Results 71 to 80 of about 1,144 (174)
The Turning-Values of Cubic and Quartic Functions and the Nature of the Roots of Cubic and Quartic Equations [PDF]
Proceedings of the Edinburgh Mathematical Society, 1904 n ...
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Restoration Ecology, EarlyView.Abstract Introduction Conventional reclamation methods to recover dryland ecosystems after mineral extraction often have low success. Alternative reclamation techniques may help overcome the many challenges to establishing persistent native vegetation and stable soils.
Kathryn D. Eckhoff +5 more
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Generalized Hyers–Ulam stability of mixed-type additive-quartic mappings in 2-Banach spaces
Demonstratio MathematicaThis paper aims to explore the stability of a mixed-type additive-quartic functional equation in 2-Banach spaces via the direct method. We categorize mappings satisfying a certain functional inequality into odd, even, and general mappings, and establish ...
Ponmana Selvan Arumugam +2 more
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Stability of quartic functional equations in 2-Banach space
International Journal of Mathematical Analysis, 2013 Summary: In this paper, we investigate the generalized Hyers-Ulam stability of the functional equation \[ f(2x+y)+f(2x-y)=4f(x+y)+4f(x-y)+24f(x)-6f(y) \] in 2-Banach space.
Patel, B. M., Patel, A. B.
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European Journal of Sport Science, Volume 26, Issue 7, July 2026.ABSTRACT Taxonomies are widely used in sport science to classify disciplines according to structural, cognitive, and physiological demands, yet their robustness in differentiating athletes' cognitive performance remains uncertain. This study examined whether commonly applied sport classification frameworks—open versus closed skills, strategic–static ...
Laura Will +5 more
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Coherent Forecasting of Realized Volatility
Journal of Forecasting, Volume 45, Issue 4, Page 1714-1729, July 2026.ABSTRACT The QLIKE loss function is the stylized favorite of the literature on volatility forecasting when it comes to out‐of‐sample evaluation and the state of the art model for realized volatility (RV) forecasting is the HAR model, which minimizes the squared error loss for in‐sample estimation of the parameters.
Marius Puke, Karsten Schweikert
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On the Meaning of Localization in Non‐Local Quantum Field Theory
Annalen der Physik, Volume 538, Issue 6, June 2026.In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
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Hyers-Ulam stability of an \(n\)-variable quartic functional equation
AIMS Mathematics, 2021 In this note we investigate the general solution for the quartic functional equation of the form $\left(n\in \mathbb{N}, \, \, n > 4 \right)$ and also investigate the Hyers-Ulam stability of the quartic functional equation in random normed spaces using the direct approach and the fixed point approach.
Vediyappan Govindan +2 more
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Inverse Design of Mirror‐Symmetric Disordered Systems for Broadband Perfect Transmission
Laser &Photonics Reviews, Volume 20, Issue 11, 5 June 2026.This work introduces an inverse design approach to achieve broadband perfect wave transmission in mirror‐symmetric disordered media. Leveraging symmetry simplifies optimization and enables control of multiple reflectionless states. Experiments in microwave waveguides confirm the design of exceptional points, bandpass filters, and broadband quasi ...
Zhazira Zhumabay +4 more
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Multiquartic functional equations
Advances in Difference Equations, 2019 In this paper, we study n-variable mappings that are quartic in each variable. We show that the conditions defining such mappings can be unified in a single functional equation.
Abasalt Bodaghi +2 more
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