超度量空间的英文
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"超度量空间"怎么读用"超度量空间"造句
英文翻译手机版
- ultrametric space
- "超度"英文翻译 release souls from purgatory ...
- "量"英文翻译 measure capacity
- "空间"英文翻译 space; enclosure; room; blan ...
- "度量空间" 英文翻译 : measurement space; metric space
- "紧度量空间" 英文翻译 : compact metric space
- "拟度量空间" 英文翻译 : quasi metric space
- "凸度量空间" 英文翻译 : convex metric space
- "伪度量空间" 英文翻译 : pseudometric space
- "参见度量空间" 英文翻译 : feature space
- "度量向量空间" 英文翻译 : metric vector space
- "概率度量空间" 英文翻译 : probabilistic metric spaces
- "离散度量空间" 英文翻译 : discrete metric space
- "射影度量空间" 英文翻译 : projective metric space
- "完备度量空间" 英文翻译 : complete metric space
- "线性度量空间" 英文翻译 : linear metric space
- "有界度量空间" 英文翻译 : bounded metric space; metric space
- "诱导度量空间" 英文翻译 : induced metric space
- "准紧度量空间" 英文翻译 : precompact metric space
- "超度量" 英文翻译 : hypermetric
- "不连通度量空间" 英文翻译 : disconnected metric space
- "局部紧度量空间" 英文翻译 : locally compact metric space
- "密着伪度量空间" 英文翻译 : indiscrete pseudometric space
- "完备的度量空间" 英文翻译 : complete metric space
- "完全有界度量空间" 英文翻译 : totally bounded metric space; totally bounded metricspace
- "线性伪度量空间" 英文翻译 : linear pseudometric space
例句与用法
- The primary studies in this paper are the following : ( 1 ) we define a generalized alexandroff topology on an l - fuzzy quasi ordered set which is a generalization of the alexandroff topology on an ordinary quasi ordered set , prove that the generalized alexandroff topology on an l - quasi ordered set ( x , e ) can be obtained by the join of a family of the alexandroff topologies on it , a topology on any topological space can be represented as a generalized alexandroff topology on some l - quasi ordered set , and the generalized alexandroff topologies on l - fuzzy quasi ordered sets are generalizations of the generalized alexandroff topologies on generalized ultrametric spaces which are defined by j . j . m . m . rutten etc . ( 2 ) by introducing the concepts of the join of l - fuzzy set on an l - fuzzy partial ordered set with respect to the l - fuzzy partial order and l - fuzzy directed set on an l - fuzzy quasi ordered set ( with respect to the l - fuzzy quasi order ) , we define l - fuzzy directed - complete l - fuzzy partial ordered set ( or briefly , l - fuzzy dcpo or l - fuzzy domain ) and l - fuzzy scott continuous mapping , prove that they are respectively generalizations of ordinary dcpo and scott continuous mapping , when l is a completely distributive lattice with order - reversing involution , the category l - fdom of l - fuzzy domains and l - fuzzy scott continuous mappings is isomorphic to a special kind of the category of v - domains and scott continuous mappings , that is , the category l - dcqum of directed - complete l - quasi ultrametric spaces and scott continuous mappings , and when l is a completely distributive lattice in which 1 is a molecule , l - fuzzy domains and l - fuzzy scott continuous mappings are consistent to directed lim inf complete categories and lim inf co ntinuous mappings in [ 59 ]
本文主要工作是: ( 1 )在l - fuzzy拟序集上定义广义alexandroff拓扑,证明了它是通常拟序集上alexandroff拓扑的推广,一个l - fuzzy拟序集( x , e )上的广义alexandroff拓扑可以由其上一族alexandroff拓扑取并得到,任意一个拓扑空间的拓扑都可以表示为某个l - fuzzy拟序集上的广义alexandroff拓扑,以及l - fuzzy拟序集上的广义alexandroff拓扑是j . j . m . m . rutten等定义的广义超度量空间上广义alexandroff拓扑的推广。 ( 2 )通过引入l - fuzzy偏序集上的l - fuzzy集关于l - fuzzy偏序的并以及l - fuzzy拟序集上(关于l - fuzzy拟序)的l - fuzzy定向集等概念,定义了l - fuzzy定向完备的l - fuzzy偏序集(简称l - fuzzydcpo ,又叫l - fuzzydomain )和l - fuzzyscott连续映射,证明了它们分别是通常的dcpo和scott连续映射的推广,当l是带有逆序对合对应的完全分配格时,以l - fuzzydomain为对象, l - fuzzyscott连续映射为态射的范畴l - fdom同构于一类特殊的v - domain范畴,即以定向完备的l -值拟超度量空间为对象, scott连续映射为态射的范畴l - dcqum ,以及当l是1为分子的完全分配格时, l - fuzzydomain和l - fuzzyscott连续映射一致于k . wagner在[ 59 ]中定义的定向liminf完备的-范畴和liminf连续映射。
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