Results 81 to 90 of about 1,894,941 (290)
Advanced Materials Interfaces, EarlyView.Thin SiGe buffer layers are grown by oxidative solid‐phase epitaxy, resulting in a nanopatterning of varying Ge concentration across the surface of the sample. The nanopatterning is caused by a hexagonal network of dislocations on the SiGe/Si(111) interface, and is visible by scanning electron microscopy, providing a non‐destructive method for ...
Sophie E. Bierer +7 more
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Solution of polynomial Lyapunov and Sylvester equations
, 2006 A two-variable polynomial approach to solve the one-variable polynomial Lyapunov and Sylvester equations is proposed. Lifting the problem from the one-variable to the two-variable context gives rise to associated lifted equations which live on finite ...
Peeters, Ralf, Rapisarda, Paolo
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Advanced Materials Interfaces, EarlyView.UV–vis fluorescence spectroscopy enables sensitive monitoring of plant protein adsorption on AISI 316L stainless steel under food‐processing‐relevant conditions. Spectral deconvolution reveals adsorption‐induced changes associated with protein–surface interactions and conformational alterations, demonstrating the potential of the technique for ...
Alexander Khort +6 more
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Generalized Chebyshev Polynomials
Discussiones Mathematicae - General Algebra and Applications, 2018 Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a ℚ-vectorial subspace En(x) of ℚ[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
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Polynomials with constant Hessian determinant
Journal of Pure and Applied Algebra, 1991 The author proves the Jacobian conjecture for polynomial mappings \(F:\mathbb{C}^ 2\to\mathbb{C}^ 2\) with symmetric Jacobian matrix. He uses the fact that, in this case, there exists a polynomial \(P:\mathbb{C}^ 2\to\mathbb{C}\) such that \(F=\text{grad}(P)\) (then \(P\) has constant Hessian determinant), and next, he gives the explicit form of such \(
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Fourier restriction to polynomial curves I: a geometric inequality [PDF]
, 2010 We prove a Fourier restriction result for general polynomial curves in Rd. Measuring the Fourier restriction with respect to the affine arclength measure of the curve, we obtain a universal estimate for the class of all polynomial curves of bounded ...
Wright, James +5 more
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Polynomial Optimization, Certificates of Positivity, and Christoffel Function
, 2023 International audienceWe briefly recall basics of the Moment-SOS hierarchy in polynomial optimization and the Christoffel-Darboux kernel (and the Christoffel function (CF)) in theory of approximation and orthogonal polynomials.
Lasserre, Jean-Bernard
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Laser‐Induced Local De‐Doping in Organic Semiconductors
Advanced Materials Technologies, EarlyView.The polymer PBTTT‐C14 doped with the small molecule acceptor F4TCNQ is considered as a benchmark material system. Mask‐free, microscale patterning of the doping level via laser‐induced heating and sublimation of dopant molecules is shown. Controlling laser irradiance and swath spacing allows dopant level control with laser‐limited resolution, opening ...
Christian Rainer +5 more
wiley +1 more source
Work-Efficient Query Evaluation in Constant Time with PRAMs [PDF]
Logical Methods in Computer ScienceThe article studies query evaluation in parallel constant time in the CRCW PRAM model. While it is well-known that all relational algebra queries can be evaluated in constant time on an appropriate CRCW PRAM model, this article is interested in the ...
Jens Keppeler +2 more
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On the Bernstein Constants of Polynomial Approximation
Constructive Approximation, 2006 Assume \(\alpha >0\) is not an integer. In papers published in 1913 and 1938, S.~N.~Bernstein established the limit $$\Lambda _{\infty ,\alpha }^{\ast }=\lim_{n\rightarrow \infty }n^{\alpha}E_{n}[ \vert x\vert ^{\alpha };L_{\infty }[ {-}1,1]] .$$ Here \(E_{n}[ \vert x\vert ^{\alpha };L_{\infty }[ -1,1] ] \) denotes the error in best uniform ...
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