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:

$\Re \left({z}\right)$

$\operatorname{Re} \left({z}\right)$

$\operatorname{re} \left({z}\right)$

or a similar variant.

Sources

• Seth Warner: Modern Algebra (1965)... (previous)... (next): $\S 12$: Example $12.3$
• Donald E. Knuth: The Art of Computer Programming: Volume 1: Fundamental Algorithms (1968): $\S 1.2.2$