In mathematics, a positive polynomial (respectively non-negative polynomial) on a particular set is a polynomial whose values are positive (respectively non-negative) on that set. Precisely, Let p {\displaystyle p} be a polynomial in n {\displaystyle n} variables with real coefficients and let S {\displaystyle S} be a subset of the n {\displaystyle n} -dimensional Euclidean space R n {\displaystyle \mathbb {R} ^{n}} .
In mathematics, a positive polynomial (respectively non-negative polynomial) on a particular set is a polynomial whose values are positive (respectively non-negative) on that set. Precisely, Let p {\displaystyle p} be a polynomial in n {\displaystyle n} variables with real coefficients and let S {\displaystyle S} be a subset of the n {\displaystyle n} -dimensional Euclidean space R n {\displaystyle \mathbb {R} ^{n}} .
Source: Wikipedia "Positive polynomial" · CC BY-SA 4.0
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