Q: What is the closure of the set?

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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.

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 closure property is an attribute of a set with respect to a binary operation, not only a binary operation. A set S is closed with respect to multiplication if, for any two elements, x and y, belonging to S, x*y also belongs to S.

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.

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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.

In the context of sets, closure implies that the limiting value of the extremum of the set is itself an element of the set.

The concept of closure: If A and B are sets the intersection of sets is a set. Then if the intersection of two sets is a set and that set could be empty but still a set. The same for union, a set A union set Null is a set by closure,and is the set A.

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

The closure property of addition says that if you add together any two numbers from a set, you will get another number from the same set. If the sum is not a number in the set, then the set is not closed under addition.

I know if the set A , the closure of A is connected sure A also connected but the converse Iam not sure

If a set has closure with regards to certain operations then any solution that is obtained using those operations must belong to that set.

In mathematics, closure is a property of a set, S, with a binary operator, ~, defined on its elements.If x and y are any elements of S then closure of S, with respect to ~ implies that x ~ y is an element of S.The set of integers, for example, is closed with respect to multiplication but it is not closed with respect to division.

Not much... sorry

To give the set closure with respect to subtraction, or to give it an additive identity.

No. Consider the set of odd integers.

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