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equivalence_class [2013/09/02 23:21] nikolaj |
equivalence_class [2014/03/21 11:11] 127.0.0.1 external edit |
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===== Equivalence class ===== | ===== Equivalence class ===== | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#88DDEE: $X$ | | + | | @#55CCEE: context | @#55CCEE: $X$ | |
- | | @#88DDEE: $x\in X$ | | + | | @#55CCEE: context | @#55CCEE: $x\in X$ | |
- | | @#88DDEE: $\sim\in\text{Equiv}(X) $ | | + | | @#55CCEE: context | @#55CCEE: $\sim\in\text{Equiv}(X) $ | |
- | | @#FFBB00: $ y\in [x]_\sim $ | | + | | @#FFBB00: definiendum | @#FFBB00: $ y\in [x]_\sim $ | |
- | | @#55EE55: $y\sim x$ | | + | | @#55EE55: postulate | @#55EE55: $y\sim x$ | |
==== Ramifications ==== | ==== Ramifications ==== | ||
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=== Reference === | === Reference === | ||
Wikipedia: [[http://en.wikipedia.org/wiki/Equivalence_class|Equivalence class]] | Wikipedia: [[http://en.wikipedia.org/wiki/Equivalence_class|Equivalence class]] | ||
- | ==== Context ==== | + | ==== Parents ==== |
- | === Requirements === | + | === Context === |
[[Equivalence relation]] | [[Equivalence relation]] |