In functional analysis and related areas of mathematics the polar set of a given subset of a vector space is a certain set in the dual space.
Given a dual pair the polar set or polar of a subset of is a set in defined as
The bipolar of a subset of is the polar of . It is denoted and is a set in .
Read more about Polar Set: Properties, Geometry
Famous quotes containing the words polar and/or set:
“In time your relatives will come to accept the idea that a career is as important to you as your family. Of course, in time the polar ice cap will melt.”
—Barbara Dale (b. 1940)
“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)