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Is the set of non-deterministic polynomial time (NP) problems closed under the operation of union?
Yes, the set of non-deterministic polynomial time (NP) problems is closed under the operation of union.
Is the set of nonregular languages closed under intersection?
No, the set of nonregular languages is not closed under intersection.
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.
True or false a set of instructions of how to turn on the computer would be considered an algorithm?
a set of instructions of how to turn on the computer would be considered an algorithm?
Is it true or false software is set of instructions that tells the computer how to perform certain tasks?
yes.
Is the set of non-deterministic polynomial time (NP) problems closed under the operation of union?
Yes, the set of non-deterministic polynomial time (NP) problems is closed under the operation of union.
The set of even numbers is closed under division?
No. 2/4 is not an even number.
What is always true about whole numbers?
They form a closed set under addition, subtraction or multiplication.
What is closed and not-closed under addition?
The set of even numbers is closed under addition, the set of odd numbers is not.
Is a rational number closed under addition?
No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.
Is the set of nonregular languages closed under intersection?
No, the set of nonregular languages is not closed under intersection.
Are the set of rational numbers closed under addition?
Yes, the set is closed.
Is the set of real numbers closed under addition?
Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.
Are any of these sets closed under multiplication?
To determine if a set is closed under multiplication, we need to check if the product of any two elements from the set is also an element of the same set. For example, the set of integers is closed under multiplication because the product of any two integers is always an integer. In contrast, the set of natural numbers is also closed under multiplication, while the set of rational numbers is closed under multiplication as well. However, sets like the set of positive integers and the set of even integers are also closed under multiplication.
Is this set of negative numbers closed under multiplication or addition?
Yes. The empty set is closed under the two operations.
ARe odd integers not closed under addition?
That is correct, the set is not closed.
Is the collection of integers closed under subraction?
Yes, the set of integers is closed under subtraction.
