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Title:REŠEVANJE LINEARNIH REKURZIVNIH ENAČB
Authors:ID Cank, Sonja (Author)
ID Fošner, Ajda (Mentor) More about this mentor... New window
ID Brešar, Boštjan (Comentor)
Files:.pdf UNI_Cank_Sonja_2010.pdf (276,61 KB)
MD5: 542F6CDED6F13B357011E7D8C01B71FD
PID: 20.500.12556/dkum/97617ea9-f748-4b6a-abfe-dd5c486e230b
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V diplomski nalogi so predstavljene osnove kombinatorike, ki so potrebne za razumevanje rekurzije. Reševanje linearnih rekurzivnih enačb,lastnosti ter uporaba pa so jedro diplomskega dela.V uvodnem poglavju je razloºeno, kaj pomeni rekurzivno podajanje formule. Nato je na primeru razloºen postopek re²evanja linearnih rekurzivnih ena£b. Najprej si bomo pogledali homogene linearne rekurzivne enačbe s konstantnimi koeficienti, na to nehomogene enačbe in za konec še reševanje sistema linearnih rekurzivnih enačb. V vsakem poglavju so rešeni konkretni primeri.
Keywords:matematika, kombinatorika, linearne rekurzivne enačbe, karakteristični polinom, homogena enačba, splošna rešitev, partikularna rešitev.
Place of publishing:Maribor
Publisher:[S. Cank]
Year of publishing:2010
PID:20.500.12556/DKUM-14812 New window
UDC:51(043.2)
COBISS.SI-ID:17895944 New window
NUK URN:URN:SI:UM:DK:58DQBDXL
Publication date in DKUM:03.02.2021
Views:1570
Downloads:158
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:EQUIPMENT SETS
Abstract:In my diploma work I introduce the basics of combinatorics, which are necessary to understand recursion. Solving linear recursive equations,properties and applications are the core of the thesis. The basics of the combinatorics comprise four fundamental rules (the rule of the product, the rule of the sum, Dirichletovo principle counting rule pairs, ordered and unordered choice and binomial and multinomial coeficients. The introductory chapter explains what is meant by recursive formula feeding. Then I explained the procedure in case of recursive solution of linear equations. First we'll look at recursive linear homogeneous equations with constant coeficients, this inhomogeneous equation, and finally, the system of linear recursive equations. In each section are resolved in real examples.
Keywords:Mathematics, combinatorics, linear recurrence relations, characteristic equation, homogeneous relation, general solution, particular solution.


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