Elmsleyev problem

Šućur, Jurica

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undergraduate thesis

Elmsleyev problem

Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. urn:nbn:hr:126:944292

Šućur, Jurica

Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Computer Science and Machine Learning Research Group

Cite this document

APA 6th Edition

Šućur, J. (2018). Elmsleyev problem (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:944292

MLA 8th Edition

Šućur, Jurica. "Elmsleyev problem." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:944292

Chicago 17th Edition

Šućur, Jurica. "Elmsleyev problem." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:944292

Harvard

Šućur, J. (2018). 'Elmsleyev problem', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 07 February 2025, https://urn.nsk.hr/urn:nbn:hr:126:944292

Vancouver

Šućur J. Elmsleyev problem [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2018 [cited 2025 February 07] Available at: https://urn.nsk.hr/urn:nbn:hr:126:944292

IEEE

J. Šućur, "Elmsleyev problem", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:126:944292

Cite this item: https://urn.nsk.hr/urn:nbn:hr:126:944292

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Metadata

Title	Elmsleyev problem
Title (english)	Elmsley's Problem
Author	Jurica Šućur
Mentor	Snježana Majstorović (mentor)
Granter	Josip Juraj Strossmayer University of Osijek Department of Mathematics (Chair of Applied Mathematics and Computer Science) (Computer Science and Machine Learning Research Group) Osijek
Defense date and country	2018-09-28, Croatia
Scientific / art field, discipline and subdiscipline	NATURAL SCIENCES Mathematics Discrete and Combinatorial Mathematics
Abstract	Ovaj završni rad bavi se ulogom matematike u miješanju igraćih karata, konkretno Elmsleyevim problemom. Taj problem se odnosi na jedno od najtežih načina miješanja karata, popularno savršeno miješanje. Osim njega, detaljno ćemo objasniti i razne druge načine kako promiješati karte. Kod savršenog miješanja, pokušat ćemo odgovoriti na sljedeća pitanja: koliki je najmanji broj istovrsnih miješanja koje dovode karte do početne pozicije? Postoji li niz savršenih miješanja koji kartu s vrha špila dovode na odabranu poziciju u špilu? Za kraj ostavljamo glavno pitanje koje je postavio Elmsley: može li se nizom savršenih miješanja karta s pozicije p prebaciti na poziciju q? U radu ćemo ukratko opisati grupu generiranu savršenim miješanjima, a također ćemo spomenuti i neke od primjena koncepta savršenog miješanja.
Abstract (english)	This bachelor’s thesis considers the role of mathematics in shuffling playing cards, specifically with the Elmsley’s problem. This problem is concerned with one of the most difficult shuffle methods, the popular perfect shuffling. Besides this problem, we will explain in details various types of card shuffling. Concerning perfect shuffle, we will try to give an answer to the following questions: what is the smallest number of perfect shuffles of the same kind required to bring deck of cards in the initial position? Is there a sequence of perfect shuffles which bring top card to the given position in a deck? The last question is the famous Elmsley’s problem: is there a sequence of perfect shuffles that bring card at the position p to the position q? In this thesis we will also shortly describe group generated by the sequence of perfect shuffles and mention some applications of the concept of perfect shuffling.
Keywords
Keywords (english)
Language	croatian
URN:NBN	urn:nbn:hr:126:944292
Study programme	Title: 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 resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Repository	Repository of School of Applied Mathematics and Informatics
Created on	2018-10-17 06:03:44