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)
“To divide one’s life by years is of course to tumble into a trap set by our own arithmetic. The calendar consents to carry on its dull wall-existence by the arbitrary timetables we have drawn up in consultation with those permanent commuters, Earth and Sun. But we, unlike trees, need grow no annual rings.”
—Clifton Fadiman (b. 1904)