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:
“A sociosphere of contact, control, persuasion and dissuasion, of exhibitions of inhibitions in massive or homeopathic doses...: this is obscenity. All structures turned inside out and exhibited, all operations rendered visible. In America this goes all the way from the bewildering network of aerial telephone and electric wires ... to the concrete multiplication of all the bodily functions in the home, the litany of ingredients on the tiniest can of food, the exhibition of income or IQ.”
—Jean Baudrillard (b. 1929)
“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)