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Jacobian |
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Jacobian [jə′kō·bē·ən] (mathematics) The Jacobian of functions ƒi(x1,x2, …,xn),i= 1, 2, …,n, of real variablesxiis the determinant of the matrix whoseith row lists all the first-order partial derivatives of the function ƒi(x1,x2, …,xn). Also known as Jacobian determinant. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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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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