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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 …

  2. Infinite monkey theorem and numbers - Mathematics Stack …

    Mar 15, 2021 · I had a discussion with a friend about the monkey infinite theorem, the theorem says that a monkey typing randomly on a keyboard will almost surely produce any given books …

  3. Does a vertical line have no slope, or infinite slope?

    Dec 17, 2024 · I have heard some textbooks that vertical lines have no slope (not a slope of $0$, rather, no slope at all). However, other textbooks say that the slope of a vertical line is …

  4. 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 …

  5. probability - How to solve dice problem using infinite series and ...

    Nov 17, 2024 · How to solve dice problem using infinite series and combinations? Ask Question Asked 1 year, 2 months ago Modified 1 year, 2 months ago

  6. linear algebra - Proof that two bases of a vector space have the …

    16 Once you have the necessary facts about infinite sets, the argument is very much like that used in the finite-dimensional case.

  7. 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 …

  8. Egorov's Theorem - Counterexample in Infinite Case

    Feb 22, 2019 · I don't think the important conclusion of Egorov's Theorem is that we are guaranteed uniform convergence on a set of finite measure (though to be sure this is what we …

  9. Partitioning an infinite set - Mathematics Stack Exchange

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

  10. Uncountable vs Countable Infinity - Mathematics Stack Exchange

    My friend and I were discussing infinity and stuff about it and ran into some disagreements regarding countable and uncountable infinity. As far as I understand, the list of all natural …