目前,很多研究着眼于任意逻辑函数在Reed-Muller领域中的表达方式和SOP与规范Reed-Muller展开式之间,POS与Dual Form of Reed-Muller展开式之间进行转换。利用代数变换的方法揭示系数dj和bi之间的关系并进行化简,从而得到用于Reed-Mulle...目前,很多研究着眼于任意逻辑函数在Reed-Muller领域中的表达方式和SOP与规范Reed-Muller展开式之间,POS与Dual Form of Reed-Muller展开式之间进行转换。利用代数变换的方法揭示系数dj和bi之间的关系并进行化简,从而得到用于Reed-Muller与Dual Form of Reed-Muller展开式之间的、最为简洁的转换方法。展开更多
In this paper, we have studied the topology of some classical functional spaces. Among these spaces, there are standard spaces, spaces that can be metrizable and others that cannot be metrizable. But they are all topo...In this paper, we have studied the topology of some classical functional spaces. Among these spaces, there are standard spaces, spaces that can be metrizable and others that cannot be metrizable. But they are all topological vector spaces and it is in this context that we have chosen to present this work. We are interested in the topology of its spaces and in the topologies of their dual spaces. The first part, we presented the fundamental topological properties of topological vector spaces. The second part, we studied Frechet spaces and particularly the space S(R<sup>n</sup>) of functions of class C<sup>∞ </sup>on R<sup>n</sup> which are as well as all their rapidly decreasing partial derivatives. We have also studied its dual S'(Rn</sup>) the space of tempered distributions. The last part aims to define a topological structure on an increasing union of Frechet spaces called inductive limit of Frechet spaces. We study in particular the space D(Ω) of functions of class C<sup>∞</sup> with compact supports on Ω as well as its dual D' (Ω) the space distributions over the open set Ω.展开更多
Iterations in optimization and numerical simulation for the sheet metal forming process may lead to extensive computation. In addition, uncertainties in materials or processing parameters may have great influence on t...Iterations in optimization and numerical simulation for the sheet metal forming process may lead to extensive computation. In addition, uncertainties in materials or processing parameters may have great influence on the design quality. A six sigma optimization method is proposed, by combining the dual response surface method （DRSM） and six sigma philosophy, to save computation cost and improve reliability and robustness of parts. Using this method, statistical technology, including the design of experiment and analysis of variance, approximate model and six sigma philosophy are integrated together to achieve improved quality. Two sheet metal forming processes are provided as examples to illustrate the proposed method.展开更多
The low carbon dual phase structure was cold de formed first,then was tempered at 200 to 600℃.The variation in strength and ductility during tempering of the steel was investigated.It was found that a fter the de for...The low carbon dual phase structure was cold de formed first,then was tempered at 200 to 600℃.The variation in strength and ductility during tempering of the steel was investigated.It was found that a fter the de formed dual phase structure was tempered at 200 to 600℃, with the increase in the tempering temperature the tensile strength decreases rapidly;the lotal elongation remains constant at 200 to 500℃ but began to rise dramatically at a critical temperature between 500 and 600℃.However,when the non-deformed dual phase structure was tempered at the same temperature range,the tensile strength decreases and the total elongation increases continuously with the increase of temperature.It was demonstrated from TEM analysis that precipitating carbides density along the boundaries ofmartensite lath and the recrystallized grains are responsible for the tempering response ofthe de formed dual phase structure.展开更多
The task-based approach has been gaining more and more popularity in recent years. Unlike the traditional language teaching approach, which puts much emphasis on the teaching and learning of language forms and skills,...The task-based approach has been gaining more and more popularity in recent years. Unlike the traditional language teaching approach, which puts much emphasis on the teaching and learning of language forms and skills, it regards the language process as one of learning through doing, emphasizes the central role of meaning in language use and insists that students should learn more effectively if they are fully engaged in a language task. However, due to the lack of an appropriate language environment and limited time for English study, Chinese students may not make as much progress as expected in the unconscious internalization of authentic language by focusing primarily on meaning. In fact the meaning of a language can not be separated from its form. The accurate expression of meaning depends on the proper use of language form. Therefore, in the application of the taskbased approach, we should not neglect the study of language form. This paper analyses the causes for Chinese students' low spoken English proficiency, describes the theoretical foundation and actual practice of the task-based approach, discusses its implications for teaching oral English and makes some proposals for its appropriate application.展开更多
文摘目前,很多研究着眼于任意逻辑函数在Reed-Muller领域中的表达方式和SOP与规范Reed-Muller展开式之间,POS与Dual Form of Reed-Muller展开式之间进行转换。利用代数变换的方法揭示系数dj和bi之间的关系并进行化简,从而得到用于Reed-Muller与Dual Form of Reed-Muller展开式之间的、最为简洁的转换方法。
文摘In this paper, we have studied the topology of some classical functional spaces. Among these spaces, there are standard spaces, spaces that can be metrizable and others that cannot be metrizable. But they are all topological vector spaces and it is in this context that we have chosen to present this work. We are interested in the topology of its spaces and in the topologies of their dual spaces. The first part, we presented the fundamental topological properties of topological vector spaces. The second part, we studied Frechet spaces and particularly the space S(R<sup>n</sup>) of functions of class C<sup>∞ </sup>on R<sup>n</sup> which are as well as all their rapidly decreasing partial derivatives. We have also studied its dual S'(Rn</sup>) the space of tempered distributions. The last part aims to define a topological structure on an increasing union of Frechet spaces called inductive limit of Frechet spaces. We study in particular the space D(Ω) of functions of class C<sup>∞</sup> with compact supports on Ω as well as its dual D' (Ω) the space distributions over the open set Ω.
基金This project is supported by National Natural Science Foundation of China (No.50475020).
文摘Iterations in optimization and numerical simulation for the sheet metal forming process may lead to extensive computation. In addition, uncertainties in materials or processing parameters may have great influence on the design quality. A six sigma optimization method is proposed, by combining the dual response surface method （DRSM） and six sigma philosophy, to save computation cost and improve reliability and robustness of parts. Using this method, statistical technology, including the design of experiment and analysis of variance, approximate model and six sigma philosophy are integrated together to achieve improved quality. Two sheet metal forming processes are provided as examples to illustrate the proposed method.
文摘The low carbon dual phase structure was cold de formed first,then was tempered at 200 to 600℃.The variation in strength and ductility during tempering of the steel was investigated.It was found that a fter the de formed dual phase structure was tempered at 200 to 600℃, with the increase in the tempering temperature the tensile strength decreases rapidly;the lotal elongation remains constant at 200 to 500℃ but began to rise dramatically at a critical temperature between 500 and 600℃.However,when the non-deformed dual phase structure was tempered at the same temperature range,the tensile strength decreases and the total elongation increases continuously with the increase of temperature.It was demonstrated from TEM analysis that precipitating carbides density along the boundaries ofmartensite lath and the recrystallized grains are responsible for the tempering response ofthe de formed dual phase structure.
文摘The task-based approach has been gaining more and more popularity in recent years. Unlike the traditional language teaching approach, which puts much emphasis on the teaching and learning of language forms and skills, it regards the language process as one of learning through doing, emphasizes the central role of meaning in language use and insists that students should learn more effectively if they are fully engaged in a language task. However, due to the lack of an appropriate language environment and limited time for English study, Chinese students may not make as much progress as expected in the unconscious internalization of authentic language by focusing primarily on meaning. In fact the meaning of a language can not be separated from its form. The accurate expression of meaning depends on the proper use of language form. Therefore, in the application of the taskbased approach, we should not neglect the study of language form. This paper analyses the causes for Chinese students' low spoken English proficiency, describes the theoretical foundation and actual practice of the task-based approach, discusses its implications for teaching oral English and makes some proposals for its appropriate application.
