曲率

To mathematically characterize the deformation of the middle surface of a shell, the metric tensor and curvature tensor ought to be investigated in detail.

为了从数学角度更好地描述壳体中性曲面如何变形，通过渐近分析和张量分析，给出了当壳体中性曲面发生形变时度量张量和曲率张量改变量的完整表达式。

Curvature vector must be orthogonal to the slope vector.

曲率的向量必须和斜率向量垂直 4。

And obtain that compact submanifolds with parallel mean curvature vector must be totally geodesic.

以及具有平行平均曲率向量的紧致子流形的全测性质。

It is based on the discrete model of finite analysis to get curvature ,normal vector, direction and geodesic curve,then to analyze and design the structure.

基于有限元分析的离散模型，将离散微分几何领域的最新成果运用于膜结构设计，求解曲面曲率，法向量，主方向及测地线，进行结构分析设计。

Some uniform formulae are established, which link the Laplacian of the position vector function to the mean curvature vector field on any submanifold in the space forms.

讨论空间型中的位置向量场，建立一组统一的公式，将子流形的平均曲率向量场与位置向量及其衍生函数的Laplacian联系在一起。

A pinching theorem of compact pseudoumbilical submanifolds with parallel mean curvature vector in a locally symmetric conformally flat Riemannian manifolds

研究了复空间形式中具有平行法平均曲率向量的紧致全实伪脐子流形。

This pepediscusses compact submanifoldsoftheunit sphere Study is made on conditions ofsubmanifolds with parallel mean curvature vector,submanifolds with flat normal bundle and pseudo-umbilical submanifolds to be umbilical respectively.

本文讨论球的紧致子流形，研究具平行平均曲率向量的，具平坦法丛的、以及伪脐子流形成为全脐子流形的条件，得到几个关于第二基本形式长度千方S的pinching条件。

First,image structure vector field is derived from source luminance orthonormal vector sets. Andusing neighbor vectors to improve the weak gradient fields produces the structure vectorfield that is needed by LIC rendering. Then, LIC convolution step-length is adjustedaccording to local curvature in the structure vector field. LIC convolution length iscalculated according to the local statistical characteristics of the texture image. Finally, thealgorithm transfers the reference image\'s color characteristics to the rendering result tomake it full of rich color like oil paintings.

该算法通过计算源图像亮度分量的切矢量产生图像的结构矢量场，并对弱矢量区域进行邻域填充处理，获得LIC绘制所需的结构矢量场；然后，根据结构矢量场的局部曲率特征调整LIC的积分步长，并根据纹理参考图像的局部统计特征，自适应地改变LIC的积分长度；最后，将颜色传输算法引入LIC绘制结果，对绘制效果颜色进行渲染。

Any defects in curvature will be corrected up to about 70%.

任何缺陷，在曲率将得到纠正了70 ％左右。

That's right. And if it's a case of negative curvature then it will be more.

正是如此。如果是一个负曲率的话，它就会更大一些。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐