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## Summary:

- Is there a universal definition and purpose for considering these a distinct category?

I often encounter functions called "polynomial" in numerous fields. I don't see an obvious common trait other than that they're usually describing a real-valued continuous function. What aspects are typical or universal or distinct? What structures can be polynomial? Some sources say that polynomials may be defined as conforming to a grammar of sorts, as basically a sum of products (assuming numeric algebras), but in some contexts they're expressed in an implicit equation with no distinct features other than having an = sign buried within. I can't judge how such scrambled equations were derived, whether they're a special subset of a larger class of function, whether / when they can be uniquely mapped back to a common normalized form.

This is looking like either a frequently misused `term or perhaps overloaded with meanings making it oddly hard to research.

This is looking like either a frequently misused `term or perhaps overloaded with meanings making it oddly hard to research.