# Fractal

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Related to fractal geometry: Mandelbrot set, Fractals

## 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 ?
Based on the theory of dynamic systems and fractal geometry applied to cardiology, it was achieved--by means of an exponential law --to determine all the possible normal cardiac dynamics, with acute disease, and the evolution between those two states, a study whose clinical applicability as a diagnostic aid tool was recently confirmed (23).
Dynamic spatial analysis of urban sprawl through fractal geometry: the case of Istanbul, Environment and Planning B: Planning and Design 38(1): 75-190.
Falconer, Fractal Geometry: Mathematical Foundation and Applications, John Wiley & Sons, New York, NY, USA, 2nd edition, 2003.
[6.] Mandelbrot, B., The Fractal Geometry of Nature, New York: W.
Applying fractal geometry to mechanical ventilation may become the new way to ventilate our ARDS/ALI patients.
PISRS International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics (2011: Sicily, Italy).
First of all, we present some of the elementary ideas necessary to understand applications of fractal geometry in geo-information processing .
Fractal geometry is mathematically defined in "Hausdorff dimensions," a set of nonintegers, according to the theory proposed by Mandelbrot .
Chen, "Fractal geometry and fracture of rock," Acta Mechanica Sinica, vol.
For example, the heat transfer equations in a medium with fractal geometry  and fractal domains  were considered.
AIM: The aim of this study was to use fractal geometry to compare the morphometric complexity in the normal andsquamous cell carcinoma of the buccal mucosa, which was fulfilled by estimating the fractal dimensions of ECTI profiles, isolated from histological sections of the tissue specimens.
So far in the large number of previous researches, fractal geometry is applied to reduce electrical size of antennas by the good filling property itself or design as a radiator of the monopole antenna to obtain multiband or wideband performance.

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