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Possible Answers:
SHUT.
Last seen on: –Daily Crossword Club Crossword Monday, 22 May 2023
–Daily Crossword Club Crossword Sunday, 21 May 2023
–Daily Boston Globe Crossword Sunday, April 9, 2023
Vulture Tuesday, January 24, 2023 Crossword Answers
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In mathematics, a subset of a given set is closed under an operation of the larger set if performing that operation on members of the subset always produces a member of that subset. For example, the natural numbers are closed under addition, but not under subtraction: 1 − 2 is not a natural number, although both 1 and 2 are.
Similarly, a subset is said to be closed under a collection of operations if it is closed under each of the operations individually.
The closure of a subset is the result of a closure operator applied to the subset. The closure of a subset under some operations is the smallest subset that is closed under these operations. It is often called the span (for example linear span) or the generated set.
Let S be a set equipped with one or several methods for producing elements of S from other elements of S.[note 1]A subset X of S is said to be closed under these methods, if, when all input elements are in X, then all possible results are also in X. Sometimes, one say also that X has the .mw-parser-output .vanchor>:target~.vanchor-text{background-color:#b1d2ff}closure property.