空集公理

As a corollary, we solve a conjecture of Liao, i.e., the following four conditions are all equivalent: 1 the system is structurally stable, 2 the system is in the interior of the set of Kupka-Smale systems, 3 the obstruction set and the interior of singularities of the system are empty, 4 the system satisfies Axiom A and the strong transversality condition.

作为一个推论，这解决了廖山涛先生的一个猜测，即下述四个条件等价：1 系统为结构稳定的，2系统及其附近的系统皆为Kupka-Smale系统，3系统的阻碍集为空集，4 系统为公理A且满足横截性条件。3→4，4→1，1→4已经分别由廖山涛， Smale、 Anosov、 Robbin、 Robinson以及Robinson完成。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。