In this research paper, αIg-open sets are used to define and study some separation axioms in ideal topological spaces. The implications of these axioms among themselves and with the known axioms are investigated.
Open access
Research Article10.9734/ARJOM/2018/40636
In the inviscid rip-current regime it was demonstrated that there is a longshore component of the rip current system, which does not need friction in order to exist. Hence here in the viscous regime we are not concerned with any frictionally determined currents, but only with how...
Open access
Research Article10.9734/ARJOM/2018/34820
The generalized Duffing oscillator is investigated in this paper by using the Equivalent Linearization method with a weighted averaging. Applying of the Equivalent Linearization method in which the averaging value is calculated in a new way called the weighted averaging value by...
Open access
Research Article10.9734/ARJOM/2018/40684
Wastages and shortages of academic personnel in universities are issues of great concern to management of universities (Both public and private). However, in the available literature, there are no adequate mathematical models that evaluate the cost implications of personnel outs...
Open access
Research Article10.9734/ARJOM/2018/40480
In solving unconstrained optimization problems, both quasi-Newton and conjugate gradient methods are known to be efficient methods. Hence, the optimal hybrid Broyden-Fletcher- Goldfarb-Shanno-Conjugate Gradient (OBFGS-CG) method is proposed in this work, which combines the streng...
Open access
Research Article10.9734/ARJOM/2018/39293
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...
Open access
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...
Open access
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.
Open access
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.
Open access
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.
Open access
Research Article10.9734/ARJOM/2018/39452