Mathematics-Online lexicon: Inverse Mapping

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	Mathematics-Online lexicon:
	Inverse Mapping

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

For a bijective map $f:A\to B$ , the inverse map $f^{-1}:B\to A$ is defined by

$\displaystyle b=f(a) \Leftrightarrow a = f^{-1}(b) \quad .$

$\includegraphics[width=10cm]{inverse_Bild}$

In particular, we have $a = f^{-1}(f(a))$ , which means that $f^{-1}\circ f$ is the identical map.

(Authors: Höllig/Knesch/Abele)

automatically generated 6/11/2007