A process represented by nonlinear multi-parametric binary dynamic system is investigated in this work. This process is characterized by the pseudo Boolean objective functional. Since the transfer functions on the pro...A process represented by nonlinear multi-parametric binary dynamic system is investigated in this work. This process is characterized by the pseudo Boolean objective functional. Since the transfer functions on the process are Boolean functions, the optimal control problem related to the process can be solved by relating between the transfer functions and the objective functional. An analogue of Bellman function for the optimal control problem mentioned is defined and consequently suitable Bellman equation is constructed.展开更多
In this paper we consider the linear equation a1p1 + a2p2 = n in prime variables pi and estimatethe numerical value of a relevant constant in the upper bound for small prime solutions of the above equationin terms of ...In this paper we consider the linear equation a1p1 + a2p2 = n in prime variables pi and estimatethe numerical value of a relevant constant in the upper bound for small prime solutions of the above equationin terms of max ai.展开更多
The approach recently proposed by Liu and Qu was extended to correlate excess enthalpies of highly asymmetric binary systems.In this approach,FRKS equation of state was used, and Lij（T,x）function was applied in plac...The approach recently proposed by Liu and Qu was extended to correlate excess enthalpies of highly asymmetric binary systems.In this approach,FRKS equation of state was used, and Lij（T,x）function was applied in place of single value of the binary interaction parameter Lij.Twenty four binary systems,including benzene -(C11～C17)lakane,benzene -methyl naphthalene,xylene-（C3～C8）al-cohol,l-Hepetanol-（C6～C9）alkane,methanol,ethanol-chlorobenzene,were selected to do the test.For most of these binary systems, no equation of state method has been found accurate.The results obtained show that this method can improve significantly the correlation of excess enthalpies for highly asymmetric binary systems.The calculated excess enthalpies for most of the selected systems are in good agreement with experimental data.展开更多
With the aid of binary Bell polynomial and a general Riemann theta function, we introduce how to obtain the exact periodic wave solutions by applying the generalized Dpˉ-operators in term of the Hirota direct method ...With the aid of binary Bell polynomial and a general Riemann theta function, we introduce how to obtain the exact periodic wave solutions by applying the generalized Dpˉ-operators in term of the Hirota direct method when the appropriate value of pˉ is determined. Furthermore, the resulting approach is applied to solve the extended(2+1)-dimensional Shallow Water Wave equation, and the periodic wave solution is obtained and reduced to soliton solution via asymptotic analysis.展开更多
文摘A process represented by nonlinear multi-parametric binary dynamic system is investigated in this work. This process is characterized by the pseudo Boolean objective functional. Since the transfer functions on the process are Boolean functions, the optimal control problem related to the process can be solved by relating between the transfer functions and the objective functional. An analogue of Bellman function for the optimal control problem mentioned is defined and consequently suitable Bellman equation is constructed.
基金This work was supported by the National Natural Science Foundation of China(Grant No. 19971051) the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institution of MOE, China.
文摘In this paper we consider the linear equation a1p1 + a2p2 = n in prime variables pi and estimatethe numerical value of a relevant constant in the upper bound for small prime solutions of the above equationin terms of max ai.
文摘The approach recently proposed by Liu and Qu was extended to correlate excess enthalpies of highly asymmetric binary systems.In this approach,FRKS equation of state was used, and Lij（T,x）function was applied in place of single value of the binary interaction parameter Lij.Twenty four binary systems,including benzene -(C11～C17)lakane,benzene -methyl naphthalene,xylene-（C3～C8）al-cohol,l-Hepetanol-（C6～C9）alkane,methanol,ethanol-chlorobenzene,were selected to do the test.For most of these binary systems, no equation of state method has been found accurate.The results obtained show that this method can improve significantly the correlation of excess enthalpies for highly asymmetric binary systems.The calculated excess enthalpies for most of the selected systems are in good agreement with experimental data.
基金Supported by Shandong Provincial Key Laboratory of Marine Ecology and Environment&Disaster Prevention and Mitigation project under Grant No.2012010National Natural Science Foundation of China under Grant No.11271007+1 种基金Special Funds for Theoretical Physics of the National Natural Science Foundation of China under Grant No.11447205Shandong University of Science and Technology Research Fund under Grant No.2012KYTD105
文摘With the aid of binary Bell polynomial and a general Riemann theta function, we introduce how to obtain the exact periodic wave solutions by applying the generalized Dpˉ-operators in term of the Hirota direct method when the appropriate value of pˉ is determined. Furthermore, the resulting approach is applied to solve the extended(2+1)-dimensional Shallow Water Wave equation, and the periodic wave solution is obtained and reduced to soliton solution via asymptotic analysis.
