Results 41 to 50 of about 12,049 (240)

On some identities for the DGC Leonardo sequence [PDF]

Notes on Number Theory and Discrete Mathematics
In this study, we examine the Leonardo sequence with dual-generalized complex (DGC) coefficients for 𝔭∈ℝ. Firstly, we express some summation formulas related to the DGC Fibonacci, DGC Lucas, and DGC Leonardo sequences.
Çiğdem Zeynep Yılmaz, Gülsüm Yeliz Saçlı   +1 more
doaj   +1 more source

Spin Injection Of Exciton–Polaritons With Halide Perovskites At Room Temperature

Advanced Functional Materials, EarlyView.
A monolithic Tamm‐plasmon microcavity embedding a two‐dimensional halide perovskite enables room‐temperature spin injection of exciton‐polaritons under quasi‐resonant optical excitation. Polarization‐resolved spectroscopy reveals partial preservation of the injected spin in the lower polariton branch, while bare excitons remain fully depolarized.
Elena Sendarrubias Arias‐Camisón, Maksim Lednev, Jorge Cuadra, Raúl Gago, Luis Viña, Francisco José García Vidal, Johannes Feist, Ferry Prins, Carlos Antón Solanas   +8 more
wiley   +1 more source

An Edible Chitosan‐Based Acoustic Sensor for Sound‐Responsive Actuation in Edible Robots

Advanced Functional Materials, EarlyView.
This study introduces an edible acoustic sensor for robotic food and edible robotics. Built from a chitosan piezoelectric film between gold electrodes, the sensor enables acoustic communication through ON/OFF keying. Integrated into an edible robot with pneumatically actuated arms and neck, it responds to high‐frequency tones.
Valerio Francesco Annese, Bokeon Kwak, Gaia de Marzo, Giulia Coco, Valentina Antonaci, Leonardo Lamanna, Massimo De Vittorio, Dario Floreano, Mario Caironi   +8 more
wiley   +1 more source

Some results on geometric circulant matrices involving the Leonardo numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this study, by the motivation of the papers in the literature, we construct a special geometric circulant matrix Leᵣ* whose entries are the Leonardo numbers. Then, we investigate some linear algebraic properties of these matrices.
Samet Arpacı, Fatih Yılmaz
doaj   +1 more source

A New Family of Number Sequences: Leonardo-Alwyn Numbers

Armenian Journal of Mathematics, 2023
In this study, we define a new type of number sequence called Leonardo-Alwyn sequence. We obtain the Binet formula, generating function and some relations for these numbers. Moreover, we give the matrix representation of the Leonardo-Alwyn numbers.
openaire   +1 more source

Bioinspired Adaptive Surfaces for Intelligent Liquid Manipulation: Progressing From Passive and Active to Hybrid Strategies

Advanced Materials, EarlyView.
This review examines passive, active, and hybrid liquid manipulation strategies, highlighting hybrid approaches as an emerging route to reconcile energy efficiency with adaptive control. By actively reconstructing passive surfaces to store programmable interfacial energy, hybrid systems enable flexible yet low‐power liquid transport, with perspectives ...
Jiaqi Miao, Yiyuan Zhang, Liqiu Wang, Alan C. H. Tsang   +3 more
wiley   +1 more source

On the norms and Hadamard product of Toeplitz matrices involving Leonardo numbers [PDF]

Mathematica Moravica
In this study, we consider the Toeplitz matrices with entries being Leonardo numbers. We have found upper and lower bounds for the spectral norms of these matrices, considering also the Hadamard product of this type of matrix.
Catarino Paula, Borges Anabela, Vasco Paulo, Spreafico Elen, Costa Eudes   +4 more
doaj   +1 more source

Nonlocomotory Robotic Strategies for Dynamic Rotation Control in Terrestrial Robots: A Review

Advanced Robotics Research, EarlyView.
Terrestrial robots increasingly require rapid body rotation to maintain stability and agility in complex environments. This review shows nonlocomotory rotational control strategies that operate without ground contact, including reaction wheels, tails, bars, limbs, and thrusters.
Y. Liang, J. An, X. Zheng, D. Wang, S. Wang, X. Wang, P. Zhu, J. Pei, S. Li, J. Paripurana, Y. Han, Z. Tang, X. Gan, Q. He, X. Ma   +14 more
wiley   +1 more source

A note on a bivariate Leonardo sequence [PDF]

Notes on Number Theory and Discrete Mathematics
Recently, quite a few generalizations of Leonardo numbers have emerged in the literature. In this short note, we propose a new bivariate extension and provide its generating function.
Carlos M. da Fonseca, Anthony G. Shannon
doaj   +1 more source

Brain‐Computer Interface Training Fosters Perceptual Skills to Detect Errors

Advanced Science, EarlyView.
Accurate perception of visuomotor errors underpins motor precision and learning, yet conventional behavioral training fails to improve sensitivity to subtle errors. Real‐time EEG‐based brain‐computer interface feedback targeting the error positivity component enhances perceptual learning of small errors.
Deland H. Liu, Fumiaki Iwane, Minsu Zhang, Leonardo G. Cohen, José del R. Millán   +4 more
wiley   +1 more source