geodesic

It is shown that the proper acceleration of null geodesic with conjugate points approaches infinity.

具有共轭点的类光测地线的固有加速度趋于无穷大.

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In particular, it gives a characterization of closed totally geodesic hypersurfaces in such an ambient space.

特别地, 得到了这类流形中闭全测地超曲面的一个刻画.

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Specially, when k ≥ 2 and the generating spaces are spacelike or timelike, they are totally geodesic if and only if they are totally umbilical.

特别，若M的生成空间是类空的或类时的，则当k≥2时，M全测地与全脐等价。

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By giving the definitions of geodesic main torsion and torsion line, discussing their some properties.

给出了测地主挠率和挠率线的定义, 讨论了测地主挠率和挠率线的一些性质.

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It seems only to be of possible interest in that some computation formulae are deduced in terms of the geodesic and its azimuth.

可能关心的，看来只是某些公式是用大地线及其方位角来推导的。

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Geodesic Approaching in Non-Riemannian Space and Its Application to Adaptive Non-linear Control Design in Power systems

非黎曼空间测地逼近及其在电力系统非线性自适应控制中应用

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This paper presents a geodesic-based constrained deformation method for polygonal mesh models.

提出了一种基于测地线的多边形网格模型的约束变形方法.

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The opening chapter gives a general overview of history of the development of the NURBS surface, awaken to the necessity of compute on geodesic and curvature lines of surface.

第一章综述了NURBS曲面的发展历程，由此引申出测地线和曲率线计算的必要性。

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The Application of ARX to Automatic Drawing in Time Distance Curve of Tunnel Geodesic Concussive Detecting

ARX在隧道测线震探时距曲线图自动绘制中的应用

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Using the Post-Newtonian approximation method to calculate the geodesic equations of a test particle in the gravitational field of a CM celestial body

CM天体引力场中试验粒子测地线方程的后牛顿算法

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The geodesic meshed cable-net structure was used to support the reflector of the Five-hundred-meter Aperture Spherical Telescope ( FAST).

采用整体索网作为大射电望远镜（FAST）反射面的支承结构，网格划分形式为短程线型。

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The equation of the positive spiral surface are expressed with the conventional cylindrical spiral equation. The line connecting two points on the positive spiral surface ( geodesic) can only be expressed with differential equation, which his no practical meaning.

目前关于正螺面方程是用常规的圆柱螺线方程表示，而正螺面上任意两点间的连线（短程线）只能用微分方程表示，并无实际意义。

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This paper proves that the geodesic on the positive spiral surface is a cylindrical spiral, which can be calculated with the parameters on the positive spiral surface.

本文研究证明，正螺面上的短程线就是一根圆柱螺线，可根据正螺面的参数准确计算出其数值。

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The Geodesic Dome —— the House of the Future?

可测量的圆屋顶——未来的房屋?

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Semi-Implicit AOS Schemes for MRI Segmentation Geodesic Active Contour Model

MRI分割的几何活动轮廓模型的半隐式AOS迭代方法

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First we give the characteristic property of a spherical curve, then we discuss the contact between the geodesic circle and the spherical evolute, and the properties of the spherical evolute.

首先给出了球面曲线的性质，然后讨论球面曲线与测地圆的切触和球面渐屈线的性质。

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Research of algorithm of geodesic lines involved in track programming of tape-laying

LayingFishermen自动铺带轨迹规划中测地线算法研究

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We study the variation of a null geodesic with conjugate points on it, and make the conclusion that the proper acceleration of the time-like curves generally approach infinity as they approach the null geodesic in the second part of the thesis;

第二部分，对具有共轭点的类光测地线进行变分，由此得到类时曲线在逼近此类光测地线时，其固有加速度趋于无穷大；

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Based on the geodesic, a parallel equidistant path generation algorithm for composite fiber placement was implemented.

自动铺丝技术是实现复合材料“低成本 、 高性能”制造的重要手段之一.

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A method of constructing a continuity function defined over the sphere based upon the spherical geodesic inverse distance is presented, which can also be used to solve the scattered data surface interpolation on the surface topologically equivalent to a sphere.

给出了一种基于球面反距离的C插值函数月来解决球面上散乱数据的光滑性曲面插值问题，该方法可用于解决一类拓扑等价于球面的曲面上散乱数据曲面插值问题。

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The geodesic meshed cable-net structure was used to support reflector of the Five-hundred-meter Telescope ( FAST ).

采用整体索网作为大射电望远镜 ( FAST )反射面的支承结构,网格划分形式为短程 线型.

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In this paper, we give simplified proofs of the Euler formula for normal curvatures of surfaces of R3. We derive an analogue of Euler formula for geodesic curvatures of surfaces.

本文给出了R3中曲面的法曲率的欧拉公式的简单证明。并得到一个关于曲面交线曲率及曲面测地曲率的类似的欧拉公式。

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Time-Like Geodesic Motion in the Outside Space-Time of Vector Graviton Field without Charge and Rotation

矢引力子场论中无旋转不带电球体外时空中的类时测地运动

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From the property of geodesic curve , a new arithmetic of cutting line is put forward.

从测地线的性质出发, 提出了一种新的裁剪线生成算法.

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