Attacking Jacobian Problem Using Resultant Theory
مجلة بغداد للعلوم, 2022 This paper introduces a relation between resultant and the Jacobian determinant by generalizing Sakkalis theorem from two polynomials in two variables to the case of (n) polynomials in (n) variables. This leads us to study the results of the type:
Alaa Jony, Shawki Al-Rashed
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A Geometric Solution to the Jacobian Problem
Journal of New Theory, 2018 In this article given a geometric solution to the well-known Jacobian problem. The twodimensionalpolynomial Keller map is considered in four-dimensional Euclidean space R4. Used the conceptof parallel. A well-known example of Vitushkin is also considered.
Kerimbayev Rashid Konyrbayevich
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The Jacobian Conjecture as a Problem of Perturbative Quantum Field Theory [PDF]
Annales Henri Poincaré, 2002 The Jacobian conjecture is an old unsolved problem in mathematics, which has been unsuccessfully attacked from many different angles. We add here another point of view pertaining to the so called formal inverse approach, that of perturbative quantum ...
Abdesselam, A.
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Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 For the hyperbolic system of quasilinear first-order partial differential equations, linearizable by hodograph transformation, the conservation laws are used to solve the Cauchy problem.
Sergey I. Senashov, Alexander Yakhno
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3D Sensitivity Zone Mapping in a Multi-Static, Microwave Breast Imaging Configuration [PDF]
SensorsOne of the keys to medical microwave tomography is understanding the sensitivity of transmit–receive signals to changes in the electromagnetic properties to be reconstructed.
Paul Meaney +2 more
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Per-unit Scheme for Integrated Solution of Hybrid Power-water Flow Problem
Journal of Modern Power Systems and Clean Energy, 2023 When applying the widely-used Newton-Raphson (N-R) method to the integrated solution of the hybrid power-water flow problem of the power-water integrated energy system (PW-IES), it is found that there are numerical differences among Jacobian elements ...
Xia Zhao, Hong Tan, Luo Wang, Mingyi Sun
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Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]
AUT Journal of Mathematics and Computing, 2022 It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
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Reduced-cost construction of Jacobian matrices for high-resolution inversions of satellite observations of atmospheric composition [PDF]
Atmospheric Measurement Techniques, 2021 Global high-resolution observations of atmospheric composition from satellites can greatly improve our understanding of surface emissions through inverse analyses.
H. Nesser +7 more
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Visual Error Constraint Free Visual Servoing Using Novel Switched Part Jacobian Control
IEEE Access, 2022 This research advances the state of the image-based visual servoing (IBVS) of robotic arms to handle very large visual errors without the camera advance/retreat problem.
Zubair Arif +3 more
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On the Kinematics of Robotic-assisted Minimally Invasive Surgery [PDF]
Modeling, Identification and Control, 2013 Minimally invasive surgery is characterized by the insertion of the surgical instruments into the human body through small insertion points called trocars, as opposed to open surgery which requires substantial cutting of skin and tissue to give the ...
Pål Johan From
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