May 11, 2023 · Can you give me an example of infinite field of characteristic $p\\neq0$? Thanks.

Are you familiar with Taylor series? Series solutions of differential equations at regular points? From what foundation/background are you approaching this problem?

For many infinite-dimensional vector spaces of interest we don't care about describing a basis anyway; they often come with a topology and we can therefore get a lot out of studying dense …

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 $\infty$ or infinite cardinals …

6 Show that if a $\sigma$-algebra is infinite, that it contains a countably infinite collection of disjoint subsets. An immediate consequence is that the $\sigma$-algebra is uncountable.

Aug 12, 2015 · However, it then simply states that these three spaces are infinite-dimensional normed vector spaces. The only thing mentioned in my notes so far is in relation to finite …

May 24, 2016 · Does the infinite product of probability spaces always exist (using the sigma algebra that makes all projections measurable and providing a probability measure on this …

Meaning of Infinite Union/Intersection of sets Ask Question Asked 8 years, 7 months ago Modified 4 years, 1 month ago

Apr 18, 2018 · 2 I am reading about infinite direct sums and I just need some clarification. To say that a finite sum of say modules is direct we want to show that the intersection of all those …

Nov 17, 2021 · "I assume that only uncountably infinite unbounded sets have infinite measure" - This is true in the Lebesgue measure on $\Bbb R$. Any countable set, bounded or not, has …