Results 21 to 30 of about 80,472 (232)
Experimental Mathematics, 1994 The title refers to the fact, noted by Chebyshev in 1853, that primes congruent to 3 modulo 4 seem to predominate over those congruent to 1. We study this phenomenon and its generalizations. Assuming the Generalized Riemann Hypothesis and the Grand Simplicity Hypothesis (about the zeros of the Dirichlet L-function), we can characterize exactly those ...
Rubinstein, Michael, Sarnak, Peter
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ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES
Forum of Mathematics, Pi, 2020 A meander is a topological configuration of a line and a simple closed curve in the plane (or a pair of simple closed curves on the 2-sphere) intersecting transversally. Meanders can be traced back to H.
VINCENT DELECROIX +3 more
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Chebyshev model arithmetic for factorable functions [PDF]
, 2016 This article presents an arithmetic for the computation of Chebyshev models for factorable functions and an analysis of their convergence properties. Similar to Taylor models, Chebyshev models consist of a pair of a multivariate polynomial approximating ...
Chachuat, B +3 more
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Formalized Mathematics, 2016 Summary In [21], Marco Riccardi formalized that ℝN-basis n is a basis (in the algebraic sense defined in [26]) of ℰ T
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A fast, simple, and stable Chebyshev-Legendre transform using an asymptotic formula [PDF]
, 2013 A fast, simple, and numerically stable transform for converting between Legendre and Chebyshev coefficients of a degree $N$ polynomial in $O(N(\log N)^{2}/ \log \log N)$ operations is derived.
Hale, Nicholas, Townsend, Alex
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Spectral functions and time evolution from the Chebyshev recursion [PDF]
, 2015 We link linear prediction of Chebyshev and Fourier expansions to analytic continuation. We push the resolution in the Chebyshev-based computation of $T=0$ many-body spectral functions to a much higher precision by deriving a modified Chebyshev series ...
Justiniano, Jorge A. +3 more
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On Chebyshev-type quadratures [PDF]
Mathematics of Computation, 1974 According to a result of S. N. Bernstein, n-point Chebyshev quadrature formulas, with all nodes real, do not exist when n = 8 n = 8 or n ≧ 10 n \geqq 10 . Modifications of such quadrature formulas have recently been suggested by R. E. Barnhill, J. E. Dennis, Jr. and G. M.
Gautschi, Walter, Yanagiwara, Hiroki
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Chebyshev series: Derivation and evaluation
PLoS ONE, 2023 In this paper we use a contour integral method to derive a bilateral generating function in the form of a double series involving Chebyshev polynomials expressed in terms of the incomplete gamma function. Generating functions for the Chebyshev polynomial
Robert Reynolds, Allan Stauffer
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Quantifying non-monotonicity of functions and the lack of positivity in signed measures
Modern Stochastics: Theory and Applications, 2017 In various research areas related to decision making, problems and their solutions frequently rely on certain functions being monotonic. In the case of non-monotonic functions, one would then wish to quantify their lack of monotonicity.
Youri Davydov, Ričardas Zitikis
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A Comparison of Papoulis and Chebyshev Filters in the Continuous Time Domain [PDF]
Radioengineering, 2021 The subject of this paper is the revisit of the Chebyshev (equiripple) and Papoulis (monotonic or staircase) low-pass filter in order to compare. It can be stated the fair comparison of Papoulis and Chebyshev filters cannot be found in the available ...
N. Stamenkovic +3 more
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