Urban Agglomeration is an inevitable outcome of urbanization and industrialization, and a main form of urban development. Based on the analysis of urbanization and urban system situation, this paper will discuss the i...Urban Agglomeration is an inevitable outcome of urbanization and industrialization, and a main form of urban development. Based on the analysis of urbanization and urban system situation, this paper will discuss the integration of urban agglomeration development, using the urban area of Cheng (Chengdu)-Yu (Chongqing) Urban agglomeration (CYUA) as a case study. By means of industries, population and spatial integrations, the function, strength and competition of CYUA will be improved and this urban agglomeration will transit from a budding state to a growing and mature one in future. The sustainable development of CYUA will depend on countermeasures, such as accelerating industrialization and urbanization, building a traffic network and express roads, strengthening the ability of self-sufficiency, enlarging the ecological construction and environmental protection, and establishing the synergetic institution of cross districts.展开更多
The paper succeeds in the obtaining a class of generalized non-uniform Cantor set based on the iteration (1): Si(x) = αix + bi, x ∈ [0, 1], i = 1,2,…, m, where 0 〈 αi 〈 1, i = 1,2,…,m; bi + αi 〉 0, i =...The paper succeeds in the obtaining a class of generalized non-uniform Cantor set based on the iteration (1): Si(x) = αix + bi, x ∈ [0, 1], i = 1,2,…, m, where 0 〈 αi 〈 1, i = 1,2,…,m; bi + αi 〉 0, i = 1,2,…,m- 1, b1 = 0 and αm + bm = 1. Providing the sufficient and necessary conditions of its existence Hausdorff measure.展开更多
In this paper,a necessary and sufficient condition of a measure to be the product Borel probability measure on the product space of some compact metric spaces are given.
The optimality of a fuzzy logic alternative to the usual treatment of uncertainties in a scheduling system using fuzzy numbers is examined formally. Processing times and due dates are fuzzified and presented by fuzzy ...The optimality of a fuzzy logic alternative to the usual treatment of uncertainties in a scheduling system using fuzzy numbers is examined formally. Processing times and due dates are fuzzified and presented by fuzzy numbers. With introducing the necessity measure, we compare fuzzy completion times of jobs with fuzzy due dates to decide whether jobs are tardy. The object is to minimize the numbers of tardy jobs. The efficient solution method for this problem is proposed. And deterministic counterpart of this single machine scheduling problem is a special case of fuzzy version.展开更多
Recent years have witnessed a phenomenon in Chinese academia, which denies the inevitable connection between May Fourth New Literature and the New Culture Movement during the May Fourth Movement period, and often view...Recent years have witnessed a phenomenon in Chinese academia, which denies the inevitable connection between May Fourth New Literature and the New Culture Movement during the May Fourth Movement period, and often views fragments of civilization before the New Culture Movement as the real form of kernel culture of New Literature. In fact, the emergence of New Literature had to depend upon the intense and profound revolutionary movement of new culture, and the May Fourth New Culture Movement fostered a totally new literary form with its combined strength, and constituted the new ideological qualities of New Literature by recourse to the values of New Culture centered on democracy and science.展开更多
This paper is concerned with stability of a class of randomly switched systems of ordinary differential equations. The system under consideration can be viewed as a two-component process (X(t), α(t)), where the...This paper is concerned with stability of a class of randomly switched systems of ordinary differential equations. The system under consideration can be viewed as a two-component process (X(t), α(t)), where the system is linear in X(t) and α(t) is a continuous-time Markov chain with a finite state space. Conditions for almost surely exponential stability and instability are obtained. The conditions are based on the Lyapunov exponent, which in turn, depends on the associate invaxiant density. Concentrating on the case that the continuous component is two dimensional, using transformation techniques, differential equations satisfied by the invariant density associated with the Lyapunov exponent are derived. Conditions for existence and uniqueness of solutions are derived. Then numerical solutions are developed to solve the associated differential equations.展开更多
基金Funded by National Natural Science Foundation of China (40335049)
文摘Urban Agglomeration is an inevitable outcome of urbanization and industrialization, and a main form of urban development. Based on the analysis of urbanization and urban system situation, this paper will discuss the integration of urban agglomeration development, using the urban area of Cheng (Chengdu)-Yu (Chongqing) Urban agglomeration (CYUA) as a case study. By means of industries, population and spatial integrations, the function, strength and competition of CYUA will be improved and this urban agglomeration will transit from a budding state to a growing and mature one in future. The sustainable development of CYUA will depend on countermeasures, such as accelerating industrialization and urbanization, building a traffic network and express roads, strengthening the ability of self-sufficiency, enlarging the ecological construction and environmental protection, and establishing the synergetic institution of cross districts.
基金Supported by the Scientific Research of Hanshan Teacher's College(2004)
文摘The paper succeeds in the obtaining a class of generalized non-uniform Cantor set based on the iteration (1): Si(x) = αix + bi, x ∈ [0, 1], i = 1,2,…, m, where 0 〈 αi 〈 1, i = 1,2,…,m; bi + αi 〉 0, i = 1,2,…,m- 1, b1 = 0 and αm + bm = 1. Providing the sufficient and necessary conditions of its existence Hausdorff measure.
基金Supported by the NSF of China(10571063)Supported by the NSF of Guangdong Province(05006515)
文摘In this paper,a necessary and sufficient condition of a measure to be the product Borel probability measure on the product space of some compact metric spaces are given.
文摘The optimality of a fuzzy logic alternative to the usual treatment of uncertainties in a scheduling system using fuzzy numbers is examined formally. Processing times and due dates are fuzzified and presented by fuzzy numbers. With introducing the necessity measure, we compare fuzzy completion times of jobs with fuzzy due dates to decide whether jobs are tardy. The object is to minimize the numbers of tardy jobs. The efficient solution method for this problem is proposed. And deterministic counterpart of this single machine scheduling problem is a special case of fuzzy version.
文摘Recent years have witnessed a phenomenon in Chinese academia, which denies the inevitable connection between May Fourth New Literature and the New Culture Movement during the May Fourth Movement period, and often views fragments of civilization before the New Culture Movement as the real form of kernel culture of New Literature. In fact, the emergence of New Literature had to depend upon the intense and profound revolutionary movement of new culture, and the May Fourth New Culture Movement fostered a totally new literary form with its combined strength, and constituted the new ideological qualities of New Literature by recourse to the values of New Culture centered on democracy and science.
基金This research was supported in part by the National Science Foundation under Grant No. DMS-0907753, in part by the Air Force Office of Scientific Research under Grant No. FA9550-10-1-0210, and in part by the National Natural Science Foundation of China under Grant No. 70871055.
文摘This paper is concerned with stability of a class of randomly switched systems of ordinary differential equations. The system under consideration can be viewed as a two-component process (X(t), α(t)), where the system is linear in X(t) and α(t) is a continuous-time Markov chain with a finite state space. Conditions for almost surely exponential stability and instability are obtained. The conditions are based on the Lyapunov exponent, which in turn, depends on the associate invaxiant density. Concentrating on the case that the continuous component is two dimensional, using transformation techniques, differential equations satisfied by the invariant density associated with the Lyapunov exponent are derived. Conditions for existence and uniqueness of solutions are derived. Then numerical solutions are developed to solve the associated differential equations.