▾ Set of symbols
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▾ Zermelo-Fraenkel set theory
▾ Set
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▾ Unsigned function
▾ Unsigned Realll func function
▾ Complex euclidean P-length function
▾ Euclidean P-length function
▾ Euclidean length function
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}