Our assumption is Y is a non-empty set and we denote ~ be an equivalence relation on Y. We let W be the set of distinct equivalence classes given by ~. prove that elements of E are disjoint and their union is all of X.
please help. thank you.
2006-09-26 08:36:02 · 3 answers · asked by David F 2 in Science & Mathematics ➔ Mathematics
If an element, say a is in class C1 and C2, then for any c1 in C1 and c2 in C2 then c1~e~c2 means that c1~c2 by transitivity. So C1=C2.
If there is an element not in any of your classes, put it into its own class.
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2006-09-26 10:32:13 · answer #1 · answered by Theodore R 2 · 0⤊ 0⤋
You need to define E in relation to W or Y before this question can be answered.
2006-09-26 15:51:25 · answer #2 · answered by ohmneo 3 · 0⤊ 0⤋
What's E? What's X?
The question doesn't say.
2006-09-26 15:48:25 · answer #3 · answered by Demiurge42 7 · 0⤊ 0⤋