Fractal analysis is assessing fractal characteristics of data. It consists of several methods to assign a fractal dimension and other fractal characteristics... 34 KB (3,489 words) - 18:10, 10 February 2024 |
 | In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding... 74 KB (8,018 words) - 15:11, 24 April 2024 |
fractal dimension is a term invoked in the science of geometry to provide a rational statistical index of complexity detail in a pattern. A fractal pattern... 44 KB (4,735 words) - 23:17, 11 March 2024 |
 | Multifractal system (redirect from Multi-fractal analysis) effect is responsible for variation in the fractal dimension of the monofractal sequences. Multifractal analysis is used to investigate datasets, often in... 30 KB (3,301 words) - 09:53, 4 March 2024 |
 | Jackson Pollock (section Fractal computer analysis) scientific groups have performed fractal analysis on over 50 of Pollock's works. A 2015 study that used fractal analysis as one of its techniques achieved... 74 KB (8,122 words) - 21:28, 25 April 2024 |
 | self-similarity of fractal curves, and have applied theory of fractals to modelling natural phenomena. Self-similarity occurs, and analysis of these patterns... 5 KB (382 words) - 18:05, 10 February 2024 |
Analysis on fractals or calculus on fractals is a generalization of calculus on smooth manifolds to calculus on fractals. The theory describes dynamical... 2 KB (260 words) - 13:41, 26 September 2022 |
 | Box counting (category Fractals) out of and is used in fractal analysis. It also has application in related fields such as lacunarity and multifractal analysis. Theoretically, the intent... 16 KB (1,827 words) - 05:37, 29 August 2023 |
Fractal expressionism is used to distinguish fractal art generated directly by artists from fractal art generated using mathematics and/or computers.... 18 KB (2,487 words) - 00:52, 13 January 2021 |
 | fractal analysis. Lacunarity analysis is now used to characterize patterns in a wide variety of fields and has application in multifractal analysis in... 18 KB (1,892 words) - 22:22, 12 March 2024 |
 | Fractal analysis is useful in the study of complex networks, present in both natural and artificial systems such as computer systems, brain and social... 9 KB (1,286 words) - 14:19, 28 January 2024 |
 | recognized for his contribution to the field of fractal geometry, which included coining the word "fractal", as well as developing a theory of "roughness... 49 KB (4,914 words) - 22:18, 14 March 2024 |
Combinatorics (redirect from Combinatorial analysis) and probability. It has applications to enumerative combinatorics, fractal analysis, theoretical computer science, automata theory, and linguistics. While... 32 KB (3,441 words) - 14:32, 2 April 2024 |
 | A fractal antenna is an antenna that uses a fractal, self-similar design to maximize the effective length, or increase the perimeter (on inside sections... 15 KB (1,713 words) - 01:23, 16 May 2023 |
Fractal Analytics Private Limited is an American multinational artificial intelligence company which provides services in packaged consumer goods, insurance... 8 KB (589 words) - 15:24, 25 February 2024 |
 | Mandelbrot set (redirect from Mandlebrot fractal) especially as it is magnified. It is popular for its aesthetic appeal and fractal structures. The set is defined in the complex plane as the complex numbers... 57 KB (7,513 words) - 14:22, 23 April 2024 |
 | The Newton fractal is a boundary set in the complex plane which is characterized by Newton's method applied to a fixed polynomial p(z) ∈ C {\displaystyle... 16 KB (1,713 words) - 13:59, 14 March 2024 |
plots from a heartbeat time series. Yale Fractal Geometry Course Notes GLOSSARY OF TERMS USED IN TIME SERIES ANALYSIS OF CARDIOVASCULAR DATA Heikki V. Huikuri;... 6 KB (728 words) - 14:38, 7 January 2024 |
 | Weierstrass function (redirect from Weierstrass fractal function) continuous everywhere but differentiable nowhere. It is an example of a fractal curve. It is named after its discoverer Karl Weierstrass. The Weierstrass... 18 KB (2,287 words) - 09:24, 12 March 2024 |
 | Surface roughness (section Fractal theory) methodologies related to geostatistics (e.g., Herzfeld and Higginson, 1996), fractal analysis (e.g. Bez and Bertrand, 2011) and pattern recognition (e.g., Ojala... 35 KB (3,715 words) - 10:51, 11 January 2024 |
analysis, the fractal derivative or Hausdorff derivative is a non-Newtonian generalization of the derivative dealing with the measurement of fractals... 15 KB (2,935 words) - 06:56, 5 April 2024 |
 | Koch snowflake (redirect from Sphereflake fractal) as the Koch curve, Koch star, or Koch island) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve... 22 KB (2,535 words) - 16:11, 18 April 2024 |
 | Fractal compression is a lossy compression method for digital images, based on fractals. The method is best suited for textures and natural images, relying... 24 KB (2,695 words) - 22:06, 30 March 2024 |
Quattrochi, D. A. (1992). "On the Issues of Scale, Resolution, and Fractal Analysis in the Mapping Sciences". The Professional Geographer. 44 (1): 88–98... 4 KB (407 words) - 11:43, 2 June 2023 |
 | Seven states of randomness (category Fractals) The seven states of randomness in probability theory, fractals and risk analysis are extensions of the concept of randomness as modeled by the normal distribution... 12 KB (1,683 words) - 19:45, 14 April 2024 |
 | Fractal-generating software is any type of graphics software that generates images of fractals. There are many fractal generating programs available, both... 24 KB (2,405 words) - 00:08, 25 February 2024 |
 | In mathematics the Vicsek fractal, also known as Vicsek snowflake or box fractal, is a fractal arising from a construction similar to that of the Sierpinski... 5 KB (579 words) - 05:23, 26 July 2023 |
According to Benoit Mandelbrot, "A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension... 52 KB (1,139 words) - 23:59, 8 January 2024 |
 | morphological complexity and can be quantitated using the methods of fractal analysis, which have proven sensitive to even subtle, visually undetectable... 48 KB (5,632 words) - 05:04, 25 March 2024 |
In physical cosmology, fractal cosmology is a set of minority cosmological theories which state that the distribution of matter in the Universe, or the... 9 KB (1,178 words) - 16:40, 23 January 2024 |