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The horizontal and vertical first derivatives of magnetic anomalies of an infinite cylinder are calculated by the cosine transform method, in which the maximum errors are -0.28 nT/m and 0.47nT/m, respectively and the percent errors are generally within -3.57%~3.27% and -1.94%~1.88%, respectively except several data of the boundary and part are bigger because of remains of Gibbus effect. The calculating curve and theoretical curve are approximately coincident, and there is no influence by effective magnetic dip angle in computing. But the errors with the Fourier transform method are -10.62nT/m and 14.42nT/m, there is large departure between the calculating curve and theoretical curve and evident influence by effective magnetic dip angle in computing.

利用余弦变换法计算的无限长水平圆柱体磁异常水平和垂向一阶导数的最大误差分别为-0.28nT/m、0.47nT/m;水平一阶导数的误差一般在-3.57%~3.27%之间,垂向一阶导数的误差一般在-1.94%~1.88%之间;计算的磁异常一阶导数值与理论值大致重合,而且不受有效磁化倾角的影响而Fourier变换法计算的水平和垂向一阶导数最大误差分别为-10.62nT/m、14.42nT/m,计算曲线与理论曲线偏离大,受磁化倾角的影响也较大。

The relationship among the order of FRFT, the power of the pump beam and the propagation distance z is given. Mutual induced FRFT is another new method to realize light control light.

通过改变泵浦光的光功率,可以在同一位置得到信号光不同阶数的光学分数傅立叶变换图象,互诱导分数傅里叶变换是实现光控光的又一方法。

First, we study the optimization of the estimate mean-square error of the polynomial interpolation. We introduce a window shift concept, derive the optimal window shift, and propose the estimation method of the value under a given interpolation order.

首先,我们探讨多项式内插通道估计演算法的估计误差之最佳化,提出滤波器窗口漂移概念,在给定内插阶数的情况下,推得最佳漂移量的理论值与其值估计方法。

By using the theory of linear algebra and that of groups,some sufficient and necessary conditions of isomorphic relation systems were found, and the degrees of the groups of these isomorphisms were obtained.

将线性代数及群论的有关知识应用到关系系统上,得到了两个关系系统同构的一些充要条件,并计算出这些同构所作成的群的阶数

This dissertation mainly includes the following four aspects:(1) Design of oversampled near perfect reconstruction DFT modulated filter banks. Firstly,the property of transfer function and aliasing transfer function are analyzed.

首先,分析了传递函数和混叠传递函数的性质,给出了因果FIR DFT调制滤波器组的系统延迟与线性相位分析和综合原型滤波器阶数的关系。

In this formula, M is the order of the modulator, and K is the oversampling ratio during the conversion.

在这个公式中,M是调节器阶数,K是转换过程中的过采样速率。

Computer simulations show that the performance of proposed method is better than that of conventional oversampling methods, and it is robust to over-estimated channel order.

仿真和分析显示该方法的性能优于传统的过采样盲信道估计方法,且对信道阶数过估计不敏感。

The performance of this method is better than that of conventional oversampling methods, and it is robust to over-estimated channel order.

该方法性能优于过采样信道估计方法,且对信道阶数过估计不敏感。

The main component dehydroabietic acid and little component abietic acid, neoabietic acid, levopimaric acid and pulustic acid of a few types disproportionated rosin were determinated quantitatively by selecting the proper order of derivative, differential wavelength difference, scanning rate and quantitative method.

通过选择合适的求导阶数、微分波长差、扫描速度和定量方法,对不同批号的歧化松香中的主成分脱氢枞酸和微量组分枞酸、新枞酸、左旋海松酸及长叶松酸进行了测定(其中左旋海松酸和长叶松酸测定的是合量),实验结果令人满意。

When 〓 is the family of bipartite graphs,the 〓 capacityand the 〓 valency of a graph G are referred to as the biparticitydenoted by β(Gand the bivalencydenoted by 〓(Gof G respectively;when 〓 is the family ofgraphs whose components are complete bipartite graphs,the 〓 capacity and the〓 valency of a graph G are referred to as the complete biparticitydenoted byc(Gand the complete bipartite valencydenoted by 〓(Gof G respectively;andwhen 〓 is the family of star forests,the 〓 capacity and the 〓 valency of a graphG are referred to as the star arboricitydenoted by st(Gand the star valency ofG(denoted by 〓)respectively.

以v记图G的完全二部分解中顶点υ所关联的π中完全二部图的个数,记〓这里π取遍G的所有完全二部分解。我们称υ为G的完全二部次。对一般的图,当图的阶数充分大时,P。〓和L.Pyber给出了υ的一个上界,即,〓。F.R.K.Chung等人及Z.Tuza的结果说明这一上界是不可改进的。对υ的具体值,即使是对某些特殊的图类,结果也知之甚少。P.C.Fishburn和P.L.Hammer给出了一个相关的结果:当n≤16时,〓,(在υ的定义中,以完全二部覆盖替代完全二部分解,即得〓。同时他们提出了下述公开问题。问题1。〓=?

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