ℂ

Complex quadrance

The quadrance 𝑄(𝑧) of a complex number 𝑧 ∈ℂ is the square of its euclidean norm #m/def/gen

𝑄(𝑧)=𝑧∗𝑧=|𝑧|2

This makes ℂ a quadratic space over ℝ.

Properties

  1. 𝑄(𝑤𝑧) =𝑄(𝑤)𝑄(𝑧)

#state/tidy | #lang/en | #SemBr