FRACTAL BASICS B
 

The density ro, intensity Er and potential Vr of physical field for different values of euclidean and fractal dimensions in

distance:  

 
 


 

 


Programming code at Maple for calculation of quantities

> restart:
> with(linalg):
> ED:=3;
> FD:=2;
> X:=vector(ED):
> r:=sqrt(multiply(X,X)):
> V:=-k*e*K*r^(FD-ED+2)/(FD*(FD-ED+2)):
> 'V'=subs(r^2=R^2,V);
> EV:=-grad(V,X):
> E:=simplify(sqrt(multiply(EV,EV))):
> 'E'=subs(r^2=R^2,E);
> ro:=-simplify(laplacian(V,X)/k):
> 'ro'=subs(r^2=R^2,ro);