Definition:Complex Conjugate

Definition
Let $z = a + i b$ be a complex number.

Then the (complex) conjugate of $z$ is denoted $\overline z$ and is defined as:


 * $\overline z := a - i b$

That is, you get the complex conjugate of a complex number by negating its imaginary part.

Also see

 * Complex Number equals Conjugate iff Wholly Real


 * Definition:Conjugate Pair