测地线

An algorithm for computing the geodesic line between the two points of an algebraic surface was presented.

给出了求解代数曲面上两点之间测地线的一种算法。

The system of differential equations for a geodesic line on an algebraic surface was discredited into a nonlinear system. Then it was solved numerically based on iterative methods.

在算法中，把决定代数曲面测地线的微分方程组离散为一个非线性方程组，然后采用迭代数值方法求解。

The geodesic eqations of vaidya space-time in the new coordinate can reach the event horizon farther than the apparent horizon.

而新坐标下的Vaidya时空的测地线方程可以达到比表观视界更远的事件视界处。

Also we discuss the existence of infinite closed complete geodesic in a nocompact Riemannian manifold with nonnegative curvature.

利用核心的思想，我们还探讨了无穷多闭测地线等几何结构问题。

Shortest path ; convex polyhedron ; computing geometry ; geodesics ; Voronoi graph.

最短路；凸多面体；计算几何；测地线； Voronoi图

In this paper,from the global viewpoint we first define the nonlinear control system on a two dimensional surface in the three dimensional Euclidean space, give the represwentation of the state equation under a loca coordinate sysgtem of the surface, and study the connectin between the equilibrium state of the nonlinear system and the egodesics on the surface.

我们首先从整体化的观点定义了一种建立在三维欧氏空间的二维曲面上的非线性控制系统，并给出了在曲面的局部坐标系下非线性系统状态方程的表达式，研究了非线性系统的平衡态与曲面的测地线之间的关系。

In order to describe the topology relationship of an environment better, a geodesic distance is substituted for a Euclidean distance used in an ordinary Gaussian function and a policy iteration reinforcement learning method based on geodesic Gaussian basis function is proposed.

为更好地描述环境的拓扑关系，采用测地线距离来替换普通高斯函数中的欧氏距离，提出一种基于测地高斯基函数的策略迭代强化学习方法。

Firstly, Geodesic distance is introduced to overcome the weakness of Euclidean distance. Then, neighborhood rough set model is introduced to make full use of neighborhood local information and also can avoid the discrete process of numerical attributes.

最后将一个二进制DE算法运用到特征选择，为了设计合理的适应度函数，本文首先针对基于欧氏距离类内类间评价函数的不足，引入流形中的测地线距离，力求保持数据集内在特性的基础上，提出了一个基于测地距离的适应度函数。

Secondly, geodesic Gaussian basis functions are defined on the graph. A shortest path obtained by a shortest path faster algorithm is used to approximate a geodesic distance.

其次，在图上定义测地高斯基函数，并用基于最短路径快速算法得到的最短路径来逼近测地线距离。

Tween the main tube and the branch tube is machine path of main tube and branch tube winding filament trajectories consisting ot geodesics and non-geodesics on And the way how to select winding angle in the intersection bepresented.

针对两圆柱直接相贯的三通管，利用圆柱面上的测地线和非测地线实现了圆柱部分的纤维缠绕路径设计，并给出了纤维从主管顺利过渡到支管的条件。

I bought a nice wrist watch as a surprise for my wife's birthday.

我买了一个漂亮的手表想要给我妻子的生日一个惊喜。

We don t expect students to be sponges. You can t expect to absorb everything and not have any questions to ask.

我们并不期待我们的学生是一块海绵，你没可能接收所有的东西而不提出任何问题。