偏导数

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

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。

Given equation (1), then taking the partial derivative yields

由于方程（1），然后到偏导数，得到："/页"

This article which points out the importance of the partial derivative of the unit vector through the common mistakes in the vector analysis and carries on the analysis of the practical examples enables the general scholars to have a comprehensive understanding to this question.

通过矢量分析中常见的错误，指出了单位矢量的偏导数在矢量分析中的重要性，并举出实例进行分析，旨在使广大学者对这一问题有一个深刻的认识。

To simplify the process of calculating Boolean difference and partial derivation of Reed-Muller type logic function, a new method based on tabular was proposed.

为了简化Reed-Muller型逻辑函数的布尔差分与布尔偏导数的计算过程，提出了一种基于表格的新方法。

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 。