"canonical form" meaning in All languages combined

See canonical form on Wiktionary

Noun [English]

Forms: canonical forms [plural]
Head templates: {{en-noun|~}} canonical form (countable and uncountable, plural canonical forms)
  1. (mathematics, computing) A standard or normal presentation of a mathematical entity or a text string, etc. Tags: countable, uncountable Translations (standard or normal presentation of a mathematical entity): kanonický tvar [masculine] (Czech), kanoninen muoto (Finnish), normaalimuoto (Finnish), forme canonique [feminine] (French), Normalform [feminine] (German), postać kanoniczna [feminine] (Polish), forma canônica [feminine] (Portuguese), канони́ческая фо́рма (kanoníčeskaja fórma) [feminine] (Russian)
    Sense id: en-canonical_form-en-noun-5T9M0ddJ Categories (other): Computing, Mathematics Topics: computing, engineering, mathematics, natural-sciences, physical-sciences, sciences Disambiguation of 'standard or normal presentation of a mathematical entity': 89 4 6
  2. (physical chemistry) Any of a set of representations of the resonance structure of a molecule each of which contributes to the real structure; a contributing structure. Tags: countable, physical, uncountable
    Sense id: en-canonical_form-en-noun-gOVmiuYE Categories (other): Physical chemistry Topics: chemistry, natural-sciences, physical-sciences
  3. (linguistics, rare) Synonym of dictionary form Tags: countable, rare, uncountable Synonyms: dictionary form [synonym, synonym-of], normal form [mathematics, sciences], standard form [mathematics, sciences], citation form [linguistics, human-sciences, sciences], dictionary form [linguistics, human-sciences, sciences], basic form [linguistics, human-sciences, sciences] Related terms: headword [linguistics, human-sciences, sciences], lemma [linguistics, human-sciences, sciences]
    Sense id: en-canonical_form-en-noun-wUtg8Xz3 Categories (other): Linguistics, English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Czech translations, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Polish translations, Terms with Portuguese translations, Terms with Russian translations, Chemical notation Disambiguation of English entries with incorrect language header: 17 15 68 Disambiguation of Entries with translation boxes: 6 13 82 Disambiguation of Pages with 1 entry: 10 12 77 Disambiguation of Pages with entries: 11 14 75 Disambiguation of Terms with Czech translations: 13 15 72 Disambiguation of Terms with Finnish translations: 8 15 77 Disambiguation of Terms with French translations: 9 13 79 Disambiguation of Terms with German translations: 8 15 77 Disambiguation of Terms with Polish translations: 9 13 78 Disambiguation of Terms with Portuguese translations: 12 19 69 Disambiguation of Terms with Russian translations: 7 12 81 Disambiguation of Chemical notation: 24 24 53 Topics: human-sciences, linguistics, sciences

Inflected forms

{
  "forms": [
    {
      "form": "canonical forms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
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      "expansion": "canonical form (countable and uncountable, plural canonical forms)",
      "name": "en-noun"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "langcode": "en",
          "name": "Computing",
          "orig": "en:Computing",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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              442,
              456
            ],
            [
              442,
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          ],
          "text": "A canonical form is an element of a set of representatives of equivalence classes of forms such that there is a function or procedure which projects every element of each equivalence class onto that one element, the canonical form of that equivalence class. The canonical form is expected to be simpler than the rest of the forms in some way. For example, for cubic polynomials acted upon by the group of translations along the abscissa, the canonical forms are cubic polynomials without a quadratic term.",
          "type": "example"
        }
      ],
      "glosses": [
        "A standard or normal presentation of a mathematical entity or a text string, etc."
      ],
      "id": "en-canonical_form-en-noun-5T9M0ddJ",
      "links": [
        [
          "mathematics",
          "mathematics"
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        [
          "computing",
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        [
          "standard",
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        [
          "normal",
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        [
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          "presentation"
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      ],
      "raw_glosses": [
        "(mathematics, computing) A standard or normal presentation of a mathematical entity or a text string, etc."
      ],
      "tags": [
        "countable",
        "uncountable"
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      "topics": [
        "computing",
        "engineering",
        "mathematics",
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      "translations": [
        {
          "_dis1": "89 4 6",
          "code": "cs",
          "lang": "Czech",
          "sense": "standard or normal presentation of a mathematical entity",
          "tags": [
            "masculine"
          ],
          "word": "kanonický tvar"
        },
        {
          "_dis1": "89 4 6",
          "code": "fi",
          "lang": "Finnish",
          "sense": "standard or normal presentation of a mathematical entity",
          "word": "kanoninen muoto"
        },
        {
          "_dis1": "89 4 6",
          "code": "fi",
          "lang": "Finnish",
          "sense": "standard or normal presentation of a mathematical entity",
          "word": "normaalimuoto"
        },
        {
          "_dis1": "89 4 6",
          "code": "fr",
          "lang": "French",
          "sense": "standard or normal presentation of a mathematical entity",
          "tags": [
            "feminine"
          ],
          "word": "forme canonique"
        },
        {
          "_dis1": "89 4 6",
          "code": "de",
          "lang": "German",
          "sense": "standard or normal presentation of a mathematical entity",
          "tags": [
            "feminine"
          ],
          "word": "Normalform"
        },
        {
          "_dis1": "89 4 6",
          "code": "pl",
          "lang": "Polish",
          "sense": "standard or normal presentation of a mathematical entity",
          "tags": [
            "feminine"
          ],
          "word": "postać kanoniczna"
        },
        {
          "_dis1": "89 4 6",
          "code": "pt",
          "lang": "Portuguese",
          "sense": "standard or normal presentation of a mathematical entity",
          "tags": [
            "feminine"
          ],
          "word": "forma canônica"
        },
        {
          "_dis1": "89 4 6",
          "code": "ru",
          "lang": "Russian",
          "roman": "kanoníčeskaja fórma",
          "sense": "standard or normal presentation of a mathematical entity",
          "tags": [
            "feminine"
          ],
          "word": "канони́ческая фо́рма"
        }
      ]
    },
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          "langcode": "en",
          "name": "Physical chemistry",
          "orig": "en:Physical chemistry",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "Any of a set of representations of the resonance structure of a molecule each of which contributes to the real structure; a contributing structure."
      ],
      "id": "en-canonical_form-en-noun-gOVmiuYE",
      "links": [
        [
          "physical chemistry",
          "physical chemistry"
        ],
        [
          "representation",
          "representation"
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        [
          "resonance",
          "resonance"
        ],
        [
          "structure",
          "structure"
        ],
        [
          "molecule",
          "molecule"
        ],
        [
          "contributing structure",
          "contributing structure"
        ]
      ],
      "raw_glosses": [
        "(physical chemistry) Any of a set of representations of the resonance structure of a molecule each of which contributes to the real structure; a contributing structure."
      ],
      "tags": [
        "countable",
        "physical",
        "uncountable"
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      "topics": [
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          "langcode": "en",
          "name": "Linguistics",
          "orig": "en:Linguistics",
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          "source": "w"
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          "_dis": "17 15 68",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w+disamb"
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          "_dis": "6 13 82",
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          "_dis": "13 15 72",
          "kind": "other",
          "name": "Terms with Czech translations",
          "parents": [],
          "source": "w+disamb"
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          "_dis": "8 15 77",
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w+disamb"
        },
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          "_dis": "9 13 79",
          "kind": "other",
          "name": "Terms with French translations",
          "parents": [],
          "source": "w+disamb"
        },
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          "_dis": "8 15 77",
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "9 13 78",
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w+disamb"
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          "_dis": "12 19 69",
          "kind": "other",
          "name": "Terms with Portuguese translations",
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          "source": "w+disamb"
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          "_dis": "24 24 53",
          "kind": "other",
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          "name": "Chemical notation",
          "orig": "en:Chemical notation",
          "parents": [],
          "source": "w+disamb"
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      "glosses": [
        "Synonym of dictionary form"
      ],
      "id": "en-canonical_form-en-noun-wUtg8Xz3",
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        "(linguistics, rare) Synonym of dictionary form"
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          "_dis1": "33 12 54",
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          "word": "lemma"
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      "synonyms": [
        {
          "tags": [
            "synonym",
            "synonym-of"
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          "word": "dictionary form"
        },
        {
          "_dis1": "35 13 52",
          "topics": [
            "mathematics",
            "sciences"
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          "word": "normal form"
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          "_dis1": "35 13 52",
          "topics": [
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            "sciences"
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          "word": "standard form"
        },
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          "_dis1": "35 13 52",
          "topics": [
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            "human-sciences",
            "sciences"
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          "word": "citation form"
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          "_dis1": "35 13 52",
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          "_dis1": "35 13 52",
          "topics": [
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            "sciences"
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      "topics": [
        "human-sciences",
        "linguistics",
        "sciences"
      ]
    }
  ],
  "word": "canonical form"
}
{
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    "English multiword terms",
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    "Terms with Finnish translations",
    "Terms with French translations",
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    "Terms with Polish translations",
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          "text": "A canonical form is an element of a set of representatives of equivalence classes of forms such that there is a function or procedure which projects every element of each equivalence class onto that one element, the canonical form of that equivalence class. The canonical form is expected to be simpler than the rest of the forms in some way. For example, for cubic polynomials acted upon by the group of translations along the abscissa, the canonical forms are cubic polynomials without a quadratic term.",
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        "(mathematics, computing) A standard or normal presentation of a mathematical entity or a text string, etc."
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          "molecule",
          "molecule"
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          "contributing structure",
          "contributing structure"
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        "(physical chemistry) Any of a set of representations of the resonance structure of a molecule each of which contributes to the real structure; a contributing structure."
      ],
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        "physical",
        "uncountable"
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  "synonyms": [
    {
      "topics": [
        "mathematics",
        "sciences"
      ],
      "word": "normal form"
    },
    {
      "topics": [
        "mathematics",
        "sciences"
      ],
      "word": "standard form"
    },
    {
      "topics": [
        "linguistics",
        "human-sciences",
        "sciences"
      ],
      "word": "citation form"
    },
    {
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        "linguistics",
        "human-sciences",
        "sciences"
      ],
      "word": "dictionary form"
    },
    {
      "topics": [
        "linguistics",
        "human-sciences",
        "sciences"
      ],
      "word": "basic form"
    }
  ],
  "translations": [
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "standard or normal presentation of a mathematical entity",
      "tags": [
        "masculine"
      ],
      "word": "kanonický tvar"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "standard or normal presentation of a mathematical entity",
      "word": "kanoninen muoto"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "standard or normal presentation of a mathematical entity",
      "word": "normaalimuoto"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "standard or normal presentation of a mathematical entity",
      "tags": [
        "feminine"
      ],
      "word": "forme canonique"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "standard or normal presentation of a mathematical entity",
      "tags": [
        "feminine"
      ],
      "word": "Normalform"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "standard or normal presentation of a mathematical entity",
      "tags": [
        "feminine"
      ],
      "word": "postać kanoniczna"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "standard or normal presentation of a mathematical entity",
      "tags": [
        "feminine"
      ],
      "word": "forma canônica"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "kanoníčeskaja fórma",
      "sense": "standard or normal presentation of a mathematical entity",
      "tags": [
        "feminine"
      ],
      "word": "канони́ческая фо́рма"
    }
  ],
  "word": "canonical form"
}

Download raw JSONL data for canonical form meaning in All languages combined (5.0kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-05-21 from the enwiktionary dump dated 2025-05-01 using wiktextract (89ebc88 and e74c913). 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.