brion’s theorem
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2016 ◽  
Vol 50 (2) ◽  
pp. 98-106 ◽  
Author(s):  
I. Yu. Makhlin
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2006 ◽  
Vol 49 (2) ◽  
pp. 161-169 ◽  
Author(s):  
J. Agapito

AbstractWe 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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