See Jacobian in All languages combined, or Wiktionary
{ "etymology_number": 1, "etymology_templates": [ { "args": { "1": "en", "2": "Jacobi", "3": "an" }, "expansion": "Jacobi + -an", "name": "suffix" } ], "etymology_text": "From 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": "43 39 10 8", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "68 17 14", "kind": "other", "name": "English terms suffixed with -an", "parents": [], "source": "w+disamb" }, { "_dis": "42 40 11 7", "kind": "other", "name": "English terms suffixed with -ian", "parents": [], "source": "w+disamb" }, { "_dis": "87 8 6", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" }, { "_dis": "43 42 8 7", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "48 47 4 2", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" }, { "_dis": "75 14 11", "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w+disamb" }, { "_dis": "78 13 10", "kind": "other", "name": "Terms with Hebrew translations", "parents": [], "source": "w+disamb" }, { "_dis": "85 9 7", "kind": "other", "name": "Terms with Spanish translations", "parents": [], "source": "w+disamb" } ], "examples": [ { "text": "The Jacobian matrix has partial derivatives as its entries.", "type": "example" } ], "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": [ { "enpr": "yä-kõ'-bi-un" }, { "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" } ], "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": "From 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 40 11 7", "kind": "other", "name": "English terms suffixed with -ian", "parents": [], "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": [ { "enpr": "yä-kõ'-bi-un" }, { "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" } ], "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": "From 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": "43 39 10 8", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "42 40 11 7", "kind": "other", "name": "English terms suffixed with -ian", "parents": [], "source": "w+disamb" }, { "_dis": "43 42 8 7", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "48 47 4 2", "kind": "other", "name": "Pages with entries", "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 adjectives", "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English nouns", "English terms suffixed with -an", "English terms suffixed with -ian", "English uncomparable adjectives", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with German translations", "Terms with Hebrew translations", "Terms with Spanish translations" ], "etymology_number": 1, "etymology_templates": [ { "args": { "1": "en", "2": "Jacobi", "3": "an" }, "expansion": "Jacobi + -an", "name": "suffix" } ], "etymology_text": "From 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": [ "English terms with usage examples" ], "examples": [ { "text": "The Jacobian matrix has partial derivatives as its entries.", "type": "example" } ], "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": [ { "enpr": "yä-kõ'-bi-un" }, { "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" } ], "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 adjectives", "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English nouns", "English terms suffixed with -an", "English terms suffixed with -ian", "English uncomparable adjectives", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with German translations", "Terms with Hebrew translations", "Terms with Spanish translations" ], "etymology_number": 1, "etymology_templates": [ { "args": { "1": "en", "2": "Jacobi", "3": "an" }, "expansion": "Jacobi + -an", "name": "suffix" } ], "etymology_text": "From 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": [ { "enpr": "yä-kõ'-bi-un" }, { "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" } ], "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 eponyms", "English lemmas", "English terms suffixed with -ian", "Pages with 1 entry", "Pages with entries" ], "etymology_number": 2, "etymology_templates": [ { "args": { "1": "en", "2": "Jacob", "3": "ian" }, "expansion": "Jacob + -ian", "name": "suf" } ], "etymology_text": "From 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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