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Singularity spectrum : ウィキペディア英語版
Singularity spectrum

The singularity spectrum is a function used in Multifractal analysis to describe the fractal dimension of a subset of points of a function belonging to a group of points that have the same Holder exponent. Intuitively, the singularity spectrum gives a value for how "fractal" a set of points are in a function.
More formally, the singularity spectrum D(\alpha) of a function, f(x), is defined as:
:D(\alpha) = D_F\
Where \alpha(x) is the function describing the Holder exponent, \alpha(x) of f(x) at the point x. D_F\ is the Hausdorff dimension of a point set.
==See also==

* Multifractal analysis
* Holder exponent
* Hausdorff dimension
* Fractal
* Fractional Brownian motion

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Singularity spectrum」の詳細全文を読む



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