Remarks on boson commutation rules

Commutation of Cellular Automata Rules

This paper addresses the following problem: Given a onedimensional cellular automata (CAl defined over Z2 with a rule represented by an operat or X , determine all one-dimensional rules over Z2 which commute with X . It is shown th at the set of all such rules is given by th e solut ion set of a system of nonlinear Diophantine equations. This result is generalized to cover cellular automata who...

Further remarks on Quantitative Association Rules Mining

Efficient algorithms for discovering association rules from binary data already exist. However, most of real world databases are not boolean. The problem of expanding these algorithms to handle variety types of data such as quantitative data has been attracted the attention of many researchers. In this paper we provide a comparison of existing algorithms for generating association rules from qu...

Introductory Remarks on Monetary Policy Rules

Remarks on Some Properties of Decision Rules

This paper shows that some properties of the decision rules in the literature do not hold by presenting a counterexample. We give sufficient and necessary conditions under which these properties are valid. These results will be helpful when one tries to choose the right decision rules in the research of rough set theory. Keywords—Rough set, Decision table, Decision rule, coverage factor.

Some Remarks on the Construction of Extended Gaussian Quadrature Rules

We recall some results from a paper by Szego on a class of polynomials which are related to extended Gaussian quadrature rules. We show that a very efficient algorithm, for the computation of the abscissas of the rules in question, was already described in that paper. We also point out that this method extends to rules for integrals with an ultraspherical-type weight function. A bound for the e...