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: <math>h_i(x) = 1,\quad i = 1,\dots,p</math>
where <math>f_0,\dots,f_m</math> are [[posynomials]] and <math>h_1,\dots,h_p</math> are [[monomials]]. It should be noted that in the context of geometric programming (unlike all other disciplines), a monomial is defined as a function <math>f:\mathbb{R}^n \to \mathbb{R}</math> with <math> \mathrm{dom} \ f = \mathbb{R}_{++}^n </math> defined as
:<math>f(x) = c x_1^{a_1} x_2^{a_2} \cdots x_n^{a_n} </math>
where <math> c > 0 \ </math> and <math>a_i \in \mathbb{R} </math>.
==Convex form==
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