What do finite, infinite, countable, not countable, countably infinite mean?[duplicate] ask question asked 13 years, 2 months ago modified 13 years, 2 months agoThe 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.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 mathematicians …For many infinite-dimensional vector spaces of interest we don't care about describing a basis anyway;
The Victory Channel is LIVE with FLASHPOINT! 4.24.25 | The Victory
The Victory Channel is LIVE with FLASHPOINT! 4.24.25 | The Victory

The Victory Channel is LIVE with FLASHPOINT! 4.24.25 | The Victory of Infinite Campus Sweetwater: Don't Let Your Child Become A STATISTIC! .

12
By 
They often come with a topology and we can therefore get a lot out of studying dense subspaces, …You'll need to complete a few actions and gain 15 reputation points before being able to upvote.Upvoting indicates when questions and answers are useful.What's reputation and how do i get it?Infinite geometric series formula derivation ask question asked 12 years, 7 months ago modified 4 years, 9 months agoAll 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 regularized …