数学模型

With the help of the concepts of Lebesgue measure and Lebesgue integral in real function,the mathematics model of concurrent design of life-oriented progressive die is advanced. Which were the Lebesgue measure and Lebesgue integral of die substructures and a general mathematics model of the relation between progressive die structure and die substructures.

运用实变函数中的Lebesgue测度和Lebesgue积分的概念，结合面向寿命的级进冲模并行设计的特点，建立了面向寿命的级进冲模并行设计数学模型—模具子结构的Lebesgue测度和Lebesgue积分，提出了级进冲模结构与模具子结构关系的一般数学表达式。

Based on the fuzzy mathematics theory, the math model of the fuzzy optimal design for the gear reducer is set up and a computer optimal interface that gear optimal design plan is developed.

基于Pro/E的支撑平台，以Pro/TOOLKIT和MFC类库作为核心技术，提出了基于模糊优化设计理论的计算机辅助齿轮设计方案，结合模糊数学的基本原理，建立了齿轮传动模糊优化设计的数学模型，开发出一套计算机辅助齿轮优化设计的系统软件，分别给出了普通优化设计和模糊优化设计的计算结果，体现了模糊优化设计的优越性。

The relation between the quality of subject selection and editor 's qualifications was studied. With traditional logical analysis as the first step of mathematization, the author established a mathematical model by giving up the set pattern of the pure qualitative analysis.

本文从总体上研究了选题质量与编辑人员素质之间的关系，并在其传统逻辑分析的基础上，作为数学化的第一步，试图跳出传统的纯粹定性分析的臼，而就其数学模型的建立进行了尝试与讨论。

Involves the membership function specifically, the operations research, and so on linear algebra, as well as mathematical model of analytic hierarchy process, matrix representation and so on.

具体涉及隶属函数，运筹学，线性代数等数学知识，以及层次分析法，矩阵计算等数学模型。

This paper details the basic idea and main point of perturbation method in slo-ving complex mathematical problem, in which the characteristics of perturbation method are put stress on.

本文简要说明了摄动法在求解复杂数学问题中的基本思想和要点，着重分析摄动法在求解泡沫塑料气泡膨胀数学模型中的应用。

Minimal energy principle and finite element method were employed in modeling the solder joint shapes of Plastic Ball Grid Array device.

以无引脚表面组装元器件二维焊点问题为例，用两种不同的建模方法对其建立数学模型并进行分析比较，指出用基于最小能量原理的有限元数值分析求解表面组装焊点形态问题的方法优于一般数学分析方法。

By studying and analyzing maritime statistic data and requirements of ship navigability, the author obtains main index of evaluating the safety of LNG carrier cargo loading and unloading, such as hull intensity, stability and buoyancy; At thesame time, the author uses System Engineering theory and AHP to achieve the influence degree of every index on ship safety; then set up the mathematics modeling of multilevel comprehensive assessment which can get quantificational and qualitatively comprehensive safety evaluation of cargo loading and unloading on LNG carrier.

同时运用系统工程学原理，通过层次分析法，确定各评价指标对于船舶安全的影响程度，以模糊数学为工具，建立多级综合评判的数学模型，对LPG安全状况进行定性和定量的综合评价。

Especially, the Hill coefficient is considered not any physiological meanings in the mathematics model usually used in fitting pharmacodynamics S dose-effect curve, but the analogous parameter in the accumulation normal distribution function has definite physiological meanings, and indicate the relationship between pharmacology and pharmacodynamics.

特别地，在常用于药效学S型剂量效应曲线拟合的数学模型中，其Hill系数被认为没有任何生理学含义，而累积正态分布函数中的相应参数却有明确的生理学含义，从数学上体现了药理与药效的内在联系。

The study of traffic administration is mainly in virtue of mathematical method and physics law that can describe the phenomena and characteristic of traffic, simply that is the process of mathematics modeling, numerical simulation and finding its solution.

交通管理问题的研究手段主要是借助于数学方法和物理定律对交通现象和特性进行描述，简单的说就是数学模型的建立及其数值模拟和求解的过程。

By both defining and quantifying of preference, four classes of preference functions and an aggregate preference function were constructed by using numerical method, and a mathematics model of physical programming was proposed.

通过定义偏好的概念及对偏好的数学量化，采用数值分析方法，构造了四种不同偏好结构的偏好函数，进而构造出综合偏好函数，并建立了物理规划数学模型。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。