20.500.12556/RUL-180559 Osnove tropske geometrije Basics of Tropical Geometry V nalogi je napravljen pregled osnovnih pojmov tropske geometrije. Definiramo tropski polkolobar, tropski polinom, tropsko ničlo, tropsko krivuljo in njeno dualno subdivizijo. Navedemo in pokažemo pomembne lastnosti in trditve, ki veljajo za omenjene strukture. Prav tako vključimo kratka opisa MATLAB programov, s katerima izrisujemo tropske krivulje in njihove dualne subdivizije. Cilj naloge je razumevanje pojmov, tako da je velik poudarek na intuicijah in zgledih. Bralec za razumevanje naloge ne potrebuje predznanja iz algebraične geometrije, je pa pričakovano, da je dobro seznanjen z osnovami linearne algebre. In the thesis we establish an overview of the basic concepts of tropical geometry. We define the tropical semiring, the tropical polynomial, the tropical zero, the tropical curve and its dual subdivision. We name and prove important properties of the structures mentioned. We also include brief descriptions of MATLAB programs, which we use to plot tropical curves and their dual subdivisions. The goal of the thesis is to develop a robust understanding of the concepts. To achieve this, there is an emphasis on intuitions and examples. The reader is not expected to have a preexisting knowledge base of algebraic geometry, but they are expected to be familiar with the basics of linear algebra. tropski polkolobar tropski polinom tropska krivulja Newtonov poligon dualna subdivizija tropical semiring tropical polynomial tropical curve Newton polygon dual subdivision true false false Slovenski jezik Angleški jezik Diplomsko delo/naloga 2026-03-11 10:20:09 2026-03-11 10:20:15 2026-04-16 06:37:56 0000-00-00 00:00:00 2026 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 38040 275366403 Brantusa_Gregor_-_Osnove_tropske_geometrije.pdf Brantusa_Gregor_-_Osnove_tropske_geometrije.pdf 1 2831BD7411B16CA263995933971CA58F 9d10597c1c7f367cf2875942aeafa65c791a5f0d14e5fc1684e32a067330fc08 87b8b7e4-1d2b-11f1-82e4-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=230017 Fakulteta za računalništvo in informatiko 0 0 0