该方法不仅可以用于空间曲率检测的标定工作，也可适用其他一些空间矢量的检测工作。
The geometric meaning of this method is then defined not only for measurement of spatial curvature, but also for inspection for some other spatial vectors.
为了实现管道机器人在工作时对自身位置的全程定位，提出了一种基于光纤光栅空间曲率传感器全程定位的递推算法。
A recurrence algorithm based on fiber Bragg grating curvature spatial sensor for total distance positioning of in-pipe robot was presented.
空间可以向球面一样有正的曲率，也可以像马鞍面一样有负的曲率。
Space can have positive curvature, like the surface of a sphere, or negative curvature, like the surface of a saddle.
讨论局部对称空间中具有平行平均曲率向量的子流形，得到其关于第二基本形式模长平方的积分不等式的相关定理。
This paper discusses submanifolds with parallel mean curvature vector in local symmetric Spaces and obtains integral invariants about the square of modulus-length.
它进一步说明一个四元流形的截面曲率的估计对许多对称黎曼空间都是有效的。
It proves that the estimate sectional curvature of a quaternion manifold is very useful for Riemann symmetric space.
本文研究了伪黎曼空间型中具有常平均曲率的类空子流形，得到了这类空子流形的一个积分不等式及刚性定理。
This paper discusses the space-like submanifolds with constant mean curvature in a pseudo-Riemannian space form, and obtain an integrate inequality and a rigidity theorem.
曲率误差的空间分布研究。
利用黎曼对称空间同正交对称李代数之间的密切关系及一个矩阵不等式给出了一个复流形上截面曲率的上界的精确估计。
We used the relationship of the Riemann symmetric space and the symmetric algebra, a matrix inequality to provided a estimate sectional curvature of a complex manifold.
爱因斯坦报告说，他想象(可视)空间的曲率。
Albert Einstein reported that he imagined (visualized) the curvature of space.
接着详细计算了两种方案中磁阱的磁场强度及其梯度与曲率的空间分布，理论证明了实现磁光晶格和磁晶格的可行性。
We calculate the spatial distributions of magnetic fields and their gradients and curvatures, and the results prove the possibility of realizing MOL and ML.
提出了一种应用于非开挖管线测量，在已知离散点曲率的情况下进行空间曲线重构的方法。
A reconstruction method of using the discrete curvature data for space curve was proposed on underground pipeline detection.
我们把CHENG (1977)，LI(1996)的结果推广到了非定空间形式中常数量曲率的类空子流形中。
The result is extended in CHENG (1977) and li (1996) to the space-like submanifolds with constant scalar curvature in an indefinite space form.
经典微分几何研究三维欧氏空间中曲线曲面理论，其最具有特色的研究是主曲率函数满足某些关系的魏因加吞曲面。
In the classical differential geometry which deals with the theory of curves and surfaces of three dimensional Euclidean space, the most distinctive study is the Weingarten surface.
本文定义了伪黎曼空间型中的旋转超曲面，并给出其参数表达式及主曲率计算公式。
Rotation hypersurfaces in pseudo-Riemannian space forms are defined and their explicit parametrizations are given in the present paper, and their principal curvatures are computed.
文章后半部分探讨了射影平坦的芬斯勒空间，得到它成为常曲率空间的一个条件。
Then they focus on a projectively flat Finsler spaces, find a sufficient condition for it to be of constant curvature.
弯曲平面倾角和井眼曲率的有机结合可以很好的描述井眼轨迹空间形状对钻头侧向力的影响。
The curvature rate and well curvature plane Angle can be used to make a good description of the influence of the well trajectory parameters on the side fo.
该算法对离散的曲线进行光顺、拟合和采样，使用空间曲线微分几何性质计算各采样点的曲率和弗朗·内特标架。
After smoothing, fitting and sampling the discrete space curves, the algorithm calculated Frenet frame and curvature for each sampling point.
空间机构上许多质点的运动轨迹可能具有双重曲率。
A spatial mechanism may have particles with loci of double curvature.
利用可积系统的方法研究3维球空间中的常中曲率(CMC)曲面，并给出了曲面的谱变换。
It is studied that the CMC surfaces in the sphere space of dimension 3 by means of integrable system and its spectral transformation is given.
地球表面曲率产生的误差是收敛的，显然，在自由空间没有类似的情况。
The convergence of error brought about by the curvature of earth's surface obviously has no counterpart in free space.
本文给出了四维仿射空间中具有常截面曲率的仿射球的完全分类。
Complete classification of affine spheres with constant cross section curvature in 4-dimensional affine space is given.
用空间解析几何理论，考虑路线斜交纵坡、曲率等因素，推导小桥涵尺寸计算公式。
The paper introduced the practical formula of computating culvert geometrical factor accurately by space analytical geometric theory.
该文研究了局部对称共形平坦空间中具有常数量曲率的紧致子流形，证明了这类子流形的某些内蕴刚性定理。
In this paper, the authors discuss the submanifolds with constant scalar curvature in a locally symmetric and conformally flat space, and obtain some intrinsic rigidity theorems.
推导了空间凸轮和端齿的主曲率和主曲率半径的计算公式，给出了计算实例。
The calculating formulas on the main curvature and curvature radius of CAM and face tooth are deduced, and the calculating examples are presented.
在双曲空间中，考察椭圆的包含关系，对弧长元素、测地曲率、曲率、面积及全曲率等几何量做出细致考察。
Some geometric data of ellipse in hyperbolic space are considered, such as set inclusion, arc length, geodesic curvature, curvature, area and total curvature.
计算表明，空间线型预应力筋水平投影的曲率不宜太大，线型不宜太复杂，应尽量选择单波形曲线。
The results show that it is inadvisable to select a large curvature of horizontal projection and a complicated space curve, while the use of single waved curve would be better.
此解的中子密度空间分布曲率是随堆功率变化的，因此它比点堆模型方程的解析解精确。
The space curvature of neutron density of this solution is changed according to the changes of reactor power, so it is more precise than the analytic solution of point reactor model.
最终得到的空间曲线能达到曲率连续。对该方法的误差进行了分析，数值例子显示插值效果较好。
The space curves finally obtained are shown to be curvature continuous. The error estimation of this method is also…
最终得到的空间曲线能达到曲率连续。对该方法的误差进行了分析，数值例子显示插值效果较好。
The space curves finally obtained are shown to be curvature continuous. The error estimation of this method is also…
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