About unitary quantum theory and catalytic process theory
In article is considered approximately unitary quantum equation with oscillating charge for single particle. The Laws of the conservation are got after averaging on ensemble of the particles. Using of this equation allows with united position to explain many mysterious phenomenas of the catalytic processes and nature.
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Cofinitely quasi-injective modules
In this paper cofinitely quasi-injective modules defined. Let and be modules. Let be a monomorphism from any module such that is cofinite submodule of . Then is called cofinitely injective module if any homomorphism can be extended to an homomorphism . An module is called cofinitely quasi injective, if is cofinitely injective module.
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Directed edge - graceful labeling of trees
Rosa [13] introduced the notion of graceful labelings. The concept of magic, antimagic and conservative labelings have been extended to directed graphs [11]. Bloom and Hsu [3, 4, 5] extended the notion of graceful labeling to directed graphs. In 1985, Lo [12] introduced the notion of edge – graceful graphs. We introduced [8] the concept of edge – graceful labelings to directed graphs and further studied in [9]. In this paper we investigate directed edge – graceful labeling of trees.
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Nuetrosophic soft cubic set on BCK/BCI algebra
This paper aims of inducing the notion of neutrosophic soft cubic set to BCK/BCI-algebras. Here we focus on various characterizations of neutrosophic soft cubic BCK/BCI-algebras. We infer that the R-intersection of two neutrosophic soft cubic BCK/BCI-algebras is also a neutrosophic soft cubic BCK/BCI- algebras. We also investigate several properties of neutrosophic soft cubic subalgebras of BCK/BCI-algebras based on a given parameter.
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Properties of Laplace transforms with some of their types on differential equations
In this manuscript, we will discuss a definition of Laplace transforms with some of their properties. with common applications. This will be according to some types and ranks of differential equations. We will also show how to find the inverse Laplace transform. We also showed what are differential equations of the third order and how the Laplace transform is applied to them. In addition to (Heterogeneous Linear Equations), which is a type of differential equation. The articles of this manuscript were interspersed with a mention of some types of solutions.
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A generalization of Shannon inequality based on Aczel and Daroczy entropy and its application in coding theory
In the present paper, we have generalized Shannon inequality for Aczel and Daroczy entropy and give its application in coding theory. We define mean codeword length and their bounds have been defined and a coding theorem on a lower and upper bounds of a generalized mean codeword length in terms of Aczel and Daroczy entropy has been proved.
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A Recurrence Relation to Construct 1- Factors of Complete Graphs
Prior researches found several methods to construct 1- factorization using Steiner triple systems [1], the staircase method of Bileski [2], and etc. But not given any method of constructing 1- factors in complete graphs. In our previous work, we briefly explained this construction and published in an Abstract form in the iPURSE 2017. Generalization of that work is given in this paper. For complete graphs whose number of vertices is a multiple of 2, we implement our finding using Java program
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Constructing strongly regular graphs from skew-hadamard matrices
In this work, a new algorithm is proposed and that can be used to construct strongly regular graphs from skew-Hadamard matrices. The proposed method is based on matrix manipulations and is similar to the construction given by Jayathilaka A.A.C.A. et al., where they considered Hadamard matrices. Two strongly regular graphs have been constructed by using skew-Hadamard matrices of order 2 and 4 and are drawn using a Java programme. Considering skew-Hadamard matrices of higher order, larger strongly regular graphs can be obtained and those can be used as networks with several nodes.
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Introduction of Laplace Transforms and their Relationship to Differential Equations
In this manuscript we will show what are the Laplace transforms. What is their relationship to differential equations? Where we will explain some general examples of this relationship through a brief explanation of some applications. This will be clarified through the articles of the manuscript as below.
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Laplace Transform (Definition of Differential Influencer Method) and Application
After we covered the subject of Laplace transformations through two previous manuscripts. In this manuscript, we will discuss the definition of (Differential Influencer Method), which is a type of method for solving differential equations. As we explained through the example of the difference between (normal method) and (Laplace transform method) as mathematically supported solution methods.
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