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`\bigl`

, `\bigr`

, etc.Synopsis, one of:

\bigldelimiter1... \bigrdelimiter2\Bigldelimiter1... \bigrdelimiter2\biggldelimiter1... \biggrdelimiter2\Biggldelimiter1... \Biggrdelimiter2

(as with `\bigl[...\bigr]`

; strictly speaking they need not be
paired, see below), or one of:

\bigmdelimiter\Bigmdelimiter\biggmdelimiter\Biggmdelimiter

(as with `\bigm|`

), or one of:

\bigdelimiter\Bigdelimiter\biggdelimiter\Biggdelimiter

(as with `\big[`

).

Produce manually-sized delimiters. For delimiters that are automatically sized see \left & \right).

This produces slightly larger outer vertical bars.

\bigl| |x|+|y| \bigr|

The commands above are listed in order of increasing size. You can use
the smallest size such as `\bigl...\bigr`

in a paragraph without
causing LaTeX to spread the lines apart. The larger sizes are meant
for displayed equations.

See Delimiters, for a list of the common delimiters. In the family of
commands with ‘`l`’ and ‘`r`’, `delimiter1` and
`delimiter2` need not be the same.

The ‘`l`’ and ‘`r`’ commands produce open and close delimiters
that insert no horizontal space between a preceding atom and the
delimiter, while the commands without ‘`l`’ and ‘`r`’ insert some
space (because each delimiter is set as an ordinary variable). Compare
these two.

\begin{tabular}{l} \(\displaystyle \sin\biggl(\frac{1}{2}\biggr) \) \\ % good \(\displaystyle \sin\bigg(\frac{1}{2}\bigg) \) \\ % bad \end{tabular}

The traditional typographic treatment is on the first line. On the
second line the output will have some extra space between the
`\sin`

and the open parenthesis.

Commands without ‘`l`’ or ‘`r`’ do give correct spacing in
some circumstances, as with this large vertical line

\begin{equation} \int_{x=a}^b x^2\,dx = \frac{1}{3} x^3 \Big|_{x=a}^b \end{equation}

(many authors would replace `\frac`

with the `\tfrac`

command
from the `amsmath` package), and as with this larger slash.

\begin{equation} \lim_{n\to\infty}\pi(n) \big/ (n/\log n) = 1 \end{equation}

Unlike the `\left...\right`

pair (see \left & \right), the
commands here with ‘`l`’ and ‘`r`’ do not make a group.
Strictly speaking they need not be matched so you can write something
like this.

\begin{equation} \Biggl[ \pi/6 ] \end{equation}

The commands with ‘`m`’ are for relations, which are in the middle of
formulas, as here.

\begin{equation} \biggl\{ a\in B \biggm| a=\sum_{0\leq i<n}3i^2+4 \biggr\} \end{equation}