What does "posynomial" mean?

A function of the form f(x_1,x_2,…,x_n)=∑ₖ₌₁ᴷc_kx_1^(a_1k)⋯x_n^(a_nk), where all the coordinates x_i and coefficients c_k are positive real numbers, and the exponents a_ik are real numbers.

Posynomial

noun

noun ·Rare ·Advanced level

Definitions

Noun

1
A function of the form f(x_1,x_2,…,x_n)=∑ₖ₌₁ᴷc_kx_1^(a_1k)⋯x_n^(a_nk), where all the coordinates x_i and coefficients c_k are positive real numbers, and the exponents a_ik are real numbers.

Etymology

Blend of positive + polynomial.

Related phrases

real number

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.