Results 81 to 90 of about 176,423 (294)
Crooked Maps in Finite Fields [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 We consider the maps $f:\mathbb{F}_{2^n} →\mathbb{F}_{2^n}$ with the property that the set $\{ f(x+a)+ f(x): x ∈F_{2^n}\}$ is a hyperplane or a complement of hyperplane for every $a ∈\mathbb{F}_{2^n}^*$. The main goal of the talk is to show that almost all maps $f(x) = Σ_{b ∈B}c_b(x+b)^d$, where $B ⊂\mathbb{F}_{2^n}$ and $Σ_{b ∈B}c_b ≠0$, are not of ...
openaire +5 more sources
Advanced Engineering Materials, EarlyView.This study explores the effects of pixel size and spacing when fabricating electroluminescent (EL) multipixel displays. COMSOL simulations identify the impact of pixel dimensions and spacing on electric field distribution and lighting efficiency. Flexible, high‐resolution EL pixel arrays are reverse offset printed, achieving a 96% reduction in pixel ...
Huanghao Dai +3 more
wiley +1 more source
Ranked solutions of the matric equation A1X1=A2X2
International Journal of Mathematics and Mathematical Sciences, 1980 Let GF(pz) denote the finite field of pz elements. Let A1 be s×m of rank r1 and A2 be s×n of rank r2 with elements from GF(pz). In this paper, formulas are given for finding the number of X1,X2 over GF(pz) which satisfy the matric equation A1X1=A2X2 ...
A. Duane Porter, Nick Mousouris
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Lower bounds on the orders of subgroups connected with Agrawal conjecture
Karpatsʹkì Matematičnì Publìkacìï, 2013 Explicit lower bounds are obtained on the multiplicative orders of subgroups of a finite field connected with primality proving algorithm.
R. Popovych
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Advanced Engineering Materials, EarlyView.Fe–12Mn–0.2C medium‐manganese steel is processed by laser‐based powder bed fusion of metals using blended as well as pre‐alloyed powder. Various scanning speeds are used to determine the influence of energy deposition rate on microstructure and mechanical properties.
Leoni Hübner +4 more
wiley +1 more source
On fundamental sets over a finite field
International Journal of Mathematics and Mathematical Sciences, 1985 A partition over finite field is defined and each equivalence class is constructed and represented by a set called the fundamental set. If a primitive element is used to construct the addition table over these fundamental sets then all additions over the
Yousef Abbas, Joseph J. Liang
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Advanced Functional Materials, EarlyView.Graded refractive index (GRI) structures are prepared from the layer‐by‐layer spray coating of the mesoporous SiO2 nanoparticles, showing high solar transparency and thermal emissivity. Under outdoor conditions, after 50 days, the GRI‐coated photovoltaics show on average 6.65 ± 1.48 °C lower than that of the non‐coated references, maintaining 80.9 ± 8 ...
Heesuk Jung +14 more
wiley +1 more source
On the group defined for any given field by the multiplication table of any given finite group [PDF]
, 1902 L. E. Dickson
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Advanced Functional Materials, EarlyView.In this study, the interplay of dipolar dynamics and ionic charge transport in MOF compounds is investigated. Synthesizing the novel structure CFA‐25 with integrated freely rotating dipolar groups, local and macroscopic effects, including interactions with Cs cations are explored.
Ralph Freund +6 more
wiley +1 more source
Revisiting linearly extended discrete functions
Journal of Mathematical CryptologyThe authors introduced a new family of cryptographic schemes in a previous research article, which includes many practical encryption schemes, such as the Feistel family. Given a finite field of order qq, any n>m≥0n\gt m\ge 0, the authors described a new
Gravel Claude, Panario Daniel
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