prikaz prve stranice dokumenta Konveksni skupovi
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master's thesis
Konveksni skupovi
2021. urn:nbn:hr:166:630332
Smoljko, Iva
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Smoljko, I. (2021). Konveksni skupovi (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:630332

Smoljko, Iva. "Konveksni skupovi." Master's thesis, University of Split, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:166:630332

Smoljko, Iva. "Konveksni skupovi." Master's thesis, University of Split, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:166:630332

Smoljko, I. (2021). 'Konveksni skupovi', Master's thesis, University of Split, Faculty of Science, accessed 29 December 2024, https://urn.nsk.hr/urn:nbn:hr:166:630332

Smoljko I. Konveksni skupovi [Master's thesis]. Split: University of Split, Faculty of Science; 2021 [cited 2024 December 29] Available at: https://urn.nsk.hr/urn:nbn:hr:166:630332

I. Smoljko, "Konveksni skupovi", Master's thesis, University of Split, Faculty of Science, Split, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:166:630332

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Metadata
TitleKonveksni skupovi
Title (english)Convex sets
AuthorIva Smoljko
MentorMilica Klaričić Bakula (mentor)
Committee memberMilica Klaričić Bakula (predsjednik povjerenstva)
Committee memberJurica Perić (član povjerenstva)
Committee memberDino Peran (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2021-07-15, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu upoznajemo se s pojmom konveksnosti skupova i nekim njihovim osnovnim svojstvima. U prvom poglavlju definiramo konveksnost, promatramo koje je operacije čuvaju i uvodimo pojmove konveksne ljuske i zatvorene konveksne ljuske. U drugom se poglavlju bavimo relativnom nutrinom, definiramo asimptotski konus, ekstremalne točke i izložene stranice. Treće poglavlje govori o operatoru projekcije i njegovim svojstvima. U četvrtom poglavlju promatramo razdvajanje konveksnih skupova i njegove primjene, a u zadnjem poglavlju pokazujemo kako možemo aproksimirati konveksne skupove.
Abstract (english)
In this thesis we investigate convex sets and their basic properties. In the first chapter we define convexity of sets, study operations that preserve it and introduce the notions of convex hull and closed convex hull. In the second chapter we deal with relative interior, asymptotic cones, extreme points and exposed surfaces. The third chapter is reserved for projections and their properties. In the fourth chapter we study separations of convex sets and its applications, and in the last chapter approximations of convex sets.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:630332
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching, major in statistics and computing
Course: major in computing
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2021-07-16 10:27:55