See canonical form in All languages combined, or Wiktionary
Download JSON data for canonical form meaning in English (5.6kB)
{
"forms": [
{
"form": "canonical forms",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "canonical form (plural canonical forms)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Computing",
"orig": "en:Computing",
"parents": [
"Technology",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Mathematics",
"orig": "en:Mathematics",
"parents": [
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"examples": [
{
"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."
}
],
"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"
],
[
"computing",
"computing#Noun"
],
[
"standard",
"standard"
],
[
"normal",
"normal"
],
[
"presentation",
"presentation"
]
],
"raw_glosses": [
"(mathematics, computing) A standard or normal presentation of a mathematical entity or a text string, etc."
],
"topics": [
"computing",
"engineering",
"mathematics",
"natural-sciences",
"physical-sciences",
"sciences"
],
"translations": [
{
"_dis1": "92 4 4",
"code": "cs",
"lang": "Czech",
"sense": "standard or normal presentation of a mathematical entity",
"tags": [
"masculine"
],
"word": "kanonický tvar"
},
{
"_dis1": "92 4 4",
"code": "fi",
"lang": "Finnish",
"sense": "standard or normal presentation of a mathematical entity",
"word": "kanoninen muoto"
},
{
"_dis1": "92 4 4",
"code": "fi",
"lang": "Finnish",
"sense": "standard or normal presentation of a mathematical entity",
"word": "normaalimuoto"
},
{
"_dis1": "92 4 4",
"code": "fr",
"lang": "French",
"sense": "standard or normal presentation of a mathematical entity",
"tags": [
"feminine"
],
"word": "forme canonique"
},
{
"_dis1": "92 4 4",
"code": "de",
"lang": "German",
"sense": "standard or normal presentation of a mathematical entity",
"tags": [
"feminine"
],
"word": "Normalform"
},
{
"_dis1": "92 4 4",
"code": "pl",
"lang": "Polish",
"sense": "standard or normal presentation of a mathematical entity",
"tags": [
"feminine"
],
"word": "postać kanoniczna"
},
{
"_dis1": "92 4 4",
"code": "pt",
"lang": "Portuguese",
"sense": "standard or normal presentation of a mathematical entity",
"tags": [
"feminine"
],
"word": "forma canônica"
},
{
"_dis1": "92 4 4",
"code": "ru",
"lang": "Russian",
"roman": "kanoníčeskaja fórma",
"sense": "standard or normal presentation of a mathematical entity",
"tags": [
"feminine"
],
"word": "канони́ческая фо́рма"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Physical chemistry",
"orig": "en:Physical chemistry",
"parents": [
"Chemistry",
"Physics",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "25 42 33",
"kind": "other",
"langcode": "en",
"name": "Chemical notation",
"orig": "en:Chemical notation",
"parents": [],
"source": "w+disamb"
}
],
"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"
],
[
"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": [
"physical"
],
"topics": [
"chemistry",
"natural-sciences",
"physical-sciences"
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Linguistics",
"orig": "en:Linguistics",
"parents": [
"Language",
"Social sciences",
"Communication",
"Sciences",
"Society",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "13 16 71",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
}
],
"glosses": [
"Synonym of dictionary form"
],
"id": "en-canonical_form-en-noun-wUtg8Xz3",
"links": [
[
"linguistics",
"linguistics"
],
[
"dictionary form",
"dictionary form#English"
]
],
"raw_glosses": [
"(linguistics, rare) Synonym of dictionary form"
],
"related": [
{
"_dis1": "22 17 60",
"topics": [
"linguistics",
"human-sciences",
"sciences"
],
"word": "headword"
},
{
"_dis1": "22 17 60",
"topics": [
"linguistics",
"human-sciences",
"sciences"
],
"word": "lemma"
}
],
"synonyms": [
{
"tags": [
"synonym",
"synonym-of"
],
"word": "dictionary form"
},
{
"_dis1": "23 18 60",
"topics": [
"mathematics",
"sciences"
],
"word": "normal form"
},
{
"_dis1": "23 18 60",
"topics": [
"mathematics",
"sciences"
],
"word": "standard form"
},
{
"_dis1": "23 18 60",
"topics": [
"linguistics",
"human-sciences",
"sciences"
],
"word": "citation form"
},
{
"_dis1": "23 18 60",
"topics": [
"linguistics",
"human-sciences",
"sciences"
],
"word": "dictionary form"
},
{
"_dis1": "23 18 60",
"topics": [
"linguistics",
"human-sciences",
"sciences"
],
"word": "basic form"
}
],
"tags": [
"rare"
],
"topics": [
"human-sciences",
"linguistics",
"sciences"
]
}
],
"word": "canonical form"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"en:Chemical notation"
],
"forms": [
{
"form": "canonical forms",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "canonical form (plural canonical forms)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"topics": [
"linguistics",
"human-sciences",
"sciences"
],
"word": "headword"
},
{
"topics": [
"linguistics",
"human-sciences",
"sciences"
],
"word": "lemma"
}
],
"senses": [
{
"categories": [
"en:Computing",
"en:Mathematics"
],
"examples": [
{
"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."
}
],
"glosses": [
"A standard or normal presentation of a mathematical entity or a text string, etc."
],
"links": [
[
"mathematics",
"mathematics"
],
[
"computing",
"computing#Noun"
],
[
"standard",
"standard"
],
[
"normal",
"normal"
],
[
"presentation",
"presentation"
]
],
"raw_glosses": [
"(mathematics, computing) A standard or normal presentation of a mathematical entity or a text string, etc."
],
"topics": [
"computing",
"engineering",
"mathematics",
"natural-sciences",
"physical-sciences",
"sciences"
]
},
{
"categories": [
"en:Physical chemistry"
],
"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."
],
"links": [
[
"physical chemistry",
"physical chemistry"
],
[
"representation",
"representation"
],
[
"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": [
"physical"
],
"topics": [
"chemistry",
"natural-sciences",
"physical-sciences"
]
},
{
"categories": [
"English terms with rare senses",
"en:Linguistics"
],
"glosses": [
"Synonym of dictionary form"
],
"links": [
[
"linguistics",
"linguistics"
],
[
"dictionary form",
"dictionary form#English"
]
],
"raw_glosses": [
"(linguistics, rare) Synonym of dictionary form"
],
"synonyms": [
{
"tags": [
"synonym",
"synonym-of"
],
"word": "dictionary form"
}
],
"tags": [
"rare"
],
"topics": [
"human-sciences",
"linguistics",
"sciences"
]
}
],
"synonyms": [
{
"topics": [
"mathematics",
"sciences"
],
"word": "normal form"
},
{
"topics": [
"mathematics",
"sciences"
],
"word": "standard form"
},
{
"topics": [
"linguistics",
"human-sciences",
"sciences"
],
"word": "citation form"
},
{
"topics": [
"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"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 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.
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