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NACA0012 airfoil is used to validate the numerical computation and the results show that the method is simple and efficient.

采用NACA0012翼型进行数值计算验证，结果表明该方法简单高效，适用于低速和高速流体的计算。

According to the present situations of the two production lines and the temperature needed by the producing technics of the heat-exchanger , using the numerical simulation with the Airpark software to analyze the reason why the cooling system can not meet the technicals requirement; with the heat transfer theory computation based on the heat transfer principle, the technical parameters of the cooling sect refer to the system technic and configuration are obtained. That are made for reasonable organization of the airflow of the cooling system and the new cooling equipment achieving the technical requirement. At the same time, it will ease the thermal pollution of the circumjacent environment and improve IAQ of the workshop

根据某厂两条换热器生产流水线的现状和冷却降温的工艺要求，用Airpark 软件进行数值模拟，分析了冷却系统无法满足工艺要求的原因；运用传热学原理进行了设备与环境的传热理论分析和计算，分析了冷却系统无法满足工艺要求的原因，得出了改造所需要的技术与结构参数，并对冷却系统进行合理布局与气流组织，使新的冷却系统发挥了应有的作用，满足了生产工艺的要求，同时也减轻了生产环境的热污染，提高了环境的空气品质。

Data shows the computer of data translate into such as azimuth of the lopsided volume that this equipment can measure place airscrew, lay particular stress on to go up in computer screen directly, make so airscrew manufacturer and shipyard but real time monitoring is lopsided the numerical value of the quantity, have accurate adjustment and repair to airscrew.

该设备能够将所测螺旋桨的不平衡量、偏重方位等数据转化为计算机数据直接显示在电脑屏幕上，这样就使得螺旋桨生产厂和修船厂可实时监控不平衡量的数值，对螺旋桨进行精确的调整和修复。

Developments on arid climate numerical simulations and experiments were introduced in this paper, and surface albedo, soil humidity and parameters of vegetation and their effects on climate were summarized.

介绍了近年来国内外干旱气候数值模拟和试验的研究与进展，总结和评述了陆面过程中地表反照率、土壤湿度、植被状况的参数化和对气候的影响，讨论和阐述陆面过程在气候模拟中的重要性。

With the development of Computer Science and technology,numerical algebra is applied in almost all scientific fields.

中文摘要：随着计算机的飞速发展，数值计算几乎遍布所有的科学技术领域。

Numerical or general algebraic expression vector, matrix calculation.

进行数值的或一般代数式的向量、矩阵的各种计算。

Aiming at the shortage of traditional numerical methods, the Adomian Decomposition Method is introduced to solve the nonlinear model equations in reaction engineering. ADM can give the approximate analytical solutions in a form of algebraic expressions for nonlinear equations.

针对传统数值求解方法存在的不足，将Adomian分解法(Adomian Decomposition Method，ADM)引入到反应工程非线性数模求解中，可给出非线性数模逼近解析解的代数表达式。

A C++ program is developed for composing the stiffness matrix of the temperature field, saving it in changing bandwidth method and calculating the linear algebraic function group through using the Gauss eliminating method. A module for drawing the color fringe of tire temperature field is created, which makes the result more visual. Taking the 9.00-20 cross-ply tire on CA1092 as an example, the finite element numerical simulation analysis of automobile tire 2-D steady temperature field is completed. Through comparing the result with the analysis data by ANSYS, this software is proved to be capable of the modeling, calculating and post-processing of FEA of automobile tire 2-D steady temperature field.

采用C++语言完成了温度刚度矩阵的总体合成及其一维变带宽存贮，以及线性代数方程组高斯消去法求解等工作，采用C++语言实现了汽车轮胎二维稳态温度场云纹图的绘制，使得计算结果更加直观，也更能形象地显示汽车轮胎二维稳态温度场的分布状况，以CA1092（原CA142）五吨载货汽车用9.00-20尼龙斜交胎为例，进行了汽车轮胎二维稳态温度场有限元数值仿真分析，通过与ANSYS分析结果进行比较，说明所开发的有限元建模、求解以及后处理软件能够用于汽车轮胎二维稳态温度场有限元分析。

The finite difference is used to approximate differential operation; the reflectance map equation described by the first order nonlinear differential equation is transformed into an algebraic equation about the unknown surface heights, and then the objective equation is constructed by the reflectance map equation and gradient information of image. Moreover, the Newton iterative algorithm is utilized to obtain the numerical solution and 3D shape of the surface.

采用有限差分近似微分运算，将一阶非线性微分方程所描述的反射图方程转化为关于未知表面高度的代数方程，再由反射图方程和图像梯度信息构造目标方程，进而用Newton迭代算法求出该方程的数值解，得到表面三维形状。

If the surface isrepresented by an implicit algebraic equation,the mapping can be constructed bythe theory of parametrization of algebraic surfaces;If the surface is represented byan parametric equation,the parameter values on the parameter plane can be solvedby numerical method or Grobner Basis method.

若曲面由代数隐式方程给出，可通过代数曲面参数化理论构造映射；若曲面由参数方程给出，可通过数值方法或Grobner基方法求解参数型值点。

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。