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Glite Dictionary
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Jacobian

Jacobian

9.9
An object in advanced mathematics made from a curve to study its properties
  • noun
  • /dʒəˈkoʊbiən/
  • Specialized
: variedad jacobiana
  • In her research, she analyzed the Jacobian of various algebraic curves to establish their geometric properties.

Examples

  • To determine the characteristics of the line bundles, we computed the Jacobian corresponding to the algebraic curve.

  • The Jacobian provides critical information about the properties of the curve in algebraic geometry.

  • It is, I say this is the Jacobian associated with that centre of mass.

Surface Forms

Jacobian singular
Jacobi plural

Morphology

Jacobian = Jacobi (opaque) = Jacobi + an

Named after the mathematician Jacobi; the eponymous suffix does not transparently convey the specialized algebraic-geometry meaning to most learners.

Etymology

Jacobian is named after the mathematician Jacobi, so it means 'of Jacobi'. In algebraic geometry the Jacobian names a special geometric object attached to a curve, and the name shows it comes from Jacobi's work.