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

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

  2. Can I subtract infinity from infinity? - Mathematics Stack Exchange

    Apr 28, 2016 · Can this interpretation ("subtract one infinity from another infinite quantity, that is twice large as the previous infinity") help us with things like limn → ∞(1 + x / n)n, or is it just a …

  3. 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 …

  4. calculus - Infinite Geometric Series Formula Derivation

    Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 2 months ago Modified 4 years, 4 months ago

  5. What exactly is infinity? - Mathematics Stack Exchange

    The infinite manifold of two or three dimensions, the mathematical beings which depend on a number of variables greater even than three, any number in fact, still have no greater power …

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

    A set A A is infinite, if it is not finite. The term countable is somewhat ambiguous. (1) I would say that countable and countably infinite are the same. That is, a set A A is countable (countably …

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

    Can you give me an example of infinite field of characteristic p ≠ 0 p ≠ 0? Thanks.

  8. What is the difference between "infinite" and "transfinite"?

    Jun 6, 2020 · Infinite simply means "not finite", both in the colloquial sense and in the technical sense (where we first define the term "finite"). There is no technical definition that I am aware …

  9. 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 …

  10. If $S$ is an infinite $\\sigma$ algebra on $X$ then $S$ is not …

    Once you have a infinite collection of pairwise disjoint sets one can identify each of these as distinct elements where unions of sets are also distinct. So by taking all countable unions on …