Results 61 to 70 of about 2,231,198 (301)
Laser‐Induced Local De‐Doping in Organic Semiconductors
Advanced Materials Technologies, EarlyView.The polymer PBTTT‐C14 doped with the small molecule acceptor F4TCNQ is considered as a benchmark material system. Mask‐free, microscale patterning of the doping level via laser‐induced heating and sublimation of dopant molecules is shown. Controlling laser irradiance and swath spacing allows dopant level control with laser‐limited resolution, opening ...
Christian Rainer +5 more
wiley +1 more source
On the emergence of the Quanta Prime sequence
Arab Journal of Basic and Applied SciencesThis paper presents the Quanta Prime Sequence (QPS) and its foundational theorem, showcasing a unique class of polynomials with substantial implications.
Moustafa Ibrahim
doaj +1 more source
Some new identities for the sum of generalized Fibonacci numbers and generalized Lucas numbers [PDF]
Mathematica MoravicaLet UN and Vn denote the n-th generalized Fibonacci and generalized Lucas numbers, respectively. In this paper, we calculate the n-th powers of some square matrices by diagonalizing them with their eigenvalues and eigenvectors.
Lıman Gülsüm +2 more
doaj +1 more source
Geometric Aspects of Lucas Sequences, I
Tokyo Journal of Mathematics, 2020 From the text: ``We present a way of viewing Lucas sequences in the framework of group scheme theory. This enables us to treat the Lucas sequences from a geometric and functorial viewpoint, which was suggested by \textit{R. R. Laxton} [Duke Math. J. 36, 721--736 (1969; Zbl 0226.10010)] ] and by \textit{M. Aoki} and \textit{Y. Sakai} [Rocky Mt. J. Math.
openaire +5 more sources
The eccentricity sequences of Fibonacci and Lucas cubes
Discrete Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Castro Trejo, Aline, Mollard, Michel
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On the Lucas property of linear recurrent sequences [PDF]
International Journal of Number Theory, 2016 Let [Formula: see text] be an arithmetic function. [Formula: see text] has Lucas property if for any prime [Formula: see text] and [Formula: see text], where [Formula: see text], [Formula: see text] In this paper, we discuss the Lucas property of Fibonacci sequences and Lucas numbers. Meanwhile, we find some other interesting results.
Zhong, Hao, Cai, Tianxin
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Advanced Robotics Research, EarlyView.Visual teach‐and‐repeat (VTR) navigation allows robots to learn and follow routes without building a full metric map. We show that navigation accuracy for VTR can be improved by integrating a topological map with error‐drift correction based on stereo vision.
Fuhai Ling, Ze Huang, Tony J. Prescott
wiley +1 more source
Pell–Lucas diffractive lenses for trifocal multi-trap optical tweezers
JPhys PhotonicsIn this work, we introduce a new family of trifocal diffractive lenses based on the Pell–Lucas number sequence. Two phase configurations are considered: binary-phase and kinoform-type.
Arlen B Pérez-Hernández +5 more
doaj +1 more source
Shifted powers in Lucas–Lehmer sequences [PDF]
Research in Number Theory, 2019 We develop a general framework for finding all perfect powers in sequences derived by shifting non-degenerate quadratic Lucas-Lehmer binary recurrence sequences by a fixed integer. By combining this setup with bounds for linear forms in logarithms and results based upon the modularity of elliptic curves defined over totally real fields, we are able to ...
Bennett, Michael A. +2 more
openaire +4 more sources
Amphibious Movement of Microrobots Inspired by Water Spiders
Advanced Science, EarlyView.Inspired by the water strider, a novel microrobot is designed to maintain amphibious mobility in complex environments. It retains the ability to traverse the air‐liquid interface and perform directional movement within sophisticated, multifaceted environments, including complex gastric wall structures, with precise controllability.
Xiao Hu +7 more
wiley +1 more source