In mathematics, the union of two or more sets is a new set that contains all the distinct elements of the original sets. The union of sets is represented by the symbol ∪. For example, if we have two sets A = {1, 2, 3} and B = {2, 3, 4}, then the union of A and B is a new set C = {1, 2, 3, 4}.
The union of sets is an important concept in set theory and has many applications in different areas of mathematics and computer science. It is used, for example, to define the concept of a partition, which is a collection of non-empty, mutually exclusive sets whose union is the entire set. It is also used in set operations like intersection, difference, and complement.
One important property of the union of sets is that it is commutative and associative, which means that the order of the sets in the union does not matter, and it does not matter how many sets are being unioned. For example, the union of sets A, B, and C can be written as A ∪ B ∪ C or C ∪ A ∪ B.
Overall, the union of sets is a fundamental concept in mathematics that helps us to combine and compare different collections of objects. It is an essential tool for solving many mathematical problems and is used in many different areas of mathematics and computer science.
fun main() {
val set1 = setOf(1, 2, 3)
val set2 = setOf(3, 4, 5)
val union = set1.union(set2)
println("Union of Set 1 and Set 2: $union")
}This program creates two sets, set1 and set2, which contain integer elements. It then uses the union function to compute the union of the two sets and stores the result in a new set called union. Finally, the program prints out the contents of the union set.
The union function is a built-in function of the Kotlin standard library that takes another set as a parameter and returns a new set containing all elements from both sets without duplicates. In this code, it is used to merge the elements of set1 and set2 into a new set that contains all the unique elements from both sets.