Riemann Sphere - Extended Complex Numbers

The extended complex numbers consist of the complex numbers C together with ∞. The extended complex numbers may be written as C ∪ {∞}, and are often denoted by adding some decoration to the letter C, such as

Geometrically, the set of extended complex numbers is referred to as the Riemann sphere (or extended complex plane).

Read more about this topic:  Riemann Sphere

Famous quotes containing the words extended, complex and/or numbers:

    Only very slowly and late have men come to realize that unless freedom is universal it is only extended privilege.
    Christopher Hill (b. 1912)

    By “object” is meant some element in the complex whole that is defined in abstraction from the whole of which it is a distinction.
    John Dewey (1859–1952)

    Out of the darkness where Philomela sat,
    Her fairy numbers issued. What then ailed me?
    My ears are called capacious but they failed me,
    Her classics registered a little flat!
    I rose, and venomously spat.
    John Crowe Ransom (1888–1974)