曲率

The earliest such theorem is the Gauss-Bonnet theorem, which gives the Euler characteristic in terms of the integral of the Gaussian curvature.

这方面最早的结果是 Gauss-Bonnet定理，它表明曲面的Euler示性数能用Gauss曲率的积分表示。

We find that to form a helix, the Euler angle must be a constant determined by the spontaneous curvatures.

我们发现要形成螺旋形，Euler角必须为常数并由自然曲率所决定。

At the second step, the size of the cutter is computed by the minimum concave radius of curvature estimated by the Euler formula.

根据欧拉方程估算零件的最小曲率半径以确定区域补加工的刀具半径，用二分法估算用于清根补加工的一系列刀具直径。

By the procedure, we first use the cosine values of the angle between view vector and normal vector on each vertex as the texture coordinates, through calculation of the dot product of the two vectors. The derivative of radial curvature on the model surface is used as the second pass texture mapping coordinates, by a calculation using Euler formula.

该方法首先通过模型顶点的视线向量和法线向量的点乘积计算其夹角的余弦值，作为第一步的纹理坐标进行映射；再通过欧拉公式计算径向曲率及其方向导数值，作为第二步映射的纹理坐标。

When the point moves along the plane curve, the trace curve of the point is called the evolute of the curve, denoted by, and is called the involute of the curve.

当点沿曲线移动时，相应的曲率中心的轨迹曲线称为曲线的渐屈线，而曲线称为曲线的渐伸线。

The mean curvature flow is a very important geometric evolution equation.

中曲率流是非常重要的几何发展方程。

This paper will base on the bilayer-coupling model phase diagram, under bilayer-coupling model, through building a few initial shapes which are close to the target shapes, with the constraint condition of the area A, the volume V, and the average curvature integral M and using reduced quantity, finally some budding and the multi-budding vesicles will be obtained through Surface Evolver software gradually subdividing and long time evolution.

本文从双层模型的相图出发，在双层模型下，通过建立一些与目标形状相近似的初始形状，在面积A，体积V和平均曲率的积分M的约束条件和使用约化量的情况下，经Surface Evolver软件的逐次细分并长时间演化，得到了一些budding和multi-budding型的生物膜泡形状。

In chapter 3,we prove that a complete noncompact n-dimensional Riemannian manifold M whose Ricci curvature Ric_M ≥(n- 1) has finite topological type or diffeomorphic to R~n if its Excess function has some upper bound at a point.

第三章，我们证明了对于Ricci曲率Ric_M≥-(n-1)的完备非紧n维Riemann流形M，若它的共轭半径有正的下界且共轭半径的某个函数为M在某一点的Excess的上界时，它就有有限拓扑型或者微分同胚于n维欧几里德空间。

This paper studies the relationship between the approximate confidence and the statistical curvature in nonlinear exponential family regression models with linear restriction from geometric point of view.

本文从几何的观点，研究了带有线性约束的指数族非线性回归模型下参数的近似置信域与统计模型曲率之间的一般联系，获得了参数的近似置信域。

If the container curvature is too large, such as a circular cylinder, pressure-sensitive labels in the zaimo, exsufflation, that should not be used in-mold labels.

如果容器曲率过大，如圆形瓶，在模内贴标过程中，排气有困难，那就不应该采用模内标签。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。