分维数,fractal dimension
1)fractal dimension分维数
1.Microscopic image analysis of NRF on the neurite growth of rat DRGs based onfractal dimension;基于分维数的NRF促大鼠DRGs神经突起生长显微图像分析
2.The research indicates that thefractal dimension can be a parameter of the quantitative analysis, and quantificationally estimate the complicacy of dilapidation.研究分析表明:分维数可以作为定量分析的一个参数,也可以定量地评价破损的复杂性。
2)fractal dimensions分维数
1.Using photography measure technology can achieve basic data which is utilized to calculatefractal dimensions in fractal model of distribution of pit pile抯 fragmentation .采用摄影测量的方法去获得求算爆堆块度分布分形模型中分维数的基础数据,即解决了摄影测量分析系统的“小块漏失”现象,又为分形测试系统的推广应用奠定了基础。
2.the gallstone growth process was studied theoretically and quantitatively With computer pattern treatment and theoretical calculation offractal dimensions.经过图象处理，测量了各种分形图案的分维数，从而通过计算对胆结石的形成过程予以一些定量的探
3.The simulation example of SMA-13 shows that real road surface texture has the nearly samefractal dimensions with corresponding FIF curve and the application of FIF method in erose curve simulation is feasible.通过对分形插值函数构成算法和纵向压缩因子取值方法的研究,给出了基于分形插值函数的路断面构造模拟方法和MATLAB语言编制的模拟流程图;对SMA-13马歇尔试件断面构造的拟合分析表明,实际路面断面构造和分形插值曲线在精度范围内具有一致的分维数,说明分形插值方法对路面断面构造等不规则曲线的拟合具有良好的适用性。
3)fractional dimension number分维数
1.By compared with standard Brownian motion, thefractional dimension number of path of practical liquid molecular motion is analyzed theoretically on the basis of fractal theory.运用分子动力学模拟方法,模拟了84K恒温液氩系统中分子的运动过程,统计了不同空间观测尺度及时间观测尺度下分子运动轨迹的分维数。
2.The thickness andfractional dimension number of the liquid-vapor interface are simulated by selecting Argon as working substance and using Lennard-Jones potential in the rectangle simulation box under the condition of 2048 simulated particles in the NVT canonical.本文应用分子动力学模拟方法进行了汽液界面厚度和分维数的模拟研究。
3.Based on fractal theory, the density, the temperature, the pressure tensor, the local surface tension andfractional dimension number of liquid-vapor interface at equilibrium are obtained by the help of molecular dynamics simulation.本文在分形理论基础上,采用分子动力学模拟方法研究了在平衡状态下的汽液界面参数,得了界面区内的密度、 温度、压力张量、表面张力和分维数的分布。
4)fractional dimension分维数
1.The approximatefractional dimension of Fujian Province′s coastline is evaluated and then used to design a fractal simulation system of the coastline on the basis of quasi-koch generating element.运用分形几何的概念，计算了福建省海岸线的近似分维数。
5)Fractal dimension分数维数
1.This paper demonstrates that when the quantity of observed data is large enough, the fractal dimension of nonlinear dynamical system with unique compact attractor can be estimated by its univariate observed time series y 1(t) or by its multivariate observed time series ( y 1(t),…,y p(t)), and the estimated results are approximately equal.首先说明当观测数据量充分大时，来自于同一具有唯一紧吸引子的非线性动态系统的一维观测数据ｙ１（ｔ）或多维观测数据（ｙ１（ｔ），…，ｙｐ（ｔ））都可以用来构造对该系统分数维数的估计，且两种方法的估计结果是一致的。
2.And fractal dimension is the key to understand the theory of fractal.分形理论是全球科学家们的研究热点之一 ,在 2 0世纪的数学宝库中 ,分形理论以分形几何的角色出现 ,而分数维数是分形几何学在几何学中的新突破。
3.In this paper it is proved that the fractal dimension estimate of nonlinear dynamical system with its multivariate observation series is the same as that with its univariate observation series.首先说明利用非线性动态系统的多维观测数据和一维观测数据对系统分数维数进行估计的一致性，然后基于这一思想，给出了一种推断两列观测数据是否来自同一非线性动态系统的方法，并引入了非线性相关度的概念，以度量两列数据的非线性相关程度。
6)fractal dimension分形维数
1.Study on dosage control by flocsfractal dimension;絮凝体分形维数投药控制研究
2.Determination offractal dimensions of silicon dioxide xerogel by means of gas-adsorption;气体吸附法测定二氧化硅干凝胶的分形维数
3.Study offractal dimension and its effect on specific heat capacity of coal or chars;煤焦分形维数及其对比热容的影响研究
英文短句/例句
putation of Fractal Dimension for Digital Image in a 3-D Space三维空间数字图像的分形维数计算方法
2.Analysis on Fractal Dimensions of Liquid Front During Explosion Dispersion爆炸分散液体前锋形态的分形维数分析
3.Fractal dimension and the using in image blocks classification;分形维数及其在图象块分类中的应用
4.A Study on the Fractal Theory and the Real-time Computing of the Fractal Dimension of Images分形理论及图像分形维数实时计算的研究
5.Fat fractal percolation model of porous media and its scaling rule多孔介质的胖分形渗流模型及其分形维数
6.Study on fractal properties of a river bed and the calculation method of its fractal dimension河床表面分形特征及其分形维数计算方法
7.Image Coding Based on Fractal Dimension and Wavelet基于分形维数和小波的快速分形图像编码
8.Multifractal dimension and multifractal spectrum algorithm based on Z-ordering technique基于Z-ordering的多重分形维数及多重分形谱算法
9.Fractional Dimension and Computer Simulation of Koch Curve;Koch曲线的分形维数及计算机模拟
10.Signal Feature Extraction Base on Factral dimensions of Time-Frequency Domain基于时频域分形维数的信号特征提取
11.Fault Diagnosis of a Bearing Based on Chaos and Fractal Theory某型滚动轴承故障与分形维数的确立
12.A Detection Algorithm Based on Local Fractal Dimension基于局部分形维数的多目标检测算法
13.Image Identification of Corn and Weed Based on Fractal Dimension基于分形维数的玉米和杂草图像识别
14.Mathematical Basis of the Fractal-dimension and Empirical Analysis of the Chaos and Fractal to Shanghai Stock Market;分形维数的数学基础及对上海股票市场混沌、分形特性的实证分析
15.The fractal dimension of urban form:theoretical approach and practical significance;城市形态的分形维数:理论探讨与实践教益
16.Research on the Properties of boundary outline of Sand and Crushed Stone by Using Fractal Dimension用分形维数表征砂石的轮廓形状特性的研究
17.Quantitative Characterization for Surface Morphology of Interfacial Transition Zone (ITZ) in Concrete by Fractal Dimension混凝土界面过渡区表面形貌的分形维数表征
18.MORPHOLOGY OF FRACTAL DIMENSION UNDER THE CONDITIONS OF DIFFERENT ZINC SILICATE CRYSTALLIZATION不同条件下硅酸锌结晶形貌的分形维数
相关短句/例句
fractal dimensions分维数
1.Using photography measure technology can achieve basic data which is utilized to calculatefractal dimensions in fractal model of distribution of pit pile抯 fragmentation .采用摄影测量的方法去获得求算爆堆块度分布分形模型中分维数的基础数据,即解决了摄影测量分析系统的“小块漏失”现象,又为分形测试系统的推广应用奠定了基础。
2.the gallstone growth process was studied theoretically and quantitatively With computer pattern treatment and theoretical calculation offractal dimensions.经过图象处理，测量了各种分形图案的分维数，从而通过计算对胆结石的形成过程予以一些定量的探
3.The simulation example of SMA-13 shows that real road surface texture has the nearly samefractal dimensions with corresponding FIF curve and the application of FIF method in erose curve simulation is feasible.通过对分形插值函数构成算法和纵向压缩因子取值方法的研究,给出了基于分形插值函数的路断面构造模拟方法和MATLAB语言编制的模拟流程图;对SMA-13马歇尔试件断面构造的拟合分析表明,实际路面断面构造和分形插值曲线在精度范围内具有一致的分维数,说明分形插值方法对路面断面构造等不规则曲线的拟合具有良好的适用性。
3)fractional dimension number分维数
1.By compared with standard Brownian motion, thefractional dimension number of path of practical liquid molecular motion is analyzed theoretically on the basis of fractal theory.运用分子动力学模拟方法,模拟了84K恒温液氩系统中分子的运动过程,统计了不同空间观测尺度及时间观测尺度下分子运动轨迹的分维数。
2.The thickness andfractional dimension number of the liquid-vapor interface are simulated by selecting Argon as working substance and using Lennard-Jones potential in the rectangle simulation box under the condition of 2048 simulated particles in the NVT canonical.本文应用分子动力学模拟方法进行了汽液界面厚度和分维数的模拟研究。
3.Based on fractal theory, the density, the temperature, the pressure tensor, the local surface tension andfractional dimension number of liquid-vapor interface at equilibrium are obtained by the help of molecular dynamics simulation.本文在分形理论基础上,采用分子动力学模拟方法研究了在平衡状态下的汽液界面参数,得了界面区内的密度、 温度、压力张量、表面张力和分维数的分布。
4)fractional dimension分维数
1.The approximatefractional dimension of Fujian Province′s coastline is evaluated and then used to design a fractal simulation system of the coastline on the basis of quasi-koch generating element.运用分形几何的概念，计算了福建省海岸线的近似分维数。
5)Fractal dimension分数维数
1.This paper demonstrates that when the quantity of observed data is large enough, the fractal dimension of nonlinear dynamical system with unique compact attractor can be estimated by its univariate observed time series y 1(t) or by its multivariate observed time series ( y 1(t),…,y p(t)), and the estimated results are approximately equal.首先说明当观测数据量充分大时，来自于同一具有唯一紧吸引子的非线性动态系统的一维观测数据ｙ１（ｔ）或多维观测数据（ｙ１（ｔ），…，ｙｐ（ｔ））都可以用来构造对该系统分数维数的估计，且两种方法的估计结果是一致的。
2.And fractal dimension is the key to understand the theory of fractal.分形理论是全球科学家们的研究热点之一 ,在 2 0世纪的数学宝库中 ,分形理论以分形几何的角色出现 ,而分数维数是分形几何学在几何学中的新突破。
3.In this paper it is proved that the fractal dimension estimate of nonlinear dynamical system with its multivariate observation series is the same as that with its univariate observation series.首先说明利用非线性动态系统的多维观测数据和一维观测数据对系统分数维数进行估计的一致性，然后基于这一思想，给出了一种推断两列观测数据是否来自同一非线性动态系统的方法，并引入了非线性相关度的概念，以度量两列数据的非线性相关程度。
6)fractal dimension分形维数
1.Study on dosage control by flocsfractal dimension;絮凝体分形维数投药控制研究
2.Determination offractal dimensions of silicon dioxide xerogel by means of gas-adsorption;气体吸附法测定二氧化硅干凝胶的分形维数
3.Study offractal dimension and its effect on specific heat capacity of coal or chars;煤焦分形维数及其对比热容的影响研究
延伸阅读
度量维数度量维数metric dimension度t维数[翻州的c遨m曰‘阅;Me，11，ec~pa3MepHOcT‘]紧集的数值特征，借助于“标准测度”的覆盖来定义，覆盖的个数也就确定了度量维数.设F是紧集，N;(的是覆盖F所需的、直径不超过“的集合的最少个数.这个函数依赖于F中的度量，对所有。>0取整数值，并且随着。~O无限增大，它称为F的体积函数(粕lu任哈允比沈沁n).数、一*「一些丝丛丝1一Lhi“J称为紧集F的度量阶(l拙川c older).这个量还不是拓扑不变量.例如，具有Euclid度量的一条Jordan曲线(见线(曲线)(如e(~)))的度量阶数等于、1，而通过R”中一个具有正测度的全不连通的完满集的Jo代场n曲线，其度量阶数等于n.不过，就F上所有的度量而言，度量阶数的下确界(称为度量维数n犯t行c din℃nsion))等于1月比卿犯维数(玫b留guedi-服nsion)(noH’T匹二一川班甲e~aH定理(Pon让姆gin-Shnilel’rnan tllco~)，1931，见11])·【补注】度量维数对非紧的可分可度量化空间也有意义(利用全有界度量)，而no盯钾r皿~nL队pe~H定理也可以推广至这些空间上.这是由E .SZP刃Iajn一Mar-‘里挑拓证明的.见【A2].还有另外一些依赖于度量的维数函数.H翻改如心维数(HausdO叮曲拙朋ion)是一个例子.另一个例子是修改覆盖维数djm(见维数(din祀n.sion))的定义而得.如果(X，d)是度量空间，定义料山nl(X，d)如下:召dim(X，d)簇n，当且仅当对每个。>0，存在X的一个开覆盖U，使得~hU<￡而ordU蕊。+1.这里二hU=s叩{djalll(U):U任U}，。已u(n十1意指X的任何一点都至多属于U中(”+1)个集合.可以证明拜d如(X，d)成djlllx(2拼d」m(X，d)，这个不等式是不可改进的，见「AI].
