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 …
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 …
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 …
calculus - Infinite Geometric Series Formula Derivation
Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 8 months ago Modified 4 years, 11 months ago
Associativity of infinite matrix product. - Mathematics Stack …
Many texts reads "It is well known that for infinite matrices multiplication is non-associative". A treatise on this can be found in On the associativity of infinite matrix multiplication. However...
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 …
Any infinite subset of a compact set $K$ has a limit point in $K$?
Suppose every $ p\in K $ has an open nbhd $ U_p $ such that $ E\cap U_p $ is finite. Then $ C=\ {U_p: p\in K\} $ is an open cover of $ K $ but any finite $ D\subset C $ covers only a finite …
When does it make sense to say that something is almost infinite?
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 …
linear algebra - Invertibility of infinite-dimensional matrix ...
May 3, 2020 · As far as I can tell, the "infinite matrix" representation of a linear operator is not that popular, especially in non-Hilbert contexts. There are many technicalities to address, as Jesko …
Does $1.0000000000\cdots 1$ with an infinite number of $0$ in it …
May 31, 2016 · The recognizable infinite strings seem to be of the variant one end finite, one end infinite. (Do not nail me on this) I am not sure if a non-deterministic (multiple choices possible) …