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Yes, the set of non-deterministic polynomial time (NP) problems is closed under the operation of union.

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AnswerBot

5mo ago

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Related Questions

What does it mean for a polynomial to be closed under addition subtraction and multiplication?

It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.


Are polynomial expressions closed under addition?

Yes.


Are polynomial expressions closed under subtraction?

Yes they are closed under multiplication, addition, and subtraction.


Are polynomial expressions closed under multiplication?

Yes, because there is no way of multiplying two polynomials to get something that isn't a polynomial.


Why are polynomials not closed under division?

Polynomials are not closed under division because dividing one polynomial by another can result in a quotient that is not a polynomial. Specifically, when a polynomial is divided by another polynomial of a higher degree, the result can be a rational function, which includes terms with variables in the denominator. For example, dividing (x^2) by (x) gives (x), a polynomial, but dividing (x) by (x^2) results in (\frac{1}{x}), which is not a polynomial. Thus, the closure property does not hold for polynomial division.


Why is zero not closed under the operation of whole numbers?

A set can be closed or not closed, not an individual element, such as zero. Furthermore, closure depends on the operation under consideration.


Is the CFL closed under union operation?

Yes, the Canadian Football League (CFL) is not closed under union operation.


Under which operation are natural numbers closed?

Addition.


What is closed control?

In industry closed control is a closed loop feedback where a pump or motor has an encoder or feedback device to keep the operation regulated.


Under which operation is the set of odd integers closed?

addition


Are natural numbers closed under the operation of multiplicaton?

yes


Are rational numbers closed under subtraction operation?

Yes, they are.