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Landau L.D., Lifshits E.M. Course of theoretical physics, vol.1. Mechanics. Pages one and two. Concept of number of degrees of freedom. Sit and read.
In essence, in answer to the question from here:
https://www.mql5.com/ru/articles/1351
Of course, it would be more interesting to reduce currency movements to one or more independent variables - it would greatly simplify the task of restoring the market attractor and predicting quotes.
Note, the number of independent variables is always smaller than the number of graphs in question :-) it cannot be otherwise, because there are coupling equations. Thus, the task gets really simple.
I, like DmitiyN, don't understand either. Let's take two variables: x, y. And move them independently and randomly in time. At the same time we will calculate the 3rd dependent variable z=x/y. So, the doctor claims that somehow we can predict x and y.
Anticipate the response, "But x and y are correlated, not 100%, but at least somehow." If they were 100% correlated, then z=x/y would be a constant. Right? So we take x=EURUSD, y=GBPUSD (somehow correlated with each other) and get z=x/y=EURGBP. In the case of 100% correlation between EURUSD and GBPUSD, EURGBP was a horizontal straight line. But it is not. We may assume that EURGBP deviations from the flat straight is noise and trade on EURGBP returning to some constant value (or some smooth curve, whoever wants it), which dozens of scalpers such as commercial FAP TURBO already do. It works well if the spreads are small.
Dr claims that somehow we can predict x and y.
Absolutely not. There is no way to predict anything. Once again, read the above:
Dr.Drain:I'm wrong. I thought I mentioned at this point that we don't have to build a linear filter, we will build a non-linear filter, but of course physically feasible, i.e. without peeking ahead.
I am in no way talking about peeking into the future. I'm talking about not lagging. It is not the same as being ahead of time. Not at all the same.
We can assume that EURGBP deviations from a flat straight line are noise and trade on EURGBP returning to some constant value (or some smooth curve, whoever wants it), which dozens of scalpers such as the commercial FAP TURBO are already doing.
I, like DmitiyN, don't understand either. Let's take two variables: x, y. And move them independently and randomly in time. At the same time we will calculate the 3rd dependent variable z=x/y. So, dr claims that somehow we can predict x and y.
The question arises: where can the additional information come from?
A MA built on the EURUSD chart using the values from the GBPUSD and EURGBP charts, what will not lag?
You are placing positions in the direction of the filter line, as far as I understand. But, how do you determine their number, the maximum lots of positions?