See group theory on Wiktionary
{
"forms": [
{
"form": "group theories",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "-",
"2": "+"
},
"expansion": "group theory (usually uncountable, plural group theories)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"_dis1": "54 46",
"word": "group theoretical"
}
],
"senses": [
{
"categories": [
{
"_dis": "80 20",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "78 22",
"kind": "other",
"name": "Entries with translation boxes",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "77 23",
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "90 10",
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "77 23",
"kind": "other",
"name": "Terms with Finnish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "76 24",
"kind": "other",
"name": "Terms with French translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "76 24",
"kind": "other",
"name": "Terms with German translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "72 28",
"kind": "other",
"name": "Terms with Hindi translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "66 34",
"kind": "other",
"name": "Terms with Hungarian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "77 23",
"kind": "other",
"name": "Terms with Icelandic translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "80 20",
"kind": "other",
"name": "Terms with Italian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "80 20",
"kind": "other",
"name": "Terms with Japanese translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "77 23",
"kind": "other",
"name": "Terms with Kazakh translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "77 23",
"kind": "other",
"name": "Terms with Korean translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "80 20",
"kind": "other",
"name": "Terms with Latin translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "77 23",
"kind": "other",
"name": "Terms with Malay translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "73 27",
"kind": "other",
"name": "Terms with Mandarin translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "77 23",
"kind": "other",
"name": "Terms with Portuguese translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "77 23",
"kind": "other",
"name": "Terms with Serbo-Croatian translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "83 17",
"kind": "other",
"name": "Terms with Spanish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "78 22",
"kind": "other",
"name": "Terms with Swedish translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "77 23",
"kind": "other",
"name": "Terms with Tamil translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "77 23",
"kind": "other",
"name": "Terms with Thai translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "77 23",
"kind": "other",
"name": "Terms with Vietnamese translations",
"parents": [],
"source": "w+disamb"
}
],
"examples": [
{
"text": "2007, Hedley G. Dimock, Rachel R. Kass, How to Observe Your Group, Captus Press, 4th Edition, page 3,\nAfter you have read over the seven group theories you'll be clearer about what makes the most sense to you for the groups with which you want to use your observation skills."
},
{
"text": "2012, Stéphanie Delaune, Steve Kremer, Daniel Pasaila, Security Protocols, Constraint Systems, and Group Theories, Bernhard Gramlich, Dale Miller, Ulrike Sattler (editors), Automated Reasoning: 6th International Joint Conference, Springer, LNAI 7364, page 165,\nIn particular we study the case where cryptographic primitives are modelled using a group theory. Group theories are a special case of monoidal theories which have been extensively studied by F. Baader and W. Nutt [20,6] who have provided a complete survey of unification in these theories. Group theories include theories for exclusive or and Abelian groups."
}
],
"glosses": [
"Used other than figuratively or idiomatically: see group, theory; a theory about (particular kinds of) groups."
],
"id": "en-group_theory-en-noun-GYztSVYE",
"links": [
[
"group",
"group#English"
],
[
"theory",
"theory#English"
]
],
"tags": [
"uncountable",
"usually"
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Algebra",
"orig": "en:Algebra",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "36 64",
"kind": "topical",
"langcode": "en",
"name": "Group theory",
"orig": "en:Group theory",
"parents": [
"Algebra",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w+disamb"
}
],
"examples": [
{
"ref": "1968, Arthur P. Cracknell, editor, Applied Group Theory: Selected Readings in Physics, Pergamon Press, page ix:",
"text": "THE feeling seems to be developing among physicists that group theory can be used as and when required, as many other techniques already are, without its being necessary for everyone to study all the whys and wherefores of the mathematical details involved.",
"type": "quote"
},
{
"text": "1995, Jean Brocas, Chapter 4: The Use of Group Theory in the Study of Non-Rigid Molecules, Danail Bonchev, D. H. Rouvray (editors), Chemical Group Theory: Techniques and Applications, Gordon and Breach, page 133,\nPlanar cis and/or trans internal rotation tunnelling have been discussed in terms of group theory, leading to theoretical spectra which have been compared to experimental work."
}
],
"glosses": [
"The mathematical theory of groups."
],
"id": "en-group_theory-en-noun-tC0ks1kF",
"links": [
[
"algebra",
"algebra"
],
[
"group",
"group"
]
],
"raw_glosses": [
"(algebra, uncountable) The mathematical theory of groups."
],
"tags": [
"uncountable",
"usually"
],
"topics": [
"algebra",
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "8 92",
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "mathematical theory of groups",
"word": "群論"
},
{
"_dis1": "8 92",
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "qúnlùn",
"sense": "mathematical theory of groups",
"word": "群论"
},
{
"_dis1": "8 92",
"code": "fi",
"lang": "Finnish",
"sense": "mathematical theory of groups",
"word": "ryhmäteoria"
},
{
"_dis1": "8 92",
"code": "fr",
"lang": "French",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "théorie des groupes"
},
{
"_dis1": "8 92",
"code": "de",
"lang": "German",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "Gruppentheorie"
},
{
"_dis1": "8 92",
"code": "hi",
"lang": "Hindi",
"roman": "samūh siddhānt",
"sense": "mathematical theory of groups",
"word": "समूह सिद्धांत"
},
{
"_dis1": "8 92",
"code": "hu",
"lang": "Hungarian",
"sense": "mathematical theory of groups",
"word": "csoportelmélet"
},
{
"_dis1": "8 92",
"code": "is",
"lang": "Icelandic",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "grúpufræði"
},
{
"_dis1": "8 92",
"code": "it",
"lang": "Italian",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "teoria dei grupp"
},
{
"_dis1": "8 92",
"alt": "ぐんろん",
"code": "ja",
"lang": "Japanese",
"roman": "gunron",
"sense": "mathematical theory of groups",
"word": "群論"
},
{
"_dis1": "8 92",
"code": "kk",
"lang": "Kazakh",
"roman": "toptar teoriäsy",
"sense": "mathematical theory of groups",
"word": "топтар теориясы"
},
{
"_dis1": "8 92",
"alt": "群論",
"code": "ko",
"lang": "Korean",
"roman": "gullon",
"sense": "mathematical theory of groups",
"word": "군론"
},
{
"_dis1": "8 92",
"code": "la",
"lang": "Latin",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "theoria catervarum"
},
{
"_dis1": "8 92",
"code": "ms",
"lang": "Malay",
"sense": "mathematical theory of groups",
"word": "teori kumpulan"
},
{
"_dis1": "8 92",
"code": "pt",
"lang": "Portuguese",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "teoria dos grupos"
},
{
"_dis1": "8 92",
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "teorija grupa"
},
{
"_dis1": "8 92",
"code": "es",
"lang": "Spanish",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "teoría de grupos"
},
{
"_dis1": "8 92",
"code": "sv",
"lang": "Swedish",
"sense": "mathematical theory of groups",
"tags": [
"common-gender"
],
"word": "gruppteori"
},
{
"_dis1": "8 92",
"code": "ta",
"lang": "Tamil",
"roman": "kulak kōṭpāṭu",
"sense": "mathematical theory of groups",
"word": "குலக் கோட்பாடு"
},
{
"_dis1": "8 92",
"code": "th",
"lang": "Thai",
"sense": "mathematical theory of groups",
"word": "ทฤษฎีกรุป"
},
{
"_dis1": "8 92",
"alt": "理說𩁱",
"code": "vi",
"lang": "Vietnamese",
"sense": "mathematical theory of groups",
"word": "lý thuyết nhóm"
}
]
}
],
"synonyms": [
{
"_dis1": "54 46",
"word": "theory of groups"
}
],
"wikipedia": [
"group theory"
],
"word": "group theory"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"English uncountable nouns",
"Entries with translation boxes",
"Pages with 1 entry",
"Pages with entries",
"Terms with Finnish translations",
"Terms with French translations",
"Terms with German translations",
"Terms with Hindi translations",
"Terms with Hungarian translations",
"Terms with Icelandic translations",
"Terms with Italian translations",
"Terms with Japanese translations",
"Terms with Kazakh translations",
"Terms with Korean translations",
"Terms with Latin translations",
"Terms with Malay translations",
"Terms with Mandarin translations",
"Terms with Portuguese translations",
"Terms with Serbo-Croatian translations",
"Terms with Spanish translations",
"Terms with Swedish translations",
"Terms with Tamil translations",
"Terms with Thai translations",
"Terms with Vietnamese translations",
"en:Group theory"
],
"forms": [
{
"form": "group theories",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "-",
"2": "+"
},
"expansion": "group theory (usually uncountable, plural group theories)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "group theoretical"
}
],
"senses": [
{
"examples": [
{
"text": "2007, Hedley G. Dimock, Rachel R. Kass, How to Observe Your Group, Captus Press, 4th Edition, page 3,\nAfter you have read over the seven group theories you'll be clearer about what makes the most sense to you for the groups with which you want to use your observation skills."
},
{
"text": "2012, Stéphanie Delaune, Steve Kremer, Daniel Pasaila, Security Protocols, Constraint Systems, and Group Theories, Bernhard Gramlich, Dale Miller, Ulrike Sattler (editors), Automated Reasoning: 6th International Joint Conference, Springer, LNAI 7364, page 165,\nIn particular we study the case where cryptographic primitives are modelled using a group theory. Group theories are a special case of monoidal theories which have been extensively studied by F. Baader and W. Nutt [20,6] who have provided a complete survey of unification in these theories. Group theories include theories for exclusive or and Abelian groups."
}
],
"glosses": [
"Used other than figuratively or idiomatically: see group, theory; a theory about (particular kinds of) groups."
],
"links": [
[
"group",
"group#English"
],
[
"theory",
"theory#English"
]
],
"tags": [
"uncountable",
"usually"
]
},
{
"categories": [
"English terms with quotations",
"English uncountable nouns",
"en:Algebra"
],
"examples": [
{
"ref": "1968, Arthur P. Cracknell, editor, Applied Group Theory: Selected Readings in Physics, Pergamon Press, page ix:",
"text": "THE feeling seems to be developing among physicists that group theory can be used as and when required, as many other techniques already are, without its being necessary for everyone to study all the whys and wherefores of the mathematical details involved.",
"type": "quote"
},
{
"text": "1995, Jean Brocas, Chapter 4: The Use of Group Theory in the Study of Non-Rigid Molecules, Danail Bonchev, D. H. Rouvray (editors), Chemical Group Theory: Techniques and Applications, Gordon and Breach, page 133,\nPlanar cis and/or trans internal rotation tunnelling have been discussed in terms of group theory, leading to theoretical spectra which have been compared to experimental work."
}
],
"glosses": [
"The mathematical theory of groups."
],
"links": [
[
"algebra",
"algebra"
],
[
"group",
"group"
]
],
"raw_glosses": [
"(algebra, uncountable) The mathematical theory of groups."
],
"tags": [
"uncountable",
"usually"
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
}
],
"synonyms": [
{
"word": "theory of groups"
}
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "mathematical theory of groups",
"word": "群論"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "qúnlùn",
"sense": "mathematical theory of groups",
"word": "群论"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "mathematical theory of groups",
"word": "ryhmäteoria"
},
{
"code": "fr",
"lang": "French",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "théorie des groupes"
},
{
"code": "de",
"lang": "German",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "Gruppentheorie"
},
{
"code": "hi",
"lang": "Hindi",
"roman": "samūh siddhānt",
"sense": "mathematical theory of groups",
"word": "समूह सिद्धांत"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "mathematical theory of groups",
"word": "csoportelmélet"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "grúpufræði"
},
{
"code": "it",
"lang": "Italian",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "teoria dei grupp"
},
{
"alt": "ぐんろん",
"code": "ja",
"lang": "Japanese",
"roman": "gunron",
"sense": "mathematical theory of groups",
"word": "群論"
},
{
"code": "kk",
"lang": "Kazakh",
"roman": "toptar teoriäsy",
"sense": "mathematical theory of groups",
"word": "топтар теориясы"
},
{
"alt": "群論",
"code": "ko",
"lang": "Korean",
"roman": "gullon",
"sense": "mathematical theory of groups",
"word": "군론"
},
{
"code": "la",
"lang": "Latin",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "theoria catervarum"
},
{
"code": "ms",
"lang": "Malay",
"sense": "mathematical theory of groups",
"word": "teori kumpulan"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "teoria dos grupos"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "teorija grupa"
},
{
"code": "es",
"lang": "Spanish",
"sense": "mathematical theory of groups",
"tags": [
"feminine"
],
"word": "teoría de grupos"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "mathematical theory of groups",
"tags": [
"common-gender"
],
"word": "gruppteori"
},
{
"code": "ta",
"lang": "Tamil",
"roman": "kulak kōṭpāṭu",
"sense": "mathematical theory of groups",
"word": "குலக் கோட்பாடு"
},
{
"code": "th",
"lang": "Thai",
"sense": "mathematical theory of groups",
"word": "ทฤษฎีกรุป"
},
{
"alt": "理說𩁱",
"code": "vi",
"lang": "Vietnamese",
"sense": "mathematical theory of groups",
"word": "lý thuyết nhóm"
}
],
"wikipedia": [
"group theory"
],
"word": "group theory"
}
Download raw JSONL data for group theory meaning in All languages combined (6.3kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 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.