in this paper, the notion of maximal m-open set is introduced and itsproperties are investigated. some results about existence of maximal m-open setsare given. moreover, the relations between maximal m-open sets in an m-spaceand maximal open sets in the corresponding generated topology are considered.our results are supported by examples and counterexamples.

The fastest supercomputers today such as Blue Gene/L, Blue Gene/P, Cray XT3 and XT4 are connected by a three-dimensional torus/mesh interconnect. Applications running on these machines can benefit from topology-awareness while mapping tasks to processors at runtime. By co-locating communicating tasks on nearby processors, the distance traveled by messages and hence the communication traffic can...

In this paper, we introduce and study a new topology related to a self mapping on a nonempty set.Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For insta...

We seek a simple model that describes how market forces acting on rational players result in the evolution of the multi-faceted topology of the Internet that we see today. We model the system based on two levels of dynamic engagement of players—at the global level with clusters of ASs operating in fixed regions, and at the regional level where each AS tries to make appropriate decisions to incr...

Abstract- Kernel trick and projection to tangent spaces are two choices for linearizing the data points lying on Riemannian manifolds. These approaches are used to provide the prerequisites for applying standard machine learning methods on Riemannian manifolds. Classical kernels implicitly project data to high dimensional feature space without considering the intrinsic geometry of data points. ...

Congenital cardiac malformations which include isomerism of the atrial appendages are amongst the most challenging of problems for diagnosis and also for medical and surgical management. The nomenclature for pathological description is controversial, but difficulties can be overcome by the use of a segmental approach. Such an approach sets out the morphology and the topology of the chambers of ...

The performance of several Internet applications often relies on the measurability of path similarity between different participants. In particular, the performance of content distribution networks mainly relies on the awareness of content sources topology information. It is commonly admitted nowadays that, in order to ensure either path redundancy or efficient content replication, topological ...

The purposes of the present study were to explore the relationship between body awareness and negative body attitude, interoceptive body awareness and physical self in women practicing fitness as well as to analyze the determinants of body awareness. The Body Awareness Questionnaire, the Multidimensional Assessment of Interoceptive Awareness, the Physical Self-Description Questionnaire and the ...

Efficient marketing or awareness-raising campaigns seek to recruit n influential individuals – where n is the campaign budget – that are able to cover a large target audience through their social connections. So far most of the related literature on maximizing this network cover assumes that the social network topology is known. Even in such a case the optimal solution is NP-hard. In practice, ...

The paper aims at exploring the relationship between perceived pronunciation performance and metalinguistic awareness in the acquisition of third language phonology. The study involved 27 participants with Polish as L1, English as L2 and French as L3. In the first part of the study, third language pronunciation performance was assessed by means of online ratings involving 3 components: foreign ...