Given any elements x and y in a set and @ a binary operator,
x @ y is also an element of the set.
Chat with our AI personalities
The law of closure states that a set of numbers is closed under an operation if when the operation is performed on any two elements of the set the result is an element of the set
There is no law of closure. Closure is a property that some sets have with respect to a binary operation. For example, consider the set of even integers and the operation of addition. If you take any two members of the set (that is any two even integers), then their sum is also an even integer. This implies that the set of even integers is closed with respect to addition. But the set of odd integers is not closed with respect to addition since the sum of two odd integers is not odd. Neither set is closed with respect to division.
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.
Math is short for Mathematics. The definition of which is "the study of the measurement, properties, and relationships of quantities and sets, using numbers and symbols." See http://www.answers.com/topic/mathematics the complete definition and reference on mathematics.
it is the closure of the set