Scale invariance can be described by means of fractal and multifractal models.
尺度不变性可用分形和多重分形模型来表征。
In this paper, we study the multifractal analysis of local entropy and topological sequence pressure.
本文主要研究了动力系统中的局部熵的重分形分析和序列拓扑压的定义与性质。
The result shows that the sleep EEG series has the multifractal features as well as long range correlation.
计算结果表明，睡眠脑电序列具有长程相关性，而且是多重分形过程。
The results show that the multifractal characteristics of GSRE are closely related to the geodynamic environment.
结果表明，地震活动时空分布的多重分形特征与不同地球动力学环境关系密切。
A multifractal analysis approach to the problem of image edge detection use in the medical diagnosis is proposed.
本文提出了应用在医疗诊断上的一种基于多重分形分析的边缘检测方法，并应用在变形性骨炎的诊断中。
The multifractal growth process of the SEM images of catalyst surface is studied using fractal and multifractal theory.
本文讨论了催化剂表面SEM图象关于多重分形生长过程的分形和多重分形特性分析。
An extending method is here used to correct the deviation of gray level setting-up so as to improve the multifractal spectrum.
采用外延的方法修正灰度设置的偏移可以对多重分形谱有所改善。
Therefore, the logging multifractal analysis method will take some practical significance in study of the complicated formation.
测井曲线的多重分形分析方法对于复杂地层的研究具有一定的现实意义。
And from there different aspects, this thesis forecasts the fluctuation of stock-price with multifractal spectra and its parameters.
论文的研究重点是从三个不同的方面将多重分形谱及其参数应用于股价波动性的预测研究。
Recently, the study on the multifractal nature of Internet traffic has been becoming a hot-point in the field of study on communication networks.
近年来，关于因特网业务量多重分形性的研究已成为网络通信研究领域的一个热点。
Multifractal spectra are used to describe quantitatively the irregular distribution of island patterns obtained under different growth conditions.
多重分形谱用来定量表征不同生长条件下岛的分布。
Applying characteristic parameters of multifractal Spectrum, this paper depicts multifractal characteristic of crude oil and fuel oil futures price system.
通过引入多重分形谱特征参数，刻画了原油和燃料油期货价格系统的多重分形特征。
We give multifractal detrended fluctuation analysis and Hlder analysis of discrete time series and use them to study the temperature time series fluctuations.
给出了离散时间序列多重分形除趋势涨落分析方法和霍尔德指数的计算方法，并用它们研究了气温时间序列。
In this section, the concept of multifractal eigenvalue is proposed, so a pair of multifractal eigenvalue can represent multifractal character of stock series.
在这部分本文提出了股票数据多重分形特征值的概念，可以用一对多重分形特征值来表征股票序列的多重分形特性。
The theoretical anomalous characteristics of multifractal spectra on high-frequency stock-price time series are firstly deduced during prices fluctuate sharply.
第四部分是多重分形谱参数在预测高频股价时间序列在下一个交易周波动幅度方面的应用。
This article proves by analyzing network data that network traffic is multifractal and self-similar is not adequate to describing network traffic in fast switch Ethernet.
在快速以太网中的网络传输是多重分形的，而用自相似模型来描述是不够精确的。
This paper compared different arithmetic of multifractal, and the improved multifractal arithmetic was used to compute fault feature parameter of reciprocating compressor.
本文研究分析了不同的多重分形算法，确定使用更简便、快速有效的多重分形谱改进算法来求取往复压缩机的故障特征参数。
Topologic bifurcation situation of maxima lines is also discussed. In the end, an estimation for multifractal spectrum is proposed in terms of wavelet module maxima lines.
探讨了分形测度小波变换极大值线的拓扑分岔情况，并提出了一种基于小波变换模极大值的多重分形谱估算方法。
After original returns series are conducted by permuting and surrogate data, it is found that distributing character of returns is important source of multifractal spectrums.
对原始收益率序列进行置乱操作和替代数据处理，发现收益率序列的分布特征是多重分形谱产生的重要原因。
The mathematician Benoit Mandelbrot, who pioneered the application of chaos theory to financial markets, refers to this phenomenon as the "multifractal nature of trading time."
伯尼特·曼德尔布罗特是数学家，他首先把混沌理论运用到金融市场，他说这种现象是交易时间的不规则性。
Then, multifractal analysis is performed for low frequency sub-band. The multifractal spectrum is used as the characteristic parameters to filter pixels which mark different scenery.
然后对低频子带进行多重分形特性分析，再将多重分形谱作为特征参量进行像素筛选，筛选出标志不同景物的像素点。
From the view of fractal information theory, the multifractal has been introduced, and the multifractal dimension spectrum function based on the fractal entropy has been investigated.
本文从分形信息论观点出发，考察多重测度分形，导出基于分形熵比的多重分形维谱函数。
Aiming at complex circumstance of waste rock hill, such as forming gully, seeper pool and so on, multifractal offers a new method to settling the problem of groundwater contamination.
针对矸石山附近存在冲沟、积水池等复杂条件下的地下水污染问题，多维分形提供了一种新的研究方法。
In this paper, a new multifractal algorithm is proposed based on sub-pixel edge measure. The method can precisely divide the image from texture to edge for image singularity analysis.
本文提出了一种基于亚像素边缘测度的多重分形算法，应用于图像奇异性分析中可以实现从纹理到边缘各层面的精确划分。
Based on digital image processing and fractal, multifractal spectrum was applied to wood inner defects recognition, the range of multifractal spectrum was set for wood image detection.
基于数字图像处理技术和分形理论，应用多重分形频谱理论对木材内部缺陷进行识别，并设定了适用于木材图像检测的分形频谱值范围；
For major ore-forming elements, the range of the left-side of the multifractal spectrum is larger than that of the right-side, but those non-ore-forming (elements) are on the contrary.
地球化学场中元素在空间上的分布具有连续多重分形特征，与成矿密切相关的微量元素一般显示左侧开口明显大于右侧开口，而非主要成矿元素则右侧开口较大；
The first chapter is about graph-directed self-similar sets in complete metric spaces, and the second chapter is about multifractal analysis of equilibrium measures in dynamical systems.
其中第一章是关于度量空间中的图定向自相似集合，第二章是关于动力系统中平衡态测度的重分形分析。
In this paper, sea clutter and radar echoes from ship targets are analyzed with the concept of multifractal, and their multifractal dimensions are extracted for detection of ship targets.
利用多重分形的概念对海杂波和舰船雷达目标回波进行了分析，并提取出其多重分形特征用于舰船目标检测。
The multifractal features are extracted from the vibration signals of different spots on reciprocating compressor using the improving arithmetic, the general dimension spectrum of bearing.
采用多重分形改进算法提取往复压缩机振动信号的多重分形特征，得到了轴承故障的广义维数谱。
The multifractal features are extracted from the vibration signals of different spots on reciprocating compressor using the improving arithmetic, the general dimension spectrum of bearing.
采用多重分形改进算法提取往复压缩机振动信号的多重分形特征，得到了轴承故障的广义维数谱。
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