查询词典 singularity

But the singularity location inversed by Born approximation inversion is false except the first interface.

本文第二章对Born近似反演算法进行了深入研究和分析，指出了Born近似反演存在的问题。

Considering problem mentioned in above part and founding on Bleistein's and Cohen's researches on Born approximation, the author carries out depth imaging inversion by using inverse scattering series for obtaining the singularity locations of layers.

实际上，从地球物理的实用观点出发，人们特别关心的往往并不是要求恢复全部的物性参数，而是要知道它的间断性及梯度变化较大的状况和位置。

Methods Fast Multipole Boundary Element Method ,the method of solving the singularity,and the method of Laplace Transformation.

目的研究基于多极边界元法的三维位势问题解的奇异性处理方法。

We research the singularity of linear boundary value problem by making use of localizabledistinguishing feature of wavelet.

我们利用小波具有良好的局部化特点来研究线性边值问题的奇异性，提出了改进的小波配点法。

The main jobs of the paper are as follows, Multi-scale decomposition and reconstruction of wavelet transform is utilized to filter the noise of negative-pressure-wave, which is brought by leakage. With the capacity to detect the signal singularity quickly and accurately, wavelet transform was used to catch the break point of pressure signal. Accordingly, the work improved the location accuracy.

主要研究工作有：利用小波变换的多分辨率分解和重构技术，对采集到的管道泄漏产生的负压波信号进行消噪处理，并对几个影响消噪质量的关键因素及其选取方法进行了分析；再利用小波变换技术对信号奇异点的快速、准确的识别能力，对经消噪后的负压波信号进行奇异点捕捉，从而实现更精确的单条燃气管道泄漏定位。

This paper combines with pipeline delivery of our countrys actual conditions and other methods of detection and location. To the leakage characteristic of the fault to the long-distance natural gas pipeline, a method is raised, which is on the basis of wavelet and negative-pressure-wave to detect the leakage and locate. Jobs in this paper are as follows:Multi-resolution decomposition and reconstruction of wavelet transform is utilized to filter the noises, which the leakage brings the noises of negative-pressure-wave. The research is worked in the wavelet and wavelet packet filter. The wavelet transform have a fast and accurate recognition capability to signal singularity. This paper chooses wavelet technology to catch the break point of pressure signal.

本文结合我国管道输送的实际情况和目前现有的各种泄漏检测与定位方法，针对天然气长输管线泄漏故障的特点，提出了基于小波分析和负压波相结合的方法检测泄漏并定位，其中主要进行了以下几个方面的工作：利用小波变换的多分辨率分解和重构技术，对采集到的管道发生泄漏时产生的负压波信号进行降噪处理，并对小波及小波包优化的降噪效果进行对比性研究；利用小波变换技术对信号奇异点的快速、准确的识别能力，捕捉负压波信号的突变点，从而判断是否有泄漏发生。

Because the temperature along the pipeline is not a constant, it changes the velocity of the negative-pressure-wave; the Romberg algorithm of numeric integral and the searching for algorithm are emloyed to locate the leakage.Multi-scale decomposition and reconstruction of wavelet transform is applied to filter the noise of negative-pressure-wave, which was brought by leakage. With the capacity to detect the signal singularity fast and accurately, wavelet transform was used to catch the break point of pressure signal. The work improved the accuracy of Δt in location formula, and the location accuracy is improved.

利用小波变换的多分辨分析和重构技术，对采集到的管道发生泄漏时产生的负压波信号进行了消噪处理；并利用小波变换技术对信号奇异点快速、准确的识别能力，对经过消噪处理后的负压波信号进行了奇异点捕捉，准确确定了定位公式中上、下游站点采集到的负压波奇异点的时间差△t，从而提高了定位的精度。

The boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function uses Cauchy integral formula as the foundation . The singularity of the Cauchy

广义解析函数的Riemann-Hilbert边值问题的边界元方法是以Cauchy公式为基础，Cauchy核具有奇性，这是所面临的困难，可以设法利用Cauchy主值积分来解决，最后给出问题的解。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and Riemann boundary problem, analytic relations between the complex potentials were obtained.

研究压电材料在均匀热流作用下螺型位错与圆弧裂纹的相互作用，综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

By combining the theory of sectionally holomorphic function,the analytical extending method,Cauchy model integral,the analysis of the singularity of complex functions and Riemann boundary problem,analytic relations between the complex potentials were obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。