In the context of educational informatization reform,there are many uncertain factors in the process of education development.To optimize the educational environment so that it can be effectively combined with informa...In the context of educational informatization reform,there are many uncertain factors in the process of education development.To optimize the educational environment so that it can be effectively combined with information technology,teachers need to change their teaching ideas,strengthen the school’s own adaptability to informatization,and promote the development of informatization construction in schools.As a branch of information leadership,the management team should establish an evaluation index system for information leadership in order to ensure the construction of school informatization,so as to provide a boost for the integration of school resources and information technology.Based on the overview and connotation of information-based leadership of the management team,this paper explores the construction of an evaluation index system of information-based leadership of the school management team,aiming to provide references for the research of relevant personnel in the future.展开更多
Taking the knowledge points of hotel construction site selection as an example,this paper integrated the information-based teaching method with traditional classrooms.With the aid of virtual reality(VR)technology,the ...Taking the knowledge points of hotel construction site selection as an example,this paper integrated the information-based teaching method with traditional classrooms.With the aid of virtual reality(VR)technology,the information-based teaching can turn the abstract knowledge into vivid knowledge.Using the Rain Classroom platform,teachers can communicate with students in a better manner.Combined with the powerful spatial data analysis function of geographic information system(GIS)software,it is intended to provide new ideas and perspectives for the effective integration of traditional teaching classrooms and information technology,and effectively apply them to the practical teaching process.展开更多
The Bermudan option pricing problem with variable transaction costs is considered for a risky asset whose price process is derived under the information-based model. The price is formulated as the value function of an...The Bermudan option pricing problem with variable transaction costs is considered for a risky asset whose price process is derived under the information-based model. The price is formulated as the value function of an optimal stopping problem, which is the value function of a stochastic control problem given by a non-linear second order partial differential equation. The theory of viscosity solutions is applied to solve the stochastic control problem such that the value function is also the solution of the corresponding Bellman equation. Under some regularity assumptions, the existence and uniqueness of the solution of the pricing equation are derived by the application of the Perron method and Banach Fixed Point theorem.展开更多
This paper deals with the parallel information-based complexity of numerical integration on Sobolev class. We obtain tight bounds on the complexity, considered as a function of two variables simultaneously:the number ...This paper deals with the parallel information-based complexity of numerical integration on Sobolev class. We obtain tight bounds on the complexity, considered as a function of two variables simultaneously:the number of processors, the rquired precision. This result seems to be new even in serial case.展开更多
The authors study the tractability and strong tractability of a multivariate integration problem in the worst case setting for weighted 1-periodic continuous functions spaces of d coordinates with absolutely convergen...The authors study the tractability and strong tractability of a multivariate integration problem in the worst case setting for weighted 1-periodic continuous functions spaces of d coordinates with absolutely convergent Fourier series. The authors reduce the initial error by a factor ε for functions from the unit ball of the weighted periodic continuous functions spaces. Tractability is the minimal number of function samples required to solve the problem in polynomial in ε^-1 and d, and the strong tractability is the presence of only a polynomial dependence in ε^-1. This problem has been recently studied for quasi-Monte Carlo quadrature rules, quadrature rules with non-negative coefficients, and rules for which all quadrature weights are arbitrary for weighted Korobov spaces of smooth periodic functions of d variables. The authors show that the tractability and strong tractability of a multivariate integration problem in worst case setting hold for the weighted periodic continuous functions spaces with absolutely convergent Fourier series under the same assumptions as in Ref,[14] on the weights of the Korobov space for quasi-Monte Carlo rules and rules for which all quadrature weights are non-negative. The arguments are not constructive.展开更多
文摘In the context of educational informatization reform,there are many uncertain factors in the process of education development.To optimize the educational environment so that it can be effectively combined with information technology,teachers need to change their teaching ideas,strengthen the school’s own adaptability to informatization,and promote the development of informatization construction in schools.As a branch of information leadership,the management team should establish an evaluation index system for information leadership in order to ensure the construction of school informatization,so as to provide a boost for the integration of school resources and information technology.Based on the overview and connotation of information-based leadership of the management team,this paper explores the construction of an evaluation index system of information-based leadership of the school management team,aiming to provide references for the research of relevant personnel in the future.
文摘Taking the knowledge points of hotel construction site selection as an example,this paper integrated the information-based teaching method with traditional classrooms.With the aid of virtual reality(VR)technology,the information-based teaching can turn the abstract knowledge into vivid knowledge.Using the Rain Classroom platform,teachers can communicate with students in a better manner.Combined with the powerful spatial data analysis function of geographic information system(GIS)software,it is intended to provide new ideas and perspectives for the effective integration of traditional teaching classrooms and information technology,and effectively apply them to the practical teaching process.
文摘The Bermudan option pricing problem with variable transaction costs is considered for a risky asset whose price process is derived under the information-based model. The price is formulated as the value function of an optimal stopping problem, which is the value function of a stochastic control problem given by a non-linear second order partial differential equation. The theory of viscosity solutions is applied to solve the stochastic control problem such that the value function is also the solution of the corresponding Bellman equation. Under some regularity assumptions, the existence and uniqueness of the solution of the pricing equation are derived by the application of the Perron method and Banach Fixed Point theorem.
基金this work was supported by china State Major Key Project for Basic Researchers
文摘This paper deals with the parallel information-based complexity of numerical integration on Sobolev class. We obtain tight bounds on the complexity, considered as a function of two variables simultaneously:the number of processors, the rquired precision. This result seems to be new even in serial case.
基金Project supported by the National Natural Science Foundation of China(10671019)Research Fund for the Doctoral Program Higher Education(20050027007)Beijing Educational Committee(2002Kj112)
文摘The authors study the tractability and strong tractability of a multivariate integration problem in the worst case setting for weighted 1-periodic continuous functions spaces of d coordinates with absolutely convergent Fourier series. The authors reduce the initial error by a factor ε for functions from the unit ball of the weighted periodic continuous functions spaces. Tractability is the minimal number of function samples required to solve the problem in polynomial in ε^-1 and d, and the strong tractability is the presence of only a polynomial dependence in ε^-1. This problem has been recently studied for quasi-Monte Carlo quadrature rules, quadrature rules with non-negative coefficients, and rules for which all quadrature weights are arbitrary for weighted Korobov spaces of smooth periodic functions of d variables. The authors show that the tractability and strong tractability of a multivariate integration problem in worst case setting hold for the weighted periodic continuous functions spaces with absolutely convergent Fourier series under the same assumptions as in Ref,[14] on the weights of the Korobov space for quasi-Monte Carlo rules and rules for which all quadrature weights are non-negative. The arguments are not constructive.
