Results 21 to 30 of about 19,451 (267)
Rational approximation on spheres [PDF]
Israel Journal of Mathematics, 2015 We quantify the density of rational points in the unit sphere $S^n$, proving analogues of the classical theorems on the embedding of $\q^n$ into $\r^n$. Specifically, we prove a Dirichlet theorem stating that every point $α\in S^n$ is sufficiently approximable, the optimality of this approximation via the existence of badly approximable points, and a ...
Kleinbock, Dmitry, Merrill, Keith
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Yantu gongcheng xuebao, 2021 The discrete-time rational approximation function is one of the important methods for establishing dynamic analysis model for foundations. The stability and accuracy of the rational function determine those of dynamic time history analysis.
WANG Zhi-yu 1, TANG Zhen-yun 1, 2, DU Xiu-li 1
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Rational approximations to the dilogarithm [PDF]
Transactions of the American Mathematical Society, 1993 The irrationality proof of the values of the dilogarithmic function L 2
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Multivariate Rational Approximation
CoRR, 2019 We present two approaches for computing rational approximations to multivariate functions, motivated by their effectiveness as surrogate models for high-energy physics (HEP) applications. Our first approach builds on the Stieltjes process to efficiently and robustly compute the coefficients of the rational approximation. Our second approach is based on
Anthony P. Austin +5 more
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Addendum to “Rational Approximation”
Advances in Mathematics, 1977 Let \(f(z)=\sum_{k=0}^{\infty}a_kz^k,a_0> 0,a_k\geq 0(k\geq 1)\) be an entire function such that \(l< \lim\sup_{r\to\infty}\frac{\log\log M(r)}{\log\log r}=\rho+1< \infty\) and \(\lim\sup_{r\to\infty}(\inf)\quad(\log r)^{-\rho-1}\log M(r)=\alpha(\beta)\) where \(M(r)=\max_{\|z\|=r}\|f(z)\|\). The authors in Adv. Math.
Erdös, Paul, Reddy, A.R
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On the rational approximation to Thue–Morse rational numbers
Rendiconti del Seminario Matematico della Università di Padova, 2023 Let b \ge 2 and \ell \ge 1 be integers. We establish that there is an absolute real number K
Bugeaud, Yann, Han, Guo-Niu
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Rational Approximation on Exponential Meshes [PDF]
Symmetry, 2020 Error estimates of pointwise approximation, that are not possible by polynomials, are obtained by simple rational operators based on exponential-type meshes, improving previous results. Rational curves deduced from such operators are analyzed by Discrete Fourier Transform and a CAGD modeling technique for Shepard-type curves by truncated DFT and the ...
Umberto Amato, Biancamaria Della Vecchia
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On rational approximation to | x |
Studia Scientiarum Mathematicarum Hungarica, 1998 Let \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $
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APPROXIMATION BY SEVERAL RATIONALS [PDF]
Bulletin of the Australian Mathematical Society, 2008 AbstractFollowing T. H. Chan, we consider the problem of approximation of a given rational fraction a/q by sums of several rational fractions a1/q1,…,an/qn with smaller denominators. We show that in the special cases of n=3 and n=4 and certain admissible ranges for the denominators q1,…,qn, one can improve a result of T. H.
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FEBS Letters, EarlyView.An unexpected alternative interaction site for ethyl viologen was identified in formate dehydrogenase 1 from Methylorubrum extorquens. Combined mutagenesis, kinetic analysis, and docking revealed that aromatic residues near an iron–sulfur cluster enable flavin mononucleotide‐independent electron transfer, offering a framework for engineering improved ...
Eleni G. Poloniataki, Yong Hwan Kim
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