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Jacobian
(redirected from Jacobians)

   Also found in: Encyclopedia, Wikipedia 0.03 sec.
Jacobian [dʒəˈkəʊbɪən], Jacobian determinant
n
(Mathematics) Maths a function from n equations in n variables whose value at any point is the n x n determinant of the partial derivatives of those equations evaluated at that point
[named after Karl Gustav Jacob Jacobi (1804-51), German mathematician.]


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The readers will appreciate the editors' decision to present the reform assessment in a general readable form (without the use of endless mathematical models mixed with Jacobians and Hamiltonians).
Using extensive examples and exercises Eaton describes vector space theory, random vectors, the normal distribution on a vector space, linear statistical models, matrix factorization and Jacobians, topological groups and invariant measures, first applications of invariance, the Wishart distribution, inferences for means in multivariate linear models and canonical correlation coefficients.
The contributors explore holomorphic foliations by curves in a complex projective space, birational classification of hyperelliptic real curves, and the genus two Jacobians that are isomorphic to a product of elliptic curves.
 
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