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We used herethe path integral Monte Carlo method to calculate the imaginary time correlationfunction, then did the numerical analytic continuation to get the rotational energy levels.

在这一章里，我们介绍了所采用的方法，并且将其运用于一个简单的模型。

Spacecraft attitude dynamics and the analytic and numerical methods for studying chaotic motion in engineering systems are respectively surveyed.

概述了航天器姿态动力学的研究内容和研究工程系统中混沌运动常用的解析和数值方法。

Base on the principle of analytic geometry, the mathematical model of the intersected pipe s is established in this paper, and the curve of intersection is worked out by numerical analysis.

利用解析几何的原理建立了两管及多管相交问题的数学模型，通过数值分析方法求得了相贯线的几何形状。

The computational mesh,is generated automatically in terms of analytical/numerical transformation.

由于有限元法在处理复杂边界时的灵活性，近年来正迅速发展成为求解跨音速流场的强有力工具。

The proposed treatment for the temperature integral and the consequent analytical model for isochronal transformation kinetics have been proved to be more effective than the previous model especially in a narrow temperature interval by numerical method.

结果表明，特别是在具有较小转变温度范围的非晶合金体系中，改进的等时晶化模型和多峰转变模型均具有较高的精确度。

Based on these theories, it develops a GIS map projection software using Visual C++ as a platform. The software consists of two parts: analytical ordinal transformation and analytical athwart transformation. Analytical athwart transformation implements map projective transformation with coefficients obtained through numerical method, which is also the main idea of this paper. Map projective transformation process is illustrated with the examples of Mercator projection and conic projection.

地图投影建立了平面上的点(用平面直角坐标或者极坐标表示)和地球表面上的点之间的函数关系，而地理信息系统以平面直角坐标形式通过计算机图形学的方法表示2维或3维地理空间信息，因此，地图投影起到了地球空间与地理信息系统之间的坐标转换的桥梁作用[1]。

Anastigmatic mounts of concave gratings based on this algorithm are optimized,and numerical results are simulated.

基于此方法讨论了无象差点结构凹面光栅的优化设计，并给出了数值模拟结果。

In this paper the author give the numerical model of the behavior of the anchor bolt and get a reasonable conclusion when applying this theory to the analysis of the stabilization of the underground engineering .

另外，地下工程中的断面呈现多样化趋势，而且在锚固优化设计过程中，往往有多种锚固支护方案要相互比较，怎样快速的建立锚杆的三维模型？

And nonlinear finite element numerical simulation is one of the most effective methods among them.

其中，非线性有限元数值仿真方法是目前最为有效的方法之一，也是最符合实际的一种方法。

When the incoming flow velocity is 10 m/s, the numerical simulation is performed on the flow field around propeller anemometer under different measuring angles.

当测量角度在0~30°时该比值与测量角度的余弦值相当。

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。