1) uniformly local connectedness
一致局部连通
1.
We prove that for a metric space with uniformly local connectedness the Banach contraction principle is equivalent to the completeness.
本文揭示了Banach压缩映象原理与空间完备性的关系,证明了在具有一致局部连通性的距离空间中,压缩映象原理与空间完备性仍然等价。
2) uniformly locally sim-ply-connected
一致局部单连通
3) uniformly locally connected space
一致局部连通空间
4) Generalized uniform locally Q connected function
广义一致局部Q连通凸函数
5) Locally connected
局部连通
1.
Devoted to the study on the theory of H-connected space,which has been investigated by Jungck [1] in detail,we first give Jungck’s theorem another proof free from Whyburn [2] ,and then give another theorem in which“compact”hypothesis in Jungck’s theorem is replaced by the locally connected one.
其次对局部连通的H -连通空间得到了同样的定理 :有限个具有第一可数性质的局部连通的H -连通空间的乘积空间是H -连通空间 。
2.
It is proved that if G is conected, locally connected graph on at least three vertices such that the set of claw centers is independent, and if the subgraph induced by the neighbor of v is strong 2-dominated for any claw centre v , then G is fully cycle extendable.
设Ｇ是顶点数不少于３的连通、局部连通图。
3.
In this paper, we prove that if G is connected, locally connected graph on at least three vertices such that the set of claw centres B is independent, and if G-B is locally connected, then G is fully cycle extendable.
本文将证明：设Ｇ是顶点数≥３的连通、局部连通图，如果Ｇ的爪心集合Ｂ是点独立集，且Ｇ－Ｂ是局部连通的，则Ｇ是完全圈可扩的。
6) regional homogeneity
局部一致性
1.
Results:Compared with male controls,the male depressed patients showed increased ReHo(regional homogeneity)in right superior frontal gyrus,bilateral middle frontal gyrus,left precuneus,right dorsal anterior cingulate gyrus,le.
结果:男抑郁组较男对照组右额上回、双侧额中回、左楔前叶、右前扣带回背侧、左后扣带回、右海马旁回及右尾状核区域局部一致性增高(K值≥10,P<0。
2.
Objective:Using functional magnetic resonance imaging(fMRI)and regional homogeneity(ReHo)analysis,we explored differences of regional brain spontaneous activity in resting state in chronic depression vs healthy participants.
目的:通过功能磁共振和局部一致性的分析方法研究慢性抑郁症患者静息状态下脑活动特征,以探讨慢性抑郁症病理生理学特征和发病机理。
3.
Objective: To examine the relationship between regional homogeneity(ReHo)and separate symptom clusters of depression.
目的:探讨静息态下抑郁症患者脑局部一致性(regional homogeneity,ReHo)与抑郁症状群的关联。
补充资料：局部连通连续统
局部连通连续统
locally connected continuum
局部连通连续统【l优心y戊.脸的ed切“加.口.;加以几研。eaa3.诚.oT恤y外，」 一个连续统，它是局部连通空间(】以川ly coIL以戈IedsPace)，局部连通连续统的例子有n维立方体，n=O，l，…，1刃七鱿立方体(Hilbertcube)，和所有介-xo肋.立方体(T正honov CUbe)，函数 ，一sin上.0<二簇1. X的图象和区间I={(0，y):一1镬夕簇l}的并集给出了(在I的点上)不是局部连通的连续统的例子.可度量化连续统是局部连通的，当且仅当它是Jo攻恤n意义下的曲线(见线(曲线)(h茂(Cun尼))).任何可度量化局部连通连续统都是道路连通的(见道路连通空间(path一conn以众沮sPaCe)).此外，这种连续统K的任意不同两点都包含于K中一条简单弧上. B.A.nac‘HK佃撰白苏华、胡师度译
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条