Since ancient times,China and Japan have had a close relationship in cultural exchanges,and there are words borrowed and influenced by each other in terms of words.Therefore,there are a large number of words in the la...Since ancient times,China and Japan have had a close relationship in cultural exchanges,and there are words borrowed and influenced by each other in terms of words.Therefore,there are a large number of words in the languages of China and Japan that are identical or similar in appearance,but differ in meaning or usage.As Learners of Japanese,it is necessary for us to make a comparative study of homomorphic words.This paper tries to analyze and discuss the characteristics and causes of homomorphic words based on the classification of homomorphic words from the perspective of lexicology.展开更多
Effective transportation systems lead to the efficient movement of goods and people, which significantly contribute to the quality of life in every society. In the heart of every economic and social development, there...Effective transportation systems lead to the efficient movement of goods and people, which significantly contribute to the quality of life in every society. In the heart of every economic and social development, there is always a transportation system. Mathematically the problem of modeling vehicle traffic flow can be solved at two main observation scales: The microscopic and the macroscopic levels. In the microscopic level, every vehicle is considered individually, and therefore, for every vehicle, we have an equation that is usually an ordinary differential equation (ODE). At a macroscopic level, we use from the dynamics models, where we have a system of partial differential equation, which involves variables such as density, speed, and flow rate of traffic stream with respect to time and space. Therefore, considering above content, this study has tried to compare solution of equation of macroscopic flow considering linear form (speed-density) and applying boundary condition that resulting to form solved is non-linear one-order partial differential equation (sharpy method) with non-linear assuming (speed and density) and consequently homographic nonlinear relation (speed-density). The recent case clearly gives more significant speeds than linear case of speed and density that can be a good scientific basis. In terms of safety for accidents and traffic signal, just as a reminder, but it is resulted of the reality that generally solutions of partial differential equations can have different forms. Therefore, the solution of partial differential equation (macroscopic flow) can have different answers and solutions so that all of these solutions apply in PDE (equation of macroscopic flow). Thus, under this condition, we can have solution of linear equation similar to greenberg or greenshield & android that are explained in logarithm and exponential function, but this article is based mostly on nonlinear solution of macroscopic equation, provided that existing nonlinear relationship between speed and density (homographic the second degree function). As mentioned above, as it gives more reliable and reasonable speeds than greenshield case, it will have more safety. This article has been provided in this field.展开更多
In this paper,we obtain the existence of non-planar circular homographic solutions and non-circular homographic solutions of the(2+N)-and(3+N)-body problems of the Lennard-Jones system.These results show the essential...In this paper,we obtain the existence of non-planar circular homographic solutions and non-circular homographic solutions of the(2+N)-and(3+N)-body problems of the Lennard-Jones system.These results show the essential difference between the Lennard-Jones potential and the Newton's potential of universal gravitation.展开更多
For n-body problems with quasihomogeneous potentials in Rk (2［n/2］≤k) we prove that the minimum of the Lagrangian action integral defined on the zero mean loop space is exactly the circles with center at the origi...For n-body problems with quasihomogeneous potentials in Rk (2［n/2］≤k) we prove that the minimum of the Lagrangian action integral defined on the zero mean loop space is exactly the circles with center at the origin and the configuration of the n-bodies is always a regular n-1 simplex with fixed side length.展开更多
文摘Since ancient times,China and Japan have had a close relationship in cultural exchanges,and there are words borrowed and influenced by each other in terms of words.Therefore,there are a large number of words in the languages of China and Japan that are identical or similar in appearance,but differ in meaning or usage.As Learners of Japanese,it is necessary for us to make a comparative study of homomorphic words.This paper tries to analyze and discuss the characteristics and causes of homomorphic words based on the classification of homomorphic words from the perspective of lexicology.
文摘Effective transportation systems lead to the efficient movement of goods and people, which significantly contribute to the quality of life in every society. In the heart of every economic and social development, there is always a transportation system. Mathematically the problem of modeling vehicle traffic flow can be solved at two main observation scales: The microscopic and the macroscopic levels. In the microscopic level, every vehicle is considered individually, and therefore, for every vehicle, we have an equation that is usually an ordinary differential equation (ODE). At a macroscopic level, we use from the dynamics models, where we have a system of partial differential equation, which involves variables such as density, speed, and flow rate of traffic stream with respect to time and space. Therefore, considering above content, this study has tried to compare solution of equation of macroscopic flow considering linear form (speed-density) and applying boundary condition that resulting to form solved is non-linear one-order partial differential equation (sharpy method) with non-linear assuming (speed and density) and consequently homographic nonlinear relation (speed-density). The recent case clearly gives more significant speeds than linear case of speed and density that can be a good scientific basis. In terms of safety for accidents and traffic signal, just as a reminder, but it is resulted of the reality that generally solutions of partial differential equations can have different forms. Therefore, the solution of partial differential equation (macroscopic flow) can have different answers and solutions so that all of these solutions apply in PDE (equation of macroscopic flow). Thus, under this condition, we can have solution of linear equation similar to greenberg or greenshield & android that are explained in logarithm and exponential function, but this article is based mostly on nonlinear solution of macroscopic equation, provided that existing nonlinear relationship between speed and density (homographic the second degree function). As mentioned above, as it gives more reliable and reasonable speeds than greenshield case, it will have more safety. This article has been provided in this field.
基金This work was supported by the Key Project of National Natural Science Foundation of China under Grant No. 61332015 and the Natural Science Foundation of Shandong Province of China under Grant Nos. ZR2013FM302 and ZR2017MF057.
基金Partially supported by NSFC(Grant Nos.11131004 and 11671215)Sino-German(CSC-DAAD)Postdoc Scholarship Program(Grant Nos.201800260010 and 91696544)funded by China Scholarship Council and Deutscher Akademischer Austausch Dienst。
文摘In this paper,we obtain the existence of non-planar circular homographic solutions and non-circular homographic solutions of the(2+N)-and(3+N)-body problems of the Lennard-Jones system.These results show the essential difference between the Lennard-Jones potential and the Newton's potential of universal gravitation.
基金This work was supported by MSTC, the National Natural Science Foundation of China and QSSTF.
文摘For n-body problems with quasihomogeneous potentials in Rk (2［n/2］≤k) we prove that the minimum of the Lagrangian action integral defined on the zero mean loop space is exactly the circles with center at the origin and the configuration of the n-bodies is always a regular n-1 simplex with fixed side length.
