
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 …
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 …
real analysis - Meaning of Infinite Union/Intersection of sets ...
Meaning of Infinite Union/Intersection of sets Ask Question Asked 8 years, 11 months ago Modified 4 years, 4 months ago
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 …
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 …
linear algebra - Invertibility of infinite-dimensional matrix ...
May 3, 2020 · How do you extend your definitions to that case, and how infinite is n n? Assuming n =N n = N, the product of two such matrices is still not always well-defined, take for instance …
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 …
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.
probability theory - Mahalanobis distance with infinite matrices ...
Oct 21, 2025 · The graphical representation of the infinite matrix and infinite vectors in the cartesian system Oτ1τ2 O τ 1 τ 2 is the one used in the paper ”Continuous analogues of matrix …
linear algebra - Proof that two bases of a vector space have the …
16 Once you have the necessary facts about infinite sets, the argument is very much like that used in the finite-dimensional case.