Talk:Integer as Sum of Polygonal Numbers

The structure of the proof can be improved, because it is difficult to follow.

Note that I have changed $(*)$ and $(**)$ to $(\text a)$ and $(\text b)$ to make referring to them mentally clearer. For people whose thinking processes are verbal, it is easier to hang onto $(\text a)$ and $(\text b)$ as a thought than onto $(*)$ and $(**)$ because you can't "say" $(*)$ and $(**)$ like you can $(\text a)$ and $(\text b)$. (Can't really use numbers because those have already been used and overloaded.)

There are several blocks to this proof, and it is not clear what follows from what, because assumptions made "up here" are proved "down there". Clarity as to which bits are which, blocking them off with $\Box$ signs has improved it a little, but it would make more sense to extract them into transcluded lemmata in the usual way. So moving $(\text a)$ and $(\text b)$ into separate pages and calling them lemmas and transcluding them in should be a big improvement.

Be aware to be careful not to let the grammar be incorrect and confusing. It is a common mistake to begin a line with a capital letter when it should not be. See this:


 * Help:Editing/House Style

I have corrected them as I find them. But the teacher in me feels pain whenever I see it. --prime mover (talk) 15:41, 7 May 2020 (EDT)