不连通空间

Bahrampour in 1999 as follows: A connected space is called a cut space if it ceases to be connected when any point of it is removed.

Bahrampour定义了一类新的拓扑空间—cut空间，即空间X是连通的，但去掉任意一点以后的子空间都是不连通的。

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

These issues are mostly difficult to solve according to the general study of mathematical models, but the Monte-carlo method is very convenient for calculating Multiple Integral of low dimension in regular domain of integration or complex range or even non-connected region.

这类问题绝大多数按数学的研究处理模式出发，都是难以解决的，而蒙特卡罗方法对计算高维空间中维数不很高且积分区域是规则的积分、以及复杂区间甚至不连通的区域上的积分都却是很方便的。

The result indicates the venting is not good because the hall of first, floor opens to the dooryard but the temperature in daytime is high only for about one hour and the environment is very comfortable in the traditional residence during other time.

结果表明，因民居的天井与一层堂屋连通成为耦合空间，且天井的高度与面积较小，致使风压和风速不大，导致通风效果不佳。

We establish an asymptotic Lipschitz homotopy invariance theorem for these K-homology groups and K-theory groups. We show that the asymptotic index maps are isomorphisms for the asymptotically scaleable spaces, which include Euclidean cones, simply connected complete Riemannian manifolds with nonpositive curvature.

我们证明了这些K-同调群和K-理论群具有渐近Lipschitz同伦不变性；对于渐近可标度的几何空间（包括欧氏锥、单连通非正曲率完备黎曼流形等），证明了渐近指标映射为同构。

In this paper the authors study proprieties of certain convolution operators on L and weighted BMO spaces,where G is a locally compact totally disconnected group with a suitable sequence of open compact subgroups.

本文主要讨论了定义在局部紧的全不连通群G上的一类卷积算子在加权L和BMO空间的性态。

The results prove that T*1 S-closed space and T2 S-closed space are identical and that the regular S-closed space and normal S-closed space are the same. Therefore, to make T*1 space X become the complete conditions of S-closed space is the X extremely unconnected H-closed space, while S-closed space X can be measured as the complete condition X of S-closed T1 normal (A1) space.

首先讨论了S-闭空间的分离性，证明T*1型的S-闭空间与T2型S-闭空间是相同的，正则的S-闭空间与正规的S-闭空间是相同的，从而得到要使T*1型空间X成为S-闭空间的充要条件是X为极不连通的H-闭空间， S-闭空间X可度量化的充要条件是X为S-闭的T1型正则(A1)空间。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。