ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Binary cartesian set product
▼ Binary relation
▼ Map
▼ Operation
▼ N-operation
▼ Binary operation
▼ Enclosed binary operation
Definition D734
Complex conjugation operation
Formulation 0
Let $\mathbb{C}$ be the D372: Set of complex numbers.
The complex conjugation operation on $\mathbb{C}$ is the D20: Enclosed binary operation \begin{equation} \mathbb{C} \to \mathbb{C}, \quad (x, y) \mapsto (x, - y) \end{equation}