Bounded Set
In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size. Conversely, a set which is not bounded is called unbounded. The word bounded makes no sense in a general topological space, without a metric.
Read more about Bounded Set: Definition, Metric Space, Boundedness in Topological Vector Spaces, Boundedness in Order Theory
Famous quotes containing the words bounded and/or set:
“Me, what’s that after all? An arbitrary limitation of being bounded by the people before and after and on either side. Where they leave off, I begin, and vice versa.”
—Russell Hoban (b. 1925)
“He could walk, or rather turn about in his little garden, and feel more solid happiness from the flourishing of a cabbage or the growing of a turnip than was ever received from the most ostentatious show the vanity of man could possibly invent. He could delight himself with thinking, “Here will I set such a root, because my Camilla likes it; here, such another, because it is my little David’s favorite.””
—Sarah Fielding (1710–1768)