Complex numbers

Complex quadrance

The quadrance 𝑄(𝑧) of a complex number 𝑧 βˆˆβ„‚ is the square of its euclidean norm gen

𝑄(𝑧)=π‘§βˆ—π‘§=|𝑧|2

This makes β„‚ a quadratic space over ℝ.

Properties

  1. 𝑄(𝑀𝑧) =𝑄(𝑀)𝑄(𝑧)


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