Results 61 to 70 of about 78,268 (260)

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

Interface‐Mediated Catalysis for Improved Hydrogen Storage in Reactive Hydride Composites

Advanced Materials, EarlyView.
Catalyst–hydride interfaces are engineered in Co@C‐ and Ni@C‐modified 2LiH + MgB2 reactive hydride composites to accelerate hydrogen uptake and release. Multiscale scattering, in‐situ synchrotron radiation powder x‐ray diffraction and density functional theory calculations reveal the structural and electronic origin of the catalytic enhancement ...
Yuanyuan Shang, Pawan Kumar Soni, Han Ge, Weijie Yang, Fahim Karimi, Thi Thu Le, Tamás Simon, Michael Fröba, Jitendra Mata, Joshua King, Hai‐Wen Li, Thomas Klassen, Claudio Pistidda   +12 more
wiley   +1 more source

Some Identities and Generating Functions for Bidimensional Balancing and Cobalancing Sequences

Universal Journal of Mathematics and Applications
This article studies the bidimensional versions of four number sequences: balancing, Lucas-balancing, Lucas-cobalancing and cobalancing. Some of the identities and generating functions were presented.
María Victoria Otero Espinar, Paula Maria Machado Cruz Catarino, José Chimpanzo   +2 more
doaj   +1 more source

Chiral Phonon–Driven Ultrafast Spin Currents in a Non‐Magnetic Ferroelectric

Advanced Materials, EarlyView.
Broadband terahertz emission spectroscopy shows signatures of ultrafast spin‐current generation in non‐magnetic ferroelectric β$\beta$’‐In2Se3${\rm In}_2{\rm Se}_3$. Reversal of the emitted field upon sample inversion and substitution of Pt with W indicates spin‐Hall‐mediated charge conversion, while polarization‐resolved measurements reveal ...
Thomas B. Gill, Ahmet Yagmur, Matthew Rogers, Luke Benson, Nathan Fox, Ben Muggleton, Zabeada Aslam, Conor McCluskey, Phoenix Robinson, Oscar Cespedes, Bryan Hickey, Timothy Moorsom, Marty Gregg, Edmund H. Linfield, Sukhdeep Dhillon, Satoshi Sasaki, Joshua R. Freeman   +16 more
wiley   +1 more source

From the Discovery of the Giant Magnetocaloric Effect to the Development of High‐Power‐Density Systems

Advanced Materials Technologies, EarlyView.
The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz, Yaroslav Mudryk, Jun Cui, Lucas Griffith, Duane D. Johnson, Julie Slaughter   +5 more
wiley   +1 more source

Some properties of the generalized (p,q)- Fibonacci-Like number

MATEC Web of Conferences, 2018
For the real world problems, we use some knowledge for explain or solving them. For example, some mathematicians study the basic concept of the generalized Fibonacci sequence and Lucas sequence which are the (p,q) – Fibonacci sequence and the (p,q ...
Suvarnamani Alongkot
doaj   +1 more source

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, Aleksandr Perevedentsev, Daniel Ryklin, Rasmus R. Schröder, Gerardo Hernandez‐Sosa, Uli Lemmer   +5 more
wiley   +1 more source

Research on the Spinors of Jacobsthal and Jacobsthal–Lucas Hybrid Number Polynomials

Mathematics
By drawing on the concepts of Jacobsthal polynomials, Jacobsthal–Lucas polynomials, and hybrid numbers, this paper constructs, for the first time, a novel class of mathematical objects with recursive properties—namely, the sequences of Jacobsthal and ...
Yong Deng, Yanni Yang
doaj   +1 more source

Electrically Induced Photonic Assemblies of Faceted ZIF‐8 Crystals Exhibiting Binary Angle‐Dependent Structural Color and Metamerism

Advanced Optical Materials, EarlyView.
Electric fields drive dynamic photonic assemblies that reversibly generate structural color. By tuning nanoscale organization through controlled particle disorder, the presented system exhibits a unique binary color response, switching between blue and pink depending on viewing angle. Combined with metameric design, this allows for a two‐factor optical
Flora Schöfbeck, Tolga Zorlu, Michael R. Reithofer, Julian Lemmel, Daniel Hetey, Chao‐Chin Huang, Youven Benseghir, Yu‐Chueh Hung, Lucas V. Besteiro, Jia Min Chin   +9 more
wiley   +1 more source

Repdigits as Euler functions of Lucas numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
We prove some results about the structure of all Lucas numbers whose Euler function is a repdigit in base 10. For example, we show that if Ln is such a Lucas number, then n < 10111 is of the form p or p2, where p3 | 10p-1 -1.
Bravo Jhon J., Faye Bernadette, Luca Florian, Tall Amadou   +3 more
doaj   +1 more source