数学基础

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 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。

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 algorithm Aimed 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。

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。

Further more, based on the analysis of Bayesian AR model and MA model , we analyzed the Bayesian ARMA model and its mathematical structure. Mainly analyzed the Bayesian ARMA(1,1) model, and constructed the model condition likelihood function and the parameters posterior distribution.

同时，以时间序列AR模型及MA模型的贝叶斯分析为基础进行了时间序列ARMA模型的贝叶斯分析，从分析ARMA模型的数学结构开始，重点进行了ARMA(1，1)模型的贝叶斯分析；构建了模型的条件似然函数和参数的先验分布，推导其参数的条件后验密度和边缘后验密度；并借用一组SAS软件模拟的ARMA(1，1)序列，通过WinBUGS进行仿真分析。

A counter-current multistage leach ing process has been analyzed and used to leach potassium from roasts of potash feldspar, gypsum and calcium carbonate to increase the potassium recovery and the potassium sulfate concentration in the filtrate of the first stage.

采用多级逆流浸取操作方式以提高钾长石热分解烧成物浸取液中硫酸钾的浓度和浸出率，在对浸取过程进行分析和合理假设的基础上对过程进行了数学描述，建立了浸取过程相应参数的计算式。

This kind of instruction has great value in teaching practice.

第二部分开放式数学教学模式的理论基础。

According to the working principle of spring-tooth plastic film collecting machine,this article established spring-tooth s preconcerted track equation,which provided a basis for analysis of force,design optimization of slide track and so on.

文章针对弹齿式收膜机的工作原理，对弹齿的预选轨迹用数学方程进行描述，为后续的弹齿受力分析、滑道轨迹的设计优化等提供了理论基础，具有重要的意义。

On the basis of the research on the lower beam structure of the hydraulic presser,based on 3D solid element,its finite element model and mathematical model of structure OPT have been established.

在对某液压机下横梁结构研究的基础上，选用实体单元，建立了下横梁的有限元模型和结构优化数学模型。

Based on the structure of a digital electronic-pneumatic cabin pressure control system, mathematical models are established. The models include the cabin, the controller and the outflow valve.

在分析数字电子气动式座舱压力控制系统结构的基础上，建立了座舱及控制系统中执行机构各部件的数学模型。

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。

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。