| Title: | Hadwiger-Finslerjeva neenakost v trikotniku |
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| Authors: | ID Lesjak, Suzana (Author)
ID Hvala, Bojan (Mentor) More about this mentor...  |
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| Files: |  UN_Lesjak_Suzana_2016.pdf (856,74 KB)
MD5: DA631C5FB3748B39F14CC0FE4BC7745A
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| Language: | Slovenian |
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| Work type: | Undergraduate thesis |
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| Typology: | 2.11 - Undergraduate Thesis |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | V diplomskem delu sta dokazani osnovna in dodatna Hadwiger-Finslerjeva neenakost ter predstavljene nekatere njune posledice. Gre za niz neenakosti, ki veljajo za stranice, dolžine daljic in kote v trikotniku. Predstavljena je neenakost, sorodna Hadwiger-Finslerjevi neenakosti in obravnavan odnos med njima. V zaključnem poglavju je predstavljena geometrijska konstrukcija, na podlagi katere ustvarimo rekurzivno zaporedje trikotnikov. Z analizo kotov in stranic trikotnikov v tem zaporedju znova dokažemo osnovno Hadwiger-Finslerjevo neenakost. |
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| Keywords: | neenakosti v trikotniku, Hadwiger-Finslerjeva neenakost, Schurova neenakost, Cauchy-Schwarzova neenakost, neenakosti med sredinami |
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| Place of publishing: | Maribor |
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| Publisher: | [S. Lesjak] |
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| Year of publishing: | 2016 |
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| PID: | 20.500.12556/DKUM-62274 |
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| UDC: | 514.112.3(043.2) |
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| COBISS.SI-ID: | 22723848 |
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| NUK URN: | URN:SI:UM:DK:WRYMMJMO |
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| Publication date in DKUM: | 11.11.2016 |
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| Views: | 1649 |
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| Downloads: | 123 |
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| Metadata: |    |
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| Categories: | FNM
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