查询词典 geodesic curvature

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。

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。

In this paper differ ce 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。

E_p~(m+p+1)(p ≥ 1) must be totally umbilical, and also totally geodesic.

E_p~(m+p+1)(p≥1)中紧致极大类空子流形是全脐的，也是全测地的。

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。

And we show that if such a immersion is also semi-parallel, it must be totally geodesic. Moreover the same results hold for semi-symmetric submanifolds in a nontrivial complex-space-form.

我们证明了如果它还是半平行的，则它必是全测地浸入，而且这一结果对于复射影空间和复双曲空间中的半对称浸入也成立。

First, a large class of ideal Einstein and conformally flat immersions are proved to be totally geodesic, which generalizes a theorem of Dillen on the simplest ideal immersion.

首先证明了实空间形式中一大类理想的爱因斯坦和共形平坦浸入均为全测地浸入，所得结果大大推广了Dillen等人关于欧氏空间中最简单的理想浸入定理。

It was followed by a geodesic dome, an unheated structure filled with small shipping containers that served as buildings.

接着，一座网壳屋顶建筑建成，它是一个不能供热的建筑物，内部填满了小型船舶集装箱以作房屋。

These rules reflect some inherent feature of self and nonself, and they are the basic detection criterion of GECISM.

这些规则反映了"自我"和"非我"的内在特征，是GECISM进行"非我"检测的判据。

Until today, the media from China and the outside world still uses the term "Post 89". Regardless to whether it is for commercial gimmick or convenience, everybody still remember "Post 89", a term which carries a strong Cantonese accent.

时至今日，国内外艺术媒体还是在沿用&后八九&这个称谓，不管当初是为了商业噱头还是容易上口好记，反正大家现在是记住了&后八九&这个广东口音很重的词。