The Maximum of the Volume of a Part of a Cevian Simplex
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911356886712320 |
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| author | Guliyeva, Zamina Aliyev, Yagub |
| author_facet | Guliyeva, Zamina Aliyev, Yagub |
| contents | The cevians passing through a point in a simplex create a cevian simplex, which is divided by these cevians into smaller simplices. We consider the problem about the maximum of the ratio of the sum of the volumes of some of these smaller simplices by the volume of the reference simplex. The special case of tetrahedron is given as an example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00876 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Maximum of the Volume of a Part of a Cevian Simplex Guliyeva, Zamina Aliyev, Yagub General Mathematics 26D07, 51M16, 51M25 The cevians passing through a point in a simplex create a cevian simplex, which is divided by these cevians into smaller simplices. We consider the problem about the maximum of the ratio of the sum of the volumes of some of these smaller simplices by the volume of the reference simplex. The special case of tetrahedron is given as an example. |
| title | The Maximum of the Volume of a Part of a Cevian Simplex |
| topic | General Mathematics 26D07, 51M16, 51M25 |
| url | https://arxiv.org/abs/2601.00876 |