Relations and functions

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5 Terms

1
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If R is a relation on some set A

then R is a relation from A to A.

2
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If R is a relation

then R-1 denotes the inverse relation of R.

3
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S ○ R

the composition of relations S and R. (We may write S ○ R or R; S.

4
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f: A →B

“f is a function from set A to set B”.

5
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[x]

the equivalence class of x with regard to some previously specified equivalence

relation.This class contains all elements that are related to x.