differential form

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differential form

[‚dif·ə′ren·chəl ′fȯrm]
(mathematics)
A homogeneous polynomial in differentials.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Russer, "Two, three, and four-dimensional electromagnetics using differential forms," Turkish Journal of Electrical Engineering and Computer Sciences, Vol.
Our objective is to determine the structure of its graded quotient [gr.sup.m] [k.sub.q,n] := [U.sup.m] [k.sub.q,n] /[U.sup.m+1] [k.sub.q,n] in terms of differential forms of the residue field of K under the assumption that K contains a primitive [p.sup.n] -th root of unity [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (Thm.
Differential forms on Wasserstein space and infinite-dimensional Hamiltonian systems.
He describes local and global duality in the special case of irreducible algebraic varieties of an algebraically closed base field k in terms of differential forms and their residues.
In Section 2 we give a brief exposition of the basic notions from the time scale calculus and an overview of the algebraic framework of differential forms on a homogeneous time scale.
Differential forms thus provide precise assignment rules, according to their degree, for the localization of the degree-of-freedom (DoF) of the lattice field theory: a p-form is always assigned to a p-cell.
Among the topics are functions on Riemann surfaces, complex differential forms, uniformization, and the Riemann-Roch theorem.
This book is an introduction to the fundamentals of differential geometry that covers manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry.
It also addresses background on differential geometry and differential forms and applications in several classical problems in differential geometry, as well as the nonhomogeneous case via moving frames on Riemannian manifolds.
Fortunately, these difficulties can be overcome by using a differential forms inspired discretization.
The author covers smooth manifolds and vector bundles, vector fields and differential equations, tensors, differential forms, the integration of manifolds, metric and symplectic structures, and a wide variety of other related subjects.

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