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The Fourier transformations about the azimuthal angle and Hankel transformation about the radial direction have been used to convert the basic equations of elasticity into a non-homogenous first-order ordinary differential equation system in cylindrical coordinates.

在柱坐标系下，利用关于方位角的Fourier变换及关于径向的Hankel变换，将弹性力学基本方程组转化为非齐次的一阶常微分方程组的标准形式。

The Hankel transformation method has been used to turn the basicdisplacement equations and displacement-stress constitutive equations intoa system of first order non-homogenous ordinary differential equations inwavenumber domain,and by us of the matrix method,the transfer matrix ofthe medium layered is established.

利用Hankel变换，将轴对称静力问题的位移基本方程和位移应力本构方程转化为波数域内非齐次一阶常微分方程组，利用矩阵法，建立了介质层的传递矩阵，导出了层状弹性半空间轴对称静力问题奇异解的一般解析表达式。

Robert Audley shrugged his shoulders as he looked at the dingy streets through which the Hansom carried him, the cabman choosing--with that delicious instinct which seems innate in the drivers of hackney vehicles--all those dark and hideous thoroughfares utterly unknown to the ordinary pedestrian.

罗伯特·奥德利瞧着双轮轻马车载着他穿过邋里邋遢的街道，耸耸肩膀，马车夫——由于那种好象内在于出租马车车夫身上的绝妙本能——总爱走那些黑暗而丑陋的、普通行人全然不知道的街道。

I'm just an ordinary Joe learning this stuff the hard way.

我只是个普普通通的也在学习这类东西的用户罢了。

When he travelled across India, he travelled"hard-seat, unreserved", together with peasants and other ordinary people.

当他旅行穿过印度时，他走过"没有被预订的硬座"，和农民们及其它普通的人在一起。

In ordinary structural the aggregates occupy approximately 70% to 75% of the volume of the hardened mass.

对于普通的建筑物，材料一般占总质量的70%到75%。

Yet the emerging picture is horrendous, especially for ordinary people in the lesser cities and hardscrabble northern provinces.

然而这些浮出水面的描述异常可怕，特别是对于居于较小城市和赤贫的北部省份的居民来说更是如此。

There they should talk of the value of ordinary goodness and patience, leading to compassion, loving-kindness and harmlessness.

他们要在那里谈论普通人的善良和耐心的价值，这些价值会引导人学会怜悯、仁慈和不伤害他人。

Professor Bainbridge leads the Fine Art area at Sunderland and in this work references to planets and the stars built out of huge Cast Iron spheres again draws upon traditional craft skills of the region and turns an ordinary traffic roundabout to a gateway to the town of Hartlepool.

Bainbridge 教授是森德兰地区美术界的领导者，这部作品指涉行星和恒星，由巨型铸铁球完成。制作过程中，艺术家们也是吸取这个地区传统的工艺技巧，它被安放在一个普通的交通环形道，从而把这个地方变成了通往 Hartlepool 的大门。

In a hashish trance, he hoped, it would be possible to understand the language of things more directly than in ordinary life—to experience a universe suffused with meaning.

在大麻引起的恍惚中，他希望能比日常生活更直接地理解事物的语言——去体验一个充满了意义的宇宙。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。