In linear algebra and related areas of mathematics a balanced set, circled set or disk in a vector space (over a field K with an absolute value |.|) is a set S so that for all scalars α with |α| ≤ 1
where
The balanced hull or balanced envelope for a set S is the smallest balanced set containing S. It can be constructed as the intersection of all balanced sets containing S.
Read more about Balanced Set: Examples, Properties
Famous quotes containing the words balanced and/or set:
“[T]hat moment of evening when the light and the darkness are so evenly balanced that the constraint of day and the suspense of night neutralize each other, leaving absolute mental liberty. It is then that the plight of being alive becomes attenuated to its least possible dimensions.”
—Thomas Hardy (1840–1928)
“He that has his chains knocked off, and the prison doors set open to him, is perfectly at liberty, because he may either go or stay, as he best likes; though his preference be determined to stay, by the darkness of the night, or illness of the weather, or want of other lodging. He ceases not to be free, though the desire of some convenience to be had there absolutely determines his preference, and makes him stay in his prison.”
—John Locke (1632–1704)