Differences
This shows you the differences between two versions of the page.
|
pre-image [2013/09/06 22:04] 127.0.0.1 external edit |
pre-image [2014/03/21 11:11] |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| - | ===== Pre-image ===== | ||
| - | ==== Definition ==== | ||
| - | Pre-image of the function $f$ w.r.t the codomain subset $Z$. | ||
| - | | @#88DDEE: $ Z $ | | ||
| - | | @#88DDEE: $ f\in X^Y $ | | ||
| - | |||
| - | | @#55EE55: $ x\in f^{-1}(Y) $ | | ||
| - | |||
| - | | @#55EE55: $ f(x)\in Z $ | | ||
| - | |||
| - | ==== Ramifications ==== | ||
| - | === Reference === | ||
| - | Mizar files: [[http://mizar.org/JFM/Vol1/funct_1.html|FUNCT_1]] | ||
| - | |||
| - | Wikipedia: [[http://en.wikipedia.org/wiki/Image_%28mathematics%29|Image]] | ||
| - | |||
| - | ==== Parents ==== | ||
| - | Set constructor | ||
| - | === Context === | ||
| - | [[Function]] | ||
