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According to induced response method, the expression in frequency domain of pressure response at the end of pipeline is derived using impulse response method and convolution theorem. The expression indicates that that transfer function is only related to the characteristics of pipeline system and the Fourier transform of flow variable only depends on the operating characteristics, and the pressure response in frequency domain is linear with the Fourier transform of flow variable.

基于激励响应法，应用脉冲响应方法和卷积定理得出了管道末端压力响应在频域中的表达式，此式表明：传递函数只与系统的特性相关，流量变量的傅立叶变换只与操作特性相关，且压力频域响应与流量变量的傅立叶变换为线形关系，根据此式在理论上能够得到管道泄漏点的重要信息。

The formulae were derived to calculate the spherical coordinates of any vector after the specimen was rotated any angles around any axis based on the homogenous coordinate theory. An example was put forward to show how to use the formulae to calculate the spherical coordinates of the crystal in the synchrotron radiation topographic analysis.

根据齐次坐标理论导出了单晶体绕样品台任意直线旋转任意角度后晶体中矢量坐标的计算公式，并以晶体同步辐射形貌分析的实例说明了如何利用此公式进行矢量计算。

The formulae were derived to calculate the spherical coordinates of any vector after the specimen was rotated any angles around any axis based on the homogenous coordinate theory.

摘 要：在利用同步辐射进行晶体缺陷的形貌研究时，为了获得晶体缺陷的三维分布信息，在实验中样品要在样品台上沿不同方向旋转轴进行多次旋转，因而需要计算样品经过多次旋转后任意矢量的空间坐标以及缺陷的取向坐标。

A hard copal derived from an African tree.

取自一种非洲树木的坚硬的柯巴脂。

Two conservation equations are derived from a Wigner-Fokker-Planck model, they contain a third-order quantum correction term and second-order viscous term...

然后 在弱的亚音速条件下利用截断技术建立解的先验估计，在此基础上根据Leray-Schauder 不动点定理得到四阶方程弱解的存在性。

A uniform auto-correlation and cross-correlation probability distribution functions of digital correlator is derived from the probability and statistics theory.

从概率论与数理统计出发，推导了一种统一的数字相关器的自相关峰和互相关峰的概率分布函数。

The solution derived from the correspondence principle is the same with the present result when the radius varies linearly.

在内径线性时变时，其结果与用对应原理法得出的解相同，其解的可靠性得到验证。

The energy dissipated is given in terms of the specific damping capacity of the structure, which gives a measurement of energy dissipation. A scheme based on the correspondence principle to obtain an estimation of the specific damping capacity was derived. It makes use of an intrinsic equation of the dynamic system, and about the cor...

根据动力系统的固有特征方程与材料弹性特性的关系，研究利用阻尼损耗因子定量描述在高频情况下，波在结构中传播时的能量耗散效应以及结构阻尼损耗因子的表示方法，并通过实验利用波的色散关系估计结构的动力粘弹性模量，理论分析和实验结果表明了这种方法的可行性。

Adopting 6 standard liquids surface tension values and their corresponding contact angles on top of garlic skin and garlic kernel, solid surface tension were derived as 46 and 34 for garlic skin and garlic kernel, respectively.

采用6种标准溶液之表面张力值，配合在蒜皮与蒜仁上之接触角测量，可计算推导蒜皮及蒜仁固体表面张力值分别为46 和34 。

Of or derived from the cortex of the adrenal glands.

肾上腺皮质的或源自肾上腺皮质的。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。