fractal dimension
Noun
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Noun
fractal dimension (plural fractal dimensions)
- (analysis) A dimension in which it is the most suitable to make measurements on a fractal set.
- 2005, John G. Holden, [https://web.archive.org/web/20101225100253/http://www.nsf.gov/sbe/bcs/pac/nmbs/chap6.pdf Gauging the Fractal Dimension of Response Times from Cognitive Tasks]
- Conventional statistical analyses presuppose that intrinsic variability is white noise. White noise yields a jagged and irregular line with a fractal dimension of 1.5, because successive observations are statistically independent of each other. Its fractal dimension indicates the extent to which white noise occupies 2-D space. White noise is uncorrelated noise. By contrast, the successive observations of pink noise tend to be positively correlated. This results in a less jagged trial series, and lower fractal dimensions that fall in the interval between 1 and 1.5.
- The perimeter of Britain measured in the first dimension yields infinity, and measured in the second dimension yields zero, so it has to be measured in a fractal dimension of approximately 1.25.
- 2005, John G. Holden, [https://web.archive.org/web/20101225100253/http://www.nsf.gov/sbe/bcs/pac/nmbs/chap6.pdf Gauging the Fractal Dimension of Response Times from Cognitive Tasks]
- Russian: фрактальная размерность
- Spanish: dimensión fractal
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.002