Jacobian

//jɑːˈkəʊ.bi.ən// adj, noun

adj, noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    A Jacobian matrix or its associated operator.

    "As a demonstration, we first establish the correctness of the Jacobian matrices for kinetic models of hydrogen, methane, ethylene, and isopentanol oxidation, then demonstrate the performance achievable on CPUs and GPUs using pyJac via matrix evaluation timing comparisons.."

  2. 2
    Alternative letter-case form of Jacobian. alt-of
  3. 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."

Adjective
  1. 1
    Used to specify certain mathematical objects named in honour of C. G. J. Jacobi. not-comparable

    "The Jacobian matrix has partial derivatives as its entries."

  2. 2
    Of or relating to the biblical Jacob.
  3. 3
    Alternative letter-case form of Jacobian. alt-of, not-comparable

Synonyms

All synonyms
jacobic

Example

More examples

"The Jacobian matrix has partial derivatives as its entries."

Etymology

Etymology 1

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

Etymology 2

From Jacob + -ian.

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.