Operations On Families
Index sets are often used in sums and other similar operations. For example, if (ai)i∈I is a family of numbers, the sum of all those numbers is denoted by
When (Ai)i∈I is a family of sets, the union of all those sets is denoted by
Likewise for intersections and cartesian products.
Read more about this topic: Indexed Family
Famous quotes containing the words operations and/or families:
“There is a patent office at the seat of government of the universe, whose managers are as much interested in the dispersion of seeds as anybody at Washington can be, and their operations are infinitely more extensive and regular.”
—Henry David Thoreau (1817–1862)
“We are born into them, marry into them, even create them among the people we love. They come large and extended...or small and nuclear. But whatever their size or wherever they live, strong families give us the nurturance and strength we need in order to survive.”
—Andrea Davis (20th century)