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- ...', John Willey and Sons, 1997. ISBN 0-471-92287-0</ref> and use the term ''fractal'' to refer to a [[geometry|geometric]] object that has (most of) the follow ...straight Euclidean line) is formally self-similar but fails to have other fractal characteristics.14 KB (2,043 words) - 12:19, 11 June 2009
- * Falconer, Kenneth. ''Fractal Geometry: Mathematical Foundations and Applications''. West Sussex: John Wi * Mandelbrot, Benoît B. ''The Fractal Geometry of Nature''. New York: W. H. Freeman and Co., 1982. ISBN 0-7167-112 KB (297 words) - 13:37, 21 February 2009
- 12 bytes (1 word) - 13:05, 26 September 2007
- 169 bytes (23 words) - 07:02, 5 February 2009
- *[http://www.cut-the-knot.org/Curriculum/index.shtml#f Fractals, fractal dimension, chaos, plane filling curves] at [[cut-the-knot]] *[http://math.rice.edu/~lanius/fractals/self.html Fractal properties]5 KB (676 words) - 13:36, 21 February 2009
- {{r|Fractal geometry}} {{r|Fractal animation}}1 KB (184 words) - 06:32, 3 February 2010
Page text matches
- {{r|Fractal geometry}} {{r|Fractal animation}}1 KB (184 words) - 06:32, 3 February 2010
- *[http://www.cut-the-knot.org/Curriculum/index.shtml#f Fractals, fractal dimension, chaos, plane filling curves] at [[cut-the-knot]] *[http://math.rice.edu/~lanius/fractals/self.html Fractal properties]5 KB (676 words) - 13:36, 21 February 2009
- A fractal generated by starting with the interval [0,1] and removing the middle third163 bytes (23 words) - 14:36, 26 July 2008
- * Falconer, Kenneth. ''Fractal Geometry: Mathematical Foundations and Applications''. West Sussex: John Wi * Mandelbrot, Benoît B. ''The Fractal Geometry of Nature''. New York: W. H. Freeman and Co., 1982. ISBN 0-7167-112 KB (297 words) - 13:37, 21 February 2009
- {{r|Fractal}}338 bytes (47 words) - 14:45, 26 July 2008
- {{r|Fractal}}428 bytes (56 words) - 10:47, 11 January 2010
- {{r|Fractal}}554 bytes (72 words) - 11:42, 11 January 2010
- {{r|Fractal}}502 bytes (64 words) - 17:06, 11 January 2010
- {{r|Fractal}}613 bytes (77 words) - 19:56, 11 January 2010
- ...', John Willey and Sons, 1997. ISBN 0-471-92287-0</ref> and use the term ''fractal'' to refer to a [[geometry|geometric]] object that has (most of) the follow ...straight Euclidean line) is formally self-similar but fails to have other fractal characteristics.14 KB (2,043 words) - 12:19, 11 June 2009
- ...rinciples in front of the [[Panton Arms]] pub and was obtained by [[:Image:Fractal-Trace-Gimp-Panton-Principles-Settings.png|mapping]] onto the [[Mandelbrot s3 KB (484 words) - 09:06, 1 September 2011
- ...bservation in nature of certain complex structures and patterns, such as [[fractal]]s, [[power law]]s and [[1/f noise]]. Technically speaking, it refers to [ * [[Fractal]]s5 KB (554 words) - 07:16, 9 June 2009
- ...mathematics of a complex adaptive system. That are many other examples of fractal patterns in nature including the prediction of weather patterns.<ref name="7 KB (971 words) - 20:31, 26 June 2012
- ...moving the middle third of a [[line segment]] on each iteration. It is a [[fractal]] with a [[Hausdorff dimension]] of [[Natural logarithm|ln]](2)/ln(3), whic2 KB (306 words) - 16:51, 31 January 2011
- In [[mathematics]], in the study of [[fractal]]s, a '''Hutchinson operator''' is a collection of functions on an underlyi2 KB (327 words) - 15:52, 27 October 2008
- ...= Chaos theory, Asimov's foundations and robots, and Herbert's Dune : the fractal aesthetic of epic science fiction3 KB (363 words) - 01:17, 6 February 2009
- ...of mathematical concepts, featuring [[curve]]s, [[symmetry]], [[chaos]], [[fractal]]s, [[Moiré pattern]]s, [[kinematics]] and [[simulation]]s3 KB (462 words) - 19:07, 17 May 2010
- ...n Ness proposed the name '''fractional noise''' (sometimes since called '''fractal noise''') to emphasise that the exponent of the spectrum could take non-int3 KB (541 words) - 19:57, 18 September 2021
- *Fractal dimension3 KB (497 words) - 10:27, 1 April 2024
- ...t. However, it would not make sense to give the [[Sierpiński triangle]] [[fractal]] a dimension of 2, since it does not fully occupy the 2-dimensional realm. ...nature are not strictly classical smooth bodies, but best approximated as fractal sets, i.e. subsets of '''R'''<sup>''N''</sup> whose Hausdorff dimension is15 KB (2,549 words) - 09:18, 17 February 2012
- | title = Fractal dimension in human cortical surface: multiple regression analysis with cort4 KB (516 words) - 08:55, 15 January 2010
- ...has a complicated boundary, which defines a [[fractal]] called a [[Newton fractal]].17 KB (2,889 words) - 12:40, 11 June 2009
- ...for earthquake sizes, or scaling relationships such as those observed in [[fractal]]s, [[1/f noise]] and [[allometric law|allometric scaling laws]] in living9 KB (1,454 words) - 08:23, 18 October 2013
- ...nt may be self-similar in a way that can be exploited statistically; see [[Fractal]] for a specific type of self-similarity.12 KB (1,878 words) - 05:48, 8 April 2024
- ...[Hausdorff measure]] which is a refinement of the Lebesgue measure to some fractal sets.14 KB (2,350 words) - 17:37, 10 November 2007
- ...<math>L</math> and <math>L^*</math>. Function is quasi-periodic; the same fractal structure reproduces again and again at the translation of argument with qu ...z)>1~,~ 1<|\Im(z)|<2</math>. In these regions, the function slogr show the fractal behavior.65 KB (10,203 words) - 04:16, 8 September 2014
- Aside from his musical interests, Ligeti expressed fondness for the [[fractal geometry]] of [[Benoît Mandelbrot]], and the writings of [[Lewis Carroll]]12 KB (1,735 words) - 20:15, 12 September 2013
- 118. Mandelbrot, B.B. 1982. The Fractal Nature of Geometry. W.H. Freedman and Company. 139. Palmer, M.W. 1992. The coexistence of species in fractal landscapes. American Naturalist, 139, p. 375-397.23 KB (3,026 words) - 11:38, 13 June 2010
- ...cialist, the first thing you need to know (and you look for) is: what is a fractal? Same for [[pseudoscience]] in my view. ...entitled e.g. "Introduction" (this is at least what I'm trying to do in [[Fractal]]). Proportions may depend heavily on the topic. For example, in the presen66 KB (10,879 words) - 17:02, 5 March 2024
- ...ry]] || [[Trigonometry]] || [[Differential geometry]] || [[Topology]] || [[Fractal geometry]]30 KB (4,289 words) - 16:03, 20 January 2023
- ...omponent parts. Examples include systems that contain [[strange loop]]s, [[fractal]] organisation and [[strange attractor]]s in [[phase space]]. Analysis of s31 KB (4,648 words) - 05:07, 26 October 2013
- ...space, be it connected or not, compact or not, be it a curve, a domain, a fractal, or whatever; and all these are still a minority among all topological spac34 KB (5,174 words) - 21:32, 25 October 2013
- ...urakin A. (2011) [http://www.tbiomed.com/content/8/1/4 The self-organizing fractal theory as a universal discovery method: the phenomenon of life.] ''Theoreti194 KB (28,649 words) - 05:43, 6 March 2024