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I am searching for a relation on the real numbers. This relation should be NOT antisymmetric and NOT transitive.

I found a relation, which is antisymmetric and transitive. ( <= relation)

Which relation on the real numbers is NOT antisymmetric and NOT transitive?

basti12354
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    This question appears to be off-topic because it is about math. Ask on the mathematics exchange. – JWWalker Oct 29 '14 at 20:43
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    I'm voting to close this question as off-topic because it is about mathematics, not programming. – Pang Apr 11 '15 at 02:24

1 Answers1

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Try x R y <=> |x - y| = 1.

It is not antisymmetric because 0 R 1 and 1 R 0.

It is not transitive because 0 R 1 and 1 R 2 but not 0 R 2.

Timothy Shields
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