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See all on WikipediaIn 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 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
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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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 - 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 …
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.
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 …
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 …
WEBThis exhibition of similar patterns at increasingly smaller scales is called self-similarity, also known as expanding symmetry or unfolding symmetry; if this replication is exactly the same at every scale, as in the Menger …
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 …
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.
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 …
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 - DataGenetics
WEBNov 29, 2012 · Our aim is to find finer properties that lie between length, area and volume. More specifically, if we call length 1-volume, area 2-volume and the 'normal' volume 3 …
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 …
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 …
Long range dependence and self similarity | Probability theory and ...
WEBThis modern and comprehensive guide to long-range dependence and self-similarity starts with rigorous coverage of the basics, then moves on to cover more specialized, up-to …
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 …
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 …
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 …
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 …
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 …
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