查询词典 geodesic dome

Geodesic curvature of the pitch curve on spherical surface was introduced as a medium,through which the pitch curve on spherical surface can be changed into equivalent planar pitch curve by numerical computation method.

以曲面上曲线的短程曲率为媒介，导出了球面节曲线伸展成平面当量节曲线的算法。

Some geometric data of ellipse in hyperbolic space are considered,such as set inclusion,arc length,geodesic curvature,curvature,area and total curvature .

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。

Then 3D surface can be flattened to 2D plane from the center line by geodesic curvature method, and an accurate 2D pattern can be created through carrying out the numerical simulation.

然后以仿测地线曲率法，从摊平基准线将3D 曲面摊平展开至2D 平面上。并进一步透过数值迭代运算得到精确的2D 裁片外形。

After analyzing the curvature of the forming surface and the relativ emotion between the forming surface and the curved tooth surface during envelope tooth cutting,the authors work out the equations for calculating the induced normal curvature and geodesic deflection,the principal curvature and direction of the tooth surface of this kind of circular-arc gear .

通过对产形面曲率和包络切齿时产形面与齿曲面相对运动关系的分析，推导出双向圆弧齿轮齿面的诱导法曲率、诱导短程挠率和齿面的主曲率、主方向等计算公式。

The two kinds of symmetries in holonomic and non-holonom-ic mechanical systems,i.e.symmetries of differential equations of motion(ab-breviated as SDEM)and symmetries of Noether-type,and interrela-tions among all kinds of symmetries are investigated.The necessary and suffi-cient conditions of SNT to be SDEM are found out.It is pointed out thatSDEM have distinct geometric properties which are equivalent to the geodesiccharacteristic of differential equations of motion and geodesic deviation.

文中研究了完整与非完整力学系统的两类对称性，即运动微分方程的对称性和Noether型对称性，以及各种对称性之间的相互关系，确定了Noether型对称性为运动微分方程对称性的充分必要条件，并指出运动微分方程的对称性具有明确的几何性质，即它等价于运动微分方程的测地性质以及测地偏离性质。

Geodesic The shortest distance between two points on the surface of an ellipsoid.

最短线的﹚描述一个椭球世界模型表面上两点之间的最短距离。

For three-dimensional grid model, for angle distance and geodesic distance.

详细说明：对于三维网格模型，求角距离和测地距离。

Based on geodesic distance invariance of nonlinear reduced dimension algorithm source code, the text published...

基于测地距离不变性的非线性降维算法源码，原文发表在2000年的Science杂志上，需要了解具体原理者请先看其论文。

Similarly, numerical experiments are performed to demonstrate the efficiency and efficacy of the geodesic distance based MFS for piecewise smooth domain. In addition, the effect of the number of collocation points and the stability with respect to the anisotropy are discussed.In Appendix A.

在后面同样给出了数值例子以说明方法的优越性，不同的是这里考察了分片光滑的几何区域，并加上了配置点数目对数值结果的影响以及该方法对各向异性的稳定性分析。

During the simulation, themost important problem is to compute the geodesic distance as fast and exactly as possible. We modify the approximating method and make it work for the concave andmultiple sources.

在这个模拟方法中，使用了改进的近似快速计算三角网格上测地距离的方法，使之能处理凹面及多源点的情况。

Finally, the Knight strung a line between two of the monoliths and tied the horses up there.

最后，骑士们在两颗巨石之间拉了一条绳子，将他们的座骑绑在上面。

T7zN/hyS0 The island lies south by east from here.

那个岛位于此地的正南偏东方向。