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单词 multifractal
释义

multifractaladj.n.

Brit. /ˌmʌltɪˈfraktl/, U.S. /ˌməltiˈfrækt(ə)l/; see also multi- comb. form.
Origin: Formed within English, by compounding. Etymons: multi- comb. form, fractal n.
Etymology: < multi- comb. form + fractal n.
Mathematics.
A. adj.
Relating to or consisting of many fractals; describable in terms of a number of fractals.
ΚΠ
1984 Jrnl. Physics A 17 3522 These are some indications that multifractal sets are indeed necessary to describe the properties of structure functions in turbulent flows.
1990 New Scientist 15 Sept. 42/1 The pattern is not itself a fractal set, but a novel combination of a multitude of fractal sets. It is called a multifractal distribution, or multifractal measure.
1996 Nature 25 July 312/2 To achieve agreement..it is necessary to adopt a ‘multifractal’ rather than a simple fractal viewpoint, involving a continuum of coexisting fractal dimensions.
B. n.
An object, process, or phenomenon that can be described in terms of a number of fractals.
ΚΠ
1985 U. Frisch & G. Parisi in Proc. Internat. School Physics Enrico Fermi 88 85 Mandelbrot..and others..have considered models with singularities concentrated on a set ⊂R3 having noninteger (fractal) Hausdorff dimension. We shall here show that the data suggest the existence of a hierarchy of such sets (a ‘multifractal’).
1988 Nature 29 Sept. 409/1 Just as completely random phenomena in nature may generate shapes that are fractal, phenomena with spatial correlations are sometimes multifractals.
1989 I. Stewart Does God play Dice? xi. 229 It [sc. the universe] appears to be a ‘multi fractal’, having detailed but not self-similar structure on many scales.
1999 Sci. Amer. Feb. 53/1 Multifractals describe accurately the relation between the shape of the generator and the patterns of up-and-down swings of prices to be found on charts of real market data.
This is a new entry (OED Third Edition, March 2003; most recently modified version published online March 2022).
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adj.n.1984
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