模型理论

On the basis of the researching the neural network theory, presenting the neural network model (N-SearCut model) for searching for minimal cutset of a graph, proving the stability of this model, analyzing the dynamic behavior of this model, deducing a series of corresponding theorems and affording an academic fundaments for solving optimization problem based on this model.

在研究人工神经元网络理论基础之上，提出了搜索图最小割集的神经网络模型——N-SearCut模型，证明了该模型的稳定性，分析了该模型的动态特性，导出了一系列的定理，为运用该模型进行优化问题的求解提供了理论依据。

This model is different from the structural dynamics model in a non-inertial reference frame with large overall motions known.

本文从力学基本原理出发，分析了刚柔耦合零次近似理论失效的原因，深入研究了有大范围运动的柔性体变形场的描述，建立了刚柔耦合一次近似的动力学模型；然后利用上述模型，从非惯性系下的结构动力学问题和大范围运动为自由的刚柔耦合动力学问题这两个层次上进行了刚柔耦合动力学建模理论与性态的研究，采用理论和实验相结合的手段来检验了一次近似刚柔耦合动力学模型的正确性。

In the first part, firstly, we introduce the nonstandard analysis theory simply. Using the axioms in nonstandard analysis, the nonstandard model is axiomatic approached, and the existence of nonstandard model and the consistence of axioms in nonstandard analysis are proved by the construction of nonstandard model. Secondly, some properties of nonstandard model are discussed, such as transitivity, Boolean properties, etc. Finally, Loeb measure spaceY,L

在第一部分里，首先对非标准分析理论进行了简单的概述，通过用非标准理论中的公理，给出了非标准模型，进而利用非标准模型的构造，证明了非标准模型的存在性和非标准模型中公理的一致性；其次，讨论了非标准模型的一些简单性质，如传递性，布尔代数运算性质等；最后，在内测度空间Y，

Secondly, it recapitulative analyses the interrelated theory and measure of quantitative analysis of Human Resources Capital and economic growth and comparatively analyses the fit measure of quantitative analysis for the paper.

第二，阐述了人力资本与经济增长的相关理论和定量分析方法，主要包括早期的人力资本理论、舒尔茨的人力资本理论、哈罗德-多马模型、新古典经济增长模型以及新经济增长模型，并分析比较出较适合本文的定量分析方法。

The main contents of this course include: the principles and methods of statistical modeling, the estimation, testing and diagnosis of linear regression model, the theories and analytic methods of time series model, robust estimation theory, a simple introduction of general model and non-parameter model.

本课程的内容有：统计建模的原理与方法、回归模型的估计与检验问题、线性回归模型的诊断分析、时间序列模型的理论与分析方法、稳健估计理论、广义模型与非参数模型简介。

Secondly, according to the theory of retrieving model using time series and the self-memorization principle, the grey self-memory model based on grey system theory and phase space self-memory model established using chaotic theory are put forward, and the two kinds of models are applied to the analogy and forecasting of hydrologic time series, and the application field of the self-memory model is further expanded from extent and profundity.

更进一步，根据时间序列反演建模基本理论和系统自记忆性基本原理，提出了基于灰色系统理论的灰色自记忆预报模型和基于混沌理论的相空间自记忆预报模型，并应用于水文时间序列的模拟与预测，从广度和深度上更加拓广了自记忆模型的应用范围。

Secondly,as an application ofφ-mapping topological current the-ory,the vortices in TDGL model have been studied.Some importantartificial hyperthesises in other theories have been changed into naturalresults ofφ-mapping topological current theory.The inner structureof vortices system in the TDGL model has been obtained in terms oforder parameter field.For the first time,the branch process of thevortex system in the TDGL model have been discussed.

其次，作为Ф-映射拓扑流理论的重要应用，本文研究了TDGL模型的vortex动力学，对过去该模型中的一些人为假设给予了合理而严格的理论基础，用序参数的Hopf指数和Srouwer度表征了拓扑荷，建立了该系统拓扑性质的新理论，并首次探讨了TDGL模型中的vortex的分岔过程。

This paper, which focused on the structure optimization theory and method, has finished such studies as follows: The three dimension model has been built, which provide the necessary conditions for the building of the dynamics equivalent model. By the launch dynamics simulation, the loads of the key joints when the rocket is launched has been got, which provide the necessary data for the finite element analysis and the structure optimization. The finite element model of the excess weight parts of the rocket has been built, buy the finite element intension analysis of the model in two conditions, the displacement and the stress of the key points have been got, which make us know the distributing of the stress and the transmogrification of the part. To satisfy the intension and the precision design request and to decrease the weight of the part as many as possible, the part has been topology optimized by the structure optimization theory and method. After that, the new model has been analysis in structure and launch dynamics. The contrast of the character change of the old part and the new part and the influence on the rocket system have been studied.

本文以结构优化理论和方法为核心，主要做了以下工作：建立了某自行火箭炮全炮三维实体模型，为建立该火箭炮系统的动力学等效模型提供了必要条件，进行了发射动力学仿真，得到该火箭炮发射装置各关键连接部位在发射状态下的载荷，为有限元分析和结构优化提供了必需的数据；建立了该火箭炮发射装置超重部分的有限元模型，分两种工况，对模型进行了有限元强度分析，得出了关键部位的位移和应力值，对其的应力和变形分布有了具体的了解；运用结构优化的理论和方法，对该火箭炮发射装置超重部分进行了拓扑优化，使其在满足强度和精度的要求下尽可能多地减轻重量，对优化后得到的模型进行了结构分析和发射动力学分析，对比了该部件优化前后的特性变化以及对火箭炮系统的影响。

According to the research object and core, the competitory power of bio-industry, this thesis was unfolded from four aspects: Firstly, we put forward the competitory power of bio-industry theory, its concepts and categories, analytical frame and theories structure from analyzing its influence and determinant system; Secondly, appraisal models, based on deciding factors, composing factors and realizing factors, were respectively established, by using related mathematics method, cooperate theories, management and economics theories; Thirdly, according to the research on life cycle of bio-industry, we analyzed the characteristics and countermeasures of its competitory power changing at different stages; Fourthly, we focused on the core carrier of the bio-industry andits competitory power--the bio-industry cluster (life science industry park and biologicvalley), the bio-industry cluster theories and the park-area competitive factors and the capital market and the financing competition which are important drive factors of the competitory power of bio-industry. Firthly, making use of the evaluation model of bioindustrial competition ability, we carry on bioindustrial competition ability comparison of the United States and Chinas, and evaluate a substantial evidence.

针对本论文的研究对象和研究核心——生物产业竞争力，从五个方面展开研究：一是构建生物产业竞争力理论，提出和界定生物产业竞争力的概念和范畴，从影响和决定因素系统分析入手，研究生物产业竞争力的分析框架和理论结构；二是创建生物产业竞争力分析评价指标体系与模型，运用相关数学方法、协同理论、经济学和管理学理论，以生物产业竞争力的决定因素、构成要素和实现要素为依据，分别建立分析评价模型；三是研究生物产业竞争力生命周期，针对生物产业发展的不同阶段和特点，分析生物产业竞争力变化特点和应对策略；四是研究生物产业及其竞争力的核心载体——生物产业集群(生命科学产业园、生物谷)，研究生物产业集群理论和园区竞争要素，对生物产业竞争力的重要驱动因素——生物产业资本市场和融资竞争，进行分析探讨，并提出生物产业竞争的战略路径。

Theorem 2.1.11 Let T be〓-categorical.Then for any formula〓,fractiontheory〓is either〓-categorical,or has exactly countably many countable models up toisomorphism.Moreover,all these countable models are〓-homogeneous.

定理2.1.11 若T是〓范畴理论，则任给公式〓，分式理论〓或者是ω-范畴理论，或者只有可数多个可数模型并且这些可数模型都是可数地齐次模型。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失