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

Nov 5, 2015 · 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

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 $\\...

Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 8 months ago Modified 4 years, 11 months ago

A treatise on this can be found in On the associativity of infinite matrix multiplication. However, if x x and v v are infinite vectors, and A A is a semi-infinite matrix, then Does the product x⊺Au x ⊺ A u 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 …

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 …

By using infinite series, Newton was able to do a darn good description of gravitation, without pretending that his mathematical theory was the ultimate truth about the physical world (he knew about some …

Aug 1, 2024 · I'm new to ZFC set theory. As i understand, the axiom of regularity is to prevent the existence of an infinite descending chain. In $\\mathbb{R}$, I see clearly that for example the …

Sep 26, 2012 · Long back I have watched a documentary based on a mathematician named Cantor. According to that documentary, Cantor claimed that infinite does not exists, it is only finite. Is that True?