Results 71 to 80 of about 1,291,137 (334)
Sparse polynomial interpolation with Bernstein polynomials
TURKISH JOURNAL OF MATHEMATICS, 2021 Summary: We present an algorithm for interpolating an unknown univariate polynomial \(f\) that has a \(t\) sparse representation (\(t\ll\deg(f)\)) using Bernstein polynomials as term basis from \(2t\) evaluations. Our method is based on manipulating given black box polynomial for \(f\) so that we can make use of Prony's algorithm.
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A Positron Lifetime Study of Cooling and Natural Aging of Solutionized Aluminum Alloys
Advanced Engineering Materials, EarlyView.The process during cooling of Al–Mg and Al–Mg–Si alloys from the solutionizing temperature down to 20 °C is interrupted. These states are analyzed with positron lifetime spectroscopy to trace the processes during cooling. In different temperature ranges, two stages of vacancy loss and solute clustering are identified.
Zi Yang, Mengjie Li, John Banhart
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FAULHABER POLYNOMIALS AND RECIPROCAL BERNOULLI POLYNOMIALS
Rocky Mountain Journal of Mathematics, 2023 36 pages, 9 tables, 1 figure, final revised ...
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Advanced Functional Materials, EarlyView.PBTTT‐OR‐R, a C14‐alkoxy/alkyl‐PBTTT polymer derivative, is of substantial interest for optoelectronics due to its specific fullerene intercalation behavior and enhanced charge‐transfer absorption. Comparing this polymer with (S) and without (O) homocoupling defects reveals that PBTTT‐OR‐R(O) forms stable co‐crystals with PC61BM, while PBTTT‐OR‐R(S ...
Zhen Liu +14 more
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Synchrotron Radiation for Quantum Technology
Advanced Functional Materials, EarlyView.Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader +10 more
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Image inpainting-based behavior image secret sharing
Mathematical Biosciences and Engineering, 2020 The polynomial-based image secret sharing (ISS) scheme encodes a secret image into n shadows assigned to n participants. The secret image with high resolution is decoded by Lagrange interpolation when collecting any k or more shadows.
Xuehu Yan +4 more
doaj +1 more source
The colored Jones polynomial and the A-polynomial of Knots
Advances in Mathematics, 2006 We study relationships between the colored Jones polynomial and the A-polynomial of a knot. We establish for a large class of 2-bridge knots the AJ conjecture (of Garoufalidis) that relates the colored Jones polynomial and the A-polynomial. Along the way we also calculate the Kauffman bracket skein module of all 2-bridge knots.
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On Polynomial Values of the Discriminants of Characteristic Polynomials
Journal of Number Theory, 1996 For a square matrix \(A\), denote by \({\mathcal D} (A)\) the discriminant of its monic characteristic polynomial. Under some necessary conditions imposed on \(A\) and \(f\), \textit{J. G. Grytczuk} [Discuss. Math. 12, 45-51 (1992; Zbl 0787.11004)] showed that if \(A\) is a \(2\times 2\)-matrix with entries in \({\mathbb{Z}}\) and if \(f(X)\) is a ...
Brindza, B, Pintér, Á, Végső, J
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Practical polynomial factoring in polynomial time [PDF]
Proceedings of the 36th international symposium on Symbolic and algebraic computation, 2011 State of the art factoring in Q[x] is dominated in theory by a combinatorial reconstruction problem while, excluding some rare polynomials, performance tends to be dominated by Hensel lifting. We present an algorithm which gives a practical improvement (less Hensel lifting) for these more common polynomials.
Hart, William +2 more
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Advanced Functional Materials, EarlyView.AI is transforming the research paradigm of battery materials and reshaping the entire landscape of battery technology. This comprehensive review summarizes the cutting‐edge applications of AI in the advancement of battery materials, underscores the critical challenges faced in harnessing the full potential of AI, and proposes strategic guidance for ...
Qingyun Hu +5 more
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