Izračunljivi metrički prostori

master's thesis

• Author: Anita Kuruc
• Mentor: Zvonko Iljazović (mentor)
• Committee member: Zvonko Iljazović (predsjednik povjerenstva)
• Committee member: Tina Bosner (član povjerenstva)
• Committee member: Matija Kazalicki (član povjerenstva)
• Committee member: Pavle Pandžić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2015-09-24, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom diplomskom radu pokazali smo kako je teorija izračunljivosti dobila primjenu i na metričke prostore. Prije toga izveli smo neke bitne zaključke kako ona djeluje na skup prirodnih brojeva, skup racionalnih brojeva, skup cijelih brojeva i skup realnih brojeva. Kasnije smo promatrali strukture izračunljivosti te pojam linearne metrike. Bitno je napomenuti da iako relativno nova grana znanosti, teorija izračunljivosti poprima široke primjene kako u matematici tako i u ostalim znanostima i zasigurno će još neko vrijeme ostati zanimljiv predmet istraživanja.

Abstract (english)

In this master thesis, we have shown how the theory of computation was included in the field of metric space. Before that, we carried out some important conclusions how this theory acts on the set of natural numbers, the set of rational numbers, the set of integers and the set of real numbers. Later we watched the structure of computation and the term of linear metrics. It is important to mention that, although a relatively new branch of science, the theory of computation has wide applications both in mathematics and in other sciences, and it will certainly remain an interesting object of study for time to come.

• Keywords: teorija izračunljivosti; metrički prostori; linearna metrika
• Keywords (english): theory of computation; metric spaces; linear metrics
• Language: croatian
• URN:NBN: urn:nbn:hr:217:044235
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2019-02-22 09:14:46