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Title:LINEARNE DIFERENČNE ENAČBE V BIOLOGIJI
Authors:ID Orlač, Saša (Author)
ID Petek, Tatjana (Mentor) More about this mentor... New window
Files:.pdf UNI_Orlac_Sasa_2012.pdf (239,59 KB)
MD5: 41004D090553885F6E6EC1CF1DF0DD49
PID: 20.500.12556/dkum/28377bc7-f294-4fc1-99d3-154d52571d0c
 
Language:Slovenian
Work type:Undergraduate thesis
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V diplomskem delu definiramo linearne diferenčne enačbe, homogene in nehomogene linearne diferenčne enačbe prvega reda, homogene in nehomogene linearne diferenčne enačbe drugega reda s konstantnimi koeficienti, ter racionalne diferenčne enačbe drugega reda. Opišemo tudi reševanje posameznih linearnih diferenčnih enačb. V nadaljevanju uporabo linearnih diferenčnih enačb prikažemo na primerih iz biologije. Rezultate izpeljemo s pomočjo formul za reševanje linearnih diferenčnih enačb, ki smo jih zapisali v uvodnih poglavjih.
Keywords:Fibonaccijeva števila, linearne diferenčne enačbe prvega reda, linearne diferenčne enačbe drugega reda s konstantnimi koeficienti, racionalne diferenčne enačbe drugega reda, zlati rez.
Place of publishing:Maribor
Publisher:[S. Orlač]
Year of publishing:2012
PID:20.500.12556/DKUM-22811 New window
UDC:57/59(043.2)
COBISS.SI-ID:19217416 New window
NUK URN:URN:SI:UM:DK:VI1CJDUT
Publication date in DKUM:09.07.2012
Views:3405
Downloads:254
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:LINEAR DIFFERENCE EQUATIONS IN BIOLOGY
Abstract:In the first part of the thesis we define linear difference equations, first order homogeneous and nonhomogeneous linear difference equations, second order homogeneous and nonhomogeneous linear difference equations with constant coefficients and second order rational difference equations. We continue with the application of linear difference equations in biology. The results are derived from formulas for solving linear difference equations obtained in the introductory chapters.
Keywords:Fibonacci numbers, first order linear difference equations, second order, linear difference equations with constant coefficients, second order rational difference equations, golden ratio.


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