In LaTeX, creating brackets is straightforward, and there are several options depending on your needs. Here’s a comprehensive guide:
Basic Brackets and Parentheses
You can use ordinary keyboard symbols for the most common types:
- Parentheses:
( )
are created simply by typing(2 + 3)
which will render as (2 + 3). - Brackets (Square Brackets):
[ ]
are generated by typing[3 + 7]
which results in [3 + 7].
Curly Braces
Curly braces are special characters in LaTeX and need to be escaped:
- Curly Braces: To create
{
and}
, use\{
and\}
respectively. For example,\{a, b, c\}
will output {a, b, c}.
Important Note on Scaling
The basic symbols for parentheses, brackets, and curly braces do not automatically adjust their size to match the content they contain. This means that they may look too small when used with larger expressions or fractions.
Scaling Brackets with \left
and \right
To ensure that the brackets scale appropriately with the content they enclose, use the commands \left
and \right
:
- Usage: Place
\left
before the opening bracket or brace, and\right
before the closing bracket or brace.- For example,
\left( \frac{x}{y} \right)
will produce a parenthesis that scales with the fraction. - Similarly,
\left[ \sum_{i=1}^{n} i \right]
will scale square brackets. - And
\left\{ x, y, z \right\}
will scale curly braces.
- For example,
- Matching: Every
\left
command must have a corresponding\right
command. If you need only one bracket (e.g., in a piecewise function), use a period (.
) as a placeholder. For example,\left. \frac{1}{x} \right]
will only show the right square bracket.
Summary Table
Bracket Type | LaTeX Code | Output | Scalable |
---|---|---|---|
Parentheses | ( ) |
( ) | No |
Brackets | [ ] |
[ ] | No |
Curly Braces | \{ \} |
{ } | No |
Scaled Parens | \left( \right) |
( ) | Yes |
Scaled Brackets | \left[ \right] |
[ ] | Yes |
Scaled Curly Braces | \left\{ \right\} |
{ } | Yes |
Practical Insights
- Using
\left
and\right
is highly recommended for visually consistent and professional-looking documents, especially when working with complex mathematical formulas. - Remember that you can use
\left
and\right
with any of the bracket types (( )
,[ ]
, and\{ \}
). - Always ensure the
\left
and\right
pairs are correctly matched to avoid errors.