导数

In order to find a powerful assistant computation tool for further analysis and design of multilayer optical coatings,an analytical model is mathematically established for accurate calculation of the first and second derivatives of the spectral coefficients of multilayer optical coatings with respect to layer parameters like thickness,real refractive index and extinction coefficient. It is based on the matrix theory of calculating the spectral coefficients of multilayer optical coatings and is achieved by perfectly using the trace operation of matrix.

为了寻找一种膜系深入分析与设计的有力辅助计算工具，从光学薄膜光谱系数的矩阵计算理论出发，基于对矩阵求迹运算的巧妙运用，从数学上建立了准确计算膜系光谱系数关于膜层几何厚度、实际折射率和消光系数等膜层参数的一阶和二阶偏导数的解析模型。

So it produces a series of approximation matrix Bk+1 to the second order derivatives of the objective function.

因此它产生了一系列对目标函数二阶导数的近似矩阵Bk+1。

For the first-order ordinary differential equation system, the coefficient matrix of variables with derivative is decomposed into the triangular factor form and transformed into unit matrix.

对于一阶常微分方程组，将具有导数变量的系数矩阵作三角化分解，使其简化成单位矩阵。

Based on the maximum principle,we construct the blowing-up lower solution by the relations of parameters and solution of the ordinary differential equation and then the blow-up properties are studied.We use the maximal principle to analyse the derivative profiles of the solution and get the lower bounds and upper bounds of blow-up rate through the complicated analysis technology and the inequality theory.

基于最大值原理的比较理论，通过一些特定的参数关系，利用相关常微分方程的解构造合适的爆破形式的下解，由此得到退化反应系统初边值问题的爆破解；然后，对爆破解的性质进行进一步的研究，利用极大值原理对解的导数特性进行了分析，给出了解的爆破速率的上、下界估计。

Based on the second PA derivative of mean steady-state system time with respect to a parameter of the service time distribution, we give the second-order stochastic approximation algorithm.

当最优化问题过于复杂，无法使用解析方法分析时，一个可行的方法是在参数的取值范围内用逐次逼近法找到最优点；在使用此类优化算法时，目标函数的样本导数是必需的。

This paper introduces the Taylor formula of one dollar and multi-definition, then the proof of the value from the formula, respectively, that inequality in the value of derivatives is estimated that about industry estimates, demand infinity limit, the median point of the limit function limits, approximation, function equations and so on Taylor formula to do the induction.

本文首先介绍了一元和多元泰勒公式的定义，然后分别从证明中值公式，证明不等式，导数的中值估计，关于界的估计，求无穷远处的极限，中值点的极限，函数的极限，近似计算，函数方程中的应用等方面对泰勒公式的应用做了归纳。

A new static image reconstruction method for EIT based on genetic algorithm is proposed in this dissertation. It is quite different from the traditional modified Newton-Raphson iterative method based on minimizing the object function.

本文提出一种基于遗传算法的静态EIT图像重建方法，它完全不同于传统的基于目标函数梯度或高阶导数信息的Modified Newton-Raphson优化迭代算法。

It is due to the incorrect use of the substantial derivative in multiphase flow that induces such results.

本文从连续介质的观点出发，得到了多相流的随体导数须满足的必要条件和充分条件。

This paper gives a method of image edge detection,using multiple edge features and fuzzy reasoning.To effectively extract edges,edge pixels are classified according to the difference of intensity distribution,and multiple effective edge features are defined.

图像边缘检测的传统方法一般仅基于边缘邻域的一阶或二阶导数这一单一特征，并且对模糊边缘图像不敏感，针对此问题，本文提出基于多特征和模糊推理的边缘检测算法。

KONG Xiang-wei,XIE Cun,XU Wei-ran(School of Electronic and Information Engineering,DUT,Dalian 116023,China)Abstract: This paper gives a method of image edge detection,using multiple edge features and fuzzy reasoning.

摘 要：图像边缘检测的传统方法一般仅基于边缘邻域的一阶或二阶导数这一单一特征，并且对模糊边缘图像不敏感，针对此问题，本文提出基于多特征和模糊推理的边缘检测算法。

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。