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vector expansion

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  • Comparison of vector algebra and geometric algebra — Vector algebra and geometric algebra are alternative approaches to providing additional algebraic structures on vector spaces, with geometric interpretations, particularly vector fields in multivariable calculus and applications in mathematical… …   Wikipedia

  • Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

  • Vector spherical harmonics — In mathematics, vector spherical harmonics (VSH) are an extension of the scalar spherical harmonics for the use with vector fields.DefinitionSeveral conventions have been used to define the VSH [R.G. Barrera, G.A. Estévez and J. Giraldo, Vector… …   Wikipedia

  • Vector propio y valor propio — Fig. 1. En esta transformación de la Mona Lisa, la imagen se ha deformado de tal forma que su eje vertical no ha cambiado. (nota: se han recortado las esquinas en la imagen de la derecha) …   Wikipedia Español

  • Multipole expansion — A multipole expansion is a mathematical series representing a function that depends on angles usually the two angles on a sphere. These series are useful because they can often be truncated, meaning that only the first few terms need to be… …   Wikipedia

  • Plane wave expansion method — (PWE) refers to a computational technique in Electromagnetics,solve the Maxwell s equations by formulating an Eigenvalue problem out of it. This method isa popular among Photonic Crystal community, as a method of solving for the band structure… …   Wikipedia

  • Magnus expansion — In mathematics and physics, the Magnus expansion, named after Wilhelm Magnus (1907–1990), provides an exponential representation of the solution of a first order linear homogeneous differential equation for a linear operator. In particular it… …   Wikipedia

  • 1/N expansion — In quantum field theory and statistical mechanics, the 1/N expansion (also known as the large N expansion) is a particular perturbative analysis of quantum field theories with an internal symmetry group such as SO(N) or SU(N). It consists in… …   Wikipedia

  • Ciphertext expansion — In cryptography, the term ciphertext expansion refers to the length increase of a message when it is encrypted. Many modern cryptosystems cause some degree of expansion during the encryption process, for instance when the resulting ciphertext… …   Wikipedia

  • Geometric algebra — In mathematical physics, a geometric algebra is a multilinear algebra described technically as a Clifford algebra over a real vector space equipped with a non degenerate quadratic form. Informally, a geometric algebra is a Clifford algebra that… …   Wikipedia

  • Monochromatic electromagnetic plane wave — In general relativity, the monochromatic electromagnetic plane wave spacetime is the analog of the monochromatic plane waves known from Maxwell s theory. The precise definition of the solution is a bit complicated, but very instructive. Any exact …   Wikipedia

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