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contravariant components

См. также в других словарях:

  • Covariance and contravariance of vectors — For other uses of covariant or contravariant , see covariance and contravariance. In multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain geometric or physical entities… …   Wikipedia

  • Curvilinear coordinates — Curvilinear, affine, and Cartesian coordinates in two dimensional space Curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian… …   Wikipedia

  • Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… …   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

  • Classical treatment of tensors — A tensor is a generalization of the concepts of vectors and matrices. Tensors allow one to express physical laws in a form that applies to any coordinate system. For this reason, they are used extensively in continuum mechanics and the theory of… …   Wikipedia

  • Frame fields in general relativity — In general relativity, a frame field (also called a tetrad or vierbein) is a set of four orthonormal vector fields, one timelike and three spacelike, defined on a Lorentzian manifold that is physically interpreted as a model of spacetime. The… …   Wikipedia

  • Newtonian dynamics — In physics, the Newtonian dynamics is understood as the dynamics of a particle or a small body according to Newton s laws of motion. Contents 1 Mathematical generalizations 2 Newton s second law in a multidimensional space 3 Euclidean structure …   Wikipedia

  • Hamilton–Jacobi equation — In physics, the Hamilton–Jacobi equation (HJE) is a reformulation of classical mechanics and, thus, equivalent to other formulations such as Newton s laws of motion, Lagrangian mechanics and Hamiltonian mechanics. The Hamilton–Jacobi equation is… …   Wikipedia

  • Dynamic fluid film equations — An example of dynamic fluid films. Fluid films, such as soap films, are commonly encountered in everyday experience. A soap film can be formed by dipping a closed contour wire into a soapy solution as in the figure on the right. Alternatively, a… …   Wikipedia

  • Euclidean vector — This article is about the vectors mainly used in physics and engineering to represent directed quantities. For mathematical vectors in general, see Vector (mathematics and physics). For other uses, see vector. Illustration of a vector …   Wikipedia

  • Covariant transformation — See also Covariance and contravariance of vectors In physics, a covariant transformation is a rule (specified below), that describes how certain physical entities change under a change of coordinate system. In particular the term is used for… …   Wikipedia

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