[{"word":"jacobian","phonetics":[],"meanings":[{"partOfSpeech":"noun","definitions":[{"definition":"A Jacobian matrix or its associated operator.","synonyms":[],"antonyms":[]},{"definition":"The determinant of such a matrix.","synonyms":[],"antonyms":[]}],"synonyms":[],"antonyms":[]},{"partOfSpeech":"adjective","definitions":[{"definition":"Used to specify certain mathematical objects named in honour of C. G. J. Jacobi.","synonyms":[],"antonyms":[],"example":"The Jacobian matrix has partial derivatives as its entries."}],"synonyms":[],"antonyms":[]}],"license":{"name":"CC BY-SA 3.0","url":"https://creativecommons.org/licenses/by-sa/3.0"},"sourceUrls":["https://en.wiktionary.org/wiki/Jacobian","https://en.wiktionary.org/wiki/jacobian"]}]