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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]] 
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