Differences
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restricted_image [2013/09/06 22:04] 127.0.0.1 external edit |
restricted_image [2014/03/21 11:11] |
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- | ===== Restricted image ===== | ||
- | ==== Definition ==== | ||
- | | @#88DDEE: $ f:X\to Y $ | | ||
- | | @#88DDEE: $ S\subseteq X $ | | ||
- | | @#55EE55: $ f(S)\equiv \mathrm{im}(f|_S) $ | | ||
- | |||
- | ==== Discussion ==== | ||
- | The notation $f(S)$ is overloading $f$, as $S$ is not actually in the domain $X$ of $f$. | ||
- | ==== Reference ==== | ||
- | Wikipedia: [[http://en.wikipedia.org/wiki/Image_%28mathematics%29|Image]] | ||
- | ==== Parents ==== | ||
- | === Subset of === | ||
- | [[Image]] | ||
- | === Requirements* === | ||
- | [[Restricted relation]] |