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)
“All propaganda or popularization involves a putting of the complex into the simple, but such a move is instantly deconstructive. For if the complex can be put into the simple, then it cannot be as complex as it seemed in the first place; and if the simple can be an adequate medium of such complexity, then it cannot after all be as simple as all that.”
—Terry Eagleton (b. 1943)
“I had but three chairs in my house; one for solitude, two for friendship; three for society. When visitors came in larger and unexpected numbers there was but the third chair for them all, but they generally economized the room by standing up.”
—Henry David Thoreau (1817–1862)