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:

    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)

    I do not set my life at a pin’s fee,
    And for my soul, what can it do to that,
    Being a thing immortal as itself?
    William Shakespeare (1564–1616)