circ
Represents a small circle operator used for function composition and binary operations in mathematics.
Overview
Serves as a versatile mathematical symbol with multiple applications across different mathematical contexts:
- Most commonly used to denote function composition in advanced algebra and analysis (e.g., f ∘ g).
- Appears in geometric contexts to represent degree measurements (e.g., 90°).
- Used in abstract algebra to denote binary operations or special product notations.
- Found in category theory to indicate morphism composition.
Particularly prevalent in higher mathematics, computer science, and theoretical physics where precise notation for operations and compositions is essential.
Examples
Composition of functions f and g.
f \circ g(x) = f(g(x))Angle measure in degrees.
\alpha = 45^{\circ}Circle product operation in group theory.
a \circ b = ab + ba