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Jacobian

adj
/jɑːˈkəʊ.bi.ən/

Etymology

From Jacobi + -an, after Carl Gustav Jacob Jacobi, a German mathematician of the 19th century.

  1. borrowed from Jacopi
  2. formed as jacobian — “Jacobi + -an”

Definitions

  1. Used to specify certain mathematical objects named in honour of C. G. J. Jacobi.

    • The Jacobian matrix has partial derivatives as its entries.

  2. A Jacobian matrix or its associated operator.

  3. The determinant of such a matrix.

    • In terms of per-bit security, elliptic curves and Jacobians of genus 2 curves appear to be roughly equivalent. However, when it comes to efficient and side-channel-aware implementations, we see a curious divergence.
  4. ›+ 2 more definitions

    1. Of or relating to the biblical Jacob.

    2. Alternative letter-case form of Jacobian.

The neighborhood

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA