Results 31 to 40 of about 11,209 (117)
Function Art: Linking Mathematics, Technology, and Visual Arts
School Science and Mathematics, EarlyView.ABSTRACT This study investigated students' understanding of mathematical functions and strategies to create artwork using GeoGebra. It was framed by the principles of constructionism and examined how students use functions in creating artworks. We gathered data from students' artworks using the Algebra view and the Construction Protocol in the GeoGebra
Guillermo Bautista Jr +5 more
wiley +1 more source
Limits of elliptic hypergeometric integrals
, 2006 In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric integrals. The purpose of the present note is to explore more carefully the various limiting cases (hyperbolic, trigonometric, rational, and classical) that exist.
Rains, Eric M.
core +1 more source
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
wiley +1 more source
Exponential Riesz bases, discrepancy of irrational rotations and BMO
, 2011 We study the basis property of systems of exponentials with frequencies belonging to 'simple quasicrystals'. We show that a diophantine condition is necessary and sufficient for such a system to be a Riesz basis in L^2 on a finite union of intervals. For
Kozma, Gady, Lev, Nir
core +1 more source
Advanced Functional Materials, Volume 36, Issue 36, 4 May 2026.Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Wind Turbine Model Validation Is Improved by High‐Resolution, Measurement‐Derived Inflows
Wind Energy, Volume 29, Issue 5, May 2026.ABSTRACT There is an increased need for accurate validation of turbine models used by original equipment manufacturers to fine‐tune prototypes and predict power performance and maintenance needs while avoiding costly warranty payouts. Perhaps the most substantial source of uncertainty in typical wind turbine model validation procedures is the use of ...
Daniel Houck +6 more
wiley +1 more source
Some extremal functions in Fourier analysis, II
, 2008 We obtain extremal majorants and minorants of exponential type for a class of even functions on $\R$ which includes $\log |x|$ and $|x|^\alpha$, where $-1 < \alpha < 1$. We also give periodic versions of these results in which the majorants and minorants
Carneiro, Emanuel, Vaaler, Jeffrey D.
core +2 more sources
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
wiley +1 more source