Jacobian

English

Etymology 1

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

Pronunciation

• enPR: yä-kõ'-bi-un, IPA^(key): /jɑːˈkəʊ.bi.ən/
• IPA^(key): /d͡ʒəˈkoʊ.bi.ən/

• Audio (US)

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Adjective

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.

Translations

in honor of Jacobi

• German: Jacobi-
• Spanish: jacobiano

Noun

Jacobian (plural Jacobians)

1. (calculus) A Jacobian matrix or its associated operator.
2. (calculus) The determinant of such a matrix.

Translations

Jacobian matrix

• German: Jacobi-Matrix f, Funktionalmatrix f, Ableitungsmatrix f
• Hebrew: מטריצת יעקובי f (matrítzat ya'akóbi)
• Spanish: matriz jacobiana f

the determinant of the Jacobian matrix

• German: Jacobi-Determinante f, Funktionaldeterminante f
• Hebrew: יעקוביאן m (ya'akobián)
• Spanish: determinante jacobiano m, jacobiano m

Further reading

• Jacobian on Wikipedia.Wikipedia

Etymology 2

Jacob +‎ -ian

Adjective

Jacobian (comparative more Jacobian, superlative most Jacobian)

1. Of or relating to the biblical Jacob.

   Synonym: Jacobic

Anagrams

• Bajocian