Results 41 to 50 of about 165,995,511 (248)
IEEE Open Journal of the Communications SocietyThis paper investigates nested lattice codes generated through Construction A from the ring of integers of an imaginary quadratic field. Our primary goal is to offer a streamlined proof of the existence of nested lattice codes that can attain the ...
Maryam Sadeghi +4 more
doaj +1 more source
, 2022 Skup Gaussovih cijelih brojeva označavamo sa \(\mathbb{Z}[i]=\{a+bi:a,b\in\}\) i on čini komutativni prsten s jedinicom s obzirom na zbrajanje i množenje kompleksnih brojeva.
Novotny, Martina
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Large‐Area Flat Optics Color Routing in Tilted Arrays of 2D Semiconductor Nanostripes
Advanced Optical Materials, EarlyView.We develop a scalable flat optics platform exploiting self‐organised ion‐beam sputtering and maskless glancing‐angle deposition to fabricate centimetre‐scale arrays of tilted MoS2 nanostripes. The engineered geometry activates Rayleigh anomalies, guided modes, and Mie resonances, enabling highly directional color routing and enhanced light harvesting ...
Simone Di Marco +7 more
wiley +1 more source
Projective modules of group rings over quadratic number fields [PDF]
, 1994 Let K be a quadratic number field, Ok its ring of integers, and G a cyclic group of order prime p. In this thesis, we study the kernel group D(O(_K)G) and obtain a number of results concerning its order and structure. For K imaginary, we also investigate
Ahmed, Iftikhar
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Extrinsic Limitations of Stealthy Hyperuniform Devices
Advanced Optical Materials, EarlyView.Stealthy hyperuniform devices exhibit a scattering‐free angular region whose extent follows a simple quenching equation. Experimental measurements confirm this prediction but reveal quenching efficiencies far below theoretical expectations. Multiple scattering and finite‐size effects are quantified, establishing realistic performance limits for ...
Yuhao Xu +5 more
wiley +1 more source
On the Line Graph of the Zero Divisor Graph for the Ring of Gaussian Integers Modulo
International Journal of Combinatorics, 2012 Let Γ(ℤn[i]) be the zero divisor graph for the ring of the Gaussian integers modulo n. Several properties of the line graph of Γ(ℤn[i]), L(Γ(ℤn[i])) are studied. It is determined when L(Γ(ℤn[i])) is Eulerian, Hamiltonian, or planer. The girth, the diameter, the radius, and the chromatic and clique numbers of this graph are found.
Nazzal, Khalida, Ghanem, Manal
openaire +1 more source
A ring of Gaussian integers and applications
, 2020 Prsten Gaussovih cijelih brojeva \(\mathbb{Z} [i]\)generalizacija je prstena cijelih brojeva \(\mathbb{Z}\). Kao takvi, Gaussovi cijeli brojevi zadržali su većinu svojstava cijelih brojeva.
Novak, Iva
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Data‐Driven Bulldozer Blade Control for Autonomous Terrain Leveling
Advanced Robotics Research, EarlyView.A simulation‐driven framework for autonomous bulldozer leveling is presented, combining high‐fidelity terramechanics simulation with a neural‐network‐based reduced‐order model. Gradient‐based optimization enables efficient, low‐level blade control that balances leveling quality and operation time.
Harry Zhang +5 more
wiley +1 more source
Consensus Formation and Change are Enhanced by Neutrality
Advanced Science, EarlyView.Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag +3 more
wiley +1 more source
, 2020 In this article we give various formulates for compute the number of all coninvolutions over the group of upper triangular matrix with entries into the ring of Gaussian integers module $p$ and the ring of Quaternions integers module $p$, with $p$ an odd prime number.
Gargate, Ivan, Gargate, Michael
openaire +2 more sources