This paper introduces fundamental ideas of bitopological dynamical systems. Here, notions transitivity, point pairwise iterated compactness, weakly etc. are introduced. Later, it is shown that under homeomorphism, transitivity implies transitivity. Moreover, homeomorphism; compactness and found to be equivalent. we apply our results in the development process a human embryo from zygote until bi...

nonnative english-speaking scholars have often been reported to be at a disadvantage vis-à-vis their english native counterparts when it comes to writing a publishable research article (ra). when they submit their manuscripts to english-language journals, they sometimes receive comments criticizing their faulty english. one area of difficulty for these authors is the grammaticalization of neutr...

We build a theoretical framework that enables to extend the concept of transitive closure to the class of complete crisp relations, the class of reciprocal 3-valued relations and the class of reciprocal [0, 1]valued relations. We present algorithms to compute the transitive closure of reciprocal [0, 1]-valued relations, where the type of transitivity is either weak stochastic transitivity or st...

A distributional model of the relation between judgments on transitivity tasks and memory for premise comparisons is proposed, according to which a total population of children solving a transitivity task can be divided into two subpopulations: (a) The operational subpopulation consists of all children who infer their transitivity judgments (e.g., stick A is longer than stick C) from a composit...

This paper investigated children's ability to use syntactic structures to infer semantic information. The particular syntax-semantics link examined was the one between transitivity (transitive/intransitive structures) and telicity (telic/atelic perspectives; that is, boundedness). Although transitivity is an important syntactic reflex of telicity, it is neither necessary nor sufficient for pred...

The statement "x>y" may be read "x dominates y." Transitivity is not assumed ; a transitive weakly ordered system is a partially ordered system. By a solution of a weakly ordered system is meant a set V of elements of D such that (a) XÇLV and y £ V implies x># for some yÇ~ V. The concept of solution was introduced in J. von Neumann and O. Morgenstern, Theory...

Abstract As is well known, implication transitive but probabilistic support not. Eells and Sober, followed by Shogenji, showed that screening off a sufficient constraint for the transitivity of support. Moreover, this condition can be weakened without sacrificing transitivity, as was demonstrated Suppes later Roche. In paper we introduce an even weaker support, in fact one made weak wishes. We ...

When is a cause of a cause of an effect also a cause of that effect? The right answer is either “Sometimes” or “Always”. In favour of “Always”, transitivity is considered by some to be necessary for distinguishing causes from redundant noncausal events. Moreover transitivity may be motivated by an interest in an unselective notion of causation, untroubled by principles of invidious discriminati...

PURPOSE Reflection is increasingly being used in higher education, but the criteria to assess the depth of reflection in student essays are difficult to define. This article tested the hypothesis that a good reflective essay contains more terms indicating mental processes. METHODS The authors selected two essays written by first year medical students at The University of Hong Kong, after thei...