Log in

Relevant bibliographies by topics / Fibonacci numbers

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers
Reports

Academic literature on the topic 'Fibonacci numbers'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 June 2025

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

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic '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.

Journal articles on the topic "Fibonacci numbers"

1

KÖKEN, Fikri, and Emre KANKAL. "Altered Numbers of Fibonacci Number Squared." Journal of New Theory, no. 45 (December 31, 2023): 73–82. http://dx.doi.org/10.53570/jnt.1368751.

Full text

Abstract:

We investigate two types of altered Fibonacci numbers obtained by adding or subtracting a specific value $\{a\}$ from the square of the $n^{th}$ Fibonacci numbers $G^{(2)}_{F(n)}(a)$ and $H^{(2)}_{F(n)}(a)$. These numbers are significant as they are related to the consecutive products of the Fibonacci numbers. As a result, we establish consecutive sum-subtraction relations of altered Fibonacci numbers and their Binet-like formulas. Moreover, we explore greatest common divisor (GCD) sequences of r-successive terms of altered Fibonacci numbers represented by $\left\{G^{(2)}_{F(n), r}(a)\right\}$ and $\left\{H^{(2)}_{F(n), r}(a)\right\}$ such that $r\in\{1,2,3\}$ and $a\in\{1,4\}$. The sequences are based on the GCD properties of consecutive terms of the Fibonacci numbers and structured as periodic or Fibonacci sequences.

APA, Harvard, Vancouver, ISO, and other styles

2

Howard, Fredric T. "Fibonacci numbers." Mathematical Intelligencer 26, no. 1 (2004): 65. http://dx.doi.org/10.1007/bf02985406.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Shannon, Anthony G., Özgür Erdağ, and Ömür Deveci. "On the connections between Pell numbers and Fibonacci p-numbers." Notes on Number Theory and Discrete Mathematics 27, no. 1 (2021): 148–60. http://dx.doi.org/10.7546/nntdm.2021.27.1.148-160.

Full text

Abstract:

In this paper, we define the Fibonacci–Pell p-sequence and then we discuss the connection of the Fibonacci–Pell p-sequence with the Pell and Fibonacci p-sequences. Also, we provide a new Binet formula and a new combinatorial representation of the Fibonacci–Pell p-numbers by the aid of the n-th power of the generating matrix of the Fibonacci–Pell p-sequence. Furthermore, we derive relationships between the Fibonacci–Pell p-numbers and their permanent, determinant and sums of certain matrices.

APA, Harvard, Vancouver, ISO, and other styles

4

Wituła, Roman, та Damian Słota. "δ-Fibonacci numbers". Applicable Analysis and Discrete Mathematics 3, № 2 (2009): 310–29. http://dx.doi.org/10.2298/aadm0902310w.

Full text

Abstract:

The scope of the paper is the definition and discussion of the polynomial generalizations of the Fibonacci numbers called here ?-Fibonacci numbers. Many special identities and interesting relations for these new numbers are presented. Also, different connections between ?-Fibonacci numbers and Fibonacci and Lucas numbers are proven in this paper.

APA, Harvard, Vancouver, ISO, and other styles

5

Han, Jeong, Hee Kim, and Joseph Neggers. "On Fibonacci functions with Fibonacci numbers." Advances in Difference Equations 2012, no. 1 (2012): 126. http://dx.doi.org/10.1186/1687-1847-2012-126.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Laugier, Alexandre, and Manjil P. Saikia. "Some Properties of Fibonacci Numbers, Generalized Fibonacci Numbers and Generalized Fibonacci Polynomial Sequences." Kyungpook mathematical journal 57, no. 1 (2017): 1–84. http://dx.doi.org/10.5666/kmj.2017.57.1.1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Tasyurdu, Yasemin. "Generalized Fibonacci numbers with five parameters." Thermal Science 26, Spec. issue 2 (2022): 495–505. http://dx.doi.org/10.2298/tsci22s2495t.

Full text

Abstract:

In this paper, we define five parameters generalization of Fibonacci numbers that generalizes Fibonacci, Pell, Modified Pell, Jacobsthal, Narayana, Padovan, k-Fibonacci, k-Pell, Modified k-Pell, k-Jacobsthal numbers and Fibonacci p-numbers, distance Fibonacci numbers, (2, k)-distance Fibonacci numbers, generalized (k, r)-Fibonacci numbers in the distance sense by extending the definition of a distance in the recurrence relation with two parameters and adding three parameters in the definition of this distance, simultaneously. Tiling and combinatorial interpretations of generalized Fibonacci numbers are presented, and explicit formulas that allow us to calculate the nth number are given. Also generating functions and some identities for these numbers are obtained.

APA, Harvard, Vancouver, ISO, and other styles

8

KARATAŞ, Adnan. "Shifted Fibonacci Numbers." Afyon Kocatepe University Journal of Sciences and Engineering 23, no. 6 (2023): 1440–44. http://dx.doi.org/10.35414/akufemubid.1345862.

Full text

Abstract:

Shifted Fibonacci numbers have been examined in the literature in terms of the greatest common divisor, but appropriate definitions and fundamental equations have not been worked on. In this article, we have obtained the Binet formula, which is a fundamental equation used to obtain the necessary element of the shifted Fibonacci number sequence. Additionally, we have obtained many well-known identities such as Cassini, Honsberger, and various other identities for this sequence. Furthermore, summation formulas for shifted Fibonacci numbers have been presented.

APA, Harvard, Vancouver, ISO, and other styles

9

Herrera, Jose L., Jhon J. Bravo, and Carlos A. Gómez. "Curious Generalized Fibonacci Numbers." Mathematics 9, no. 20 (2021): 2588. http://dx.doi.org/10.3390/math9202588.

Full text

Abstract:

A generalization of the well-known Fibonacci sequence is the k−Fibonacci sequence whose first k terms are 0,…,0,1 and each term afterwards is the sum of the preceding k terms. In this paper, we find all k-Fibonacci numbers that are curious numbers (i.e., numbers whose base ten representation have the form a⋯ab⋯ba⋯a). This work continues and extends the prior result of Trojovský, who found all Fibonacci numbers with a prescribed block of digits, and the result of Alahmadi et al., who searched for k-Fibonacci numbers, which are concatenation of two repdigits.

APA, Harvard, Vancouver, ISO, and other styles

10

Szynal-Liana, Anetta, Andrzej Włoch, and Iwona Włoch. "On Types of Distance Fibonacci Numbers Generated by Number Decompositions." Journal of Applied Mathematics 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/491591.

Full text

Abstract:

We introduce new types of distance Fibonacci numbers which are closely related with number decompositions. Using special decompositions of the numbernwe give a sequence of identities for them. Moreover, we give matrix generators for distance Fibonacci numbers and their direct formulas.

APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Fibonacci numbers"

1

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

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

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

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 majority of the historical results are stated and proved. Along the text several identities concerning Fibonacci and Lucas numbers are shown valid for all integers. Generalized Fibonacci sequences, the relation between Fibonacci and Lucas numbers with the roots of the equation x2 -x -1 = 0 and the connection between Fibonacci and Lucas numbers with a class of matrices in M2(R) are also explored.

APA, Harvard, Vancouver, ISO, and other styles

5

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

6

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

7

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

8

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>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>This work is about research done Fibonacci's Numbers. Initially it presents a brief account of the history of Leonardo Fibonacci, from his most famous work,The Liber Abaci, to the relationship with other elds of Mathematics. Then we will introduce some properties of Fibonacci's Numbers, Binet's Form, Lucas' Numbers and the relationship with Fibonacci's Sequence and an important property observed by Fermat. Within relationships with other areas of Mathematics, we show the relationship Matrices, Trigonometry and Geometry. Also presents the Golden Ellipse and the Golden Hyperbola. We conclude with Tribonacci's Numbers and some properties that govern these numbers. Made some generalizations about Matrices and Polynomials Tribonacci.<br>Este trabalho tem como objetivo o estudo dos Números de Fibonacci. Apresenta-se inicialmente um breve relato sobre a história de Leonardo Fibonacci, desde sua obra mais famosa, O Liber Abaci, até a relação com outros campos da Matemática. Em seguida, apresenta-se algumas propriedades dos Números de Fibonacci, a Fórmula de Binet, os Números de Lucas e a relação com a Sequência de Fibonacci e uma importante propriedade observada por Fermat. Dentro das relações com outras áreas da Matemática, destacamos a relação com as Matrizes, com a Trigonometria, com a Geometria. Apresenta-se também a Elipse e a Hipérbole de Ouro. Concluímos com os Números Tribonacci e algumas propriedades que regem esses números. Realizamos algumas generalizações sobre Matrizes e Polinômios Tribonacci.

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

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/wiki/Fibonacci) (He, C. et al. 2002:533) (Cooper, C et al 2002:115) (Kalman, D. et al. 2003: 167) (Sendegeya, A. et al. 2007). Artificial Intelligence or neural networks is the science and engineering of using computers to understand human intelligence (Callan R. 2003:2) but humans and most things in nature abide to Fibonacci numbers and the golden ratio. Since Neural Networks uses the same algorithms as the human brain does, the aim is to experimentally proof that using Fibonacci numbers as weights, and the golden rule as a learning rate, that this might improve learning curve performance. If the performance is improved it should prove that the algorithm for neural network's do represent its nature counterpart. Two identical Neural Networks was coded in LabVIEW with the only difference being that one had random weights and the other (the adapted one) Fibonacci weights. The results were that the Fibonacci neural network had a steeper learning curve. This improved performance with the neural algorithm, under these conditions, suggests that this formula is a true representation of its natural counterpart or visa versa that if the formula is the simulation of its natural counterpart, then the weights in nature is Fibonacci values.

APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Fibonacci numbers"

1

Vorobiev, Nicolai N. Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Vorobiev, Nicolai N. Fibonacci Numbers. Birkhäuser Basel, 2002.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

3

N, Vorobʹev N. Fibonacci numbers. Dover Publications, 2011.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

4

Bergum, G. E., A. N. Philippou, and A. F. Horadam, eds. Applications of Fibonacci Numbers. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5020-0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Bergum, Gerald E., Andreas N. Philippou, and Alwyn F. Horadam, eds. Applications of Fibonacci Numbers. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-2058-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Philippou, A. N., A. F. Horadam, and G. E. Bergum, eds. Applications of Fibonacci Numbers. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-015-7801-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Bergum, Gerald E., Andreas N. Philippou, and Alwyn F. Horadam, eds. Applications of Fibonacci Numbers. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0223-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Howard, Fredric T., ed. Applications of Fibonacci Numbers. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4271-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Bergum, G. E., A. N. Philippou, and A. F. Horadam, eds. Applications of Fibonacci Numbers. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3586-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Bergum, G. E., A. N. Philippou, and A. F. Horadam, eds. Applications of Fibonacci Numbers. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-1910-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Fibonacci numbers"

1

Vorobiew, Nicolai N. "Number-Theoretic Properties of Fibonacci Numbers." In Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4_3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Lovász, L., J. Pelikán, and K. Vesztergombi. "Fibonacci Numbers." In Discrete Mathematics. Springer New York, 2003. http://dx.doi.org/10.1007/0-387-21777-0_4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Vorobiew, Nicolai N. "Introduction." In Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4_1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Vorobiew, Nicolai N. "The Simplest Properties of Fibonacci Numbers." In Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4_2.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Vorobiew, Nicolai N. "Fibonacci Numbers and Continued Fractions." In Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4_4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Vorobiew, Nicolai N. "Fibonacci Numbers and Geometry." In Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4_5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Vorobiew, Nicolai N. "Fibonacci Numbers and Search Theory." In Fibonacci Numbers. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8107-4_6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Harborth, Heiko, and Arnfried Kemnitz. "Fibonacci Triangles." In Applications of Fibonacci Numbers. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-1910-5_14.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Matoušek, Jiří. "Fibonacci numbers, quickly." In The Student Mathematical Library. American Mathematical Society, 2010. http://dx.doi.org/10.1090/stml/053/01.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Moll, Victor. "The Fibonacci numbers." In The Student Mathematical Library. American Mathematical Society, 2012. http://dx.doi.org/10.1090/stml/065/03.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Fibonacci numbers"

1

Wang, Hsin-Po, and Chi-Wei Chin. "On Counting Subsequences and Higher-Order Fibonacci Numbers." In 2024 IEEE International Symposium on Information Theory (ISIT). IEEE, 2024. http://dx.doi.org/10.1109/isit57864.2024.10619178.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Timofeev, Evgeniy A., and Alexei Kaltchenko. "Entropy estimation and Fibonacci numbers." In SPIE Defense, Security, and Sensing, edited by Harold H. Szu. SPIE, 2013. http://dx.doi.org/10.1117/12.2016140.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Rubio-Sánchez, Manuel, and Isidoro Hernán-Losada. "Exploring recursion with fibonacci numbers." In the 12th annual SIGCSE conference. ACM Press, 2007. http://dx.doi.org/10.1145/1268784.1268931.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Elsner, Carsten, Shun Shimomura, Iekata Shiokawa, and Takao Komatsu. "Reciprocal sums of Fibonacci numbers." In DIOPHANTINE ANALYSIS AND RELATED FIELDS: DARF 2007/2008. AIP, 2008. http://dx.doi.org/10.1063/1.2841913.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Agaian, Sarkis. "Generalized Fibonacci numbers and applications." In 2009 IEEE International Conference on Systems, Man and Cybernetics - SMC. IEEE, 2009. http://dx.doi.org/10.1109/icsmc.2009.5346744.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

LU, W. T., and F. Y. WU. "GENERALIZED FIBONACCI NUMBERS AND DIMER STATISTICS." In In Celebration of the 80th Birthday of C N Yang. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812791207_0026.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Shu, Huang. "Generalization of Dedekind Sums Involving Fibonacci Numbers." In 2010 International Conference on Web Information Systems and Mining (WISM). IEEE, 2010. http://dx.doi.org/10.1109/wism.2010.88.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Fallahpour, Mehdi, and David Megias. "Robust Audio Watermarking Based on Fibonacci Numbers." In 2014 10th International Conference on Mobile Ad-Hoc and Sensor Networks (MSN). IEEE, 2014. http://dx.doi.org/10.1109/msn.2014.58.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Kulaç, Yıldız, and Murat Tosun. "Some equations on p− complex Fibonacci numbers." In 6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5020473.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Zou, Jiancheng, Dongxu Qi, and Rabab K. Ward. "A novel watermarking method based on Fibonacci numbers." In the 2006 ACM international conference. ACM Press, 2006. http://dx.doi.org/10.1145/1128923.1128981.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Fibonacci numbers"

1

Swetz, Frank J. Review ofThe Man of Numbers: Fibonacci's Arithmetic Revolution. The MAA Mathematical Sciences Digital Library, 2012. http://dx.doi.org/10.4169/loci003858.

Full text

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!