Newton polytope

Summary

Key Facts

• Newton polytope's image is recorded as Diagram of a Newton Polygon Convex hull.svg^[1].
• Isaac Newton is named after Newton polytope^[2].
• Newton polytope's subclass of is recorded as integral polytope^[3].
• Newton polytope's defining formula is recorded as \operatorname{Newt}\left(\sum_kc_k\mathbf x^{\mathbf a_k}\right)=\left{\sum_k\alpha_k\mathbf a_k\Bigg|\sum_k\alpha_k=1,\;\forall j\colon\alpha_j\ge0\right}^[4].
• Newton polytope's Google Knowledge Graph ID is recorded as /g/11h_w1tjfn^[5].
• Newton polytope's in defining formula is recorded as \sum_kc_k\mathbf x^{\mathbf a_k}^[6].
• Newton polytope's in defining formula is recorded as \operatorname{Newt}^[7].
• Newton polytope's in defining formula is recorded as \left{\sum_k\alpha_k\mathbf a_k\Bigg|\sum_k\alpha_k=1,\;\forall j\colon\alpha_j\ge0\right}^[8].