"Jacobian" meaning in All languages combined

See Jacobian on Wiktionary

Adjective [English]

IPA: /jɑːˈkəʊ.bi.ən/, /d͡ʒəˈkoʊ.bi.ən/ Audio: LL-Q1860 (eng)-Persent101-Jacobian.wav [US]
enPR: yä-kõ'-bi-un Etymology: Jacobi + -an, after Carl Gustav Jacob Jacobi, a German mathematician of the 19th century. Etymology templates: {{suffix|en|Jacobi|an}} Jacobi + -an Head templates: {{en-adj|-}} Jacobian (not comparable)
  1. Used to specify certain mathematical objects named in honour of C. G. J. Jacobi. Tags: not-comparable Translations (in honor of Jacobi): Jacobi- (German), jacobiano (Spanish)
    Sense id: en-Jacobian-en-adj-yqVX~MD0 Categories (other): English entries with incorrect language header, English terms suffixed with -an Disambiguation of English entries with incorrect language header: 42 39 11 8 Disambiguation of English terms suffixed with -an: 53 34 13
The following are not (yet) sense-disambiguated
Etymology number: 1

Adjective [English]

Forms: more Jacobian [comparative], most Jacobian [superlative]
Etymology: Jacob + -ian Etymology templates: {{suf|en|Jacob|ian}} Jacob + -ian Head templates: {{en-adj}} Jacobian (comparative more Jacobian, superlative most Jacobian)
  1. Of or relating to the biblical Jacob. Synonyms: Jacobic
    Sense id: en-Jacobian-en-adj-SqSaU0pC Categories (other): English entries with incorrect language header, English entries with language name categories using raw markup, English terms suffixed with -ian Disambiguation of English entries with incorrect language header: 42 39 11 8 Disambiguation of English entries with language name categories using raw markup: 30 45 18 6 Disambiguation of English terms suffixed with -ian: 31 43 20 6
The following are not (yet) sense-disambiguated
Etymology number: 2

Noun [English]

IPA: /jɑːˈkəʊ.bi.ən/, /d͡ʒəˈkoʊ.bi.ən/ Audio: LL-Q1860 (eng)-Persent101-Jacobian.wav [US] Forms: Jacobians [plural]
enPR: yä-kõ'-bi-un Etymology: Jacobi + -an, after Carl Gustav Jacob Jacobi, a German mathematician of the 19th century. Etymology templates: {{suffix|en|Jacobi|an}} Jacobi + -an Head templates: {{en-noun}} Jacobian (plural Jacobians)
  1. (calculus) A Jacobian matrix or its associated operator. Categories (topical): Calculus Translations (Jacobian matrix): Jacobi-Matrix [feminine] (German), Funktionalmatrix [feminine] (German), Ableitungsmatrix [feminine] (German), מטריצת יעקובי (matrítzat ya'akóbi) [feminine] (Hebrew), matriz jacobiana [feminine] (Spanish)
    Sense id: en-Jacobian-en-noun-BSwHBgdS Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 42 39 11 8 Topics: calculus, mathematics, sciences Disambiguation of 'Jacobian matrix': 83 17
  2. (calculus) The determinant of such a matrix. Categories (topical): Calculus
    Sense id: en-Jacobian-en-noun-MTDOOUma Topics: calculus, mathematics, sciences
The following are not (yet) sense-disambiguated
Translations (the determinant of the Jacobian matrix): Jacobi-Determinante [feminine] (German), Funktionaldeterminante [feminine] (German), יעקוביאן (ya'akobián) [masculine] (Hebrew), determinante jacobiano [masculine] (Spanish), jacobiano [masculine] (Spanish)
Etymology number: 1 Disambiguation of 'the determinant of the Jacobian matrix': 55 45

Inflected forms

Alternative forms

Download JSON data for Jacobian meaning in All languages combined (6.9kB)

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          "_dis1": "83 17",
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    {
      "_dis1": "55 45",
      "code": "de",
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      "sense": "the determinant of the Jacobian matrix",
      "tags": [
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      "code": "es",
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      "code": "de",
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      "sense": "Jacobian matrix",
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        "feminine"
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      "code": "he",
      "lang": "Hebrew",
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      "sense": "Jacobian matrix",
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        "feminine"
      ],
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    },
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      "code": "es",
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        "feminine"
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    },
    {
      "code": "de",
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      "sense": "the determinant of the Jacobian matrix",
      "tags": [
        "feminine"
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    {
      "code": "de",
      "lang": "German",
      "sense": "the determinant of the Jacobian matrix",
      "tags": [
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    {
      "code": "he",
      "lang": "Hebrew",
      "roman": "ya'akobián",
      "sense": "the determinant of the Jacobian matrix",
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      ],
      "word": "יעקוביאן"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "the determinant of the Jacobian matrix",
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        "masculine"
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      "word": "determinante jacobiano"
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    {
      "code": "es",
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      "sense": "the determinant of the Jacobian matrix",
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    "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"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.