Self-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 typical property of fractals. Scale invariance is a… See more
Self-affinityIn mathematics, self-affinity is a feature of a fractal whose pieces are scaled by different amounts in the x- and y … See more
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- Self-similarity refers to the property where an object or process is similar to a part of itself, either exactly or approximately. In mathematics, self-similar objects have the same shape as one or more of their parts, and many real-world phenomena, such as coastlines, exhibit statistical self-similarity at different scales. In data analysis, self-similarity can be represented using matrices or other measures12. Self-similar processes in stochastic modeling behave the same when viewed at different degrees of magnification or scales3.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.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.en.wikipedia.org/wiki/Self-similarityIn 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 matrix), correlation, or comparison of local histograms or spectral properties (e.g. IXEGRAM).en.wikipedia.org/wiki/Self-similarity_matrixSelf-similar processes are types of stochastic processes that exhibit the phenomenon of self-similarity. A self-similar phenomenon behaves the same when viewed at different degrees of magnification, or different scales on a dimension (space or time).en.wikipedia.org/wiki/Self-similar_process
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Self-similar solution - Wikipedia
A simple example is a semi-infinite domain bounded by a rigid wall and filled with viscous fluid. At time the wall is made to move with constant speed in a fixed direction (for definiteness, say the direction and consider only the plane), one can see that there is no distinguished length scale given in the problem. This is known as the Rayleigh problem. The boundary conditions of no-slip is
Also, the condition that the plate has no effect on the fluid at infinity is enforced asA simple example is a semi-infinite domain bounded by a rigid wall and filled with viscous fluid. At time the wall is made to move with constant speed in a fixed direction (for definiteness, say the direction and consider only the plane), one can see that there is no distinguished length scale given in the problem. This is known as the Rayleigh problem. The boundary conditions of no-slip is
Also, the condition that the plate has no effect on the fluid at infinity is enforced asWikipedia · Text under CC-BY-SA license- Estimated Reading Time: 5 mins
Self-similar process - Wikipedia
WEBSelf-similar processes are stochastic processes satisfying a mathematically precise version of the self-similarity property. Several related properties have this name, and …
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-similarity - Wikiwand
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 …
Self-similar process - Wikiwand
WEBFrom Wikipedia, the free encyclopedia. Self-similar processes are stochastic processes satisfying a mathematically precise version of the self-similarity property. Several related …
Self-similarity - WikiMili, The Best Wikipedia Reader
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: Properties and Applications – Sera …
WEBMar 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 - 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 …
Fractal - Wikipedia
WEBQuasi self-similarity: approximates the same pattern at different scales; may contain small copies of the entire fractal in distorted and degenerate forms; e.g., the Mandelbrot set's satellites are approximations of 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.
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。 …
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 …
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 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 …
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.
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 …
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 ...
WEBAccording to these findings, we distinguish two sorts of self-similarity of Wikipedia’s discussion space: horizontally, regarding thematically demarcated subparts of this …
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 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 …
Content similarity detection - Wikipedia
WEBPlagiarism detection or content similarity detection is the process of locating instances of plagiarism or copyright infringement within a work or document. The widespread use of …