In this note, we give a counterexample to show that Hadamard's inequality does not hold on a polyhedron in multi-dimensional Euclidean space. Then we give a sufficient condition on the polyhedron for Hadamard's inequality to hold. Finally, we provide an approach to create a large class of polyhedra
β¦ LIBER β¦
A generalization of Minkowski's inequality for plane convex sets
β Scribed by G. D. Chakerian; J. R. Sangwine-Yager
- Publisher
- Springer
- Year
- 1979
- Tongue
- English
- Weight
- 350 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0046-5755
No coin nor oath required. For personal study only.
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Based on the properties of star polygon and that the convex polygon is a special kind of star polygon, with the star point as the origin and the two lines respectively parallel to the x-axis and y-axis as coordinate axis, a relative coordinate system is built and the planar area is divided into four