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WikiProject Mathematics (Rated Start-class, Low-importance)
WikiProject Mathematics
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Mathematics rating:
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 Field:  Algebra

What contradiction(s?) as implied by the "may not be consistent" arises due to the allowance of coefficients?

The monomials in one unknown X are therefore the powers Xn for n = 0, 1, 2,...

Doesn't that "0" imply that coefficients are permitted?

It implies that 1 is a monomial.

Charles Matthews 14:58, 5 Nov 2003 (UTC)

Right, right, I was just coming back to remove my dumb comment :)

'Diverge' - an English subjunctive, no?

Charles Matthews 15:20, 5 Nov 2003 (UTC)

Oh. Sorry. Didn't realize it was subjunctive.

Definition: what kind of powers?[edit]

"is a product of powers of variables". Do these have to be nonzero integral powers? Is x√x a monomial? What about 1/x ?Gphilip (talk) 08:15, 3 December 2012 (UTC)

The first sentence says "in the context of polynomials". Thus, implicitly, non negative integer exponents are assumed. I agree that it would be better to make this assumption explicit. On the other hand monomials with negative exponents are considered in the context of Laurent polynomials and monomials with rational numbers as exponents are considered in the context pf Puiseux series. I'll edit the lead accordingly. D.Lazard (talk) 09:59, 3 December 2012 (UTC)