fractals

fractals
Mathematical patterns developed by Benoit Mandelbrot in 1977, in which small parts have the same shape as the whole. Blood vessels and the bronchial tree behave as f.; some infections and neoplasms also behave as f.. [Fr., fr. L. fractus, broken, pp. of frango, to break, + -al]

Medical dictionary. 2011.

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  • fractals — ● fractal, fractale, fractals adjectif (latin fractus, brisé) Se dit d objets mathématiques dont la création ou la forme ne trouve ses règles que dans l irrégularité ou la fragmentation ; se dit des branches des mathématiques qui étudient de tels …   Encyclopédie Universelle

  • fractals — n. groups that have broken dimensions so that each one looks like an exact copy of the second (like the Mandelbrot group in Mathematics); (In Computers) geometric shapes that have interesting contour lines …   English contemporary dictionary

  • List of fractals by Hausdorff dimension — A fractal is a geometric object whose Hausdorff dimension ( delta;) strictly exceeds its topological dimension. Presented here is a list of fractals ordered by increasing Hausdorff dimension, with the purpose of visualizing what it means for a… …   Wikipedia

  • Genuine Fractals — [ [http://www.pcpro.co.uk/macuser/reviews/15870/genuine fractals.html?searchString=fractal MacUser product review] ] [ [http://www.imaging resource.com/SOFT/GF/GF.HTM Imaging Resources product review] ] [ [http://www.graphics.com/modules.php?name …   Wikipedia

  • The Beauty of Fractals — Infobox Book name = The Beauty of Fractals title orig = translator = image caption = Cover author = Heinz Otto Peitgen, Peter Richter illustrator = cover artist = country = language = series = subject = Fractals genre = publisher = Springer… …   Wikipedia

  • Analysis on fractals — or calculus on fractals is a generalization of calculus on smooth manifolds to calculus on fractals.The theory describes dynamical phenomena which occur on objects modelled by fractals.It studies questions such as how does heat diffuse in a… …   Wikipedia

  • Fractal — A fractal is generally a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced size copy of the whole, [cite book last = Mandelbrot first = B.B. title = The Fractal Geometry of… …   Wikipedia

  • Fractal cosmology — In physical cosmology, fractal cosmology relates to the usage or appearance of fractals in the study of the universe or cosmos. When cosmologists study the universe, they employ both observational and theoretical tools, and examine (or consider)… …   Wikipedia

  • Стахов, Алексей Петрович — Эта статья предлагается к удалению. Пояснение причин и соответствующее обсуждение вы можете найти на странице Википедия:К удалению/30 октября 2012. Пока процесс обсужден …   Википедия

  • Benoît Mandelbrot — Infobox Scientist name = Benoît Mandelbrot caption = Mandelbrot in 2007 birth date = Birth date and age|df=yes|1924|11|20 birth place = Warsaw, Poland residence = France; United States nationality = French ethnicity = field = Mathematician alma… …   Wikipedia

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