Journal of Mathematics Research, Issue: Vol.10, No.5JMRThu, 18 Oct 2018 13:10:45 +0000Zend_Feed_Writer 2 (http://framework.zend.com)
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jmr@ccsenet.org (Journal of Mathematics Research)Journal of Mathematics ResearchDistribution of the Largest Strong Goldbach Numbers Generated by PrimesUsing the first 4000000 primes to find L_{n}, the largest strong Goldbach number generated by the n-th prime P_{n}, we generalize a proposition in our previous work (Zhou 2017) and propose that L_{n} ≈ 2P_{n} and L_{n}/2P_{n} < 1 for sufficiently large P_{n} but the limit of L_{n}/2P_{n} as n → ∞ is 1, L_{n} ≈ P_{n} + n log n and L_{n}/(P_{n} + n log n) > 1 for sufficiently large P_{n} but the limit of L_{n}/(P_{n} + n log n) as n → ∞ is 1. There are five corollaries of the generalized proposition for getting L_{n} → ∞ as n → ∞, which is equivalent to Goldbach’s conjecture. If every step in distribution curve of L_{n} is called a Goldbach step, a study on the ratio of width to height for Goldbach steps supports the existence of above two limits but a study on distribution of Goldbach steps supports an estimation that Q(n) ≈ (1 + 1/log log n)n/log n and the limit of Q(n)/((1 + 1/log log n)n/log n) as n → ∞ is 1, where Q(n) is the number of Goldbach steps, from which we may expect there are infinitely many Goldbach steps to imply Goldbach’s conjecture.]]>Thu, 09 Aug 2018 02:11:07 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/75487
http://www.ccsenet.org/journal/index.php/jmr/article/view/75487pingyuanzhou49@163.com (Pingyuan Zhou)Pingyuan Zhou0Multi-factor Stock Selection Model Based on Kernel Support Vector MachineIn recent years, the combination of machine learning method and traditional financial investment field has become a hotspot in academic and industry. This paper takes CSI 300 and CSI 500 stocks as the research objects. First, this paper carries out kernel function test and parameter optimization for the kernel support vector machine system, and then predict and optimize the combination of market-neutral stock selection strategy and stock right strategy. The results of the experiment show that the multi-factor model based on SVM has a strong predictive power for the selection of stock, and it has a difference in the predictive power of different nuclear functions.]]>Sat, 29 Sep 2018 03:25:09 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/76203
http://www.ccsenet.org/journal/index.php/jmr/article/view/762031813012994@qq.com (Ru Zhang)Ru Zhang0Simulation of the Effect of Oil Volume Fractions in an Oil-Water Flows Along a Circular Pipe: A Finite Element ApproachTwo phase flows in pipelines are very common in industries for the oil transportations. The aim of our work is to observe the effect of oil volume fraction in the oil in water two phase flows. The study has been accomplished using a computational model which is based on a Finite Element Method (FEM) named Galerkin approximation. The velocity profiles and volume fractions are performed by numerical simulations and we have considered the COMSOL Multiphysics Software version 4.2a for our simulation. The computational domain is 8m in length and 0.05m in radius. The results show that the velocity of the mixture decreases as the oil volume fraction increases. It should be noted that if we gradually increase the volume fractions of oil, the fluid velocity also changes and the saturated level of the volume fraction is 22.3%.]]>Fri, 28 Sep 2018 08:49:46 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/76418
http://www.ccsenet.org/journal/index.php/jmr/article/view/76418ferdusee2008@gmail.com (Ferdusee Akter)Ferdusee Akter0Developable or Not Related to Information LossFri, 28 Sep 2018 08:57:35 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/76552
http://www.ccsenet.org/journal/index.php/jmr/article/view/76552williamwschen@gmail.com (William Chen)William Chen0An Algorithm for Solving Nonlinear Equations Using DistributionsFri, 28 Sep 2018 08:59:45 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/76759
http://www.ccsenet.org/journal/index.php/jmr/article/view/76759houssam.houssein@centraliens.net (Houssam Houssein)Houssam Houssein0Analytic Formulas to Calculate Symmetric Brothers of a Node in a Perfect Binary TreeFri, 28 Sep 2018 09:04:31 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/76760
http://www.ccsenet.org/journal/index.php/jmr/article/view/76760153668@qq.com (Xingbo WANG)Xingbo WANG0The Exponential Attractor for a Class of Nonlinear Coupled Kirchhoff Equations with Strong Linear DampingThis paper investigates the dynamics for a class of nonlinear higher-order coupled Kirchhoff equations with strong linear damping. By means of the method proposed by Eden et al., the Lipschitz continuity and the discrete squeezing property of its solution semigroup are proved, and thus the existence of the exponential attractor is obtained.]]>Fri, 28 Sep 2018 09:07:07 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/76761
http://www.ccsenet.org/journal/index.php/jmr/article/view/7676115925159599@163.com (Guoguang Lin)Guoguang Lin0A New Method for Optimal Solutions of Transportation Problems in LPPThe several standard and the existing proposed methods for optimality of transportation problems in linear programming problem are available. In this paper, we considered all standard and existing proposed methods and then we proposed a new method for optimal solution of transportation problems. The most attractive feature of this method is that it requires very simple arithmetical and logical calculation, that’s why it is very easy even for layman to understand and use. Some limitations and recommendations of future works are also mentioned of the proposed method. Several numerical examples have been illustrated, those gives the clear idea about the method. A programming code for this method has been written in Appendix of the paper.]]>Fri, 28 Sep 2018 09:16:18 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/76763
http://www.ccsenet.org/journal/index.php/jmr/article/view/76763drhanifmuradnstu@yahoo.com (Muhammad Hanif)Muhammad Hanif0Solutions to Four-Letter Words in MathematicsBy trial and error, and observing patterns in existing mathematics, we built our own unorthodox notation to solve mathematical challenges having no known solutions. The imaginary number \textit{i} is real. We determined the significance and applicability of unbalanced equations such as one "equal" to zero, and one "equal" to negative one, solved for multiplications and divisions by zero. Computing coefficients from general solutions with initial conditions turns homogeneous equations into non-homogeneous ones. We computed coefficients from general solutions using periods from their own equations instead of initial conditions. Homogeneous linear second-order equations with real roots have companions with "imaginary" roots, and double-roots. We solved for logarithms having negative arguments, negative bases, or both without the absolute-value notation. The roots of homogeneous linear equations are the frequencies of their signals. Roots/frequencies and periods from linear homogeneous equations are related to electronics. The speed of light is not a limiting factor in special relativity.]]>Tue, 11 Sep 2018 09:10:25 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/36773
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/367730The Riemann Hypothesis and Its ProofMon, 10 Sep 2018 05:36:46 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/36774
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/367740Numerical Blow-up for A Heat Equation with Nonlinear Boundary ConditionsMon, 17 Sep 2018 03:00:30 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/36775
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/367750Study of Samuelson’s General Model of National Economy and Definition of Asymptotic-Stability ConditionsIn this particular paper we firstly deal with Samuelson’s model of national economy. We create a difference equation which reflects Samuelson’s model for the national income of a country taking into consideration the expenditure and the investments of the two previous years and not only the immediately previous one. Later we find the saddle-point and deal with its stability giving conditions concerning the coefficient of the difference equation and which are able (sufficient) and necessary in order for the saddle-point to be stable.]]>Thu, 06 Sep 2018 08:51:58 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/36776
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/367760Modeling Optimal Control of Cholera Disease Under the Interventions of Vaccination, Treatment and Education AwarenessCholera is virulent disease that affects both children and adults and can kill within hours. It has long been, and continues to be, a global threat to public health regardless of the advancement of medical science and health care service available. In this paper we formulate and analyze a mathematical model of the dynamics and optimal con- trol strategies for cholera epidemic. We present and analyze a cholera model with controls: u1 for vaccination of the human population, u2 for treatment and u3 for health education campaigns. The basic reproductive number R0; the effective reproductive number Re; as well as disease free equilibrium and endemic equilibrium points are derived. We establish the conditions for optimal control of the cholera disease using the Pontryagin's maximum principle and simulate the model for different control strategies. The results show that vaccination and education campaigns should be applied from start of the epidemic in any community faced with cholera disease.]]>Tue, 11 Sep 2018 09:27:16 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/36848
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/368480Iteration of Holomorphic Function Systems on the Riemann SphereIn this work, it is shown that a set of holomorphic functions, normal in any set, remains normal in the same set under the action of another holomorphic function. And therefore, we verify that Julia's sets of two-function composition (no matter the order of composition) coincide, up to a rescaling.]]>Tue, 11 Sep 2018 09:48:02 +0000
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/36849
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/368490Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 10, No. 5Sat, 29 Sep 2018 02:23:20 +0000
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http://www.ccsenet.org/journal/index.php/jmr/article/view/0/369970