closed mapping 中文意思是什麼
closed mapping
解釋
閉映射-
It is a main task of general topology to compare different spaces. mappings which connect different spaces are important tools to complete it. which mapping preserves some special generalized metric space is a basic probleme in investigating generalized metric spaces by mappings. g - first countable spaces and g - metri / able spaces have many important topological properities so to investigate which mapping preserves them is very necessary. in [ 7 ], clnian liu and mu - ming dai prove that open - closed mappings preserve g - metri / able spaces ; whether open mappings preserve g - first countable spaces is an open probleme asked by tanaka in [ 6 ]. in [ 4 ], sheng - xiang xia introduces weak opewn mappings and investigates the relations between them and 1 - sequence - covering mappings. in the second section of this article, we investigate weak open mappings have the relations with other mappings and prove that the finite - to - one weak open mappings preserve g - first countable, spaces and weak open closed mapping preserve g - metrizable spaces. in the third section, we investigate an example to show that perfect mappings do not preserve g - first countable spaces, g - metrizable spaces, sn - first countable spaces and sn - metrizable spaces
在文獻[ 4 ]中,夏省祥引進了弱開映射,並研究了它和1 -序列覆蓋映射的關系。本文在第二節研究了弱開映射與序列商映射,幾乎開映射的關系,證明了有限到一的弱開映射保持g -第一可數空間;弱開閉映射保持g -度量空間。第三節研究了文獻[ 5 ]中的一個例子,證明了完備映射不保持g -第一可數空間, g -度量空間, sn -第一可數空間, sn -度量空間。 -
The open mapping theorem and the closed graph theore
空間的開射定理及閉圖定理 -
The level - set method for open mapping theorem and closed graph theorem of menger spaces
空間的開射及閉圖定理 -
In order to apply the research results of this paper to the optimum design of computer for cpw, the analytical closed - from of expressions is the best choice. so conformal mapping theories are used to analyze cpw ' s by this paper. the optimum programming, the numerical inversion of conformal transformation and the numerical predictor - corrector method have been utilized to calculate the characteristic parameters and field patterns of cpw ' s
為了使本論文的研究成果便於應用於共面波導的計算機優化設計中,最好方法是得到封閉的解析表達式,所以本論文採用了保角變換理論宋分析非對稱共面波導,並且應用了優化計算方法、保角變換反演技術和數值預測糾正演算法對各種非對稱共面波導的特性以及場結構進行求解。 -
By the methods of conformal mapping, the closed - form analytical expressions for characteristic impedance per unit length and relative effective dielectric permittivity are deduced for the three asymmetric cpw ' s, and the analytical expressions of the electric field for asymmetric cpw with conductor backing is derived
根據本文所提出的模型,推導出了三種結構參數的具體特例,並給出了這些特例的特性阻抗、有效介電常數解析表達式。門)給出了分析有限介質基片厚度非對稱共面波導導體損耗的方法,並推導出其解析表達式。
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