First introduced in the study of the Sturmian words, the iterated palindromic closure was generalized to pseudopalindromes. This operator allows one to construct words with infinitely many pseudopalindromic prefixes, called pseudostandard words. We provide here several combinatorial properties of the fixed points under the iterated pseudopalindromic closure.

We investigate two closure-type properties, the Reznichenko property and the Pytkeev property, in hyperspace topologies.

In this paper, we introduce -Interior, -Closure and some of its basic properties.

We introduce the inner palindromic closure as a new operation ♠, which consists in expanding a factor u to the left or right by v such that vu or uv, respectively, is a palindrome of minimal length. We investigate several language theoretic properties of the iterated inner palindromic closure ♠∗(w) = ⋃ i≥0 ♠ (w) of a word w.

background the vacuum assisted closure (vac) therapy has revolutionized the modern wound care. we developed a new concept of ‘vac at home’ in order to decrease the hospital cost. methods the study was conducted in a private hospital from january 2009 to december 2010. only those patients were included among whom the wounds were not complicated by concomitant injury and the patients were otherwi...

bstract We investigate four crucial properties for testing and evaluating a moment closure approximation of the FENE dumbbell model for dilute olymer solutions: non-negative configuration distribution function, energy dissipation, accuracy of approximation and computational expense. hrough mathematical analysis, numerical experiments and comparisons with closure model FENE-P and FENE-YDL, we pr...

conclusions our results demonstrated the antimicrobial properties of frog skin as a wound dressing, which has antimicrobial effects per se. this biological dressing shows promise as an effective biological wound dressing insofar as not only is it capable of resisting microbes and accelerating wound healing but also it is cost-effective and easy to use. results in the microbial studies, the bact...

We extend the Alpern and Schneider linear time characterization of safety and liveness properties to branching time, where properties are sets of trees. We define two closure operators that give rise to the following four extremal types of properties: universally safe, existentially safe, universally live, and existentially live. The distinction between universal and existential properties capt...

The notion of a k-automatic set of integers is well-studied. We develop a new notion — the k-automatic set of rational numbers — and prove basic properties of these sets, including closure properties and decidability.