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undergraduate thesis
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Separation and Representation of Convex Sets
Ivan Hrenek (2019)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Probability and Mathematical Statistics Research Group
Cite this document

Hrenek, I. (2019). Separacija i reprezentacija konveksnih skupova (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:319730

Hrenek, Ivan. "Separacija i reprezentacija konveksnih skupova." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:319730

Hrenek, Ivan. "Separacija i reprezentacija konveksnih skupova." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:319730

Hrenek, I. (2019). 'Separacija i reprezentacija konveksnih skupova', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 21 November 2019, https://urn.nsk.hr/urn:nbn:hr:126:319730

Hrenek I. Separacija i reprezentacija konveksnih skupova [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2019 November 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:319730

I. Hrenek, "Separacija i reprezentacija konveksnih skupova", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:319730

Metadata
TitleSeparacija i reprezentacija konveksnih skupova
Title (english)Separation and Representation of Convex Sets
AuthorIvan Hrenek
MentorDragana Jankov Maširević (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics)
(Probability and Mathematical Statistics Research Group)
Osijek
Defense date and country2019-09-30, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
U ovom završnom radu bavit ćemo se konveksnim skupovima, njihovom separacijom i reprezentacijom. Prvo ćemo navesti neke osnovne matematičke tvrdnje i pojmove koji vrijede za skupove općenito, a onda ćemo ih povezati sa konveksnim skupovima. Zatim ćemo pomoću toga pokazati kako i uz koje uvjete možemo separirati konveksne skupove i primjeniti separaciju na primjeru linearnog programiranja. Na kraju ćemo navesti drugi način za prikaz konveksnih skupova.
Abstract (english)
In this bachelor thesis we will deal with convex sets, their separation and representation. First we will give some basic mathematical statements and terms that are usually applied to sets in general and then we will relate them with convex sets. Then, we will use that to show how and under what conditions can we separate convex sets and apply that on the example of linear programming. Finally, we will state another way to represent convex sets.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:319730
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2019-10-21 07:18:16