但是，当我们从物理的角度审视这一问题时，就会发现可以把这个曲面嵌入一个三维空间中，粒子的运动可以在笛卡儿坐标下分解为三个互相正交的方向。
However, when examining the same problem in the physical point of view, the motion of the particle can also be described in the three-dimensional coordinates.
由于给定主曲率函数的嵌入旋转曲面存在性已得到较好证明，故使得曲面的设计成为可能。
Since the existence of embedded rotation surface with given principal curvature function is well proofed, the design and modeling of the surface becomes possible.
本论文主要研究了图的最大亏格的下界问题以及有向图类在可定向曲面上嵌入的亏格分布。
In this paper, the lower bound problems of the maximum genus and the genus distributions of digraphs in orientable surfaces are studied.
在联树模型的基础上，把图在曲面上的嵌入用其联树，也即其关联曲面来表示。
On the basis of the joint tree model, an embedding of a graph on a surface can be rep-resented by a joint tree, further by an associated surface of it.
在刘彦佩提出的联树法的基础上，通过分类一类新图类的可定向嵌入曲面求出了这类图类的可定向嵌入的亏格分布。
In this paper, We obtain the total genus polynomials for two new classes of 4-regular graphs by using the joint tree model of a graph embedding introduced by Yanpei Liu.
在刘彦佩提出的联树法的基础上，通过分类一类新图类的可定向嵌入曲面求出了这类图类的可定向嵌入的亏格分布。
In this paper, We obtain the total genus polynomials for two new classes of 4-regular graphs by using the joint tree model of a graph embedding introduced by Yanpei Liu.
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