导数

During the inversion of resistivity, special emphases have been placed on two aspects-the estimation of the regularization parameter and the calculation of the Frechet derivative.

在正演与反演过程中，正则化因子的选取和Frechet导数的计算是两项关键内容。

In this paper, one corollary has been derived, i. e., the Frechet derivative which is necessary to the resistivity inversion, is the first order of Zhang's integrated geometric factor.

针对阵列电位电极系测井正演与反演研究，我们得到另一结论：反演过程中必然用到的Frechet导数为张氏一阶积分几何因子。

To recover the time function of source, the deconvolution procedures based on least square method were developed, and to obtain the Frechet derivative of this function, we assumed it as a polynomial of tenth order, then the time function can be treated as a parameter to be identified.

至於波源时间之反求，则以最小二乘法为之，并假设其为十次多项式，而由此求出Frechet导数，并将其视为欲辨识之参数之一，由所得之结果得知，辨识出来之参数和事先假设者颇为相符。

Gradient regularization method ; Frechet derivative ; regularization parameters ; parameter identification ; ill posedness ; elliptic operator equation

梯度正则化方法； Frechet导数；正则参数；参数识别；不适定；椭圆算子方程

Through theoretic analysis and numeric calculation, it studies kinetic characteristics and pollutant transform laws of the 2nd Songhua River Water; emphasizes parametric recognition for Frechet derivative regularization based on Dobbins-Camp BOD-DO coupled model in water quality simulation and how to make estimation.

通过理论分析和数值计算，研究二松江江水运动特性和污染物转化规律；重点研究了水质模拟中基于Dobbins BOD-DO耦合模型的Frechet导数正则化参数识别法进行估计，确定目标函数后，通过优选技术确定水质参数。

The whole inverse problem may be viewed as a two-stage optimal procedure, and the optimal algorithm based on gradient, such as BFGS algorithm, is adopted as the gradient of the objective functions which may be derived by using Frechet differential.

由于两次优化的目标函数的导数都是可求得的，因此采用基于梯度的优化算法，如Broyden-Fletcher-Goldfard-Shanno变尺度算法。

Course Content:The main part of this course is about infinitesimal calculus and ordinary differential equations,including :functions and limits,derivative and differential integral and their application,differential methods of function of several variables and its application,heavy integral,curve integral,camber integral,infinite progression and differential equations.

课程内容：学科教学法与CAI研究与实践是师范计算机专业教学系统的重要组成部分，学科教学法与CAI研究与实践课程是计算机科学教育的主要内容。通过本课程的学习使学生掌握现代学科教学法与CAI研究与实践的基本概念，基本原理和基本方法；能设计并使用所学的教学理论进行中学信息技术课程的教学设计，试讲，试教。课程内容：以微积分学和常微分方程为主干，介绍函数与极限，导数与微分，中值定理。不定积分，定积分及其应用，多元函数微分法及其应用，重积分，曲线积分与曲面积分，无穷级数及微分方程等。

The variational problems of the complete functional in calculus of variations are studied deperding on the arbitrary arguments,arbitrary multivariable functions and arbitrary-order partial derivatives of multivariable functions.

研究变分法中依赖于任意个自变量、任意个多元函数和任意阶多元函数偏导数的完全泛函的变分问题；提出并证明了完全泛函的变分问题的定理，采用偏微分算子，给出了完全欧拉方程组。

The fundamental equations derived from these two models are different and they can not be converted from one to another.

各模型本身也存在一些缺陷。这些都是由于对多相流的随体导数不恰当运用引起的。

This paper is the continuance of that of Lewalle (2001). Lewalle has made use of Gaussian wavelet to obtain the N-S equations with flexion as fundamental quantity in the infinite domain. In that work, Lapalace operator has been degraded to one-order operator. Moreover the resulted N-S equations take the form of diffusion equations with local bilinear mutual interaction kernel.

本文是Lewalle工作的继续，Lewalle利用高斯子波，得到了以弯曲度为基本量的无穷域中N-S方程，此时Lapalace算子降低为一阶导数，并且N-S方程变形为具有局部化双线性相互作用的扩散方程的形式。

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。