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


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 SetExamples, Properties

Other articles related to "balanced set, balanced sets, balanced, set":

Balanced Set - Properties
... The union and intersection of balanced sets is a balanced set ... The closure of a balanced set is balanced ... By definition (not property), a set is absolutely convex if and only if it is convex and balanced ...

Famous quotes containing the words set and/or balanced:

    And that enquiring man John Synge comes next,
    That dying chose the living world for text
    And never could have rested in the tomb
    But that, long travelling, he had come
    Towards nightfall upon certain set apart
    In a most desolate stony place....
    William Butler Yeats (1865–1939)

    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)