Alternatively, the real line has two extended real line.
2.
Zero is an integer and a real number and a member of the extended real line.
3.
Also, the fraction 1 / 0 is left undefined in the extended real line, therefore it and
4.
:Positive and negative infinities are members of the extended real line, but they are not integers.
5.
Is e " 0 and the other one is d " 0 ( in the extended real line ).
6.
The projectively extended real line must not be confused with the extended real number line, in which and are distinct.
7.
The projectively extended real line may be identified with the projective line over the reals in which three specific points ( e . g ., and ) have been chosen.
8.
It is also possible to compactify the real line by adding " two " points, + " and- "; this results in the extended real line.
9.
There are mathematical structures in which " a " / 0 is defined for some " a " such as in the Riemann sphere and the projectively extended real line; however, such structures cannot satisfy every ordinary rule of arithmetic ( the field axioms ).
10.
In real analysis, the "'projectively extended real line "'( also called the one-point compactification of the real line, or simply "'real projective line "'), is the extension of the number line by a point denoted.
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