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.
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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.
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References in periodicals archive ?
Falconer, The geometry of fractal sets. Cambridge Univ.
Figure 5 shows the substrate layer distributions in step 2 for those four fractal sets shown previously.
Thus, applications with GIS, with meteorological databases, with medical image databases, etc., will encounter fractal sets very often.
We now briefly recall some specific preparatory material concerning fractal sets in [R.sup.2n].
The topics are periodic points, chaos in one and two dimensions, systems of differential equations, fractals, creating fractal sets, and complex fractals in Julia sets and the Mandelbrot set.
In the case of harmonic quantum oscillators, the continued fractions F (1) not only define fractal sets of natural angular frequencies [[omega].sub.jk], oscillation periods [[tau].sub.jk] = 1/[[omega].sub.jk] and wavelengths [[lambda].sub.jk] = c/[[omega].sub.jk] of the chain system, but also fractal sets of energies [E.sub.jk] = [??] x [[omega].sub.jk] and masses [m.sub.jk] = [E.sub.jk]/[c.sup.2] which correspond with the eigenstates of the system.