Results 61 to 70 of about 781 (209)

Note on the q-Extension of Barnes' Type Multiple Euler Polynomials

Journal of Inequalities and Applications, 2009
We construct the q-Euler numbers and polynomials of higher order, which are related to Barnes' type multiple Euler polynomials. We also derive many properties and formulae for our q-Euler polynomials of higher order by using the multiple integral ...
Leechae Jang, Taekyun Kim, Young-Hee Kim, Kyung-Won Hwang   +3 more
doaj   +1 more source

Enhanced Control Strategies for Residual‐Vibration Suppression and Adaptive Tracking in Flexible Manipulator Under Unknown Bounded Disturbances

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper proposes a hybrid control strategy for flexible‐link manipulators that combines offline trajectory planning with adaptive tracking to suppress residual elastic vibration (REV) under unknown bounded disturbances. A rigid–flexible coupling dynamics model is first established using the floating‐frame method and Lagrange's equations ...
Mingming Shi, Bao Rong, Xiaoting Rui, Guoping Wang, Xiaoli Dong, Xin Zhao   +5 more
wiley   +1 more source

Some identities on the weighted q-Euler numbers and q-Bernstein polynomials

Journal of Inequalities and Applications, 2011
Recently, Ryoo introduced the weighted q-Euler numbers and polynomials which are a slightly different Kim's weighted q-Euler numbers and polynomials(see C. S. Ryoo, A note on the weighted q-Euler numbers and polynomials, 2011]).
Ryoo Cheon, Kim Taekyun, Kim Young-Hee
doaj  

On the Symmetric Properties of Higher-Order Twisted q-Euler Numbers and Polynomials

Advances in Difference Equations, 2010
In 2009, Kim et al. gave some identities of symmetry for the twisted Euler polynomials of higher-order, recently. In this paper, we extend our result to the higher-order twisted q-Euler numbers and polynomials.
Sun-Jung Lee, Seog-Hoon Rim, Jeong-Hee Jin, Eun-Jung Moon   +3 more
doaj   +1 more source

Experimental and Modeling Investigation of Seawater Hydrolysis Effects on Aramid Fiber Rupture Behavior

Journal of Polymer Science, EarlyView.
Hydrolytic aging in seawater produces markedly different mechanical responses among commercial Aramid fibers. While some fibers exhibit progressive degradation, others maintain stable or even improved tensile behavior. Experimental yarn‐scale testing combined with mathematical degradation modeling and Arrhenius‐based lifetime prediction provides new ...
Daniel Magalhães da Cruz, Ignacio Melito, Tales Luiz Popiolek Júnior, Jakson Manfredini Vassoler, Felipe Tempel Stumpf, Fernanda Mazuco Clain, Carlos Eduardo Marcos Guilherme   +6 more
wiley   +1 more source

Epistemic and aleatoric uncertainty quantification in weather and climate models

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Aleatoric and epistemic uncertainties over time on weather and climate time‐scales, estimated through ensembles that sample aleatoric and epistemic uncertainty using Bayesian neural networks for parameterisations in the Lorenz 1996 model. The spread shows the 16th and 84th percentiles.
Laura A. Mansfield, Hannah M. Christensen   +1 more
wiley   +1 more source

On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling

Applied Mathematics in Science and Engineering
In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan, Ugur Duran, Jihad Younis, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Generalized q-Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities

Journal of Inequalities and Applications, 2010
We give a new construction of the q-Euler numbers and polynomials of higher order attached to Dirichlet's character χ. We derive some theoretic identities involving the generalized q-Euler numbers and polynomials of higher order.
T. Kim, Y. H. Kim
doaj   +1 more source

New views of some invariants associated with the Cartesian 2D velocity gradient tensor

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Vorticity and divergence of horizontal flow are fundamental quantities in meteorology; both are linear functions of the four elements of the 2D velocity gradient tensor and both are formally unchanged under coordinate rotation. We explore four quadratic functions of the elements that are geometrically invariant in this sense, finding some novel ...
I. Roulstone, S. A. Clough, A. A. White
wiley   +1 more source

Propagation of internal gravity waves: Optimal vertical discretisation and grid design based on numerical error analysis

Quarterly Journal of the Royal Meteorological Society, EarlyView.
An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida, Laurent Debreu, Florian Lemarié, Jérome Chanut   +3 more
wiley   +1 more source