Balanced Set

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)