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Weighted Brianchon-Gram Decomposition
Published online by Cambridge University Press: 20 November 2018
Abstract
We give in this note a weighted version of Brianchon and Gram's decomposition for a simple polytope. We can derive from this decomposition the weighted polar formula of Agapito and a weighted version of Brion's theorem, in a manner similar to Haase, where the unweighted case is worked out. This weighted version of Brianchon and Gram's decomposition is a direct consequence of the ordinary Brianchon–Gram formula.
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- Research Article
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- Copyright © Canadian Mathematical Society 2006
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