Yes, the set of non-deterministic polynomial time (NP) problems is closed under the operation of union.
Yes, the Canadian Football League (CFL) is not closed under union operation.
Having a closed under composition set in abstract algebra is significant because it means that when two elements in the set are combined using the operation defined, the result will also be an element in the set. This property is important for ensuring that the set forms a mathematical structure that follows the rules of the operation consistently.
What is a closed standards in computer network?
Yes, decidable languages are closed under concatenation.
Yes, decidable languages are closed under intersection.
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.
Yes.
Yes they are closed under multiplication, addition, and subtraction.
Yes, because there is no way of multiplying two polynomials to get something that isn't a polynomial.
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.
A set can be closed or not closed, not an individual element, such as zero. Furthermore, closure depends on the operation under consideration.
Yes, the Canadian Football League (CFL) is not closed under union operation.
Addition.
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.
addition
yes
Yes, they are.