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Computing the Volume of Polytropes

Computing the Volume of Polytropes

来源:Arxiv_logoArxiv
英文摘要

We apply an algorithm for measuring the volume of polytopes described by Jim Lawrence to polytropes. By using a tropical form of Cramer's rule, we found an efficient way to find all pseudovertices which are necessary for computing the volume. Due to the limited possibilities for hyperplanes of polytropes, this led to a simplification of the algorithm, decreasing the time complexity significantly.

Killian Hong-Minh、Paul Sheehan

数学

Killian Hong-Minh,Paul Sheehan.Computing the Volume of Polytropes[EB/OL].(2025-05-14)[2025-07-20].https://arxiv.org/abs/2505.10587.点此复制

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