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See all on WikipediaSelf-similarity - Wikipedia
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 … See more
In mathematics, self-affinity is a feature of a fractal whose pieces are scaled by different amounts in the x- and y-directions. This means that to appreciate the self similarity of these fractal objects, … See more
A compact topological space X is self-similar if there exists a finite set S indexing a set of non-surjective homeomorphisms $${\displaystyle \{f_{s}:s\in S\}}$$ for which See more
The Mandelbrot set is also self-similar around Misiurewicz points.
Self-similarity has important consequences for the design of computer networks, as typical network traffic has self-similar properties. For example, in teletraffic engineering See more• "Copperplate Chevrons" — a self-similar fractal zoom movie
• "Self-Similarity" — New articles about Self-Similarity. Waltz Algorithm
Self-affinity
• Mandelbrot, … See moreWikipedia text under CC-BY-SA license Self-similar solution - Wikipedia
In the study of partial differential equations, particularly in fluid dynamics, a self-similar solution is a form of solution which is similar to itself if the independent and dependent variables are appropriately scaled. Self-similar solutions appear whenever the problem lacks a characteristic length or time scale (for example, the Blasius boundary layer of an infinite plate, but not of a finite-length plate). These include, for example, the Blasius boundary layer or the Sedov–Taylor shell.
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Self-similarity - Simple English Wikipedia, the free encyclopedia
Something is self-similar if it is similar (or very close) to a part of itself. [1] For example, the Mandelbrot set is self-similar as it contains an infinite number of almost exact copies of itself.
Self-similar process - Wikipedia
A self-similar phenomenon behaves the same when viewed at different degrees of magnification, or different scales on a dimension (space or time). Self-similar processes can sometimes be …
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Self-similarity - Wikipedia, the free encyclopedia
Jan 22, 2009 · 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 …
Self-similarity: Properties and Applications - Sera Markoff
Mar 28, 2021 · In mathematics, self-similarity describes the property of an object if a part of it resembles the whole object. In the aforementioned nursery rhyme, the story the old monk tells is the same as the rhyme itself.
Self-similarity - WikiMili, The Best Wikipedia Reader
Sep 16, 2023 · This exhibition of similar patterns at increasingly smaller scales is called self-similarity, also known as expanding symmetry or unfolding symmetry; if this replication is …
Self-similarity | geometry | Britannica
A self-similar object is one whose component parts resemble the whole. This reiteration of details or patterns occurs at progressively smaller scales and can, in the case of purely …
What is the difference between scale invariance and self-similarity?
A self-similar transformation like the one producing the Cantor set or the Sierpinski triangle proceeds by discrete stages. The fractal which is the limit when the number of stages N tends …
Self-similarity - Wikiwand / articles
Self-similarity. Whole of an object being mathematically similar to part of itselfFrom Wikipedia, the free encyclopedia. In mathematics, a self-similarobject is exactly or approximately similarto …
Similarity (geometry) - Wikipedia
Self-similarity means that a pattern is non-trivially similar to itself, e.g., the set {..., 0.5, 0.75, 1, 1.5, 2, 3, 4, 6, 8, 12, ...} of numbers of the form {2i, 3·2i} where i ranges over all integers.
Is there any mathematical proof of fractal self-similarity?
Jul 6, 2017 · From Wikipedia: 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).
What is Scale invariance? - Physics Stack Exchange
Scale invariance can be thought of as ' self-similarity '. What this really means is that regardless of how much you zoom into or out of an object (be it a function, or a physical object, or the like) …
Self-similarity Definition & Meaning - Merriam-Webster
The meaning of SELF-SIMILARITY is the quality or state of having an appearance that is invariant upon being scaled larger or smaller. How to use self-similarity in a sentence.
On the Self-similarity of Wikipedia Talks: a Combined Discourse ...
Jan 1, 2018 · According to these findings, we distinguish two sorts of self-similarity of Wikipedia's discussion space: horizontally, regarding thematically demarcated subparts of this …
Scale invariance - Wikipedia
A closely related concept is self-similarity, where a function or curve is invariant under a discrete subset of the dilations. It is also possible for the probability distributions of random processes …
self-similarity - Wiktionary, the free dictionary
self - similarity ( countable and uncountable, plural self-similarities) The property of being self-similar, of having parts that resemble the whole, as a fractal has.
Category:Self-similarity - Wikimedia Commons
Category. : Self-similarity. From Wikimedia Commons, the free media repository. self-similarity. property of an object in which the whole is exact or roughly similar to a part of itself. image. …
自己相似 - Wikipedia
自己相似 （じこそうじ、 英: self-similar ）とは何らかの意味で、全体と部分とが 相似 （ 再帰 ）であることをさす言葉である。 すべてのスケールにおいて自己相似となる図形は、 ス …
Self-similarity matrix - Wikipedia
In data analysis, the self-similarity matrix is a graphical representation of similar sequences in a data series. Similarity can be explained by different measures, like spatial distance ( distance …
Self-similarity — Wikipedia Republished // WIKI 2
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 …
On the Self-similarity of Wikipedia Talks: a Combined Discourse ...
According to these findings, we distinguish two sorts of self-similarity of Wikipedia’s discussion space: horizontally, regarding thematically demarcated subparts of this space, and vertically …
Self-Similarity of Network Data Analysis - Wikipedia
A self-similar process is one way of modeling network data dynamics with such a long range correlation. This article defines and describes network data transfer dynamics in the context of …
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