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Limits of quotients of polynomial functions in three variables
(ASSOC COMPUTING MACHINERY, 2017-06-01)
A method for computing limits of quotients of real analytic functions in two variables was developed in [4]. In this article we generalize the results obtained in that paper to the case of quotients q = f(x, y, z)/g(x, y, ...
Estimates on the number of Fq–rational solutions of variants of diagonal equations over finite fields
(Elsevier, 2020-12)
In this paper we study the set of Fq-rational solutions of equations defined by polynomials evaluated in power-sum polynomials with coefficients in Fq. This is done by means of applying a methodology which relies on the ...
Approximating a class of combinatorial problems with rational objective function
(SPRINGER, 2010)
In the late seventies, Megiddo proposed a way to use an algorithm for the problem of minimizing a linear function a(0) + a(1)x(1) + ... + a(n)x(n) subject to certain constraints to solve the problem of minimizing a rational ...
Monetary policy and stock market bubbles: the Brazilian Catch 22
(2021)
This paper estimates the response of stock prices to monetary policy shocks following the framework set by Gali and Gambetti (2015) using data for Brazil. In doing so, a time-varying coefficient VAR is used for both quarterly ...
The structure of bivariate rational hypergeometric functions
(Oxford University Press, 2011-10)
We describe the structure of all codimension-2 lattice configurations A which admit a stable rational A-hypergeometric function, that is a rational function F all the partial derivatives of which are nonzero, and which is ...
Rational approximations of the Arrhenius integral using Jacobi fractions and gaussian quadrature
(Springer, 2009-03-01)
The aim of this work is to find approaches for the Arrhenius integral by using the n-th convergent of the Jacobi fractions. The n-th convergent is a rational function whose numerator and denominator are polynomials which ...
Rational approximations of the Arrhenius integral using Jacobi fractions and gaussian quadrature
(Springer, 2009-03-01)
The aim of this work is to find approaches for the Arrhenius integral by using the n-th convergent of the Jacobi fractions. The n-th convergent is a rational function whose numerator and denominator are polynomials which ...
Impact assessment of the rational selection of training and test sets on the predictive ability of QSAR models
(Taylor & Francis Ltd, 2017-12)
This study performed an analysis of the influence of the training and test set rational selection on the quality and predictively of the quantitative structure–activity relationship (QSAR) model. The study was carried out ...
Limits of quotients of polynomial functions of three variables, Classification of G-graded twisted algebras and the computation of the F-rational locus
(2015)
This thesis is divided in three main parts. In the first part we provide a theoretical method to determine the existence of the limit of a quotient of polynomial functions of three variables. An algorithm to compute such ...
Possible Intervals for T- and M-Orders of Solutions of Linear Differential Equations in the Unit Disc
(HINDAWI PUBLISHING CORPORATION, 2011)
In the case of the complex plane, it is known that there exists a finite set of rational numbers containing all possible growth orders of solutions of f((k)) + a(k-1)(z)f((k-1)) + ... + a(1)(z)f' + a(0)(z)f = 0 with ...