tensor analysis


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Related to tensor analysis: Tensor calculus

tensor analysis

[′ten·sər ə‚nal·ə·səs]
(mathematics)
The abstract study of mathematical objects having components which express properties similar to those of a geometric tensor; this study is fundamental to Riemannian geometry and the structure of Euclidean spaces. Also known as tensor calculus.
References in periodicals archive ?
Huang, Tensor Analysis and Its Applications, Chinese Scientific Press, 2004 (Chinese).
It is noteworthy that using moment tensor analysis it is possible get the orientation and displacement vector of the crack.
The degree and direction of molecular orientation reflected in each scattering pattern may be quantified from the second moment tensor analysis.
Bayesian Tensor Analysis // IEEE International Joint Conference on Neural Networks (IJCNN).
1991), "Simplified Moment Tensor Analysis and Unified Decomposition of AE Source," J.
Material is arranged in sections beginning with vector and tensor algebra, vector and tensor analysis, and kinematics, and ending with large-deformation theory of isotropic plastic solids, and theory of single crystals undergoing small and large deformations.
Source Characterization: Many methods are practiced here, including combined AE parameters, attenuation-corrected signal amplitude, signal frequency, waveform analysis and moment tensor analysis.
The text is for senior undergraduate and graduate students and scientists who are interested in quantitative seismology and are familiar with linear algebra, differential and integral calculus, vector calculus, tensor analysis, and ordinary and partial differential equations.
Topics include special relativity in the formalism of Minkowski's four-dimensional space-time, the principle of equivalence, Riemannian geometry and tensor analysis, Einstein's field equation, and cosmology.
The contravariant metric tensor for the gravitational field, obtained using the Quotient Theorem of tensor analysis [15] is given as