Weighted Brianchon-Gram Decomposition
Weighted Brianchon-Gram Decomposition
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. …