谱

We first introduce the positive real spectrum function and bounded spectrum function then establish the parametrization of the power spectrum by the Levinson polynomials associated with the autocorrelation matrix of the output and bounded spectrum function.

首先引入正实谱函数的和有界谱函数的概念，利用正实函数和有界实函数理论，通过和过程自相关矩阵相关联的Levinson多项式和有界谱函数，建立了功率谱参数化的表达式。

But in the anomalous dispersion regime,the quintic nonlinearity only changes the peak value of the gain spectra and almost does not influence the width of the gain spectra.

在光纤正常色散区，正五阶非线性使增益谱的谱宽和峰值增大；但在反常色散区，五阶非线性仅改变增益谱的峰值，几乎不影响谱宽。

First, the paper introduced the principle of the method,discussed the influence of sample interval of relaxation spectrum in the method and compared the method's result with the result from core mercury injection.

首先 ，介绍了基于梭状函数抽样的高分辨率弛豫谱反演方法的原理，并用该方法对岩心核磁数据进行了弛豫谱分解，讨论了弛豫谱抽样间隔对该方法的影响；其次，高分辨率弛豫反演结果和压汞结果的比较证明了弛豫谱反演方法的高分辨率优点。

In determining the power spectrum of the wind, Lomb-Scargle periodogram was used.The planetary waves with periods 120 hours,60hours and 35 hours, diurnal, semidiurnal and terdiurnal tides were found at height 86.4km in the zonal wind.

首先利用Lomb-Scargle周期图方法计算了大气纬向风场的功率谱，除了行星波和潮汐外，在行星波、潮汐的频率和与频率差处有明显的谱峰，双谱分析表明这些谱峰是行星波和潮汐相互作用形成的。

The spectral curve vs invariant mass is becoming wider and the peak is shifted towards the high invariant mass region with the increase of temperature. However, in ultra high temperature or density envi- ronment, the peak is shifted towards lower region and the curve is changed narrower with the increase of temperature. In the invariant mass region M 憕.-?0.4 GeV?.6 Ge1~, the spectral function is enhanced very much. which contributes to the interpretation of dilepton enhancement results in relevant experi

结果显示高温高密强子物质环境对其有非常重要的影响：ρ谱函数在温度或密度不太高时谱函数曲线变宽，并且峰朝不变质量高的方向移动；在极端高温或高密情况下谱函数却变窄，并且峰朝不变质量低的方向移动，在不变质量M～0.4-0.6 GeV区间谱函数有比较明显的增强，这有助于解释双轻子产生的相关实验现象。

By analyzing the theory of higher order cummulants and higher order spectrum ,the methods of machine fault feature extraction are researched based on higher order spectral analysis by using the character that higher order spectrum can restrain the gauss noise.

在分析高阶累积量与高阶谱的理论基础上，利用高阶谱可以抑制加性高斯噪声的性质，研究了基于高阶谱分析的机械故障特征提取方法，提出了基于双谱估计的齿轮故障诊断的方法。

The modem spectral estimate and higher order spectral analysis are utilized to estimate the spectrum of the atom clock data respectively, and the noise characteristic is analysed by fitting to the spectrum of the atom clock.

利用现代谱估计法和高阶谱法分别估计原子钟数据的功率谱，并对功率谱进行拟合，可分析原子钟的噪声特性。

The following are the major work in this thesis which has been studied and still needs to be studied further in the future: 1 An improved adjoint variational method is developed, thus it can be applied to the LAGFD-WAM Wave Numerical Model for data assimilation; 2 A linear evolution equation of spectral perturbation is derived in order to analyze its increasing or decreasing mechanism.

本论文主要完成了以下几个方面的研究： 1）建立了推广形式的共轭变分同化方法，使之能够应用于LAGFD-WAM海浪数值模式； 2）导出了扰动谱线性演化方程，分析了扰动谱增长、衰减机制，考察了涌浪情况下扰动谱的持续时效问题及风浪情况下扰动的演变过程； 3）利用波谱共轭方程初步分析了同化模型中距离泛函的敏感性及敏感区域空间分布； 4）将推广的共轭变分方法应用于海浪谱能量平衡方程，建立了连续形式的海浪同化模型，特别是严格导出了风输入、破碎、底摩擦、波波非线性相互作用和波流相互作用各源函数的共轭源函数表示式； 5）分别进行了波谱层次上和有效波高层次上的同化试验，并对数值结果进行了分析。

In this paper,a review on the recent studies of the spectra of complex networks has been presented.First,we introduce relations between the spectral density and the structure of the three important network models and the applications in the centrality and bipartivity.Next,we describe the scaling invariance property of the spectral series and ...

本文总结了近年来在网络特征谱方面的研究进展，首先介绍了3类重要网络模型邻接矩阵的特征谱密度和网络结构的关系及其在网络中心性和二分性中的应用，接着介绍了谱序列中存在的标度不变性和结构涌现，然后介绍了网络Laplacian矩阵的特征谱与网络同步之间的关系以及在分析网络社团结构中的应用，最后指出了进一步研究的方向。

In this paper,lower bounds on the spectral radius of adjacency matrices of trees and perfect trees are discussed by algebraic method and edge switching of graph,and all trees which reach lower bounds on the spectral radius are obtained.

利用代数方法、图的边变换，以及树的邻接矩阵谱与L ap lacian谱的关系，研究树和完美树的邻接矩阵谱半径和L ap lacian谱半径的下界，给出达到下界的所有极树，得到的新结果改进了文献[2]的结论。

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。