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 …

Infinite Geometric Series Formula Derivation Ask Question Asked 12 years, 3 months ago Modified 4 years, 5 months ago

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 …

A set A A is infinite, if it is not finite. The term countable is somewhat ambiguous. (1) I would say that countable and countably infinite are the same. That is, a set A A is countable (countably …

Oct 31, 2017 · If your infinite dimensional space has an inner product and is complete with respect to the induced norm then it is an infinite dimensional Hilbert space. That's all it takes to …

Infinite decimals are introduced very loosely in secondary education and the subtleties are not always fully grasped until arriving at university. By the way, there is a group of very strict …

Jun 6, 2020 · The reason being, especially in the non-standard analysis case, that "infinite number" is sort of awkward and can make people think about ∞ ∞ or infinite cardinals …

An infinite dimensional vector space over a field with p p elements is probably the simplest example. But there are some really wacky groups called "Tarski Monsters" that provide …

Mar 19, 2020 · Thus there are an infinite number of non-prime naturals. But how do I show that the entire set of non-prime naturals is infinite? Is it as easy as saying that it is a subset of the …

The dual space of an infinite-dimensional vector space is always strictly larger than the original space, so no to both questions. This was discussed on MO but I can't find the thread.