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A left curly brace delimiter used to denote sets, sequences, or function definitions in mathematics.

\lbrace image

Examples

Set notation with explicit elements

A = \lbrace x, y, z \rbrace

Set builder notation

S = \lbrace x \in \mathbb{R} : x > 0 \rbrace

Function definition by cases

f(x) = \begin{cases} x^2 & \text{if } x \geq 0 \\ -x^2 & \text{if } x < 0 \end{cases}