Complex Conjugate
If z=a+ib then the complex conjugate of z is given by z*=a-ib.
The complex conjugate has some interesting properties:
z×z*=(a+ib)×(a-ib)=a2+iab-iab-b2i2=a2+b2
I.e. The product of a complex number and its conjugate is a REAL number. This fact is used in division of complex numbers when we 'realise' the denominator.