In this paper we make a conjecture about the norm of the fundamental unit, N(e), of some real quadratic number fields that have the form k = Q(√(p1.p2) where p1 and p2 are distinct primes such that pi = 2 or pi ≡ 1 mod 4, i = 1, 2. Our conjecture involves the case where the Kron...
Open access
Research Article10.9734/jamcs/2020/v35i330258
We model and simulate piping erosion phenomena with deposition in a spatially heterogeneous soil mass motivated by seepage flow. The soil is considered to be a porous media with periodic positioning of pores spread around cylindrical structures or microstructures making the heter...
Open access
Research Article10.9734/jamcs/2020/v35i330257
We present a rigorous homogenization approach to modelling piping flow erosion in a spatially heterogeneous soil. The aim is to provide a justication to a formal homogenization approach to piping flow erosion with deposition in a spatially heterogeneous soil. Under the assumption...
Open access
Research Article10.9734/jamcs/2020/v35i330256
In the present paper, we show the equivalent denitions of the joint essential maximal numerical range. In the current paper, we show that the properties of the classical numerical range such as compactness also hold for the joint essential maximal numerical range. Further, we sho...
Open access
Research Article10.9734/jamcs/2020/v35i330255
Aims/ objectives: This paper presents the different types of recommender filtering techniques. The main objective of the study is to provide a review of classical methods used in recommender systems such as collaborative filtering, content-based filtering and hybrid filtering, highli...
Open access
Research Article10.9734/jamcs/2020/v35i230254
This paper presents a retrial queueing system with customer induced interruption while in service. We consider a single server queueing system of infinite capacity to which customers arrive according to a Poisson process and the service time follows an exponential distribution. A...
Open access
Research Article10.9734/jamcs/2020/v35i230253
Since the inception of the novel Corona Virus Disease-19 in December in China, the spread has been massive leading World Health Organization to declare it a world pandemic. While epicenter of COVID-19 was Wuhan city in China mainland, Italy has been affected most due to the high...
Open access
Research Article10.9734/jamcs/2020/v35i230252
In this paper, we apply a novel Modied of Adomian Decomposition Method (MADM) for solving Singular Boundary Value Problems (BVPs) of Emden-Fowler type of higher order. The higher-order Emden-Fowler equation is characterized by two types. In addition, we test the presented method...
Open access
Research Article10.9734/jamcs/2020/v35i230251
Climate warming is a hot topic of common concern all over the world and it has had a significant impact on climate, oceans and human life. The increase in the concentration of carbon dioxide in the atmosphere has become a significant factor in climate warming. In recent years, th...
Open access
Research Article10.9734/jamcs/2020/v35i230250
In order to achieve accurate prediction of new energy related data, a fractional grey support vector regression model based on nested cross-validation is proposed. In order to verify the superiority of the new model, China’s wind energy consumption data from 2001 to 2014 were sel...
Open access
Research Article10.9734/jamcs/2020/v35i230249
In this paper, we introduce the generalized Grahaml sequences and we deal with, in detail, three special cases which we call them Grahaml, Grahaml-Lucas and modified Grahaml sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas...
Open access
Research Article10.9734/jamcs/2020/v35i230248
The security of public places is becoming important with the increased rate of violence and subversion. Recently, several types of research have been proposed to automatically detect abnormal behavior in public places like a car crash, violence or other hazardous events in an att...
Open access
Research Article10.9734/jamcs/2020/v35i230247
The study assesses Value at Risk (VaR) methods with respect to their efficiency and consistency in selected banks of the Nigeria Stock Market. The daily data on share prices of each bank was used from 2006 to 2018. The Value at Risk of each bank was estimated and the predictive p...
Open access
Research Article10.9734/jamcs/2020/v35i230245
In this paper, the notion of a relative extension of continuous mappings is defined. The relative extension of continuous mappings is the generalization of the notion of a relative retract in topological spaces. The relative extension of continuous mappings will be applied to fix...
Open access
Research Article10.9734/jamcs/2020/v35i230246
In this study, we want to analyze a large deviation principle associated with a family process x ϵ = (x ϵ t ), t ≥ 0 in the Besov-Orlicz space whose drift coefficient is additionally perturbed by a strictly stationary process ζ = (ζt), t ≥ 0, defined on the probability space (Ω,...
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Research Article10.9734/jamcs/2020/v35i130244