Open AccessThe fuzzy disc: a review
Author(s) -
Fedele Lizzi,
Patrizia Vitale,
Alessandro Zampini
Publication year - 2006
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/53/1/054
Subject(s) - eigenfunction , mathematics , fuzzy logic , laplace operator , bessel function , algebra over a field , pure mathematics , mathematical analysis , eigenvalues and eigenvectors , physics , computer science , artificial intelligence , quantum mechanics
In this talk we present a matrix approximation to the algebra of functions on the disc and define a fuzzy approximation to the Laplacian with Dirichlet boundary conditions. A basis for the NC algebra is introduced in terms of the eigenfunctions of the fuzzy Laplacian, which are seen to converge to the eigenfunctions of the ordinary Laplacian on the disc, that is, the Bessel functions