数学基础

The optimization models which take into account the representation of FACTS devices, the line flow and the node-voltage constraints and based on simulated annealing is developed. For continuous variables with upper and lower limits, a method of outgrowing adjacent states is proposed.

5针对含FACTS装置的有功优化潮流问题进行了探讨，建立了基于交流潮流算法的含FACTS装置的有功优化潮流数学模型；在此基础上，运用模拟退火算法实现了该问题的求解。

As a result, for feed-forward NN model this paper first proposes the concepts of"attractor"and"attraction region","fake attractor"and"fake attraction region", and norm of describing"attraction region". Further this paper presents a mathematics method of calculating feed-forward NN"attraction region", it solves the overelaborate job of checking NN fault-tolerance performance by testing all detecting samples, so to test fault-tolerance performance using theoretic characteristic norm is an important break. In accordance with feed-forward NN low fault-tolerance and difficult to satisfy practical application, according to practical application theory, this paper presents an actual method of enhancing NN fault-tolerance performance, builds the mechanism of reconstructing NN model based on combining NN and fuzzy process, reforms NN "fake attractor"and"fake attraction region"to enhance NN fault-tolerance performance greatly.

为此，本文首先给出了前馈NN模型的&吸引子&和&吸引域&，&伪吸引子&和&伪吸引域&的定义，以及描述吸引域的指标，在此基础上提出了一种计算前馈NN模型&吸引域&大小的数学计算方法，该方法提出解决了目前依靠对检测样本的测试工作来检验NN容错性的繁琐工作，而用具理论意义的性能指标来检验，这是一个重要的突破；针对前馈NN容错性较低以致难于满足实用的缺点，根据NN实用稳定性理论，提出了一种提高其容错性的实用方法，建立了基于NN与模糊处理相结合的NN模型重构机制，重构NN&伪吸引子&和&伪吸引域&来大大地提高NN的容错性。

In order to benefit from this new technique without any dangers, on the basis of the arguable contents, the paper put forward a series of principals with the knowledge of systematical philosophy, mathematics and ecological . agriculture: welfare principal, invariable principal of gene, non-spread principal of gene, equal principal of substance and informed perfectible principal.

为了从这种新技术成果中获得好处，同时又不会带来风险，本文以争论的内容为基础，从转基因作物能比传统农作物带来更多的社会效益的角度出发，运用系统哲学、生态农业和数学的一些知识，提出了转基因作物研究和推广中遵循的一系列原则：福利原则、基因稳定性原则、基因不扩散原则、实质等同性原则、以及知情选择原则，并进而建立起评价具体的转基因作物的社会效益的模型。

By analyzing the basic functions of vehicle active suspension, the vibration control for these systems is mathematically translated into a multi-objective control problem for polytopic uncertain systems.

首先在分析汽车主动悬架的基本功能的基础上，将主动悬架的振动控制在数学上表述为一个凸多面体系统的多目标控制问题。

The experiment studies production craft of millet milk, and how to solve stability , preservability and other key craft parameter of products, then setting up mathematics model between the stablizers;.Studed on the fermented millet milk craft on this basis , we confirm the best matching of the fermentation adjunct through sense organ , physics and chemistry evaluate.

本实验主要研究米奶的生产工艺，并对如何解决产品的稳定性、保藏性等关键工艺参数进行系统的研究，从而对所用稳定剂之间的相互作用建立了数学模型；在此基础上进行发酵米奶工艺的研究，重点进行了发酵剂的优选，通过感官、理化等综合评定，确定了发酵剂的最佳配比。1。

Secondly, interpret the water-bearing status of drainage-base substance fromTM,according to the water-bearing spectral features,using GIS and RS technologies,based on thesurveying hydrologic data,and build up the projectional mathematical model of the Karstdrainage low-flow resource, in order to solve the calculation of the amount of low-flow resourcesin no documents and data regions.

二是以实测的水文数据为基础，利用 GIS 和 RS 技术，根据赋水光谱特征，从 TM 影像判读枯季流域下垫面物质赋水状况，建立喀斯特流域枯水资源预测的数学模型，用于解决无资料、无数据地区枯水资源量的计算。

Chapter 4 of this dissertation has carried out a physical simulation study about the processes of formation and laws of evolution of the fan delta in Baimiao gas field. Based on the results of the study about the geological background in this area, this paper has discussed about the sedimentation facies marks for the fan delta in Baimiao gas field, worked out a detailed proposal about the development of physical simulation experiment about the fan delta, and described in detail the general laws and major controlling factors governing the sedimentation processes of the fan delta. A detailed measurement was made about the experimental results, and a systematic comparison was made relative to the prototypic characteristics. Based on the observation and description about the experimental processes and the analyses about the experimental results, this paper has give

在本章中，指出了数值模拟研究的基本特点，给出了扇三角洲形成过程的基本控制方程和数学解法：在此基础上设计和开发了扇三角洲形回成过程的平面二维数值模拟软件，并对计算过程中所遇到的主要问题一计算速度较慢开展研究，对比了以天、旬、月为时间单元进行汁算对沉积结果的影响，研究认为，在流量无突变的情况下，可以适当增长计算的时间步长和适当放松精度要求；根据白庙气田扇三角洲的基本地质特征设计了数值模拟计算的基本条件，以月为单位，计算了扇三角洲四百年的形成过程及演化规律，并以50年为单位输出沉积结果；本章最后还对数值模拟方法及结果进行了讨论。

In this paper the optimal conditions for sublimate crystallization refining of pyromellitic dianhydridewas studied,and on the basis of PMDA equilibrium vapor pressure under the contant temperature,the mathematical correlation for sublimate crystallization conditions was deduced.

研究了均苯四酸二酐凝华结晶精制的最佳条件，并以均酐在定温下的平衡蒸汽压为基础，推导出凝华结晶条件数学关系式。

The numerical calculations of quaternion matrices The quaternionic quantum mechanics is a new coming disciplines of physics, because of noncommutation of quaternions, some numerical calculation methods of quaternion and quaterinon matrices are complicated and tedious.

四元数矩阵的数值计算问题四元数量子力学是近十几年来才发展起来的一门新兴的物理学科，由于四元数乘法的不可交换性，使得四元数量子力学中的四元数数学理论基础，特别是有关四元数问题的数值计算方法很不完备。

On the basis of analyzing the construction characteristics and the working proce ss of a revolving spade soil opener a mathematical model was established to desc ribe spade moving trace.

在分析铲式成穴器的结构特点和工作过程的基础上，建立了打穴铲运动轨迹的数学模型并分析了打穴铲的运动规律和成穴机理。

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。