Tensors
... establish a set of equations that governs a physical problem from a macroscopic perspective. The physical variables featuring in a problem are represented by tensor fields, in other words, physical phenomena can be shown mathematically by means of tensors whereas tensor fields indicate how tensor va ...
... establish a set of equations that governs a physical problem from a macroscopic perspective. The physical variables featuring in a problem are represented by tensor fields, in other words, physical phenomena can be shown mathematically by means of tensors whereas tensor fields indicate how tensor va ...
GigaTensor: Scaling Tensor Analysis Up By 100 Times
... computing tensor decompositions, when the tensor is very sparse, are introduced and are implemented in the Tensor Toolbox. However, these methods still operate in main memory and therefore cannot scale to Gigabytes or Terabytes of tensor data. The need for large scale tensor computations is ever inc ...
... computing tensor decompositions, when the tensor is very sparse, are introduced and are implemented in the Tensor Toolbox. However, these methods still operate in main memory and therefore cannot scale to Gigabytes or Terabytes of tensor data. The need for large scale tensor computations is ever inc ...
GigaTensor: Scaling Tensor Analysis Up By 100 Times
... computing tensor decompositions, when the tensor is very sparse, are introduced and are implemented in the Tensor Toolbox. However, these methods still operate in main memory and therefore cannot scale to Gigabytes or Terabytes of tensor data. The need for large scale tensor computations is ever inc ...
... computing tensor decompositions, when the tensor is very sparse, are introduced and are implemented in the Tensor Toolbox. However, these methods still operate in main memory and therefore cannot scale to Gigabytes or Terabytes of tensor data. The need for large scale tensor computations is ever inc ...
Theoretical and computational aspects of implementation of
... the Green-Naghdi rate is implemented. The fundamental results of the mathematical anisotropic material model description is given, detailed discussion of the implementation of the Lie derivative in Abaqus/Explicit program is presented and the numerical results for an adiabatic process for anisotropi ...
... the Green-Naghdi rate is implemented. The fundamental results of the mathematical anisotropic material model description is given, detailed discussion of the implementation of the Lie derivative in Abaqus/Explicit program is presented and the numerical results for an adiabatic process for anisotropi ...
1 Riemannian metric tensor
... summation. Note, that this all is vector-valued. This is the integrability condition for the equation. As discussed, if there exists a C 2 solution, this is necessary. A mildly suprising conclusion is that it is also sufficient. We give two sketches of arguments for this. Consider the vector field ...
... summation. Note, that this all is vector-valued. This is the integrability condition for the equation. As discussed, if there exists a C 2 solution, this is necessary. A mildly suprising conclusion is that it is also sufficient. We give two sketches of arguments for this. Consider the vector field ...
The Tangent Space
... So the task in General Relativity is to compute the metric coefficients g. These coefficients also define the Riemannian curvature of the space. So if the Riemannian curvature can be determined, then by inversion one can find the metric coefficients and thus solve the General Relativity problem. The ...
... So the task in General Relativity is to compute the metric coefficients g. These coefficients also define the Riemannian curvature of the space. So if the Riemannian curvature can be determined, then by inversion one can find the metric coefficients and thus solve the General Relativity problem. The ...