Results 51 to 60 of about 747,819 (103)
ABSTRACT We present a clear, step‐by‐step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan, Kuranishi, and, more recently, Seiler, is neither Lagrangian nor Hamiltonian in nature. Instead, it applies directly to the field equations. We offer a
Lavinia Heisenberg
wiley +1 more source
The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties
Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley +1 more source
A note on relative Gelfand–Fuks cohomology of spheres
Abstract We study the Gelfand–Fuks cohomology of smooth vector fields on Sd$\mathbb {S}^d$ relative to SO(d+1)$\mathrm{SO}(d+1)$ following a method of Haefliger that uses tools from rational homotopy theory. In particular, we show that H∗(BSO(4);R)$H^*(\mathrm{B}\mathrm{SO}(4);\mathbb {R})$ injects into the relative Gelfand–Fuks cohomology which ...
Nils Prigge
wiley +1 more source
On Quasi Convex Functions and Hadamard's Inequality [PDF]
In this paper we establish some inequalities of Hadamard’s type involving Godunova-Levin functions, P-functions, quasi-convex functions, Jquasi- convex functions, Wright-convex functions and Wright-quasi-convex ...
Yang, Gou-Sheng +2 more
core +3 more sources
Convexity in quasi-metric spaces [PDF]
Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
core +1 more source
Monomiality,orthogonal and pseudo orthogonal polynomials
We reconsider some families of orthogonal polynomials, within the framework of the so called monomiality principle. We show that the associated operational formalism allows the framing of the polynomial orthogonality using an algebraic point
RICCI P. E. +3 more
core
A monomiality principle approach to the Gould-Hopper Polynomials
We show how to derive properties of the Gould-Hopper polynomials using operational rules associated with the monomiality ...
NOSCHESE, Silvia
core
The monomiality approach to multi-index polynomials in several variables
The monomiality principle was introduced (see [1] and the references therein) in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials.
Giuseppe Dattoli +5 more
core
Associated Laguerre polynomials: monomiality and bi-orthogonal functions"
We exploit the concepts and the formalism associated with the principle of monomiality to derive the ortogonality properties of the associ-ated Laguerre polynomials.
G. Dattoli +3 more
core
A Linear Algebra approach to monomiality and operational methods [PDF]
We use linear algebraic methods to obtain general results about linear operators on a space of polynomials that we apply to the operators associated with a polynomial sequence by the monomiality property.
Verde-Star, Luis
core

