数学处理

In this paper, two methods of size normalization of expression notation are studied.

符号的归一化是数学表达式识别中的一个最常见，而又最重要的预处理算法之一。

Especially coupling mathematics model and numerical simulation method.

从机理、实验和数值模拟方面，综述了近年来国内外土壤中有机污染物迁移转化过程的最新进展，重点介绍了处理耦合数学模型的的数值模拟方法，并结合土壤污染发展的特点，对今后有机污染的研究方向作了一般性探讨，提出了需要进一步解决的关键性问题。

The color scale is made using subspace method ,which can show the relationship between interference color and optical path difference.

利用部分空间法的数学原理，处理这101个样本光谱分布，建立部分空间上的色刻度尺。

In this paper,it has studied the method of dealing with changing parameter.It is derived for the optimal flight trajectory calculation model from minimum theory.A simple calculation method is applied in calculating differential equations of two points boundary value question.

针对变参数的处理方法进行了研究，给出了计算时间最短水平机动运动的数学模型，并提出了一种简单适用的两点边值问题数值计算方法。

The main contents of this dissertation are as follows:1 A station orthogonal coordinate system, which is the reference coordinate system for the three-dimension adjustment of observation data of GPS dam deformation monitoring network, has been put forward.

主要包括内容以下：(1)提出了以站心地平坐标系作为GPS大坝三维变形监测网平差的参考坐标系，推导了在该坐标系下GPS大坝三维变形监测网平差的数学模型及公式；采用拟稳平差的方法对GPS大坝三维变形监测网观测数据进行处理。

Also, a method of quasi-stable adjustment and a software system researched and explored by Visual BASIC Language have been used to process the observation data of GPS dam deformation monitoring network..3 A mathematical model of three-dimension combined adjustment with GPS and other surveying data under station orthogonal coordinate system in deformation monitoring networks, has been brought forward.

提出了站心地平坐标系下GPS观测数据与其它地面测量数据三维变形监测网联合平差的数学模型，在数据处理模型中通过参数化的方法消除或减弱垂差和垂直折光的系统误差的影响。

Orthogonal:transformation: In the image processing, orthogonal change is a very important mathematical realization method, widely used compression.

详细说明：正交变换：在图像处理中，正交变化是非常重要的数学实现方法，压缩中应用广泛。

By taking coordinated policies on some issues, such as supplement of inventory, treatment of out-of-stock and relationship among members of distribution system, a mathematical model to maximize total expected system profit is developed.

对分销中心库存的补充订货、缺货处理以及分销系统各成员之间的关系等问题采取协同策略，建立了使分销系统期望总收益最大化的数学模型，在分析模型解的存在性的基础上，探索了相应的求解方法。

Based on modern optimization theory and optimal control theory, this dissertation studies some questions as follows:1. The optimization model of parameter identification of three-dimensional geologic history numerical simulation, algorithm and its applicationGeologic history numerical simulation is a basic content of basin numerical simulation, and the porosity is the major parameter in the evolution and development process of oil-bearing basin. According to the sedimentation and burial mechanism, the physical and chemical principles of oil geology, the mudstone porositys non-linear parabolic partial differential equation has been established.

本文应用现代最优化及最优控制理论，对如下一些问题进行了研究： 1、三维地史数值模拟的参数辨识优化模型、算法及应用地史模拟是盆地数值模拟的一个基础性的研究内容，地层孔隙度是含油气盆地地史演化发育过程中的重要参数，根据地层沉积埋藏机理和石油地质的物理化学原理，通过引入数学物理方程概念，建立了泥岩三维孔隙度场方程，根据问题的特点，给出了方程的定解条件，对方程的动边界也给出了处理方法，并且证明了解的存在性与惟一性，在此基础上建立了以当今实测数据为拟合准则的三维地史数值模拟的参数辨识优化模型，这是一个含有二阶偏微分方程约束的泛函极值问题。

In order to study the whole system stability when system parameters changes, based on small signal disturbance theory, the dissertation uses partial differentiation to linear the simulation system\'s state space model, and then the first Lyapunov theory is used to analyze the stability.

采用偏微法对整个模拟系统的数学模型进行了线性化处理，基于Lyapunov稳定性理论对整个系统进行了稳定性分析，得到系统主要设计参数变化时系统的稳定性变化规律。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。