Results 41 to 50 of about 30,143 (265)

Diophantine equations with Lucas and Fibonacci number coefficients [PDF]

Notes on Number Theory and Discrete Mathematics
Fibonacci and Lucas numbers are special number sequences that have been the subject of many studies throughout history due to the relations they provide.
Cemil Karaçam, Alper Vural, Bilal Aytepe, Ferhat Yıldız   +3 more
doaj   +1 more source

MIN MATRICES WITH HYPER LUCAS NUMBERS

Journal of Science and Arts, 2020
In this paper, we examine Min matrix L[Lk+min(i,j)-1]i,j=1 where Ln(r) denotes the nth hyper-Lucas number of order r. We mainly focus on characteristic polynomial of L. Also, we compute determinants, inverses of L and its Hadamard inverse. Moreover, we give a numerical example to illustrate our results.
Özgül, Derya, Bahşi, Mustafa
openaire   +2 more sources

PBF‐LB/M of Ti‐6Al‐4V: High‐Pressure Solution Treatment and Aging for Applications in a Sustainable Aerospace

Advanced Engineering Materials, EarlyView.
Additive manufacturing (AM) allows great geometric freedom for lightweight components. As parts are progressively optimized exploiting potentials in AM leading in smaller material cross sections, high pressure solution treating and aging (STA) treatments show an enormous potential for strongly improving material properties.
Mika León Altmann, Andre Danzig, Freerk Syassen, Rainer Fechte‐Heinen, Anastasiya Toenjes   +4 more
wiley   +1 more source

Interaction between Molten Al‐Killed Mn–B Steel and Carbon‐Bonded MgO Refractories Based on Recyclates

Advanced Engineering Materials, EarlyView.
High‐temperature interactions between low‐sulfur Al‐killed Mn–B steel and MgO–C refractories (0 and 50 wt% recyclates) are studied via finger immersion tests (1600 °C). Surface‐active elements influence infiltration. MgO/CaS layer forms, along with spinel and calcium silicate.
Matheus Roberto Bellé, Lukas Neubert, Anton Yehorov, Till M. J. Stadtmüller, Christos G. Aneziris, Olena Volkova   +5 more
wiley   +1 more source

A Study on Dual Hyperbolic Fibonacci and Lucas Numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers.
Cihan Arzu, Azak Ayşe Zeynep, Güngör Mehmet Ali, Tosun Murat   +3 more
doaj   +1 more source

Bi-Periodic (p,q)-Fibonacci and Bi-Periodic (p,q)-Lucas Sequences

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
In this paper, we define bi-periodic (p,q)-Fibonacci and bi-periodic (p,q)-Lucas sequences, which generalize Fibonacci type, Lucas type, bi-periodic Fibonacci type and bi-periodic Lucas type sequences, using recurrence relations of (p,q)-Fibonacci and (p,
Yasemin Taşyurdu, Naime Şeyda Türkoğlu   +1 more
doaj   +1 more source

CO2 Reduction on Copper‐Nitrogen‐Doped Carbon Catalysts Tuned by Pulsed Potential Electrolysis: Effect of Pulse Potential

Advanced Functional Materials, EarlyView.
This study demonstrates that pulsed potential electrolysis significantly improves CO2 reduction performance on copper‐nitrogen doped carbon electrodes. The formation of cationic copper sites and metallic clusters as a function of applied intermittent potential leads to notable selectivity changes compared to potentiostatic reduction.
Dorottya Hursán, Janis Timoshenko, Andrea Martini, Hyo Sang Jeon, Eduardo Ortega, Martina Rüscher, Arno Bergmann, Aram Yoon, Uta Hejral, Antonia Herzog, Clara Rettenmaier, Felix T. Haase, Philipp Grosse, Beatriz Roldan Cuenya   +13 more
wiley   +1 more source

Congruences for $q$-Lucas Numbers

The Electronic Journal of Combinatorics, 2013
For $\alpha,\beta,\gamma,\delta\in{\mathbb Z}$ and ${\rm\nu}=(\alpha,\beta,\gamma,\delta)$, the $q$-Fibonacci numbers are given by$$F_0^{{\rm\nu}}(q)=0,\ F_1^{{\rm\nu}}(q)=1\text{ and }F_{n+1}^{{\rm\nu}}(q)=q^{\alpha n-\beta}F_{n}^{{\rm\nu}}(q)+q^{\gamma n-\delta}F_{n-1}^{{\rm\nu}}(q)\text{ for }n\geq 1.$$And define the $q$-Lucas number $L_{n}^{{\rm\nu}
openaire   +2 more sources

PEDOT‐Based Eutectogel Electrode Arrays for Enhanced High‐Resolution Electrogastrography: Fabrication, Stability, and Wearable Performance

Advanced Functional Materials, EarlyView.
Here, we present a high‐density PEDOT eutectogel electrode array for enhanced body surface gastric mapping. Silver electrodes are blade‐coated onto flexible substrates, followed by electrogelation of PEDOT:PSS and the deposition of a PEDOT:LS eutectogel.
Christopher Slaughter, Luke Gatecliff, Xudong Tao, Ruben Ruiz‐Mateos Serrano, Amy T. Jin, Matias L. Picchio, Daniele Mantione, Antonio Dominguez‐Alfaro, George G. Malliaras   +8 more
wiley   +1 more source

Non-Newtonian Pell and Pell-Lucas numbers

Journal of New Results in Science
In the present paper, we introduce a new type of Pell and Pell-Lucas numbers in terms of non-Newtonian calculus, which we call non-Newtonian Pell and non-Newtonian Pell-Lucas numbers, respectively.
Tülay Yağmur
doaj   +1 more source