In mathematics, the extended real number system is obtained from the real number system R {\displaystyle \mathbb {R} } by adding two infinity elements:...

In real analysis, the projectively extended real line (also called the one-point compactification of the real line), is the extension of the set of the...

mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed...

real number line (applied to a function or sequence that "diverges to infinity" or "increases without bound"), or as an extreme point of the extended...

topology Extended real number line Finite topological space Hawaiian earring Hilbert cube Irrational cable on a torus Lakes of Wada Long line Order topology...

example of a real projective line is the projectively extended real line, which is often called the projective line. Formally, a real projective line P(R) is...

numbers) requires both +0 and −0. Real arithmetic with signed zeros can be considered a variant of the extended real number line such that 1/−0 = −∞ and 1/+0...

the extended real number line, dividing any real number by infinity yields zero, while in the surreal number system, dividing 1 by the infinite number ω...

{\displaystyle +\infty } and − ∞ {\displaystyle -\infty } . However, the extended real number line would be compact, since it contains both infinities. There are...

we can take the quotient by the subgroup {1, −1}. Compare the extended real number line, which distinguishes ∞ and −∞. Adding a point at infinity to the...