Prove-that-Sgn-0-0-

Question Number 207832 by Davidtim last updated on 28/May/24

P r o v e t h a t S g n (0) = 0

Commented by Davidtim last updated on 28/May/24

h e l p m e

Answered by Frix last updated on 28/May/24

\forall c \in C : sign c := \frac{c}{∣ c ∣} \Rightarrow sign 0 is not defined

The sign is the direction of a vector in the

Complex Plane .

sign (a + b i) = \frac{a + b i}{∣ a + b i ∣}; sign (r e^{i θ}) = e^{i θ}

The vector (\begin{matrix} 0 \\ 0 \end{matrix}) has no direction .

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