geodesics
英
美
网络 测地线; 测地距离; 极端线; 测地间隔; 大地线
双语例句
- The theory of surfaces made a slow start. It began with the subject of geodesics on surfaces.
曲面理论也经历了一个漫长的开端，曲面理论是从曲面上的测地线的研究开始的。 - In 1728 Euler gave differential equations for geodesics on surfaces.
1728年，奥伊勒绘出了曲面上测地线的微方程。 - Also, the paper discuss the existence of the infinite closed geodesics of a compact no-simply connected Riemannian manifold.
并由此讨论了紧致的非单连通黎曼流形上无穷多的闭测地线存在性问题。 - Geodesics of Bounded Particles ( m ≠ 0) around a Kerr Black Hole
Kerr黑洞周围束缚粒子（m≠0）的短程线 - Robot trajectory planning based on geodesics
一种基于测地线的机器人轨迹规划方法 - The computer drawings of shortest geodesics are very important to the practical engineering, to the theories of mathematics, physics and mechanics.
计算机绘制短程线，在工程实际及数学、物理、力学理论中都是很重要的。 - On the finite equations of the geodesics on the Liouville hypersurfaces in the Euclidean space of four dimensions
四维空间李乌菲尔超曲面上短程线之有限方程 - In this paper we study the geodesics in sub-Riemannian manifold ( M, D, g), where M(?)
本文研究了次黎曼流形（M，D，g）上的测地线，这里M（？） - The proof of singularity theorems is given at zero temperature for time-like geodesics, or at infinity temperature for null geodesics.
奇点定理的证明，对于类时测地线是在零温下给出的，对于类光测地线则是在温度无穷大的情况下给出的。 - Based on reviewing vacuum field equation which is stationary and axisymmetric, i.e., the Ernst equation, and the generating technique of solutions, some spacetime properties and geodesics properties are studied by using the NUT-Taub-like ( NT-like) solution obtained recently.
本文在回顾稳态轴对称真空场方程，即Ernst方程及其解的生成技术基础上，从最近得到的NUT-Taub-like（NT-like）解出发，对这个度规的时空的性质和测地线性质进行了研究。 - Curve shortening flow is not only used to study differential geometric problems such as the existence of closed geodesics on surfaces, but also served as the physical model describing the motion of interface in the theory of phase transition.
曲线流不仅可用于解决曲面上闭测地线的存在性等几何问题，而且可作为相变理论中描述界面运动的物理模型。 - We introduce a method to calculate the temperature of a non-stationary black hole; the proof on the information loss during Hawing radiation due to the irreversibility of the process, and the proof on the proper acceleration being infinity for null geodesics.
介绍了计算动态黑洞温度的方法，给出了由于不可逆性而导致霍金辐射过程中信息丢失的论证，还给出了类光测地线固有加速度发散的论证。 - Analysis of Geometry of a Class of Partial Functional Differential Equation CALCULATION AND COMPUTER DRAWING OF SHORTEST GEODESICS OF COMMON SURFACES OF REVOLUTION
几种常见回转曲面短程线的几何分析及其计算机绘制 - Computing Geodesics on Point Clouds
点云模型上测地线的计算 - On the Computer Drawing of Shortest Geodesics on Straight grained Helical Surfaces
直纹螺旋面短程线的计算机绘制 - The Closed Geodesics in a Compact Local Symmetric Space
局部对称空间上的闭测地线 - The Geodesics without Conjugate Points on the Manifold with Nonnegative Ricci Curvature
具非负Ricci曲率流形上的无共轭点测地线 - Adopting geodesics as dividing lines, space surfaces were developed by minimal extremum method.
采用测地线划分曲面，应用最小极值法进行曲面的展开。 - The traditional expression invariant based on geodesics distance is obtained by discrete sampling on iso-geodesic curves, with only local features, lacking of global features.
传统的基于测地距离的表情不变量的获取是在等距曲线上离散取点，只具有局部性，缺少全局特征。 - The accretion model of the black hole is often approximately to assume that the accreting matter moves along the geodesics. The radiation near the black hole falls into the black hole or propagates to infinite observers along the null geodesic.
天体物理学家在研究黑洞的吸积模型时常常近似地假定吸积物质沿短程线运动，即研究黑洞附近的辐射沿类光短程线落入黑洞或传向远方观测者的规律。 - Geodesics generalize the concept of straight lines on curved surfaces and manifolds in differential geometry. Computing geodesics on triangle mesh is widely used in computer graphics and pattern recognition research and in the area of engineering design and manufacture.
测地线是曲面和任意流形上直线这一概念的一般化，求解三角网格模型的测地线在计算机图形学和模式识别研究以及工业设计和制造领域都有广泛的应用。 - We present two practical linear methods computing straightest geodesics starting from a given point and going along a special tangent direction on triangle mesh.
我们提出了两个个实际的线性时间的算法求解三角网格上一点开始沿给定切方向的最直测地线。 - It is proved that geodesics can be produced by stretch elastic strings along a smooth surface.
可以证明，连接平滑曲面上任意两点的弹性细丝当拉紧时具有测地线的形状。 - It is well known that it is extremely important for astrophysics to understand the space-time geometry around a black hole, one of the best way is to study the time-like and null geodesics of the black hole.
众所周知研究天体的短程线轨道在天体物理学中是极为重要的，而研究黑洞的时空几何最好的方法之一是研究黑洞时空的类时短程线和类光短程线。