离散化

Discussions mainly on the solution and its simple applications of the equation of interest rate and amount of circulating fund are given. The discussions also involve the proof of tending to the equilibrium state of network of stock market based on the time discrete form of the equation by using Banach theorem of contraction mapping, and the influence of amount of circulating fund with exponential attenuation due to the decreasing of banking interest rate.

文中着重讨论利率_流通量方程的解及其简单应用，包括时间离散化时股市网络用Banach收缩映射定理证明最终趋向平衡状态，以及银行减息引起资金流动按指数型式衰减等。

Firstly,an edge detection method based on Facet model is used to extract the sub-pixel edges.Secondly,the method of minimizing distance search is studied to separate and sort the edge of the measured object.

首先采用基于Facet模型的边缘检测算法提取亚像素边缘，然后通过最小距离搜索法分离出待测目标的边缘点并排序，最后利用离散化的格林公式计算面积。

Oil film forces and its Jacobian matrix at any moment of sliding bearing with finite length is determined using finite element method based on the variational inequalities principle.

根据不等式变分原理，采用有限元离散化方法，求解有限长径向滑动轴承任一时刻的油膜力及相应的Jacobi矩阵。

The unbalance forces due to the lumped eccentric mass are treated as general forces. Meanwhile, the potential energy expression about gravity based on finite element method is presented for convenience. Based on the variational inequalities principle, the finite element is used to determine the film forces produced by fluid film bearing and damper at any moment and its Jacobian matrix with respect to location and velocity of journal and bearing house.

在第二部分中，主要应用有限元方法及Hamilton原理对所研究系统进行了建模分析，着重对质量偏心问题进行了分析处理，并对此提出了两种处理方法：一、转化为对系统动能的影响；二、将其产生的离心惯性力视为非保守的广义力，并对其表达式进行了推导，同时为分析问题方便，基于有限元离散化方法，推导了重力的势能表达式。

University ,Changsha 410075,HunanAbstract: In view of the deficiency in methods for choosing zonation indicators of mudflow danger degrees,a new method for choosing zonation indicators of mudflow danger degrees is put forward based on the rough set theory in this paper.Firstly,according to the environmental conditions of forming mudflows,an indicator choice system is established.Then the indicators for choice are discretized by indicator grading.Finally,based on the discernable matrix of the rough set,a core set of the indicators is found and the representative indicators are sieved out.

摘 要：针对现有泥石流危险度区划指标选取方法的不足，本文基于粗糙集原理，提出了一种新的区划指标选取方法，即首先根据泥石流形成的环境背景条件，建立备选指标体系，然后根据指标等级对备选指标离散化处理，最后利用粗糙集的分辨矩阵对指标进行求核约简，筛选出代表性指标。

Finally, natural frequency is obtained by the existence condition of nontrivial solution of the numerically discrete algebraic equations derived from the integral equations.

最后由积分方程的离散化方程组有非平凡解的条件，求得固有频率。

In this paper,the numerical methods for the LS equation of three-dimensionaldetonation wave are introduced.

本文提出了在三维直角坐标系中爆轰波传播LS方程离散化方法，建立了相应的差分方程，研究了对不同形状炸药在多种起爆形式(点、线、面、散心、聚心)下初值条件的设定，以及各种边界条件的处理方法。

It mainly finished the following several jobs. Pretreated the documents. Improved the Okapi term weighting formula. It also separated the term weighting and completed attributes reduction and rules extraction tasks. Firstly it reduced the feature vector dimensions by using discernible matrix. Then reduced it again by computing relative reductions.

主要完成了以下几个方面的任务：对文本进行了预处理；改进了Okapi权重计算公式，并对权值进行了离散化；实现了属性约简和规则抽取，首先利用区分矩阵对特征向量维数进行了初次压缩，然后通过相对约简计算再次压缩了特征向量维数，并生成了决策规则；采取了规则合成的策略，生成最终的决策规则；设计了一种文本与规则的匹配算法，使匹配过程尽可能简单有序。

In this paper,based on the skew tent map, a class of discretized finite state chaotic maps are proposed which allow an exact numerical study without round_off errors.

基于skew tent映射，提出了一类离散化的有限状态混沌映射，它允许精确的数值计算，没有舍入误差。

Delta operator is a new discretization method.

Delta算子是一种新的离散化方法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。