Sets and Groups
Curly brackets { } are used to identify the elements of a set: {a,b,c} denotes a set of three elements.
Angle brackets are used in group theory to write group presentations, and to denote the subgroup generated by a collection of elements.
Read more about this topic: Bracket (mathematics)
Famous quotes containing the words sets and/or groups:
“In the beautiful, man sets himself up as the standard of perfection; in select cases he worships himself in it.... Man believes that the world itself is filled with beauty—he forgets that it is he who has created it. He alone has bestowed beauty upon the world—alas! only a very human, an all too human, beauty.”
—Friedrich Nietzsche (1844–1900)
“In America every woman has her set of girl-friends; some are cousins, the rest are gained at school. These form a permanent committee who sit on each other’s affairs, who “come out” together, marry and divorce together, and who end as those groups of bustling, heartless well-informed club-women who govern society. Against them the Couple of Ehepaar is helpless and Man in their eyes but a biological interlude.”
—Cyril Connolly (1903–1974)