Of Commutators and Jacobians [PDF]
, 2021 I discuss the prescribed Jacobian equation $Ju=\det\nabla u=f$ for an unknown vector-function $u$, and the connection of this problem to the boundedness of commutators of multiplication operators with singular integrals in general, and with the Beurling operator in particular. A conjecture of T. Iwaniec regarding the solvability for general datum $f\in
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Kinematic and Dynamics Modeling of Nonholonomic Mobile Robot
Scientific Journal of Gdynia Maritime University, 2023 This paper presents computer simulation results of kinematic and dynamic of two and three – wheeled mobile robot, conducted in the Matlab&Simulink packet environment.
Krzysztof Jasiński +3 more
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Unified Parameterization and Calibration of Serial, Parallel, and Hybrid Manipulators
Robotics, 2021 In this work, we present methods allowing parallel, hybrid, and serial manipulators to be analyzed, calibrated, and controlled with the same analytical tools.
Benjamin L. Moser +2 more
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N\'eron models of Jacobians over bases of arbitrary dimension [PDF]
Épijournal de Géométrie Algébrique, 2022 We work with a smooth relative curve $X_U/U$ with nodal reduction over an excellent and locally factorial scheme $S$. We show that blowing up a nodal model of $X_U$ in the ideal sheaf of a section yields a new nodal model, and describe how these models ...
Thibault Poiret
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Retrieval of temperature and humidity profiles from ground-based high-resolution infrared observations using an adaptive fast iterative algorithm [PDF]
Atmospheric Measurement Techniques, 2023 Various retrieval algorithms have been developed for retrieving temperature and water vapor profiles from Atmospheric Emitted Radiance Interferometer (AERI) observations.
W. Huang +7 more
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The Jacobian conjecture for symmetric Jacobian matrices
Journal of Pure and Applied Algebra, 2004 Let \(F = (F_1,\ldots,F_n) : \mathbb C^n \longrightarrow \mathbb C^n\) be a polynomial map and \(J(F) = (\partial F_i/\partial x_j)\) the Jacobian matrix of \(F\). The Jacobian conjecture asserts that \(F\) is invertible if det\((J(F)) \in \mathbb C^*\).
van den Essen, Arno, Washburn, Sherwood
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On the Approximate Polar Curves of Foliations
Mathematics, 2023 We present a decomposition theorem of the generic polar curves of a generalized curve foliation with only one separatrix and the Hamiltonian foliations defined by the approximate roots of the generatrix.
Percy Fernández-Sánchez +2 more
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RTTOV-gb – adapting the fast radiative transfer model RTTOV for the assimilation of ground-based microwave radiometer observations [PDF]
Geoscientific Model Development, 2016 Ground-based microwave radiometers (MWRs) offer a new capability to provide continuous observations of the atmospheric thermodynamic state in the planetary boundary layer. Thus, they are potential candidates to supplement radiosonde network and satellite
F. De Angelis +4 more
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On the Jacobian Conjecture [PDF]
Proceedings of the American Mathematical Society, 1993 We show that the Jacobian conjecture can be reduced to a weaker conjecture in which all fibers of coordinate functions are irreducible.
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Complex Eigenvalue Analysis of Multibody Problems via Sparsity-Preserving Krylov–Schur Iterations
Machines, 2023 In this work, we discuss the numerical challenges involved in the computation of the complex eigenvalues of damped multi-flexible-body problems. Aiming at the highest generality, the candidate method must be able to deal with arbitrary rigid body modes ...
Dario Mangoni +2 more
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