FMF, Mathematical Library, Lj. (MAKLJ)
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Iteracije v elementarni geometriji : magistrsko deloIvanec, DeziderMagistrsko delo obravnava lastnosti zaporedja orientiranih večkotnikov v kompleksni ravnini. To zaporedje dobimo tako, da orientiranemu večkotniku priredimo orientiran večkotnik, katerega oglišča ... razdelijo stranice prvega v danem razmerju. V 1. poglavju predstavimo nekaj motivacijskih primerov in zastavimo nekaj vprašanj, na katera odgovorimo v nadaljevanju. V 2. poglavju predstavimo večkotnik z zaporedjem kompleksnih števil, operator, ki večkotniku priredi njegovega naslednika, pa s krožno matriko. Raziščemo še lastne vrednosti in lastne vektorje krožne matirke. Spoznamo tudi, kako izrazimo večkotnik z lastnimi vektorji. V 3. poglavju spoznamo afino pravilne večkotnike, ki igrajo pomembno vlogo v nadaljevanju. V 4. poglavju se ukvarjamo s periodičnostjo. Zanima nas, v katerih primerih je večkotnik podoben kakšnemu nasledniku. V 5. poglavju spoznamo pojem delne periodičnosti in povezavo s periodičnostjo. V 6. poglavju dobimo odgovore na večino vprašanj, ki smo jih zastavili v uvodu. V 7. poglavju raziščemo, kakšno je razmerje med ploščino večkotnika in ploščino njegovega naslednika. V 8. poglavju predstavimo dve posplošitvi. V 9. poglavju prikažemo uporabo GeoGebre pri naših raziskavah.Type of material - master's thesis ; adult, seriousPublication and manufacture - Ljubljana : [D. Ivanec], 2016Language - slovenianCOBISS.SI-ID - 17770073
Author
Ivanec, Dezider
Other authors
Lavrič, Boris
Topics
matematika |
periodičnost |
večkotniki |
perioda |
krožne matrike |
afino podoben |
delna periodičnost |
ploščine |
mathematics |
periodicity |
polygons |
period |
circulant matrix |
affine regular |
eventual periodicity |
areas
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Ivanec, Dezider | ![]() |
Lavrič, Boris | 05000 |
Source: Personal bibliographies
and: SICRIS
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