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We derived the scalar quantity of magnetic quasi-static vector equation in the electromagnetic crystallizer in the cylindrical coordinates by assuming condition for the mathematical modeling of the electromagnetic crystallizer and dimensionless method and reduction of parameters of electromagnetic governing equations.

在假设了对电磁结晶器数学建模的依据条件下，通过对电磁控制方程组进行参数无量纲化和简化，在柱坐标系中，推导出电磁结晶器内的磁准静态矢量方程的标量形式。

The coordinates of the detectable points (5, 6) on the images (7,8) are calculated.

计算图像(7，8)上可检测点(5，6)的坐标。

Chapter two proposes the unified form of Hojman"s conservation law and Lutzky"s conservation law. Firstly, the author introduces the general Lie group of transformations that the variations of both the time and the generalized coordinates are considered, derives the determining equation of Lie symmetry for the system, presents a new conservation law, which contains the Hojman"s and the Lutzky"s conservation law as two special cases, and obtains a condition to exclude trivial Hojmans conserved quantities.

第二章，Hojman定理和Lutzky定理的统一形式：首先，引入一般意义下的Lie变换群(即位型变量q_s和时间变量t同时变换)，给出系统的Lie对称性确定方程，提出一个新的守恒律，Hojman定理与Lutzky定理则分别是这个新守恒律在两个特殊情况下的推论，导出一个可排除平凡Hojman守恒量的定理，并分别讨论了Birkhoff系统和非完整系统的Lie对称性和Hojman守恒量，最后，讨论了Hamilton系统的梅对称性与Lie对称性的关系，给出了由梅对称性求Hojman守恒量的方法。

First, this paper, in the field of intrinsic geometry, studies the geometric problems on garment design, as well as applies the frame and semi-geodesic coordinates to prove the fundamental theorem of being a developable surface.

文中首先在内在几何学的层次上，研究了服装设计所涉及的几何学问题，应用标架与半测地坐标方法证明了曲面成为可展面的基本定理，研究了可展面的分类及其性质，考虑到服装三维几何造型的需要，证明了组合式可展面各组成片相切连接条件的命题，作为构造可展面的理论依据，证明了单参数平面族的包络面必为可展面的命题，在此基础上发展出服装几何造型的"刮大白"方法以及相关的三种构造可展面的解析方法。3D→2D的变换是三维服装CAD的重要内容之一，其几何学实质是曲面的定长映射，文中总结了定长映射即可展面在平面上展开的基本准则，在这一准则的指导下，结合服装设计与相关领域的要求，讨论了可展面在平面上展开的解析方法与数字方法，上述内容确立了服装设计几何学的基本框架。

However, there is no clear understanding of whether there is consistent activation in cerebellum across various motor task complexities or how different parts of the cerebellum contribute to finger coordinates in dexterous manipulation.

这篇综述纳入了许多涉及不同手指/手部运动任务的神经基础的研究，然后使用ALE(Activation Likelihood Estimation)方法做了一个量化的元分析。

For coplanar quadrilateral patterns,the initial values of iteration are given by coordinates of virtual image of the intersection point of two diagonal lines.

获得测距后即可应用四元数估算法确定相对姿态与相对位置。

For coplanar quadrilateral patterns, the initial values of iteration are given by coordinates of virtual image of the inter-section point of two diagonal lines.

获得测距后即可应用四元数估算法确定相对姿态与相对位置。

After doing the statistical test, it shows that there is not obrviously differentiae among the coordinates transferred by the four methods. However, putting four-parameters and six-parameters methods into practice is easier than the others.

研究结果发现，四、、BPN倒传递神经网路及多变量复回归坐标转换成果，经统计测试四种坐标转换模式结果，并无显著性之差异发生，然而，在实用上则以四参数及六参数转换较为简易。

The calculation of initial alignment direction cosine matrix between SINS body frame and navigation reference frame is expanded into three parts:(1) the DCM between i0 frame and n frame is easily obtained via local geographical coordinates and initial alignment time;(2) by expressing SINS specific force equation in b frame and by the aid of external velocity log, the constant DCM from i(subscript 0) frame to i0 frame is achieved;(3) attitude updating using gyro samples gets the DCM between b frame and i(subscript b0) frame.

将捷联惯组坐标系与导航坐标系之间的初始对准姿态矩阵的实现分解为三步骤：(1)通过地理位置和初始对准时间求解i0系至n系的变换矩阵；(2)通过惯导比力方程变形，引入刚速仪速度辅助，求解从i(下标 b0)系至i0系的常值变换矩阵；(3)使用姿态更新算法实时计算b相对于i(下标 b0)系的变换矩阵。

Earthworks zero line is determined by constructing the spatial gridding curved surface model of the original terrain and the field leveling design terrain by digital elevation mode. The DEM data of original terrain are obtained by actual measurement. The mathematical correlation is deducted to demonstrate the relationship between the coordinates of any point on spatial line and the direction cosine by the spatial linear equation. DEM data obtaining program is compiled by Fortran9.0 and it is applied automatically to obtain the DEM data of field leveling design terrain.

目的 利用数字高程模型(digital elevation model， DEM)构造原始地形和场平设计地形的空间网格曲面模型，确定土方工程中的零线方法通过实测提取原始地形DEM数据；依据空间直线方程，推导空间线段土任意点的坐标与方向余弦的数学关系式，采用Fortran90程序设计语言编写DEM数据提取程序，自动提取场平设计地形DEM数据；应用Surfers8.0和MapInfo软件构造规则的网格空间曲面模型并导出网格节，点数据；擦除场平设计范围外数据。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。