Results 71 to 80 of about 67,597,676 (252)
Estimation of exponential sums of polynomials of higher degrees II [PDF]
Acta Arithmetica, 2000 The author establishes new bounds for exponential sums of the type \[ S_k(q,b,c)= \sum_{x\bmod q} e\biggl( \frac{bx+cx^k}{q} \biggr) \] (Theorems 1, 2), and for hyper-Kloosterman sums (Theorem 4). Proofs are based on certain identities between \(S_k(q,b,c)\) and hyper-Kloosterman sums (Theorem 3). Part I, cf. ibid. 86, 255-267 (1998; Zbl 0923.11117).
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Advanced Engineering Materials, EarlyView.This study applies machine learning regression to predict chromium layer thickness in decorative trivalent chromium electroplating, using 441 experiments from laboratory‐scale (1L) and pilot‐scale (14L) setups. Tree‐based models, particularly CatBoost, outperformed linear regression by capturing nonlinear parameter interactions (R2$R^2$ up to 0.77 ...
Christoph Baumer +4 more
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Advanced Engineering Materials, EarlyView.Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt +5 more
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T-adic exponential sums over finite fields [PDF]
, 2009 We introduce T-adic exponential sums associated to a Laurent polynomial f. They interpolate all classical pm-power order exponential sums associated to f. We establish the Hodge bound for the Newton polygon of L-functions of T-adic exponential sums. This
Wan, Daqing, Liu, Chunlei
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Adaptive Foam 3D Printing of Ultralight and Multifunctional Materials
Advanced Engineering Materials, EarlyView.Adaptive foam 3D printing, enabled by expandable microspheres, imparts cellular structures to thermoplastic and thermosetting polymers, manufactured through a variety of processes including fused filament fabrication, direct ink writing, digital light processing, and inkjet printing.
Nariman Rajabifar, Amir Ameli
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Advanced Engineering Materials, EarlyView.Sustainability assessment requires methodologies that appropriately distinguish between additive and non‐additive material properties. A toxicity‐weighted scoring system is developed and applied that accounts for the disproportionate influence of highly toxic constituents through nonlinear weighting functions, providing more realistic estimates than ...
Seth Mehalic +2 more
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Translation invariance, exponential sums, and Waring's problem [PDF]
, 2014 We describe mean value estimates for exponential sums of degree exceeding 2 that approach those conjectured to be best possible. The vehicle for this recent progress is the efficient congruencing method, which iteratively exploits the translation ...
Wooley, Trevor D. +2 more
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Explicit Estimates for Incomplete Exponential Sums
Summary: We obtain explicit estimates for the incomplete exponential sum \[ S_p(f, B) := \sum_{x = 1}^B e_p(f(x)), \] where \(e_p(u) = \mathrm{e}^{2\pi iu/p}\), \(f(x)\) is a polynomial over \(\mathbb{Z}/(p)\), and \(1 \leq B \leq p\), such as the following. For any \(f\) of degree at least 2, \[ |S_p(f, B)| \leq \min\left\{\frac{2}{\pi}\log p + 3.29 +
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Parameter estimation of monomial-exponential sums
, 2013 13 pages, 2 figures - submitted -
FERMO, LUISA +2 more
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Entropy‐Driven Design of Low‐Melting‐Point Alloys via Compositionally Complex Strategy
Advanced Engineering Materials, EarlyView.Conventional low‐melting‐point alloys (LMPAs) are limited by a narrow compositional space and inherent property trade‐offs. This review presents an entropy‐driven design strategy that overcomes these limitations, ushering in a new class of low‐melting‐point compositionally complex alloys (LMCCAs).
Yinghui Shang +6 more
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