Results 61 to 70 of about 1,751,759 (303)

A new approach to hyper dual numbers with tribonacci and tribonacci-Lucas numbers and their generalized summation formulas

Journal of Innovative Applied Mathematics and Computational Sciences
Motivated by the definition of Tribonacci quaternions, we define hyper-dual numbers whose components involve Tribonacci and Tribonacci-Lucas numbers. We refer to these new numbers as hyper-dual Tribonacci numbers and hyper-dual Tribonacci-Lucas numbers,
Ahmad Ali Mehrad, Mansoor Kakar Mirwais
doaj   +1 more source

Transformations of Pythagorean triples generated by generalized Fibonacci numbers [PDF]

Notes on Number Theory and Discrete Mathematics
We present matrices that transform Pythagorean triples arising from generalized Fibonacci sequences into other such triples. We also show that entries in the powers of such matrices can be expressed in terms of generalized Fibonacci sequences.
Jathan Austin
doaj   +1 more source

Real‐world effectiveness and safety of secukinumab in giant cell arteritis: an Italian multicentre cohort study

Arthritis Care &Research, Accepted Article.
Objective The objective of this study was to evaluate the real‐world effectiveness and safety of secukinumab in giant cell arteritis (GCA) patients. Methods This multicentre retrospective study included patients with GCA who received secukinumab at 14 Italian centres with at least 6 months of follow‐up.
Luca Iorio, Federica Davanzo, Caterina Ricordi, Milena Bond, Ruggiero Mascolo, Jacopo Mora, Alessandro Tomelleri, Angelo Fassio, Francesca Cuzzocrea, Sara Monti, Edoardo Conticini, Fabiola Atzeni, Paolo Delvino, Carlotta Nannini, Augusta Ortolan, Francesco Pollastri, Ester Vivaldelli, Chiara Marvisi, Paola Toniati, Antonio Brucato, Alessandra Milanesi, Francesca Regola, Enrico Tombetti, Lorenzo Dagna, Roberta Ramonda, Christian Dejaco, Luca Quartuccio, Carlo Salvarani, Roberto Padoan, The Italian Society of Rheumatology Vasculitis Study Group   +29 more
wiley   +1 more source

Superlubricity and Corrosion Inhibition Properties of Solvate Ionic Liquids in Hybrid Carbon Fiber Reinforced Plastic–Steel Interfaces

Advanced Engineering Materials, EarlyView.
Solvate ionic liquids lubrication reduced the coefficient of friction by ∼60% compared to dry sliding, reaching steady‐state values as low as 0.04–0.05. Corrosion weight‐loss measurements in 1 M HCl further demonstrated significant inhibition behavior, with only 100 ppm of [Li(G3)][TFSI] (∼68.5 μL/L) reducing corrosion‐product weight loss by 63 ...
Sameh Dabees, Timothy Harte, Bhagya Dharmasiri, Y. Athulya Wickramasingha, David J. Hayne, Daniel J. Eyckens, Luke C. Henderson   +6 more
wiley   +1 more source

ATP‐Mediated Bidirectional Communication Between Natural and Artificial Cells for Controlled Bioreactions

Advanced Functional Materials, EarlyView.
Establishment of bidirectional communication behavior between natural and artificial cells. The first type of communication from natural dendritic cells to artificial polymeric cells was achieved via ATP release after cell lysis. The released ATP was taken up via gated UV‐controlled permeability increase of the polymeric membrane for performing ...
Ilona Kalte, Tsvetomir Ivanov, Leonhard Seufert, Shoupeng Cao, Lucas Caire da Silva, Volker Mailänder, Katharina Landfester   +6 more
wiley   +1 more source

On Mersenne Numbers and their Bihyperbolic Generalizations

Annales Mathematicae Silesianae
In this paper, we introduce Mersenne and Mersenne–Lucas bihyperbolic numbers, i.e. bihyperbolic numbers whose coefficients are consecutive Mersenne and Mersenne–Lucas numbers.
Bród Dorota, Szynal-Liana Anetta
doaj   +1 more source

On mixed $b$-concatenations of Fibonacci and Lucas numbers that are Lucas numbers

Let $(F_n)_{n\ge0}$ and $(L_n)_{n\ge0}$ denote the sequences of Fibonacci and Lucas numbers respectively. This paper determines all Lucas numbers that can be represented as base $b$ mixed concatenations of a Fibonacci number and a Lucas number. Mathematically, we study of two Diophantine equations $L_n=b^dL_m+F_k$ and $L_n=b^dF_m+L_k$, where $d$ is the
Batte, Herbert, Kaggwa, Prosper
openaire   +2 more sources

Resonant Domain Wall Dynamics in a Three‐Dimensional Magnetic Nano Double Helix

Advanced Materials, EarlyView.
3D magnetic nanostructures promise exciting possibilities for magnetization dynamics. However, experimental realizations remain scarce. In nanoprinted cobalt double helices, time‐resolved X‐ray microscopy reveals harmonic domain wall dynamics. Simulations identify the mode and additional higher‐frequency resonances, revealing a rich dynamic landscape ...
Pamela Morales‐Fernández, Iason Konstantinos‐Douveas, Claas Abert, Elina Zhakina, Sandra Ruiz‐Gómez, Claudia Fernández‐González, Luke Alexander Turnbull, Sebastian Wintz, Markus König, Simone Finizio, Markus Weigand, Naëmi Leo, Dieter Suess, Aurelio Hierro‐Rodríguez, Amalio Fernández‐Pacheco, Claire Donnelly   +15 more
wiley   +1 more source

On the Incomplete Edouard and Incomplete Edouard–Lucas Numbers

Mathematics
This study introduces two new sequences: the incomplete Edouard and the incomplete Edouard–Lucas numbers. In addition, we establish some of the properties, identities, and recurrence relations of these sequences. The relations of these new sequences with
Elen Viviani Pereira Spreafico, Eudes Antonio Costa, Paula Catarino   +2 more
doaj   +1 more source

Block Card 1625 Fulton Lucas Road

, 1990
This image was produced by the Auditor's Office in Lucas County, Ohio for tax assessment purposes. Associated dates are approximate. Descriptive terms related to this photograph include: barns | Harding (Ohio : Township) | Fulton Lucas Road (Lucas ...
Lucas County (Ohio). Auditor's Office
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