simply connected信息详情
[数]单连通的
simply───adv.简单地;仅仅;简直;朴素地;坦白地
connected───adj.[计]连接的;有联系的;连贯的;v.连接(connect的过去式)
simply because───仅仅因为
simply love───单纯的爱
simply piano───简单的钢琴
hp connected───hp已连接
not simply───不单
simply stated───简单地说(stated是state的过去分词)
simply furnished───简易家具
Who thinks it's simply connected?───谁认为它是单连通的?
Who thinks it's not simply connected?───谁认为它不是单连通的?
we will see soon, in a simply connected region.───我们会知道,在一个单连通区域上也可以。
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。
Well, if you know that your vector field is defined everywhere in a simply connected region, then you don't have to worry about this question of, can I apply Green's theorem to the inside?
Or, as we will see soon, in a simply connected region.
OK, so, we've seen that if we have a vector field defined in a simply connected region, and its curl is zero, then it's a gradient field, and the line integral is path independent.
OK, so where do we use the assumption of being defined in a simply connected region?
Let's not worry too much about it. For accuracy we need our vector field to be defined in a simply connected region.
So, in fact, the actual optimal statement you can make is if a vector field is defined in a simply connected region, and its curl is zero, then it's a gradient field.
An algorithm is presented for converting the linear quadtree representation of a simply connected region into a 4-direction chain code description of the region's boundary.
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