orthogonal tensor

orthogonal tensor
мат. ортогональный тензор

Большой англо-русский и русско-английский словарь. 2001.

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  • Orthogonal coordinates — In mathematics, orthogonal coordinates are defined as a set of d coordinates q = (q1, q2, ..., qd) in which the coordinate surfaces all meet at right angles (note: superscripts are indices, not exponents). A coordinate surface for a particular… …   Wikipedia

  • Tensor — For other uses, see Tensor (disambiguation). Note that in common usage, the term tensor is also used to refer to a tensor field. Stress, a second order tensor. The tensor s components, in a three dimensional Cartesian coordinate system, form the… …   Wikipedia

  • Weyl tensor — In differential geometry, the Weyl curvature tensor, named after Hermann Weyl, is a measure of the curvature of spacetime or, more generally, a pseudo Riemannian manifold. Like the Riemann curvature tensor, the Weyl tensor expresses the tidal… …   Wikipedia

  • Glossary of tensor theory — This is a glossary of tensor theory. For expositions of tensor theory from different points of view, see:* Tensor * Classical treatment of tensors * Tensor (intrinsic definition) * Intermediate treatment of tensors * Application of tensor theory… …   Wikipedia

  • Scalar-vector-tensor decomposition — In cosmological perturbation theory, the scalar vector tensor decomposition is a decomposition of the most general linearized s of the Friedmann Robertson Walker metric into components according to their transformations under spatial rotations.… …   Wikipedia

  • Symmetric tensor — In mathematics, a symmetric tensor is a tensor that is invariant under a permutation of its vector arguments. Symmetric tensors of rank two are sometimes called quadratic forms. In more abstract terms, symmetric tensors of general rank are… …   Wikipedia

  • Orientation Tensor — / Eigenvectors Eigenvalues In geology, especially in the study of glacial till, eigenvectors and eigenvalues are used as a method by which a mass of information of a clast fabric s constituents orientation and dip can be summarized in a 3 D space …   Wikipedia

  • Angular velocity tensor — In physics, the angular velocity tensor is defined as a matrix T such that::oldsymbolomega(t) imes mathbf{r}(t) = T(t) mathbf{r}(t) It allows us to express the cross product:oldsymbolomega(t) imes mathbf{r}(t) as a matrix multiplication. It is …   Wikipedia

  • Orientation tensor — In geology, especially in the study of glacial till, eigenvectors and eigenvalues are used as a method by which a mass of information of a clast fabric s constituents orientation and dip can be summarized in a 3 D space by six numbers. In the… …   Wikipedia

  • Finite strain theory — Continuum mechanics …   Wikipedia

  • Cauchy elastic material — A Cauchy elastic material is one in which the Cauchy stress at each material point is determined only by the current state of deformation (with respect to an arbitrary reference configuration). R. W. Ogden, 1984, Non linear Elastic Deformations,… …   Wikipedia


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