微分

A differential polarization curve method and its application in the investigation of the anodic desorption behaviors of interface corrosion inhibitor were proposed and expounded.

提出对半对数极化曲线进行微分的方法，得到的微分极化曲线及其特征参数可以更精细地表征缓蚀剂的阳极脱附行为

Among used machine learning methods, the gradient descent method is widely used to train various classifiers, such as Back-propagation neural network and linear text classifier. However, the gradient descent method is easily trapped into a local minimum and slowly converges. Thus, this study presents a gradient forecasting search method based on prediction methods to enhance the performance of the gradient descent method in order to develop a more efficient and precise machine learning method for Web mining.However, a prediction method with few sample data items and precise forecasting ability is a key issue to the gradient forecasting search method. Applying statistic-based prediction methods to implement GFSM is unsuitable because they require a large number of data items to model a prediction model. In the contrast with statistic-based prediction methods, GM(1,1) grey prediction model does not need a large number of data items to build a prediction model, and it has low computational load. However, the original GM(1,1) grey prediction model uses a mathematical hypothesis and approximation to transform a continuous differential equation into a discrete difference equation in order to model a forecasting model.

其中梯度法是一个最常被使用来实现机器学习的方法之一，然而梯度法具有学习速度慢以及容易陷入局部最佳解的缺点，因此，本研究提出一个梯度预测搜寻法则(gradient forecasting search method， GFSM)来改善传统梯度法的缺点，用来提升一些以梯度学习法则为基础的分类器在资讯探勘上的效率与正确性；而一个所需资料量少、计算复杂度低且精确的预测模型是梯度预测搜寻法能否有效进行最佳解搜寻之关键因素，传统统计为基础之预测方法的缺点是需要较大量的数据进行预测，因此计算复杂度高，灰色预测模型具有建模资料少且计算复杂度低等优点，然而灰色预测理论以连续之微分方程式为基础，并且透过一些数学上的假设与近似，将连续之微分方程式转换成离散之差分方程式来对离散型资料进行建模及预测，这样的作法不尽合理，且缺乏数学理论上的完备性，因为在转换过程中已经造成建模上的误差，且建模过程仅考虑相邻的两个资料点关系，无法正确反应数列未来的变化趋势。

The main objective of this course is to supply different methods to analyze partial differential equation and its applications.

本课程主要目的是介绍偏微分方程式与机械系统，电路系统的关系，并教授各种分析偏微分方程式的方法。

The oscillation of ordinary differential equation is one of important branche of Differential equations.

常微分方程解的振动性是微分方程解的重要性态之一。

This paper proposes a new differential equation for production declining rate ,which has different form from differential equation of J.

研究提出了一种新的产量递减率微分方程，这个方程与J J阿尔普斯的递减率微分方程在形式上是不同的，并由此推导出了一种油气藏可采储量预测方法。

In this paper, we extend the A-harmonic e equation from the constant differential form which values in zero to any differential form, that is p-harmonic type equation.

在本文中，我们主要是把A-调和方程从取特殊值0的常微分形式推广到任意给定的微分形式，即p-调和类型方程。

With the increasing development of science and technology, There are many problems relating to differential equation derived form lots of practi- cal applications, such as whether differential equation has a oscillating solution or not, and whether all of its solutions are oscillatory or not.

随着自然科学和生产技术的不断发展，在许多应用问题中均出现了微分方程是否有振动解存在或者微分方程的一切解是否均为振动解的问题。

In the first chapter , after introducing some basic notions , We give some new development on differential game theory and its application .

在论文的第一章里，我们介绍了一些微分对策理论的基本概念以及微分对策理论研究的一些进展。

First,a differential game model for security investment decision is established.

首先，建立了证券投资决策的微分对策模型，然后，证明了该微分对策模型存在唯一的值函数。

Then the existence and uniqueness of the value function for the differential game model is verified.

最后，根据微分对策理论得出了值函数所满足的偏微分方程。

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。