Results 31 to 40 of about 105,046 (265)
A new perspective on bicomplex numbers with Leonardo number components
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 In the present paper, the bicomplex Leonardo numbers will be introduced with the use of Leonardo numbers and some important algebraic properties including recurrence relation, generating function, Catalan’s and Cassini’s identities, Binet’s formula, sum formulas will also be obtained.
Murat TURAN +2 more
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Non-Fisherian generalized Fibonacci numbers [PDF]
Notes on Number Theory and Discrete MathematicsUsing biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
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Severi-Bouligand tangents, Frenet frames and Riesz spaces [PDF]
, 2014 It was recently proved that a compact set $X\subseteq \mathbb R^2$ has an outgoing Severi-Bouligand tangent vector $u\not=0$ at $x\in X$ iff some principal ideal of the Riesz space $\mathcal R(X)$ of piecewise linear functions on $X$ is not an ...
Cabrer, Leonardo Manuel +1 more
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Leonardo and hyper-Leonardo numbers via Riordan arrays
Ukrains’kyi Matematychnyi ZhurnalUDC 511 A generalization of the Leonardo numbers is defined and called the hyper-Leonardo numbers. Infinite lower triangular matrices, whose elements are Leonardo and hyper-Leonardo numbers are considered. Then the A - and Z -sequences of these matrices are obtained. Finally, the combinatorial identities between the hyper-Leonardo and Fibonacci
Alp, Yasemin, Kocer, E. Gokcen
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Isometry-invariant geodesics and the fundamental group, II
, 2017 We show that on a closed Riemannian manifold with fundamental group isomorphic to $\mathbb{Z}$, other than the circle, every isometry that is homotopic to the identity possesses infinitely many invariant geodesics.
Macarini, Leonardo, Mazzucchelli, Marco
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Learning to image and compute with multimode optical fibers
Nanophotonics, 2022 Multimode fibers (MMF) were initially developed to transmit digital information encoded in the time domain. There were few attempts in the late 60s and 70s to transmit analog images through MMF.
Rahmani Babak +5 more
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, 2016 In this paper, we present two new results of layered permutation densities. The first one generalizes theorems from H\"{a}st\"{o} (2003) and Warren (2004) to compute the permutation packing of permutations whose layer sequence is~$(1^a,\ell_1,\ell_2 ...
Bastos, Josefran de Oliveira +1 more
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Nucleotide Frequencies in Human Genome and Fibonacci Numbers [PDF]
, 2006 This work presents a mathematical model that establishes an interesting connection between nucleotide frequencies in human single-stranded DNA and the famous Fibonacci's numbers. The model relies on two assumptions.
A. Dress +14 more
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The First Study of Mersenne--Leonardo Sequence
Communications in Advanced Mathematical SciencesIn this study, we introduce a new class of numbers, referred to as Modified Mersenne--Leonardo numbers. The aim of this paper is to define the Modified Mersenne--Leonardo sequence and investigate some of its properties, including the recurrence relation,
Paula Maria Machado Cruz Catarino +1 more
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Run-and-tumble particles in speckle fields
, 2014 The random energy landscapes developed by speckle fields can be used to confine and manipulate a large number of micro-particles with a single laser beam.
Angelani, L. +2 more
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