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Digit systems over commutative rings
(World Scientific Publ Co Pte Ltd, 2014-09-01)
Let epsilon be a commutative ring with identity and P is an element of epsilon[x] be a polynomial. In the present paper we consider digit representations in the residue class ring epsilon[x]/(P). In particular, we are ...
Border detection in digital images: An approach by fuzzy numbers
(2007-12-01)
The purpose of this paper is to introduce a new approach for edge detection in gray shaded images. The proposed approach is based on the fuzzy number theory. The idea is to deal with the uncertainties concerning the gray ...
Adaptive synchronization of Lorenz systems using a reduced number of control signals and parameters without knowing bounds on system parameters and trajectories
(Oxford University Press, 2018-03)
This article analyzes the synchronization of two Lorenz systems with unknown but matched parameters. The proposed control strategies use a reduced number of control signals and adjustable parameters, without any assumption ...
Propriedades dos sistemas de numeração: uma sequência didática em uma abordagem histórica
(Universidade Federal do Rio Grande do NorteBRUFRNPrograma de Pós-Graduação em Ensino de Ciências Naturais e MatemáticaEnsino de Ciências Naturais e Matemática, 2012-12-20)
This paper aims to describe the construction and validation of a notebook of activities whose content is a didactic sequence that makes use of the study of ancient numbering systems as compared to the object of our decimal ...
Digit systems over commutative rings
(World Scientific Publ Co Pte Ltd, 2015)
Adaptive synchronization of fractional Lorenz systems using a reduced number of control signals and parameters
(Elsevier, 2016)
This paper analyzes the synchronization of two fractional Lorenz systems in two cases: the first one considering fractional Lorenz systems with unknown parameters, and the second one considering known upper bounds on some ...
The occurrence of prime numbers revisited
(Univ Pablo Olavide, 2016)
Based on an arithmetical and autocatalytic approach, the authors propose a solution for
the occurrence of prime numbers. Exact arithmetical calculations are provided for: the closest
prime to any given positive integer ...
On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
(Elsevier B.V., 2015-04-01)
In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number ...
Digit systems over commutative rings
(World Scientific Publ Co Pte Ltd, 2015)