序列关联

The study investigates time fractal properties of time series of spontaneous discharge of auditory nerve, we bring to light the shortcoming of the algorithm of capacity dimension and correlation dimension applied to time series of spontaneous discharge of auditory nerve, and offer basis to further study.

本研究从多角度考察了听神经自发放电时间序列的时间分形特性，指出了标度变换法和关联维G-P算法应用于听神经自发放电时间序列分维值计算的不足之处，分析了听神经自发放电序列赫斯特指数的意义，为进一步开展相关的研究提供了基础。

In this paper, concepts of grey absolute relation coefficient and grey relative relation coefficient are proposed. And a computational formula of grey relation grade is developed, which formes a new theoretical model for analysis of grey relation.

1引言灰色关联分析是灰色系统理论的一个重要内容，它通过参考序列与比较序列各点之间的距离分析来确定各序列之间的差异性和相近性，从而找出各因子之间的影响关系及影响系统行为的主要因子。

In this study, on the basis of information theory and statistical methods, we use mutual information, n-tuple entropy and conditional entropy, combining with biological characteristics, to analyze the long range correlation and short range correlation in human Y chromosome palindromes.

本文中，我们利用信息论和统计学的方法并结合生物学的特征研究人类Y染色体回文序列的互信息、'n字'熵、条件熵，定量分析了回文序列的长程关联和短程关联，发现其中既存在长程关联，也存在短程关联，并且它们主要是由序列中的重复序列引起的。

Based on the research work of basic theories including phase space reconstruction,embedding theorem,correlation dimension,local dynamics,Lyapunov exponents,surrogate data etc,based on the research work of general methods such as principal component analysis,correlation dimension GP algorithm,false neighbors method,nonlinear time series prediction,local prediction, adaptive prediction,neural network model,support vector machines regression model, prediction power,nonlinear detection,coarse-graining methodology,conditional entropy and so on,the framework of nonlinear time series analysis are constructed.

在对包括相空间重构、嵌入定理、关联维数、局部动力学、Lyapunov指数、替代数据(来源：A97BC论文网www.abclunwen.com)、等基本理论与其物理意义的研究和讨论基础上；在对包括主分量分析、关联维数GP算法、伪邻近点法、非线性时间序列预测、局域预测、自适应预测、神经网络模型、支持向量回归模型、预测效果、非线性检测、粗粒化方法、条件熵等非线性时间序列一般分析方法的原理和算法研究基础上；构建了新的非线性时间序列分析的理论体系，归纳总结了非线性时间序列分析的基本问题和主要研究方面。2。

The gray relational analysis have four steps :(1)grey generating;(2) grey relational coefficient;(3) grey relational grade;(4) gey relational ordinal. In Grey Relational Grade of weighting is using Entropy weighting.

另外以各品质特性，进行灰关联生成与计算灰关联系数，以熵权重将各序列组的灰关联系数整合成一灰关联度，由灰关联度排序获得最佳参数组合。

This paper analyzes irrational number series of square root of 2 and e in six aspects involving autocorrelation function,Power Spectral Density,phase space construction,correlation dimension,Principal Component Analysis and maximal Lyapunov exponent.

将已提出的π序列定义和分析方法推广到无理数领域，引出了无理数序列，并以常用的无理数根号2、e为例，对无理数序列的自相关、功率谱、相空间、关联维数、最大Lyapunov指数和主分量等6个方面进行深入分析。

Research of Mining Relationship Patterns in Multiple Time Series An algorithm for discovery frequent patterns in multiple time series will be proposed.

2多时间序列间关联模式挖掘研究针对更有分析价值的多序列关联模式，进一步提出一种新颖的关联模式挖掘方法。

OLAM technology based on relevant rules and its visualization in multi-dimension have been researched. The data of product sales was analyzed with relevant time sequence and was visualized. The rules of the products relevance were analyzed, which can provide evidence for supporting decisions such as promotion strategy.

论文研究了基于关联规则的OLAM及其多维可视化的若干关键技术，对产品销售的数据进行了序列关联分析并将其可视化，剖析了销售产品之间的关联规律，为企业的促销策略等决策支持提供依据。

Neural networks based on local sequence and amino acid component with the best structures and linear equation are constructed. The results of testing to the networks indicate that the forming of cis-proline has distinct relationships with local sequence and amino acid component. A new method for peptidyl prolyl cis/trans conformation prediction based on the theory of support vector machines was introduced. The SVM represents a new approach to supervised pattern classification and has been successfully applied to a wide range of pattern recognition problems.

通过运用神经网络与线性拟合的方法，揭示了脯氨酸局部序列、肽链氨基酸组分对于顺式脯氨酸形成与否的影响，构造了基于局部序列和基于氨基酸组分的最优结构的神经网络，以及线性拟合方程，同时对顺式脯氨酸进行了筛选，结果表明，利用神经网络的方法可以提高顺式脯氨酸筛选时的信噪比，脯氨酸采取顺式还是反式构象与其局部的序列以及整条肽链的氨基酸组分均有较强的关联。

In addition, basing on the tight-binding model of the single electron and transfer matrix method, we study the charge transfer properties of Fibonacci sequence and discuss specially the dependent of electronic transmission on energy and the length of the sequence. We find some resonant peaks can survive in relatively longer Fibonacci sequences than random sequences, which also implies there are long-range correlations in Fibonacci sequences.

从Anderson紧束缚模型出发，采用传输矩阵方法研究了Fibonacci序列的电子输运特性，讨论了输运系数对能量及其序列长度的依赖关系，发现随着序列的长度增加，具有好的透射性的电子态数量有所减少，但相对于随机序列而言，共振能态可以在更长的序列中存在，进一步证明了Fibonacci序列中存在有较强的长程关联行为。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。