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
▼ Cartesian product
▼ Complex cartesian product
▼ Real cartesian product
▼ Euclidean real Cartesian product
Definition D372
Set of complex numbers
Formulation 0
Let $\mathbb{R}$ be the D282: Set of real numbers.
The set of complex numbers is the D11: Set \begin{equation} \mathbb{C} : = \mathbb{R} \times \mathbb{R} \end{equation}
Formulation 1
Let $\mathbb{R}$ be the D282: Set of real numbers.
The set of complex numbers is the D11: Set \begin{equation} \mathbb{C} : = \mathbb{R}^2 \end{equation}
Children
▶ D371: Imaginary number