Dec 17, 2024 · I have heard some textbooks that vertical lines have no slope (not a slope of 0 0, rather, no slope at all). However, other textbooks say that the slope of a vertical line is ∞ ∞, where the ∞ ∞ is …

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 (here let's say …

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

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 …

Meaning of Infinite Union/Intersection of sets Ask Question Asked 8 years, 11 months ago Modified 4 years, 4 months ago

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 the matrix …

Apr 28, 2015 · 4 You need to endow your infinite set with a measure such that the whole space has measure 1 1 and then integrate (and hope that your function is measurable to begin with). For finite …

Aug 7, 2014 · Countability is a different concept altogether. An infinite bounded set can be countable (e.g. all rationals between 0 and 1) or uncountable (e.g. all reals between 0 and 1).

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 resistors and …

Obviously it depends on the definition of "exists". Some authors explicitly work over the extended real line with ±∞ ± ∞ adjoined, so that such infinite limits do explicitly "exist" as first-class values. But …