Results 11 to 20 of about 3,325,271 (304)
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
openaire +4 more sources
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
core +5 more sources
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
openaire +3 more sources
Rational approximation of discrete data with asymptomatic behaviour [PDF]
This thesis is concerned with the least-squares approximation of discrete data that appear to exhibit asymptotic behaviour. In particular, we consider using rational functions as they are able to display a number of types of asymptotic behaviour.
Cooper, Philip
core +4 more sources
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
doaj +1 more source
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
doaj +1 more source
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 ...
openaire +2 more sources
On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
core +5 more sources
On the location of the zeros of analytic functions
International Journal of Mathematics and Mathematical Sciences, 1990 In this paper we obtain regions containing all the zeros of a class of analytic functions whose coefficients are subject to certain conditions. Our results sharpen some of the results known in this direction.
K. K. Dewan, N. K. Govil
doaj +1 more source
Value distribution of meromorphic functions concerning rational functions and differences
Advances in Difference Equations, 2020 Let c be a nonzero constant and n a positive integer, let f be a transcendental meromorphic function of finite order, and let R be a nonconstant rational function.
Mingliang Fang, Degui Yang, Dan Liu
doaj +1 more source