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image [2013/05/20 00:01]
nikolaj
image [2013/09/06 23:13]
nikolaj
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 ===== Image ===== ===== Image =====
 ==== Definition ==== ==== Definition ====
-| $ R $ |+@#​88DDEE: ​$ R\in \text{Rel}(X,​Y) ​$ |
  
-| $ \forall_R c\ \exists a,b\ (c=\langle a,b\rangle) $ |+@#​55EE55: ​y\in \mathrm{im}(R) $ |
  
->This is quite general. Might be that we can just restrict this to actual relations (the "​smaller"​ set constructor) +| @#​55EE55: ​$ \exists x\ (\langle x,y \rangle \in R) $ |
- +
-^ $ y\in \mathrm{im}(R) $ ^ +
- +
-$ \exists x\ (\langle x,y \rangle \in R) $ ^+
  
 ==== Ramifications ==== ==== Ramifications ====
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 Wikipedia: [[http://​en.wikipedia.org/​wiki/​Image_%28mathematics%29|Image]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Image_%28mathematics%29|Image]]
  
-==== Context ​==== +==== Parents ​==== 
-Set constructor +=== Requirements ​=== 
-=== Parents ​=== +[[Binary relation]]
-[[Ordered pair]]+
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