Bounded Set

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)

    Nothing comes to pass in nature, which can be set down to a flaw therein; for nature is always the same and everywhere one and the same in her efficiency and power of action; that is, nature’s laws and ordinances whereby all things come to pass and change from one form to another, are everywhere and always; so that there should be one and the same method of understanding the nature of all things whatsoever, namely, through nature’s universal laws and rules.
    Baruch (Benedict)