notin
Denotes that an element is not a member of a specified set, commonly used in mathematical set theory and logic.
Overview
Essential for expressing non-membership relationships in mathematical notation, particularly in set theory, abstract algebra, and formal logic.
- Frequently used in proofs and mathematical arguments to show exclusion from sets
- Common in discrete mathematics when describing complement sets
- Appears regularly in computer science contexts, especially in formal specifications and algorithm analysis
- Often paired with its opposite (∈) when describing set properties
Examples
Showing an element is not in a set.
x \notin \mathbb{R}^+Demonstrating non-membership in a specific set.
2 + 3i \notin \mathbb{R}Expressing that a number is not in a defined interval.
\pi \notin [0,1]