Posplošitev Routhovega izreka
delo diplomskega seminarja
Abstract
Cilj diplomske naloge je posplošiti oba Routhova izraza. Najprej to naredimo v ravnini za trikotnik, kjer oba izraza posplošimo na samo enega, potem pa še v prostoru, sedaj za tetraeder. Na koncu še izpeljemo formuli za Routhova izraza v večrazsežnem simpleksu.
Keywords
matematika;Routhov izrek;trikotniki;Menelajev izrek;Cevov izrek;tetraedri;simpleksi;
Data
| Language: | Slovenian |
|---|---|
| Year of publishing: | 2023 |
| Typology: | 2.11 - Undergraduate Thesis |
| Organization: | UL FMF - Faculty of Mathematics and Physics |
| Publisher: | [M. Možina] |
| UDC: | 514 |
| COBISS: |
165136131
|
| Views: | 239 |
| Downloads: | 14 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Secondary language: | English |
|---|---|
| Secondary title: | Generalization of Routh's theorem |
| Secondary abstract: | The aim of this thesis is to generalize both of Routh’s expressions. Firstly, we do this on a plane for a triangle, where we generalize both expressions into one, then we do it in three-dimensional space. Lastly, we derive the formulas for Routh’s expressions in multi-dimensional simplex. |
| Secondary keywords: | Routh theorem;triangles;Menelaus theorem;Ceva theorem;tetrahedron;simplex; |
| Type (COBISS): | Final seminar paper |
| Study programme: | 0 |
| Thesis comment: | Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za matematiko, Matematika - 1. stopnja |
| Pages: | 32 str. |
| ID: | 19956533 |
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