An Etymological Dictionary of Astronomy and Astrophysics
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فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

M. Heydari-Malayeri    -    Paris Observatory

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Number of Results: 3 Search : Jacobian
Jacobian
  یاکوبی   
Jacobi

Fr.: jacobien   

Jacobian determinant, → Jacobian matrix.

Named after Karl Gustav Jacobi (1804-1851), a German mathematician who did important work on elliptic functions, partial differential equations, and mechanics. The "Jacobian" first appeared in an 1815 paper of the French mathematician Augustin Louis Cauchy (1789-1857), but Jacobi did write a detailed memoir about it in 1841.

Jacobian determinant
  آترمگر ِ یاکوبی   
âtarmgar-e Jacobi

Fr.: déterminant jacobien   

The determinant of a → Jacobian matrix formed by the n2 → partial derivative s of n functions of n variables.

Jacobian; → determinant.

Jacobian matrix
  ماتریس ِ یاکوبی   
mâtris-e Jacobi

Fr.: matrice jacobienne   

In → vector calculus, the matrix of all → first-order partial derivatives of a vector-valued → function.

Jacobian; → matrix.