tensor rank

  • 71Littelmann path model — In mathematics, the Littelmann path model is a combinatorial device due to Peter Littelmann for computing multiplicities without overcounting in the representation theory of symmetrisable Kac Moody algebras. Its most important application is to… …

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  • 72Lagrangian — This article is about Lagrange mechanics. For other uses, see Lagrangian (disambiguation). The Lagrangian, L, of a dynamical system is a function that summarizes the dynamics of the system. It is named after Joseph Louis Lagrange. The concept of… …

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  • 73Einstein field equations — General relativity Introduction Mathematical formulation Resources Fundamental concepts …

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  • 74Exact solutions in general relativity — In general relativity, an exact solution is a Lorentzian manifold equipped with certain tensor fields which are taken to model states of ordinary matter, such as a fluid, or classical nongravitational fields such as the electromagnetic field.… …

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  • 75Congruence (general relativity) — In general relativity, a congruence (more properly, a congruence of curves) is the set of integral curves of a (nowhere vanishing) vector field in a four dimensional Lorentzian manifold which is interpreted physically as a model of spacetime.… …

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  • 76Von Neumann algebra — In mathematics, a von Neumann algebra or W* algebra is a * algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. They were originally introduced by John von Neumann,… …

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  • 77Invertible sheaf — In mathematics, an invertible sheaf is a coherent sheaf S on a ringed space X , for which there is an inverse T with respect to tensor product of O X modules. That is, we have : S otimes; T isomorphic to O X , which acts as identity element for… …

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  • 78Brans-Dicke theory — In theoretical physics, the Brans Dicke theory of gravitation (sometimes called the Jordan Brans Dicke theory) is a theoretical framework to explain gravitation. It is a well known competitor of Einstein s more popular theory of general… …

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  • 79Petrov classification — In differential geometry and theoretical physics, the Petrov classification describes the possible algebraic symmetries of the Weyl tensor at each event in a Lorentzian manifold.It is most often applied in studying exact solutions of Einstein s… …

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  • 80Principal component analysis — PCA of a multivariate Gaussian distribution centered at (1,3) with a standard deviation of 3 in roughly the (0.878, 0.478) direction and of 1 in the orthogonal direction. The vectors shown are the eigenvectors of the covariance matrix scaled by… …

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