exterior algebra oor Spaans
exterior algebra
Vertalings in die woordeboek Engels - Spaans
producto exterior
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algebraic construction used in Euclidean geometry
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construcción algebraica usada en la geometría euclideana
Geskatte vertalings
Vertoon algoritmies gegenereerde vertalings
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For more details, see exterior algebra.
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The tensor algebra and the exterior algebra are further examples of coalgebras.
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Likewise the symmetric algebra and exterior algebra are free symmetric and anti-symmetric algebras on a vector space.
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Another application of inner product spaces is the Hodge star which provides a correspondence between the elements of the exterior algebra.
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In 1878, William Kingdon Clifford joined this exterior algebra to William Rowan Hamilton's quaternions by replacing Grassmann's rule epep = 0 by the rule epep = 1.
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A. N. Whitehead's first monograph, the Universal Algebra (1898), included the first systematic exposition in English of the theory of extension and the exterior algebra.
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This project has used techniques from exterior algebra, algebraic geometry and optimization to find critical frequencies such as poles and zeros under compensation (system transformation) for linear systems.
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In mathematical physics, a Grassmann number, named after Hermann Grassmann (also called an anticommuting number or supernumber), is an element of the exterior algebra over the complex numbers.
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The cohomology ring H•(Tn, Z) can be identified with the exterior algebra over the Z-module Zn whose generators are the duals of the n nontrivial cycles.
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The Hodge star operator on a vector space V with an inner product is a linear operator on the exterior algebra of V, mapping k-vectors to (n − k)-vectors where n = dim V, for 0 ≤ k ≤ n.
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The variational bicomplex is a cochain complex of the differential graded algebra of exterior forms on jet manifolds of sections of a fiber bundle.
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Mathematically, these matrices can be interpreted as the linear operators corresponding to left exterior multiplication on the Grassmann algebra itself.
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A Lagrangian density L (or, simply, a Lagrangian) of order r is defined as an n-form, n = dim X, on the r-order jet manifold JrY of Y. A Lagrangian L can be introduced as an element of the variational bicomplex of the differential graded algebra O∗∞(Y) of exterior forms on jet manifolds of Y → X. The coboundary operator of this bicomplex contains the variational operator δ which, acting on L, defines the associated Euler–Lagrange operator δL.
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