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单词 WeylMinkowskiTheorem
释义

Weyl-Minkowski theorem


Theorem (Weyl–Minkowski).

A subset of Euclidean space is a convex polytope if and only if it is a bounded polyhedron.

References

  • 1 Minkowski, H. Allgemeine Lehrsätze über die konvexe Polyeder, Nachr. Ges. Wiss., Göttingen, 1897, 198–219.
  • 2 Weyl, H. Elementare Theorie der konvexen Polyeder, Comment. Math. Helvetici, 1935, 7
  • 3 Ziegler, G., Lectures on polytopes, Springer-Verlag, 1997.
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