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:
“With a balanced combination of the two principal energies from mother and father, a girl can both be in touch with her womanly strengths and be a powerful force in the world—strong and nurturing, decisive and caring, goal- oriented and aware of the needs of others. She has the courage to voice what she thinks and feels and the strength to follow her destiny.”
—Jeanne Elium (20th century)
“I can add colors to the chameleon,
Change shapes with Proteus for advantages,
And set the murderous Machiavel to school.”
—William Shakespeare (1564–1616)