Nizovi i kružnice

master's thesis

• Author: Mirjam Škegro
• Mentor: Tomislav Došlić (mentor)
• Committee member: Željka Milin Šipuš (predsjednik povjerenstva)
• Committee member: Nikola Sandrić (član povjerenstva)
• Committee member: Dražen Adamović (član povjerenstva)
• Committee member: Tomislav Došlić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2019-02-21, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu promatramo kružnice koje se dodiruju, a čiji su polumjeri unaprijed definirani kao niz brojeva. U prvom dijelu formuliran je problem, dok su u drugom dijelu iskazane definicije i teoremi potrebni za razumijevanje rada. U trećem dijelu rada prikazani su očiti rezultati. Koristeći programski software Matlab numerički pristupamo problemu u četvrtom dijelu, te taj pristup pokazujemo na primjerima. U završnom, petom dijelu egzaktno rješavamo problem te dajemo ocjenu konvergencije središta za konvergentne nizove.

Abstract (english)

In this thesis, we observe the circles that are touched and whose diameters are predetermined as a series of numbers. In first part the problem is formulated, while the second part contains definitions and theorems needed to understand this thesis. Third part of thesis presents obvious results. Using Matlab software we approach the problem in the fourth part numerically, and this approach is shown in the examples. In the final, fifth part, we solve the problem exactly and give the convergence of centers for series which converge.

• Keywords: kružnica; niz brojeva; Matlab; konvergencija središta
• Keywords (english): circle; series of numbers; Matlab; convergence of centers
• Language: croatian
• URN:NBN: urn:nbn:hr:217:552717
• Study programme: Title: Mathematical Statistics; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2019-09-05 09:37:22