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)
“It’s a complex fate, being an American, and one of the responsibilities it entails is fighting against a superstitious valuation of Europe.”
—Henry James (1843–1916)
“Publishers are notoriously slothful about numbers, unless they’re attached to dollar signs—unlike journalists, quarterbacks, and felony criminal defendents who tend to be keenly aware of numbers at all times.”
—Hunter S. Thompson (b. 1939)