High Quality Content by WIKIPEDIA articles! A "signomial" is an algebraic function of one or more independent variables. It is perhaps most easily thought of as an algebraic extension of multi-dimensional polynomials -- an extension that permits exponents to be arbitrary real numbers (rather than just non-negative integers) while requiring the independent variables to be strictly positive (so that division ...Full description
High Quality Content by WIKIPEDIA articles! A "signomial" is an algebraic function of one or more independent variables. It is perhaps most easily thought of as an algebraic extension of multi-dimensional polynomials -- an extension that permits exponents to be arbitrary real numbers (rather than just non-negative integers) while requiring the independent variables to be strictly positive (so that division by zero and other inappropriate algebraic operations are not encountered). Formally, let X be a vector of real, positive numbers. X = (x_1, x_2, x_3, dots, x_n)^T Then a signomial function has the form f(x_1, x_2, dots, x_n) = sum_{i=1}^M left(c_i prod_{j=1}^N x_j^{a_{ij}}right) where the coefficients ck and the exponents aij are real numbers. Signomials are closed under addition, subtraction, multiplication, and scaling.