Results 61 to 70 of about 31,890 (192)
Quantifier Elimination for Trigonometric Polynomials by Cylindrical Trigonometric Decomposition
Journal of Symbolic Computation, 2000 The authors present a quantifier elimination algorithm for some first-order formulas involving the trigonometric functions sine and cosine based on the cylindrical algebraic decomposition of semi-algebraic sets due to Collin (see \textit{G. E. Collins}, Lect. Notes Comput. Sci. 33, 134-183 (1975; Zbl 0318.02051)).
Pau, Petru, Schicho, Josef
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Journal of the Royal Society of New Zealand, Volume 56, Issue 3, June 2026.Machine learning techniques play an important role in analyzing spectral data. Fish biomass spectral data is useful in fish production as it carries key chemical properties of fish meat. However, it is challenging for existing machine learning techniques to comprehensively discover hidden patterns from fish biomass spectral data because the spectral ...
Zhixing Huang +5 more
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PID‐Like Robust Control of Non‐Minimum Phase Robotic Manipulators
International Journal of Robust and Nonlinear Control, Volume 36, Issue 8, Page 4490-4503, 25 May 2026.ABSTRACT This paper proposes an output‐feedback tracking controller for non‐minimum phase nonlinear systems with unknown uncertainties and external disturbances, where not all states are measurable, and the zero dynamics are unstable. The approach combines a backstepping‐based stabilizing state‐feedback law with a cascade extended high‐gain observer ...
Mohammad Al Saaideh +2 more
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Moderate Deviation Principles for Lacunary Trigonometric Sums
Mathematische Nachrichten, Volume 299, Issue 5, Page 1028-1044, May 2026.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
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Wind Energy, Volume 29, Issue 5, May 2026.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
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Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.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
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Discrete Least-norm Approximation by Nonnegative (Trigonomtric) Polynomials and Rational Functions [PDF]
Polynomials, trigonometric polynomials, and rational functions are widely used for the discrete approximation of functions or simulation models.Often, it is known beforehand, that the underlying unknown function has certain properties, e.g.
Hertog, D. den +2 more
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Inequalities for trigonometric polynomials
Journal of Approximation Theory, 1991 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
Statistica Neerlandica, Volume 80, Issue 2, May 2026.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
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Positive trigonometric polynomials
, 2003 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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