Journal of Mathematics Research, Issue: Vol.12, No.6JMRTue, 26 Jan 2021 20:05:13 +0000Zend_Feed_Writer 2 (http://framework.zend.com)
http://www.ccsenet.org/journal/index.php/jmr
jmr@ccsenet.org (Journal of Mathematics Research)Journal of Mathematics ResearchMathematical Modelling of COVID-19 and Solving Riemann Hypothesis, Polignac's and Twin Prime Conjectures Using Novel Fic-Fac Ratio With Manifestations of Chaos-Fractal PhenomenaMon, 30 Nov 2020 01:24:26 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/43951
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/439510An Improved Secant Algorithm of Variable Order to Solve Nonlinear Equations Based on the Disassociation of Numerical Approximations and Iterative ProgressionWe propose an iterative method to evaluate the roots of nonlinear equations. This Secant-based technique approximates the derivatives of the function numerically through a constant discretization step h disassociated from the iterative progression. The algorithm is developed, implemented, and tested. Its order of convergence is found to be h-dependent. The results obtained corroborate the theoretical deductions and evidence its excellent behavior. For infinitesimal h-values, the algorithm accelerates the convergence of the Secant method to order 2 (the one of the Newton-Raphson method) with no need for analytic expression of derivatives (the advantage of the Secant method).]]>Mon, 30 Nov 2020 01:28:18 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/44066
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/440660Graded Modules as a Clean ComoduleThu, 12 Nov 2020 09:30:50 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/44165
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/441650Lp-Adaptive Estimation Under Partially Linear Constraint in Regression ModelWe study the problem of multivariate estimation in the nonparametric regression model with random design. We assume that the regression function to be estimated possesses partially linear structure, where parametric and nonparametric components are both unknown. Based on Goldenshulger and Lepski methodology, we propose estimation procedure that adapts to the smoothness of the nonparametric component, by selecting from a family of specific kernel estimators. We establish a global oracle inequality (under the Lp-norm, 1≤p＜1) and examine its performance over the anisotropic H¨older space.]]>Thu, 12 Nov 2020 09:02:03 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/44166
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/441660To the Question of Gauss’s Curvature in n-Dimensional Euclidian SpaceAn alternative way of calculating the Gauss curve of the surface in the Cartesian coordinates in a three-dimensional case has been proposed, and its generalization in the n- dimension case of measuring Euclidean space has been given.]]>Mon, 30 Nov 2020 01:32:25 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/44218
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/442180Global Analysis of SIRS Epidemic Model With General Incidence Function and Incomplete Recovery Rates Stochastical ModelIn this paper, deterministic and stochastic models are developped for a class of SIRS epidemic models. Firstly, The conditions for the existence, local and global stability of the disease-free equilibrium and endemic equilibrium are obtained. Secondly, we built the stochastic model. The populations are computationally simulated under various conditions. Comparisons are made between the deterministic and stochastic model.]]>Fri, 20 Nov 2020 06:10:27 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/44221
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/442210Linear k-power Preservers on Tensor Products of MatricesInvariants and the study of the map preserving a certain invariant play vital roles in the study of the theoretical mathematics. The preserver problems are the researches on linear operators that preserve certain invariants between matrix sets. Based on the result of linear $k$-power preservers on general matrix spaces, in terms of the advantages of matrix tensor products which is not limited by the size of matrices as well as the immense actual background, the study of the structure of the linear $k$-power preservers on tensor products of matrices is essential, which is coped with in this paper. That is to characterize a linear map $f:M_{m_{1}\cdots m_{l}}\rightarrow M_{m_{1}\cdots m_{l}}$ satisfying $f(X_{1}\otimes \cdots \otimes X_{l})^{k}=f\left( (X_{1}\otimes \cdots \otimes X_{l})^{k}\right) $ for all $X_{1}\otimes \cdots \otimes X_{l}\in M_{m_{1}\cdots m_{l}}$.]]>Mon, 30 Nov 2020 00:27:10 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/44292
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/442920Optimization of Energy in Wireless Sensor Networks by Connectivity and Scheduling of Sensor ActivityIn this article, we have addressed issues related to the optimization of the coverage and connectivity of a wireless sensor network by scheduling sensor activity with coverage and connectivity criteria. We presented a linear formulation of the coverage and connectivity that we solve with CPLEX. The results obtained show that sensor scheduling can improve the lifetime of a network by maintaining its coverage and connectivity.]]>Mon, 30 Nov 2020 00:52:49 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/44294
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/442940Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 12, No. 6Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 12, No. 6, 2020.]]>Mon, 30 Nov 2020 01:39:32 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/44297
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/442970