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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. 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. 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. Partitioning an infinite set - Mathematics Stack Exchange

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

  6. 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.

  7. Proving infinite order. - Mathematics Stack Exchange

    Dec 27, 2014 · But $H$ is infinite cyclic and the only finite subgroup of $H$ is $\ {1\}$. Thus $G/N$ is infinite as well and, since it is generated by $gN$, this element has infinite order.

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

    A treatise on this can be found in On the associativity of infinite matrix multiplication. However, if x x and v v are infinite vectors, and A A is a semi-infinite matrix, then Does the product x⊺Au x ⊺ A u is …

  9. Can a set be infinite and bounded? - Mathematics Stack Exchange

    Aug 7, 2014 · 'every infinite and bounded part of $\mathbb {R^n}$ admit at least one accumulation point' because for me a set is either bounded so finite or infinite so unbounded. I don't really understand …

  10. discrete mathematics - Countably Infinite, Uncountable or Finite ...

    Dec 5, 2015 · I am having trouble with the following terms: countably infinite, uncountable, and finite. In addition, for the following problems I need to select which category they fall into. $1)$ Consider a s...