本文研究了填充维数与上盒维数的关系。
In this paper, we discuss the relation between packing dimension and upper box dimension.
本文提出了一种新的计算分形维数的方法。
In this dissertation, a new computation method of fractal dimension has been presented.
这可能是由于基板及几何维数的限制导致。
This may be due to the substrate effect or geometric confinement.
几何维数的急剧减少导致数字分析的极大简化。
The drastic reduction in the geometric dimension leads to great simplification in mathematical analysis.
本文从理论上讨论了材料断裂韧性与分形维数的关系。
The relationship between the fracture toughness of materials and the fractal dimension value of fractured surfaces was discussed theoretically.
本文通过分形维数的计算给出了一种自适应分形滤波方法。
In this paper, we obtained a kind of adaptive fractal filtering method by calculation of fractal dimension.
不然，您得到的是第一维的和，并生成一个降低了维数的新数组。
Otherwise, you add along the primary dimension, producing an new array of reduced dimension. For example.
研究了沃尔什函数在测井资料反演中降低反演维数的原理和方法。
The principle and the methodology of Walsh function decreasing the unknowns and reducing the dimensions in well logging data inversion are studied.
盒维数的简单统计结果可以作为PQ神经网络分类器的输入特征量。
After simple statistics, the dimension can act as the input vector of ANN for PQ classification.
依信息维的定义：本文给出计算地震空间分布信息维数的具体方法。
According to the definition of information dimension: d, the concrete method for computing information dimension of space distribution of earthquakes is given in this paper.
基于地毯法估计分形维数，提出了图像局部分形维数的最优估计方法。
Based on the blanket method, a novel algorithm for estimating the local fractal dimension of texture images is presented in this paper.
本文以科赫曲线与康托尔三分点集为例，讨论了有规分形维数的计算；
Regular Fractal Dimension Calculation is discussed by using Koch Curve and Cantor Ternary Set.
在自动文本分类系统中，特征选择是有效降低文本向量维数的一种方法。
Feature selection is a valid method to reduce the dimension of text vector in automatic text categorization system.
从分形原理出发，提出了非线性机械设备系统信号的分形计算维数的概念。
In the paper, fractal calculating dimension, which is based on fractal theory, is put forwards.
关联维数的最大差值与平均值之比值可以用来判断液压缸是否存在爬行现象。
The ratio of the maximum difference and the average value of correlative dimension can be used to decide whether creeping phenomenon of hydraulic cylinder exists.
关联维数的全程变化趋势可以反映液压缸运行过程中非线性弹簧的变化特征；
The varying trend of whole process can be used to reflect the varying characteristics of nonlinear spring of moving hydraulic cylinder.
提出了一种估计分形维数的新方法，并利用该方法估计自然纹理图像的分形维数。
A novel method for estimating the fractal dimension has been proposed and the method has been applied to estimate the fractal dimension in natural texture images.
土壤的质地类型、含盐量、有机质含量等是决定土壤粒径分布分形维数的主要因子。
Texture type, salt content, organic matter content, etc. are the major factors determining the fractal dimension of soil particle-size distribution.
讨论了滤波器中时间序列的短时分形盒维数的定义及分形模糊控制函数形式及选用方式。
The definition of short-time fractal box dimension and the fuzzy control function of the filter are discussed.
重整化群方法是研究相变的临界现象最有力的工具，它是一种由理论求得分形维数的方法。
Renormalization group method which calculates fractal dimension theoretically is the most useful tool when we study critical phenomena of phase transition.
分析了一阶分形模糊控制滤波器的频率-幅度特性，白噪声和有色噪声分形盒维数的变化；
The frequency-magnitude response of the fractal filter and the change of fractal box dimension of white noise and color noise are analyzed.
在平坦维数的基础上，给出了FP -平坦维数的概念，讨论了FP -平坦维数的性质。
Based on flat dimensions, this article gives the concept of FP-flat dimensions and discusses the properties of FP-flat dimensions.
分析了当前计算图像分形维数的算法普遍存在对高维数图像计算误差较大且计算量大的缺点。
The general fractal dimension algorithms of image have the disadvantage of the precision and the speed especially when applied to the high dimension images for the moment.
介绍了一种利用自相关函数来估算图像分形维数的方法，并将其应用到木材的纹理分类检测中。
This paper introduced a method availing autocorrelation functions to estimate the image fractal dimension, and the method can detect classification of the wood texture.
基于分形理论和计算机图像处理技术，编制计算材料断口形貌计盒分形维数的MATLAB程序。
Based on the fractal theory and computer images analysis technique, a MATLAB program which computes box fractal dimension of material fracture was designed.
机械系统的欠驱动特性是指系统控制输入向量空间的维数小于系统广义坐标向量空间维数的情况。
The underactuation of mechanical systems means that the dimension of the control vectors of systems is less than that of the configuration vector of systems.
支持向量机(SVM)作为一种新型的非线性建模方法，适合于处理小样本和高维数的建模问题。
Support vector machines (SVM) is a new nonlinear modeling method which is suitable for solving small samples and high dimension modeling problems.
石油焦的燃烧具有分形动力学的行为特征，且表面分形维数的变化趋势和比表面积和孔容积不同。
The fractal characteristics of petroleum coke combustion are validated, which proves that the change of surface fractal dimension differs from that of specific surface area and pore volume.
传统的统计方法不能够有效的处理如此高维数的特征向量，但是支持向量机就能够解决这一问题。
Traditional statistical method cannot deal with feature vectors with so high dimensions efficiently, but SVM (Supported vector Machine) could resolve this problem.
传统的统计方法不能够有效的处理如此高维数的特征向量，但是支持向量机就能够解决这一问题。
Traditional statistical method cannot deal with feature vectors with so high dimensions efficiently, but SVM (Supported vector Machine) could resolve this problem.
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