Results 191 to 200 of about 14,747,589 (248)

Hyperbolic Rotations With Hybrid Numbers

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper presents a geometric and algebraic analysis of hyperbolic hybrid numbers, which combine structural features of the complex, dual, and hyperbolic number systems. Based on the algebraic properties of the hybrid number set, hyperbolic rotations in both the plane and space are investigated.
İskender Öztürk   +2 more
wiley   +1 more source

Generalizations of the Dirichlet Problem for Bianalytic Functions

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We prove the Dirichlet problem for second‐order iterated Vekua equations, a natural generalization of the Bitsadze equation, is well‐posed when the boundary condition is defined as a product of an exponential function and a polynomial on a non‐degenerate conic that is not a circumference.
William L. Blair
wiley   +1 more source

A theoretical framework for brain-computer interfaces: decodability, performance limits, and closed-loop adaptation. [PDF]

open access: yesFront Hum Neurosci
Fu Y   +10 more
europepmc   +1 more source

An Implicit Nodal–Staggered Finite Difference Scheme for Damped Shear Beam Models Without Rotational Inertia

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos   +3 more
wiley   +1 more source

High Dynamic Range Turbo‐FLASH B1 Mapping for Characterizing Multi‐Transmit Multi‐Receive RF Arrays, Validated at 7 T and 11.7 T

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Transmit (B1+) and receive (B1−) sensitivities of parallel‐transmit/receive RF array are a prerequisite for modern ultra‐high‐field MRI. Their accurate mapping remains challenging for coils with high transmit dynamic range, particularly in regions with low combined‐mode B1+ magnitude, where standard reconstruction is impaired by noise.
Natalia Dudysheva   +5 more
wiley   +1 more source

Linear Mechatronic Modeling of Rectangular Tank Sloshing Dynamics

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Sloshing dynamics in partially filled tanks can strongly influence system‐level behavior when fluid motion couples with rigid‐body dynamics. This paper presents a linear and acausal two‐dimensional sloshing model for rectangular tanks, based on the reformulation of established sloshing theory within a modular, multi‐domain modeling framework ...
Magnus Steinstø, Eilif Pedersen
wiley   +1 more source

Dynamic Performance Enhancement of a High‐Agility Hypersonic Mechanical System via a Learning‐Augmented Robust Control Architecture

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori   +1 more
wiley   +1 more source

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