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Tenth. A series of mathematical model of genetic mechanism of common population have been established,they are mathematical description of genetic mechanism of common population, so the population that the population genetics researching have extended from panmixia population, inbreeding population,selfing population to common population. It will start the new research territory of population genetics and promote its development.

本文建立了普通群体遗传机制的一系列数学模型，这是对普通群体遗传机制的数学描述，它使群体遗传学所研究的群体由随机交配群体、近亲交配群体、自交群体扩展到普通群体。

The methods quantitatively analyze the mathematical abstraction and can help revealing the inner construction of mathematical theory with rich connotation by means of the theory of partial order set and graph theory, and so on.

该方法给出了数学抽象的定量分析，主要是应用了偏序集理论和图论等一些数学方法，它有助于揭示具有丰富内涵的数学理论的内在结构。

In accordance with these questions, one kind of method solving these issues was put forward in this text, and namely adopting mathematics to build the method of pattern, by w-ay of studying the big needle drum system of PASSIM's cigarette machine, to use the mathematical model of big needle drum system of " black box " method establishment, and uses whole parameter and the correlation coefficient to map out the big needle drum system mathematical model of least square method, the question time lapse that what in accordance with the system exists pure adopts Smith compensator to estimate the compensator in advance solving the issue of system lag, and uses whole fixed method of frequency conversion control engineering and PLC's control engineering and PID etc to put into effect transforming to the system, and finally by way of theory verify and reality to verify to prove the success of system transformation.

针对这些问题，本文提出了一种解决这些问题的办法，即采用数学建模的方法，通过研究PASSIM卷烟机大针鼓系统，利用"黑匣子"方法建立大针鼓系统的数学模型，并运用最小二乘法整定出大针鼓系统数学模型的参数及相关系数，针对系统存在的纯时滞问题，采用史密斯预估计补偿器来解决系统滞后的问题，并利用变频控制技术和PLC控制技术、PID参数整定方法等对系统实施改造，最后通过理论验证和实际验证证明了系统改造的成功。

After investigation about Senior high school students" Mathematical Communication by questionnaire, the penman detects that the status of Senior high school students" Mathematical Communication is not plumy and there are lots of problems.

通过对高中学生数学交流情况的问卷调查发现，目前国内高中学生数学交流的状况不容乐观，还存在很多问题。

First, It is a key technique in this paper which is robust design mathematical model in the form of multiobjective optimization. It contains two respects, which are preprocess and mathematical expression of the model.

首先，以多目标优化问题的形式表达的健壮性设计数学模型，是本论文研究中的一个关键技术，其中包括两个部分，即建立模型的前处理过程和模型的数学表达。

The general variation principle of tension of web offset presses while running was discussed. The mathematical model of tension control was established. Based on the mathematical model and Matlab software, the tension control system simulation program was developed.

对卷筒纸印刷机在印刷过程中张力变化的一般规律进行了研究，建立了较符合实际情况的张力变化的一般规律数学模型，并用Matlab软件对模型进行仿真分析。

In chapter 4, some vector mathematical definitions are first given to position tolerance zones; second, the principle of variation geometry is introduced, and the mathematical foundation of automatic generation of a approximate linear equation of tolerance design function by variation geometry is first proven; tangent method and two-point slope method based variation geometry are main studied.

第四章首先对一些位置公差带给出了矢量化的数学定义；然后介绍了变动几何的原理，首次论证了变动几何能产生近似线性公差设计函数的数学依据，并着重研究了基于变动几何的切线法和二点斜率法。

The mathematical model of coal-bed methane seepage is established considering slipped effect, giving the weak form of the differential equation based on the principle of virtual displacement, hereby writing FEPG program. Using FEPG system's all the source program of the finite element which considers the mathematical model of coal-bed methane seepage of slip effect the numerical solution is sought.

建立考虑滑脱效应的煤层气渗流数学模型，给出了基于虚位移原理的微分方程的弱形式，据此编写了FEPG程序，利用FEPG系统生成了考虑滑脱效应的煤层气渗流数学模型有限元问题的全部Fortran源程序，并进行了数值求解。

One target to study the network performance is to find out the mathematical expressions between each measure. Probability, Random Process and Queuing Theory are important and useful mathematical tools for network analysis.

求出反映定量指标间关系的数学表达式是研究网络性能的目标之一，而概率论、随机过程和排队论是进行网络性能分析的重要数学工具。

On one hand,as a typical content of mathematical subject,reasoning and proof embodies the mathematical rational spirit;on the other hand,to cultivate students' thinking ability as the main function,the mathematics without reasoning and proof.

一方面，推理与证明作为数学学科的典型内容，体现了数学的理性精神；另一方面，数学以培养学生的思维能力为主要功能，它离不开推理与证明。

I can still vividly recall the impressive scenes you gave. You were among my friends and relatives who accompanied me from my house to the seaport and when the porters were slow to show up, you obligingly carried my suitcase for me.

你对我的种种感人情意，使我记忆犹新，那天你随着我的亲友从家里送我上轮船，搬运工迟迟不来，你毅然替我提着皮箱上船。

St. Nicholas became the patron saint of Russia, where he was famous for his red cape, flowing white beard, and bishop's mitre.

圣尼古拉成了俄罗斯人的守护神，在那里，他以身披红斗篷，留着飘逸的白胡须，戴着主教法冠而闻名。