Results 221 to 230 of about 10,447 (303)

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen   +3 more
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Methods for Uncertainty Quantification in Dictionary Matching to Advance Reliability of Quantitative MRI

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Aims Purpose: Dictionary matching is a standard tool in quantitative MRI (qMRI), but typically lacks uncertainty quantification (UQ). This is critical when advanced reconstructions (e.g., compressed sensing, deep learning) introduce complex‐valued, spatially varying, and temporally correlated noise that violates standard assumptions of ...
Brian Toner   +7 more
wiley   +1 more source

Nonlinear Dynamics of a Passive Walker: Bifurcation and Stability Insights With Spring and Damper Mechanics

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This study explores the nonlinear dynamics associated with a passive dynamic walker (PDW), focusing on the bifurcation and stability insights derived from spring and damper mechanics. PDWs, which rely on gravity for stable locomotion without active control, exhibit a rich spectrum of behaviors, from periodic to chaotic motion.
Zhongqu Xie   +8 more
wiley   +1 more source

Causal Inference for Genomic Data with Multiple Heterogeneous Outcomes. [PDF]

open access: yesJ Am Stat Assoc
Du JH   +4 more
europepmc   +1 more source

Inertial‐Based LQG Control: A New Look at Inverted‐Pendulum Stabilization

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Linear‐quadratic Gaussian (LQG) control is a well‐established method for optimal control through state estimation, particularly in stabilizing an inverted pendulum on a cart. In standard laboratory setups, sensor redundancy enables direct measurement of configuration variables using displacement sensors and rotary encoders. However, in outdoor
Daniel Engelsman, Itzik Klein
wiley   +1 more source

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