: Mathématiques: complement

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complement

In set theory, the complement of a set $A$ , often denoted by ${\\displaystyle A^{\\complement }}$ (or $A'$ ), is the set of elements not in $A$ . When all elements in the universe, i.e. all elements under consideration, are considered to be members of a given set $U$ , the absolute complement of $A$ is the set of elements in $U$ that are not in $A$ . The relative complement of $A$ with respect to a set $B$ , also termed the set difference of $B$ and $A$ , written ${\\displaystyle B\\setminus A,}$ is the set of elements in $B$ that are not in $A$ .
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Complement_(set_theory))

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