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skew-symmetric tensor

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  • 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

  • Torsion tensor — In differential geometry, the notion of torsion is a manner of characterizing a twist or screw of a moving frame around a curve. The torsion of a curve, as it appears in the Frenet Serret formulas, for instance, quantifies the twist of a curve… …   Wikipedia

  • Cross product — This article is about the cross product of two vectors in three dimensional Euclidean space. For other uses, see Cross product (disambiguation). In mathematics, the cross product, vector product, or Gibbs vector product is a binary operation on… …   Wikipedia

  • Nonsymmetric gravitational theory — In theoretical physics, the nonsymmetric gravitational theory[1] (NGT) of John Moffat is a classical theory of gravitation which tries to explain the observation of the flat rotation curves of galaxies. In general relativity, the gravitational… …   Wikipedia

  • Saint-Venant's compatibility condition — In the mathematical theory of elasticity the strain varepsilon is related to a displacement field u by:varepsilon {ij} = frac{1}{2} left( frac{partial u i}{partial x j} + frac{partial u j}{partial x i} ight) Saint Venant derived the compatibility …   Wikipedia

  • Angular velocity — Do not confuse with angular frequency The unit for angular velocity is rad/s.In physics, the angular velocity is a vector quantity (more precisely, a pseudovector) which specifies the angular speed, and axis about which an object is rotating. The …   Wikipedia

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

  • Exterior algebra — In mathematics, the exterior product or wedge product of vectors is an algebraic construction generalizing certain features of the cross product to higher dimensions. Like the cross product, and the scalar triple product, the exterior product of… …   Wikipedia

  • Bilinear form — In mathematics, a bilinear form on a vector space V is a bilinear mapping V × V → F , where F is the field of scalars. That is, a bilinear form is a function B : V × V → F which is linear in each argument separately::egin{array}{l} ext{1. }B(u + …   Wikipedia

  • Pseudoscalar — In physics, a pseudoscalar is a quantity that behaves like a scalar, except that it changes sign under a parity inversion such as improper rotations while true scalar does not.The prototypical example of a pseudoscalar is the scalar triple… …   Wikipedia

  • Mathematics of general relativity — For a generally accessible and less technical introduction to the topic, see Introduction to mathematics of general relativity. General relativity Introduction Mathematical formulation Resources …   Wikipedia

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