导数

Theorem(Stokes's Theorem) Let be a piecewise smooth oriented curve in three-space, be a piecewise smooth oriented surface with boundary curve .The surface and the curve are related by a right-hand relationship, i.e., if the fingers of the right hand are cupped in the direction of ,then the thumbpoints in the direction of orientation of .,, have continuous first partial derivatives on and ,then

定理 设为分段光滑的空间有向闭曲线，是以为边界的分片光滑的有向曲面，的正向与的侧符合右手规则(即如果右手大拇指表示曲面的方向，则弯曲四指表示曲线的方向)，函数，，在曲面上具有一阶连续偏导数，则有下述公式成立

Msmodel is formulated with the relative displacement and the contact press direCtiyin the orthogonal coordinate syStem, without introducing the slip angle asvariable and transforming the variab1e to the polar coordinate system.

在工程实际中得到大量应用的二维摩擦接触问题迭代法，贴近力学直观，无须引入额外变量，无须计算导数矩阵，被工程界所熟悉。

In this paper,based on an improved orthogonal expansion in an clement , using the new idea of Ref.[3] ,a new error expression of n-degree Hermite finite element approximation to one-dimensional 4-degrec 2-point bounded problem and 2-degree ordinary differential problem, and then optimal order superconvergence for their first derivatives is obtained.

本文针对在改进的单元正交性估计的基础上，利用文[3]提出的新想法，得到一维四阶两点边值问题和二阶常微初值问题的n次赫米特有限元u_h∈C~1的新误差估计式，以及导数误差的最佳阶超收敛，并且两者有相同的超收敛结果。

By means of estimates for three-dimensional discrete derivative Green's function , the theory of the interpolation operator of projection type and the technique of cancellation of elements, for several usual elements in the three-dimensional setting, including rectangular parallelepiped elements, tetrahedr.

借助三维离散导数Green函数的估计，投影型插值算子理论和单元合并技术，本文详细讨论了几种常用三维单元(包括长方体元，四面体元和三棱柱元)的有限元解梯度的最大模超逼近，均获得了高精度的超逼近结果。

Similarly, the partial derivative of with respect to at ,and is denoted by

类似地，在关于的偏导数，记作，由

It is difficult to get partial derivative in least square fitting method,and the problem was avoided by usi...

利用遗传算法实现了产出曲线的自动拟合，避免了最小二乘法中求偏导数困难的问题，提高了求解的速度和精度。

Also this paper demonstrates that numerical method could calculate partial derivative of complex function to linearize adjustment model.

同时表明，采用数值方法可计算复杂函数的偏导数，以满足线性化平差模型的需要

We also give the matrix forms of the interface partial derivative with multiple complex interfaces.

给出了任意多个复杂界面情况下，反演时所需的走时对界面偏导数系数矩阵。

Finally, optical flow estimation is performed based on the least square method and partial derivative estimation.

然后通过最小二乘法并结合图像的偏导数进行光流场估计。

The mathematical model between position error and north seeking error is gotten through error theory and partial derivative principle.

运用误差理论和偏导数原理，推导出转位误差与寻北误差二者之间的关系模型。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。