APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
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Relatively Prime Inverse Domination On Line Graph
Full text linkLet G be non-trivial graph. A subset D of the vertex set V (G) of a graph G is called a dominating set of G if every vertex in V − D is adjacent to a vertex in D. The minimum cardinality of a dominating set is called the domination number and is denoted by γ(G). If V −D contains a dominating set S of G, then S is called an inverse dominating set with respect to D. In an inverse dominating set S, every pair of vertices u and v in S such that (degu, degv) = 1, then S is called relatively prime inverse dominating set. The minimum cardinality of a relatively prime inverse dominating set is called relatively prime inverse dominating number and is denoted by γ −1 rp (G). In this paper we find relatively prime inverse dominating number of some line graphs
IFG#α-CS in Intuitionistic Fuzzy Topological Spaces
Full text linkThe aim of this prospectus is to initiate and establish the basic properties of IFG#α-closed sets and IFG#α-open sets. Basic characterization theorems are given with appropriate example
Weakly θ-I-Closed Sets and Weakly θ-I-continuous functions with respect to an Ideal Topological Spaces
Full text linkIn this paper, we introduce \breve{\theta}-\mathcal{I}-closed sets, \breve{\theta}-\mathcal{I}-closed sets, \breve{\theta}-\mathcal{I}-continuous functions and \breve{\theta}-\mathcal{I}-continuous functions and investigate their properties and its characterizations. After that we introduce weakly \breve{\theta}-\mathcal{I}-continuous functions and study the relationship between other types of continuous functions with suitable examples
Tri-Closed Sets In Tri-Topological Spaces
No full textIn this paper, we introduce a new class of sets called tri-\ b\widehat{g\ }closed sets and tri-\ b\widehat{g\ }open sets via the concept of tri- \widehat{g\ }closed sets in tri topological spaces. Also, we investigate the relationship with other existing closed sets in tri-topological space
Properties of Nano Generalized Pre c-Interior in a Nano Topological Space
Full text linkThe aim of this paper is to introduce and study the properties the nano generalized pre c- interior of a set such as nano generalized pre c-border and nano generalized pre c-exterior in a nano topological space
Influence of chemical reaction, radiation and heat source on separation of binary fluid mixture with Soret and Dufour effects on MHD mixed convective flow past a vertical plate
Full text linkThe motive of the current study is to analyse the consequences of Soret, Dufour and thermal radiation on chemically reactive MHD mixed convective flow on separation of binary fluid mixture. Numerical techniques are applied to obtain the results by using Matlab solver bvp4c. Results are acquired for velocity, temperature and concentration distributions for various parameters and are portrayed graphically. The study discloses some interesting results where different parameters like Soret number, Dufour number, chemical reaction parameter helps in restricting the temperature near the plate and at the same time raising the lightweight ingredient's concentration close to the plate, ultimately assisting the separation process. Numerical data are computed for coefficient of skin-friction coefficient, Local Nusselt number as well as Sherwood number
Strong Forms of b-Continuous Multifunctions
Full text linkIn this paper we have introduced strong forms of b-continuous multifunctions namely b#-multicontinuity and *b-multicontinuity and studied their properties and characterizations. Also investigate the relationship with other type of functions with suitable examples
Scientific-Philosophical Base of Darwin's and Wallace's Theory of Evolution
Full text linkIf Darwin's and Wallace's theory of evolution is reduced to "eat and be eaten" misunderstanding and rejection arise. From a didactic point of view, a scientific and philosophical examination of the theory is necessary. It can create understanding and acceptance. Epistemologically, the theory of evolution describes a cognition and innovation process that corresponds to scientific working methods. The philosophical analysis shows that ethical behaviour emerges in evolution. The basic concept of this article is the assumption of the unity of spirit and matter (monism) and the parallelism of ethics and mechanics (Elome concept). There is no principal contradiction between the theory of evolution and religious ideas but to the magical-mythical worldview. An understanding of the scientific method is a prerequisite for a deeper understanding of the evolutionary process. It is not about a branch of biology, but about a world view
Results on Relatively Prime Domination Number of Vertex Switching of Some Graphs
Full text linkIf a set S ⊆ V has at least two members and every pair of vertices u and v is such that (d(u), d(v)) = 1, then it is said to be a relatively prime dominating set. The relatively prime domination number, represented by γrpd(G), is the lowest cardinality of a relatively prime dominating set. The switching of a finite undirected graph by a subset is defined as the graph Gσ(V, E′), which is obtained from G by removing all edges between σ and its complement V − σ and adding as edges all non-edges between σ and V − σ. In this paper, we com-pute the relatively prime domination number of vertex switching of cycle type graphs like David Star Graph, Helm Graph, Friendship Graph and Book Graph
Causality and no-go theorems
Full text linkThe aim of the paper is to investigate the role played by causality, and more specifically the no-signaling condition, in the assessment of the quantum theory. To this end, we discuss why it is important that even a non-relativistic theory such as Quantum Mechanics doesn’t imply a violation of this condition. Then, we use this argument to prove an original result stating that the destructive behaviour of the measurement process on the entanglement properties of quantum systems is a necessary and unavoidable feature of the quantum theory. Finally, we critically review the no-cloning theorem. The original formulation of the theorem states that a linear quantum cloning machine, designed in order to successfully clone states that coincide with appropriate basis vectors, fails to copy states that are a non-trivial superposition of those basis vectors; we will furthermore prove that such a linear cloning device, even with the hypothesis that it can only clone basis vectors successfully, may provide a violation of the no-signaling condition and therefore cannot exist