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Four classes of partition models , empirical models , functional equilibrium models , optimal control models , and source-sink models were reviewed in this paper. The empirical models were widely used with minimal mechanistic assumptions. The function equilibrium models were successful in the simulation of the rootPcanopy ratio at the periods of the vegetative growth , but were poor to simulate portioning among other organs. The optimal control models were suitable for the modeling under the equilibrium state. The source2sink models were the most powerful and mechanistically based models capable of simulating dynamic photoassimilates partitioning between any organs of the plants.

对于同化物分配模型按照经验模型，目的性模型，源汇关系模型进行了总结归纳，分析指出：经验性模型应用最多但机理性差；功能平衡模型在模拟营养生长阶段同化物在条与根之间的分配很成功，但应用于其它器官之间很困难；最优化模型适于模拟平衡态下同化物的分配；源汇关系模型机理性最强，可模拟任何器官间的同化物分配，应用范围最广泛。

Density Functional Theory method was used to optimize the geometries of 209 PCDE molecules, 209 PBDE molecules and 75 PCDD molecules at the B3LYP/6-31G* level. Using computed structural parameters as theoretical descriptors, the forward stepwise multiple regression technique was adopted to obtain QSPR models of environmental partition properties for these POPs by using GQSARF 2.0 and SPSS12.0 for windows programs. The obtained QSPR models are as follows:(1) QSPR models for predicting subcooled liquid vapor pressure, n-octanol/water partition coefficients lgK_(ow and subcooled liquid water solubilities -lgS_(w,l of PCDEs, of which correlative coefficients (R~2) are 0.988, 0.958 and 0.959 and the root-mean-square-error of estimation are 0.134, 0.116 and 0.327 respectively.(2) QSPR models of lgPL and n-octanol/air partition coefficients lgK_(oa for PBDEs, which both contain three structural parameters. The values of R2 for the two models are both 0.997 while the values of RMSEE are 0.073 and 0.062 respectively.(3) QSPR models of lgKow and–lgS_ for PCDEs, which both have one variable (mean molecular polarizability,α). The values of R~2 for the two models are 0.978 and 0.866 and the values of RMSEE are 0.300 and 0.270 respectively.(4) The molecular structures of 24 substituted naphthaline compounds were optimized using Hartree-Fock and DFT methods at four different levels and the same means was used to obtain four three-parameter (EHOMO, q~+ andα) QSPR models of lgK_. The model at the HF/6-311G** level is the best one of which R2 is 0.9662 and RMSEE is 0.380.(5) QSPR study for environmental partition properties of PCDEs was also performed using position of Cl substitution method in which simple parameters of substitution position were taken as descriptors. The multiple linear regression was performed with GQSARF 2.0 and SSPS 12.0 for windows programs to obtain QSPR models of lgP_L, lgK_ and–lgS_ for PCDEs of which R~2 are 0.991, 0.983 and 0.965 and RMSEE are 0.311, 0.100 and 0.300 respectively.

采用密度泛函理论方法在B3LYP/6-31G*水平上对PCDEs、PBDEs和PCDDs的分子结构进行了全优化计算，以计算得到的量子化学参数作为理论描述符，采用GQSARF 2.0和SPSS 12.0 for windows统计程序进行正向逐步回归分析，建立了这些POPs的环境分配性质的QSPR模型：(1) PCDEs的过冷液体蒸汽压、正辛醇/水分配系数lgK_(ow和水溶解度-lgS_(w，l的QSPR模型，这3个QSPR模型的相关系数(R2)分别为0.988、0.958和0.959，估计的均方根误差分别为0.134、0.116和0.327；(2) PBDEs的lgPL和正辛醇/空气分配系数lgK_(oa的QSPR模型，这两个模型都包含三个分子结构参数，其R~2都为0.997，RSMEE分别为0.073和0.062；(3) PCDDs类化合物的lgK_和-lgS_w的QSPR模型，两个模型都只含一个变量，其R~2分别为0.978和0.866，RSMEE分别为0.300和0.270；(4)采用Hartree-Fock和DFT方法，在4种不同水平上优化计算了24个取代萘系列化合物的分子结构，采用上述同样的方法分别建立了四种水平上的三变量lgK_模型，通过比较得到，在HF/6-311G**水平计算得到的模型最好，R为0.966，RSMEE为0.380；(5)同时，采用氯原子取代位置方法对PCDEs的环境分配性质进行QSPR研究，建立了PCDEs的lgPL、lgK_和-lgS_的QSPR模型，其R~2分别为0.991、0.983和0.965，RSMEE分别为0.110、0.100和0.300。

On the base of reviewing the development of NSP models, some deficiencies of existent models are analysed and listed as follows: most models can be applied only to very small watershed; mechanism models involve too many parameters which can not be calibrated properly by limited data; amoung practical models, empirical models are much more common than mechanism models; most models are focus on the conservative soluble pollutants rather than non-conservative and particulate pollutants; almost all models rely highly on the measured data, and there are fewer studies about the load estimation for ungauged areas.

本文在评述非点源污染模型研究进展的基础上，分析了现有模型的不足，主要有：大多数模型只能适应于很小的流域面积；机理类模型参数过多，率定困难，应用效果不理想；实用模型中，经验类模型多，机理类模型少；对保守性的液态污染物研究得较多，对非保守性和固态污染物研究得较少；各类模型均高度依赖于实测资料，无资料地区的模型或预测方法研究得很少。

Abridgement ）:Mathematics Olympiad entitled to carriers, a mathematical way of thinking on the meaning: mathematical thinking is to understand the nature of mathematical knowledge, from some of the specific content of mathematics and mathematical understanding of the excessive rise in refining a mathematical point of view, is a mathematics knowledge Structure of the essence and soul of the commander in chief and it played the dominant role of mathematical knowledge.

以数学竞赛题为载体，阐述了数学思想方法的涵义：数学思想就是对数学知识的本质认识，是从某些具体的数学内容和对数学的认识过重中提炼上升的数学观点，是数学知识结构的精髓和灵魂，它起到统帅和支配数学知识的作用。

Chapter 4, lists the teaching cases in teacher's teaching, combined the cases dissecting the teaching methods of mathematics and mathematical cerebration and methods in the point of view of psychology, then infers that to proceed the teaching of mathematical cerebration and methods is necessary. In the other hand, I compared and studied the association between the basic mathematical cerebration and methods and other mathematical knowledge, answer the questions that which mathematical cerebration and methods are more worthy to jut out. At last, infers a mode of the teaching in mathematical cerebration and methods.

第四章列举了教师在授课中的教学案例，结合案例从心理学角度对中学数学教学与数学思想方法教学进行剖析，得出进行数学思想方法教学是十分必要的；同时对中学数学教学中的数学基本思想方法与其它数学知识的关系进行了对比分析，对在中学数学教学中突出哪些数学基本思想方法为好做了解答；最后给出了数学思想方法教学的一个教学模式。

For preparing for the researches of text digital watermarking and advantaging other researchers" development when using the Chinese mathematical expression theory, this paper designs and realizes a development platform of Chinese mathematical expression. It has been proved by experiments that the platform"s function, execution speed and stability can satisfy the requirements of conversion and operation of enormous data.This research found out that the structure information of Chinese have plenty redundant information that can be used by the Chinese mathematical expression for the digital watermarking, the data embedded can possess better robustness. Based on this finding, this paper designs a kind of text digital watermarking method of embedding watermarking by using Chinese structure, and realizes the method by using the Chinese mathematical expression platform.Considering the watermarking embedding algorithms importance to the robustness of the text digital watermarking, this paper makes fully use of the advantage of the Chinese mathematical expression theory to design a kind of layered text method, which has being realized by using the Chinese mathematical expression platform. The layered text method can handle the text as a solid structure, and the embedding data havepreferable robustness.Finally, based on the researches of the text digital watermarking method and the text layered method, this paper integrates the method of making use of the Chinese structure embedding watermarking with the robust algorithm based on text layered, and realizes a brand-new text digital watermarking method. Proved by lots of experiments, this brand-new method has good robustness and better invisibility.

为了为研究工作做准备和方便其他使用汉字数学表达式理论体系的人进行开发，本文基于汉字数学表达式理论设计实现了一个汉字数学表达式平台，实现了Unicode汉字集中的汉字、汉字数学表达式、汉字的Unicode码之间的相互转化、依据汉字数学表达式提取汉字的结构信息、由汉字数学表达式在非中文平台上不依赖字库显示汉字的图像等功能，使用复合文档技术和流压缩技术进行数据的存储，使用对汉字数学表达式进行二叉树拆分来处理汉字数学表达式中包含的信息，使用自定义哈希函数来提高运行速度，实验证明，该平台功能、速度和稳定性完全能满足大量数据的转化和运算要求；通过研究表明汉字的结构信息中存在大量可使用汉字数学表达式理论加以利用的水印加载空间，加载在该空间的数据可以具有较好的鲁棒性，基于此，本文设计了一种利用汉字结构加载水印的文本数字水印方法，并使用汉字数学表达式平台将其实现；由于水印嵌入算法对于文本数字水印的鲁棒性至关重要，本文充分利用汉字数学表达式理论的优点，设计了一种文本分层的方法，并使用汉字数学表达式平台将其实现，使文本成为一个立体的空间，使嵌入在其中的数据具有更好的鲁棒性；最后在基于汉字数学表达式的文本数字水印嵌入方法的研究和基于汉字数学表达式的文本分层方法的研究的基础上，结合利用汉字结构嵌入水印的方法和基于文本分层的抗攻击文本水印嵌入算法实现了一种全新的文本数字水印方法，经实验证明，该方法有良好的鲁棒性和较好的隐蔽性。

Comprehensively making use of the basic theory, such as Space Analytic Geometry, Gear Meshing Engagement Theory, Method of Mathematical Calculation, Theory for Error Analyzing and Data Processing, the author has established the mathematical models of the new method, which has included the analytic mathematical model for precision orientation, the mathematical model for the ball's diameter and the measuring diameter, the mathematical model about the ball's centre, the calculation model for tooth alignment diviations and the model for tooth alignment error evaluation.

本文综合应用空间解析几何学、啮合原理、计算方法、误差理论与数据处理等有关基础理论，推导建立了新方法的数学模型，包括：确定定位关系的解析法数学模型，测球直径与测量半径的数学模型，测球球心的数学模型，齿向偏差的计算模型以及齿向误差的评定数学模型等。

But going with the power system"s development, many new excitor models, PSS models, turtine models, governor models and boiler models appear. It"s not satisfied to increase new interior models in model library. Furthermore openness is a basic characteristic of DTS. So it is very important to constitute a very high efficient, convenient and universal tool for users who can set up new models by themselves.

然而随着电力系统的发展，各种新型的励磁系统模型、PSS模型、原动机模型、调速器模型、锅炉模型不断出现，继续在模型库中新增固定模型的做法显然难以满足众多用户的要求，而DTS的一个基本要求就是开放性，因此建立一个高效、方便的通用平台，以方便用户自行构建动态仿真的模型就显得非常重要。

In building the simulation models for manufacturing missions, based on the combination with the multi-agent method and the GOOPN method, the compoundable method is presented, which makes the models more intelligent. Based on the result above, combined with the GOOPN models and the GERTS model, we put forward EPN-GERTS model through embedding Petri net into GERTS model, which can simplify the complexity in building models, and also improve the defects of GERTS model in describing resource conflicts and Petri net model in building models. In building the simulation models for development missions, the improved GERTS model is present to describe the development processes in QRMS. Through dynamically computing the redo times in GERTS, the improved model can reflect the operation character of development process. The simulation results are more precise when we use the models above.

针对构建快速研制系统的仿真对象问题，提出了基于多Agent的快速研制系统可靠性复合仿真建模方法，增强了仿真模型的智能性；在此基础上，针对制造任务，将Petri网嵌入到GERTS网中，提出了用于快速研制系统制造任务可靠性仿真的EPN-GERTS模型，简化了建模过程，同时也能考虑任务之间的资源冲突；针对研制任务，提出了用于快速研制系统研制任务可靠性仿真的改进GERTS模型，该模型可以描述设计迭代过程的动态运行特点，使仿真结果更加准确。

The basic theories of mathematical morphology for binary image are stated, and the most simple structure elements of morphologic transformation for binary images are proposed and proved. The geodetic morphologic transformation models are also developed. For the purpose of improving the speed of transformation in computer, the"set symmetric difference"is introduced to adapt each model. Some new morphologic filtering models and quantitative evaluating model of filtering effects in image processing are proposed, under the applied condition. The morphologic thinning methods are studied, and two new morphologic thinning models are developed. On the basis of analyzing the characteristics of mining maps, the image vectorizing tactics and a series of algorithms are proposed, including dynamic adaptive image thresholding using two thresholds, graphic and text separation, noise removal, and multi elements extracting models with mathematical morphology. Accuracy preserving compressed vectorizing model for image vectorization is put forward to generate vector data in multi layer.

论文对二值图象形态学的基础理论进行了较系统的阐述，提出并证明了二值图象处理中形态变换的最简单结构元素，并发展了测地形态变换模型；为了提高形态变换的计算机实现速度，引入了集合论中"对称差"的概念对各形态变换模型进行了改化；针对数学形态学在图象处理中的实际应用，提出了新的形态滤波模型及滤波效果的度量评价模型；研究了形态细化方法，提出了快速形态细化和保形快速形态细化算法；在研究矿图基本特征基础上，提出了人机协同矿图扫描图象矢量化处理策略及一系列扫描图象处理算法模型，包括双阈值动态自适应图象二值化、图文分离、噪声去除、图面多种要素提取形态变换模型等；在图象栅格—矢量转换中，提出了保精度压缩矢量化模型，以生成分层要素矢量数据。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。