In real analysis, the real projective line (also called the one-point compactification of the real line, or the projectively extended real numbers), is the set, also denoted by and by .
The symbol represents the point at infinity, an idealized point that bridges the two "ends" of the real line.
Read more about Real Projective Line: Dividing By Zero, Extensions of The Real Line, Order, Geometry, Algebraic Properties, Intervals and Topology, Interval Arithmetic, Calculus, Hyperbolic Involutions
Famous quotes containing the words real and/or line:
“The real American type can never be a ballet dancer. The legs are too long, the body too supple and the spirit too free for this school of affected grace and toe walking.”
—Isadora Duncan (18781927)
“It is a great many years since at the outset of my career I had to think seriously what life had to offer that was worth having. I came to the conclusion that the chief good for me was freedom to learn, think, and say what I pleased, when I pleased. I have acted on that conviction... and though strongly, and perhaps wisely, warned that I should probably come to grief, I am entirely satisfied with the results of the line of action I have adopted.”
—Thomas Henry Huxley (182595)