1) Euclidean plane
欧氏平面
1.
According to the character of the optimal tour of Euclidean plane TSP problem, the sub-path and related notions are presented.
根据欧氏平面TSP最优环路的性质提出了子路径及相关的概念,利用点集凸壳设计了环路构造算法,并以点集Delaunay三角剖分图为启发信息设计了改进的遗传算法,通过中国144城市TSP等验证了算法的有效性。
2) enlarged Euclidean plane
扩大欧氏平面
1.
It also finds a solution to the problem of the length of a line segment crossing a certain point on the enlarged Euclidean plane, determining.
为解答二次曲线过焦点的弦长问题,用射影几何的观点,修改了文[4]的观点,证明了有关定理,列举了具体例子,圆满地解决了广义极坐标下,求过极点的线段长的问题,并且更一般地解决了扩大欧氏平面上"过某点的线段长"的问题,规定了线段长与其两端点间距离的关系。
3) augmenled Euclidean plane
拓广欧氏平面
4) the parallel axiom (Euclid)
欧氏平行公理
1.
The article proves sine rule and that vertical line of a line crosses its slant lines are both equivalent for the parallel axiom (Euclid) on the combined axiom; the sequence axiom; the repeatability axiom; the continuity axiom (the axiom system of Hilbert), so they are equivalent for each other .
在结合公理Ι1-8,顺序公理Ⅱ1-4,合同公理Ⅲ1-5和连续公理Ⅴ1-2(这里采用希尔伯特的公理体系)的基础上证明了正弦定理、一条定直线的垂线和斜线一定相交与欧氏平行公理是等价的,进一步证明论题。
5) Lobachevskey's space
罗氏平面
6) Euclidean
[英][ju'klidiən] [美][jʊ'klɪdɪən]
欧氏
1.
This paper makes a comparison between Euclidean classification,affine classification and projective classification about quadratic curue.
本文通过对二次曲线的欧氏分类，仿射分类和射影分类三种方法的比较，探讨了这三种方法之间的联系和区
补充资料：阿狄森氏平面