查询词典 lateral curvature

In this paper we will mainly study the gauge fixing Yang-Mills heat flow of a principal bundle For a principle bundle with a compact seme-simple Lie group as its structure group over a compact Riemannian manifold without boundary, the evolutions of the curvature and its higher derivatives under the flow above will be derived, and the energy inequality and the Bochner type estimates will be obtained.

中文摘要：本论文主要讨论主丛上的规范固定Yang-Mills热流我们在紧致无边黎曼流形上的以半单紧致李群为结构群的主丛上，推导了在规范固定Yang-Mills热流下曲率及其高阶导数的演化方程，得到了该热流的能量不等式和Bochner估计，由此可推出单调性公式和小作用量正则性，以及曲率各阶导数的局部一致估计。

Subsequently, using the mass-energy relation, the general expression of the solution of the energy-curvature equation on the medium shell curve method is discussed, and the general expression of Binet equation about orbit of the celestial bodies motion is given.

随后应用质能关系探讨介质层壳弯曲方法中能量方程解的一般形式，给出天体运行轨道的一般性 Binet 方程，给出了行星近日点进动、光线弯曲的解析分析。

Taking the drawing die for the wheel spoke as an example, a method by adopting the rigid blank_holding ring after refining treatment, and by controlling the clearance between the blank_holding ring and the matrix surface and reducing the curvature radium of the matrix mouth was introduced.

以车轮轮辐拉伸模为例，介绍采用调质处理的刚性压边圈，并通过控制压边圈与凹模平面的间隙和减小凹模口圆角半径的方法，能够实现在普通压力机上直接拉伸，使制件质量稳定、操作简便，并降低了生产成本，提高了材料的利用率。

A deformable model is used to reconstruct the shape of the LV: first, the dynamic equation governing the surface deformation is deduced; secondly the image planes are mapped to the reconstruction coordinate system. From the slices data, the external force exerted on the surface is defined and the elastic force of the surface is constructed by mean curvature of the deformation surface. Finally, a level set method is applied to solve the dynamic equation for LV shape.

为了重建左心室的形状，使用基於形变模型的方法：首先建立变形曲面的动力学方程；再将成像坐标系中的图像平面映射到重建坐标系，根据图像数据构造外力，使用平均曲率构造变形曲面的弹性力，然后用水平集数值解法求解动力学方程以重建左心室的表面。

Finally, we would point out excellent method for gaussian and mean curvature estimation.

最终得出结论，指出现有方法中对高斯曲率和平均曲率的计算效果最优的方法。

Mean curvature is closely related to the first variation of

平均曲率和

This paper concerns submanifolds with constant mean curvature in Euclideanspaces or unit spheres.

本文考虑欧氏空间或单位球面中平均曲率为常数的子流形，主要考虑极小的，即平均曲率为零的子流形。

In this thesis, we mainly investigate mean curvature flow with external force fieldswhich comes from the study of the vortex of a Ginzburg-Landau system.

本文主要研究一类带外力场的平均曲率流，它源于对一类Ginzburg- Lan-dau方程的漩涡运动的研究。

Spruck have discussed the motion of level sets by mean curvature.

Spruck 对於空间中等值曲线依据平均曲的运动为已有相当研究成果。

At first, three requirements of image denoising are proposed, based on which the defect of the fidelity term used in the mean curvature motion model and that in the total variation based image denoising models are investigated.

在讨论了图像去噪的3个基本要求的基础上，总结了平均曲率运动去噪模型和总变差去噪模型中利用保真项的不足。

We are in a good position to meet your requirements.

我们完全可以满足你方的需求。

We are all pervade d with a sense of disaster.

我们普遍有大祸降临的感觉。