Results 71 to 80 of about 41,706 (192)
Moderate Deviation Principles for Lacunary Trigonometric Sums
ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley +1 more source
The Approximate Solution of Fredholm Integral Equations with Oscillatory Trigonometric Kernels
A method for approximating the solution of weakly singular Fredholm integral equation of the second kind with highly oscillatory trigonometric kernel is presented.
Qinghua Wu
doaj +1 more source
ABSTRACT Yaw engineering models are commonly used as add‐ons to the industrial blade element momentum (BEM) framework to improve load and power predictions by accounting for the skewed wake effect. However, existing yaw engineering models show noticeable limitations in accurately predicting the induced velocity distribution across the blade span.
Haoyuan Sun, Andrea Sciacchitano, Wei Yu
wiley +1 more source
ON AN EXTREMAL PROBLEM FOR POLYNOMIALS WITH FIXED MEAN VALUE
Let \(T_n^+\) be the set of nonnegative trigonometric polynomials \(\tau_n\) of degree \(n\) that are strictly positive at zero. For \(0\le\alpha\le2\pi/(n+2),\) we find the minimum of the mean value of polynomial \((\cos\alpha-\cos{x})\tau_n(x)/\tau_n(0)
Alexander G. Babenko
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Bounding Multivariate Trigonometric Polynomials
The extremal values of multivariate trigonometric polynomials are of interest in fields ranging from control theory to filter design, but finding the extremal values of such a polynomial is generally NP-Hard. In this paper, we develop simple and efficiently computable estimates of the extremal values of a multivariate trigonometric polynomial directly ...
Luke Pfister, Yoram Bresler
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Abstract The 2021–2023 OHANA ocean‐bottom seismometer deployment in the northeast Pacific Ocean provides a rich data set for seismic studies to explore the crust, lithosphere and asthenosphere in a 600 km wide region about 1,500 km northeast of Hawaii, west of the Moonless Mountains. The study area covers mainly 40‐to‐55 Myr‐old Pacific lithosphere.
Gabi Laske +3 more
wiley +1 more source
Inequalities for trigonometric polynomials
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Department of Mathematics, University of Florida, Gainesville, Florida 32611, U.S.A. ( host institution ) +1 more
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Omnibus goodness‐of‐fit tests for univariate continuous distributions based on trigonometric moments
ABSTRACT We propose a new omnibus goodness‐of‐fit test based on trigonometric moments of probability‐integral‐transformed data. The test builds on the framework of the LK test introduced by Langholz and Kronmal [J. Amer. Statist. Assoc. 86 (1991), 1077–1084], but fully exploits the covariance structure of the associated trigonometric statistics.
Alain Desgagné, Frédéric Ouimet
wiley +1 more source
Positive trigonometric polynomials
We study the boundary of the nonnegative trigonometric polynomials from the algebraic point of view. In particularly, we show that it is a subset of an irreducible algebraic hypersurface and established its explicit form in terms of resultants.
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Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions
ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea +2 more
wiley +1 more source

