Results 111 to 120 of about 3,061,238 (284)
Advanced Science, EarlyView.In GdMn2O5, sublattice‐resolved EXAFS and diffraction analysis reveal pronounced spin‐phonon coupling and an unexpected opposing pressure response: the Mn‐driven Néel temperature slightly decreases while the Gd‐sublattice ordering temperature rises under pressures up to 0.86 GPa.
Romualdo S. Silva Jr. +9 more
wiley +1 more source
On the magnitude of the Gaussian integer solutions of the Legendre equation
Journal of Number Theory, 2014 Holzer proves that Legendre's equation $$ax^2+by^2+cz^2=0, $$ expressed in its normal form, when having a nontrivial solution in the integers, has a solution $(x,y,z)$ where $|x|\leq\sqrt{|bc|}, \quad |y|\leq\sqrt{|ac|}, \quad |z|\leq\sqrt{|ab|}.$ This paper proves a similar version of the theorem, for Legendre's equation with coefficients $a, b,c$ in ...
openaire +2 more sources
Advanced Science, EarlyView.A core‐shell ASA slurry additive constructs a mosaic‐like interface on high‐voltage NCM811 cathodes. This architecture decouples interfacial functions: the elastomeric core buffers mechanical stress to prevent microcracking, while the conductive shell facilitates rapid ion/electron transport, enabling mechanical‐electrical dual regulation and enhanced ...
Jiamin Duan +16 more
wiley +1 more source
Periodic solutions of arbitrary length in a simple integer iteration
Advances in Difference Equations, 2006 We prove that all solutions to the nonlinear second-order difference equation in integers yn+1 = ⌈ayn⌉-yn-1, {a ∈ ℝ:|a|<2, a≠0,±1}, y0, y1 ∈ ℤ, are periodic. The first-order system representation of this
Clark Dean
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Real And Gaussian Integer Solutions To
, 2018 The quadratic equation with four unknowns given by is analysed for its non-zero distinct integer solutions and Gaussian integer solutions. Different choices of solutions in real and Gaussian integers are obtained. A general formula for obtaining sequence of solutions (real and complex) based on its given solution is illustrated.
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Probabilistic Computing via Gate‐Tunable Random Telegraph Noise
Advanced Science, EarlyView.Intrinsic random telegraph noise in metal–oxide–semiconductor field‐effect transistors is harnessed to create gate‐tunable probabilistic bits. By modulating carrier‐trapping dynamics, the device produces stochastic binary outputs with a continuous bias‐to‐probability transfer.
Gyungwon Yun +8 more
wiley +1 more source
Advanced Science, EarlyView.KFO‐Atlas reveals how real‐world aromas are organized as structured mixtures rather than individual molecules. Building on these principles, KFO‐Gen, a generative AI framework, designs perceptually valid aroma formulations and reconstructs meat‐like aromas exclusively from plant‐derived odorants, providing a foundation for mixture‐level studies and AI ...
Jingzhi Zhang +5 more
wiley +1 more source
Generating subtour elimination constraints for the TSP from pure integer solutions. [PDF]
Cent Eur J Oper Res, 2017 Pferschy U, Staněk R.
europepmc +1 more source
Note on Integer-Valued Bilinear Time Series Models [PDF]
Summary. This note reconsiders the nonnegative integer-valued bilinear processes introduced by Doukhan, Latour, and Oraichi (2006). Using a hidden Markov argument, we extend their result of the existence of a stationary solution for the INBL(1,0,1,1 ...
Werker, B.J.M. +2 more
core
On the Integer Solutions of the Pell Equation x2 - dy2 = 2t
, 2007 Let k ≥ 1 and t ≥ 0 be two integers and let d = k2 + k be a positive non-square integer. In this paper, we consider the integer solutions of Pell equation x2 - dy2 = 2t.
Ahmet Tekcan, Betül Gezer, Osman Bizim
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