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fractal    音标拼音: [fr'æktəl]
分数维几何,分形

分数维几何,分形

fractal
n 1: (mathematics) a geometric pattern that is repeated at every
scale and so cannot be represented by classical geometry

A fractal is a rough or fragmented
geometric shape that can be subdivided in parts, each of which
is (at least approximately) a smaller copy of the whole.
Fractals are generally self-similar (bits look like the whole)
and independent of scale (they look similar, no matter how
close you zoom in).

Many mathematical structures are fractals; e.g. {Sierpinski
triangle}, {Koch snowflake}, {Peano curve}, {Mandelbrot set}
and {Lorenz attractor}. Fractals also describe many
real-world objects that do not have simple geometric shapes,
such as clouds, mountains, turbulence, and coastlines.

{Benoit Mandelbrot}, the discoverer of the {Mandelbrot set},
coined the term "fractal" in 1975 from the Latin fractus or
"to break". He defines a fractal as a set for which the
{Hausdorff Besicovich dimension} strictly exceeds the
{topological dimension}. However, he is not satisfied with
this definition as it excludes sets one would consider
fractals.

{sci.fractals FAQ
(ftp://src.doc.ic.ac.uk/usenet/usenet-by-group/sci.fractals/)}.

See also {fractal compression}, {fractal dimension}, {Iterated
Function System}.

{Usenet} newsgroups: {news:sci.fractals},
{news:alt.binaries.pictures.fractals}, {news:comp.graphics}.

["The Fractal Geometry of Nature", Benoit Mandelbrot].

[Are there non-self-similar fractals?]

(1997-07-02)


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  • Affect vs. Effect: How to Pick the Right One | Merriam-Webster
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  • Affect or effect ? - Grammar - Cambridge Dictionary
    Affect is a verb meaning ‘influence or cause someone or something to change’: The cold weather has really affected her health New technologies continue to affect how we live Effect is a noun that means ‘the result of an influence’: The pollution in the city had a bad effect on me
  • Affect or Effect? - Grammar Monster
    Do you confuse affect and effect? Affect means to change It is a verb Effect means result It is a noun In other words, you affect (change) something to create an effect (result) Effect is usually preceded by 'the' or 'an '
  • How to Use Effect vs Affect — The Difference - BeLikeNative
    Affect is usually a verb meaning to influence or have an impact on something — the weather affects your mood Effect is usually a noun meaning the result or outcome of a change — the effect of the medication was immediate The key difference: affect is the action (the influencing), and effect is the result (what happened because of it) This is the single most commonly confused word pair





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