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  1. 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 …

  2. infinity - What is the definition of an infinite sequence ...

    May 12, 2024 · Except for $0$ every element in this sequence has both a next and previous element. However, we have an infinite amount of elements between $0$ and $\omega$, which …

  3. Finding a basis of an infinite-dimensional vector space?

    For many infinite-dimensional vector spaces of interest we don't care about describing a basis anyway; they often come with a topology and we can therefore get a lot out of studying dense …

  4. Proof of infinite monkey theorem. - Mathematics Stack Exchange

    Apr 24, 2015 · The infinite monkey theorem states that if you have an infinite number of monkeys each hitting keys at random on typewriter keyboards then, with probability 1, one of them will …

  5. 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 …

  6. One divided by Infinity? - Mathematics Stack Exchange

    Infinite decimals are introduced very loosely in secondary education and the subtleties are not always fully grasped until arriving at university. By the way, there is a group of very strict …

  7. general topology - Why is the infinite sphere contractible ...

    Why is the infinite sphere contractible? I know a proof from Hatcher p. 88, but I don't understand how this is possible. I really understand the statement and the proof, but in my imagination this...

  8. elementary set theory - What do finite, infinite, countable, not ...

    What do finite, infinite, countable, not countable, countably infinite mean? [duplicate] Ask Question Asked 13 years, 2 months ago Modified 13 years, 2 months ago

  9. linear algebra - Definition of Infinite Dimensional Vector Space ...

    Sep 24, 2020 · In the text i am referring for Linear Algebra , following definition for Infinite dimensional vector space is given . The Vector Space V(F) is said to be infinite dimensional …

  10. probability - Infinite expected value of a random variable ...

    Nov 17, 2012 · The result is quite counter-intuitive. How can summing up products of finite numbers (the values of the random variable) with finite numbers (the probability of the random …