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math.RA2025
A nonlinear analogue of additive commutators
Truong Huu Dung, Tran Nam Son, Pham Duy Vinh
We study a nonlinear analogue of additive commutators, known as \textit{polynomial commutators}, defined by for a polynomial and elements in an…
physics.app-ph2025
Revealing Modeshape Complexity and Sensitivity in Torsional Vibrations of Microcantilevers with Overhang- and T-shaped Geometries
Le Tri Dat, Nguyen Duy Vy
The torsional vibration of atomic force microscope (AFM) cantilevers is critical for high-sensitivity measurements, yet existing models for width-varying cantilevers often rely on…