Recent content by s.hamid.ef

Hi Mathman, I'm not concerned about any particular examples, and now I'm realizing it's not as common an issue as I thought. I guess I need to gain more experience in the field before I can compare it to other fields. Anyways, what's the most rigorous treatment of enumerative combinatorics you...

There's something I can not understand about proofs in combinatorics. Whenever I solve a counting problem, there's a non-negligible amount of uncertainty about the solution which I really don't feel when I solve problems in other fields, say in analysis or abstract algebra. It happens too often...

Thanks so much Micromass! I honestly didn't expect such a clear cut and complete answer to my question. Total boundedness showed up several times here and there but I failed to see it was the key concept , and now it sheds light on a few other things I was struggling with ( such as how uniformly...

Hi Suppose (X,d) is a bounded metric space. Can we extend (X,d) into (X',d') such that (X',d') is compact and d and d' agree on X? ( The reason for asking the question: To prove a theorem in Euclidean space, I found it convenient to first extend the bounded set in question to a compact one (...

Hi, I'm a bit ashamed to say this, but reading some of your posts in PF, I've realized I need to learn a lot more before I can have any useful discussion with any of you. Sorry for the inconvenience and I hope these posts will be of benefit to someone looking for something similar. Bests.

Hi everyone, Thank you Evo for the warning. I've had penpals to improve my language skills and most of them have turned out to be very nice people. But unfortunately they at best didn't mind talking about mathematics. Ivan92, I'm not really looking for dating or anything similar. And I...

How can I find people who are interested in correspondence on mathematics and are also around my age on the net? By correspondence I mean emails. I can't see many people interested in mathematics on popular social networks, or if there are, it's not possible to find them through searching...