Complex Number
complex number
$a+bi$
a+bi
The imaginary unit is commonly denoted by "i."
real part
$\oldRe x$
\Re x
It is derived from the term "real part."
real part 2
$\require{physics} \Re x$
\require{physics} \Re x
When using the "physics" extension, the text is represented in Roman font.
imaginary part
$\oldIm x$
\Im x
It is derived from the term "imaginary part."
imaginary part 2
$\require{physics} \Im x$
\require{physics} \Im x
When using the "physics" extension, the text is represented in Roman font.
complex conjugate
$\bar{z}$
\bar{z}
A line placed above a complex number represents its complex conjugate.
argument
$\arg (z)$
\arg (z)
It is derived from the concept of the argument.
cube roots of 1
$\omega$
\omega
The Greek letter "omega" is sometimes used to represent the cube root of 1.
complex number sample
$\begin{eqnarray} z\bar{z} = |z|^2 \end{eqnarray}$
\begin{eqnarray}
z\bar{z} = |z|^2
\end{eqnarray}