
How can I define $e^x$ as the value of infinite series?
Are you familiar with Taylor series? Series solutions of differential equations at regular points? From what foundation/background are you approaching this problem?
Example of infinite field of characteristic $p\neq 0$
May 11, 2023 · Can you give me an example of infinite field of characteristic $p\\neq0$? Thanks.
Infinite product probability spaces - Mathematics Stack Exchange
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 sigma algebra)? I …
What is the difference between "infinite" and "transfinite"?
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 somehow, which may …
Linearity of expectation for infinite sums? - Mathematics Stack Exchange
Linearity of expectation for infinite sums? Ask Question Asked 10 years, 8 months ago Modified 10 years, 8 months ago
How is an infinite direct sum defined? - Mathematics Stack Exchange
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 finite modules is …
elementary set theory - What do finite, infinite, countable, not ...
What do finite, infinite, countable, not countable, countably infinite mean? [duplicate] Ask Question Asked 13 years, 2 months ago Modified 13 years, 2 months ago
If $S$ is an infinite $\sigma$ algebra on $X$ then $S$ is not countable
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.
general topology - Why is the infinite sphere contractible ...
Why is the infinite sphere contractible? I know a proof from Hatcher p. 88, but I don't understand how this is possible. I really understand the statement and the proof, but in my imagination this...
real analysis - Meaning of Infinite Union/Intersection of sets ...
Meaning of Infinite Union/Intersection of sets Ask Question Asked 8 years, 7 months ago Modified 4 years, 1 month ago