bigcirc
Represents a large circle operator commonly used in mathematical notation for binary operations and set theory.
Overview
Serves as a versatile mathematical symbol that appears frequently in abstract algebra, set theory, and theoretical computer science to denote binary operations or specialized compositions.
- Often used to represent circle operations or specialized product notations
- Appears in group theory and algebraic structures
- Useful in formal logic and discrete mathematics when defining custom binary operations
- Distinguished from smaller circle operators by its larger size and clearer visibility in complex expressions
Examples
Representing composition of functions in abstract algebra.
f \bigcirc g(x) = f(g(x))Denoting a binary operation in group theory.
(G, \bigcirc) \text{ is a group}Indicating a large circle operation in set theory.
A \bigcirc B = \{x \bigcirc y : x \in A, y \in B\}