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A brief history of the Jacobian
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In his pioneering work, Jacobi discovered two remarkable identities related to the Jacobian. The first one asserts that the Jacobian has a divergence structure. The second one, that some vector fields involving the cofactors of the Jacobian are divergence free. We illustrate the fundamental impact of these properties on research, from the times of Jacobi to our days.
World Scientific Pub Co Pte Ltd
Title: A brief history of the Jacobian
Description:
In his pioneering work, Jacobi discovered two remarkable identities related to the Jacobian.
The first one asserts that the Jacobian has a divergence structure.
The second one, that some vector fields involving the cofactors of the Jacobian are divergence free.
We illustrate the fundamental impact of these properties on research, from the times of Jacobi to our days.
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