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)
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—Terri Apter (20th century)