Results 11 to 20 of about 96,007 (248)
Notes on Number Theory and Discrete Mathematics, 2022 In this study, we introduce the complex Leonardo numbers and give some of their properties including Binet formula, generating function, Cassini and d’Ocagne’s identities. Also, we calculate summation formulas for complex Leonardo numbers involving complex Fibonacci and Lucas numbers.
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A New Class of Leonardo Hybrid Numbers and Some Remarks on Leonardo Quaternions over Finite Fields
Mathematics, 2023 In this paper, we present a new class of Leonardo hybrid numbers that incorporate quantum integers into their components. This advancement presents a broader generalization of the q-Leonardo hybrid numbers. We explore some fundamental properties associated with these numbers. Moreover, we study special Leonardo quaternions over finite fields.
Elif Tan, Diana Savin, Semih Yılmaz
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Fibonacci numbers and Leonardo numbers [PDF]
, 1981 circulated privatelyComputer ...
Dijkstra, Edsger Wybe
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On the Generalized Leonardo Numbers
, 2022 See the abstract in the attached pdf.
Kuhapatanakul, K., Chobsorn, J.
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Generalized Leonardo Numbers [PDF]
, 2021 In this paper, we investigate the generalized Leonardo sequences and we deal with, in detail, three special cases, namely, modified Leonardo, Leonardo-Lucas and Leonardo sequences.
Soykan, Yüksel
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GAUSSIAN LEONARDO POLYNOMIALS AND APPLICATIONS OF LEONARDO NUMBERS TO CODING THEORY
Journal of Science and Arts, 2023 In this paper, we firstly introduce the Gaussian Leonardo polynomial sequences {GLe_n (x)}_(n=0)^∞ and we obtain Binet's formula, generating function of this sequence. Moreover, we define the matrix Gl(x) in the form of 3 x 3. Finally, we study on the coding and decoding applications of the Leonardo number by using the Leonardo matrix P.
SELİME BEYZA ÖZÇEVİK +1 more
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A K3 surface related to Leonardo Pisano’s work on congruent numbers
Expositiones Mathematicae, 2023 This note recalls an early 13th century result on congruent numbers by Leonardo Pisano (“Fibonacci”), and shows how it relates to a specific much studied K3 surface and to an elliptic fibration on this surface. As an aside, the discussion reveals how, via explicit maps of degree two, the surface is covered by the Fermat quartic surface and also covers ...
Martin Djukanović, Jaap Top
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Leonardo's rule, self-similarity and wind-induced stresses in trees [PDF]
, 2011 Examining botanical trees, Leonardo da Vinci noted that the total cross-section of branches is conserved across branching nodes. In this Letter, it is proposed that this rule is a consequence of the tree skeleton having a self-similar structure and the ...
B. B. Mandelbrot +11 more
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Developments in the evaluation of work-based learning: A UK perspective [PDF]
, 2004 UK higher education institutions are now expected to be able to demonstrate that they are adhering to the Code of Practice for the Assurance of Academic Quality and Standards in Higher Education in Placement Learning. The responsibility for ensuring that
Murdoch, Ian
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, 2004 This report will focuses on the current innovations and the future development of the practices and approaches to the assessment of learning in the area of work-based Vocational Education & Training in Ireland.
Lalor, John +2 more
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