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Questions related to the field of Combinatorics called Matroid Theory. Relevant topics include matroids in Combinatorial Optimization, Lattice Theory, Algebraic Geometry, Polyhedral Theory, Rigidity, and Algorithms. For questions about Oriented Matroids, the oriented-matroids tag may be used.
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Definition of the Bergman fan
From Matroid polytopes, nested sets and Bergman fans, Feichtner and Sturmfels, just above Proposition 2.5 on the bottom of page 4:
Two vectors $w,w' \in \mathbb{R}^n$ are considered equivalent for …