位移算子

A dynamic interaction schematic of an end bearing or elastic bearing pile with arbitrary force at pile top is founded. By using Helmholtz resolution and the operator decomposition method, Biots equations governing motions of a porous solid saturated with interstitial fluid are decoupled.

建立饱和土中端承桩和摩擦桩在任意激振力作用下的理论模型，利用位移势函数及微分算子分解方法，得到饱和土层Biot动力固结方程的分离变量解。

In discrete operator difference method, the displacements of the elements can be reproduced exactly in the discrete forms whether the displacements are conforming or not.

在离散算子差分方法中，无论单元位移函数是否协调，其位移函数均能在离散格式中得到十分好再现，说明了离散算子差分方法的离散格式是一种性能很优良的离散格式。

The introduction of displacement operator, derivation operator, integral operator and the operator, such as differential calculus operator and the definition of the form of computing, will be applied to similar derivation formula gives Newton a Kete Si formula and Bernstein theorem Law said the operator, and form is derived; linear differential equations is the operator solution.

有没有高手可以帮我翻译下这段话啊？？？引入位移算子、求导算子、积分算子和差分算子等微积分算子的定义及其形式运算，将其应用于近似求导公式；给出牛顿一柯特斯公式和伯恩斯坦定理的算子法表示，并进行形式推导；给出线性常微分方程的算子解法。

The FDTD formulations of dispersive medium are deduced. Using shift operator method, the recursive relation for 〓 and 〓 available for FDTD computation of plasma coating is obtained.

推导了色散介质FDTD的递推公式，给出了时域计算中电位移矢量〓和电场强度〓之间关系的移位算子法，并用该方法得到了本构关系在离散时域的递推关系。

Based on [1] and [2], a new approach to the stability of those systems whose state matrices are grey and symmetric, grey triangular and grey comb-shaped is presented. White mapping and relevant theore are also discussed.

在文献[1]、[2]的基础上，重新论述了状态矩阵为灰色实对称、灰色三角和灰色梳形系统的稳定问题；并以位移算子为基础，论述了白色映射及有关定理。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失