Kombinatorni problem prebrojavanja svih razmještaja

undergraduate thesis

• Title (english): Combinatorial Distribution Problem
• Author: Marin Vrkić
• Mentor: Andrea Aglić Aljinović (mentor)
• Committee member: Andrea Aglić Aljinović (član povjerenstva)
• Committee member: Domagoj Kovačević (član povjerenstva)
• Committee member: Josip Žubrinić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Electrical Engineering and Computing; Zagreb
• Defense date and country: 2019-06-19, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Electrical Engineering

Abstract

U ovom radu opisan je i analiziran problem prebrojavanja svih razmještaja. Problem je podijeljen u 12 slučajeva. Korištene su pretpostavke o različitosti ili identičnosti lopta (objekta) i kutija. Također su korištene pretpostavke o tome jesu li prazne kutije dozvoljene ili nisu. Objašnjeni i uvedeni su termini poput particija broja, particija skupa, Stirlingov broj druge vrste, itd. koji su korišteni u rješavanju različitih slučajeva ovog problema.

Abstract (english)

This paper describes and analyzes the problem of counting all placements. The problem is divided into 12 cases. The assumptions on the difference or identity of the ball (object) and the box are used. The assumptions on whether empty boxes are allowed or not are also used. New terms such as partition numbers, partitions, Stirling's number of other types, etc. are explained and introduced which are used to solve different cases of this problem.

• Keywords: slabi rasporedi; rasporedi; particija skupa; Stirlingov broj druge vrste; Bellov broj; particija broja
• Keywords (english): weak composition; composition; partitions; Stirling numbers of the second kind; Bell's number; partition number
• Language: croatian
• URN:NBN: urn:nbn:hr:168:639867
• Study programme: Title: Electrical Engineering and Information Technology; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike i informacijske tehnologije (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike i informacijske tehnologije)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2020-01-07 22:58:20