Results 81 to 90 of about 717 (218)
Gapsets and the k-generalized Fibonacci sequences
International Journal of Algebra and ComputationWe bring the terminology of the Kunz coordinates of numerical semigroups to gapsets and we generalize this concept to m-extensions. It allows us to identify gapsets and, in general, m-extensions with tilings of boards; as a consequence, we present some applications of this identification.
Gilberto B. Almeida Filho +1 more
openaire +3 more sources
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study establishes a novel algebraic connection between Horadam numbers and the split quaternion algebra. To this end, two fundamental constructs are introduced: the Fibonacci Sq,r‐split quaternions and the Horadam sq,r‐split quaternions, which generalize Horadam numbers within the framework of split quaternions.
İskender Öztürk +2 more
wiley +1 more source
Generalized Pauli Fibonacci Polynomial Quaternions
AxiomsSince Hamilton proposed quaternions as a system of numbers that does not satisfy the ordinary commutative rule of multiplication, quaternion algebras have played an important role in many mathematical and physical studies.
Bahadır Yılmaz +2 more
doaj +1 more source
An Extended Kannan Contraction Mapping and Applications [PDF]
International Journal of Mathematical, Engineering and Management SciencesWe extend the Kannan contraction principle and obtain a result that holds for both contractive and non-expansive mappings. Such mappings admit multiple fixed-points and the fixed-point sets and domains of these mappings display interesting algebraic ...
R. P. Pant
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Nature‐Inspired Design Strategies for Efficient Atmospheric Water Harvesting
Advanced Materials, Volume 37, Issue 51, December 23, 2025.This review presents advances in bioinspired atmospheric water harvesting systems, emphasizing how structural motifs such as wettability gradients, directional transport, and hierarchical porosity have been translated into engineered fog‐collection and vapor‐sorption strategies for enhanced water uptake, accelerated transport, and energy‐efficient ...
Yunchan Lee, Shouhong Fan, Shu Yang
wiley +1 more source
On a conjecture about generalized Q-recurrence
Open Mathematics, 2018 Chaotic meta-Fibonacci sequences which are generated by intriguing examples of nonlinear recurrences still keep their mystery although substantial progress has been made in terms of well-behaved solutions of nested recurrences.
Alkan Altug
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Generalized Fibonacci Sequences and Binet-Fibonacci Curves
, 2017 30 pages, 7 ...
Özvatan, Merve, Pashaev, Oktay K.
openaire +2 more sources
Generalized Fibonacci Sequences
, 2012 The Fibonacci sequence is famous for possessing wonderful and amazing properties. In this paper, we introduce generalized Fibonacci sequences and related identities consisting even and odd terms.
V K Gupta +2 more
core
The matrix sequence in terms of bi-periodic fibonacci numbers
, 2019 In this paper, we define the bi-periodic Fibonacci matrix sequence that represent bi-periodic Fibonacci numbers. Then, we investigate generating function, Binet formula and summations of bi-periodic Fibonacci matrix sequence.
Coşkun, Arzu +3 more
core +1 more source
IEEE AccessTo mitigate data redundancy and communication bandwidth pressure in low-voltage DC (LVDC) system monitoring, this paper proposes a DC fault arc compressive sensing (CS) method based on the Mean-Enhanced Generalized Variable-Parameter Fibonacci (ME-GVF ...
Chenhu Yuan +6 more
doaj +1 more source