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Concerning the polarization coupling between Rayleigh particles irradiated by various polarized plane light wave, we use self-consistent method and dyadic Green's function, with the near-field condition of kR《1, and neglecting retardation, to derive analytical expressions for the transverse and longitudinal components of optical binding forces.

针对不同偏振态平面光波诱导下瑞利粒子间极化耦合作用，运用自洽场方程和并矢格林函数，在kR《1的近场条件下，忽略延迟效应，分析推导了横向和纵向光学束缚力公式。

By now it includes a graphical function plotter, a mechanism to derive functions, and an equation solver.

目前它包括一个图形函数绘制器，一种生成函数的机制，以及一个等式计算器。

Using the Green function of an anisotropic medium in free space and Green identity, we derive the equation of electric field in an anisotropic medium for TM polarized wave.

本文由各向异性介质无界空间Green函数和Green恒等式出发，推导了TM波入射时各向异性介质中电场满足的方程，由此得出总电场的积分公式。

It has been found that the MCMC approaches can estimate and derive the posterior joint probability distribution of the model parameters properly.

采用基于实测流量资料估计的置信区间可靠性作为评判标准，实验结果表明：就SMAR模型而言，MCMC方法能够更好地推求模型参数的后验分布。

In the end ,we derive a posterior estimate .

最后，作了后验误差估计。

"How and in what way a prelate ought to proceed to inquire into and punish the offences of his subjects may be clearly ascertained from the authorities of the new and old Testament, from which subsequent sanctions in canon law derive", as we said distinctly some time ago and now confirm with the approval of this holy council.

"如何及在何种方式主教应该著手进行调查和惩治犯罪的主体可以明确确定由当局新旧约，而随后的法律制裁，佳能获取"，因为我们说清楚一些很久以前，现在确认的批准这个神圣的。

Thus a simple method is proposed for determining the value of reference node coordinate, that is to derive the cross-point of coordinate equation of Y, which represents the principal inertia plane and the one perpendicular to the other plane.

为此提出了一种参考节点坐标值的简易确定方法，即通过求解代表主惯性平面和与主惯性平面正交的另一平面同Y轴的交点坐标方程，根据抽油机支架上角钢的结构方式，取代数值较大的一个即可确定参考节点的位置。

We derive our revenue principally from sales of properties that we have developed.

我们的收益主要以我们开发的资产的出售为途径获取。

This subject combines the basic principle of the calculus of variation and and reply and change basic theories of the function according to fracture mechanics, use mechanics, mathematics knowledge to set up corresponding mathematical model, derive out a series of mechanics and mathematics theory formula, work out procedure carry on number value calculate, to include edge crackle round stress intensity factor of component go on, ask, solve.

本课题结合变分法的基本原理并根据断裂力学和复变函数的基本理论，运用力学、数学知识建立相应的数学模型，推导出一系列的力学及数学理论公式，编制程序进行数值计算，对含边缘裂纹圆形构件的应力强度因子进行求解。

First we compare rough sets and random sets,and derive the relationship between belief function and lower probability.

首先将粗糙集与随机集作了比较，并由此得出了信任函数与下概率的关系。

World War II: Battle of Saipan - Americans take Saipan.

1944年的今天，美国在塞班战役中拿下塞班岛。

When the scorner, the rejecter of truth, has become presumptuous; when the routine of work in the various money-making lines is carried on without regard to principle; when the student is eagerly seeking knowledge of everything but his Bible, Christ comes as a thief.{DA 635.3

当讥诮和拒绝真理的人，到了任意妄为时，当追求财利者罔顾按道义经营谋利时，当学人正在兢兢业业地研究各种知识，而单把圣经丢在一边时，基督要像贼一样来临。