Quantum redactiones paginae "Disputatio:Polynomium" differant

:The math is above my level, but note that according to the Wikidata links, ''[[corpus (mathematica)|corpus]]'' = [[:en:Field (mathematics)|field]], ''[[copia]]'' = [[:en:set (mathematics)|set]], and ''[[caterva (mathematica)|caterva]]'' = [[:en:group (mathematics)|group]]. These terms aren't set in stone, but as they are, you actually changed "field" to "set." Amahoney may have something to say. [[Usor:Lesgles|Lesgles]] ([[Disputatio Usoris:Lesgles|disputatio]]) 18:56, 14 Aprilis 2016 (UTC)

::Actually, the coefficients can be in any field. It's perfectly reasonable to talk about solving polynomials over, say, <math>\mathbb Z _{5}</math> (field of integers mod 5). In fact, polynomials can be defined over a ring (say, the ring of non-singular matrices of order ''n''), though in general what you want is an algebraically complete field. A polynomial defined over the complex numbers will have as many roots as its degree (counting multiplicity of course); the same polynomial over the reals may have fewer because some of the roots may not be real. It is certainly ''wrong'' to talk about a polynomial defined over a "set" (copia), because a mere set of numbers does not have operations defined on it. [[Usor:Amahoney|A. Mahoney]] ([[Disputatio Usoris:Amahoney|disputatio]]) 19:15, 14 Aprilis 2016 (UTC)