Results 11 to 20 of about 156,857 (312)
Inverses of Rational Functions [PDF]
Acta Cybernetica, 2022 We consider the numerical construction of inverses for a class of rational functions. We propose two inverse algorithms, which can be used to simultaneously identify every zero of a rational function or polynomial. In the first case, we propose a generalization of an inverse algorithm based on our previous work and specify a class of rational functions,
Tamás Dózsa, Dózsa, T
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Learning Rational Functions [PDF]
, 2012 Rational functions are transformations from words to words that can be defined by string transducers. Rational functions are also captured by deterministic string transducers with lookahead. We show for the first time that the class of rational functions can be learned in the limit with polynomial time and data, when represented by string transducers ...
Boiret, Adrien +2 more
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Behaviors Defined by Rational Functions [PDF]
Proceedings of the 45th IEEE Conference on Decision and Control, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jan C. Willems, Yutaka Yamamoto
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Cyclic rational transductions and polynomials of rational functions [PDF]
Theoretical Computer Science, 1990 This paper investigates several properties of rational transductions of finite image, i.e. mappings that map elements of a language \({\mathfrak L}\) to finite sets of elements of another language \({\mathfrak L}_ 1\). When X and Y are disjoint, then a transduction \(\tau\) from X to Y is rational when it is equal to \(\pi_ X^{-1}\circ \cap R\circ \pi_
Terlutte, Alain
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The linear framework II: using graph theory to analyse the transient regime of Markov processes
Frontiers in Cell and Developmental Biology, 2023 The linear framework uses finite, directed graphs with labelled edges to model biomolecular systems. Graph vertices represent chemical species or molecular states, edges represent reactions or transitions and edge labels represent rates that also ...
Kee-Myoung Nam, Jeremy Gunawardena
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Introduction to Rational Functions [PDF]
Formalized Mathematics, 2012 Summary In this article we formalize rational functions as pairs of polynomials and define some basic notions including the degree and evaluation of rational functions [8]. The main goal of the article is to provide properties of rational functions necessary to prove a theorem on the stability of ...
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Multipartite Rational Functions
Documenta Mathematica, 2020 Consider a tensor product of free algebras over a field \Bbbk , the so-called multipartite free algebra \mathcal{A}=\Bbbk<X^{(1)}> \otimes\cdots\otimes\Bbbk<X^{(G)}>
Klep, Igor +2 more
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Application of graph combinatorics to rational identities of type $A^\ast$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 To a word $w$, we associate the rational function $\Psi_w = \prod (x_{w_i} - x_{w_{i+1}})^{-1}$. The main object, introduced by C. Greene to generalize identities linked to Murnaghan-Nakayama rule, is a sum of its images by certain permutations of the ...
Adrien Boussicault, Valentin Féray
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Rational maps with real multipliers [PDF]
, 2009 Let f be a rational function such that the multipliers of all repelling periodic points are real. We prove that the Julia set of such a function belongs to a circle. Combining this with a result of Fatou we conclude that whenever J(f) belongs to a smooth
Eremenko, A +5 more
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CONSTRUCTIVE DESCRIPTION OF FUNCTION CLASSES ON SURFACES IN R^3 AND R^4
Проблемы анализа, 2019 Functional classes on a curve in a plane (a partial case of a spatial curve) can be described by the approximation speed by functions that are harmonic in three-dimensional neighbourhoods of the curve.
T. A. Alexeeva, N. A. Shirokov
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