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Fractal |
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FractalAn object in which the parts are in some way related to the whole. That is, the individual components are "self-similar." An example is the branching network in a tree. While each branch, and each successive smaller branching is different, they are qualitatively similar to the structure of the whole tree.Fractal Similar MatchesStable Paretian, or Fractal HypothesisStable Paretian, or Fractal HypothesisIn the characteristic function of the fractal family of distributions, the characteristic exponent alpha can range between one and two. See: Alpha, Fractal Distributions, Gaussian. Fractal DistributionFractal DistributionA probability density function that is statistically self-similar. That is, in different increments of time, the statistical characteristics remain the same. Fractal DimensionFractal DimensionA 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 discontinuous, like a wiffle ball, and so have fractional, or fractal dimensions. |
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