tensor rank

  • 111Homogeneous polynomial — In mathematics, a homogeneous polynomial is a polynomial whose terms are monomials all having the same total degree; or are elements of the same dimension. For example, x^5 + 2 x^3 y^2 + 9 x^1 y^4 is a homogeneous polynomial of degree 5, in two… …

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  • 112List of linear algebra topics — This is a list of linear algebra topics. See also list of matrices glossary of tensor theory. Contents 1 Linear equations 2 Matrices 3 Matrix decompositions 4 …

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  • 113Connection (vector bundle) — This article is about connections on vector bundles. See connection (mathematics) for other types of connections in mathematics. In mathematics, a connection on a fiber bundle is a device that defines a notion of parallel transport on the bundle; …

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  • 114Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …

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  • 115Laplacian operators in differential geometry — In differential geometry there are a number of second order, linear, elliptic differential operators bearing the name Laplacian. This article provides an overview of some of them. Connection Laplacian The connection Laplacian is a differential… …

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  • 116Del — For other uses, see Del (disambiguation). ∇ Del operator, represented by the nabla symbol In vector calculus, del is a vector differential operator, usually represented by the nabla symbol . When applied to a function defined on a one dimensional …

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  • 117Magnetic susceptibility — In electromagnetism, the magnetic susceptibility χm (latin: susceptibilis “receptiveness”) is a dimensionless proportionality constant that indicates the degree of magnetization of a material in response to an applied magnetic field. A related… …

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  • 118List 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… …

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  • 119Curvature invariant — In Riemannian geometry and pseudo Riemannian geometry, curvature invariants are scalar quantities constructed from tensors that represent curvature. These tensors are usually the Riemann tensor, the Weyl tensor, the Ricci tensor and tensors… …

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  • 120Feynman diagram — The Wick s expansion of the integrand gives (among others) the following termNarpsi(x)gamma^mupsi(x)arpsi(x )gamma^ upsi(x )underline{A mu(x)A u(x )};,whereunderline{A mu(x)A u(x )}=int{d^4pover(2pi)^4}{ig {mu u}over k^2+i0}e^{ k(x x )}is the… …

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