
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-big infinity, for
Types of infinity - Mathematics Stack Exchange
Dec 18, 2012 · Not only infinite - it's "so big" that there is no infinite set so large as the collection of all types of infinity (in Set Theoretic terms, the collection of all types of infinity is a class, not a set). You …
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 numbers is
Basis for infinite dimensional vector space definition
Feb 4, 2023 · In some of these infinite-dimensional vector spaces, when they're normed, there may be Schauder Bases , where we have infinite sums, which require a notion of convergence.
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 infinity as a …
probability - How to solve dice problem using infinite series and ...
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
linear algebra - Proof that two bases of a vector space have the same ...
16 Once you have the necessary facts about infinite sets, the argument is very much like that used in the finite-dimensional case.
infinity - Infinite points on circle - Mathematics Stack Exchange
Jul 21, 2019 · Can we say that circle has infinite points? What if then I took one point out. Does it matter. And then if we took half the infinite points of the circle out of it and still can it be called circle?
Is it viable to ask in an infinite set about the Cardinality?
Dec 16, 2012 · Can you ask given an infinite set about its cardinality? Does an infinite set have a cardinality? So, for example, what would be the cardinality of $+\\infty$?
Is there a shape with infinite area but finite perimeter?
Dec 1, 2014 · But the circumference also defines the subset with infinite area that lays "outside" (which is a conventional concept). That other "outside shape" would be an example of a finite-perimeter …