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  1. What is infinity divided by infinity? - Mathematics Stack Exchange

    Aug 11, 2012 · I know that $\\infty/\\infty$ is not generally defined. However, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half-as-big infinity, for

  2. Basis for infinite dimensional vector space definition

    Feb 4, 2023 · In some of these infinite-dimensional vector spaces, when they're normed, there may be Schauder Bases , where we have infinite sums, which require a notion of convergence.

  3. I have learned that 1/0 is infinity, why isn't it minus infinity?

    An infinite number? Kind of, because I can keep going around infinitely. However, I never actually give away that sweet. This is why people say that 1 / 0 "tends to" infinity - we can't really use infinity as a …

  4. Is there a shape with infinite area but finite perimeter?

    Dec 1, 2014 · But the circumference also defines the subset with infinite area that lays "outside" (which is a conventional concept). That other "outside shape" would be an example of a finite-perimeter …

  5. Example of infinite field of characteristic $p\neq 0$

    May 11, 2023 · Can you give me an example of infinite field of characteristic $p\\neq0$? Thanks.

  6. Partitioning an infinite set - Mathematics Stack Exchange

    Dec 1, 2010 · Can you partition an infinite set, into an infinite number of infinite sets?

  7. real analysis - Why set of natural numbers is infinite, while each ...

    In his book Analysis Vol. 1, author Terence Tao argues that while each natural number is finite, the set of natural numbers is infinite (though has not defined what infinite means yet). Using Peano...

  8. Riemann sum on infinite interval - Mathematics Stack Exchange

    Aug 12, 2015 · Riemann sum on infinite interval Ask Question Asked 10 years, 6 months ago Modified 2 years, 1 month ago

  9. On the cardinality of Cartesian product of infinite sets

    Oct 9, 2025 · On the cardinality of Cartesian product of infinite sets Ask Question Asked 4 months ago Modified 4 months ago

  10. Infinite intersection of open sets - Mathematics Stack Exchange

    Oct 2, 2015 · Similarly, to disprove infinite intersection of open sets is open, it is enough to give a particular collection of open sets such that intersection is not open.