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Research Article Open access CC BY 4.0

A Note on Gordan's Theorem

Cherng-Tiao Perng

Journal of Advances in Mathematics and Computer Science · pp. 1–6 · Published 26 Jul 2015

10.9734/BJMCS/2015/19134

Abstract

Inspired by Gale's proof of Farkas's lemma, this expository note aims to give a very simple and intuitive proof of Gordan's theorem and the equivalence of this theorem to Farkas's lemma and some formulations of the separating hyperplane theorems. The tool we have employed is limited to only very simple linear algebra over the eld of real numbers.

Gordan's theorem Farkas's lemma separating hyperplane theorem Stiemke's theorem

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