See Jacobian on Wiktionary
Download JSON data for Jacobian meaning in All languages combined (6.9kB)
{ "etymology_number": 1, "etymology_templates": [ { "args": { "1": "en", "2": "Jacobi", "3": "an" }, "expansion": "Jacobi + -an", "name": "suffix" } ], "etymology_text": "Jacobi + -an, after Carl Gustav Jacob Jacobi, a German mathematician of the 19th century.", "head_templates": [ { "args": { "1": "-" }, "expansion": "Jacobian (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "_dis": "42 39 11 8", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "53 34 13", "kind": "other", "name": "English terms suffixed with -an", "parents": [], "source": "w+disamb" } ], "examples": [ { "text": "The Jacobian matrix has partial derivatives as its entries." } ], "glosses": [ "Used to specify certain mathematical objects named in honour of C. G. J. Jacobi." ], "id": "en-Jacobian-en-adj-yqVX~MD0", "links": [ [ "mathematical", "mathematical#English" ], [ "object", "object#English" ], [ "C. G. J. Jacobi", "w:Carl Gustav Jacob Jacobi" ] ], "tags": [ "not-comparable" ], "translations": [ { "code": "de", "lang": "German", "sense": "in honor of Jacobi", "word": "Jacobi-" }, { "code": "es", "lang": "Spanish", "sense": "in honor of Jacobi", "word": "jacobiano" } ] } ], "sounds": [ { "ipa": "/jɑːˈkəʊ.bi.ən/" }, { "ipa": "/d͡ʒəˈkoʊ.bi.ən/" }, { "audio": "LL-Q1860 (eng)-Persent101-Jacobian.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/62/LL-Q1860_%28eng%29-Persent101-Jacobian.wav/LL-Q1860_%28eng%29-Persent101-Jacobian.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/62/LL-Q1860_%28eng%29-Persent101-Jacobian.wav/LL-Q1860_%28eng%29-Persent101-Jacobian.wav.ogg", "tags": [ "US" ], "text": "Audio (US)" }, { "enpr": "yä-kõ'-bi-un" } ], "wikipedia": [ "Carl Gustav Jacob Jacobi" ], "word": "Jacobian" } { "etymology_number": 1, "etymology_templates": [ { "args": { "1": "en", "2": "Jacobi", "3": "an" }, "expansion": "Jacobi + -an", "name": "suffix" } ], "etymology_text": "Jacobi + -an, after Carl Gustav Jacob Jacobi, a German mathematician of the 19th century.", "forms": [ { "form": "Jacobians", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Jacobian (plural Jacobians)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "topical", "langcode": "en", "name": "Calculus", "orig": "en:Calculus", "parents": [ "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "42 39 11 8", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" } ], "glosses": [ "A Jacobian matrix or its associated operator." ], "id": "en-Jacobian-en-noun-BSwHBgdS", "links": [ [ "calculus", "calculus" ], [ "matrix", "matrix" ], [ "operator", "operator" ] ], "raw_glosses": [ "(calculus) A Jacobian matrix or its associated operator." ], "topics": [ "calculus", "mathematics", "sciences" ], "translations": [ { "_dis1": "83 17", "code": "de", "lang": "German", "sense": "Jacobian matrix", "tags": [ "feminine" ], "word": "Jacobi-Matrix" }, { "_dis1": "83 17", "code": "de", "lang": "German", "sense": "Jacobian matrix", "tags": [ "feminine" ], "word": "Funktionalmatrix" }, { "_dis1": "83 17", "code": "de", "lang": "German", "sense": "Jacobian matrix", "tags": [ "feminine" ], "word": "Ableitungsmatrix" }, { "_dis1": "83 17", "code": "he", "lang": "Hebrew", "roman": "matrítzat ya'akóbi", "sense": "Jacobian matrix", "tags": [ "feminine" ], "word": "מטריצת יעקובי" }, { "_dis1": "83 17", "code": "es", "lang": "Spanish", "sense": "Jacobian matrix", "tags": [ "feminine" ], "word": "matriz jacobiana" } ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Calculus", "orig": "en:Calculus", "parents": [ "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "The determinant of such a matrix." ], "id": "en-Jacobian-en-noun-MTDOOUma", "links": [ [ "calculus", "calculus" ], [ "determinant", "determinant" ] ], "raw_glosses": [ "(calculus) The determinant of such a matrix." ], "topics": [ "calculus", "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "/jɑːˈkəʊ.bi.ən/" }, { "ipa": "/d͡ʒəˈkoʊ.bi.ən/" }, { "audio": "LL-Q1860 (eng)-Persent101-Jacobian.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/62/LL-Q1860_%28eng%29-Persent101-Jacobian.wav/LL-Q1860_%28eng%29-Persent101-Jacobian.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/62/LL-Q1860_%28eng%29-Persent101-Jacobian.wav/LL-Q1860_%28eng%29-Persent101-Jacobian.wav.ogg", "tags": [ "US" ], "text": "Audio (US)" }, { "enpr": "yä-kõ'-bi-un" } ], "translations": [ { "_dis1": "55 45", "code": "de", "lang": "German", "sense": "the determinant of the Jacobian matrix", "tags": [ "feminine" ], "word": "Jacobi-Determinante" }, { "_dis1": "55 45", "code": "de", "lang": "German", "sense": "the determinant of the Jacobian matrix", "tags": [ "feminine" ], "word": "Funktionaldeterminante" }, { "_dis1": "55 45", "code": "he", "lang": "Hebrew", "roman": "ya'akobián", "sense": "the determinant of the Jacobian matrix", "tags": [ "masculine" ], "word": "יעקוביאן" }, { "_dis1": "55 45", "code": "es", "lang": "Spanish", "sense": "the determinant of the Jacobian matrix", "tags": [ "masculine" ], "word": "determinante jacobiano" }, { "_dis1": "55 45", "code": "es", "lang": "Spanish", "sense": "the determinant of the Jacobian matrix", "tags": [ "masculine" ], "word": "jacobiano" } ], "wikipedia": [ "Carl Gustav Jacob Jacobi" ], "word": "Jacobian" } { "etymology_number": 2, "etymology_templates": [ { "args": { "1": "en", "2": "Jacob", "3": "ian" }, "expansion": "Jacob + -ian", "name": "suf" } ], "etymology_text": "Jacob + -ian", "forms": [ { "form": "more Jacobian", "tags": [ "comparative" ] }, { "form": "most Jacobian", "tags": [ "superlative" ] } ], "head_templates": [ { "args": {}, "expansion": "Jacobian (comparative more Jacobian, superlative most Jacobian)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "_dis": "42 39 11 8", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "30 45 18 6", "kind": "other", "name": "English entries with language name categories using raw markup", "parents": [ "Entries with language name categories using raw markup", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "31 43 20 6", "kind": "other", "name": "English terms suffixed with -ian", "parents": [], "source": "w+disamb" } ], "glosses": [ "Of or relating to the biblical Jacob." ], "id": "en-Jacobian-en-adj-SqSaU0pC", "links": [ [ "biblical", "biblical" ], [ "Jacob", "Jacob" ] ], "synonyms": [ { "word": "Jacobic" } ] } ], "word": "Jacobian" }
{ "categories": [ "English 4-syllable words", "English adjectives", "English countable nouns", "English entries with incorrect language header", "English entries with language name categories using raw markup", "English eponyms", "English lemmas", "English nouns", "English terms suffixed with -an", "English terms suffixed with -ian", "English terms with IPA pronunciation", "English terms with audio links", "English uncomparable adjectives" ], "etymology_number": 1, "etymology_templates": [ { "args": { "1": "en", "2": "Jacobi", "3": "an" }, "expansion": "Jacobi + -an", "name": "suffix" } ], "etymology_text": "Jacobi + -an, after Carl Gustav Jacob Jacobi, a German mathematician of the 19th century.", "head_templates": [ { "args": { "1": "-" }, "expansion": "Jacobian (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "examples": [ { "text": "The Jacobian matrix has partial derivatives as its entries." } ], "glosses": [ "Used to specify certain mathematical objects named in honour of C. G. J. Jacobi." ], "links": [ [ "mathematical", "mathematical#English" ], [ "object", "object#English" ], [ "C. G. J. Jacobi", "w:Carl Gustav Jacob Jacobi" ] ], "tags": [ "not-comparable" ] } ], "sounds": [ { "ipa": "/jɑːˈkəʊ.bi.ən/" }, { "ipa": "/d͡ʒəˈkoʊ.bi.ən/" }, { "audio": "LL-Q1860 (eng)-Persent101-Jacobian.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/62/LL-Q1860_%28eng%29-Persent101-Jacobian.wav/LL-Q1860_%28eng%29-Persent101-Jacobian.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/62/LL-Q1860_%28eng%29-Persent101-Jacobian.wav/LL-Q1860_%28eng%29-Persent101-Jacobian.wav.ogg", "tags": [ "US" ], "text": "Audio (US)" }, { "enpr": "yä-kõ'-bi-un" } ], "translations": [ { "code": "de", "lang": "German", "sense": "in honor of Jacobi", "word": "Jacobi-" }, { "code": "es", "lang": "Spanish", "sense": "in honor of Jacobi", "word": "jacobiano" } ], "wikipedia": [ "Carl Gustav Jacob Jacobi" ], "word": "Jacobian" } { "categories": [ "English 4-syllable words", "English adjectives", "English countable nouns", "English entries with incorrect language header", "English entries with language name categories using raw markup", "English eponyms", "English lemmas", "English nouns", "English terms suffixed with -an", "English terms suffixed with -ian", "English terms with IPA pronunciation", "English terms with audio links", "English uncomparable adjectives" ], "etymology_number": 1, "etymology_templates": [ { "args": { "1": "en", "2": "Jacobi", "3": "an" }, "expansion": "Jacobi + -an", "name": "suffix" } ], "etymology_text": "Jacobi + -an, after Carl Gustav Jacob Jacobi, a German mathematician of the 19th century.", "forms": [ { "form": "Jacobians", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Jacobian (plural Jacobians)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "en:Calculus" ], "glosses": [ "A Jacobian matrix or its associated operator." ], "links": [ [ "calculus", "calculus" ], [ "matrix", "matrix" ], [ "operator", "operator" ] ], "raw_glosses": [ "(calculus) A Jacobian matrix or its associated operator." ], "topics": [ "calculus", "mathematics", "sciences" ] }, { "categories": [ "en:Calculus" ], "glosses": [ "The determinant of such a matrix." ], "links": [ [ "calculus", "calculus" ], [ "determinant", "determinant" ] ], "raw_glosses": [ "(calculus) The determinant of such a matrix." ], "topics": [ "calculus", "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "/jɑːˈkəʊ.bi.ən/" }, { "ipa": "/d͡ʒəˈkoʊ.bi.ən/" }, { "audio": "LL-Q1860 (eng)-Persent101-Jacobian.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/62/LL-Q1860_%28eng%29-Persent101-Jacobian.wav/LL-Q1860_%28eng%29-Persent101-Jacobian.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/6/62/LL-Q1860_%28eng%29-Persent101-Jacobian.wav/LL-Q1860_%28eng%29-Persent101-Jacobian.wav.ogg", "tags": [ "US" ], "text": "Audio (US)" }, { "enpr": "yä-kõ'-bi-un" } ], "translations": [ { "code": "de", "lang": "German", "sense": "Jacobian matrix", "tags": [ "feminine" ], "word": "Jacobi-Matrix" }, { "code": "de", "lang": "German", "sense": "Jacobian matrix", "tags": [ "feminine" ], "word": "Funktionalmatrix" }, { "code": "de", "lang": "German", "sense": "Jacobian matrix", "tags": [ "feminine" ], "word": "Ableitungsmatrix" }, { "code": "he", "lang": "Hebrew", "roman": "matrítzat ya'akóbi", "sense": "Jacobian matrix", "tags": [ "feminine" ], "word": "מטריצת יעקובי" }, { "code": "es", "lang": "Spanish", "sense": "Jacobian matrix", "tags": [ "feminine" ], "word": "matriz jacobiana" }, { "code": "de", "lang": "German", "sense": "the determinant of the Jacobian matrix", "tags": [ "feminine" ], "word": "Jacobi-Determinante" }, { "code": "de", "lang": "German", "sense": "the determinant of the Jacobian matrix", "tags": [ "feminine" ], "word": "Funktionaldeterminante" }, { "code": "he", "lang": "Hebrew", "roman": "ya'akobián", "sense": "the determinant of the Jacobian matrix", "tags": [ "masculine" ], "word": "יעקוביאן" }, { "code": "es", "lang": "Spanish", "sense": "the determinant of the Jacobian matrix", "tags": [ "masculine" ], "word": "determinante jacobiano" }, { "code": "es", "lang": "Spanish", "sense": "the determinant of the Jacobian matrix", "tags": [ "masculine" ], "word": "jacobiano" } ], "wikipedia": [ "Carl Gustav Jacob Jacobi" ], "word": "Jacobian" } { "categories": [ "English adjectives", "English entries with incorrect language header", "English entries with language name categories using raw markup", "English eponyms", "English lemmas", "English terms suffixed with -ian" ], "etymology_number": 2, "etymology_templates": [ { "args": { "1": "en", "2": "Jacob", "3": "ian" }, "expansion": "Jacob + -ian", "name": "suf" } ], "etymology_text": "Jacob + -ian", "forms": [ { "form": "more Jacobian", "tags": [ "comparative" ] }, { "form": "most Jacobian", "tags": [ "superlative" ] } ], "head_templates": [ { "args": {}, "expansion": "Jacobian (comparative more Jacobian, superlative most Jacobian)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "glosses": [ "Of or relating to the biblical Jacob." ], "links": [ [ "biblical", "biblical" ], [ "Jacob", "Jacob" ] ], "synonyms": [ { "word": "Jacobic" } ] } ], "word": "Jacobian" }
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