@AsafKaragila: I disagree. I think both are fun. Although, if I had to choose between the two and would not be allowed to do the other for the rest of my life I would go for functional analysis.
@AsafKaragila Well, dang, now I remember the trilogy that wasted a few hours of my life each day, a long time ago: TVTropes, fmylife, and Something Awful...
@AsafKaragila If we said "count by ones and don't stop" that is a finite number of words i.e. 6 words that explains the process of counting to infinity ...
I'm correcting homework. Uniform convergence does not necessarily imply that we can interchange the indefinite integral and the limit right? (I'd have to verify but if one of you knows...)
@Matt An engineer, a physicist and a mathematician are driving along the county side and they see a black sheep on the side of the road; the engineer says "ALL sheep are black" the physicist says "Nonsense, only some sheep are black" the mathematician ponders for awhile and finally says "All we know is at least ONE sheep is black and it is black on at least ONE side."
Yep. Well, now there are new debit cards which use a smartcard and those are harder to copy but the magnet strip still works (which those smartcards also have)...
@Daniil Perhaps for the first reading about Banach-Tarski paradox Wapner's The Pea and The Sun is better. It's more of a popular book than a mathematical text. (I did not went through it myself, but I have herad praise on this book from my friends.)
@AsafKaragila: Trying to understand Scott's trick. In the question here, is V_\alpha a p-name? No, that doesn't make any sense : ( ... or actually, it does!
@HenningMakholm Hello HenningMakholm, when you said "subtle", I happened to ask a question before english.stackexchange.com/questions/41462/…. Do you mean the opposite, i.e. play sarcasm?
@pok: Sort of. I'm afraid I don't have time right now to chat about Helly's Theorem, though. However, if you leave your thoughts I'll be glad to take a look at them and respond later when I have time. (It's an interesting question; I upvoted and starred it.)
Yup. I surmise some linuxheads got together and convinced it to get some linux machines because they're free. (Evidence: the username/password is always linuxisfree2/free02, the no. depending on the time of day.)
If X is a normed vector space and X^* its dual, can I always find an injective functional phi in X^* that maps given 2 points a,b in X to different points phi(a) \neq phi(b)?
I know I can edit answers I've deleted (and they don't get undeleted). Is it possible to edit someone else's deleted question? If so, then imagine this: I submit a blank question and promptly delete it, then share the link to everyone and we use it as a wiki to draft something for a secret MSE society...
Some years ago that I realized that my mind works in more than the conventional dimensions of reality I have agreed to never take shrooms, acid, or other hallucinogens.
Okay, outside of a couple q's I'll look up later (e.g. why the fifteen puzzle has A15 symmetry), I've narrowed my queries down to four ^
or 6, if you distinguish question parts
Abstract algebra is really weird in the following sense: you can get stuck on a question for twenty minutes only to realize the resolution to a problem in merely a couple lines of math. :/
But seriously, while I spent 6 months in Germany, I improved my understanding of Polish language tremendously.
Slovak and Polish language are similar, so with a little practice I can understand someone speaking Polish - and there I had an opportunity to practice it.