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:
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—Margaret Mead (1901–1978)
“To set up as a standard of public morality a notion which can neither be defined nor conceived is to open the door to every kind of tyranny.”
—Simone Weil (1909–1943)