Self-similarity
In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts). Many objects in the real world, such as coastlines, are statistically self-similar: parts of them show the same statistical properties at many scales. Self-similarity is a typical property of fractals. Scale invariance is an exact form of self-similarity where at any magnification there is a smaller piece of the object that is similar to the whole. For instance, a side of the Koch snowflake is both symmetrical and scale-invariant; it can be continually magnified 3x without changing shape. The non-trivial similarity evident in fractals is distinguished by their fine structure, or detail on arbitrarily small scales. As a counterexampl
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Self-similarity
In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts). Many objects in the real world, such as coastlines, are statistically self-similar: parts of them show the same statistical properties at many scales. Self-similarity is a typical property of fractals. Scale invariance is an exact form of self-similarity where at any magnification there is a smaller piece of the object that is similar to the whole. For instance, a side of the Koch snowflake is both symmetrical and scale-invariant; it can be continually magnified 3x without changing shape. The non-trivial similarity evident in fractals is distinguished by their fine structure, or detail on arbitrarily small scales. As a counterexampl
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Em matemática, um objeto autos ...... opriedade típica dos fractais.
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En Matemática, la autosimilitu ...... na propiedad de los fractales.
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En mängd sägs vara självliknan ...... en skalade med en viss faktor.
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In de fractale meetkunde, een ...... erlijke longblaasjes aankomen.
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In matematica, un oggetto auto ...... attore 3 senza cambiare forma.
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In mathematics, a self-similar ...... by Benoit Mandelbrot in 1964.
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L'autosimilarité est le caract ...... ervant à différentes échelles.
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Samopodobieństwo – właściwość ...... nie nie zmienia jego kształtu.
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Soběpodobnost neboli škálová i ...... lmi často vyskytuje v přírodě.
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Самоподобный объект — объект, ...... фигуры, подобная целой фигуре.
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Em matemática, um objeto autos ...... opriedade típica dos fractais.
@pt
En Matemática, la autosimilitu ...... na propiedad de los fractales.
@es
En mängd sägs vara självliknan ...... en skalade med en viss faktor.
@sv
In de fractale meetkunde, een ...... ende eigenschap van fractalen.
@nl
In matematica, un oggetto auto ...... proprietà tipica dei frattali.
@it
In mathematics, a self-similar ...... all scales. As a counterexampl
@en
L'autosimilarité est le caract ...... ervant à différentes échelles.
@fr
Samopodobieństwo – właściwość ...... st typową własnością fraktali.
@pl
Soběpodobnost neboli škálová i ...... lmi často vyskytuje v přírodě.
@cs
Самоподобный объект — объект, ...... фигуры, подобная целой фигуре.
@ru
label
Auto similarità
@it
Autosimilarité
@fr
Autosimilitud
@es
Autossimilaridade
@pt
Samopodobieństwo
@pl
Selbstähnlichkeit
@de
Self-similarity
@en
Självliknande
@sv
Soběpodobnost
@cs
Zelfgelijkvormigheid
@nl