See canonical form in All languages combined, or Wiktionary
{
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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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{
"_dis1": "92 2 6",
"code": "cs",
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},
{
"_dis1": "92 2 6",
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"sense": "standard or normal presentation of a mathematical entity",
"word": "kanoninen muoto"
},
{
"_dis1": "92 2 6",
"code": "fi",
"lang": "Finnish",
"sense": "standard or normal presentation of a mathematical entity",
"word": "normaalimuoto"
},
{
"_dis1": "92 2 6",
"code": "fr",
"lang": "French",
"sense": "standard or normal presentation of a mathematical entity",
"tags": [
"feminine"
],
"word": "forme canonique"
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{
"_dis1": "92 2 6",
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"lang": "German",
"sense": "standard or normal presentation of a mathematical entity",
"tags": [
"feminine"
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{
"_dis1": "92 2 6",
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"sense": "standard or normal presentation of a mathematical entity",
"tags": [
"feminine"
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{
"_dis1": "92 2 6",
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"sense": "standard or normal presentation of a mathematical entity",
"tags": [
"feminine"
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"word": "forma canônica"
},
{
"_dis1": "92 2 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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"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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{
"tags": [
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"word": "dictionary form"
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{
"_dis1": "29 14 57",
"topics": [
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"word": "normal form"
},
{
"_dis1": "29 14 57",
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{
"_dis1": "29 14 57",
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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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"(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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{
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{
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"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 English (4.9kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.