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Based on the three- dimensional coupled wave theory, the theory of diffraction of local volume holographic grating s recorded with arbitrary polarization plane waves is studied.

基于三维耦合波理论，研究了两束有限宽度的任意偏振平面波干涉产生的局域体全息光栅的衍射问题。

This paper adopts spatial parallelogram to estimate uncertainty of arbitrary points inside and outside the spatial triangle plane, The estimate formulae of uncertainty of spatial triangle plane and normal vector are deducted.

随着GIS在环境仿真、城市规划、气象学、自然灾害预测预报、地质采矿等领域的广泛应用，空间数据库日渐庞大，因此空间数据质量的好坏直接影响着GIS应用、分析、决策的正确性和可靠性

A numerical calculative method of computing aerodynamic characteristics for sideslipping thin wings of arbitrary planform with dihedral in subsonic flow is presented in this paper.

本文利用变换坐标的方法，把处理来流平行于机翼对称面的涡格法推广到有侧滑的情况去。

The concept and properties of Voronoi diagram of a point set within an arbitrary 2D domain, i.

本文同时阐述了它的对偶图：任意域内点集的Voronoi图的概念和性质。

In this paper, according to the trait of displacement monitor of NATM and combined with the develop of modern instrument of measure, two new methods of diplacement monitor of tunnel are put forward:"the system of three dimensional displacement monitor" and "the arbitrary point system of peripheral convergence of tunnel".

本文根据新奥法隧道施工中位移监测的特点，结合现代测量仪器的发展，探索了两种隧道位移监测的新方法：三维位移监测系统和隧道周边收敛的自由测站监测系统。

It is a difficult problem in 3D DDA to detect the contact between arbitrary shape polyhedral blocks.

块体间高效而正确的接触判断，是实现三维DDA法计算的关键。

It is a difficult problem in three-dimensional DDA to detect the contact between arbitrary shape polyhedral blocks.

块体间高效而正确的接触判断，是实现三维块体系统非连续变形分析方法计算的关键。

This paper proposes an algorithm to divide an arbitrary polyhedron to tetrahedrons and gives its theoretical basis, data type and implementation.

本文提出了一种将任意多面体剖分为四面体的算法，给出了算法理论基础的证明、算法具体实现步骤及所用数据结构。

Polynomial Wigner distribution offsets the disadvantage of WD in that it generates artifacts when processing none-linear modulated signal or multi-component signal. PWD can get FM signal IF direction of arbitrary orders, also fits for multi-component signal.

多项式维格纳分布弥补了WD分析非线性调频信号或者多频率分量信号时容易产生交叉项的缺点，对于任意阶次的调频信号，它都可以得到清晰的IF的走向。

An arbitrary perturbation of generalized Schur complement for positive semidefinite matrix is studied.

得到了原已有文献给出的Hermitian半正定矩阵的Styan矩阵不等式的逆向表达式。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。