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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 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.
Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 5 mins
Self-similarity - Simple English Wikipedia, the free encyclopedia
WEBSomething 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 …
Self-similar process - Wikipedia
WEBA 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 …
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自相似 - 维基百科，自由的百科全书
WEB數學分支分形幾何中，如果一個物體自我相似（Self-similarity），表示它和它本身的一部分完全或是幾乎相似。若說一個曲線自我相似，即每部分的曲線有一小塊和它相似。 …
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Self-similarity - Wikipedia, the free encyclopedia
WEBJan 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 …
Self-similarity | geometry | Britannica
WEBA 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 …
What is the difference between scale invariance and self-similarity?
WEBA 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 …
self-similarity - Wiktionary, the free dictionary
WEBself-similarity (countable and uncountable, plural self-similarities) The property of being self-similar, of having parts that resemble the whole, as a fractal has.
Similarity (geometry) - Wikipedia
WEBSelf-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 {2 i, 3·2 i} where i ranges over all integers.
Self-similarity - WikiMili, The Best Wikipedia Reader
WEBSep 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 …
Is there any mathematical proof of fractal self-similarity?
WEBJul 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 …
自己相似 - Wikipedia
WEB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 …
Self-similarity - Wikipedia @ WordDisk
WEBIn 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 Definition & Meaning - Merriam-Webster
WEBThe 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.
What is Scale invariance? - Physics Stack Exchange
WEBScale 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 …
Scale invariance - Wikipedia
WEBA 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 …
On the Self-similarity of Wikipedia Talks: a Combined Discourse ...
WEBJan 1, 2018 · According to these findings, we distinguish two sorts of self-similarity of Wikipedia's discussion space: horizontally, regarding thematically demarcated subparts …
Category:Self-similarity - Wikimedia Commons
WEBCategory. : 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 …
Self-similarity matrix - Wikipedia
WEBIn 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 …
On the Self-similarity of Wikipedia Talks: a Combined Discourse ...
WEBAccording to these findings, we distinguish two sorts of self-similarity of Wikipedia’s discussion space: horizontally, regarding thematically demarcated subparts of this …
What does self-similarity mean? - Definitions.net
WEBIn mathematics, a self-similar object is exactly or approximately similar to a part of itself. Many objects in the real world, such as coastlines, are statistically self-similar: …
Self-Similarity of Network Data Analysis - Wikipedia
WEBA 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 …
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