查询词典 geodesic dome

The main tool is the notion of the Lipschitz condition with positive non-decreasing integrable function L-average along the piecewise geodesic which includes theclassical Lipschitz condition as well as theγ-condition as special cases.

同时，我们在研究中引入了沿着分段测地线的关于取正值非减可积函数L-平均的Lipschitz条件的概念，从而把流形上的Kantorovich定理及Smale理论统一起来研究。

In order to improve the calculating precision of geodesic length and azimuth by inverse solution in the new form of geodetic coordinate system, the high-order corrective terms are added and the exact value of latitudinal scale factor of length calculated from geodetic latitude of the calculated points is adopted.

文中对新大地主题解算"的概念没有定义，而是直接引用文献[1，2]的概念，读者若不阅读文献[1，2]，就不清楚"新大地主题解算的概念，建议作者对此进行补充。2。 1、本文探索意在扩大新大地坐标系适用范围，进一步提高解算精度，方案可行，目标明确。

Anchor points based Isometric Embedding under least square error criterion has a time complexity of O n log( n , and after obtained geodesic distances it has linear time complexity for embedded points and can be fully realized in parallel.

基于锚点集的最小平方误差等距嵌入算法AIE具有O n log( n 的时间复杂性，而且在获得测地线距离后的计算时间复杂度达到对嵌入点数的线性关系，且可以完全并行实现。

We prove that the compact hypersurfaces and the hypersurfaces with constant mean curvature must be totally geodesic.

紧致超曲面以及常平均曲率超曲面的全测地性质。

Geodesic, which was initially proposed by Bernoulli and ever demonstrated by Gauss, is as a foundational concept in the modern differential geometry and has been used as one of the foundations of all the general relativity. However, it implicates lots of logic paradoxes.

作为构造整个"广义相对论"的形式基础之一，现代微分几何中由Bernoulli最初提出并经过Gauss论证的"测地线"概念隐含大量逻辑悖论。

The formula for area of ellipsoidal triangle on earth ellipsoid by means of geodesic coordinate is derived in this paper. It is showed that the primary term is identical with the formula for area of plane triangle by planimetric rectangular coordinate in three angular point, while the expression of remainder terms has also regularity of its form. The presented formula can be applicable also to convex polygon on earth ellipsoid.

本文推导出用三顶点的测地坐标计算地球椭球面上三角形面积的公式，公式表明，其主项的表示式与按平面坐标求面积的计算式完全一致，而附加项的表示式亦有规律可循，因此该公式的适用范围可由椭球面三角形推广至椭球面上任意凸多边形。

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。

Then, based on the mean curvature, Gaussian curvature and the function of principal curvature, the minimal loci of the principal normal surfaces of curves, the curves with constant Gaussian curvature and the two curves of which the ratio of their functions is constant can all be obtained, as well as the properties of geodesic curve and lumbar curve.

再根据平均曲率、高斯曲率及主曲率函数，能得到曲线的主法线曲面的极小轨迹、常高斯曲率曲线及两个主曲率函数之比为常数的曲线。还给出曲面上测地线和腰曲线的性质。

Newton's method; Riemannian manifold; Smale's point estimate theory; section of a vector bundle; geodesic; Lie group; one-parameter subgroup

基础科学，数学，几何、拓扑Newton法； Riemann流形； Smale点估计理论；向量丛的截面；测地线；李群；单参数子群

In this paper difference equation of motion fr om one point to another point on the earth is derived from the geodesic equation on the earth and spherical trigonometry formulas. Some difference track formul as of a maneuvering object are also given.

以大地椭球三角形模型为基础，利用地球表面二点间最短路径的大地线方程和球面三角形的有关公式，建立了由地球表面一点运动到另一点的差分运动方程，同时也给出了在进行航向机动时的差分运动轨迹。

According to my definition, the Manchurian Candidate is an experimentally created dissociative identity disorder that meets the following four criteria

根据我的定义，满州候选人是一个创造分离身份混乱的实验，它符合下述的4条标准

I'd be chuffed to play at a World Cup, but I have many years ahead of me in the game so I hope to have more opportunities.

我会chuffed发挥在世界杯，但我有很多年的比赛在我前面，所以我希望有更多的机会。