FRACTAL BASICS A
 

The density ro, intensity Er and potential Vr of physical field in the distance r from the midpoint of the bounded area for

Euclidean dimension:  

 
 


 

 


Programming code at Maple for calculation of quantities

> restart:
> with(linalg):
> ED:=1;
> X:=vector(ED):
> r:=sqrt(multiply(X,X)):
> V:=-k*e*K*r^(FD-ED+2)/(FD*(FD-ED+2)):
> 'V'=subs(r=R,V);
> EV:=grad(V,X):
> E:=simplify(sqrt(multiply(EV,EV))):
> 'E'=subs(r^2=R^2,E);
> ro:=simplify(laplacian(V,X)):
> 'ro'=subs(r^2=R^2,ro);