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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.18348 |
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Table of Contents:
- When a tropical rational function φon R^n is given, we can represent it as φ=f-g with tropical polynomials f and g. We develop the duality theorem for tropical rational functions to define the volume of the pair (f, g). We show that when n=1, we can find a representation of φ(x) \neq -\infty as f(x)-g(x) with the pair (f, g) of minimum volume. The dual subdivision of f(x) \oplus (yg(x)) is unique up to translation, but when n=2 this is not true.