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The main difference between Kaleen closure and positive closure is; the positive closure does not contains the null, but Kaleen closure can contain the null.
it is the closure of the set
No. Closure is the property of a set with respect to an operation. You cannot have closure without a defined set and you cannot have closure without a defined operation.
Examples of the purpose of closure in math
A king closure is a brick cut to bond in a corner of brickwork, a brick with a corner cut off.