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The tropical analogue of polar cones

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 نشر من قبل Ricardo David Katz
 تاريخ النشر 2009
  مجال البحث
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We study the max-plus or tropical analogue of the notion of polar: the polar of a cone represents the set of linear inequalities satisfied by its elements. We establish an analogue of the bipolar theorem, which characterizes all the inequalities satisfied by the elements of a tropical convex cone. We derive this characterization from a new separation theorem. We also establish variants of these results concerning systems of linear equalities.



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