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[amibroker] Re: Chaos:Introductory AFL notes



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besides being great we can iterate ... what use has it been in a 
practical sense ?
any examples within trading ?



regards
das300
maurice


--- In amibroker@xxxxxxxxxxxxxxx, "DIMITRIS TSOKAKIS" <TSOKAKIS@xxxx> 
wrote:
> 
> AFL structure helps to reproduce the tables of
> http://www.hypertextbook.com/chaos/11.shtml
> The initial function is applied 1, 5, 10, 50, 100, 500 and 1000 
times 
> [!!]
> In an Indicator builder window paste the
> 
> Title="The orbits of 9 seeds of the f(x)=x^2+1/4"; 
> function f1(x)
> {return x^2+1/4;}
> function f5(x)
> {return f1(f1(f1(f1(f1(x)))));}
> function f10(x)
> {return f5(f5(x));}
> function f50(x)
> {return f10(f10(f10(f10(f10(x)))));}
> function f100(x)
> {return f50(f50(x));}
> function f500(x)
> {return f100(f100(f100(f100(f100(x)))));}
> function f1000(x)
> {return f500(f500(x));}
> for(i=-1;i<=1;i=i+0.25)
> {
> Title=Title+"\ni="+
> WriteIf(i>=0," ","")+WriteVal(i,1.2)+
> WriteIf(f1(i)>0,"   ","  ")+WriteVal(f1(i),1.3)+
> WriteIf(f5(i)>0,"   ","  ")+WriteVal(f5(i),1.3)+
> WriteIf(f10(i)>0,"   ","  ")+WriteVal(f10(i),1.3)+
> WriteIf(f50(i)>0,"   ","  ")+WriteVal(f50(i),1.3)+
> WriteIf(f100(i)>0,"   ","  ")+WriteVal(f100(i),1.3)+
> WriteIf(f500(i)>0,"   ","  ")+WriteVal(f500(i),1.3)+
> WriteIf(f1000(i)>0,"   ","  ")+WriteVal(f1000(i),1.3);
> }
> 
> and, with a few changes, in a new IB window, paste the
> 
> Title="The orbits of 15 seeds of the f(x)=x^2-3/4"; 
> function f1(x)
> {return x^2-3/4;}
> function f5(x)
> {return f1(f1(f1(f1(f1(x)))));}
> function f10(x)
> {return f5(f5(x));}
> function f50(x)
> {return f10(f10(f10(f10(f10(x)))));}
> function f100(x)
> {return f50(f50(x));}
> function f500(x)
> {return f100(f100(f100(f100(f100(x)))));}
> function f1000(x)
> {return f500(f500(x));}
> for(i=-1.75;i<2;i=i+0.25)
> {
> Title=Title+"\ni="+
> WriteIf(i>=0," ","")+WriteVal(i,1.2)+
> WriteIf(f1(i)>0,"   ","  ")+WriteVal(f1(i),1.3)+
> WriteIf(f5(i)>0,"   ","  ")+WriteVal(f5(i),1.3)+
> WriteIf(f10(i)>0,"   ","  ")+WriteVal(f10(i),1.3)+
> WriteIf(f50(i)>0,"   ","  ")+WriteVal(f50(i),1.3)+
> WriteIf(f100(i)>0,"   ","  ")+WriteVal(f100(i),1.3)+
> WriteIf(f500(i)>0,"   ","  ")+WriteVal(f500(i),1.3)+
> WriteIf(f1000(i)>0,"   ","  ")+WriteVal(f1000(i),1.3);
> }
> 
> Glenn Elert, the author of this interesting book, writes :"...if 
you 
> wait long enough..."
> The AFL time is ~2sec and it is not bad at all !!
> 
> Dimitris





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