离散化

Secondly, we discuss the boundary value problem of two dimensional biharmonic equation in a rectangular field and its variational problem,discretize it by using dual tensor product of and the direct product and lining up of matrices, we get some special matrices which are the presupposition in exploring the fast computation, then solve the system of linear equations.

其次本文讨论了矩形域上二维双调和方程边值问题及其相应的变分问题，利用二元张量积小波分析和矩阵的直积、拉直技巧将变分问题离散化，从而使求解偏微分方程问题变为求解线性方程组的问题。一维情况两组基的张量积下得到的系数矩阵分别为块状七对角阵和稀疏矩阵。这些特殊结构为以后快速算法的研究打下一个基础。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

First, we discuss the noncharacteristic Cauchy problem for 1-D heat equation.

首先，对一维的热传导方程的非特征Cauchy问题，我们利用边界积分方法将问题的求解转化成解积分方程组的问题，再对积分方程组进行离散化来数值求解，最后的数值结果表明我们的算法是有效的。

In order to overcome the limitation, by using the character of in size order for continuous attributes and error theory of statistics, this paper proposes an algorithm of discretization based on cluster.

文中针对这一缺陷，利用连续数值属性有序性的性质和统计方差理论，提出了一种基于聚类的连续属性离散化算法。

In order to reduce the computer time for solving the block-matrix equations, the characteristic matrix transformation is used.

采用特征向量变换，可在保证原方程组离散化精度的条件下使计算大为简化。

Considering that the classical rough set theory can only process the discrete data, the degree of general importance of an attribute and attribute subsets was presented. And then a generalization rough set theory was proposed based on the general near neighborhood relation.

针对经典粗糙集理论仅能处理离散化数据的局限性，提出属性和属性子集的广义重要度的概念以及空间中的广义近邻关系，并提出了广义近邻关系下的广义粗糙集扩展模型。

Firstly , using the conditional independence test built the Bayesian network structure , and desensitizes remote sensing data of study area . Secondly , applying Bayesian network theorem as classification principle classifies every single pixel to a pixel of maximum probability sort .

采用贝叶斯网络分类对具有典型干旱特征的库车县土壤盐渍化情况进行监测，首先应用条件独立性测试原理建立贝叶斯网络结构，把研究区遥感数据进行离散化，然后应用贝叶斯定理作为分类原则，将每个像元分为像元最大概率的类别。

Uncertain general MDP with compact parameter set is discussed, and a sub-optimal adaptive control method is proposed.

分析和证明了一般MDP的极限分布和目标函数的连续性，并在此基础上将参数集离散化方法推广到一般MDP，获得了能够以任意给定精度实现次优的自适应决策方法。

Methods for feature space discretization based cluster algorithm and class conditional probability distribution estimation are proposed.

首先针对应用贝叶斯决策理论时难以估计类条件概率密度函数的问题，提出了特征空间离散化及相应的类条件概率分布的估计方法。

This paper presents a walking planning method based on Configuration Space Algorithm, as well as representation of virtual environment.

提出了一种基于自由空间法和环境离散化表示的虚拟人行走规划方法。

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。