度量空间,metric space
1)metric space度量空间
1.Iterative processes for generalized asymptotically non-expansive mapping in convexmetric space;度量空间中广义渐进非扩张映射Ishikawa迭代的收敛性问题
2.Discussion on the sets both open and close in themetric space;度量空间中既开又闭的集合探讨
3.Chain recurrent points and ω-limiting points inmetric space;度量空间中的链回归点与ω-极限点
英文短句/例句
1.Locally Separable Metric Spaces and Weaker Metric Topology Spaces;局部可分度量空间与弱度量拓扑空间
2.totally disconnected metric space完全不连通度量空间
3.M-Laplacian on Metric Space;度量空间上的m-Laplacian算子
4.Fixed Degree of Fuzzy Mapping in Fuzzy Metric Space;Fuzzy度量空间中Fuzzy映射的不动度
5.About Non-regular N-Spaces and Characterization of Metrizable Spaces in Terms of g-function;关于非正则的N-空间及度量空间的g-函数刻画
6.The Characterization of the Images on Metric Spaces and Mappings度量空间的象空间及其映射的相关刻画
7.Spaces of Uniformly Continuous Functions on Abstract Metric Spaces抽象度量空间上的一致连续函数空间(英文)
8.On CSS Spaces and K-CSS Spaces and the Union of Some Generalized Metric Spaces关于CSS空间与k-CSS空间及某些广义度量空间的并
9.Quasi-Metric Spaces and Their Applications in Control;非对称度量空间及其在控制中的应用
10.Generalize the Lipschitz condition to the metric space;Lipschitz条件在度量空间上的推广
11.metrizable uniform space可度量化的一致空间
12.metrizable locally convex space可度量化局部凸空间
13.pseudometrizable proximity space伪可度量化的邻近空间
14.pseudometrizable uniform space伪可度量化的一致空间
15.metrizable topological space可度量化的拓扑空间
16.pseudometrizable topological space伪可度量化拓扑空间
17.dual metric locally convex space对偶度量局部凸空间
18.empty volume, that decides the comfort levels inside a room.空量,即决定舒适程度一间房间内.
相关短句/例句
metric spaces度量空间
1.A rectifible property of sets inmetric spaces;关于度量空间中泛流的注记(英文)
2.In this paper,internal characterizations onthe compact-covering cs-pi images ofmetric spaces and the compact-covering cs images of locally separablemetric spacesare obtained.给出了度量空间的紧覆盖cs-π映象和局部可分度量空间的紧覆盖cs映象的内在刻画。
3.Internal Characterizations of CS?mapping images( Compact ? covering CS ? mapping images ) ofmetric spaces.分别建立了度量空间在CS 映射和紧复盖CS 映射下的象空间的特征 。
3)spatial measure空间度量
1.This paper gives a definition ofspatial measure on spatial data cube for multi-source data on "Digital City",and describes basic concept of aggregation onspatial measure,and explains aggregation process of pointspatial measure,linespatial measure,areaspatial measure by legend,and states basic aggregation principle ofspatial measure,and expresses foundatio.叙述了面向“数字城市”多源数据的空间数据立方体空间度量的基本定义;描述了空间度量的聚集概念,并结合具体的图例阐述了点状、线状、面状空间度量的聚集过程;解释了空间数据立方体维上钻、维下翻、维层次上钻、维层次下翻的空间度量聚集操作基本原理。
4)convex metric space凸度量空间
1.New Ishikawa iteration approximation with errors for asymptotically quasi-nonexpansive mappings inconvex metric space;凸度量空间中渐近拟非扩张映象新的带误差的Ishikawa迭代逼近
2.Convergence of Ishikawa type iterative sequence of asymptoticallyquasi-nonexpansive mappings inconvex metric space;凸度量空间中渐近拟非扩张映象的Ishikawa型迭代序列的收敛性
3.A fixed point existence theorem and a convergence theorem inconvex metric spaces;完备凸度量空间中不动点定理与收敛定理
5)convex metric spaces凸度量空间
1.Convergence of the ishikawa type iterative sequence for asymptotically quasi-nonexpansive mappings with errors inconvex metric spaces;凸度量空间中渐近拟非扩张映象具误差的Ishikawa型迭代序列的收敛性
2.In completeconvex metric spaces, we use Ishikawa iterative process to approximate common fixed point of quasi - contractive mapping pair.在完备凸度量空间中,运用广义的Ishikawa迭代序列列逼近拟压缩映射对的公共不动点。
3.In theconvex metric spaces,it is proved some sufficiency and necessary conditions for Ishikawa iterative sequences of asymptotically quasi-nonexpansive mappings to converge to fixed points.在凸度量空间内证明了Ishikawa迭代序列收敛于渐近拟非扩张映象不动点的若干充要条件。
6)Fuzzy metric spaceFuzzy度量空间
1.Some Fixed Point Theorems for Mapping of Expansions in Fuzzy Metric Spaces;Fuzzy度量空间扩张型映象的不动点定理
2.Based on the fuzzy destination, a kind of fuzzy metric space is introduced.给出一种fuzzy数的fuzzy距离,该距离是实数距离的一种推广,以它为基础,建立了一种新的fuzzy数的fuzzy度量空间,并讨论了该fuzzy度量空间(R,)中的点列的分析性质、完备性、拓扑性质和压缩映射的一些性质。
3.In this paper, we proved that Fuzzy number sequence convengence in [1] is equivalent to δ-convengence in [2]; then we showed that completeness of certainFuzzy metric space in the Fuzzy metric sense in [1]; Finally, Fixed point theorem for Fuzzy mapping inFuzzy metric space is proved.本文证明了文[1]定义的Fuzzy数序列收敛与文[2]定义的δ—收敛是等价的,指出文[1]中引入的Fuzzy度量空间是完备的,最后,给出了Fuzzy度量空间的Fuzzy映象不动点定理。
延伸阅读
度量空间度量空间metricspace具有度量的抽象空间,设X是一个集合,若有定义在X×X上的非负实值函数d,满足①d(x,y)≥0,d(x,y)=0x=y;②d(x,y)=d(y,x);③d(x,z)≤d(x,y)+d(y,z),则称(X,d)是度量空间,d称为距离或度量。这是最接近于欧几里得空间的抽象空间。利用度量可很自然地将欧几里得空间上点的邻域、开集、闭集,收敛序列以及连续映射等概念推广到一般度量空间,也能将一致连续的概念推广到度量空间。由于19世纪末集合论产生后,实变函数及泛函分析的发展,需要规定函数间的距离,因而抽象出度量、度量空间的概念,其创始人是M.R.弗雷歇。常见的度量空间有:n维欧几里得空间(Rn,d):Rn={(x1,…,xn)|xi∈R,i=1,2,…,n},d(x,y)=,其中x=(x1,x2,…,xn),y=(y1,y2,…,yn)。希尔伯特空间(l2;d):l2={(x1,x2,…,xn…),其中x=(x1,x2,…),y=(y1,y2,…)∈l2。函数空间(ρ[0,1],d):C[0,1]={f:f为[0,1]上的实值连续函数},对任意f,g∈C[0,1],d(f,g)=max{|f(x)-g(x)|}。x∈[0,1]对度量空间(X,d)可引进拓扑结构,即以包含开球B(x,r)={y∈X|d(x,y)<r}的集为邻域定义拓扑,称为d所诱导的拓扑。
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