self-similarity

self-similarity
The property of being self-similar, of having parts that resemble the whole, as a fractal has.

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  • Self-similarity — NOTOC [ thumb|right|250px|A Koch curve has an infinitely repeating self similarity when it is magnified.] 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… …   Wikipedia

  • self-similarity — noun Date: 1967 the quality or state of having an appearance that is invariant upon being scaled larger or smaller < magnify the fractal and you can see the self similarity of its edge > • self similar adjective …   New Collegiate Dictionary

  • How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension — is a paper by mathematician Benoît Mandelbrot, first published in Science in 1967. In this paper Mandelbrot discusses self similar curves that have Hausdorff dimension between 1 and 2. These curves are examples of fractals , although Mandelbrot… …   Wikipedia

  • Similarity (geometry) — Geometry = Two geometrical objects are called similar if one is congruent to the result of a uniform scaling (enlarging or shrinking) of the other. One can be obtained from the other by uniformly stretching , possibly with additional rotation,… …   Wikipedia

  • self-similar — adjective Having self similarity; having parts that resemble the whole, as a fractal has. See Also: self similarity …   Wiktionary

  • Self-affinity — In mathematics, self affinity refers to a fractal whose pieces are scaled by different amounts in the x and y directions.This means that in order to appreciate the self similarity of these fractal objects, they have to be rescaled using an… …   Wikipedia

  • self-similar — adjective see self similarity …   New Collegiate Dictionary

  • Self (philosophy) — Self is broadly defined as the essential qualities that make a person distinct from all others. The task in philosophy is defining what these qualities are, and there have been a number of different approaches. The self is the idea of a unified… …   Wikipedia

  • Self brand — Formation of self brand connections=Definition of self brandWithin the long history of consumer research, there has been a constant interest to the study how consumers choose which brand to buy and why they are repeated purchasing certain kinds… …   Wikipedia

  • Similarity — (Roget s Thesaurus) < N PARAG:Similarity >N GRP: N 1 Sgm: N 1 similarity similarity resemblance likeness similitude semblance Sgm: N 1 affinity affinity approximation parallelism Sgm: N 1 agreement agreement &c. 23 …   English dictionary for students

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