Many wave energy conversion devices have not been well received. The main reasons are that they are too complicated and not economical. However, in the last two decades direct conversion systems have drawn the attenti...Many wave energy conversion devices have not been well received. The main reasons are that they are too complicated and not economical. However, in the last two decades direct conversion systems have drawn the attention of researchers to their widely distributed energy source due to their simple structure and low cost. The most well-known direct conversion systems presently in use include the Archimedes Wave Swing (AWS) and Power Buoy (PB). In this paper, these two systems were simulated in the same conditions and their behaviors were studied in different wave conditions. In order to verify the simulations, results of the generator of the finite element computations were followed. An attempt was made to determine the merits and drawbacks of each method under different wave conditions by comparing the performance of the two systems. The wave conditions suitable for each system were specified.展开更多
For a special coupled Korteweg de Vries （KdV） system, its similarity solutions and reduction equations are obtained by the Clarkson and Kruskal＇s direct method. In addition, its new explicit soliton solutions and t...For a special coupled Korteweg de Vries （KdV） system, its similarity solutions and reduction equations are obtained by the Clarkson and Kruskal＇s direct method. In addition, its new explicit soliton solutions and traveling wave solutions are found by the deformation and mapping method.展开更多
This paper determined the existence of λ-fold pure Mendelsohn triple system of order v satisfying λv(v-1)≡0 (mod 3) and v≥4λ+5, or v=2λ+2, and in the case of λ=4,5,6,which completely settled their existence.
The hybrid lattice, known as a discrete Korteweg-de Vries (KdV) equation, is found to be a discrete modified Korteweg-de Vries (mKdV) equation in this paper. The coupled hybrid lattice, which is pointed to be a discre...The hybrid lattice, known as a discrete Korteweg-de Vries (KdV) equation, is found to be a discrete modified Korteweg-de Vries (mKdV) equation in this paper. The coupled hybrid lattice, which is pointed to be a discrete coupled KdV system, is also found to be discrete form of a coupled mKdV systems. Delayed differential reduction system and pure difference systems are derived from the coupled hybrid system by means of the symmetry reduction approach. Cnoidal wave, positon and negaton solutions for the coupled hybrid system are proposed.展开更多
Bayesianism is a theory of probabilistic reasoning that attempts to capture the logic of confirming and disconfirming hypotheses. I first argue that Bayesianism reveals striking parallels between structures universall...Bayesianism is a theory of probabilistic reasoning that attempts to capture the logic of confirming and disconfirming hypotheses. I first argue that Bayesianism reveals striking parallels between structures universally held as paradigms of rational belief systems and structures typically considered clear examples of irrational belief systems. I next explain that the crucial difference between these two types of belief systems is found not inside the systems but outside them, in the dynamics, i.e., the attitudes, by which such systems are revised and maintained. The principal attitude that distinguishes these belief systems is ＂open-mindedness.＂ I conclude that rationality and irrationality are primarily properties of attitudes, and derivatively of persons （who exhibit such attitudes） and of beliefs （that are maintained by such attitudes）. It turns out then that, on the one hand, the Bayesian approach reveals important truths about the nature of rationality and irrationality, but, on the other hand, it is inadequate as a theory of rationality, since it leaves some aspects of rationality and irrationality unaccounted for. The Bayesian analysis on the basis of which these conclusions are reached arises from a careful examination of the Duhem problem, which is the problem of determining the disconfirmation impact on the plausibility of hypotheses collectively responsible for a false observational consequence.展开更多
In this paper, a new completely integrable system related to the complex spectral problem -φ xx＋（i/4）wpx＋（i/4）（wp）x＋（1/4）vφ=iλφxand the constrained flows of the Boussinesq equations axe generated. Accor...In this paper, a new completely integrable system related to the complex spectral problem -φ xx＋（i/4）wpx＋（i/4）（wp）x＋（1/4）vφ=iλφxand the constrained flows of the Boussinesq equations axe generated. According to the viewpoint of Hamiltonian mechanics, the Euler-Lagrange equations and the Legendre transformations, a reasonable Jacobi-Ostrogradsky coordinate system is obtained. Moreover, by means of the constrained conditions between the potentiaJ u, v and the eigenfunction φ, the involutive representations of the solutions for the Boussinesq equation hieraxchy axe given.展开更多
This paper shows that the problem of minimizing a linear fractional function subject to asystem of sup-T equations with a continuous Archimedean triangular norm T can be reduced to a 0-1linear fractional optimization ...This paper shows that the problem of minimizing a linear fractional function subject to asystem of sup-T equations with a continuous Archimedean triangular norm T can be reduced to a 0-1linear fractional optimization problem in polynomial time.Consequently,parametrization techniques,e.g.,Dinkelbach's algorithm,can be applied by solving a classical set covering problem in each iteration.Similar reduction can also be performed on the sup-T equation constrained optimization problems withan objective function being monotone in each variable separately.This method could be extended aswell to the case in which the triangular norm is non-Archimedean.展开更多
文摘Many wave energy conversion devices have not been well received. The main reasons are that they are too complicated and not economical. However, in the last two decades direct conversion systems have drawn the attention of researchers to their widely distributed energy source due to their simple structure and low cost. The most well-known direct conversion systems presently in use include the Archimedes Wave Swing (AWS) and Power Buoy (PB). In this paper, these two systems were simulated in the same conditions and their behaviors were studied in different wave conditions. In order to verify the simulations, results of the generator of the finite element computations were followed. An attempt was made to determine the merits and drawbacks of each method under different wave conditions by comparing the performance of the two systems. The wave conditions suitable for each system were specified.
基金Supported by Natural Science Foundations of Jiangxi Province under Grant Nos. 2008GZS0045 and 2009GZW0026
文摘For a special coupled Korteweg de Vries （KdV） system, its similarity solutions and reduction equations are obtained by the Clarkson and Kruskal＇s direct method. In addition, its new explicit soliton solutions and traveling wave solutions are found by the deformation and mapping method.
文摘This paper determined the existence of λ-fold pure Mendelsohn triple system of order v satisfying λv(v-1)≡0 (mod 3) and v≥4λ+5, or v=2λ+2, and in the case of λ=4,5,6,which completely settled their existence.
基金Supported by the Natural Science Foundation of Guangdong Province of China under Grant No. 10452840301004616the National Natural Science Foundation of China under Grant No. 61001018the Scientific Research Foundation for the Doctors of University of Electronic Science and Technology of China Zhongshan Institute under Grant No. 408YKQ09
文摘The hybrid lattice, known as a discrete Korteweg-de Vries (KdV) equation, is found to be a discrete modified Korteweg-de Vries (mKdV) equation in this paper. The coupled hybrid lattice, which is pointed to be a discrete coupled KdV system, is also found to be discrete form of a coupled mKdV systems. Delayed differential reduction system and pure difference systems are derived from the coupled hybrid system by means of the symmetry reduction approach. Cnoidal wave, positon and negaton solutions for the coupled hybrid system are proposed.
文摘Bayesianism is a theory of probabilistic reasoning that attempts to capture the logic of confirming and disconfirming hypotheses. I first argue that Bayesianism reveals striking parallels between structures universally held as paradigms of rational belief systems and structures typically considered clear examples of irrational belief systems. I next explain that the crucial difference between these two types of belief systems is found not inside the systems but outside them, in the dynamics, i.e., the attitudes, by which such systems are revised and maintained. The principal attitude that distinguishes these belief systems is ＂open-mindedness.＂ I conclude that rationality and irrationality are primarily properties of attitudes, and derivatively of persons （who exhibit such attitudes） and of beliefs （that are maintained by such attitudes）. It turns out then that, on the one hand, the Bayesian approach reveals important truths about the nature of rationality and irrationality, but, on the other hand, it is inadequate as a theory of rationality, since it leaves some aspects of rationality and irrationality unaccounted for. The Bayesian analysis on the basis of which these conclusions are reached arises from a careful examination of the Duhem problem, which is the problem of determining the disconfirmation impact on the plausibility of hypotheses collectively responsible for a false observational consequence.
文摘In this paper, a new completely integrable system related to the complex spectral problem -φ xx＋（i/4）wpx＋（i/4）（wp）x＋（1/4）vφ=iλφxand the constrained flows of the Boussinesq equations axe generated. According to the viewpoint of Hamiltonian mechanics, the Euler-Lagrange equations and the Legendre transformations, a reasonable Jacobi-Ostrogradsky coordinate system is obtained. Moreover, by means of the constrained conditions between the potentiaJ u, v and the eigenfunction φ, the involutive representations of the solutions for the Boussinesq equation hieraxchy axe given.
基金supported by the National Science Foundation of the United States under Grant No. #DMI- 0553310
文摘This paper shows that the problem of minimizing a linear fractional function subject to asystem of sup-T equations with a continuous Archimedean triangular norm T can be reduced to a 0-1linear fractional optimization problem in polynomial time.Consequently,parametrization techniques,e.g.,Dinkelbach's algorithm,can be applied by solving a classical set covering problem in each iteration.Similar reduction can also be performed on the sup-T equation constrained optimization problems withan objective function being monotone in each variable separately.This method could be extended aswell to the case in which the triangular norm is non-Archimedean.
