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
In the present research, a factorial ecological approach using factor analysis was employed to evaluate the dimensionality of the urban social structure of the twin city: Ramallah and Al-Bireh, West Bank, the Palestin...In the present research, a factorial ecological approach using factor analysis was employed to evaluate the dimensionality of the urban social structure of the twin city: Ramallah and Al-Bireh, West Bank, the Palestinian Authority. Through factor analysis, the 41 variables were reduced to four factors with an eigenvalue > 1.0. These factors explain 77.07 percent of the total variables used in the study. Factor I contributes 28.419% of the total variance proportion of input variables, labeled as “family, housing, and public spaces factor”. Factor II accounts for 19.57% of the variance proportion, designated as” housing and urban public spaces”. Factor III is strongly correlated with variables referring to the characteristics of the head of the family, and the availability of public spaces, and thus, is designated as “head of the family and public spaces”. It explains 16.68% of the total variance. Finally, factor IV explains 12.406% of variance proportion, and is strongly associated with variables pertaining to a lack of public social spaces. Consequently, factor IV is termed “lack of public spaces”. The spatial distribution of factor scores related to factors I to IV was mapped using Arc GIS in order to analyze the spatial patterns of the recognized four factors. It is worth noting the factor IV, which refers to the lack of urban social space and, urban public space, which persists in the twin city, and will continue to persist in the future. The lack of urban open space and public social spaces is closely connected to migration, emerged housing pattern, and family status dimensions focused on factors I to III, continuous confiscation of the Palestinian lands, and the construction of Israeli settlements. Currently, the twin city is extremely overcrowded with stone/concrete buildings at the expense of public space which has declined continuously over the last three decades. Nevertheless, the analyzed spatial pattern of factor scores indicated the homogeneous character of the urban society of the twi展开更多
The feasibility of city living with nature as a way to restore the balance between human uses and natural processes is the focus of this paper about the city of Maringa in Southern Brazil. This urban form, a planned n...The feasibility of city living with nature as a way to restore the balance between human uses and natural processes is the focus of this paper about the city of Maringa in Southern Brazil. This urban form, a planned new town founded in 1947 upon a previous, comprehensive British land-development scheme, originally offered a friendly interaction between urban settlement and nature. Hence, this paper outlines how open spaces can be enhanced as an ecological structure, bringing parks, squares, gardens and urban farming into a productive system, both for nature＇s and for people＇s sakes. Following a morphological study, the proposed ecological structure will maintain ecological processes within the urban grid and help to preserve historical and social values, by linking a wide variety of natural and restored ecosystems and landscape features. The adoption of this kind of ecological planning will certainly result in an increase of the urban landscape quality, changing actual planning paradigm and preventing the city from environmental quality decrease.展开更多
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.
文摘In the present research, a factorial ecological approach using factor analysis was employed to evaluate the dimensionality of the urban social structure of the twin city: Ramallah and Al-Bireh, West Bank, the Palestinian Authority. Through factor analysis, the 41 variables were reduced to four factors with an eigenvalue > 1.0. These factors explain 77.07 percent of the total variables used in the study. Factor I contributes 28.419% of the total variance proportion of input variables, labeled as “family, housing, and public spaces factor”. Factor II accounts for 19.57% of the variance proportion, designated as” housing and urban public spaces”. Factor III is strongly correlated with variables referring to the characteristics of the head of the family, and the availability of public spaces, and thus, is designated as “head of the family and public spaces”. It explains 16.68% of the total variance. Finally, factor IV explains 12.406% of variance proportion, and is strongly associated with variables pertaining to a lack of public social spaces. Consequently, factor IV is termed “lack of public spaces”. The spatial distribution of factor scores related to factors I to IV was mapped using Arc GIS in order to analyze the spatial patterns of the recognized four factors. It is worth noting the factor IV, which refers to the lack of urban social space and, urban public space, which persists in the twin city, and will continue to persist in the future. The lack of urban open space and public social spaces is closely connected to migration, emerged housing pattern, and family status dimensions focused on factors I to III, continuous confiscation of the Palestinian lands, and the construction of Israeli settlements. Currently, the twin city is extremely overcrowded with stone/concrete buildings at the expense of public space which has declined continuously over the last three decades. Nevertheless, the analyzed spatial pattern of factor scores indicated the homogeneous character of the urban society of the twi
文摘The feasibility of city living with nature as a way to restore the balance between human uses and natural processes is the focus of this paper about the city of Maringa in Southern Brazil. This urban form, a planned new town founded in 1947 upon a previous, comprehensive British land-development scheme, originally offered a friendly interaction between urban settlement and nature. Hence, this paper outlines how open spaces can be enhanced as an ecological structure, bringing parks, squares, gardens and urban farming into a productive system, both for nature＇s and for people＇s sakes. Following a morphological study, the proposed ecological structure will maintain ecological processes within the urban grid and help to preserve historical and social values, by linking a wide variety of natural and restored ecosystems and landscape features. The adoption of this kind of ecological planning will certainly result in an increase of the urban landscape quality, changing actual planning paradigm and preventing the city from environmental quality decrease.
