查询词典 integral curvature

Principal curvatures and principal directions are obtained by computing in closed form the eigenvalues and eigenvectors of certain 3×3 symmetric matrices defined by integral formulas, and closely related to the matrix representation of the tensor of curvature.

通过计算3×3对称矩阵的特征值和特征向量可以得出主曲率和主方向，而该对称矩阵是由积分公式定义并且与曲率张量的矩阵表达密切相关。

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。

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。

If the change of step-size is controlled by the value of curvature of integral curve, the result can avoid such an error accumulation.

定步长的缺点在于不管是积分曲线的各个点的曲率如何都取一样的步长，这样肯定会在曲率大的一些点带来比较严重的误差，这种误差将在每一步的计算中积累。

B- spline Expression of Integral Curvature Line on NURBS Surface.

李宏坤，王国瑾，刘利刚， NURBS 曲面上积分曲率线的 B 样条表示，计算机辅助设计与图形学学报，2006， 18(3)：

The whole process of moment-curvature relationship for RC beam was analyzed with the relative depth of compressive zone of the beam about 0.15 using the strip integral method and computer programme. The relationships between moment and strain of concrete, strain of steel, depth of compressive zone were got.

采用条带积分法，应用计算机编程，对相对受压区高度为0.15左右的钢筋混凝土梁的弯矩－曲率关系进行全过程分析，得出弯矩－曲率关系曲线，并给出弯矩与混凝土应变、钢筋应变及梁的相对受压区高度的对应关系。

Based on this definition, the curvature、regular and integral properties of the general offset curve are discussed. As a result, J.steiners celebrated theorem of the oval is developed.

并在此基础上做相应的讨论，研究其正则性、曲率和积分性质，推广了J.steiner关于卵形线的外等距线所围面积的一个著名定理。

Let x be an immersion of a compact Willmore surface M into the n-dimensional unit sphere Sn. In this thesis we first consider the Willmore surfaces in the unit 3-sphere, and establish an integral inequality for the square of the length of the trace free part of the second fundamental form and the mean curvature.

令x是一个从紧致威尔摩曲面M到n 维单位球面Sn的浸入，在本论文中我们首先考虑3维单位球面中的威尔摩曲面并建立一个包含第二基本型式迹为零部份的张量长度平方与平均曲率之积分不等式。

Especially, the difference of the nearest-neighbor hopping integral is due to the effect of the curvature of the carbon nanotubes. So, in fact there is a very narrow energy gap near the Fermi energy of unsquashed metallic zigzag carbon nanotubes, and, a slighter deformation is required to open a considerable energy gap in metallic zigzag carbon nanotubes than that in armchair nanotubes.

特别是，最近邻格点之间的跃迁积分的变化与碳纳米管的曲率紧密相关，因此实际上，理想金属型 zigzag 碳纳米管本身具有微小能隙，而施加比 armchair 碳纳米管小的多的压缩量，就可以使金属型 zigzag 碳纳米管在费米能处打开相当的能隙。

By numerical integral of this model, the factors which affect the additional twist of yarn are analyzed, including the pressure in the profile tube, the coefficient of friction between the fiber band and lattice apron, the length of the suction slot and the curvature radius of profile tube.

通过对集聚区内须条的集聚过程分析，建立须条的受力模型，发现须条在集聚过程中会产生附加捻度，并且对影响须条附加捻度的各种因素：异型管开槽长度、负压大小、须条和网格套圈间的摩擦因数以及异型管的曲率半径进行了分析。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。