Sense of traditional definition of a fractal it is possible to explain fractal Forex as follows. The fractal is a set of points. Any set of points can attribute some number characterizing its massiveness named dimension of set. In simple chances dimension coincides with quantity of the co-ordinates necessary for the task of a point of this set. Simple sets have the whole dimension: a section – dimension 1, a square or a circle – two, a cube – three. But some sets have fractional dimension. Them also name fractals (fraction – fraction).
In the nature of fractals does not exist, but some objects characterized by “irregular behavior», it is possible to model successfully by means of fractals. How to distinguish a fractal, for example, on a plane? Basically it is not difficult. It is necessary to cover set points with small squares and to count their number, and then to look, as the number of squares in a cover if the size of a square reduces twice it will be changed. If the number of squares increases, for example, between 3 or at time, the fractal means before us.
If you draw the schedule of change of quotations of any share (time intervals between the next bars should be small enough) in some practical situations fractals will be good enough models for such schedule. As well as any model, a fractal describes dynamics of quotations of the considered share only approximately. That accuracy of approach was satisfactory, it is necessary, that on the schedule there were “many” bars, and the schedule behaved “extremely irregularly”. The concrete sense of the quoted words is advanced by conditions of that practical problem which is supposed to be decided.
The fractal is a set of five bars possessed “corner” upwards or downwards. Such “definition” will be adjusted with traditional definition of a fractal hardly. To tell that five are much, it is possible only with very big stretch. And “irregular” such behavior of quotations you will not name. Actually we have two different items: the standard definition of a fractal (for the first time it was given by B. Mandelbrot]) and M. Chekulaeva’s definition.
It will be convenient to us to begin from apart. Whether you mused of why technical analysis methods work in practice? It would seem, the life is infinitely diverse, the characters flashing on market horizon every day vary, there are new goods and the whole branches of production, maps are altered, and on schedules invariably there are same configurations. Why it is possible?
First of all, we will notice that the technical analyst deals only with a small time section of the schedule of quotations. Secondly, suppose, that the market is granted to itself. Then it is natural to consider that on change of parameters of the market material effect is rendered only by significances of parameters in a present situation of time and, partly, in not too remote past.
If these assumptions are executed, dynamics of the market can be described system of the differential equations. It is known that if to consider the decision of such system on small time sections a qualitative variety of the used equations is insignificant, and almost always the system decision will be similar to one of «typical figures». The set of these figures can depend on number of the objective parameters characterizing a market position (first of all, it is quotations), but, besides, price range can influence and the latent parameters like «prevailing preferences», the described by J. Soros in it of “Alchemy of the finance».
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