ARTICLE
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fibonacci hybrid numbers, Lucas hybrid numbers, Binet Formula, generating function, matrix method.
Online: 14 December 2020 (15:39:16 CET)
ARTICLE

doi:10.20944/preprints202402.0910.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
fibonacci numbers; fibonacci polynomials; fibonacci spinors; generalized fibonacci spinors; generalized fibonacci polynomial spinors
Online: 16 February 2024 (14:15:45 CET)
ARTICLE

doi:10.20944/preprints202312.1434.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
p,q Fibonacci number; p,q Fibonacci quaternion; bicomplex fibonacci number; generating function; catalan identity
Online: 19 December 2023 (11:51:04 CET)
ARTICLE

doi:10.20944/preprints201703.0208.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
closed expression; Fibonacci number; Fibonacci polynomial; tridiagonal determinant; Hessenberg determinant
Online: 28 March 2017 (03:11:06 CEST)
ARTICLE

doi:10.20944/preprints202106.0425.v1
Subject:
Computer Science And Mathematics,
Mathematics
Keywords:
Fibonacci number; Lucas number; summation identity; series; binomial coefficient; cubic Fibonacci identity
Online: 16 June 2021 (08:39:35 CEST)
ARTICLE
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fibonacci numbers; Gaussian Fibonacci numbers; Lucas numbers; Pell numbers; Jacobsthal numbers; sum formulas
Online: 24 February 2020 (13:58:54 CET)
ARTICLE

doi:10.20944/preprints201910.0172.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fibonacci numbers; Lucas numbers; dual hyperbolic numbers; dual hyperbolic Fibonacci numbers; Cassini identity
Online: 16 October 2019 (04:19:15 CEST)
ARTICLE

doi:10.20944/preprints202311.0284.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fibonacci number, Lucas number, gibonacci sequence, generalized Fibonacci sequence, summation identity, GelinCes\`aro identity, Candido's identity.
Online: 6 November 2023 (08:16:09 CET)
ARTICLE

doi:10.20944/preprints202106.0067.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fibonacci number, Lucas number, summation identity, series.
Online: 2 June 2021 (10:16:28 CEST)
ARTICLE

doi:10.20944/preprints202104.0034.v5
Subject:
Biology And Life Sciences,
Biochemistry And Molecular Biology
Keywords:
SARSCoV2; Biomathematics; vaccine; variants; mRNA; Fibonacci; numerical standing waves
Online: 20 April 2021 (10:05:55 CEST)
ARTICLE

doi:10.20944/preprints201907.0120.v1
Subject:
Biology And Life Sciences,
Biochemistry And Molecular Biology
Keywords:
Synthetic genomes, Epigenetics, Transposons, Biomathematics, Fibonacci numbers
Online: 8 July 2019 (12:53:15 CEST)
ARTICLE
Subject:
Physical Sciences,
Acoustics
Keywords:
Fibonacci numbers; the Golden Ratio; the Golden Mean; dimensionality; quasiparticles; anions; nonAbelian; Fibonacci; excitations; Dimensional Gate Operators
Online: 22 February 2021 (15:21:52 CET)
ARTICLE

doi:10.20944/preprints202106.0002.v1
Subject:
Engineering,
Electrical And Electronic Engineering
Keywords:
sensing; energysaving; duty cycles; Fibonacci tree optimization
Online: 1 June 2021 (08:35:20 CEST)
ARTICLE

doi:10.20944/preprints201908.0284.v4
Subject:
Biology And Life Sciences,
Biochemistry And Molecular Biology
Keywords:
hyperbolic numbers; matrix; eigenvectors; genetics; Punnett squares; Fibonacci numbers; phyllotaxis; music harmony; literary texts; doubly stochastic matrices
Online: 13 April 2020 (11:04:05 CEST)
ARTICLE

doi:10.20944/preprints202304.0833.v1
Subject:
Engineering,
Mechanical Engineering
Keywords:
Jeffcott Rotors; Fibonacci; Vibration; Pattern Recognition; Digital Signal Processing.
Online: 24 April 2023 (07:47:25 CEST)
ARTICLE

doi:10.20944/preprints202105.0378.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fibonacci number, Lucas number, summation identity, series, binomial coefficient.
Online: 17 May 2021 (09:54:20 CEST)
ARTICLE

doi:10.20944/preprints202307.1853.v1
Subject:
Computer Science And Mathematics,
Data Structures, Algorithms And Complexity
Keywords:
blockchain; consensual algorithm; PBFT algorithm; Node evaluation mechanism; Fibonacci grouping
Online: 27 July 2023 (10:22:16 CEST)
ARTICLE

doi:10.20944/preprints202101.0191.v1
Subject:
Social Sciences,
Sociology
Keywords:
economic systems; social structure; ownership; the Fibonacci sequence; surplus value
Online: 11 January 2021 (12:41:23 CET)
ARTICLE

doi:10.20944/preprints202004.0437.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fibonacci numbers; Lucas numbers; Pell numbers; Jacobsthal numbers; sum formulas
Online: 24 April 2020 (10:35:07 CEST)
ARTICLE

doi:10.20944/preprints201906.0303.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
quaternions, octonions, sedenions, Horadam numbers, Fibonacci quaternion, CayleyDickson algebra
Online: 29 June 2019 (10:32:29 CEST)
ARTICLE

doi:10.20944/preprints202403.1293.v1
Subject:
Biology And Life Sciences,
Cell And Developmental Biology
Keywords:
mitosis; Fibonacci; Golden Ratio; epigenomics; simplex topology; cell adhesion; organogenesis; morphogenesis
Online: 22 March 2024 (11:34:34 CET)
ARTICLE

doi:10.20944/preprints202401.0735.v1
Subject:
Biology And Life Sciences,
Life Sciences
Keywords:
genetic code; amino acids; Fibonaccilike sequences; hydrogen patterns; atom patterns
Online: 10 January 2024 (08:52:54 CET)
ARTICLE

doi:10.20944/preprints202401.0143.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Sequence spaces; Fibonacci numbers; Compact operators; Hausdorff measure of noncompactness
Online: 3 January 2024 (05:44:18 CET)
ARTICLE

doi:10.20944/preprints202208.0231.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
Phyllotactic spiralring pattern; Galactic spiral equations; Simulation; Fibonacci sibling sequence
Online: 12 August 2022 (08:49:00 CEST)
ARTICLE

doi:10.20944/preprints202112.0429.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Horadam numbers; Horadam sequence; sum; partial sum; Fibonacci numbers; Lucas numbers
Online: 27 December 2021 (13:48:06 CET)
ARTICLE
Subject:
Biology And Life Sciences,
Biochemistry And Molecular Biology
Keywords:
SARSCoV2; Biomathematics; vaccine; variants; mRNA; Fibonacci; Indian variants; B.1.617; B.1.617.2.
Online: 18 May 2021 (14:05:33 CEST)
ARTICLE

doi:10.20944/preprints201903.0137.v2
Subject:
Physical Sciences,
Quantum Science And Technology
Keywords:
quantum groups; quantum gravity; quantum information; particle physics; quasicrystals; Fibonacci anyons
Online: 6 May 2019 (09:06:55 CEST)
ARTICLE

doi:10.20944/preprints202408.1150.v1
Subject:
Computer Science And Mathematics,
Applied Mathematics
Keywords:
k– Fibonacci numbers; binet identity; recurrence relation; generating function; Leonardo numbers
Online: 15 August 2024 (12:21:32 CEST)
ARTICLE

doi:10.20944/preprints202106.0187.v3
Subject:
Biology And Life Sciences,
Biochemistry And Molecular Biology
Keywords:
SARSCoV2; Biomathematics; Benford law; trials; Epidemiology; Fibonacci; data analysis; big data
Online: 11 June 2021 (15:47:44 CEST)
ARTICLE
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Dual numbers; hyperdual numbers; dual quaternions; Fibonacci numbers; hyperdual Horadam quaternions
Online: 17 March 2021 (11:02:31 CET)
ARTICLE

doi:10.20944/preprints202011.0539.v2
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fibonacci number; Lucas number; summation identity; series; digamma function; polygamma function; zeta function
Online: 3 February 2021 (10:29:55 CET)
ARTICLE

doi:10.20944/preprints201809.0258.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Chebyshev polynomials of second kind; Fibonacci polynomials; sums of finite products; orthogonal polynomials
Online: 14 September 2018 (10:17:50 CEST)
ARTICLE

doi:10.20944/preprints202306.1230.v1
Subject:
Biology And Life Sciences,
Biology And Biotechnology
Keywords:
genetic code; symmetries; Fibonaccilike sequences; amino acids; ribonucleotides; patterns; hydrogen; atom; molecular mass
Online: 16 June 2023 (11:02:55 CEST)
ARTICLE

doi:10.20944/preprints202209.0044.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Horadam sequence; Fibonacci number; Lucas number; Lucas sequence; summation identity; nested sum; multiple sum
Online: 5 September 2022 (07:07:39 CEST)
ARTICLE

doi:10.20944/preprints202311.0033.v1
Subject:
Biology And Life Sciences,
Biophysics
Keywords:
water; fullerene C60; icosahedral softmatter; hydrogen bonds; Fibonacci water chains; nano/micro molecular machinery; cancer; nanomedicine
Online: 1 November 2023 (09:07:20 CET)
ARTICLE

doi:10.20944/preprints202211.0045.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Leonardo numbers, LeonardoLucas numbers, pLeonardo numbers, pLeonardoLucas numbers, Tribonacci numbers, Fibonacci numbers, Lucas numbers.
Online: 2 November 2022 (04:43:22 CET)
ARTICLE

doi:10.20944/preprints202208.0293.v1
Subject:
Physical Sciences,
Atomic And Molecular Physics
Keywords:
Golden ratio; Irrational numbers; Fibonacci sequence; Spiral galaxy; Planetary orbits; KAM Theorem; Ultimatum game; Proteins; Penrose tiling; Quasicrystals
Online: 16 August 2022 (14:29:27 CEST)
ARTICLE

doi:10.20944/preprints202204.0176.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
ceiling function; floor function; Fibonacci Number; Generalised Dirichlet series; Lerch  Zeta Function; Hurwitz  Zeta function; Polylogarithm; RiemannZeta function
Online: 19 April 2022 (06:03:59 CEST)
ARTICLE
Subject:
Social Sciences,
Psychology
Keywords:
living systems; the Fibonacci sequence; systems strategies; a human's information analysis; the two hemispheres of the brain; differential personality models
Online: 8 February 2021 (16:17:11 CET)
ARTICLE

doi:10.20944/preprints201809.0129.v1
Subject:
Computer Science And Mathematics,
Analysis
Keywords:
Asymptotically nonexpansive mapping, Fibonacci sequence, fixed point, Mann iteration process, modular function spaces, monotone Lipschitzian mapping, Opial condition, uniformly convexity.
Online: 7 September 2018 (10:58:24 CEST)
ARTICLE

doi:10.20944/preprints202011.0463.v1
Subject:
Computer Science And Mathematics,
Algebra And Number Theory
Keywords:
Fibonacci number; Lucas number; summation identity; series; generating function; gamma function; digamma function; trigonometric functions; inverse tangent; bernoulli number; zeta function
Online: 18 November 2020 (10:19:50 CET)
ARTICLE

doi:10.20944/preprints202401.1113.v5
Subject:
Physical Sciences,
Mathematical Physics
Keywords:
assembly theory; emergent dimensionality; holographic principle; black holes; complexity measures; P versus NP problem; Gö; del's incompleteness theorems; halting problem; elegant program; Fibonacci sequence; Collatz conjecture; addition chains; quantum orthogonalization interval theorems; second law of infodynamics; mathematical physics; binputation
Online: 14 March 2024 (10:02:52 CET)