isin
Denotes set membership, indicating that an element belongs to a specified set in mathematical notation.
Overview
Essential for expressing mathematical relationships in set theory, abstract algebra, and general mathematical proofs.
- Commonly used in defining mathematical sets and their properties
- Appears frequently in formal mathematical definitions and theorems
- Fundamental in discrete mathematics and computer science for describing data structures
- Often paired with other set notation symbols for complex set relationships
Examples
Expressing set membership for a single element.
x \isin \mathbb{R}Stating that a number belongs to a specific interval.
y \isin [0,1]Defining membership in a set using set-builder notation.
z \isin \{x : x > 0 \text{ and } x < 5\}