推导出

The recursion formula was derived based on the assumption that the mass ratio of thedrop breakup is uniformly distributed.We also proposed a piecewise power function to describethe drop size distribution.

由液滴以均匀概率分裂的假设而导出了液滴粒度分布函数的递推公式，并建议分布函数采用分段幂函数的形式。

A novel finite-difference time-domainmethod,called shift operator FDTDmethod is developed for anisotropic magnetized dispersive media.The recursive relation between operators is used.In this paper,some expressions containing the dielectric constants of magnetized dispersive media are written as rational polynomial function.

给出了一种新的计算各向异性磁化色散介质的有限差分算法，称为移位算子FDTD算法，它利用算子之间的移位递推关系，将一类色散介质的包含介电常数的表达式写成有理分式函数形式，进而导出FDTD中一系列相关量之间的关系。

Therefore, he had to adjust the measured results so that he could generate from them the desired value of tropical year.

但是，由于他所处年代特殊的天文条件，他所用的由表影测量来推求回归年长度的方法本身的可靠性有限，所以，他最后对测影结果进行了调整，使之能够导出他想要的最终结果。

And by using the initial conditions as well as the end conditions, the dynamic problem is then transferred to a second kind Volterra integral equation about the function of the axial strain with respect to time which can also be solved successfully by the interpolation method. For piezoelectric and pyroelectric hollow cylinders, by following the solving procedure for elastic hollow cylinder and by using the electric boundary conditions, the dynamic problems are transferred to two Volterra integral equations about two functions of time, one is axial strain and the other is related to electric displacement, which can also be solved efficiently and quickly by employing interpolation method. The elastodynamic solutions of hollow spheres, which are made of elastic, piezoelectric and pyroelectric materials, respectively, for spherically symmetric problems are also obtained.

对于弹性空心圆柱，通过引入一特定函数将非齐次边界条件化为齐次边界条件，然后利用正交展开技术，导出关于时间函数的方程，再结合初始条件和端部边界条件，将原问题转化为关于一个时间函数的第二类Volterra积分方程，运用插值法可给出此积分方程的解；对于压电和热释电空心圆柱，利用求解弹性空心圆柱相似的方法，再结合电学边界条件，原问题转化为关于两个时间函数（轴向应变和与电位移有关的函数）的第二类Volterra积分方程组，同样可用插值法来构造相应的递推公式高效地求解此积分方程组。

Using the two basic recurrence formulae that double hypergeometric terms satisfy, we get the general form of such representation.

利用双超几何项的两个基本递推关系，我们导出了这种表示的一般形式。

An algorithm for decomposition of multi wave and multi component data into upgoing and downgoing P wave and S wave was derived in frequency wave number domain in this paper. The reflection coefficient versus incident angle was calculated, which can provide foundational data for the AVO inversion of elastic parameters and prediction of fluid factor.

在频率波数域中采用解析法，解出多层条件下海底实测的多分量地震数据分解成上行和下行P波和S波的算法，导出海底各层地震反射系数随入射角变化的递推计算公式，为海底多波多分量AVO弹性参数的反演及流体因子预测提供基础数据。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷