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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. Uncountable vs Countable Infinity - Mathematics Stack Exchange

    Nov 5, 2015 · 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 numbers is

  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 $\\infty$, where the $\\...

  4. calculus - Infinite Geometric Series Formula Derivation - Mathematics ...

    Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 8 months ago Modified 4 years, 11 months ago

  5. Associativity of infinite matrix product. - Mathematics Stack Exchange

    Many texts reads "It is well known that for infinite matrices multiplication is non-associative". A treatise on this can be found in On the associativity of infinite matrix multiplication. However...

  6. 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 …

  7. When does it make sense to say that something is almost infinite?

    4 If "almost infinite" makes any sense in any context, it must mean "so large that the difference to infinity doesn't matter." One example where this could be meaningful is if you have parallel resistors and …

  8. Is infinite a infinite or finite - Mathematics Stack Exchange

    Sep 26, 2012 · Long back I have watched a documentary based on a mathematician named Cantor. According to that documentary, Cantor claimed that infinite does not exists, it is only finite. Is that True?

  9. Does $1.0000000000\cdots 1$ with an infinite number of $0$ in it exist?

    May 31, 2016 · The recognizable infinite strings seem to be of the variant one end finite, one end infinite. (Do not nail me on this) I am not sure if a non-deterministic (multiple choices possible) Büchi …

  10. What are some examples of infinite dimensional vector spaces?

    Jan 26, 2021 · I would like to have some examples of infinite dimensional vector spaces that help me to break my habit of thinking of $\\mathbb{R}^n$ when thinking about vector spaces.