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 : $$f(x) = \cos(\lfloor x \rfloor \cdot \pi)$$