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We study the relations among MS, QMDS, RBVS, AMDS, GBVS and NBVS. Finally. we improve some classic results in Fourier analysis such as uniform convergence, L~1 convergence, L~p-integrability, strong approximation of continuous functions et al., by applying this new condition.

我们研究了MS,QMDS,RBVS,AMDS,GBVS和NBVS等不同数列之间的关系,在此基础上,我们给出了NBV条件在研究三角级数的一致收敛性、L~1收敛性、L~p可积性、连续函数的强逼近等Fourier分析经典问题上的应用,对一些经典的结论作了推广。

Based on wave function expansion method, the potential functions of scattered waves are expanded into Fourier-Bessel series; and a set of cylindrical coordinate systems is utilized in such a way that it allows to solve the problem of multiple scattering; the solution is determined by imposing continuity and equilibrium conditions at the soil-pile interfaces.

采用波函数展开法,将散射波的势函数展开成Fourier-Bessel级数的形式,利用一组可以求解多散射问题的圆柱坐标系统和桩土界面处位移连续的条件,以及刚性桩的动力平衡条件,得到问题的理论解。

In this paper, we study the convergences and the growth of bi-random Dirichlet series by the strong law of large number s for independent and non-equally distributed random variables, and obtain some new result.

利用独立不同分布的随机变量序列的强大数定律研究了双随机狄里克莱级数的收敛性和增长性,得到了一些新的结果。

Through model test and data analysis, it is found that the precision of the FFT method is much higher than that of the Fourier Series method in vertical derivative calculation.

通过模型试验和数据分析,发现在计算垂向导数时波数域求导算法的精度比傅氏级数的精度有明显改善;而水平导数的计算,2种方法的精度相当。

The fundamental values of the voltage and current are got based on Fourier series extraction of fundamental sequence components using one cycle moving averaging.

电压和电流的基波正序分量采用滑动窗的提取傅立叶级数的系数的方法得到。

On the basis of color imaging system, an automated photoelasticity in white light for determining isochromatics and isoclinics is presented It includes two techniques One is automation of the ordering of color isochromatics based on BP neural network The other is whole field digital determining of isoclinic angles by five step color phase shifting Many limitations and drawbacks, which affect the precision of measurement, were more eliminated and improved The validity of experimental results was ...

以彩色信息图象处理技术为基础,围绕光弹性实验数据自动采集这个主题,提出用BP神经网络自动确定等色线分数级条纹及其级数的颜色插值法,以及全场数字化确定等倾角的五步彩色相移法。典型实验表明,上述方法在提高光弹性数据采集自动化程度和减少各种误差因素影响等方面均有所改善;进而提高三维光弹性薄切片应力分析结果的精度,促进实验应力分析的工程应用,扩大光弹性法的应用范围。

As a result, a two-adsoption films model is proposed to describe dynamic interface; a set of multivariated interfacial kinetic equations are estimated to calculate the activities and the reaction orders in interfacial phase; a surface expulsive effect that means an interfacial competition is discovered, and a mutual induction effect of interfacial activities is revealed in the complex synergic extraction system.

文中提出了描述动态界面的双膜吸附模型,建立了计算界面相活度和界面相反应级数的多元界面动力学方程组,揭示了反映界面竞争作用的表面排斥效应,发现了协萃体系中的界面相活度相互诱导效应。

It is one mixed response through reacting progressional research proved solidify reacts, different solidify cross-linking reaction is coinstantaneous, but what basically undertake is uncle amino reach second amino with annulus the reaction between oxygen radical, this kinds of reaction makes system be able to solidify.

通过反应级数的探究证实了固化反应为一复杂反应,不同的固化交联反应同时发生,但主要进行的是伯氨基及仲氨基和环氧基之间的反应,该类反应使得体系得以固化。

It is found that the validity of modal series method and linear modal method is not influenced by the second-order resonance condition, which has a great influence on normal form method. When the operating condition is near the second-order resonance condition, the valid area of normal form method is quite small.

发现模态级数法和线性模式分析法的有效性均不受系统共振的影响,而正规形法的有效性受系统共振情况的影响较大,在系统的2阶共振点附近,其有效域面积较小。

The saturationproblem of an operator sequence of a kind of strong summability is discussed.

研究了Fourier-Laplace级数的临界阶Cesaro平均的强求和,给出了强性一致逼进度的估计,并且讨论了一类强求和算子列的饱和性问题。

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