differential form

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differential form

[‚dif·ə′ren·chəl ′fȯrm]
(mathematics)
A homogeneous polynomial in differentials.
References in periodicals archive ?
Groups 2 and 3 then filled out semantic differential forms to determine the valences of the D stimuli.
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.
For polynomial/analytic equations, the singular locus is that of failure of the manifold structure of the solution space and can be described in terms of differential forms.
Other topics include recent developments and open problems in linear series, invariants of hypersurfaces and logarithmic differential forms, lines crossing a tetrahedron and the Bloch group, some degenerations of G2 and Calabi-Yau varieties, and Shur function expansions of Thom polynomials.
and Barbara Burke Hubbard (writer) provide a fourth edition of their textbook on vector calculus, linear algebra, and differential forms.
G] of stable principal G-bundles over a smooth projective variety X of dimension n, defined over an algebraically closed field k of characteristic 0, and we shall describe a natural procedure which leads to the construction of closed differential forms on [M.
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.
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.
The mathematicians propose a global classification of curves on the symplectic plane, cobordism invariants of fold maps, an index of quadratic differential forms, and a residue theoretical approach to intersection theory.

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