# Is there any Stack Exchange site that allows sharing, review of interesting observations\results made\obtained by students in Mathematics?

I'm a 10th grader who is extremely interested in Mathematics and I frequently come across some interesting (at least, to me) results while doing some Math problem and sometimes I want to get an expert-level opinion on that result.
For example, I was recently thinking about how one would go on about defining a function that gives a graph like the one given below :

I successfully defined such a function using a combination of the floor function, ceiling function, fractional part function and the signum function. It was pretty interesting for me.
Another time, I discovered a simple derivation for the quadratic formula and once, a derivation for the compound angle identities in Trigonometry

These are some examples of when I wanted to share these and get some reviews/opinions about the results that I had obtained.

So, basically, is there a website for Mathematics like Code Review for Coding in the Stack Exchange Community?

Thanks!

PS : If you're wondering what the functions is, it's given below : $$f(x) = \text{Sign}\Bigg(\Bigg\{\dfrac{\lceil x \rceil}{2} \Bigg \} - a \Bigg) \text{, where } 0 < a < 0.5$$ $$\text{Here, }\{ x \} \text { is the fractional part function which is defined as } \{ x \} = x - \lfloor x \rfloor$$ $$\text{And Sign}(x) \text{ is the signum function, which gives the sign of the input, and } 0 \text{ in case the input is }0$$

Edit : I recently thought of a much simpler version of the function that I talk about above. It is : $$f(x) = \cos(\lfloor x \rfloor \cdot \pi)$$

• A better and clearer definition would be to not insist that it be given by a single formula and to say that $$f(x)=\begin{cases}1&\mbox{ if }2n<x\leq 2n+1\\-1&\mbox{ otherwise}.\end{cases}$$ – Matt Samuel Jun 16 at 20:47
• An addition though : "Where $n \in \Bbb Z$". Actually, the reason that I insisted on a Mathematical definition of the function was so that it can be graphed using a graphing calculator and embedded in a computer program with a mathematical approach. Thanks for the suggestion! – Rajdeep Sindhu Jun 16 at 20:52
• Is "check my work" question not allowed? We have a tag specified for that. – Arctic Char Jun 16 at 20:55
• I am familiar with the solution-verification tag and in fact, have used it a few times too. As far as I know, this question : math.stackexchange.com/questions/3704308/… was closed till some time ago for the reason : Homework and check my work type questions not allowed. It's re-opened now though. Also, wouldn't a separate site (like Code Review for reviewing programs) be nice? – Rajdeep Sindhu Jun 16 at 21:03
• I looked at the timeline and it doesn't appear that the question was ever closed. The reason is invalid in any case, because both homework and check-my-work questions are allowed. – Matt Samuel Jun 16 at 21:34
• @MattSamuel I'm sorry for the misleading info. Looks like I can't recall the question which was closed for being a 'check my work' type question. Maybe (and most probably), it wasn't even on Mathematics SE. – Rajdeep Sindhu Jun 16 at 21:43
• Then get rid of the first sentence of your post, @RajdeepSindhu ! – amWhy Jun 16 at 23:30