We present the continuous state vector of the total coordinate of multi-partlcle and the state vector of their total momentum, respectively, which possess completeness relation in multi-mode Fock space by virtue of th...We present the continuous state vector of the total coordinate of multi-partlcle and the state vector of their total momentum, respectively, which possess completeness relation in multi-mode Fock space by virtue of the integration within an order product （IWOP） technique. We also calculate the transition from classical transformation of variables in the states to quantum unitary operator, deduce a new multi-mode squeezing operator, and discuss its squeezing effect. In progress, it indicates that the IWOP technique provides a convenient way to construct new representation in quantum mechanics.展开更多
A knowledge representation has been proposed using the state space theory of Artificial Intelligence for Dynamic Programming Model, in which a model can be defined as a six tuple M=(I,G,O,T,D,S). A building block mode...A knowledge representation has been proposed using the state space theory of Artificial Intelligence for Dynamic Programming Model, in which a model can be defined as a six tuple M=(I,G,O,T,D,S). A building block modeling method uses the modules of a six tuple to form a rule based solution model. Moreover, a rule based system has been designed and set up to solve the Dynamic Programming Model. This knowledge based representation can be easily used to express symbolical knowledge and dynamic characteristics for Dynamic Programming Model, and the inference based on the knowledge in the process of solving Dynamic Programming Model can also be conveniently realized in computer.展开更多
一、引言近些年来,使用向量自回归(VAR)模型分析经济变量之间的关系已经非常时兴。但是,在现代控制理论、估计和修匀理论以及滤波理论所产生的许多问题中,VAR 模型还没有得到应用。这些理论中发展的大多数技术都涉及到状态空间表示法。...一、引言近些年来,使用向量自回归(VAR)模型分析经济变量之间的关系已经非常时兴。但是,在现代控制理论、估计和修匀理论以及滤波理论所产生的许多问题中,VAR 模型还没有得到应用。这些理论中发展的大多数技术都涉及到状态空间表示法。我们已经有一种方法,找到等价于 VAR 的状态空间表示法。经验告诉我们。展开更多
基金supported by the National Natural Science Foundation of China(11171147)the Natural Science Foundation of Jiangsu Province of China(BK2009222)by the Cultivation Fund of the Key Scientific and Technical Innovation Project,Ministry of Education of China(708044)
文摘We present the continuous state vector of the total coordinate of multi-partlcle and the state vector of their total momentum, respectively, which possess completeness relation in multi-mode Fock space by virtue of the integration within an order product （IWOP） technique. We also calculate the transition from classical transformation of variables in the states to quantum unitary operator, deduce a new multi-mode squeezing operator, and discuss its squeezing effect. In progress, it indicates that the IWOP technique provides a convenient way to construct new representation in quantum mechanics.
文摘A knowledge representation has been proposed using the state space theory of Artificial Intelligence for Dynamic Programming Model, in which a model can be defined as a six tuple M=(I,G,O,T,D,S). A building block modeling method uses the modules of a six tuple to form a rule based solution model. Moreover, a rule based system has been designed and set up to solve the Dynamic Programming Model. This knowledge based representation can be easily used to express symbolical knowledge and dynamic characteristics for Dynamic Programming Model, and the inference based on the knowledge in the process of solving Dynamic Programming Model can also be conveniently realized in computer.
文摘一、引言近些年来,使用向量自回归(VAR)模型分析经济变量之间的关系已经非常时兴。但是,在现代控制理论、估计和修匀理论以及滤波理论所产生的许多问题中,VAR 模型还没有得到应用。这些理论中发展的大多数技术都涉及到状态空间表示法。我们已经有一种方法,找到等价于 VAR 的状态空间表示法。经验告诉我们。
