Equivalence Relations Definition and Examples

great examples

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If bRa and aRb does it imply that a=b?

Waste examples

worst video

Thanks

you showed an example but didn't bother explaining it

great examples. thank you.

Great video, helped me a lot.
Thanks!

Thank you for the video but I wish you would have explained why each problem was Reflexive, Symmetric, or transitive. That would have made everything clearer

you didn't go through each example, you just said "it turns out" that each case was either reflexive, symmetric, or transitive. This video doesn't help because there are steps left out of how you determined each to be reflexive, symmetric, etc.

I have a question, What does S1, S2, S3 have to be? Just any element of the Set S? Also, do all the elements of a set have to follow the equivalence relation?

I think that it is transitive in the example with S=(complex numbers). Right?

Let A = Z and let R = {(x, y): x, y ∈ A, x2 = y2}. Prove that R is an equivalence relation

good examples

Great video :)

Thank you! Great examples.

watch on x1.25 speed

in the example with S=(complex numbers) surely it is transitive because if x is not = to y and y is not = to z then x is not = to z

For the last example, where can i find the proof that you referenced? In the other video? Can't seem to find it. Thanks

How do you prove that the congruence modulo is an equivalence relation?

Good video! Thanks!