Column continuous transition functions

Contra $beta^{*}$-continuous and almost contra $beta^{*}$-continuous functions

The notion of contra continuous functions was introduced and investigated by Dontchev. In this paper, we apply the notion of $beta^{*}$-closed sets in topological space to present and study a new class of functions called contra $beta^{*}$-continuous and almost contra $beta^{*}$-continuous functions as a new generalization of contra continuity.

Transition Functions for Evolutionary Algorithms on Continuous State-space

Evolutionary algorithms working on continuous search space can be regarded as general homogeneous Markov chains. The finite space problem of describing the transition matrix turns into the more complicated problem of definining and estimating a transition function. We analyze in this respect the (1+1) evolutionary algorithm on the inclined plane and corridor models. In the first case, the proba...

Generalized Rings of Measurable and Continuous Functions

This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.

Solteq Continuous Distillation Column with Process Control

Decomposing Symmetrically Continuous and Sierpiński-zygmund Functions into Continuous Functions

In this paper we will investigate the smallest cardinal number κ such that for any symmetrically continuous function f : R → R there is a partition {Xξ : ξ < κ} of R such that every restriction f Xξ : Xξ → R is continuous. The similar numbers for the classes of Sierpiński-Zygmund functions and all functions from R to R are also investigated and it is proved that all these numbers are equal. We ...