数学分析

Based on a great many literature, this paper analyzes and summarizes the genetic algorithm for the design of structural optimization. The basic conceptions and primary characteristics are introduced in this paper. This paper discuss some primary factor when genetic algorithm applied on optimal design, for example the mathematical model、the constrained problem、the initial population and the controls parameter of genetic algorithmAimed at the characteristic of structural optimization and finite-element analysis, this paper accomplishes the optimal program based on the simple genetic algorithm.

在广泛阅读文献和调研的基础上，本文对遗传算法及其在结构优化设计应用中的相关内容进行了分析和综合，对结构优化设计的基本概念、主要特点进行了介绍，对遗传算法应用于结构优化设计时的数学建模、约束条件处理、初始种群的产生及其遗传算法控制参数的选择几个关键因素作了概要的分析与研究。

In this dissertation, we apply fuzzy mathematics and optimization theory to study portfolio selection problems and try to establish a new framework for investment analysis.

本文综合应用模糊数学和最优化原理来研究证券投资组合选择问题，试图为投资决策分析建立一种新的分析框架。

In response to the relationship between cavitations and wake gradient, this paper puts forward 3 kinds of calculating model of propeller exciting force , then puts the actual exciting force into pattern formula, and then obtains a new formula to predict propeller-induced hull surface pressure fluctuations by analyzing and calculating some actual ships.

在深入研究国内外螺旋桨激振力计算方法以及综合分析影响螺旋桨激振力的各种要素的基础上，根据空泡数和伴流梯度的关系，本文提出三种螺旋桨脉动压力的计算模型，将反推得到的实际激振力分别代入模型公式，应用数学统计方法对几条实船进行计算分析，得到用于预报螺旋桨表面力的新公式。

The main achievements could be summarized as follows.1. The basic stress-strain characteristics and related physical mechanisms for sands under cyclic rotation of principal stress axes were investigated based on three kinds of drained tests including fixed principal stress axes, cyclic rotation of principal stress axes with magnitudes of principal stresses kept constant, and cyclic changes of principal stresses in both their axes and magnitudes. The main deformation behavior of sands with inherent anisotropy under cyclic rotation of principal stress axes with magnitudes of principal stresses kept constant was obtained in the following.

本文从试验研究、规律分析、数学建模和工程应用四个方面，对应力主轴循环旋转条件下砂土的变形特性进行了较为深入的研究，取得了如下主要研究成果：(1)基于对饱和砂土进行的主轴固定单调剪切、纯应力主轴循环旋转以及主应力幅值与应力主轴耦合循环变化的三类完全排水试验成果，分析和揭示了应力主轴循环旋转条件下砂土的基本变形规律，并探讨了其受力变形的内在机理。

Through the discussion on the calculating methods for failure probability of element section with the influence of one or more human errors ,a mathematic analytical formula under ideal known conditions is deduced.

通过对单个或任意多个人因差错影响下构件截面失效概率计算方法的分析讨论，推导出在理想已知条件下的数学解析求解公式；在考虑人因差错对结构参数影响程度的空间离散化后，得出了相应的简化计算方法；并以一个单筋梁的正截面为例进行了失效概率计算和人因差错影响程度分析。

Comparisons between the interval analysis method and the probability perturbation finite element method in mathematical proof and numerical examples are performed, which show the advantages of the presented method, including less prior information need on uncertain parameters and higher accuracy.

从数学证明和数值算例两方面，将其与概率摄动有限元法进行了比较，结果显示区间分析方法对不确定参数先验信息具有要求较少、精度较高的优点。关键词动力响应，非线性振动系统，区间分析方法，概率摄动有限元法，不确定参数

Based on the analysis of a group of gait plates of quadrupedal animals, the conformity and continuity among all gaits from crawl through gallop are revealed. A unified mathematical model of various gaits is established, which forms the basis of further study of analysis and control of gaits.

通过对四足动物步行运动步态的图片资料的分析，揭示了动物从爬行到奔跑之间各步态在时序上的一致性和在步态参数上的连续性的内在规律，建立了这些步态统一的数学模型，该模型可作为动态步行运动分析和控制的基础。

With sevaral mathematical methods such as the theory of quantification,Fuzzy mathematics and analytical evaluation,this paper,providing its analysis and evaluation of the gas production situation,and the earthquake and geological data,descovered the internal relations between earthquake information, petroleum and gas deposit codition.

采用数量化理论、Fuzzy数学方法与判别分析法对油气井的产气状况和地震、地质信息进行了分析与评价，找出了地震信息与油气状况的内在联系。

Based on the elasticity theory axial symmetry question quasi static, the back lining material stress characteristics were analyzed. Using photoelastic theory and thermal stress theory, the influence of temperature to the optical fiber phase constant was analyzed.

首先从弹性力学轴对称问题的准静态理论出发分析了背衬材料的应力特性，并用光弹理论及热应力理论分析了温度改变对光纤相位常数的影响，得出了温度影响干涉式光纤水听器光学相位输出的数学表达式。

Although this structure is comparatively complex, it still can be divided into sub-strctures to study. This paper puts forward for the first time the loop geometric model of MBWK fabric reinforced composite. And based on this research, the total structural model for the MBWK fabric reinforced composite was also derived subsequently. In addition, the Non-Uniform Rational B-Spline Curve NURBS for abbriv.

我们经过合理分解复合材料的内部结构，对实际结构作了必要的简化之后，得到了可以进行几何和力学分析的结构单元，也就是说，线圈结构可以用数学方法描述，所以本论文第一次提出了MBWK织物增强复合材料线圈结构的几何模型并分析了这种复合材料整体的结构形态特点。

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。