符号法

The adjoint operator method and the theory of normal form are used to investigated the normal forms in the four dimensional nonlinear systems with cubic nonlinearities. We give two methods to compute the normal form for the four dimensional nonlinear systems. The corresponding Maple programs are also given in the appendix. The results obtained in this dissertation have a completely agreement with the results obtained in other papers.

利用共轭算子法和规范形理论研究了含有三次非线性项的四维系统的规范形，给出了计算四维非线性规范形的两种算法，给出了相应的Maple符号推导程序，所得到的结果与其它文献所得结果完全一致。

Mathematics mechanization; Symbolic computation; Exact solution; Auxiliary equation method; Soliton

基础科学，数学，数学分析数学机械化；符号计算；精确解；辅助方程法；孤立子

This article detailedly expatiated upon the principles, contents and methods of cropland classification; it analyzed the necessity to combine the work of cropland classification with GIS technology, summarized the attributions of ARC/INFOand some other related softwares; it established the technologic route of cropland classification supported by GIS, by a case study in Liwu Town,Li County Hebei Province, this article expatiated the practicable mechanism of combining the function of ARC/INFO with the work of cropland classification, and put forward some new ideas and approaches of utilizing GIS: this paper put forward the idea of coding the polygons in the basic graphic database such as soil map and land use map according to their attributes, and put forward the detailed coding project; based on the code databases, it expatiated upon the detailed approaches to create single梖actor map and output the final classification map; it put forward the principles and the method of creating classification units in the environment of GIS, that is how to keep the lines of soil polygon, the border of districts and the important objects such as residential areas, banks of rivers and roads ,and how to overlap single梖actor soil map and land use map, and to delete some vector lines of the overlapped map appropriately; it detailed the methods of creating mathematic model of classification coefficients in the environment of computer, and used FOXPRO6.0 programs to realize the automation of calculating coefficients; it represented the method of plotting the final map by overlapping various coverages according to the code tables and lookup tables, the process of outputting the cropland classifying map was finished by program.

本文法对耕地等别划分的原则、内容及方法作了较详细的阐述，介绍了多系数综合修正法的耕地等别计算方法及其具体应用和AHP的确权方法；分析了耕地等别划分工作与地理信息系统技术相结合的必要性，简要介绍了地理信息系统软件ARC／INFO及其他相关软件的功能特点，制定了地理信息系统支持下耕地等别划分的技术路线，通过对河北省蠡县蠡吾镇的实证研究，重点阐述了ARC／INFO及相关数据库软件与耕地等别划分结合的有效机制及GIS应用的一些新思想、新方法：提山了对土壤图和土地利用现状图等基础图形数据库进行特征编码的思想和具体的编码方案，阐述了基于与图形库相链接的特征编码表，单因素图提取、成果图的输出的具体实现方法；提出了GIS环境下耕地单元划分的原则和方法，即在保留土壤因素图斑界线、行政界线和重要地物等的原则下，将土壤单因素图和土地利用现状图进行拓扑叠加，对叠加图中的矢量线进行适当的删除；阐述了在计算机环境下，耕地分等参数计算模型建立的方法，并用FOXPRO6.0语言程序实现了参数计算的自动化；阐述了根据图形库特征编码表和建立绘图符号查找表，按不同图层叠加绘制成果图的方法，该过程用命令程序实现耕地等别图的输出。

In this paper, firstly the elimination tree theory is introduced in brief, and the structure of Jacobian matrix is determined by use of symbolic factorization; then by use of sparse vector method each column of lower triangular matrix L and each row of upper triangular matrix U are solved.

介绍了消去树理论，并采用符号因子分解技术确定雅可比矩阵的结构，然后采用稀疏向量法求取L阵的每行和U阵的每列。

In this paper, an indexing scheme, inspired by the Dewey decimal notation, is proposed for simplifying the implementation of the search algorithm.

本篇文章首先介绍一种索引架构，可以简化上述搜索演算法的施行。这种索引架构，主要是起因於杜威的十进位符号观念。

In this paper, the modeling theory of multi-rigid-body dynamics was thoroughly investigated in order to make up the shortcoming in the above modeling method. The major research achievements are as follows:①Based on the matrix of direction cosine between the body-fixed base and the reference base, and Poisson equation of a rigid body rotating, the coordinate transformation method for the modeling of treelike multi-rigid-body dynamics is derived. The method is very routinization and easy to use the computer to carry on the symbol derivation.

本文针对上述建模方法存在的不足，深入地研究了多刚体系统动力学的建模方法，并将所研究的新方法应用于惯性振动设备的建模，取得的主要研究成果如下：①基于刚体连体基关于参考基的方向余弦矩阵和刚体转动的Poisson方程，导出了建立树形多刚体系统动力学方程的坐标变换法，其过程极其程式化，便于利用计算机进行符号推导。

But for the middle and large scale problems, the computation cost by symbolic differentiation is very expensive. When the direction derivative is evaluated, the computation cost by divided difference can be reduced, but it is only one kind of approximate computation.

对于大中规模问题来说，使用符号微分，成本昂贵，有时甚至不可行，在计算导数的方向梯度时，利用差分法虽然可以降低计算成本，但得到的是近似值，而且确定恰当的差分区间也很困难。

From third chapter to seventh chapter , unscrambled detailedly Godard's five films.

第三章《筋疲力尽》重点分析了影片运用到的长镜头和"跳接手法"的运用；第四章《阿尔法城》从分析叙事结构开始，详细分析了该片黑白影像以及光影的美学效果；第五章《中国姑娘》把影片色彩、画面的几何线条作为研究重点；第六章《狂人皮埃罗》从心理学上对影片的色彩展开分析，重点探讨画面的不对称构图；第七章《卡宾枪手》从电影符号学的角度对该片的镜头语言进行分析。

First, the components of symbolic interactionism and school organizational culture are investigated. Then, one elementary school is sampled to collect data by participant observation and focus groups and the data are analyzed.

因此，本研究分成几个部份来作一探讨：首先，探究符号互动论的内涵，以及学校组织文化的意涵，再以一所国小作为研究样本之实例举隅，并以参与观察与焦点团体法所搜集的资料进行分析，以检验本研究之信实度。

Maths language is a kind of language formed by maths Symbol,maths terms and improved natural language proper use of artistic langrage in teaching can make the lesson move actire ,and can sublimate the teaching while we should observe the three sourles of teaching and teaching proless ,science,technique and art,and renew the way of study leading students into the holy palace of maths,let them catch the way of thinking about maths maturally, and frnally nurtured by the beauty of maths.

数学语言是一种由数学符号、数学术语和经过改进的自然语言组成的科学语言，在教学是恰当的运用艺术语言可以活跃课堂、升华教学。但是我们一定遵守教学和教育过程的三个源泉：科学，技巧，艺术，适当地用口诀法更新学习方法。把学生领进华美的数学殿堂，使学生自然而然地达到对数学思想方法的领悟，受到数学美的熏陶。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。