Title:
+ 03 ÄquivalenzklassenType:
+Tags:
Math, Set TheoryURL:
https://www.youtube.com/watch?v=9d4NY_c3ttgChannel/Host:
einfachMatheReference:
Publish Date:
2016-01-25Reviewed Date:
2022-04-18
Definition
Let
be an Equivalence Relation on the set . For a given we call the equivalence class of . Representatives
An element
is called a representative of with Theorem
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- this follows by definition of Equivalence Relation - If
then or .
Examples
Let
and if is divisible by 2 (i.e. the difference is an even number):
𝕫 Let
and if , i.e.
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