Results 11 to 20 of about 340 (114)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, first we define Horadam octonions by Horadam sequence which is a generalization of second order recurrence relations. Also, we give some fundamental properties involving the elements of that sequence.
Karataş Adnan, Halici Serpil
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On a generalization of the Gadovan numbers [PDF]
Mathematica MoravicaIn this paper, we define (k, l)-Gadovan numbers. We give the Binet-like formula, the generating functions, the exponential generating function of the (k, l)-Gadovan numbers. Also, we derive Cassinilike identity, Catalan-like identity, Vajda-like identity,
Özkan Engın, Eser Engın, Uysal Mıne
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Quadratic Approximation of Generalized Tribonacci Sequences
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, we give quadratic approximation of generalized Tribonacci sequence {Vn}n≥0 defined by Vn = rVn−1 + sV n−2 + tV n−3 (n ≥ 3) and use this result to give the matrix form of the n-th power of a companion matrix of {Vn}n≥0. Then we re-prove the
Cerda-Morales Gamaliel
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The Quaterniontonic and Octoniontonic Fibonacci Cassini’s Identity: An Historical Investigation with the Maple’s Help [PDF]
International Electronic Journal of Mathematics Education, 2018 This paper discusses a proposal for exploration and verification of numerical and algebraic behavior correspondingly to Generalized Fibonacci model. Thus, it develops a special attention to the class of Fibonacci quaternions and Fibonacci octonions and with this assumption, the work indicates an investigative and epistemological route, with assistance ...
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Cassini, d'Ocagne, and Vajda identities for n-step Fibonacci numbers
, 2022 Results of this paper concern $n$-determinants which we defined in the paper \cite{jan}. In the paper \cite{jabo}, $2$-determinants are considered. In this paper, we extend results from \cite{jabo} on $n$-determinants by proving that Cassini, d'Ocagne, Catalan and Vajda identities may be extended to hold for $n$-step Fibonacci numbers.
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World Journal of Surgery, EarlyView.Although most screening tools are brief, feasible for self‐administration, and freely accessible, none integrated all three domains. Substantial heterogeneity in tools highlights the need for a comprehensive, validated multidomain preoperative screening tool for this population.
Alexandria Paige Petridis +17 more
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On the (r, p, k)-Generalized Jacobsthal Numbers and the Jacobsthal Fundamental Fibonacci System
Trends in Computational and Applied MathematicsThe main goal of this paper is to study the model of the sequences of (r, p, k)-generalized Jacobsthal numbers, by the approach based on the properties of its associated Jacobsthal fundamental Fibonacci system and its fundamental sequence.
M. Rachidi, F. Yilmaz
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Fiboquadratic Sequences and Extensions of the Cassini Identity Raised From the Study of Rithmomachia
, 2015 18 pages, 4 figures, 6 ...
Guardia, Tomás, Jiménez, Douglas
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Integrative Zoology, EarlyView.This study provides the first isotopic analysis of Oligocene mammals from Quebrada Fiera, Mendoza, Argentina, filling a major gap in South American paleontology. It reveals a latitudinal gradient in aridity due to the Andean rain shadow and highlights the role of (semi)permanent water bodies in sustaining diverse herbivore communities. Additionally, it
Dánae Sanz‐Pérez +4 more
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Journal of Small Animal Practice, EarlyView.Surgical antimicrobial prophylaxis involves the administration of antimicrobials to reduce the risk of a surgical site infection and represents a significant proportion of all antimicrobial use in cats and dogs. This evidence‐based, European Network for Optimization of Veterinary Antimicrobial Therapy guideline provides recommendations for both peri ...
F. Allerton +21 more
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