Fractal

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Fractal

An 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

1. In technical analysis, an indicator of the reversal of the previous trend. It is shown on a candlestick chart as a series of five candles, representing five trading days. A bullish fractal occurs when the lowest low of any trading day is represented by the middle candle, with two successively less low trading days on each side. This is seen as a buy signal. A bearish fractal occurs when the highest high of the five days is represented by the middle candle, with two successively less high trading days on each side. This is seen as a sell signal.

2. Any whole made up of parts that are self-similar.
References in periodicals archive ?
The algorithm here uses a wide range of the fractal sets and the speed of its generation.
Montrucchio and Privileggi (1999) borrowed from the literature on fractal images generation (specifically, from the 'Collage Theorem' by Hutchinson, 1981; Barnsley, 1989; Vrscay, 1991) to show that standard stochastic concave optimal growth models may exhibit optimal trajectories which are random processes converging to singular invariant distributions supported on fractal sets regardless of the discount factor.
This correspondence can be used in order to define a Laplacian on fractal sets which are often used to model 'wild', 'irregular', and 'rough' things.