Word.ws English Dictionary

Jacobi identities

Jacobi identities is the plural of Jacobi identity.

Meaning of Jacobi identity

Noun

Jacobi identity (countable and uncountable, plural Jacobi identities)

  1. Given a binary operation × defined on a set S which also has additive operation + and additive identity 0, the property that a × (b×c) + b × (c×a) + c × (a×b) = 0 for all a, b, c in S.
    • We give here two proofs of the Jacobi identity for the generalized Poisson bracket defined in Eq. (13.69a).1995, Stephen L. Adler, Quaternionic Quantum Mechanics and Quantum Fields, Oxford University Press, page 535

Questions about Jacobi identities

What is Jacobi identities the plural of?
Jacobi identities is the plural of Jacobi identity.

Words near Jacobi identities in the dictionary

  1. Jacobes
  2. Jacobethan
  3. Jacobi
  4. Jacobi ellipsoid
  5. Jacobi ellipsoids
  6. Jacobi identities
  7. Jacobi identity
  8. Jacobi polynomial
  9. Jacobi polynomials
  10. Jacobi symbol
  11. Jacobi symbols

Source and license

Adapted from Wiktionary: Jacobi identities (page history and authors); Jacobi identity (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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