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This paper,representing the mathematical restrictions equation on modified gear in the form that is convenient to plot the curves,the electronic closed graph has been completed in VC++ which is an object-oriented visualization programming language.

该方法只需设计者按要求输入相关的设计参数，就能很快生成所需的封闭图，使齿轮变位的设计变得简单、快捷。

In the research of the self synchronization closed loop control system, it is necessary to construct a dynamic mathematical model for the analysis and simulation on computer.

自同步闭环控制系统的研究，需要建立一个准确的动态数学模型，为控制系统的研究提供理论依据。

In the last, mathematical simulation validats the solution in a satellite closed loop attitude control system.

最后通过数值仿真验证了该算法的有效性。

Based on mathematical morphology, a new algorithm of 3D spatial clustering was presented, which clustered spatial objects by closure operation.

提出了一个基于数学形态学的三维空间聚类算法。

In order to carry out the CAD for double-layer fabric conveniently,the paper proposes mathematical models for designing double cloth in which the face layer and back layer are separated and for binding double cloth with integral matrixes ,which are the basis of fabrics weaves and are structured with the principle of matrix theory.

为便于进行双层组织辅助设计，以织物组织结构为依据，以矩阵理论为基础，提出用整数矩阵设计表里分离的双层织物组织及接结双层织物组织的数学模型，把一个三维结构的双层织物组织简化成一个等效的二维矩阵，为利用计算机进行双层组织的辅助设计奠定了基础。

On the basis of the results, a mathematical model is developed to explain coalescence growth process of UFMP.

在此基础上建立了团聚生长数学模型，该模型能较好解释超微粉的团聚生长过程。

He is leading a research group 'Algebra and Coalgebra: the mathematical environments of modal logic'.

他当前正主持研究项目"代数和余代数：模态代数的数学环境"。

The wave field is calculated by the parabolic mild slope equation and the wave radiation stress is regarded as the major factor to establish the mathematical model for simulating the coastwise current due to wave action based on the depth-averaged shallow water equation.

利用抛物型缓坡方程计算波浪场，并以波浪辐射应力为近岸动力因素，建立深度平均的二维近岸流的控制方程。

Topics include: mathematical definition and properties of information; source coding theorem, lossless compression of data, optimal lossless coding; noisy communication channels, channel coding theorem, the source-channel separation theorem, multiple access channels, broadcast channels, Gaussian noise, and time-varying channels.

课程主题包括：针对「资讯」的明确数学定义及性质描述；信源编码理论、无失真资料压缩技术、最佳化无错误编码；杂讯干扰的通讯频道解析、频道编码理论、资讯来源-通道编码分离理论、多重存取频道解析，广播型态频道解析、高斯杂讯及多变量时间频道解析。

By taking fuzzy performance index as objective function and taking codomain of design parameters and limiting performance index as constraint conditions, an optimization mathematical model is formed.

以模糊化的性能指标为目标函数、以设计参数的取值范围及极限性能指标为约束条件，建立优化数学模型。

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。