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undergraduate thesis
Parcijalne sume harmonijskog niza u programskom jeziku C
2019. urn:nbn:hr:200:363572
Uršan, Josip
Josip Juraj Strossmayer University of Osijek
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
Department of Core Courses
Chair of Mathematics, Physics and Mechanical Engineering

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Uršan, J. (2019). Parcijalne sume harmonijskog niza u programskom jeziku C (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek. Retrieved from https://urn.nsk.hr/urn:nbn:hr:200:363572

Uršan, Josip. "Parcijalne sume harmonijskog niza u programskom jeziku C." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2019. https://urn.nsk.hr/urn:nbn:hr:200:363572

Uršan, Josip. "Parcijalne sume harmonijskog niza u programskom jeziku C." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2019. https://urn.nsk.hr/urn:nbn:hr:200:363572

Uršan, J. (2019). 'Parcijalne sume harmonijskog niza u programskom jeziku C', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, accessed 02 March 2025, https://urn.nsk.hr/urn:nbn:hr:200:363572

Uršan J. Parcijalne sume harmonijskog niza u programskom jeziku C [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek; 2019 [cited 2025 March 02] Available at: https://urn.nsk.hr/urn:nbn:hr:200:363572

J. Uršan, "Parcijalne sume harmonijskog niza u programskom jeziku C", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:200:363572

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Metadata
TitleParcijalne sume harmonijskog niza u programskom jeziku C
Title (english)Partial sum of harmonic series in C programming language
AuthorJosip Uršan
MentorTomislav Rudec (mentor)
MentorAlfonzo Baumgartner (mentor)
Committee memberTomislav Rudec (predsjednik povjerenstva)
Committee memberZdravko Krpić (član povjerenstva)
Committee memberDražen Slišković (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
(Department of Core Courses)
(Chair of Mathematics, Physics and Mechanical Engineering)
Osijek
Defense date and country2019-09-19, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Process Computing
Abstract
U ovom radu predstavljeni su osnovni pojmovi vezani uz harmonijski niz, dvije različite metode za izračun parcijalne sume, te dvije različite metode za izračun broja elemenata potrebnog za dostizanje zadane parcijalne sume. Napisan je programski kod u C-u i Python-u, te je uspoređen na temelju izračunatih vrijednosti te utrošenog vremena. Pokazano je kako vrijeme iteracije iznad određenih vrijednost parcijalnih suma vrlo brzo raste, te postaje neekonomično za uporabu. Formule za izračun parcijalne sume daju točnije rezultate s porastom vrijednosti tražene parcijalne sume. Fundamentalnih razlika između rezultata ostvarnih C-om i Python-om nema, ali jasne razlike se javljaju u vremenima iteracija ostvarnih C-om i Python-om. C se pokazao kao uvelike bolji izbor kada je u pitanju izračun parcijalne sume iteracijom. Kako bi se poboljšali ostvareni rezultati, trebalo bi implementirati neku od biblioteka koja nudi proizvoljnu preciznost podataka, te izvršiti sumaciju i skladištenje prvih petnaest do dvadeset parcijalnih suma, kako bi se izračun većih parcijalnih suma olakšao i ubrzao.
Abstract (english)
In this paper, basic terms regarding harmonic series have been presented, as well as two different methods of partial sum calculation, and two different methods of calculating the amount of series members needed to calculate the wanted partial sum. Program code has been written in C and Python, and was compared using calculated values and time spent running the code. It was shown that the iteration time grows significantly when certain partial sum values have been exceeded, thus becoming very time consuming. The growth of wanted partial sum causes our formulas to grow in accuracy. There are no fundamental differences between values calculated using C and Python, but there are clear differences in iteration times achieved by C and Python. C is a tremendously better choice when it comes to calculating partial sums of harmonic series using iteration. In order to improve results, one of the libraries offering arbitrary precision should be implemented. Also, first fifteen to twenty partial sums should be summed and stored for later use, in order to facilitate higher value partial sum calculations.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:200:363572
Study programmeTitle: Undergraduate University Study Programme
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike)
Type of resourceText
File originBorn digital
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Created on2019-11-14 07:54:55