fractal dimension

fractal dimension的基本解释

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分维

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分形维数

与fractal dimension相关的网络例句 [注：此内容来源于网络，仅供参考]

Fractal dimension structure 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.

摘 要：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。

The results show that the radiative properties of randomly distributed soot aggregates for a given fractal dimension are complex functions of the monomer diameters, the number of monomers in the aggregates,and the refractive index; For a small value of the monomer diameters, the absorption cross section of soot aggregates tends to be relatively constant when the fractal dimension is small but increases rapidly when the fractal dimension exceeds two. However, a monotonical reduction in light absorption with the increase of the fractal dimension is observed for soot aggregates with sufficiently large monomer diameters, number of monomers,and refractive index. The scattering cross section , extinction cross section and single-scattering albedo increase monotonically with the increase of the fractal dimension. Overall, the results for soot aggregates differ profoundly from those calculated for the equivalent spherical particles, and the discrepancies between them will change small with the increase of the fractal dimension.

研究表明，在给定分形维数的情况下，烟尘団簇粒子的辐射特性取决于原始微粒粒径、数量及复折射率；原始微粒较小的団簇粒子，当分形维数较小时，吸收截面变化不明显，但当分形维数大于二时，吸收截面骤然增大，然而，对于具有比较大的原始微粒粒径、数量及复折射率的烟尘団簇粒子，吸收截面随着分形维数的增大而单调递减；随着分形维数的增大，団簇粒子的散射截面、消光截面及单次散射反照率均单调递增；从整体上来讲，団簇粒子的辐射特性与等效球形粒子的辐射特性存在着比较大的差别，并且这种差别随着分形维数的增大而减小。

The desulfurization experiments of CaO samples with various fractal dimensionswere carried out in the TGA to investigate the influences of fractality on the sulfationreaction, and the evolution of pore structures during the reaction. Under certainsulfation conditions, the calcium conversions of the CaO samples increase with theincrease in fractal dimension when fractal dimension is less than 2.68, and decreaseswhen it is more than 2.68. In the range of the experiment temperatures, the calciumconversion for a sample with a lower fractal dimension increases with the increase inthe temperature, and for a sample with a higher fractal dimension there exist anoptimum temperature at which the sample can reach the highest calcium conversion.

选用具有不同分形结构的CaO试样进行了硫化实验，研究孔结构的分形特性对硫化反应的影响以及硫化过程中分形孔结构的变化特性，实验结果表明，在一定的分形维数范围内，随着分形维数的增加，钙利用率增大，但分形维数超过一定值时(约为2.680)，钙利用率反而降低。

与fractal dimension相关的网络解释 [注：此内容来源于网络，仅供参考]

fractal dimension：分形维数

109 中国战略环境评价(SEA)研究进展及发展趋势 蔡春苗 环境科学与管理 2009/01252 卡氏地蛛(Atypus karschi doenitz 1887)和老狡蛛(Dolmades senilis)血细胞形态学参数研究 马德滨 黑龙江科技信息 2008/15701 分形维数(Fractal dimension)及其测量方法 孙博

fractal dimension：分数维

还是数学的推理都是不能允许的".看来即是独立坐标数和维数必是整数的假设是站不住脚的.况且近年来兴起的分形理论又迫使我们接触到分数维(Fractal dimension)的概念,这不得不使我们重新思考维数的性质及其所具有的意义.从集合论的角度看,

fractal dimension：分维

是非线性科学的重要组成部分.不同于传统的欧氏几何以零维、一维、二维、三维、四维对应的点、线、面、体和时空来描述物体的形状,分形理论用"分维"(fractal dimension)来描述大自然.事实上任何物体的微观平面都是凹凸不平的,

fractal dimension：分维数

分形几何学在生态学中的应用主要体现在分维数(Fractal Dimension)分析方法上,即通过分维数来研究自然界中的物体和空间格局特征. 分维理论目前已经发展了各种维数,如相似性维数(Similaritydimension)、Hausdoff维数、信息维数(information dimension)等.

mesh fractal dimension：网格分维

网格优化:mesh optimization | 网格分维:mesh fractal dimension | 四叉树网格:Quadtree mesh