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Mass media and repulsive interactions in continuous-opinion dynamics
Mass media repulsive interactions continuous-opinion dynamics
2010/4/6
This letter focus on the effect of repulsive interactions on the adoption of an external message in an opinion model. With a simple change in the rules, we modify the Deffuant \emph{et al.} model to i...
Some Proofs on Statistical Magnitudes for Continuous Phenomena
Statistical Magnitudes Continuous Phenomena
2010/4/2
In this work, the proofs concerning the continuity of the disequilibrium, Shannon information and statistical complexity in the space of distributions are presented. Also, some results on the existenc...
Approximation of Continuous Funtions Using Fejer Sums of Jacobi-Fourier Series
Jacobi-Fourier series Fejer sums continuous funtions approximation
2012/10/11
The pointwise estimates of approximation of continuous function() f xby Fejer sums ,(,)nf xαβσ of its Jacobi-Fourier series have been investigated, which improved the results of Li Z K for points.1 x ...
Forward-Backward Diffusion With Continuous Spectrum
Forward-Backward Diffusion Continuous Spectrum
2010/2/26
We prove existence and uniqueness of solutions for a class of forward-backward diffusion equations via a representative example, where the second-order part has continuous spectrum, and the initial an...
On d-I-Continuous Functions
d-I-cluster point R-I-open set d-I-continuous strongly q-I-continuous almost-I-continuous SI-R space AI-R space
2010/2/26
In this paper, we introduce a new class of functions called d-I-continuous functions. We obtain several characterizations and some of their properties. Also, we investigate its relationship with other...
The Discrete and Continuous Painleve VI Hierarchy and the Garnier Systems
Painleve VI Hierarchy the Garnier Systems
2010/11/2
We present a general scheme to derive higher-order members of the Painleve VI (PVI) hierarchy of ODE's as well as their difference analogues. The derivation is based on a discrete structure that sits...