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.

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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.

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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.

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