154k views
3 votes
Suppose we have sets of integers S and T, and we have corresponding Java objects of type Set named s and t. Is itequivalent? S ∪ T and s.addAll(t)

User Cody Brown
by
7.3k points

1 Answer

3 votes

Final answer:

The Java method call s.addAll(t) is equivalent to the union of sets S and T in mathematics, but it modifies the set s, unlike the mathematical operation that creates a new set.

Step-by-step explanation:

When you have sets of integers S and T, and corresponding Java Set objects named s and t, the mathematical operation S ∪ T (the union of S and T) is conceptually equivalent to the Java method call s.addAll(t). However, there is an important detail to consider: The addAll method modifies the set s by adding all elements from set t that are not already present in s. The result is that the contents of s after the method call will represent the union of the two sets, but the original set s is changed in the process. If we compare this to the mathematical operation, the union creates a new set without modifying the original sets. Therefore, for them to be perfectly equivalent, we must not mind altering the contents of set s.

User Shoan
by
8.4k points

No related questions found