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The Maxima on-line user's manual

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Conjugate Calculator

Conjugate

Function: conjugate (<x>) Returns the complex conjugate of <x>.

declare(r,real);
declare(t,real);
a:K1*r*exp(%i*t)+K2*r**2*exp(%i*2*t)+K3*r**3*exp(%i*3*t);
Bt:diff(a,r);
Br:diff(a,t)/r;
factor(Bt*conjugate(Bt)+Br*conjugate(Br));

          (%i1) declare ([aa, bb], real, cc, complex, ii, imaginary);

          (%o1)                         done
          (%i2) conjugate (aa + bb*%i);

          (%o2)                      aa - %i bb
          (%i3) conjugate (cc);

          (%o3)                     conjugate(cc)
          (%i4) conjugate (ii);

          (%o4)                         - ii
          (%i5) conjugate (xx + yy);

          (%o5)             conjugate(yy) + conjugate(xx)

(%o1)                                true
(%i2) 

Conjugate Example

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