数学分析

Based on the finite element model of temperature field,and related...

对计算出的温度作了相应的误差分析，得出该有限元数学模型的精度比较可靠；并在模拟计算结果的基础上进行了相关的温度场分析。

Based on a kind of orthogonal complete functions in L2[0,1], another one (called V-system) which has equivalence relation with U-system is created. It is a kind of new and effective mathematical tool on signal multi-resolution analysis. Besides that V-system keeps the favorable properties of U-system and can accurately reconstruct geometry information which expressed in piecewise polynomials by finite sum of functions in V-system, it has more special properties, such as simple construction, abundant levels, convenience of application, quick calculation, local support, and so on. V-system is the generalization of Haar orthogonal functions, and to be a class of wavelet base. It has a good future for some applications in the fields of wavelet analysis and signal processing.

从L2[0，1]空间的一类正交完备函数系U系统出发，构造了另一类与之等价的正交完备函数系，称之为V系统，它是信号多分辨分析方面的一种新型的、有效的数学工具。V系统不仅保持了U系统的优良特性，对多项式表达的几何信息能够做到有限项精确重构，并且较之U系统，它更有结构简单、层次分明、计算快捷、局部支集等特点，应用起来将更加灵活方便。V系统可以看作是Haar函数系的推广，是一类小波基，在某些数字信号处理及小波分析问题中有良好的应用前景。

First, a mathematic model for laser diode with a cool is established, which is looked as a first order segment of inertia in theory. It analyzes the step response in the S field and the time field separately after adopting PID control technique, and it also analyzes the equivalent noise model of the amplifying circuit.

首先从理论上对带制冷的半导体激光器组件建立了数学模型，将其看作一阶惯性环节，分别在S域和时域里详细分析了采用PID控制技术后的阶跃响应；同时也对光接收机放大电路等效噪声模型进行分析。

First, mathematic description of FOG's modulation signal was analyzed, and then three methods for producing modulation signal with adjustable amplitude were discussed, which are direct wave table method, multiplicative amplitude adjusting method and two-level wave table method. Their advantage and disadvantage were analyzed.

首先对光纤陀螺调制信号的数学描述进行了分析，在此基础上提出了三种幅度可调调制信号的产生方法，即直接波表法、乘法调幅法、两级波表法，并分析了三种方法各自的优缺点。

First,mathematic description of FOG's modulation signal was analyzed,and then three methods for producing modulation signal with adjustable amplitude were discussed,which are direct wave table method,multiplicative amplitude adjusting method and two-level wave table method.

首先对光纤陀螺调制信号的数学描述进行了分析，在此基础上提出了三种幅度可调调制信号的产生方法，即直接波表法、乘法调幅法、两级波表法，并分析了三种方法各自的优缺点。

Through the analysis, this paper established a mathematical model for an early-warning satellite to forewarn the TBM trajectory. The model comprised locating model of TBM coordinates. Based on the analysis of accuracy of the model, a conclusion which has certain academic meanings and engineering value is reached.

通过分析研究，建立了单颗预警卫星对战术弹道导弹预警的数学模型，主要包括了用预警卫星探测信息确定TBM坐标的模型，并对TBM弹道参数的精度进行了分析，得出了具有一定理论意义和工程应用价值的结论。

The operation and control interaction analysis between main fractionator and stabilizer of FCCU is given.

stabilizer control ； system design ；分析了催化裂化装置稳定塔的先进控制问题，讨论了主分馏塔与稳定塔之间操作控制的关联性，基于状态反馈预测控制，根据装置的操作运行情况及关联性分析，使用现有的测点，对稳定塔建立了用于实时控制的简化状态空间数学模型，以在线计算稳定汽油饱和蒸汽压作为被控变量，设计了稳定塔先进控制系统。

I did a teaching experiment on solving the maximum and minimum value of quadratic function in one variable with two different teaching ways: asking questions and dialogue. These two periods are studied and analyzed here.

本人用提问与对话两种不同的教学方式对一元二次函数在闭区间上的最值这一数学内容进行了一次观察与分析的教学尝试，并对这两节课进行了个案研究与分析。

Nonlinear functional analysis has been one of the most important branches of learning in modern mathematics at present.

非线性泛函分析是现代分析数学中的一个重要分支学科，它为解决当今科技领域中出现的各种非线性问题提供了富有成效的理论工具。

Try to demonstrate in terms of economy that it is these factors and the game players' pursuit of maximizing their profit determine the structure of the mixed ownership of an enterprise, determine the distribution of the enterprise surplus among the participating parties and the effort level of the participants, and further determine the efficiency of the enterprise.

本论文研究的意义在于：通过企业混合所有权概念的建立，将股东、债权人、管理者、员工及政府都纳入到了企业的博弈分析，在此基础上，构建起混合所有权下企业博弈的理论分析框架及相关的数学模型，给出一个更为一般的企业博弈研究。

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。