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Is the CFL closed under union operation?
Yes, the Canadian Football League (CFL) is not closed under union operation.
What is the significance of having a closed under composition set in abstract algebra?
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?
What is a closed standards in computer network?
Are decidable languages closed under concatenation?
Yes, decidable languages are closed under concatenation.
Are decidable languages closed under intersection?
Yes, decidable languages are closed under intersection.
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.
