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

Dissertations / Theses on the topic 'Fibonacci, Leonardo, Fibonacci numbers'

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

Select a source type:

Consult the top 41 dissertations / theses for your research on the topic 'Fibonacci, Leonardo, Fibonacci numbers.'

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

Leonesio, Justin Michael. "Fascinating characteristics and applications of the Fibonacci sequence /." Lynchburg, VA : Liberty University, 2007. http://digitalcommons.liberty.edu.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Almeida, Edjane Gomes dos Santos. "Propriedades e generalizações dos números de Fibonacci." Universidade Federal da Paraíba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7658.

Full text
Abstract:
Submitted by Maria Suzana Diniz (msuzanad@hotmail.com) on 2015-11-30T12:34:27Z No. of bitstreams: 1 arquivototal.pdf: 766531 bytes, checksum: ad20186d0268a15265279ab809f9fd2f (MD5)<br>Approved for entry into archive by Maria Suzana Diniz (msuzanad@hotmail.com) on 2015-11-30T12:38:24Z (GMT) No. of bitstreams: 1 arquivototal.pdf: 766531 bytes, checksum: ad20186d0268a15265279ab809f9fd2f (MD5)<br>Made available in DSpace on 2015-11-30T12:38:24Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 766531 bytes, checksum: ad20186d0268a15265279ab809f9fd2f (MD5) Previous issue date: 2014-08-29<br>Coor
APA, Harvard, Vancouver, ISO, and other styles
3

Santos, Alberto Tadeu Acaiaba dos. "Das "trevas" à luz de Fibonacci: uma visão histórica." Pontifícia Universidade Católica de São Paulo, 2009. https://tede2.pucsp.br/handle/handle/13439.

Full text
Abstract:
Made available in DSpace on 2016-04-28T14:16:42Z (GMT). No. of bitstreams: 1 Alberto Tadeu Acaiaba dos Santos.pdf: 1898301 bytes, checksum: dff408eb33e28cabba94fce850811da9 (MD5) Previous issue date: 2009-10-15<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>The contribution of Leonardo de Pisa for the commercial mathematics of XIII century, from the publication of the Líber Abacci and the spreading of the hindu arabian numbers in the Europe in substitution to the Roman numbers, thus facilitating the commercial transactions between the peoples after the opening of the por
APA, Harvard, Vancouver, ISO, and other styles
4

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
5

Salter, Ena. "Fibonacci vectors." [Tampa, Fla.] : University of South Florida, 2005. http://purl.fcla.edu/fcla/etd/SFE0001244.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Edson, Marcia Ruth Zamboni Luca Quardo. "Around the Fibonacci numeration system." [Denton, Tex.] : University of North Texas, 2007. http://digital.library.unt.edu/permalink/meta-dc-3676.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Fransson, Jonas. "Generalized Fibonacci Series Considered modulo n." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-26844.

Full text
Abstract:
In this thesis we are investigating identities regarding Fibonacci sequences. In particular we are examiningthe so called Pisano period, which is the period for the Fibonacci sequence considered modulo n to repeatitself. The theory shows that it suces to compute Pisano periods for primes. We are also looking atthe same problems for the generalized Pisano period, which can be described as the Pisano period forthe generalized Fibonacci sequence.
APA, Harvard, Vancouver, ISO, and other styles
8

Heberle, Curtis. "A Combinatorial Approach to $r$-Fibonacci Numbers." Scholarship @ Claremont, 2012. https://scholarship.claremont.edu/hmc_theses/34.

Full text
Abstract:
In this paper we explore generalized “$r$-Fibonacci Numbers” using a combinatorial “tiling” interpretation. This approach allows us to provide simple, intuitive proofs to several identities involving $r$-Fibonacci Numbers presented by F.T. Howard and Curtis Cooper in the August, 2011, issue of the Fibonacci Quarterly. We also explore a connection between the generalized Fibonacci numbers and a generalized form of binomial coefficients.
APA, Harvard, Vancouver, ISO, and other styles
9

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
10

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
11

Luwes, N. J. "Fibonacci numbers and the golden rule applied in neural networks." Interim : Interdisciplinary Journal: Vol 9, Issue 1: Central University of Technology Free State Bloemfontein, 2010. http://hdl.handle.net/11462/343.

Full text
Abstract:
Published Article<br>In the 13th century an Italian mathematician Fibonacci, also known as Leonardo da Pisa, identified a sequence of numbers that seemed to be repeating and be residing in nature (http://en.wikipedia.org/wiki/Fibonacci) (Kalman, D. et al. 2003: 167). Later a golden ratio was encountered in nature, art and music. This ratio can be seen in the distances in simple geometric figures. It is linked to the Fibonacci numbers by dividing a bigger Fibonacci value by the one just smaller of it. This ratio seems to be settling down to a particular value of 1.618 (http://en.wikipedia.org/w
APA, Harvard, Vancouver, ISO, and other styles
12

Santos, Fabio Honorato dos. "Funções de Fibonacci: um estudo sobre a razão áurea e a sequência de Fibonacci." Universidade Federal de Alagoas, 2018. http://www.repositorio.ufal.br/handle/riufal/3507.

Full text
Abstract:
Due to the system does not recognize equations and formulas the resumo and abstract can be found in the PDF file.<br>Devido ao sistema não reconhecer equações e fórmulas o resumo e abstract encontra-se no arquivo em PDF.
APA, Harvard, Vancouver, ISO, and other styles
13

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
14

Silva, Kênia Cristina Pereira 1984. "Sobre questões de combinatória envolvendo os números de Fibonacci, Pell e Jacobsthal." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307508.

Full text
Abstract:
Orientador: José Plínio de Oliveira Santos<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-26T01:08:23Z (GMT). No. of bitstreams: 1 Silva_KeniaCristinaPereira_D.pdf: 1388554 bytes, checksum: 5bb3b8622c46807f58b3ebf6cb458fca (MD5) Previous issue date: 2014<br>Resumo: Neste trabalho apresentamos novas interpretações combinatórias para sequências que incluem os números de Fibonacci, os números de Pell e os números de Jacobsthal, em termos de partição. Na primeira parte listamos as identi
APA, Harvard, Vancouver, ISO, and other styles
15

Spreafico, Elen Viviani Pereira 1986. "Novas identidades envolvendo os números de Fibonacci, Lucas e Jacobsthal via ladrilhamentos." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307509.

Full text
Abstract:
Orientador: José Plínio de Oliveira Santos<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-26T02:14:38Z (GMT). No. of bitstreams: 1 Spreafico_ElenVivianiPereira_D.pdf: 1192138 bytes, checksum: 2b12cd351b94a0f2f7ec24fc172305c9 (MD5) Previous issue date: 2014<br>Resumo: Neste trabalho, colaboramos com provas combinatórias que utilizam a contagem e a q-contagem de elementos em conjuntos de ladrilhamentos com restrições. Na primeira parte do trabalho utilizamos os ladrilhamentos para demo
APA, Harvard, Vancouver, ISO, and other styles
16

Stein, Martin [Verfasser]. "Algebraic independence results for reciprocal sums of Fibonacci and Lucas numbers / Martin Stein." Hannover : Technische Informationsbibliothek und Universitätsbibliothek Hannover (TIB), 2012. http://d-nb.info/1021189294/34.

Full text
APA, Harvard, Vancouver, ISO, and other styles
17

Dias, Alberto Faustino 1972. "A sequência de Fibonacci e o número de ouro : modelos variacionais." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306455.

Full text
Abstract:
Orientador: Rodney Carlos Bassanezi<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-27T16:18:31Z (GMT). No. of bitstreams: 1 Dias_AlbertoFaustino_M.pdf: 1122688 bytes, checksum: a62e35c5bae8f636d723761c61dcfcd7 (MD5) Previous issue date: 2015<br>Resumo: Apresentamos neste trabalho, uma relação existente entre a despretensiosa Sequência de Fibonacci e o Número de Ouro, conhecido também como Razão Áurea ou Número Áureo. Neste mesmo contexto, tratamos de um modelo varia
APA, Harvard, Vancouver, ISO, and other styles
18

Amaca, Edgar Gilbuena. "On rational functions with Golden Ratio as fixed point /." Online version of thesis, 2008. http://hdl.handle.net/1850/6212.

Full text
APA, Harvard, Vancouver, ISO, and other styles
19

Šiurys, Jonas. "Linear recurrence sequences of composite numbers." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2013. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2013~D_20131015_155936-95267.

Full text
Abstract:
The main objects studied in this thesis are linear recurrence sequences of composite numbers. We have studied the second order (binary) linear recurrence, tribonacci – like and higher order sequences. Many examples have been given.<br>Disertacijoje nagrinėjamos tiesinės rekurenčiosios sekos. Ieškoma tokių pradinių narių, kurie generuotų rekurenčiąsias sekas sudarytas iš sudėtinių skaičių. Pilnai išnagrinėtos antros eilės tiesinės rekurenčiosos ir tribonačio tipo sekos, patiekiami pavyzdžiai. Gauti rezultatai ir k-bonačio tipo sekoms.
APA, Harvard, Vancouver, ISO, and other styles
20

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
21

Šiurys, Jonas. "Tiesinės rekurenčiosios sekos sudarytos iš sudėtinių skaičių." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2013. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2013~D_20131015_155954-89079.

Full text
Abstract:
Disertacijoje nagrinėjamos tiesinės rekurenčiosios sekos. Ieškoma tokių pradinių narių, kurie generuotų rekurenčiąsias sekas sudarytas iš sudėtinių skaičių. Pilnai išnagrinėtos antros eilės tiesinės rekurenčiosos ir tribonačio tipo sekos, patiekiami pavyzdžiai. Gauti rezultatai ir k-bonačio tipo sekoms.<br>The main objects studied in this thesis are linear recurrence sequences of composite numbers. We have studied the second order (binary) linear recurrence, tribonacci – like and higher order sequences. Many examples have been given.
APA, Harvard, Vancouver, ISO, and other styles
22

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
23

Castelo, Branco Audino 1961. "A má temática da dislexia : aspectos da utilização da arte e da tecnologia na aprendizagem da matemática por alunos portadores de dislexia." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306036.

Full text
Abstract:
Orientador: Maria Aparecida Diniz Ehrhardt<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-26T19:41:27Z (GMT). No. of bitstreams: 1 CasteloBranco_Audino_M.pdf: 12945958 bytes, checksum: 5e68ba53d0cb9f79c140abfa9532c05b (MD5) Previous issue date: 2015<br>Resumo: Essa pesquisa tem como objetivo explorar a aprendizagem de certos tópicos da Matemática por parte de alunos disléxicos e a contribuição que a Arte e a tecnologia podem dar, servindo como instrumentos facilitad
APA, Harvard, Vancouver, ISO, and other styles
24

Ferreira, Ronaebson de Carvalho. "Números Mórficos." Universidade Federal da Paraíba, 2015. http://tede.biblioteca.ufpb.br:8080/handle/tede/8040.

Full text
Abstract:
Submitted by Maike Costa (maiksebas@gmail.com) on 2016-03-28T11:10:07Z No. of bitstreams: 1 arquivototal.pdf: 800250 bytes, checksum: 42e76ab05ea580b4fd24a3312b9b4212 (MD5)<br>Made available in DSpace on 2016-03-28T11:10:07Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 800250 bytes, checksum: 42e76ab05ea580b4fd24a3312b9b4212 (MD5) Previous issue date: 2015-04-30<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>Morphic numbers are numbers related to the form and, somehow, they establish a conception of beauty, aesthetics and harmony. These numbers have important
APA, Harvard, Vancouver, ISO, and other styles
25

Jacques, Rodrigo da Costa. "O número de ouro no Ensino Fundamental." reponame:Repositório Institucional da UFABC, 2016.

Find full text
Abstract:
Orientador: Prof. Dr. Jeferson Cassiano<br>Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Mestrado Profissional em Matemática em Rede Nacional, 2016.<br>Neste trabalho de dissertação, apresentamos uma linha de pesquisa envolvendo a incomensurabilidade com um estudo de caso do número de ouro; sua definição, suas aplicações, sua relação com o pentagrama e com a sequência de Fibonacci e também suas curiosidades que o relacionamos com a arte e a natureza. O objetivo é mostrar como este tema pode vir a ser abordado entre os alunos do Ensino Fundamental e Medio de
APA, Harvard, Vancouver, ISO, and other styles
26

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
27

Sodré, Leandro de Oliveira. "O número 142857 e o número de ouro: curiosidades, propriedades matemáticas e propostas de atividades didáticas." Universidade Federal de Juiz de Fora (UFJF), 2013. https://repositorio.ufjf.br/jspui/handle/ufjf/2364.

Full text
Abstract:
Submitted by isabela.moljf@hotmail.com (isabela.moljf@hotmail.com) on 2016-08-18T13:58:42Z No. of bitstreams: 1 leandrodeoliveirasodre.pdf: 681870 bytes, checksum: 2aa85f9c6534a3e3fbb9b9999b6dc538 (MD5)<br>Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2016-08-19T11:52:31Z (GMT) No. of bitstreams: 1 leandrodeoliveirasodre.pdf: 681870 bytes, checksum: 2aa85f9c6534a3e3fbb9b9999b6dc538 (MD5)<br>Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2016-08-19T11:52:50Z (GMT) No. of bitstreams: 1 leandrodeoliveirasodre.pdf:
APA, Harvard, Vancouver, ISO, and other styles
28

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
29

Miotto, Eder. "A análise combinatória e seu ensino." Universidade Tecnológica Federal do Paraná, 2014. http://repositorio.utfpr.edu.br/jspui/handle/1/1013.

Full text
Abstract:
CAPES<br>O presente trabalho tem dois objetivos: o primeiro está relacionado ao ensino da análise combinatória nas séries do ensino fundamental 2 e ensino médio. O segundo objetivo e buscar aprofundar meus conhecimentos relacionados aos conceitos combinatoriais. Com relação ao primeiro objetivo, o ensino da análise combinatória, na minha trajetória como docente, tem sido uma das tarefas mais árduas que o professor de matemática da educação básica enfrenta. Diante disso, surgem algumas perguntas. Por que um assunto totalmente aplicável ao cotidiano tem gerado tanta dificuldade de compreensão? U
APA, Harvard, Vancouver, ISO, and other styles
30

Reiland, Elizabeth. "Combinatorial Interpretations of Fibonomial Identities." Scholarship @ Claremont, 2011. http://scholarship.claremont.edu/hmc_theses/10.

Full text
Abstract:
The Fibonomial numbers are defined by \[ \begin{bmatrix}n \\ k \end{bmatrix} = \frac{\prod_{i=n-k+1} ^{n} F_i}{\prod_{j=1}^{k} F_j} \] where $F_i$ is the $i$th Fibonacci number, defined by the recurrence $F_n=F_{n-1}+F_{n-2}$ with initial conditions $F_0=0,F_1=1$. In the past year, Sagan and Savage have derived a combinatorial interpretation for these Fibonomial numbers, an interpretation that relies upon tilings of a partition and its complement in a given grid.In this thesis, I investigate previously proven theorems for the Fibonomial numbers and attempt to reinterpret and reprove them in
APA, Harvard, Vancouver, ISO, and other styles
31

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
32

Smith, Andrew Martin. "Remnants." Bowling Green, Ohio : Bowling Green State University, 2009. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=bgsu1237661688.

Full text
Abstract:
Thesis (M.M.)--Bowling Green State University, 2009.<br>Document formatted into pages; contains 1 score (vi, 29 p.) For clarinet, bassoon, and chamber orchestra (two trumpets, two horns, tenor trombone, bass trombone, percussion, piano, harp, and strings (six first violins, six second violins, four violas, four cellos, and two basses) Includes bibliographical references.
APA, Harvard, Vancouver, ISO, and other styles
33

SERN, CHEW JOHN, and 周昌勝. "On Anti-Fibonacci Numbers." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/pns2rw.

Full text
APA, Harvard, Vancouver, ISO, and other styles
34

Li, Zong-Han, and 李宗翰. "Introduction to Fibonacci Numbers and the Golden Ratio." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/mx4h5v.

Full text
Abstract:
碩士<br>逢甲大學<br>應用數學系<br>107<br>We all know that the Fibonacci numbers are a famous sequence. But do you really know how it came from? Can you identify some of its interesting properties? Do you know its relationship with the so-called Golden ratio? This paper introduces the origin of the Fibonacci numbers, and derives the general formula of the Fibonacci numbers through several methods. Then we use the general formula to verify some of the important properties, including and the relationship between the Fibonacci numbers and the gold ratio. To demonstrate the power of the applications of Fibon
APA, Harvard, Vancouver, ISO, and other styles
35

Scheibelhut, Kira. "Polynomials that are Integer-Valued on the Fibonacci Numbers." 2013. http://hdl.handle.net/10222/35316.

Full text
Abstract:
An integer-valued polynomial is a polynomial with rational coefficients that takes an integer value when evaluated at an integer. The binomial polynomials form a regular basis for the Z-module of all integer-valued polynomials. Using the idea of a p-ordering and a p-sequence, Bhargava describes a similar characterization for polynomials that are integer-valued on some subset of the integers. This thesis focuses on characterizing the polynomials that are integer-valued on the Fibonacci numbers. For a certain class of primes p, we give a formula for the p-sequence of the Fibonacci numbers and an
APA, Harvard, Vancouver, ISO, and other styles
36

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
37

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
38

Oubre, Larry Allen. "The "new Hungarian art music" of Béla Bartók and its relation to certain Fibonacci series and golden section structures." Thesis, 2006. http://hdl.handle.net/2152/2598.

Full text
APA, Harvard, Vancouver, ISO, and other styles
39

Oubre, Larry Allen 1955. "The "new Hungarian art music" of Béla Bartók and its relation to certain Fibonacci series and golden section structures." 2006. http://hdl.handle.net/2152/12977.

Full text
APA, Harvard, Vancouver, ISO, and other styles
40

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
41

Obdržálková, Zita. "Vnímání krásy - biologické vs. kulturní determinanty." Master's thesis, 2013. http://www.nusl.cz/ntk/nusl-321059.

Full text
Abstract:
This thesis deals with problems of biological and cultural determinants influencing perception of beauty. It attempts to find out if there is a common biological basis of perception of beauty or if beauty represents merely a sociocultural construct - product of a specific culture. With respect to biological determinants it concerns biological processes significantly influencing perception of beauty. In this context, these processes include probably innate evolutionary adaptations, effects of brain cognitive systems and neural correlates processing perceptions of beautiful objects. In connectio
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!