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
▼ Function
▼ Unsigned function
▼ Unsigned Realll func function
▼ Complex euclidean P-length function
▼ Euclidean P-length function
▼ Euclidean length function
Definition D1210
Complex modulus function
Formulation 1
Let $\mathbb{C} = \mathbb{R}^2$ be the D372: Set of complex numbers.
The complex modulus function is the D4365: Unsigned Realll func function \begin{equation} \mathbb{C} \to [0, \infty), \quad (x, y) \mapsto \sqrt{x^2 + y^2} \end{equation}