[Gnuplot-info] Tr : expression i want to fitted with gnuplot

[Ilehi S. <ile...@ya...>]

 


I use that expression in physics research, I want to fit this expression to determine the values ​​of n, S, T, but this expression is calculated by the  maple software and can not find a solution to loading by Gnuplot (conversion maple-gnuplot),in other hand Gnuplot does not understand the complex 'i', please help me to find a solution,
thank you very much
this is the expression
f(x)=abs((.9756567752*exp(-(.1628102823*(1.+i))*sqrt(x))*(-5.084444444*10^(-21)*(5.208333335*10^21*exp(-0.450e-3*sqrt((6.28*i*x+1/t)/n)-67.50)*(S+sqrt((6.28*i*x+1/t)/n)*n)/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)*(sqrt((6.28*i*x+1/t)/n)*n-1.*S))-5.208333335*10^21*(S-1.5*10^5*n)/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)*(sqrt((6.28*i*x+1/t)/n)*n-1.*S)))*(1.+0.2763953196e-2*sqrt((6.28*i*x+1/t)/n)/((1.+i)*sqrt(x)))/(t*((6.28*i*x+1/t)/n-1.308996939*10^5*(1.+i)^2*x))+n*(1.-0.2763953196e-2*sqrt((6.28*i*x+1/t)/n)/((1.+i)*sqrt(x)))+(26.48148149/(t*n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)*(2.25*10^10-1.308996939*10^5*(1.+i)^2*x))+1973.518519/(2.25*10^10-1.308996939*10^5*(1.+i)^2*x))*(1.+414.5929793/((1.+i)*sqrt(x)))-1.405316647*10^(-23)*S*(5.208333335*10^21*exp(-0.450e-3*sqrt((6.28*i*x+1/t)/n)-67.50)*(S+sqrt((6.28*i*x+1/t)/n)*n)/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)*(sqrt((6.28*i*x+1/t)/n)*n-1.*S))-5.208333335*10^21*(S-1.5*10^5*n)/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)*(sqr
t((6.28*i*x+1/t)/n)*n-1.*S))+5.208333335*10^21*exp(-0.450e-3*sqrt((6.28*i*x+1/t)/n)-67.50)/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n))-5.208333335*10^21/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)))/((1.+i)*sqrt(x)))-1.024343225*exp((.1628102823*(1.+i))*sqrt
 (x))*(-5.084444444*10^(-21)*(5.208333335*10^21*exp(-0.450e-3*sqrt((6.28*i*x+1/t)/n)-67.50)*(S+sqrt((6.28*i*x+1/t)/n)*n)/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)*(sqrt((6.28*i*x+1/t)/n)*n-1.*S))-5.208333335*10^21*(S-1.5*10^5*n)/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)*(sqrt((6.28*i*x+1/t)/n)*n-1.*S)))*(1.-0.2763953196e-2*sqrt((6.28*i*x+1/t)/n)/((1.+i)*sqrt(x)))/(t*((6.28*i*x+1/t)/n-1.308996939*10^5*(1.+i)^2*x))+n*(1.+0.2763953196e-2*sqrt((6.28*i*x+1/t)/n)/((1.+i)*sqrt(x)))+(26.48148149/(t*n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)*(2.25*10^10-1.308996939*10^5*(1.+i)^2*x))+1973.518519/(2.25*10^10-1.308996939*10^5*(1.+i)^2*x))*(1.-414.5929793/((1.+i)*sqrt(x)))+1.405316647*10^(-23)*S*(5.208333335*10^21*exp(-0.450e-3*sqrt((6.28*i*x+1/t)/n)-67.50)*(S+sqrt((6.28*i*x+1/t)/n)*n)/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)*(sqrt((6.28*i*x+1/t)/n)*n-1.*S))-5.208333335*10^21*(S-1.5*10^5*n)/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)*(sqrt((6.28*i*x+1/t)/n)*n-1.*S))+5.208333335*10^21*exp(-
 0.450e-3*sqrt((6.28*i*x+1/t)/n)-67.50)/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n))-5.208333335*10^21/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)))/((1.+i)*sqrt(x)))-1.016888889*10^(-20)*(5.208333335*10^21*exp(-0.450e-3*sqrt((6.28*i*x+1/t)/n)-67.50)*(S+sqrt((6.28*i*x+1/t)/n)*n)/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)*(sqrt((6.28*i*x+1/t)/n)*n-1.*S))-5.208333335*10^21*(S-1.5*10^5*n)/(n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)*(sqrt((6.28*i*x+1/t)/n)*n-1.*S)))*(0.2434322478e-1-0.2763953196e-2*sqrt((6.28*i*x+1/t)/n)/((1.+i)*sqrt(x)))*exp(-0.450e-3*sqrt((6.28*i*x+1/t)/n))/(t*((6.28*i*x+1/t)/n-1.308996939*10^5*(1.+i)^2*x))+2.*n*(0.2434322478e-1+0.2763953196e-2*sqrt((6.28*i*x+1/t)/n)/((1.+i)*sqrt(x)))*exp(0.450e-3*sqrt((6.28*i*x+1/t)/n))+9.686178480*10^(-30)*(26.48148149/(t*n*(2.25*10^10-(1.*(6.28*i*x+1/t))/n)*(2.25*10^10-1.308996939*10^5*(1.+i)^2*x))+1973.518519/(2.25*10^10-1.308996939*10^5*(1.+i)^2*x))*(0.2434322478e-1-414.5929793/((1.+i)*sqrt(x))))/(.9751817626*exp(-(.1628102
 823*(1.+i))*sqrt(x))-1.024841941*exp((.1628102823*(1.+i))*sqrt(x))))
 
 
experimental data
 
Amplitude (f(x))         frequency(x)
3.3166247903554      1
3.54964786985977     0.914285714285714
3.75499667110372     0.828571428571429
3.92428337406972     0.8
4.06201920231798     0.771428571428571
4.23083916026124     0.714285714285714
4.38178046004133     0.685714285714286
4.56070170039655     0.714285714285714
4.7116875957559       0.685714285714286
4.9295030175465
       0.6
4.9295030175465       0.628571428571428
5.05964425626941     0.6
5.23450093132096     0.628571428571428
5.46808924579693     0.571428571428571
5.81377674149945     0.542857142857143
6.04979338490167     0.542857142857143
6.27694193059009     0.514285714285714
6.64830805543787     0.485714285714286
6.92098258919931     0.457142857142857
7.3348483283569       0.428571428571428
7.61577310586391     0.4
7.90569415042095     0.4
8.14248119432891     0.4
8.40832920383116     0.4
8.73498712076898    
 0.371428571428571
9.04986187739901     0.371428571428571
9.42867965305853     0.371428571428571
9.91463564635635     0.4
10.4163333279998     0.371428571428571
10.7191417566893     0.342857142857143
11.0589330407594     0.371428571428571
11.3401940018679     0.371428571428571
11.8406080924925     0.371428571428571
12.169634341261       0.4
12.5019998400256     0.371428571428571
12.8062484748657     0.4
13.1529464379659      0.371428571428571
13.4126805672841     0.4
13.5683455144686     0.4
13.8130373198656     0.4
14.0712472794703     0.4
14.1067359796659    
 0.4
14.3527000944073     0.314285714285714
14.5945195193264     0.371428571428571
14.7105404387466     0.371428571428571
14.8963082674869     0.342857142857143
15.0864177325169     0.371428571428571
15.1986841535707     0.371428571428571
15.4175224987674     0.4
15.6204993518133     0.371428571428571