级数的

The potential functions of incident and scattered waves were expanded into Fourier-Bessel series, and the coefficients of scattering waves field were determined by imposing continuity conditions of stress and displacement at the soil-pile interfaces with the help of a set of cylindrical coordinate systems and in accordance with the Graff's addition theorem.

将倾斜入射波和散射坡的势函数展开成Fourier-Bessel函数的无穷级数的形式，利用一组圆柱坐标系统和Graff加法转换定理，通过施加桩土界面处的应力和位移连续的边界条件，求解出散射波势函数的待定系数，进而得到饱和土体中任意点的位移和应力。

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。

By using the tensor product of matrix, stride permutation matrix and matrix power series under the meaning of matrix direct sum, the parallel algorithm, including the scrambling algorithm, can be expressed integrally. This description provides a convenient tool for the study and application of parallel FFT algorithm.

本文提出了矩阵直和意义下幂级数的矩阵运算，同时利用迭代形式的矩阵方程将混合基FFT的并行算法及其数码倒置算法完整地表示出来，为并行FFT算法的研究和应用提供了方便的表示手段。

Compared with the compress algorithm based on trigonometry invariant equation, the new algorithm can double the compress ratio with the same performance, which means reduction the power and higher operating speed of the digital modulator.

在得到相同性能的前提下，与现有的基于三角恒等式的压缩方法相比，基于Talor级数的压缩算法提高了1倍的压缩比，从而使更快速更低功耗的数字调制器的实现成为可能。

The time-domain response of the induced currents on a scattering object irradiated by a plane wave with a Gaussian pulse in time is expanded as an associate Hermite series in this paper. Using the isomorphism of the associate Hermite function and its Fourier transform, the frequency-domain information can be obtained similarly to the time-domain expansion. According to the corresponding relation between time-domain analysis and frequency-domain analysis, and using the early-time response and the low-frequency information of the induced currents, the non-known coefficients in the expansion series can be decided. The entire responses of the induced currents on the scattering object in both time and frequency domains can be obtained at one time by simultaneous extrapolation computation using both the early-time response and the low-frequency information of the induced currents.

摘要首先根据散射体在高斯脉冲平面波激励下感应电流的能量几乎全部集中在时间轴和频率轴上的有限范围内，该文将时域响应展开为系数待定的连带Hermite级数的叠加，并根据连带Hermite函数的傅里叶变换的自反性，得到与时域响应形式类似的频域响应；然后利用时域方法和频域方法分别计算散射体上感应电流的早时响应和低频信息；最后经过时域和频域联合外推计算，由早时响应和低频信息确定时域和频域响应的待定系数，从而获得了整个时域和频域的完全响应。

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。

In this paper we investigate the researching state, the developing situation and the prospect for the summability , the strong summability and their relevant approximating oder , strong approximating oder of Cesdro mean - an important linear summation process of the Fourier - Laplace series of functions on sphere.

本文研究了球面上的函数用其Fourier—Laplace级数的一种重要的线性求和法-Cesaro平均来求和与强求和及其相应的逼近与强逼近的阶的研究状况、发展态势和前景展望等。

Based on mastering traditional classification model of thematic cartography elements, we apply fuzzying mathematics, statistics, information theory and so forth, to cartographical data processing model, perfect each model of making sure of grading circumscription, and build an algorithm how to automatically fix on the number of grading.

本文在掌握了传统的专题制图要素分级模型的基础上，把模糊数学、统计分析及信息论等近代数学方法运用到了地图数据处理模型中来，提出并完善了各个分级界限的确定模型，并建立了如何自动确定分级数的算法模型。

Under the first perturbation approximation, the contribution of the torso scatterings increases with higher frequency, with shorter distance between the source and head center, with lower elevation of the source, and with azimuth departing from the ear.

在一级微扰近似下，躯干散射对HRTF的影响整体上随频率的升高、或声源距离的减小、或仰角的降低、或声源相对受声耳方向的偏离角度的增大而增大。随着微扰级数的增加，高阶微扰项对计算结果的贡献迅速减少。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。