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Mathematical model has been dealt with by punish function search method. Hooke-Jeeves modular vector search method and Powell conjugate direction search method have been adopted and modified.

利用"惩罚函数"法进行了数学模型的处理，采用并改进了Hooke-Jeeves的模矢搜索法及Powell的共轭方向法，还提出一种随机搜索法。

A mathematical model was built to dynamically display the conjugation process.

在此基础上建立了螺杆转子啮合过程动态仿真的计算模型。

In this method, first, the gray-scale image of the molten pool is obtained according to the fractal-based discrete Brown random field theory. Next, the connected domain is detected based on the binary morphology theory and is then used to remove the noise and obtain the target image. Moreover, the successive edges of the image are obtained by means of the Open-Close operation on the basis of the mathematical morphology theory.

该方法利用分形理论中的离散分数布朗随机场理论得到按分形维分布的熔池灰度图像，然后利用二值形态学中的连通域检测去除噪声并得到目标图像，进而利用形态学中的开运算和闭运算得到图像的强连通边界。

Starting from the conditions of law of conservation of energy and angular momentum,how to deal with simple disposal of several physical equations of the planetary motion by applying the elementary mathematical equations is proposed.

从角动量和能量守恒定律出发，建立行星椭圆运动的轨道方程，导出行星运动时的各个物理量表达式，从而给出了一种以初等数学为基础的处理行星运动的简洁方法。

According to the Law of Conservation of Mass,we have established the mathematical model of heavy metal pollution in Le'an River,and have attempted to find the solution to it.

根据质量守恒定律，建立乐安河重金属污染数学模型，并对其进行了求解。

In chapter four, in order to study the micro-process of the compress of the high speed oil-free twin screw compressor, a mathematical model is built based on the conservation of mass and the first principle of thermodynamics.

第四章为了深入研究无油双螺杆压缩机的微观工作过程，以质量守恒定律和热力学第一定律为基础，建立了双螺杆工作过程的数学模型。

Based on the quality of conservation, conservation of momentum and energy conservation principle, three-dimensional steady hydraulic mathematical model and its boundary conditions have been deduced out

基于质量守恒、动量守恒和能量守恒原理，建立天然气管道三维稳态水力计算的数学模型，并给出了模型的边界条件

It does not consist in making new combinations with mathematical entities that are already know.

它不在于把早已经知道的数学实体做新的组合。

This dissertation also studies the exact reconstrction theory, reconstruction conditions, mathematical consistency and parameter freedom, and the author's viewpoints about exact reconstruction theory are given finally.

对三维锥形束精确重建的算法理论、重建条件、数学一致性、参数自由度等问题进行了系统的分析和总结，并且给出了作者的一些观点

Accurate coal quality datas can be obtained by diversity conspicuousness mathematical statistics during the course of analyzing the quality of coal samples and suitable rang.

在煤样的煤质分析中利用差异显著性这种数理统计手段，可使煤质分析数据更加准确，并对适用的两种范围做出分

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。