Results 51 to 60 of about 250,497 (280)
Interpolation on Real Algebraic Curves to Polynomial Data [PDF]
Dolomites Research Notes on Approximation, 2013 We discuss a polynomial interpolation problem where the data are of the form of a set of algebraic curves in R^2 on each of which is prescribed a polynomial.
Len Bos, Indy Lagu
doaj
A Sheaf Model of the Algebraic Closure [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 In constructive algebra one cannot in general decide the irreducibility of a polynomial over a field K. This poses some problems to showing the existence of the algebraic closure of K.
Bassel Mannaa, Thierry Coquand
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Algebraic Yuzvinski Formula [PDF]
, 2013 In 1965 Adler, Konheim and McAndrew defined the topological entropy for continuous self-maps of compact spaces. Topological entropy is very well-understood for endomorphisms of compact Abelian groups. A fundamental result in this context is the so-called
Anna Giordano, Bruno, Simone Virili
core
AIChE Journal, EarlyView.ABSTRACT Hybrid modeling combines first‐principles equations with a data‐driven subcomponent. Training for the data‐driven part is sensitive to measurement noise when training targets are constructed using pointwise time derivatives. Beyond differentiation errors, hybrid models involve solving an inverse problem to estimate the data‐driven term, which ...
Hangjun Cho +4 more
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Polynomial differential systems with explicit non-algebraic limit cycles
Electronic Journal of Differential Equations, 2012 Up to now all the examples of polynomial differential systems for which non-algebraic limit cycles are known explicitly have degree at most 5. Here we show that already there are polynomial differential systems of degree at least exhibiting explicit ...
Rebiha Benterki, Jaume Llibre
doaj
About the Algebraic Yuzvinski Formula
Topological Algebra and its Applications, 2015 The Algebraic Yuzvinski Formula expresses the algebraic entropy of an endomorphism of a finitedimensional rational vector space as the Mahler measure of its characteristic polynomial.
Bruno Anna Giordano, Virili Simone
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The Differential Counting Polynomial [PDF]
, 2015 The aim of this paper is a quantitative analysis of the solution set of a system of polynomial nonlinear differential equations, both in the ordinary and partial case.
Lange-Hegermann, Markus
core
Stability and Control of Power Systems using Vector Lyapunov Functions and Sum-of-Squares Methods
, 2015 Recently sum-of-squares (SOS) based methods have been used for the stability analysis and control synthesis of polynomial dynamical systems. This analysis framework was also extended to non-polynomial dynamical systems, including power systems, using an ...
Anghel, Marian, Kundu, Soumya
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Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras
Science China Mathematics, 2022 We mainly study the growth and Gelfand-Kirillov dimension (GK-dimension) of generalized Weyl algebra (GWA) $A=D(σ,a)$ where $D$ is a polynomial algebra or a Laurent polynomial algebra. Several necessary and sufficient conditions for $\operatorname{GKdim}(A)=\operatorname{GKdim}(D)+1$ are given. In particular, we prove a dichotomy of the GK-dimension of
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The central polynomials for the Grassmann algebra [PDF]
Israel Journal of Mathematics, 2010 Let \(F_1\langle X\rangle\) be the unitary free associative algebra of infinite rank over an infinite field \(F\) of characteristic different from 2. In the paper under review the authors give a complete description of the central polynomials for the infinite-dimensional Grassmann algebra \(G\).
Brandão, Antônio Pereira jun. +3 more
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