fractal dimension

fractal dimension
A dimension in which it is the most suitable to make measurements on a fractal set.

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.

See Also: dimension, fractal

Wikipedia foundation.

Игры ⚽ Нужно сделать НИР?

Look at other dictionaries:

  • Fractal dimension — In fractal geometry, the fractal dimension, D , is a statistical quantity that gives an indication of how completely a fractal appears to fill space, as one zooms down to finer and finer scales. There are many specific definitions of fractal… …   Wikipedia

  • Fractal dimension on networks — Self similarity of complex networks= Many real networks have two fundamental properties, scale free property and small world property. If the degree distribution of the network follows a power law, the network is scale free; if any two arbitrary… …   Wikipedia

  • fractal dimension — /fræktəl dəˈmɛnʃən/ (say fraktuhl duh menshuhn) noun a measurement of the irregularity of a fractal. Such a measurement results in a dimension which does not necessarily have to be a whole number and which is greater than the apparent (or… …  

  • fractal dimension — A number that quantitatively describes how an object fills its space. In Euclidean , or Plane geometry, objects are solid and continuous. That is, they have no holes or gaps. As such, they have integer dimensions. fractals are rough and often… …   Financial and business terms

  • Dimensión fractal — Saltar a navegación, búsqueda En geometría de fractales, la dimensión fractal, D es una cantidad estadística que da una idea de cuán completamente parece llenar un fractal el espacio conforme se amplía el primero hacia escalas más y más finas.… …   Wikipedia Español

  • fractal — fractal, ale [ fraktal ] adj. et n. f. • 1975; dér. sav. du lat. fractus « brisé » ♦ Didact. Objet fractal : objet mathématique servant à décrire des objets de la nature dont les formes découpées laissent apparaître à des échelles d observation… …   Encyclopédie Universelle

  • Fractal analysis — is the modelling of data by fractals.It consists of methods to assign a fractal dimension and other fractal characteristics to a signal, dataset or object which may be sound, images, molecules, networks or other data.Fractal analysis is now… …   Wikipedia

  • Fractal — Este artículo o sección sobre matemáticas necesita ser wikificado con un formato acorde a las convenciones de estilo. Por favor, edítalo para que las cumpla. Mientras tanto, no elimines este aviso puesto el 16 de octubre de 2010. También puedes… …   Wikipedia Español

  • 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

  • Dimension fractale — Mesure de la dimension fractale de la côte de Grande Bretagne En géométrie fractale, la dimension fractale, D, est une grandeur qui a vocation à traduire la façon qu a un ensemble fractal de remplir l espace, à toutes les échelles. Dans le cas… …   Wikipédia en Français

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”