pnictidesGibbs energyhybridizationNo abstract is available for this article.doi:10.1111/j.1749-6632.1979.tb29489.xBenoit B. MandelbrotIBM Research Yorktown Heights, New York 10598John Wiley & Sons, Ltd.Annals of the New York Academy of Sciences...
Fractal Geometry is an important area of Mathematics in order to describe sets that were too irregular and intricate to fit into the classical geometric setting. In this area, Fractal Dimension, Fractal Functions, and Fractal Measures have been major con
FRACTALS is an interdisciplinary journal on complex geometry, patterns and scaling. Covers recent developments in complex spatial and temporal behaviors in both nature and society.
The concepts of fractal and fractal dimension are defined and their history and development described. The common methods of measuring the fractal dimension of cartographic lines are described, as are their pros and cons. Past research into the application of fractal theory to the cartographic line ...
Fractals are the geometric objects that are constructed by repeating geometric patterns at a smaller and smaller scale. Development of the fractal theory and its financial applications has been greatly influenced by Mandelbrot. Self-similarity is the best defining property of fractals. This property ...
We have discovered a new fractal pattern, coffee exhibits on a horizontal surface, with a fractal dimension $1.88 \\pm 0.06$, when a heavy coffee droplet interacts with the surface of lighter milk. Parts of coffee pattern on the surface disappear due to Rayleigh-Taylor instability, and the ...
There is a general agreement that galaxy structures exhibit fractal properties, at least up to some small scale. However the presence of an eventual crossover towards homogenization, as well as the exact value of the fractal dimension, are still a matter of debate. I summarize the main points...
Each neighborhood meets the Sierpinski triangle in a finite set of points. 14.7 Fractal Dimension 分形维度(fractal dimension,有时称为相似维数,similarity dimension)提供了一个更敏感的维度概念。并不是所有的集合都有定义良好的分形维度:我们将只考虑那些定义良好的集合,即那些仿射自相似的集合。
美[ˈfrækt(ə)l] 英['frækt(ə)l] n.分形 网络碎形;分形指标;分形学 复数:fractals 英英 网络释义 n. 1. ashapethatcanberepeatedlydividedintopartsthataresmallercopiesoftheoriginalshape
JuliaSet:유계인점과그렇지않은것의경계 Fractaldimension FractaldimensionD(intheEuclideanline)Dln(Nn1/Nn)ln(rn/rn1)Da ln1ln 0 Db lnln 22 1 Dc ln2ln3 0.6309Dd ln30.6826ln5 Fractaldimension FractaldimensionD(fortheSquare)D0D0.6309D1D1.8928D2 Fractaldimension ...