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In the first part of the paper, the explicit form of difference equation and periodic boundary condition is derived in Cartesian coordinate system.

由于光子晶体也属于一种周期结构，在分析其带隙结构时，可以借鉴前面的算法。

Analyze the projection method and space Cartesian coordinate system. It focuses on conversion between different coordinates.

对地图投影中的投影方式以及采用的空间直角坐标系统进行分析，其中重点介绍了投影坐标与地理坐标、地理坐标与空间直角坐标以及空间直角坐标之间的转换问题。

The molecular volumes and the projection areas were computed in a three-dimensional Cartesian coordinate system using bit mapping method.

另外，在分子三维空间的形状方面也进行了一些工作和探索，取得了很好的结果。

Specifies the global Cartesian coordinate system reference orientation.

指定全局笛卡尔坐标系统的参考方向。

The distribution formulae of measuring errors in Cartesian coordinate system are derived and a step-changing processing method is proposed based on the error distribution.

对多目标跟踪问题中的关联区域进行了空间描述，得到了直角坐标系下量测误差的分布公式，提出了基于误差分布的变步长处理方式。

Introduced the locally Cartesian coordinate system and discussed the inclusion of the curvature terms.

介绍局笛卡儿坐标系并讨论曲率项的内容。

In this thesis, we design and implement a 3D reconstruction system. A contour-based image contains a lots of the point sets in the Cartesian coordinate system. This point sets are the contours.

在本论文里设计且实作了一套重建三维物件的系统，每一张以轮廓线为主的二维影像其所包含的东西就是一堆在XY座标上的点的集合，这些点的集合就是轮廓线。

Based on the Kirchhoff Approximation, the polarimetric scattered field is derived in Cartesian coordinate system by integration of three matrices mentioned above.

基于基尔霍夫近似，用过以上所讲的三个矩阵在笛卡尔坐标系下的积分得到极化散射场。

It is observed that each of the N nodes of an undirected double loop network can be represented by its coordinates in Cartesian coordinate system as mod N.

在这部分，我们主要是利用无向双环网的N个节点中的每个点都可用平面坐标系中的坐标，采用mod N的方式表示，从而发现N个节点在坐标平面中周期性地出现。

Two application experiments have been run, one is the alignment of two Cartesian coordinate system and the other is the 2-D position detection to a planar moving object.

完成的两坐标系对准实验和二维运动物体位置测量实验结果说明了利用角度格栅测量二维位置的有效性和简捷性。

We stopped by the old fashion ice cream parlor Manhattan Beach Creamery for some refreshment. The "No Shoes, No Shirt, No Problem" sign on the wall epitomizes the beach lifestyle.

我们去商店区的一家老式冰淇淋店坐坐，墙上挂著「没鞋，没上衣，没问题」的牌子完全捕捉了海滩生活的随性及风格。

"If therefore", argues Bellarmine we can offer our prayers and our satisfactions in behalf of those detained in purgatory, because we are members of the great body of Christ, why may not the Vicar of Christ apply to the same souls the superabundant satisfaction of Christ and his saints--of which he is the dispenser?

" "因此，如果"，认为贝拉明（德indulgentiis ，十四）"我们可以提供我们的祈祷和我们满意的代表那些被拘留在炼狱，因为我们是成员的伟大基督的奥体，为什麼可能不是牧师基督适用於同样的灵魂满意的过剩是耶稣和他的圣人-他是在配药？