例句與造句

1. The projectively extended real line must not be confused with the extended real number line, in which and are distinct.
2. 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.
3. 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 ).
4. 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.
5. Note that any member of the modular group maps the projectively extended real line one-to-one to itself, and furthermore bijectively maps the projectively extended rational line ( the rationals with infinity ) to itself, the irrationals to the irrationals, the transcendental numbers to the transcendental numbers, the non-real numbers to the non-real numbers, the upper half-plane to the upper half-plane, et cetera.
6. It's difficult to find projectively extended real line in a sentence. 用projectively extended real line造句挺難的
7. In each case the absolute value | " f " / " g " | approaches +  ", and so the quotient " f " / " g " must diverge, in the sense of the extended real numbers . ( In the framework of the projectively extended real line, the limit is the unsigned infinity  " in all three cases . ) Similarly, any expression of the form " a " / 0, with ( including and ), is not an indeterminate form since a quotient giving rise to such an expression will always diverge.