Example of a locally constant function with sgn(x)

Autor/Urheber:

Stephan Kulla (User:Stephan Kulla)

Shortlink:

https://dewiki.de/b/18264b

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Wikimedia Commons

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731 x 551 Pixel (24282 Bytes)

Beschreibung:

This diagram shows that the function ${\displaystyle f:\mathbb {R} \setminus \{0\}\to \mathbb {R} :x\mapsto {\begin{cases}1&x>0\\-1&x<0\end{cases}}}$ is locally constant, i.e. for each argument there is a neighborhood where the function is constant.

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CC0

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