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:
“The civility which money will purchase, is rarely extended to those who have none.”
—Charles Dickens (1812–1870)
“Power is not an institution, and not a structure; neither is it a certain strength we are endowed with; it is the name that one attributes to a complex strategical situation in a particular society.”
—Michel Foucault (1926–1984)
“... there are persons who seem to have overcome obstacles and by character and perseverance to have risen to the top. But we have no record of the numbers of able persons who fall by the wayside, persons who, with enough encouragement and opportunity, might make great contributions.”
—Mary Barnett Gilson (1877–?)