Grouping Expressions

Delimiters

There’s plenty of delimiters or grouping symbols that you can use:
- For a full list, see Delimiters.

Delimiter Name	Left Variant	Right Variant	Command (Left)	Command (Right)
Parentheses			`(` or `\lparen`	`)` or `\rparen`
Square Brackets			`[` or `\lbrack`	`]` or `\rbrack`
Curly Braces			`\{` or `\lbrace`	`\}` or `\rbrace`
Angled Brackets			`\langle`	`\rangle`
Ceiling			`\lceil`	`\rceil`
Floor			`lfloor`	`\rfloor`
Absolute Value*			`\lvert`	`\rvert`
Magnitude*			`\lVert`	`\rVert`

As for absolute value and magnitude, they can simply be written with the \vert and \Vert commands respectively.

Grouping Large Expressions

Often, we want to put larger expressions like fractions or radicals inside a delimiter, like a parenthesis.
- While the output may be valid to display something, it often doesn’t look good.
(\sqrt{ \frac{m^2}{pq^3} })^4

To enclose any large expression inside a parenthesis, we may use the \leftx...\rightx command.
- We first need to enclose our expression between the \leftx...\rightx command.
- Then, we need to specify the delimiter of our choice by replacing the x beside the \left and the \right command.
\left( \sqrt{ \frac{m^2}{pq^3} }\right)^4

This would let us auto-resize our delimiter of our choice based on the size of our expression.
- Since we are free to choose the delimiter for the left and right using \leftx...\rightx, we can customize it for displaying interval notation as well.
\left( -\infty, -\frac{\sqrt{ 2 }}{2} \right] \cap \left[ \frac{\sqrt{ 2 }}{2} , \infty \right)

We can also nest multiple \left...\right expressions inside, but make sure that for each instance of \left...\right, they must come in pairs, with delimiters in them.