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:
“Crotchless trouser allows wearer to show private parts in public. Neoprene-coated nylon pack cloth is stain resistant, water repellent and tickles thighs when walking. Tan-olive shade goes with most fetishes. Adjustable straps attach to belt for good fit and easy up-down. Pant is suitable for fast exposures as well as extended engagements. One size fits all.”
—Alfred Gingold, U.S. humorist. Items From Our Catalogue, “Flasher’s Pants,” Avon Books (1982)
“All of life and human relations have become so incomprehensibly complex that, when you think about it, it becomes terrifying and your heart stands still.”
—Anton Pavlovich Chekhov (1860–1904)
“Old age equalizes—we are aware that what is happening to us has happened to untold numbers from the beginning of time. When we are young we act as if we were the first young people in the world.”
—Eric Hoffer (1902–1983)