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subset_complement [2013/06/07 23:24] nikolaj |
subset_complement [2013/08/04 17:45] nikolaj |
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==== Definition ==== | ==== Definition ==== | ||
| @#88DDEE: $Y$ | | | @#88DDEE: $Y$ | | ||
- | |||
| @#88DDEE: $X\subset Y$ | | | @#88DDEE: $X\subset Y$ | | ||
- | | @#55EE55: $ X^c $ | | + | | @#55EE55: $ X^c \equiv Y\smallsetminus X $ | |
- | + | ||
- | | @#55EE55: $ Y\smallsetminus X $ | | + | |
Notice that the notation $ X^c $ doesn't actually denote the bigger set $Y$. It is supposed to be stated or known from the context. | Notice that the notation $ X^c $ doesn't actually denote the bigger set $Y$. It is supposed to be stated or known from the context. | ||
==== Ramifications ==== | ==== Ramifications ==== | ||
- | |||
- | >todo | ||
- | |||
- | | @#FF0F0F: $---$ | | ||
- | |||
=== Reference === | === Reference === | ||
Wikipedia: [[http://en.wikipedia.org/wiki/Complement_%28set_theory%29|Complement]] | Wikipedia: [[http://en.wikipedia.org/wiki/Complement_%28set_theory%29|Complement]] | ||
==== Context ==== | ==== Context ==== | ||
+ | Parameterized set | ||
=== Parents === | === Parents === | ||
[[Complement]] | [[Complement]] |