topological manifold meaning in English

拓扑廖
拓扑流形

All of these material entities spring at their point of origin from the same source as the topological manifold of space , that is , from a higher spatial dimension
所有这些物质实体从同一来源回到原点如同空间的拓扑流行,也就是说,来自更高的空间维度。
In the framework , a control mesh may be arbitrary one - dimensional or two - dimensional orientated topological manifold , and the curve or surface is defined on differential manifold homeomorphic to the control mesh with a potential function as its basis functions . this method is an extension of nurbs , which efficiently overcomes the limitations of nurbs
广义有理参数曲线曲面定义在与控制网格拓扑同胚的微分流形上，以高度一般的势函数为基函数，其控制网格可以是任意的一维拓扑流形和二维可定向拓扑流形。
By employing the potential function , we construct the unit partition on differential manifold . and then , by regarding the curve and surface as a map from differential manifold to topological manifold , we present the framework of grpcs and discussed its basic properties in detail
然后通过势函数来构造微分流形上的单位分解，将曲线曲面看作微分流形到拓扑流形的映射，给出了广义有理参数曲线曲面的整体理论框架，并对广义有理参数曲线曲面的基本性质进行了讨论。