Let R be a commutative ring with identity 1 and I is an ideal of R. The zero divisor graph of the ring with respect to ideal has vertices defined as follows: {u ∈ Ic | uv ∈ I for some v ∈ Ic}, where Ic is the complement of I and two distinct vertices are adjacent if and only if t...
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Research Article10.9734/jamcs/2021/v36i530360
Empirical evidence in support of generalizations of Fermat's equation is presented. The empirical evidence consists mainly of results for the p = 3 case where Fermat's Last Theorem is almost false. The empirical evidence also consists of results for general p values. The \pth pow...
Open access
Research Article10.9734/jamcs/2021/v36i530361
In this paper intuitionistic set theory INC# ∞# in infinitary set theoretical language is considered. External induction principle in nonstandard intuitionistic arithmetic were derived. Non trivial application in number theory is considered.The Goldbach-Euler theorem is obtained...
Open access
Research Article10.9734/jamcs/2021/v36i430359
Groundwater is the main source of fresh water available for human beings. The surface water groundwater interaction affects the quantity and quality of groundwater. Hence the study of surfacewater-groundwater interaction is the emerging topic in this new era. In this paper, the a...
Open access
Research Article10.9734/jamcs/2021/v36i430358
Forecasting gasoline consumption is of great significance for formulating oil production, foreign trade policies, and ensuring the balance of domestic refined oil supply. Based on grey system theory, a fractional accumulation operator is constructed to optimize the accumulation m...
Open access
Research Article10.9734/jamcs/2021/v36i430356
In this paper, we extend the Bernardi-Raugel element [1] to convex polygonal meshes by using the generalized barycentric coordinates. Comparing to traditional discretizations defined on triangular and rectangular meshes, polygonal meshes can be more flexible when dealing with com...
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Research Article10.9734/jamcs/2021/v36i430357
Statistical prediction is one of the most important problems in life testing; it has been applied in medicine, engineering, business and other areas as well. In this paper, the exponentiated generalized xgamma distribution is introduced as an application on the exponentiated gene...
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Research Article10.9734/jamcs/2021/v36i430355
By using the properties of Euler function, an upper bound of solutions of Euler function equation is given, where is a positive integer. By using the classification discussion and the upper bound we obtained, all positive integer solutions of the generalized Euler function equa...
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Research Article10.9734/jamcs/2021/v36i430353
Let T be a unit regular tetrahedron. A diminished copy of T is the image of T under a homothety with positive ratio smaller than 1. Let m be a positive integer and let γm(T) be the smallest positive number r such that T can be covered by m translates of rT. Zong gave the results...
Open access
Research Article10.9734/jamcs/2021/v36i430354
Aims: • Develop and analyze a mathematical model of the effect of inpatient rehabilitation of tobacco smokers on tobacco smoking using Kenya as a case study. • Perform stability analysis on the smoking free equilibrium point and endemic equilibrium point of the model. • Use numer...
Open access
Research Article10.9734/jamcs/2021/v36i430352