which are, I think, quite clearly homework.
As the asker of the first question, I will have to insist it is not homework. I'm not in school now; I am merely preparing for a class in a few weeks. It was a homework questions two years ago, but it's not homework now. Of course, I could be lying to you :)
I believe you came to your "quite clearly homework" conclusion by judging the specific nature of the questions, and their seemingly trivial nature. I believe that your conclusion is invalided on those premises because:
- A question that is trivial to you, may not be trivial to someone else (the questions asked here seem quite complex to me)!
- Other specific questions (this question for example) get the community's stamp of approval.
I'll admit, your intuition is usually pretty good about picking out homework questions. But it's not completely accurate.
I wish the site does not become an online support group!
I wish it does! Not all of us here have a rock solid foundation in math (well, then again, maybe, it's just me). The help I received here was very valuable, and after asking two questions, I feel more confident in handling proofs when school starts back up. I take that to be the sign of a blossoming community.
But, it's up to the community to decide the nature of this site. And if it turns out my questions aren't welcome here, tough cookies for me!
Now onto your question of handling alleged homework questions:
I say keep'em. If you're sure it's homework, you certainly aren't obligated to give the complete solution! But guiding the asker towards a solution is a perfectly acceptable way to "answer" the question.