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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 See more
The Mandelbrot set is also self-similar around Misiurewicz points.
Self-similarity has important consequences for the design of … 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-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 …
- Estimated Reading Time: 9 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 …
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 …
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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。 …
Coastline paradox - Wikipedia
WEBStatistical Self-Similarity and Fractional Dimension", published on 5 May 1967, Mandelbrot discusses self-similar curves that have Hausdorff dimension between 1 and 2. These curves are examples of fractals, …
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 …
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 …
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 …
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: Properties and Applications – Sera Markoff
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 - 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.
Taylor–von Neumann–Sedov blast wave - Wikipedia
WEBTaylor–von Neumann–Sedov blast wave (or sometimes referred to as Sedov–von Neumann–Taylor blast wave) refers to a blast wave induced by a strong explosion. The …
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 …
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 …
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 …
Fractal Basics | Mathematics for the Liberal Arts - Lumen Learning
WEBFractals are mathematical sets, usually obtained through recursion, that exhibit interesting dimensional properties. We’ll explore what that sentence means through the rest of the …
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 matrix | Semantic Scholar
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 …
Self-Similarity -- from Wolfram MathWorld
WEB4 days ago · An object is said to be self-similar if it looks "roughly" the same on any scale. Fractals are a particularly interesting class of self-similar objects. Self-similar objects …
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 …
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