain

A systematic representation of the fourth-order magnetostriction tensor for all crystal classes is presented, based on the formalism proposed by Walpole ( Proc R Soc Lond Ser A 1984; 391: 149–179). This representation allows the general, unconstrained case, as well as the case in which the magnetostrictive strain is assumed to be isochoric, to be studied. The knowledge of the fourth-order magnetostriction tensor enables the stress-free magnetostrictive strain tensor as well as the scalar strain in a given direction to be calculated.

scholarly journals Thick branes in the scalar–tensor representation of f(R, T) gravity

2021 ◽  
Vol 81 (11) ◽  
Author(s):  
João Luís Rosa ◽  
Matheus A. Marques ◽  
Dionisio Bazeia ◽  
Francisco S. N. Lobo
Keyword(s):  
Scalar Field ◽  
Matter Field ◽  
Energy Tensor ◽  
Tensor Representation ◽  
Observable Universe ◽  
Brane Model ◽  
Gravitational Fields ◽  
Stress Energy ◽  
Tensor Representations ◽  
The Stability

AbstractBraneworld scenarios consider our observable universe as a brane embedded in a five-dimensional bulk. In this work, we consider thick braneworld systems in the recently proposed dynamically equivalent scalar–tensor representation of f(R, T) gravity, where R is the Ricci scalar and T the trace of the stress–energy tensor. In the general $$f\left( R,T\right) $$ f R , T case we consider two different models: a brane model without matter fields where the geometry is supported solely by the gravitational fields, and a second model where matter is described by a scalar field with a potential. The particular cases for which the function $$f\left( R,T\right) $$ f R , T is separable in the forms $$F\left( R\right) +T$$ F R + T and $$R+G\left( T\right) $$ R + G T , which give rise to scalar–tensor representations with a single auxiliary scalar field, are studied separately. The stability of the gravitational sector is investigated and the models are shown to be stable against small perturbations of the metric. Furthermore, we show that in the $$f\left( R,T\right) $$ f R , T model in the presence of an extra matter field, the shape of the graviton zero-mode develops internal structure under appropriate choices of the parameters of the model.

A Self-Deployment Hexapod Model for a Space Application

2008 ◽  
Vol 4 (1) ◽  
Author(s):  
G. Aridon ◽  
A. Al Majid ◽  
L. Blanchard ◽  
D. Rémond ◽  
R. Dufour
Keyword(s):  
Numerical Model ◽  
Dynamic Model ◽  
Strain Energy ◽  
The Self ◽  
Hysteretic Behavior ◽  
Simulation Tool ◽  
Space Application ◽  
Tensor Representation ◽  
Restoring Force ◽  
The Impact

This paper presents a simulation tool for predicting the self-deployment of an on-board deployable hexapod based on the release of strain energy stored in six tape-spring actuators. Their hysteretic behavior is described by six restoring force models, and a formulation of a direct dynamic model developed with a Lagrangian approach is performed. Furthermore, tensor representation is used to condense and simplify the calculation of Lagrangian partial derivatives. The results are compared with a numerical model that implements the recursive Newton–Euler technique. Finally, the impact of base excitations on the hexapod deployment performances is evaluated by using the proposed restoring force models.

One-to-many voice conversion based on tensor representation of speaker space

2011 ◽  
Author(s):  
Daisuke Saito ◽  
Keisuke Yamamoto ◽  
Nobuaki Minematsu ◽  
Keikichi Hirose
Keyword(s):  
Voice Conversion ◽  
Tensor Representation
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