Symbols:Bar

Bar

$\overline z$

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

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

$\overline z := a - i b$

The $\LaTeX$ code for $\overline z$ is \overline z .

$\overline x$

Let $S = \set {x_1, x_2, \ldots, x_n}$ be a random sample from a population.

The sample mean of $S$ is defined and denoted as:

$\overline x = \ds \sum \dfrac {x_i} n$

The $\LaTeX$ code for $\overline x$ is \overline x .

A vinculum is a line drawn over terms in parenthesis:

$\overline {a + b}$

The $\LaTeX$ code for $\overline {a + b}$ is \overline {a + b} .

The $\LaTeX$ code for $\bar {x}$ is \bar {x} or \overline {x}.

When either of the arguments is a single character, it is usual to omit the braces:

\bar x or \overline x

Note that \overline x is preferred on $\mathsf{Pr} \infty \mathsf{fWiki}$, as it expands to cover the entire argument.

Compare:

$\bar \omega$, produced by \bar \omega

with:

$\overline \omega$, produced by \overline \omega.