Results 71 to 80 of about 165,977,654 (290)
The results of the paper relate to the following general problem. Find natural finite generating sets of elements of a given linear group over a finitely generated commutative ring.
Ya.N. Nuzhin, T. B. Shaipova
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Constructions of Dense Lattices of Full Diversity
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
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Programmable Functional Silicification of DNA Origami Nanostructures
This work introduces additional functionality into silica‐coated DNA origami nanostructures using non‐standard silica precursors. A fluorescent precursor enables enhanced intracellular tracking, while a disulfide‐containing reagent yields redox‐responsive, degradable silica coatings.
Anna V. Baptist +4 more
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Additive number theory and the ring of quantum integers [PDF]
LaTex.
openaire +3 more sources
Laser‐Induced Local De‐Doping in Organic Semiconductors
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 Generalized Periodic-Like Rings
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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Algorithmic search for integer Abelian roots of a polynomial with integer Abelian coefficients [PDF]
In 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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Large‐Area Flat Optics Color Routing in Tilted Arrays of 2D Semiconductor Nanostripes
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
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Extrinsic Limitations of Stealthy Hyperuniform Devices
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
Graphs Induced by W-Regular Rings With Application to Zpn
A ring R is called W-regular if for any non-nilpotent element a of R, there exists an element b of R such that a=aba. This ring is generalized to a regular ring and is a special type of π-regular ring; therefore, some results on rings that are regular ...
Mostafa Amer Khattab +2 more
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