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:
“I could be bounded in a nutshell and count myself a king of
infinite space, were it not that I have bad dreams.”
—William Shakespeare (1564–1616)
“A more secret, sweet, and overpowering beauty appears to man when his heart and mind open to the sentiment of virtue. Then he is instructed in what is set above him. He learns that his being is without bound; that to the good, to the perfect, he is born, low as he now lies in evil and weakness.”
—Ralph Waldo Emerson (1803–1882)