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Jacobian Dual Fibrations

American Journal of Mathematics, 1993
This paper is devoted to study a series of ``Jacobian duality phenomena'' for the symmetric algebra \(S(E)\) of a module \(E\) over a ring of polynomials. Two cases are mainly considered: the case when the dual of the module \(E\) is an ideal of codimension at least two, and the case of modules whose second Betti number is one. A series of applications
Simis, Aron   +2 more
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Jacobian and Inverse Jacobian Multipliers

2017
This chapter is mainly concerned with the existence and regularity of the Jacobian and the inverse Jacobian multipliers of differential systems near a singularity, a periodic orbit, or a polycycle. We will also use the vanishing multiplicity of inverse Jacobian multipliers to study the multiplicity of a limit cycle , or of a homoclinic loop , and the ...
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Derivatives and jacobians

Annali di Matematica Pura ed Applicata, 1962
This paper develops a theory of Jacobians and partial derivatives based on definitions analogous to that of the ordinary derivative. The definitions lead to well known classes of differentiable functions. The development employs important identities in the theory of determinants.
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The Jacobian Variety

1980
Again in this chapter we will assume a certain vague familiarity with the cohomology of sheaves and the theory of line bundles. This material is readily accessible in the modern literature, and some of it can be guessed once one is familiar with Cech cohomology of topological spaces. Our goal in this chapter is to examine in detail the Jacobian variety
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Jacobian Extensors

American Journal of Mathematics, 1950
Craig, Homer V., Guy, William T. jun.
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Efficient Jacobian-Based Inverse Kinematics With Sim-to-Real Transfer of Soft Robots by Learning

IEEE/ASME Transactions on Mechatronics, 2022
Guoxin Fang, Yingjun Tian, Zhi-Xin Yang
exaly  

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