Tribonacciho kód
| Thesis title in Czech: | Tribonacciho kód |
|---|---|
| Thesis title in English: | Tribonacci code |
| Key words: | Tribonacciho čísla|dlaždice|rekurze|antidiference|diskrétní počet|Tribonacciho reprezentace |
| English key words: | Tribonacci numbers|tilings|recursion|indefinite sum|discrete calcu- lus|Tribonacci representation |
| Academic year of topic announcement: | 2024/2025 |
| Thesis type: | diploma thesis |
| Thesis language: | čeština |
| Department: | Department of Mathematics Education (32-KDM) |
| Supervisor: | doc. RNDr. Antonín Slavík, Ph.D., DSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 22.06.2025 |
| Date of assignment: | 22.06.2025 |
| Confirmed by Study dept. on: | 22.06.2025 |
| Date and time of defence: | 05.09.2025 08:30 |
| Date of electronic submission: | 08.07.2025 |
| Date of submission of printed version: | 08.07.2025 |
| Date of proceeded defence: | 05.09.2025 |
| Opponents: | Mgr. Jan Sedlák |
| Guidelines |
| Práce představí vybrané úlohy vedoucí na Tribonacciho čísla (úlohy o dlaždicích, Darwinova úloha o růstu sloní populace, atd.). Hlavní část bude věnována dokazování identit s Tribonacciho čísly, a to jednak pomocí kombinatorické interpretace s dlaždicemi (počítání dvěma způsoby), jednak pomocí nástrojů diskrétního kalkulu. |
| References |
| A. T. Benjamin, J. J. Quinn: Proofs that really count. The art of combinatorial proof, Mathematical Association of America, 2003.
J. Podani, Á. Kun, A. Szilágyi: How Fast Does Darwin’s Elephant Population Grow?, J. of Hist. of Bio. 51 (2018), 259–281. A. Slavík: Discrete Calculus and Weighted Fibonacci and Tribonacci Sums, Amer. Math. Monthly (2025), https://doi.org/10.1080/00029890.2025.2495528. H. J. H. Tuenter: In Search of Comrade Agronomof: Some Tribonacci History, Amer. Math. Monthly 130 (2023), 708–719. |