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NeuroImage: Clinical, 2014 Gray matter atrophy provides important insights into neurodegeneration in multiple sclerosis (MS) and can be used as a marker of neuroprotection in clinical trials. Jacobian integration is a method for measuring volume change that uses integration of the
Kunio Nakamura +2 more
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Model-Based Control of a Continuum Manipulator with Online Jacobian Error Compensation Using Kalman Filtering [PDF]
Cyborg and Bionic SystemsFlexible continuum robots exhibit excellent adaptability to a wide range of tasks and environments. However, accurate and efficient modeling and control remain challenging due to their inherent nonlinearities.
Yujia Zhai +4 more
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Tropicalization of the universal Jacobian [PDF]
Épijournal de Géométrie Algébrique, 2022 In this article we provide a stack-theoretic framework to study the universal tropical Jacobian over the moduli space of tropical curves. We develop two approaches to the process of tropicalization of the universal compactified Jacobian over the moduli ...
Margarida Melo +3 more
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St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2023 In the paper, the two main approaches to calculating the Jacobian of the Navier–Stokes equations, namely, the continuum (CA) and discrete (DA) approaches, have been directly compared for the first time. The DA to calculating this Jacobian was implemented
Golubkov Valentin, Garbaruk Andrey
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PLANAR HARMONIC MAPPINGS WITH A GIVEN JACOBIAN
Проблемы анализа, 2023 The article is devoted to the study of the Jacobians of sense-preserving harmonic mappings in the unit disk of the complex plane. The main result is a criterion for an infinitely differentiable positive function to be a Jacobian of some sense-preserving
S. Yu. Graf, I. A. Nikitin
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Sensors, 2020 Sarcopenia is defined as muscle mass and strength loss with aging. As places, such as South Korea, Japan, and Europe have entered an aged society, sarcopenia is attracting global attention with elderly health.
Yeoun-Jae Kim +2 more
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An extension to the planar Markus–Yamabe Jacobian conjecture
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We extend the planar Markus–Yamabe Jacobian conjecture to differential systems having Jacobian matrix with eigenvalues with negative or zero real parts.
Marco Sabatini
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Kinematic Comparisons of Hybrid Mechanisms for Bone Surgery: 3-PRP-3-RPS and 3-RPS-3-PRP
Machines, 2022 This paper proposes an approach to derive the Jacobian matrix of a hybrid mechanism by applying a velocity operator to the transformation matrix. This Jacobian matrix is capable of deducing hybrid singularities, which cannot be identified by using the ...
Christopher Reinaldo +3 more
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Observations on the Computation of Eigenvalue and Eigenvector Jacobians
Algorithms, 2019 Many scientific and engineering problems benefit from analytic expressions for eigenvalue and eigenvector derivatives with respect to the elements of the parent matrix.
Andrew J. Liounis +2 more
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Selfinjective quivers with potential and 2-representation-finite algebras [PDF]
, 2010 We study quivers with potential (QPs) whose Jacobian algebras are finite dimensional selfinjective. They are an analogue of the `good QPs' studied by Bocklandt whose Jacobian algebras are 3-Calabi-Yau.
Hatcher +3 more
core +1 more source