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单连通

网络simply connected; simply connected space; Singly connected

单连通

单连通

单连通

simply connected

单连通(Simply connected)。一个道路连通空间，如果所有的 loop 都和常数映射同伦，则称它是简单连通空间。

simply connected space

什么意思_英语simply... ... simply connected spaces 单连通空间 simply connected space [数] 单连通 ; [数] 单连通空间 ...

Singly connected

什么意思_英语singly在线翻译... ... singly refractive 单折射的 Singly connected 单连通 singly charged 单核 ; 单电荷的 ...

Simply-connected set

什么意思_英语simply... ... simply connected region [数] 单连通区域 Simply-connected set 单连通 simply-connected 单连通的 ...

1

In this example , the surface is not simply connected and any smoothed-out object looks like a torus with at least one hole .

在这个例子里，圈饼表面就是非单连通的，并且这类物体的简化就会像是至少有一个洞的曲面。

2

Any object with a simply connected surface can be smoothed out to look like a sphere .

任何具有单连通表面的物体都能简化成一个球体。

4

5

Let's not worry too much about it . For accuracy we need our vector field to be defined in a simply connected region.

对于它，不用太担心，为了精确起见，需要向量场定义在一个单连通区域中。

6

OK, so that's the definition of the surface of a sphere being simply connected .

这就是球面上，对单连通的定义。

7

OK, so space with the origin removed, OK, you think it 's simply connected ?

全空间去掉原点，它是单连通的吗？

8

Finally , we classify the twisted conjugate actions of simply connected complex simple Lie groups associated with complex automorphisms.

最后，我们对单连通复单李群相关于复自同构的扭共轭作用进行了初步分类。

9

So, that's one way to check just for sure that this thing is not simply connected .

这是检验，该区域不是单连通的一种方法。

10

11

And, that's where the assumption of simply connected is useful .

在这里单连通的假设是有用的。

14

OK, so anyway , that's the customary warning about simply connected things.

总之，这是关于单连通的习惯性提醒。

15

Or, as we will see soon, in a simply connected region .

稍后我们会知道，在一个单连通区域上也可以。

16

S OK, so we can find S, a surface, S, that bounds C because the region is simply connected .

我们可以找到一个以 C 为边界的曲面，因为这个区域是单连通的。

17

Analytically Modeling of Complicated Boundary Simply-connected Region Conformal Mapping

复杂边界单连通域共形映射解析建模研究

18

Simple connectivity of the D -stability Domain and D-stability of polynomial families

D-稳定性区域的单连通性与多项式族的 D-稳定性

19

Non-simply Connected Compact Manifold with Nonnegative Curvature

具非负曲率的紧致非单连通流形

20

P -Harmonic maps for simply connected manifolds with nonpositive curvature

单连通非正曲率流形的 p-调和映照

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