Results 91 to 100 of about 4,354 (265)
A lower estimate for exponential sums [PDF]
Bulletin of the American Mathematical Society, 1974 Berenstein, C. A., Dostal, M. A.
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From Shear to Sound: Mechanics–Acoustics Mapping of TPMS Lattices
Advanced Engineering Materials, EarlyView.Triply periodic minimal surface (TPMS) lattices are mapped across mechanical and acoustic performance, revealing that descriptors validated in compression fail under shear. First‐time comparison with trusses included. A transition from porous to resonance‐driven absorption emerges at 25% density.
Lucía Doyle +3 more
wiley +1 more source
On cubic polynomials I. Hua's estimate of exponential sums
Monatshefte für Mathematik, 1982 Hua andChen gave estimates of sums\(\sum\limits_{x = 1}^q {e(\mathfrak{F}(x))} \) wheree(z)=e2πiz and\(\mathfrak{F}\) is a polynomial of the typef(x)/q wheref(x)=akxk+...+a1x with integer coefficients having gcd (q, ak,...,a1)=1 But no good estimates hold for these sums whenq is small in comparison tok.
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Approximation by exponential sums revisited
, 2010 We revisit the efficient approximation of functions by sums of exponentials or Gaussians in Beylkin and Monzón (2005) [16] to discuss several new results and applications of these approximations.
Monzón, Lucas, Beylkin, Gregory
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Advanced Engineering Materials, EarlyView.This review highlights advances in lightweight, lead‐free polymer nanocomposites for diagnostic X‐ray shielding. By linking filler chemistry, dispersion, architecture, and photon interaction mechanisms, it establishes structure–performance relationships guiding material design.
Aklilu G. Messele +2 more
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On the divisor function in short intervals [PDF]
, 2011 Danilo Bazzanella, Bazzanella, Danilo
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Advanced Engineering Materials, EarlyView.A combined experimental–computational framework identifies energy‐dependent laser absorptivity for NiTi in laser powder‐bed fusion, applicable to conduction and transition modes. Single‐track experiments and thermofluid smoothed particle hydrodynamics simulations are coupled through inverse analysis of melt pool geometry.
Mohamadreza Afrasiabi +3 more
wiley +1 more source
On Distribution of Exponential Sums in Fields of Characteristic Two
, 2007 Distribution of the values of exponential sums in finite fields of characteristic two is considered. We derive upper bounds on the individual components of this distribution.
Simon Litsyn, Ilia Krasikov
core
Affine extractors over large fields with exponential error
, 2015 We describe a construction of explicit affine extractors over large finite fields with exponentially small error and linear output length. Our construction relies on a deep theorem of Deligne giving tight estimates for exponential sums over smooth ...
Bourgain, J, Leeman, E, Dvir, Zeev
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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
wiley +1 more source