Results 71 to 80 of about 62,458 (328)
Constructions of Dense Lattices of Full Diversity
Trends in Computational and Applied Mathematics, 2020 A lattice construction using Z-submodules of rings of integers of number fields is presented. The construction yields rotated versions of the laminated lattices A_n for n = 2,3,4,5,6, which are the densest lattices in their respective dimensions.
A. A. Andrade +3 more
doaj +1 more source
A geometric approach to divergent points of higher dimensional Collatz mappings
, 2015 We define generalized Collatz mappings on free abelian groups of finite rank and study their iteration trajectories. Using geometric arguments we describe cones of points having a divergent trajectory and we deduce lower bounds for the density of the set
Kionke, Steffen
core +1 more source
Advanced Materials, EarlyView.This work introduces a multi‐state probabilistic computing system based on Potts‐model p‐bits using stochastic switching floating body metal oxide semiconductor field effect transistors (FB‐MOSFETs). By employing drain‐voltage sharing and one‐hot sampling, the system achieves controllable probabilistic behavior.
Sunwoo Cheong +9 more
wiley +1 more source
High‐Density Topological Defect Array by Two‐Step Interference Photoalignment
Advanced Materials, EarlyView.High density arrays of topological defects in nematic liquid crystal are realized by two‐step interference photoalignment, with a minimal distance of 1.25 micrometer and disclination lines connecting defects on opposing substrates. Such layers can be used as reconfigurable templates for photonic devices to achieve large angle diffraction, beam shaping ...
Sunqian Liu, Inge Nys, Kristiaan Neyts
wiley +1 more source
Algorithmic search for integer Abelian roots of a polynomial with integer Abelian coefficients [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаIn this work, we consider the operations over Abelian integers of rank $n$. By definition, such numbers are elements of the complex field and have the form of polynomials with integer coefficients from the $n$th degree primitive root of 1.
Tsybulya, Liliya Mikhailovna
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Multiple recurrence and popular differences for polynomial patterns in rings of integers [PDF]
, 2021 Ethan Ackelsberg, Vitaly Bergelson
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Distributed Bragg Reflector Based on Plasmonic Ag: Plasma Polymer Nanocomposites
Advanced Optical Materials, EarlyView.This paper presents a comprehensive approach for the optical design and validation of silver nanocomposite‐based Distributed Bragg Reflectors (DBRs). It describes deriving material properties (n, k) and using them to predict the performance of the deposited optical stack, as well as to characterize imperfections in the DBR deposition, or even to ...
Zdeněk Krtouš +7 more
wiley +1 more source
On Generalized Periodic-Like Rings
International Journal of Mathematics and Mathematical Sciences, 2007 Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R generalized periodic-like if for all x∈R∖(N∪J∪Z) there exist positive integers m, n of opposite parity for which xm−xn∈N∩Z.
Howard E. Bell, Adil Yaqub
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On the structure of even $K$-groups of rings of algebraic integers [PDF]
, 2022 Meng Fai Lim
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Another Prüfer Ring of Integer-Valued Polynomials
Journal of Algebra, 1997 Let \(D\) be an integral domain with quotient field \(K\) and let \(\text{ Int}(D) = \{f \in K [x] \mid f(D) \subseteq D\}\). If \(D\) is Dedekind and all its residue fields are finite then \(\text{ Int}(D)\) is Prüfer while if \(\text{ Int}(D)\) is Prüfer then \(D\) is almost Dedekind (i.e.
openaire +1 more source