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correlation dimension

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  • Correlation dimension — In chaos theory, the correlation dimension (denoted by ν) is a measure of the dimensionality of the space occupied by a set of random points, often referred to as a type of fractal dimension.[1][2][3] For example, if we have a set of random… …   Wikipedia

  • correlation dimension — An estimate of the fractal dimension which measures the probability that two points chosen at random will be within a certain distance of each other, and examines how this probability changes as the distance is increased. white noise will fill… …   Financial and business terms

  • Correlation sum — In chaos theory, the correlation sum is the estimator of the correlation integral, which reflects the mean probability that the states at two different times are close: where N is the number of considered states , ε is a threshold distance, a… …   Wikipedia

  • Correlation integral — In chaos theory, the correlation integral is the mean probability that the states at two different times are close: where N is the number of considered states , ε is a threshold distance, a norm (e.g. Euclidean norm) and …   Wikipedia

  • Dimension — 0d redirects here. For 0D, see 0d (disambiguation). For other uses, see Dimension (disambiguation). From left to right, the square, the cube, and the tesseract. The square is bounded by 1 dimensional lines, the cube by 2 dimensional areas, and… …   Wikipedia

  • Dimension — Sur les autres projets Wikimedia : « Dimension », sur le Wiktionnaire (dictionnaire universel) Dans le sens commun, la notion de dimension renvoie à la taille ; les dimensions d une pièce sont sa longueur, sa largeur et sa… …   Wikipédia en Français

  • Correlation Integral — The probability that two points are within a certain distance from one another. Used in the calculation of the correlation dimension. Bloomberg Financial Dictionary …   Financial and business terms

  • Correlation spectroscopy — is one of several types of two dimensional nuclear magnetic resonance (NMR) spectroscopy. Other types of two dimensional NMR include J spectroscopy, exchange spectroscopy (EXSY), and Nuclear Overhauser effect spectroscopy (NOESY). Two dimensional …   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

  • Dimension (data warehouse) — This article is about a dimension in a data warehouse. For other uses, see dimension (disambiguation). In a data warehouse, a dimension is a data element that categorizes each item in a data set into non overlapping regions. A data warehouse… …   Wikipedia

  • Corrélation linéaire — Régression linéaire Pour les articles homonymes, voir Régression. Un exemple graphique En statistiques, étant donné un échantillon aléatoire …   Wikipédia en Français

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