This study examined bacterial growth and type on biofilm-controlling dental unit waterline (DUWL) tubing (T) and control manufacturer's tubing (C) in a laboratory DUWL model using ultrapure source water that was cycled through the lines. Sections of tubing lines were detached and examined for biofilm growth using SEM imaging at six sampling periods. Bacteria from inside surfaces of T and C, sou...

In this paper, we study the following detection problem. There are n detectors randomly placed in the unit square S = [ − 2 , 12 2 assigned to detect the presence of a source located at the origin. Time is divided into slots of unit length and Di(t) ∈ {0, 1} represents the (random) decision of the ith detector in time slot t. The location of the source is unknown to the detectors and the goal i...

A many-to-many k-disjoint path cover (k-DPC for short) of a graph G joining the pairwise disjoint vertex sets S and T , each of size k, is a collection of k vertex-disjoint paths between S and T , which altogether cover every vertex of G. This is classified as paired, if each vertex of S must be joined to a specific vertex of T , or unpaired, if there is no such constraint. In this paper, we de...

Triangular subnorms are associative commutative non-decreasing operations on the unit interval, upper bounded by the minimum. Continuous triangular subnorms are shown to be ordinal sum of Archimedean continuous t-subnorms with at most one proper t-subnorm summand. Special attention is paid to generate continuous t-subnorms. An application of continuous t-subnorms to the construction of left-con...

0. Introduction. This paper extends some results from [1] and applies them to certain transformations of the unit interval. §§2-4 are concerned with symbolic dynamics and §§5-6 are concerned with their application to the proof of our main theorem which states sufficient conditions for a piecewise continuous transformation of the unit interval to be conjugate to a (uniformly) piecewise linear tr...

CONTENTS ~ Let Ps(n) = J^jLi J~ For fixed s near s = \t we divide the unit

In a recent paper the author proved that if Q is any compact metric space containing non-denumerably many points and C(Q) is the Banach space of all continuous functional over ft, then there is a Pettis integrable function from the unit interval to C(0) whose integral fails to be weakly differentiable on a set of positive measure. The purpose of this note is to obtain the same result, assuming ...