Log in

Relevant bibliographies by topics / Fibonacci theory / Dissertations / Theses

To see the other types of publications on this topic, follow the link: Fibonacci theory.

Dissertations / Theses on the topic 'Fibonacci theory'

Author: Grafiati

Published: 28 May 2022

Last updated: 30 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 25 dissertations / theses for your research on the topic 'Fibonacci theory.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse dissertations / theses on a wide variety of disciplines and organise your bibliography correctly.

1

Flournoy, Cecil Buford Jr. "N-parameter Fibonacci AF C*-Algebras." Diss., University of Iowa, 2011. https://ir.uiowa.edu/etd/1221.

Full text

Abstract:

An n-parameter Fibonacci AF-algebra is determined by a constant incidence matrix K of a special form. The form of the matrix K is defined by a given n-parameter Fibonacci sequence. We compute the K-theory of certain Fibonacci AF-algebra, and relate their K-theory to the K-theory of an AF-algebra defined by incidence matrices that are the transpose of K.

APA, Harvard, Vancouver, ISO, and other styles

2

Meinke, Ashley Marie. "Fibonacci Numbers and Associated Matrices." Kent State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=kent1310588704.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

MELO, MARIA ISABEL AFONSO. "GOLDEN RATIO AND FIBONACCI NUMBERS: FROM THEORY TO PRACTICE THROUGH PHOTOGRAPHY." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2017. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33080@1.

Full text

Abstract:

PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>PROGRAMA DE MESTRADO PROFISSIONAL EM MATEMÁTICA EM REDE NACIONAL<br>Este trabalho teve o intuito de conciliar o ensino de matemática com práticas muito presentes no cotidiano dos alunos nos dias atuais: o uso da tecnologia e a comunicação através da fotografia. Com esse objetivo, foram selecionados conteúdos matemáticos que historicamente estão relacionados com a beleza e harmonia: a razão áurea e a sequência de Fibonacci. Tais enfoques permitem associações diretas em outros ca

APA, Harvard, Vancouver, ISO, and other styles

4

Silva, Bruno Astrolino e. "Números de Fibonacci e números de Lucas." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/55/55136/tde-03032017-143706/.

Full text

Abstract:

Neste trabalho, exploramos os números de Fibonacci e de Lucas. A maioria dos resultados históricos sobre esses números são apresentados e provados. Ao longo do texto, um grande número de identidades a respeito dos números de Fibonacci e de Lucas são mostradas válidas para todos os inteiros. Sequências generalizadas de Fibonacci, a relação entre os números de Fibonacci e de Lucas com as raízes da equação x2 -x -1 = 0 e a conexão entre os números de Fibonacci e de Lucas com uma classe de matrizes em M2(R) são também exploradas.<br>In this work we explore the Fibonacci and Lucas numbers. The majo

APA, Harvard, Vancouver, ISO, and other styles

5

Siani, Serena. "A problem in the Theory of Groups and a question related to Fibonacci-Like sequences." Doctoral thesis, Universita degli studi di Salerno, 2016. http://hdl.handle.net/10556/2180.

Full text

Abstract:

2013 - 2014<br>This thesis is composed of four chapters, two of which, Chapter 3 and Chapter 4, contain original results. In Chapter 1 we recall some basic notions and establish some of the notation and terminology which will be used in the sequel. For example, we recall some useful results about the class X of groups which are isomorphic to their non-abelian subgroups. Every group of this class is in_nite and 2-generated. This class of groups has been studied by H. Smith and J. Wiegold( [34]). They proved that every insoluble X-group is centre- by-simple and they gave a complete characteriza

APA, Harvard, Vancouver, ISO, and other styles

6

Зинченко, Д. В. "Отпечаток Бога в математике и природе". Thesis, Сумский государственный университет, 2014. http://essuir.sumdu.edu.ua/handle/123456789/38774.

Full text

Abstract:

Если верить Библии, то существует некий творец, который создал вселенную и положил начало жизни человека, природы… У каждого из нас есть отпечатки пальцев, именно они делают нас индивидуальными с самого рождения. Касаясь к чему либо, мы оставляем свой неповторимый след. И не исключено, что при творении мира сего Бог тоже оставил отпечаток своих пальцев.

APA, Harvard, Vancouver, ISO, and other styles

7

Bethlehem, Tobias. "Theory of 3-4 Heap." Thesis, University of Canterbury. Computer Science and Software Engineering, 2008. http://hdl.handle.net/10092/1930.

Full text

Abstract:

As an alternative to the Fibonacci heap, and a variation of the 2-3 heap data structure by Tadao Takaoka, this research presents the 3-4 heap data structure. The aim is to prove that the 3-4 heap, like its counter-part 2-3 heap, also supports n insert, n delete-min, and m decrease-key operations, in O(m + nlog n) time. Many performance tests were carried out during this research comparing the 3-4 heap against the 2-3 heap and for a narrow set of circumstances the 3-4 heap outperformed the 2-3 heap. The 2-3 heap has got a structure based on dimensions which are rigid using ternary linking an

APA, Harvard, Vancouver, ISO, and other styles

8

Silva, Júnior Normando. "Aplicações para o princípio de indução matemática." Universidade Federal de Goiás, 2014. http://repositorio.bc.ufg.br/tede/handle/tede/7508.

Full text

Abstract:

Submitted by JÚLIO HEBER SILVA (julioheber@yahoo.com.br) on 2017-06-23T18:24:17Z No. of bitstreams: 2 Dissertação - Normando Silva Junior - 2014.pdf: 1908561 bytes, checksum: 892d0c609dce5de60fb3458349a15243 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Approved for entry into archive by Cláudia Bueno (claudiamoura18@gmail.com) on 2017-07-07T20:23:37Z (GMT) No. of bitstreams: 2 Dissertação - Normando Silva Junior - 2014.pdf: 1908561 bytes, checksum: 892d0c609dce5de60fb3458349a15243 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br

APA, Harvard, Vancouver, ISO, and other styles

9

Belmont, Daniele Ferreira de Sousa. "Teoria das ondas de elliott: uma aplicação ao mercado de ações da bm&fbovespa." Universidade Federal da Paraíba, 2010. http://tede.biblioteca.ufpb.br:8080/handle/tede/5048.

Full text

Abstract:

Made available in DSpace on 2015-05-08T14:45:04Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1848162 bytes, checksum: 8d8c6d6ea96038f73be05f042425a488 (MD5) Previous issue date: 2010-09-17<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>The prices of securities traded on stock exchanges, as well as any other commodity in the financial market fluctuate naturally with the demand for these products. These oscillations, along with the asymmetry of information about the prices of these products generate volatility processes. Charles Dow in the early twentieth century created s

APA, Harvard, Vancouver, ISO, and other styles

10

Hanley, Jodi Ann. "Egyptian fractions." CSUSB ScholarWorks, 2002. https://scholarworks.lib.csusb.edu/etd-project/2323.

Full text

Abstract:

Egyptian fractions are what we know as unit fractions that are of the form 1/n - with the exception, by the Egyptians, of 2/3. Egyptian fractions have actually played an important part in mathematics history with its primary roots in number theory. This paper will trace the history of Egyptian fractions by starting at the time of the Egyptians, working our way to Fibonacci, a geologist named Farey, continued fractions, Diophantine equations, and unsolved problems in number theory.

APA, Harvard, Vancouver, ISO, and other styles

11

Wan, Jessica J. "Violet Archer’s “The Twenty-Third Psalm” (1952): An Analytical Study of Text and Music Relations through Fibonacci Numbers, Melodic Contour, Motives, and Piano Accompaniment." Thèse, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/23346.

Full text

Abstract:

This study explores text and music relations in Canadian composer Violet Archer’s “The Twenty-Third Psalm” by analysing the text of Psalm 23, Fibonacci numbers, melodic contours, motives, and the role of the accompaniment. The text focuses on David’s faith in God and his acceptance of God as his shepherd on earth. The four other approaches allow us to examine the work on three different structural levels: background through Fibonacci numbers, middleground through melodic contour analysis, and foreground through motivic analysis and the role of the accompaniment. The measure numbers that align

APA, Harvard, Vancouver, ISO, and other styles

12

Палажченко, В. В., та Л. Л. Щецова. "Числа Фібоначчі". Thesis, Сумський державний університет, 2017. http://essuir.sumdu.edu.ua/handle/123456789/66976.

Full text

Abstract:

В елементарній математиці існує багато завдань, часто важких і цікавих, які не пов'язані з якимось ім'ям, а скоріше носять характер свого роду "математичного фольклору" .У кожному такому завданні ми маємо справу з маленькими математичними теоріями. Такою теорією є і теорія чисел Фібоначчі, що виросли зі знаменитої "задачі про кроликів", з якою ми зіштовхуємося в цій роботі. Числа Фібоначчі до сих пір залишаються однією з найбільш захоплюючих глав елементарної математики. Завдання, пов'язані з числами Фібоначчі наводяться в багатьох популярних виданнях з математики, розглядаються на заня

APA, Harvard, Vancouver, ISO, and other styles

13

Svanström, Fredrik. "Properties of a generalized Arnold’s discrete cat map." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-35209.

Full text

Abstract:

After reviewing some properties of the two dimensional hyperbolic toral automorphism called Arnold's discrete cat map, including its generalizations with matrices having positive unit determinant, this thesis contains a definition of a novel cat map where the elements of the matrix are found in the sequence of Pell numbers. This mapping is therefore denoted as Pell's cat map. The main result of this thesis is a theorem determining the upper bound for the minimal period of Pell's cat map. From numerical results four conjectures regarding properties of Pell's cat map are also stated. A brief exp

APA, Harvard, Vancouver, ISO, and other styles

14

Edson, Marcia Ruth. "Around the Fibonacci Numeration System." Thesis, University of North Texas, 2007. https://digital.library.unt.edu/ark:/67531/metadc3676/.

Full text

Abstract:

Let 1, 2, 3, 5, 8, … denote the Fibonacci sequence beginning with 1 and 2, and then setting each subsequent number to the sum of the two previous ones. Every positive integer n can be expressed as a sum of distinct Fibonacci numbers in one or more ways. Setting R(n) to be the number of ways n can be written as a sum of distinct Fibonacci numbers, we exhibit certain regularity properties of R(n), one of which is connected to the Euler φ-function. In addition, using a theorem of Fine and Wilf, we give a formula for R(n) in terms of binomial coefficients modulo two.

APA, Harvard, Vancouver, ISO, and other styles

15

Sentone, Francielle Gonçalves. "Paradoxos geométricos em sala de aula." Universidade Tecnológica Federal do Paraná, 2017. http://repositorio.utfpr.edu.br/jspui/handle/1/2701.

Full text

Abstract:

CAPES<br>Apresentamos neste trabalho alguns paradoxos lógico-matemáticos, como o paradoxo de Galileu, e também alguns paradoxos geométricos, como os paradoxos de Curry, de Hooper e de Banach-Tarski. Empregamos os paradoxos de Curry e de Hooper para motivar o estudo de conceitos de Geometria e de Teoria dos Números, tais como área, semelhança de triângulos, o Teorema de Pitágoras, razões trigonométricas no triângulo retângulo, o coeficiente angular da reta e a sequência de Fibonacci, e organizamos atividades lúdicas para a sala de aula no Ensino Fundamental e no Ensino Médio.<br>We present in t

APA, Harvard, Vancouver, ISO, and other styles

16

Thiem, Stefanie. "Electronic and Photonic Properties of Metallic-Mean Quasiperiodic Systems." Doctoral thesis, Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-83831.

Full text

Abstract:

Understanding the connection of the atomic structure and the physical properties of materials remains one of the elementary questions of condensed-matter physics. One research line in this quest started with the discovery of quasicrystals by Shechtman et al. in 1982. It soon became clear that these materials with their 5-, 8-, 10- or 12-fold rotational symmetries, which are forbidden according to classical crystallography, can be described in terms of mathematical models for nonperiodic tilings of a plane proposed by Penrose and Ammann in the 1970s. Due to the missing translational symmetry of

APA, Harvard, Vancouver, ISO, and other styles

17

JOU, SHIANG-JIUN, and 周湘鈞. "Research on phenomenon of chaos theory in fibonacci sequence of numbers." Thesis, 1997. http://ndltd.ncl.edu.tw/handle/95282401804638154094.

Full text

Abstract:

碩士<br>國立臺灣大學<br>商學研究所<br>85<br>GRADUATE INSTITUTE OF BUSENESS ADMINISTRATION NATIONAL TAIWAN UNIVERSITY NAME: JOU,SHIANG-JIUN MONTH/YEAR: JUNE, 1997 ADVISER:YANG,CHAU-CHEN Research on Phenomenon of Chaos Theory in Fibonacci Sequence of Numbers -its application in the stock market By using "nature principle" of the mathematical basis of "Fibonacci Sequence of Numbers," Elliott explained the fluctuating t

APA, Harvard, Vancouver, ISO, and other styles

18

Tseng, Jung-Hao, and 曾嶸浩. "The application of Fibonacci Coefficient to improve the theory of Constrant in inventory management." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/z27rgd.

Full text

Abstract:

碩士<br>中原大學<br>工業與系統工程研究所<br>106<br>To assess the efficiency of an enterprise or a factory, without a doubt inventory management is one of the important indicators. To ensure a sufficient quantity to supply the downstream demand changes, the management of stockpiles is important in the supply chain. Compared to the traditional replenishment strategy, Demand-Pull and Buffer Management advocated by Theory of Constraints (TOC), is an effective set of supply chain inventory management method (proved by many references). This method includes an Exponentially Weighted Moving Average (EWMA), Reorder P

APA, Harvard, Vancouver, ISO, and other styles

19

Chen, Yan-Yu, and 陳彥予. "A Study of Wave Theory Based on Fibonacci Sequence:An Example of Taiwan 50 Securities." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/38twf4.

Full text

Abstract:

碩士<br>國立雲林科技大學<br>資訊管理系<br>107<br>he object of this experiment were to investigate the daily and weekly data of stocks, and the data was divided into calculation intervals and back-test intervals based on the cycles in the wave theory. Each pridiction Fibonacci value was analyzed by Fibonacci analysis with data of calculation intervals, after finding the support level and resistance level in the back-test interval, using these values to figure out the wave A, B, and C in the wave theory. This study finds that (1) the probability of occurrence of the support level and resistance level on the da

APA, Harvard, Vancouver, ISO, and other styles

20

Sofo, Anthony. "Summing series using residues." Thesis, 1998. https://vuir.vu.edu.au/15695/.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Bharadwaj, Subramanya B. V. "The Isoperimetric Problem On Trees And Bounded Tree Width Graphs." Thesis, 2008. https://etd.iisc.ac.in/handle/2005/844.

Full text

Abstract:

In this thesis we study the isoperimetric problem on trees and graphs with bounded treewidth. Let G = (V,E) be a finite, simple and undirected graph. For let δ(S,G)= {(u,v) ε E : u ε S and v ε V – S }be the edge boundary of S. Given an integer i, 1 ≤ i ≤ | V| , let the edge isoperimetric value of G at I be defined as be(i,G)= mins v;|s|= i | δ(S,G)|. For S V, let φ(S,G) = {u ε V – S : ,such that be the vertex boundary of S. Given an integer i, 1 ≤ i ≤ | V| , let the vertex isoperimetric value of G at I be defined as bv(i,G)= The edge isoperimetric peak of G is defined as be(G

APA, Harvard, Vancouver, ISO, and other styles

22

Bharadwaj, Subramanya B. V. "The Isoperimetric Problem On Trees And Bounded Tree Width Graphs." Thesis, 2008. http://hdl.handle.net/2005/844.

Full text

Abstract:

In this thesis we study the isoperimetric problem on trees and graphs with bounded treewidth. Let G = (V,E) be a finite, simple and undirected graph. For let δ(S,G)= {(u,v) ε E : u ε S and v ε V – S }be the edge boundary of S. Given an integer i, 1 ≤ i ≤ | V| , let the edge isoperimetric value of G at I be defined as be(i,G)= mins v;|s|= i | δ(S,G)|. For S V, let φ(S,G) = {u ε V – S : ,such that be the vertex boundary of S. Given an integer i, 1 ≤ i ≤ | V| , let the vertex isoperimetric value of G at I be defined as bv(i,G)= The edge isoperimetric peak of G is defined as be(G)

APA, Harvard, Vancouver, ISO, and other styles

23

Rockwell, Daniel Luke. "A reinterpretation, and new demonstrations of, the Borel Normal Number Theorem." Thesis, 2011. http://hdl.handle.net/1957/23486.

Full text

Abstract:

The notion of a normal number and the Normal Number Theorem date back over 100 years. Émile Borel first stated his Normal Number Theorem in 1909. Despite their seemingly basic nature, normal numbers are still engaging many mathematicians to this day. In this paper, we provide a reinterpretation of the concept of a normal number. This leads to a new proof of Borel's classic Normal Number Theorem, and also a construction of a set that contains all absolutely normal numbers. We are also able to use the reinterpretation to apply the same definition for a normal number to any point in a symbolic d

APA, Harvard, Vancouver, ISO, and other styles

24

Michalik, Jindřich. "Kombinatorické posloupnosti čísel a dělitelnost." Master's thesis, 2018. http://www.nusl.cz/ntk/nusl-373204.

Full text

Abstract:

This work contains an overview of the results concerning number-theoretic pro- perties of some significant combinatorial sequences such as factorials, binomial coef- ficients, Fibonacci and Catalan numbers. These properties include parity, primality, prime power divisibility, coprimality etc. A substantial part of the text should be accessible to gifted high school students, the results are illustrated with examples. 1

APA, Harvard, Vancouver, ISO, and other styles

25

Thiem, Stefanie. "Electronic and Photonic Properties of Metallic-Mean Quasiperiodic Systems." Doctoral thesis, 2011. https://monarch.qucosa.de/id/qucosa%3A19673.

Full text

Abstract:

Understanding the connection of the atomic structure and the physical properties of materials remains one of the elementary questions of condensed-matter physics. One research line in this quest started with the discovery of quasicrystals by Shechtman et al. in 1982. It soon became clear that these materials with their 5-, 8-, 10- or 12-fold rotational symmetries, which are forbidden according to classical crystallography, can be described in terms of mathematical models for nonperiodic tilings of a plane proposed by Penrose and Ammann in the 1970s. Due to the missing translational symmetry o

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!