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- W1553242510 abstract "Simplex is a geometric figure which is extensively used in economic theory. Depending on the needs of the theory, a simplex S is sometimes cut with a hyperplane H, which separates it into two parts T and T'. It may be useful to appreciate the manner in which the simplex in cut. One mode of comparison is to evaluate the size of the different subsets by calculating their volumes. The aim of this paper is to give a simple expression of the ratio : volume of T/volume of S. Furthermore, when S is the unit simplex and H goes through O, this expression becomes a nice analytical formula. By the way, we establish directly a remarkable identity of real numbers." @default.
- W1553242510 created "2016-06-24" @default.
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- W1553242510 date "2000-01-01" @default.
- W1553242510 modified "2023-09-27" @default.
- W1553242510 title "Cutting a Simplex with a Hyperplane Question of Volume" @default.
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