Riemann hypothesis is a conjecture that real part of every non-trivial zero of the Riemann zeta function is 1/2. The main contribution of this paper is to achieve the proof of Riemann hypothesis. The key idea is to provide an Hamiltonian operator whose real eigenvalues correspond...
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Research Article10.9734/ARJOM/2018/40341
The majority of the Optimal design research has focused on linear models and binary data models. However, a couple of researches have recently called attention to Poisson regression models with random effects. In the present paper, we theoretically and numerically discuss the opt...
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Research Article10.9734/ARJOM/2018/40150
In this paper, we prove a fixed point theorem in the framework of complete partial b-metric space. Inspiring from Suzuki and Piri-Afshari. The article also includes an example which shows the validity of our result.
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Research Article10.9734/ARJOM/2018/39819
The notion of quasiconvex functions on time scales is presented. Some properties such as set relations, inequalities, continuity and differentiability of quasiconvex functions on time scales are established.
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Research Article10.9734/ARJOM/2018/38946
We transform a zeta function to the alternative sum as and represent it as some series, for example etc., where (s)n = s(s + 1) ... (s + n-1), Re(s) > 1, and we obtain their formulas.
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Research Article10.9734/ARJOM/2018/39452
The object of the present paper is to study the geometry of distributions £ and ℳ of the generalized Kenmotsu manifold. Using the totally umbilicity of the distributions £ and ℳ, it is shown that if M is totally umbilical then it is totally geodesic. Also, the integrability of t...
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Research Article10.9734/ARJOM/2018/39489
The hepatitis C virus infects the liver which does not display an early symptom. As such an infected individual recognize these infections only at the later stage. Around the globe, many individuals suffer from HCV. In this study, we developed a transmission of HCV with five comp...
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Research Article10.9734/ARJOM/2018/39116
In this paper, we define a new generalized difference sequence space l(p, θ,Δm, s) involving lacunary sequence where p = (pr) is a bounded sequence of positive real numbers with pr > 1 for all r ∈ and s ≥ 0. Then, we examine the uniform Opial property, k-NUC property and Banac...
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Research Article10.9734/ARJOM/2018/39783
Constrained multibody mechanical systems are used in various applications. These systems often lead to index-2 or index-3 differential-algebraic equations (DAEs), which are known to pose a challenge to numerical integration methods. This paper develops a novel approach to solve i...
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Research Article10.9734/ARJOM/2018/38983
In this research work two iterative methods of solving system of linear equation has been compared, the iterative methods are used for solving sparse and dense system of linear equation and the methods were being considered are: Jacobi method and Gauss-Seidel method. The results...
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Research Article10.9734/ARJOM/2018/34769
In this work, we aimed to construct a variety of solitary travelling wave solutions of a wide class of nonlinear partial differential equations (PDE's) that is governed by a presented single nonlinear partial differential equation (PDE) using the powerful modified extended Tanh m...
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Research Article10.9734/ARJOM/2018/36887
In this study, an experimental design was carried out on the potency of Moringa oleifera to Acarbose of STZ-induced type II diabetic rats. It also examined the blood glucose level of those rats and the weight gain and losses of the rats during the experimental period. The data us...
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Research Article10.9734/ARJOM/2018/37683
This paper introduces a new generalization of the generalized inverse Weibull distribution. This new distribution is named exponentiated transmuted generalized inverse Weibull distribution, which contains a number of distributions as special cases. The properties of the new distr...
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Research Article10.9734/ARJOM/2018/38369
This paper introduces a new theorem (B)(E,1) on product summability of Fourier series which is the generalization of the result given by Izumi S. [1] under analogous conditions.
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Research Article10.9734/ARJOM/2018/33839