[To be finished]
A year or so ago I decided to try to explain why I find some mathematics beautiful, and to use Muntz’s Theorem as a base for the post. A few months ago I mentioned Muntz’s Theorem in a email, and recently received a reply asking for more information on it, which prompted me to actually write the post. So I can now genuinely say this post is a response to a request.
notes for post
* the result is both surprising and (sort of) not-surprising
* mathematics understanding needed is probably quadratic and cubic equation graphs – maybe a bit more?
* how to explain Weierstrauss Approximation Theorem, and how and why Muntz’s Theorem is a beautiful refinement of it
Links: need sophisticated mathematical knowledge