函数序列

A methodology of noise-like key generation is presented. Chaotic process of tentmap function is used as a deterministic generation of noise-like key, image storage and retrieval are completed in a algebraic form. A mathematics model of noise-like chaotic coding memory is constructed, meanwhile the basic mechanism of circulant convolution and circulant correlation in image information storage and retrieval are demonstrated.

在详细阐明数字序列和字母序列的1-D映射函数设计方法的基础上，利用构造出的1-D映射的稳定周期环和不稳定极限环完成了存储和联想记忆功能，为了识别有关的输入信息，提出了映射函数直接控制的方法；在此基础上，提出了一种1-D映射型混沌神经网络模型，该网络本身不当作一个"黑箱"处理，网络的参数值由网络中实现的映射函数来确定，该网络模型具有联想记忆、容错性、模式识别和奇异滤波等一系列智能信息处理的基本功能。

The characters of linear complexity profile of periodic sequences are investigat- ed. The relation between the continued fraction expansion of rational function and its 1- inear complexity profile is established. The expression of linear complexity profite is gi-~~en and a condition estimating the randomness of a sequence is presented. By the linear complexity profile, the bound of sphere complexity is proposed. A formula to record the number of sequences with given linear complexity profile is presented.

研究了周期序列的线性复杂度曲线特性，在周期序列生成函数的连分式展开式与线性复杂度曲线之间建立联系，给出了周期序列线性复杂度曲线的表达式；给出了判断序列随机性好坏的一个条件；利用线性复杂度曲线特性给出周期序列球体复杂度的一个估计；给出了具有给定线性复杂度曲线的序列个数的一个计数公式。

The speciality to let several coefficients of S-M algorithm are analyzed;(2) We first propose the nonlinear and adaptive prediction model based on several closest neighbors and extend the method to multistep prediction;(3) We first exploit Empirical Mode Decomposition technology to predict hopping frequency codes, it is namely that a complex time series is decomposed as several Intrinsic Mode Functions easy to prediction, then predict these IMF respectively, at last reconstruct estimated values of the time series;(4) We exploit the above prediction model validate effect while there are omitted data in observed time series and propose the corresponding resolve.

1具体分析了S-M算法中几个参数设置的特点；(2)首次提出了基于邻近点的非线性自适应预测模型，同时将这种算法推广到多步预测；(3)首次采用经验模态分解技术预测跳频码，即将一个复杂难以预测的时间序列分解为几个相对容易预测的本征函数，然后分别预测这些本征函数，最后重构出时间序列的估计值；(4)应用基于邻近点的非线性自适应预测模型验证了观测时间序列存在数据缺损时的预测效果，并提出了相应的解决办法。

In the thesis the theory of time series analysis, several models about time series analysis and the dynamic feature of time series analysis are expatiated in detail; how to use autocorrelation function and partial correlation function to judge the model is analyzed; a kind of better rule to determined rank is determined by comparing several kinds of determined rank; thereby the reverse function can be used to forecast.

本文详细阐明了时间序列的基本思想、几种常见的时间序列模型以及时间序列的动态特征；分析如何利用自相关函数和偏相关函数来对模型进行判定；通过对时间序列的几种定阶准则的比较，确定出一种较好的定阶准则来建立模型，从而利用逆函数法进行预报。

Because the special points can be regarded as features,and used as references in segmentation and alignment.This paper proposed an approach based on approximate string match to match the sequence of special points.

实现签名认证的方法大体上可以分为两类，第一类是从签名样本中提取一些全局参数作为特征，第二类则把签名样本的整个信号序列，如坐标序列ux，uy、压力序列up、速度序列uv等看作是时间的函数，把这些函数作为签名的特征[4~6]。

By using integral periodogram to estimate the spectral functions of a stationary time series, the invariance principle for the error process has been demonstrated either for Gaussian or non-Gaussian series.

用积分周期图估计平稳时间序列的谱函数，不论是高斯序列还是非高斯序列，其误差过程的不变原理都已被证明￣（［1］，［3］），许重光￣［5］采用自迥归谱估计的积分估计谱函数也证明了误差过程的不变原理成立。

Fractal is a subdiscipline of nonlinear area, researches on fractal characteristics of the deoxyribonucleic acid sequence may reveal some secret hidden in the DNA sequence during the process of biological evolution. Chaos Game Representation was proposed as a scale-independent representation for genomic sequences by Jeffrey in 1990. This technique, based on iteration function system, represents the word distribution statistics in DNA sequence as the fractal graphic. Therefore, we can get the distribution of sequence through analysis of fractal theory.

分形是非线性领域的一门分支学科，关于脱氧核糖核酸序列分形特征的研究，可以揭示生物在进化过程中隐藏在DNA序列中的某些秘密。1990年Jeffrey提出了基因组序列的与尺度无关的混沌游戏表示法，这是基于迭代函数系统的一种方法，它将DNA序列中一定长度字的分布规律表现为图形的分形特征，进而通过分形分析就可获取序列的分布规律，从而也成为DNA序列分析的一种统计方法。

This thesis will be expanded from two aspects: first, delta-sequence obtained by cubic spline interpolation cardinal function showed the properties of symmetry, Riesz basis and interpolation. Non linear convection diffusion equation (Burgers′equation) was used as an example. Then we modified this delta-sequence to improve the attenuation, the same example was used in numerical application.

在小波方法与PDE算法相结合方面，本文主要从两方面入手：首先是以样条插值基函数为基础构造δ-序列核，以非线性对流扩散方程为例给出了一种数值算法；进而对三次样条插值基函数进行改进，构造新的具有更快衰减性质的δ-序列核，同样以非线性对流扩散方程为例验证了新函数在数值求解中的有效性。

The main results are as follows:(1) In Chapter 2, the proof of the main theorem on quadratically related m-geometric sequences in [5] is simplified and consummated; A family of GMW-geometric sequences derived from GMW sequences are constructed, and their correlation functions and linear complexities are given.

本文也正是从扩频码序列的相关性能和安全性的角度来构造和研究了几类扩频码序列集合，得到以下的结论：（1）第二章首先简化并且完善了文献[5]中关于二次相关m-几何序列的主要定理；其次，在GMW序列的基础上构造了GMW-几何序列，计算了GMW-几何序列的相关函数；最后给出了GMW-几何序列的线性复杂度。

With the help of these conditions, computer efficiently searches out many quasi-perfect and double quasi-perfect punctured binary array pairs. The relationships among perfect punctured binary array pair, quasi-perfect and double quasi-perfect punctured binary array pair is presented. Specially, when first and second dimension period of the punctured binary ar

定义了非周期屏蔽二元序列偶的自相关函数、屏蔽二元互补序列偶和最佳屏蔽二元互补序列偶，给出并证明了屏蔽二元互补序列偶的变换性质；和它存在的组合允许条件，用计算机搜索出若干最佳屏蔽二元互补序列偶；给出了屏蔽二元互补序列构造出新的屏蔽二元互补序列偶的四种构造方法；并且，给出了利用不同长度的二元互补序列和屏蔽二元互补序列偶构造出新的屏蔽二元互补序列偶的四种构造方法。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。