Definition:Complex Number/Real Part

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

The real part of $z$ is the coefficient $a$.

The real part of a complex number $z$ is usually denoted on by $\operatorname{Re} \left({z}\right)$.

Also denoted as
Variants of $\operatorname{Re} \left({z}\right)$ that can often be found are:


 * $\Re \left({z}\right)$
 * $\operatorname {\mathscr R} \left({z}\right)$
 * $\operatorname {re} \left({z}\right)$
 * $\operatorname {\mathfrak{Re} } \left({z}\right)$