Are there any infinite order groups such that they have finite order non trivial subgroup? The simplest subgroup would be one where the element is its own inverse other than identity. Next …

All three integrals are divergent and infinite and have the regularized value zero, but two of them are equal but not equal to the third one. In other cases of divergent integrals or series, the …

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

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.

Multiplication of infinite series Ask Question Asked 11 years, 8 months ago Modified 4 years, 8 months ago

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 …

Apr 24, 2013 · An infinite union of closed sets is a closed set? Ask Question Asked 12 years, 6 months ago Modified 10 months ago

Apr 24, 2015 · The infinite monkey theorem states that if you have an infinite number of monkeys each hitting keys at random on typewriter keyboards then, with probability 1, one of them will …

Oct 2, 2016 · Infinite sum of ones Ask Question Asked 9 years, 1 month ago Modified 9 years, 1 month ago

How do I prove the following set is countably infinite? {1 n:n∈ Z∖{0}} {1 n: n ∈ Z ∖ {0}} I know that I can say this set is a subset of Q Q, and that Q Q is infinite, thus this set is infinite. However, …