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分形测度
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  fractal measure
     Here,is a locally uniformly a-dimensional fractal measure on M,and dx is the volume element on M.
     此处,μ是M上局部一致α维分形测度,dx是由M上Riemann度量确定的体积元。
短句来源
     Edge Extraction of Image Texture Based on Fractal Measure
     一种基于分形测度的图像纹理边缘检测方法
短句来源
     Fractal dimension structure form of the Cosmos are explored, and the mathematical foundation, which include the expressions of fractal dimension differential and calculus, regular space integral solutions of fractal dimension differential equations, the fractal calculus definitions of fractal measure as well as the measure computational equation of self-similar fractal, of fractal dimension calculus and fractal measure are given.
     探讨了宇宙分维构造的形式,给出了分维微积分及分形测度的数学基础,包括分维导数及分维微积分的表述形式、分维微分方程的规整空间积分解、分形测度的分维微积分定义及自相似分形的测度计算方程.
短句来源
     Discuss the applications of some main embranchments of fractal theory: calculation of fractal dimension, fractal interpolation, fractal brownian motion, fractal measure, power exponent distribution, self-similarity and scaling invariance in the kinds of areas of practics, the mathematical models of these embranchments are discribed, some applications in some subjects related with it are introduced.
     讨论了分形理论中几个主要的理论分支即分形维数计算、分形插值、分数布朗运动、分形测度、幂指数分布、自相似性与标度不变性在各种实际研究领域中的应用,描述了这几个理论分支的数学模型,及在关联学科中的应用。
短句来源
     With a description of the features of image texture, a new method for edge detection based on the multiscale fractal measure is proposed by analyzing the difference between the variation of the local fractal measure of different texture features with the scale. Examples of the application of the algorithm for edge detection are given. Since the texture feature and gray feature are included in the edge detection operator, it is good in noise immunity and localized performance.
     从图像纹理特征的描述出发,通过分析不同纹理特征局部分形测度随尺度变化的差异,提出了一种新的基于分形测度的图像纹理边缘检测方法.并且给出了该算法用于边缘检测的实例.新的边缘检测算子中包含了图像的纹理特征和灰度特征,因此,它具有好的抗噪性能和局部化性能,适合于有噪背景下目标边缘的提取
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  fractal measures
     The relationship between fractal measures in Rd1, Rd2 and their product measures in Rd1+d2 has been developed by many authors.
     在R~(d_1),R~(d_2)中的分形测度和R~(d_1)+r_2中乘积测度之间的关系已经被许多作者发展。
短句来源
     Chapter 2 introduces the preliminary knowledge which include the concepts and basic characters of fractal measures and fractal dimensions.
     第二章给出了预备知识。 给出分形测度、分形维数的概念与本文要用到的性质,以及分式Brown运动的概念与基本性质。
短句来源
     Fractal dimension and multifractal singularity spectrum are very important quantitative parameters describing fractal measures.
     分形维数和多重分形奇异谱是描述分形测度的重要的定量参数;
短句来源
     Some Estimates Related to the Laplacians and Fractal Measures on Manifolds
     流形上与Laplace算子及分形测度有关的一些估计
短句来源
     thusthis enable introduction of a measure theory definition of fractal measures.
     这使得我们能够引入分形测度的测度论定义。
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  “分形测度”译为未确定词的双语例句
     Introduction on background medium theory about celestial body motion orbit and foundation of fractional-dimension calculus about self-fractal measure calculation
     天体运行轨道的背景介质理论导引与自相似分形测度计算的分维微积分基础
短句来源
     The Projection Method of Fast Decreasing Functions for Multifractal Measure and Image Singularity Analysis
     图像多重分形测度的速降函数投影方法与图像奇异性分析
短句来源
     Multifractal Measure Analysis of Solid Hold-up Fluctuation Signal in Circulating Fluidized Bed
     循环流化床颗粒浓度波动信号多重分形测度分析
短句来源
     Some Problems of Fractal V ——Calculation of Hausdorff Measures
     分形几何若干前沿问题Ⅴ——分形测度的计算
短句来源
     Based on the wavelet transform modulus maxima method, we performed multifractal measure analysis of solid hold-up fluctuation signal in CFB riser and got the multifractal singularity spectra of signals.
     为了探讨循环流化床内颗粒流体系统非线性、非均匀性和混沌特性机理,本文引入不同测度多重分形分析的方法,用小波变换模极大值与多重分形测度分析方法相结合,检测循环流化床颗粒浓度波动信号奇异性并得出多重分形奇异谱。
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  fractal measure
We study intermittency effects in high energy collisions introducing a fractal measure in rapidity space and formulationg the hadronization sector of the S-matrix within the Ginzburg-Landau approach.
      
We show that a fractal measure of crown can be used as the link between the mathematical models of crown growth and light propagation through the canopy.
      
It shows the dependence of fractal measure and fractal dimension on the amplitude of acoustic events along the axis of the tested pipe in their relation to the spatial distribution of defects in the material.
      
It is conjectured that a fractal J-integral should be the rate of potential energy release per unit of a fractal measure of crack growth.
      
Results fit the actual pattern of spread well, as measured by both visual inspection and a multiscale fractal measure of pattern.
      
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  fractal measures
Generalized thermodynamic ensembles for fractal measures
      
Fractal measures are characterized by means of suitable conservation laws which can be expressed either by introducing pointwise dimensions (local approach) or by evaluating global dynamical invariants like the dimension functionD(q).
      
The various thermodynamic ensembles are shown to be related to different covering procedures for fractal measures.
      
Non-parametric statistical estimation of the fractal measures hD max is finally applied.
      
Random recursive construction of self-similar fractal measures.
      
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Let A be the Laplace-Beltrami operator on a Riemannian manifold M. The main aim of this paper is to study the Lp-boundedness of the map (I-t)-β,Lp(M,d)→Lp(M,dx). In particular, the author gives a new generalization of Wiener's theorem. Here,is a locally uniformly a-dimensional fractal measure on M,and dx is the volume element on M.

设Δ是Riemann流形M上的Laplace-Beltrami算子。本文主要研究映照(I—tΔ)~(-β):L~p(M,dμ)→L~p(M,dx)的L~p有界性,特别获得了Wiener定理的一种新推广。此处,μ是M上局部一致α维分形测度,dx是由M上Riemann度量确定的体积元。

In this paper,we give a new approach to construct the solutions of joint-multifractal measures from the thermodynamical formalism of multifractal. Furthermore,we give the dimensions of it.

文中在证明三个联合集分形测度维数的基础上,通过一个假设,证明了连接复分形集的维数.同时,利用复分形的热力学形式来处理连接复分形测度

The obiect of this note is to establish two propositions on de-termining the Hausdorff dimension dim and the packing dimension Dim inR ̄d(Theorem 1 and Theorem 2),and further seek the conditions that the Hausdorffdimension dim is equal to the pachng dimension Dim in R ̄d(Theorem 3);thusthis enable introduction of a measure theory definition of fractal measures.

本文目的在于建立确定R ̄d中Hausdorff维数dim和packing维数Dim的两个命题(定理1和定理2),进而寻求R ̄d中Hausdorff维数dim与packing维数Dim相等的条件;这使得我们能够引入分形测度的测度论定义。

 
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