(Q99705926)

English

Newton polytope

integral polytope associated with a multivariate polynomial

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Newton polytope for 3x²y³−xy²+2x²y²−x³y (English)

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\operatorname {Newt} \left(\sum _{k}c_{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}\geq 0\right\}

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\sum _{k}c_{k}\mathbf {x} ^{\mathbf {a} _{k}}

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\operatorname {Newt}

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\left\{\sum _{k}\alpha _{k}\mathbf {a} _{k}{\Bigg |}\sum _{k}\alpha _{k}=1,\;\forall j\colon \alpha _{j}\geq 0\right\}

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