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
Imaginary number