Simplifying Complex expressions in Matlab Symbolic Toolbox

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JXT119
JXT119 2022-4-14
评论： JXT119 2022-4-15
Is there any way of finding the real and imaginary part of an expression using a method similar to this one ?
syms x y xv yv T
z = complex(x, y);
zv = complex(xv,yv);
z_conj = complex(xv,-yv);
f(z) = (-T/(2*pi))*1i*log((z^2-zv^2)*(z^2-z_conj^2));
xv, yv and T are parameters.

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回答（1 个）

Steven Lord
Steven Lord 2022-4-14
Ran in:
Did you mean to assume that x, y, xv, yv, and/or T are real?
syms x1 y1 real
syms x2 y2
z1 = x1 + 1i*y1
z1 = 
z2 = x2 + 1i*y2
z2 = 
z1c = real(z1)
z1c = 
z2c = real(z2)
z2c = 
  1 个评论
JXT119
JXT119 2022-4-15
Yes, but I want to obtain a simplified expression of the form f(z) = g(x,y,xv,yv,T) + iH(x,y,xv,yv,T), but I do not know if Matlab Symbolic Toolbox is able to do so.

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