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-big infinity, for

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 …

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 $\\infty$, where the $\\...

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 …

Nov 17, 2024 · How to solve dice problem using infinite series and combinations? Ask Question Asked 1 year, 2 months ago Modified 1 year, 2 months ago

May 31, 2016 · A decimal representation of a number has digits indexed by natural numbers. Which exactly is the position of that last 1? Is it the first after the decimal point? The second? The third? …

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 …

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

May 31, 2014 · Infinite dimensional clifford algebras are the setting of David Hestenes' so-called "universal geometric algebra". Hestenes uses this setting to embed vector manifolds---manifolds …

16 Once you have the necessary facts about infinite sets, the argument is very much like that used in the finite-dimensional case.