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:
“I balanced all, brought all to mind,
The years to come seemed waste of breath,
A waste of breath the years behind
In balance with this life, this death.”
—William Butler Yeats (1865–1939)
“We find it easy to set limits when the issue is safety.... But 99 percent of the time there isn’t imminent danger; most of life takes place on more ambiguous ground, and children are experts at detecting ambivalence.”
—Cathy Rindner Tempelsman (20th century)