# Is MO the place to explore whether a problem has been considered or solved by mathematicians?

I am a university AP and I like composing problems (not for kids, not for practice). Oftentimes I don't know whether or not the problem has been considered or solved by other mathematicians. Is mathoverflow the best place to explore that?

For example, a geometry problem. There are finitely many lines on the plane, none parallel. Each line is divided into 2 infinite rays and several segments by the intersections with other lines. It is called a monotone line if the lengths of these segments are increasing or decreasing along the line. If there are only 1 or 2 segments it is automatically monotone.

The question is to give a classification if all lines are monotone.

It seems not complicated, but anyone has thought about it or similar problems?

• As the proposed questions do not concern math research, they would probably fit better on math.stackexchange.com than on MO. Commented Oct 8, 2017 at 11:39
• The term in the literature for your collection of lines is an arrangement of lines. I do not recall your particular question being addressed. Commented Oct 8, 2017 at 13:32
• What kind of problems are considered as research problems? Problems that are interesting and hard? Commented Oct 9, 2017 at 3:23
• Roughly, problems which are interesting for mathematicians. That the problems are hard is neither necessary nor sufficient. In case of doubt, just post your question. And bear in mind that how people interact with you may also depend e.g. on whether you ask your question as user143870 or under your name.
– Stefan Kohl Mod
Commented Oct 9, 2017 at 9:15
• As @StefanKohl says, it is definitely a "show of good faith" to ask questions under one's own name, and maintain a registered user status, rather than flitting-in under a different unregistered user name various days. Having an established user-name, and a history of seriousness, greatly helps one's credibility, and, thus, the seriousness of responses you'll get. Commented Oct 14, 2017 at 0:23
• @HaoranChen, my experience from being on this forum as not mathematicion is that "research problems" are neither interesting nor hard. The "research problems" are such problems which are currently hot topics on agenda of working mathematicians. You do not guess it by your own. Be prepared that when you ask the question which just come to your mind by curiosity, they will be closed here. They might be hard and interesting :)
– user21230
Commented Oct 17, 2017 at 12:09
• @MarekMitros, you are right, and they will be closed here :) unless someone, yes, someone finds them useful and he has the power to make them hot... Commented Nov 4, 2017 at 14:20
• @MarekMitros We make of MO just what we make of it. What you describe is an observable phenomenon, but the opposite tendency is also clearly present. So, all I can say to the OP is "use common sense when asking, you are judged by your common sense and taste in your questions more than by anything else." Commented Nov 15, 2017 at 14:58