Word.ws English Dictionary

jacobian

/jɑːˈkəʊ.bi.ən/

jacobian is the alternative letter-case form of Jacobian.

Adjective (1) capitalized: Jacobian

Jacobian (not comparable)

  1. Used to specify certain mathematical objects named in honour of C. G. J. Jacobi.
    • The Jacobian matrix has partial derivatives as its entries.

Noun capitalized: Jacobian

Jacobian (plural Jacobians)

  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..2016, Kyle E. Niemeyer, Nicholas J. Curtis, Chih-Jen Sung, “pyJac: analytical Jacobian generator for chemical kinetics”, in arXiv
  2. 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.2015, Ping Ngai Chung, Craig Costello, Benjamin Smith, “Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes”, in arXiv

Adjective (2) capitalized: Jacobian

Jacobian (comparative more Jacobian, superlative most Jacobian)

  1. Of or relating to the biblical Jacob.
    Synonyms:
    Jacobic

Synonyms of jacobian

Forms of jacobian

Noun
pluraljacobians
pluralJacobians
Adjective
comparativemore Jacobian
superlativemost Jacobian

Origin of jacobian

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

From Jacob + -ian.

Words formed from jacobian

  • Jacobian curve
  • Jacobian matrix
  • Jacobian set
  • Jacobian system

Phrases with jacobian

Questions about jacobian

What does jacobian mean?
Jacobian means used to specify certain mathematical objects named in honour of C. G. J. Jacobi.
What is jacobian the alternative letter-case form of?
Jacobian is the alternative letter-case form of Jacobian.
What part of speech is jacobian?
Jacobian can be an adjective or a noun.
How do you pronounce jacobian?
Jacobian is pronounced /jɑːˈkəʊ.bi.ən/.

Words near jacobian in the dictionary

  1. Jacobi identity
  2. Jacobi polynomial
  3. Jacobi polynomials
  4. Jacobi symbol
  5. Jacobi symbols
  6. jacobian
  7. Jacobian conjecture
  8. Jacobian conjectures
  9. jacobians
  10. Jacobic
  11. Jacobies

Source and license

Adapted from Wiktionary: jacobian (page history and authors); Jacobian (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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