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 …

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 …

Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 6 months ago Modified 4 years, 8 months ago

Oct 4, 2020 · I am a little confused about how a cyclic group can be infinite. To provide an example, look at $\\langle 1\\rangle$ under the binary operation of addition. You can never …

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

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 …

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 …

The subgroup of $G$ generated by $r$ and $t$ is called the infinite dihedral group and denoted by $D_ {\infty}$. Note that this information describes an action of $D_ {\infty}$ on $\Re$.

A countably infinite sample space $\Omega$ is such that there exists a bijective function between $\Omega$ and $\mathbb {N}$, the natural numbers. A non-countable infinite sample space is …

Aug 2, 2015 · Looks correct to me (even though I'm not fully sure whether the results you cite hold for arbitrary infinite-dimensional normed spaces or just Banach ones). In fact, something …