The quantitative study (counting and size and surface evaluation of bacterial colonies) of the activity of an antimicrobial agent against a microbial population growing in solid medium can be performed by an electronic image analyzer. The Zeiss Micro-Videomat allowed the detection of even slight antimicrobial effects, which would be difficult to detect by colony counting alone and would escape ...

Robins et al. (2004, Comparative Quantification of Health Risks: Global and Regional Burden of Disease Attributable to Selected Major Risk Factors. Geneva: World Health Organization) introduced the extended g-formula to estimate from observational data the risk of failure under hypothetical interventions wherein a subject’s treatment at time k is assigned based on the natural value of treatment...

abstract. certain facts about frames and generalized frames (g- frames) are extended for the g-frames for hilbert c*-modules. it is shown that g-frames for hilbert c*-modules share several useful properties with those for hilbert spaces. the paper also character- izes the operators which preserve the class of g-frames for hilbert c*-modules. moreover, a necessary and suffcient condition is ob- ...

In this paper, we improve some previous definitions of fuzzy-type Turing machines to obtain degrees of accepting and rejecting in a computational manner. We apply a BFS-based search method and some level’s upper bounds to propose a computational process in calculating degrees of accepting and rejecting. Next, we introduce the class of Extended Fuzzy Turing Machines equipped with indeterminacy s...

A graph G is triangle-saturated if every possible edge addition to G creates one or more new triangles (3-cycles). Such a graph is minimally triangle-saturated if removal of any edge from G leaves a graph that is not triangle-saturated. This paper investigates adding a single new vertex to a triangle-saturated graph so as to produce a new trianglesaturated graph, and determines the conditions u...

Best approximation results provide an approximate solution to the fixed point equation $Tx=x$, when the non-self mapping $T$ has no fixed point. In particular, a well-known best approximation theorem, due to Fan cite{5}, asserts that if $K$ is a nonempty compact convex subset of a Hausdorff locally convex topological vector space $E$ and $T:Krightarrow E$ is a continuous mapping, then there exi...

Propositional Dynamic Logic (PDL) has been introduced by M.J. Fischer and R.E. Ladner as an extension of the classical propositional logic and propositional modal logic K for reasoning about partial correctness of structured nondeterministic programs. Many variants of PDL have been studied extensively especially from viewpoint of decidability and axiomatizability. In particular, recently C. Lut...

The main purpose of this paper is to use a new way to extend fuzzy implications $I$ from a generalized sublattice $M$ to a bounded lattice $L$, such that the extended implications preserve many of the considered properties of fuzzy implications on $M$.Furthermore, as a special case, we investigate the extension of $(S,N)-$implications. Results indicate that the extended implications preserve ma...