单词simply connected
un.: 单连通的
单连通的
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。
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。
In this example, mathematicians would say that the surface of the apple is "simply connected" .
在这个例子里，数学家就称这个苹果的表面是“单连通（simplyconnected）”的。
Just push it a little bit. So, in fact, this is simply connected. That was a trick question.
仅仅是稍微推挤一下，事实上，这是单连通的，这是一个很难回答的问题。
Spacetime also appears to have a simply connected topology, at least on the length-scale of the observable universe.
时空似乎也有一个简单连接的拓扑结构，至少的长度，规模之大可见的宇宙。
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。
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。
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？
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。
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。