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According to theory of the conjugate curves and the envelope curve,the corresponding mathematic model of workpiece-tooth-curve was established.

并根据共轭曲线及包络线理论建立对应工件齿廓曲线的数模型，由二者的数学模型建立完全接触面积的算法。

At the same time, this paper set up a three-dimensional model, then analyzed and calculated of conducting cylinder heat transmission through software MATLAB and COSMOS. A mathematic model initial injection pulse-width is set up according to the quality's continuousness and the energy conservation law.

根据气体状态方程和能量守恒定律分析建立了基本喷油脉宽的数学模型，并运用在国产125ml摩托车汽油发动机上，仿真得出此发动机电控汽油喷射系统的初始喷油MAP图。

The research of this paper is began with the analysis the geographic spatial character of the UPTN, and designs the UPTN data mode based on GIS. Then, based on the good exhibiting all kinds of topology of the UPTN, and combined with the technology evaluation standards of the UPTN, this paper builds the UPTN planning mathematic model, and puts forward the quantitative calculation of the UPTN evaluation standards based on GIS; brings forward the arithmetic of the optimal path of the UPTN based on the public traffic network storage structure; designs the bus lines grouping management model, and realizes the contradistinctive evaluation of the UPTN planning projects based on GIS.

论文研究的重点内容是从分析城市公交网络中地理空间实体的特征开始，设计基于GIS的城市公交网络数据模型，在有效表现公交网络拓扑关系的基础上，根据公交线网技术评价指标，建立基于GIS的公交线网规划的数学模型，并给出公交线网评价指标的GIS量化计算方法；提出以公交线网数据存储结构为基础的公交网络最优路径算法；设计公交线路分组管理模型，实现公交线网规划方案对比分析。

New mathematic models are developed to study the BGP stability instantaneous behavior during the convergence procedure, which focuses on the instantaneous pressure and its distribution on each router with the parameters of the BGP UPDATES.

在BGP SPP模型的基础上，建立新的BGP稳定性瞬时行为数学模型以分析多宿连接中BGP行为对路由器造成的瞬时压力大小和分布，以优化BGP网络配置。

A mathematic model of topology problem is built, sensitivity analyzed and Convex Linearization method used for optimization solution.

建立了拓扑优化问题的数学模型，进行了灵敏度分析，采用CONLIN算法进行优化迭代求解，并介绍了消除数值不稳定现象棋盘格的方法。

The concept of current regulation factor was defined and the analytic expression of the current regulation factor and the turning points' coordinate of the exterior characteristic curve by use of the mathematic model of magnetization curves were given.

利用电流调整率和拐点坐标分析了电机的恒压性能和带负载能力，得到了电机的恒压性能和带负载能力跟电机各结构参数和励磁电阻的关系。

The principle of three coordinate measuring machine is summarized as follows: Firstly, measured object is placed on the position of three coordinate measuring machine; Secondly, the object surface coordinate values are obtained; Thirdly, the geometry, shape and location of the vane are calculated by mathematic operation.

三坐标测量原理是：将被测物体置于三坐标测量机的测量空间，可获得被测物体上各测量点的坐标位置，根据这些点的空间坐标值，经过数学运算，求出被测物体的几何尺寸、形状和位置。

Use of this procedure is for flexible body in_array coordinate transformation calculation.

详细说明：本程序是利用mathematic进行柔性体坐标变换计算。

Some key problems of line structured light sensor is given comprehensive studies theoretically and practically, which include the analysis of sensor's mathematic model; the improvement of the key parts of the sensor, the light source and imageforming system; the method of on-line measurement and the evaluate of BGA coplanarity. These studies are supported by corresponding satisfactory experiments. This dissertation covers the following aspects concerning the main work and creative research in the subject: 1. The operating theories and features of pattern measuring methods are systematically introduced.

本文成功地将线结构光传感器应用于BGA芯片管脚共面性的在线测试，并针对线结构光传感器测量的一些关键问题进行了深入细致的研究和探讨：建立了线结构光传感器的模型并对结构参数进行了详细的分析，针对传感器的关键环节—光源和成象系统的改进都提出了创新性的理论和方法，对管脚形状比较复杂的BGA芯片球栅阵列的在线测试方法和评定方法进行了理论研究和实验分析，并获得了满意的结果。

The core problem of load forecasting is technical matters or the mathematical model. Conventional model is described by clear mathematic representation, which has the advantages of little calculation and high speed, but which has lots of limitations such as non-self learning, and non-self adapting at the same time.

传统的数学模型是用显示的数学表达式加以描述，具有计算量小、速度快的优点，但同时也存在很多的缺陷和局限性，比如不具备自学习、自适应能力、预测系统的鲁棒性没有保障等。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。