Results 61 to 70 of about 12,115,560 (297)
Advanced Science, EarlyView.This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong +7 more
wiley +1 more source
Further study on permutation polynomials over finite fields
四川大学学报. 自然科学版, 2019 Permutation polynomials over finite fields becomes an interesting subject. To constructing new classes permutation polynomials is an open problem raised by Lidl and Mullen in 1988.
QIN Xiao-Er, YAN Li
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Evaluation of Some Sums of Polynomials in Fq[t]
Journal of Applied Mathematics, 2019 We prove the polynomial analogues of some Liouville identities from elementary number theory. Consequently several sums defined over the finite fields Fq[t] are evaluated by combining the results obtained and some of the results from sums of reciprocals ...
Adama Diene
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Factoring polynomials over large finite fields [PDF]
Mathematics of Computation, 1970 This paper reviews some of the known algorithms for factoring polynomials over finite fields and presents a new deterministic procedure for reducing the problem of factoring an arbitrary polynomial over the Galois field
openaire +1 more source
Phase Diagrams and Piezoelectric Properties of Wurtzite Al1−x−yScxGdyN Heterostructural Alloys
Advanced Science, EarlyView.This study demonstrates ferroelectricity and piezoelectric properties improvement of quaternary wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films, guided by density functional theory calculations. Wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films have a high optical bandgap, enhanced piezoelectric ...
Julia L. Martin +11 more
wiley +1 more source
Hardware acceleration of number theoretic transform for zk‐SNARK
Engineering Reports, EarlyView., 2023 An FPGA‐based hardware accelerator with a multi‐level pipeline is designed to support the large‐bitwidth and large‐scale NTT tasks in zk‐SNARK. It can be flexibly scaled to different scales of FPGAs and has been equipped in the heterogeneous acceleration system with the help of HLS and OpenCL.
Haixu Zhao +6 more
wiley +1 more source
On flux integrals for generalized Melvin solution related to simple finite-dimensional Lie algebra
European Physical Journal C: Particles and Fields, 2017 A generalized Melvin solution for an arbitrary simple finite-dimensional Lie algebra $$\mathcal G$$ G is considered. The solution contains a metric, n Abelian 2-forms and n scalar fields, where n is the rank of $$\mathcal G$$ G .
V. D. Ivashchuk
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Real-World Applications of a Newly Designed Root-Finding Algorithm and Its Polynomiography
IEEE Access, 2021 Solving non-linear equations in different scientific disciplines is one of the most important and frequently appearing problems. A variety of real-world problems in different scientific fields can be modeled via non-linear equations. Iterative algorithms
Amir Naseem +2 more
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Interacting Parallel Fluidic Hysterons
Advanced Science, EarlyView.The parallel coupling of fluidic hysterons is introduced, establishing advanced functionalities in inflatable soft systems. A pressure–volume framework reveals how preset volumes Δv∗${\Delta }v^*$ tune nonlinear interactions between hysterons and actuation sequences without changing architecture. Experiments validate the predictions, opening new routes
Katrien Stinissen +2 more
wiley +1 more source
On the Irreducibility of Some Composite Polynomials
Journal of Mathematical Extension, 2012 . In this paper we study the irreducibility of some composite polynomials, constructed by a polynomial composition method over finite fields. Finally, a recurrent method for constructing families of irreducible polynomials of higher degree from given ...
M. Alizadeh
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