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This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.
Set 3-1 has three possible versions: [0 1 1 1 2 T], [0 1 1 T E 1], and [0 T T 1 E 1], where the subscripts indicate adjacency intervals.The normal form is the smallest "slice of pie" (shaded) or most compact form, in this case: [0 1 1 1 2 T].
The algebra of sets is the set-theoretic analogue of the algebra of numbers. Just as arithmetic addition and multiplication are associative and commutative, so are set union and intersection; just as the arithmetic relation "less than or equal" is reflexive, antisymmetric and transitive, so is the set relation of "subset".
The House rejected a Republican bill to avoid a government shutdown after President-elect Donald Trump, billionaire Elon Musk and the far-right blew up an earlier, bipartisan deal.
WASHINGTON (Reuters) -The U.S. budget deficit jumped nearly four-fold to $257 billion in October, a figure inflated by one-off factors, the Treasury Department said on Wednesday in a report that ...
In a new report on the massacre, the U.N. Office of the High Commissioner for Human Rights said at least 134 men and 73 women, most of them elderly residents accused of witchcraft, were killed in ...
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