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)

    The human mind is so complex and things are so tangled up with each other that, to explain a blade of straw, one would have to take to pieces an entire universe.... A definition is a sack of flour compressed into a thimble.
    Rémy De Gourmont (1858–1915)

    All experience teaches that, whenever there is a great national establishment, employing large numbers of officials, the public must be reconciled to support many incompetent men; for such is the favoritism and nepotism always prevailing in the purlieus of these establishments, that some incompetent persons are always admitted, to the exclusion of many of the worthy.
    Herman Melville (1819–1891)