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A efficient LU decomposition method is spectral factorization. That is, after the minimum phase correlative function of each array of matrix had be given by a spectral factorization method, all of the functions are arranged in a position according to its former location to get a lower triangular matrix.

谱法LU分解的优点是在对大量具有相同非零结构的矩阵分解时,通过建立包含所有具有不同非零元素的列对应的自相关函数的分解表,使得随后的所有矩阵分解只需通过查表实现。

Through adopting frequency-response functions and railway track irregularity PSD, methods and models are optimized. The speed of simulation is enhanced with fast Fourier transformation.

通过引入频响函数及轨道不平顺谱优化了列车荷载数值算法及计算模型,并在数值计算中采用傅里叶快速数值算法,提高列车荷载的模拟的效率和可靠性。

The intensity of grating diffraction spectrum is obtained by the Fourier series expansion of the transmissivity function. Finally, the design feasibility is analyzed by comparing the minimum signal spectral intensity with the maximal spectral intensity of the background light and the noise intensity.

通过对透射率函数的傅立叶级数展开,得到光栅衍射谱线的强度,对信号光谱线的最小强度、背景光谱线的最大强度和噪声强度的比较,得到设计的可行性。

Theoretical analysis proves that,when the pixel number,pixel size and reconstructed wavelength of the hologram are certain,computer simulated algorithms of Fresnel diffraction integral fall into convolution algorithm,angular spectrum algorithm and direct Fourier trans...

通过对相位函数局域空间频率的分析,给出了判定算法适用范围的特征再现距离,并分析得出,再现距离大于特征再现距离时,适合用卷积法;小于特征再现距离时,适合采用角谱法;等于特征再现距离时三种方法都适用。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是:给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系;引入了正则预解族的概念,并给出了其生成定理和解析生成法则;给出了分数次预解族与其生成元的谱包含关系,并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题;利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族;利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族;运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族,并给出了该预解族的范数估计。

The earthquake ground motion is modeled as a twice filtered Gaussian white noise process, and the parameters of the power spectral density function of the process are determined.

将地震地面运动模拟成两次过滤Gauss白噪声过程,并确定了这一过程的功率谱密度函数的参数。

Inthis paper, we collect 119 γ-ray-loud Blazar 97 flat spectrum radioquasars (FSRQs and 22 BL Lacertae objects,and investigaterespectively the correlation between the γ-ray emission (maximum,minimum, and average data) at 1GeV and the radio emission at 8.4GHz bydiscrete correlation function method.

收集了119颗有γ射线噪的Blazar天体样品(97个平谱射电类星体和22个BL Lac天体),用离散相关函数方法分析了1GeVγ射线辐射流量(最大值、最小值和平均值)与8.4GHz射电辐射流量之间的相关性。

In order to obtain spectrum intensity distribution inside a circular luminant without damage,a measuring method depending on Abel transform was developed.

为了在无损状态下获得圆截面发光体内部谱线强度空间相对分布,提出了利用Abel变换,将被检对象外部的逐层扫描数据通过3次样条函数方法数值求解,从而得到被检对象内部参数分布情况的实验方法。

ABSTRACT In this thesis, the microstructure, the in situ tensile fracture processes and the mechanism of deformation and fracture of the SiC whisker reinforced aluminium composites made by a squeeze casting method were studied by means of SEM, TEM, HVEM, AES, HREM, electronic tensile machine and magnetic tape recorder. The dislocation theory and the complex function method were also used during analysis.

本文利用扫描电镜、透射电镜、高压电镜、俄歇谱仪、高分辨电镜、电子拉伸机和磁带式记录仪等设备和技术以及位错理论和复变函数方法研究了由高压凝固铸造法制备的碳化硅晶须增强铝复合材料的显微组织、动态拉伸断裂过程以及在特殊条件下变形和断裂的规律。

By using Matsubara Green function theory, we have studied the magonon spectrum, and calculated the magnon dispersion curve on the Aline in the Brillouin Zone for different parameters and transformation of temperature in the system.

利用格林函数方法研究了磁振子-声子相互作用下的三角绝缘铁磁体的磁振子谱,计算了布里渊区的A线上的磁振子色散曲线。

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With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务,乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐,因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。

Closes the eye, the deep breathing, all no longer are the dreams as if......

关闭眼睛,深呼吸,一切不再是梦想,犹如。。。。。。