tensor of high rank

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• Structure tensor — Structure tensors (or second moment matrices) are matrix representations of partial derivatives. In the field of image processing and computer vision, they are typically used to represent gradients, edges or similar information. Structure tensors …   Wikipedia

• Scalar-tensor theory — Scalar tensor theories are theories that include a scalar field as well as a tensor field to represent an interaction, especially the gravitational one. Tensor fields and field theory Modern physics tries to derive all physical theories from as… …   Wikipedia

• Matrix calculus — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

• Feynman 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… …   Wikipedia

• Magnetic 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… …   Wikipedia

• Diffusion MRI — Diagnostics DTI Color Map MeSH D038524 Diffusion MRI is a mag …   Wikipedia

• Multilinear subspace learning — (MSL) aims to learn a specific small part of a large space of multidimensional objects having a particular desired property. It is a dimensionality reduction approach for finding a low dimensional representation with certain preferred… …   Wikipedia

• solids, mechanics of — ▪ physics Introduction       science concerned with the stressing (stress), deformation (deformation and flow), and failure of solid materials and structures.       What, then, is a solid? Any material, fluid or solid, can support normal forces.… …   Universalium

• Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …   Wikipedia

• Piezoelectricity — is the ability of some materials (notably crystals and certain ceramics, including bone) to generate an electric potentialPrinciples of Instrumental Analysis. 6th Edition, 2007. Skoog, Holler, and Crouch. Chapter 1, Sec. 1C 4, Pg. 9.] in response …   Wikipedia

• Introduction to mathematics of general relativity — An understanding of calculus and differential equations is necessary for the understanding of nonrelativistic physics. In order to understand special relativity one also needs an understanding of tensor calculus. To understand the general theory… …   Wikipedia