Once upon a time there was a Koenig that knew some answers to non-set theory stuff. He forgot them in time, and now he got no sound on his linux. The end.
is the general name for a series of light novels written by Nagaru Tanigawa and illustrated by Noizi Ito which were subsequently adapted into other media. The story follows the title character Haruhi Suzumiya, a high school girl who can unconsciously change reality, and her strange antics with her school club, t
@Alexei: It's from history (group cohomology). People used to use the standard simplicial models of EG and BG used to write [g_0|...|g_n] for the simplices of one of them to distinguish them from those of the other. That's why bar resolution.
I err on the side of more detail. If the reader were doing well reading Stein, they wouldn't need help at all. Seeing as they needed help, I don't know how much help they might need. They could only get to the formula for a_n, so... :-)
@JackSchmidt Sorry I was thinking right, the map is R[x] -> C that sends f(x) -> f(i). If one says that kernel is the ideal generated by the polynomial (x-i), that would not be right for i is not a real number. However if one says that it is generated by (x^2 + 1), then I think this would be right.
@BenjaminLim You had asked a question earlier, and did not reply to someone who asked you about it. I did not see you had left, and so I called out. :-)
But you seem to have gotten everything straightened away.
Greetings all. @t.b.: Wanted to follow up on our meta discussion about the integration-related tags. Do you know if "integration" is supposed to be the "indefinite-integration" tag corresponding to the "definite-integration" tag, as per Bill's suggestion?
Hey, Asaf. Per your question above... the "Can I use my powers for good?" question went viral. It was listed for a while on the "hot questions" list for the entire SE network, and so a lot of people who don't normally use math.SE read it, upvoted it, and chimed in.
@Mike: I don't know, the description for integral is Questions on the evaluation of definite and indefinite integrals and the one for integration is All aspects of integration, including the definition of the integral and computing indefinite integrals (antiderivatives).
@t.b.: Yeah, I read that, too, which didn't help me much. I was wondering if you remembered some discussion on meta about the introduction of those two tags? I'm also wondering if "definite-integration" and "integration" are to "integral" what "abstract-algebra" and "algebra-precalculus" are to "algebra."
In other words, maybe some critical subset of the community really wants the "integral" tag to be split into the other two, but there are too many questions already tagged "integral" for that to be feasible at this point.
And @robjohn: What's up with the new logo image? :)
I really don't know. I linked to the threads I can remember at the moment but I didn't read them thoroughly. Anyway, I agree with you that it is a bit of a mess, and the tagging system's design doesn't allow for easy organization of the tags retroactively, mostly because the higher ups are so strongly opposed to a hierarchical system that would allow such specializations to be implemented. Also, we can't retag without bumping, so it is likely to stay that way.
@t.b.: Thanks for your thoughts. I think you're right. The tag system is such a mess in places. Well, I'll wait to see if anyone else comments on my post about the integration tags, and then I'll decide if I want to try to improve things. A lot of people don't read the "Tag Merging and Synonyms" question anymore, though, I think; there are just already too many answers to it.
@Mike: I think Willie should remember because he was involved in that thread. So I'd wait until he finds the time to comment on your suggestion on meta but he seems pretty busy recently. I didn't answer to your query there because I don't have much to say.
@t.b.: I only say that because several times I've seen questions get zero or only a few upvotes at first - but then after someone posted a nice answer people started upvoting the question.
@robjohn: Thanks! Maybe I should drop into chat more often! ;)-
@robjohn: Actually, I was over 16K earlier today, but then I requested that an incorrect but old (over a year) answer be deleted, and that dropped me back below 16K. Whatever the reason for the upvote, thanks. :)
@tb The integral tag was a tag I created when I asked one of my first questions here. I'm alright if it is indeed felt that a split into the definite and indefinite sorts is needed, but I'm not actively campaigning for a split either.
@robjohn: The other thing that did was that now "combinatorics" is tied with "probability" for the tag that I have the most upvotes in. For about a year "probability" was my highest upvoted tag.
@Mike: It would be very intersting to know more about the reasons why people vote. There seem to be so many different motivations/thoughts that go into this, and often enough they seem to interfere. I thought about opening a meta thread on that several times already, but I always hesitated for fear of the outcome.
@Mike: Mine is by far calculus, but I had thought I had answered more questions in other topics. I guess it is about how things are tied together and what multiple tags are there.
@t.b.: There have been some discussions on meta, I think - mostly around complaints about good answers to technical questions not getting enough upvotes and clever answers to easy questions getting too many. It might be interesting to see what such a meta question would produce - although it might be scary, too. :)
@Asaf: What you should do is convince your friends to sign up and post questions on the axiom of choice. Since I have zero chance of answering them, you'll start outpacing me more and more. :-D
@MikeSpivey I can hardly convince my friends to sign up. They also tend to ask me in person and since Israelis usually talk with their entire body it's easier to explain in real life instead.
Also, most of the folks around here don't really care about AC issues.
@robjohn: Griffith Observatory... my wife has been meaning to take me there for 10 years now (her parents live in LA), but it was closed for a while. I'm sure I'll make it some day.