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A New Generalization of Leonardo Sequences: Biperiodic Leonardo Sequence
Journal of MathematicsIn this study, we define a new type of number sequence called biperiodic Leonardo sequence by the recurrence relation Lena,b=aLen−1+Len−2+1 (for even n) and Lena,b=bLen−1+Len−2+1 (for odd n) with the initial conditions Le0a,b=Le1a,b=1.
Hasan Gökbaş
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Notes on generalized and extended Leonardo numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 This paper both extends and generalizes recently published properties which have been developed by many authors for elements of the Leonardo sequence in the context of second-order recursive sequences.
Anthony G. Shannon +2 more
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Leonardo da Vinci’s Contributions from a Design Perspective
Designs, 2020 The figure of Leonardo da Vinci has been extensively studied. In fact, the Leonardiana Library brings together tens of thousands of titles on Leonardo and his work.
Ernesto Cerveró-Meliá +2 more
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Generalized Bronze Leonardo sequence [PDF]
Notes on Number Theory and Discrete MathematicsIn this study, we define the Bronze Leonardo, Bronze Leonardo–Lucas, and Modified Bronze Leonardo sequences, and some terms of these sequences are given. Then, we give special summation formulas, special generating functions, etc.
Engin Özkan, Hakan Akkuş
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Logical minimization for combinatorial structure in FPGA
Informatika, 2021 The paper describes the research results of application efficiency of minimization programs of functional descriptions of combinatorial logic blocks, which are included in digital devices projects that are implemented in FPGA.
P. N. Bibilo +2 more
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Construction of generalized bicomplex Leonardo numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce a new class of bicomplex numbers whose components are expressed in terms of bicomplex Leonardo numbers. The motivation for this study arises from the growing interest in generalizations of well-known integer sequences within ...
Murat Turan +1 more
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Salvator Mundi: an investigation of the painting’s materials and techniques
Heritage Science, 2020 Before the start of its restoration in 2007, the Salvator Mundi was thought to be one of a number of copies of a long-lost Leonardo da Vinci painting, depicting Christ giving a blessing with his right hand while holding a crystal orb in his left.
Nica Gutman Rieppi +7 more
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Determinant-preserving blind signatures from Hadamard-type t-Jacobsthal–Leonardo sequences [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce a new class of sequences called the termed Hadamard-type t-Jacobsthal-Leonardo sequence which is generated by applying a Hadamard-type product to the characteristic polynomials of the t-Jacobsthal and Leonardo sequences.
Elahe Mehraban +3 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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Structural Beauty: A Structure-Based Computational Approach to Quantifying the Beauty of an Image
Journal of Imaging, 2021 To say that beauty is in the eye of the beholder means that beauty is largely subjective so varies from person to person. While the subjectivity view is commonly held, there is also an objectivity view that seeks to measure beauty or aesthetics in some ...
Bin Jiang, Chris de Rijke
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