Re is a function of a complex variable and is therefore not differentiable: As a complex function, it is not possible to write Re [ z ] without involving Conjugate [ z ] : In particular, the limit that defines the derivative is direction dependent and therefore does not exist:

The number a is called the real part of z: Re z while b is called the imaginary part of z: Im z. Two complex numbers are equal if and only if their real parts are

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