See monoid on Wiktionary
Download JSON data for monoid meaning in All languages combined (8.0kB)
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "mono",
"3": "oid"
},
"expansion": "mono- + -oid",
"name": "confix"
}
],
"etymology_text": "mono- + -oid",
"forms": [
{
"form": "monoids",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "monoid (plural monoids)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Algebra",
"orig": "en:Algebra",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Programming",
"orig": "en:Programming",
"parents": [
"Computing",
"Software engineering",
"Technology",
"Computer science",
"Engineering",
"Software",
"All topics",
"Sciences",
"Applied sciences",
"Media",
"Fundamental",
"Communication"
],
"source": "w"
},
{
"_dis": "49 51",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "46 54",
"kind": "other",
"name": "English terms prefixed with mono-",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "55 45",
"kind": "other",
"name": "English terms suffixed with -oid",
"parents": [],
"source": "w+disamb"
}
],
"derived": [
{
"word": "bimonoid"
},
{
"word": "comonoid"
},
{
"word": "pseudomonoid"
},
{
"word": "submonoid"
}
],
"examples": [
{
"ref": "2023, Michael Pilquist, Rúnar Bjarnason, Paul Chiusano, Functional programming with Scala, Second edition, Shelter Island: Manning Publications Co",
"text": "Just like any abstraction, a monoid is useful to the extent we can write useful generic code assuming only the capabilities provided by the abstraction.",
"type": "quotation"
}
],
"glosses": [
"A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation."
],
"hypernyms": [
{
"word": "category"
},
{
"word": "semigroup"
}
],
"hyponyms": [
{
"word": "bimonoid"
},
{
"word": "free monoid"
},
{
"word": "group"
}
],
"id": "en-monoid-en-noun-cxmF0n07",
"links": [
[
"algebra",
"algebra"
],
[
"functional programming",
"functional programming"
],
[
"set",
"set"
],
[
"closed",
"closed"
],
[
"associative",
"associative"
],
[
"binary operation",
"binary operation"
],
[
"identity",
"identity"
]
],
"qualifier": "functional programming",
"raw_glosses": [
"(algebra, functional programming) A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation."
],
"related": [
{
"word": "category"
},
{
"word": "groupoid"
},
{
"word": "loop"
},
{
"word": "magma"
},
{
"word": "quasigroup"
}
],
"topics": [
"algebra",
"mathematics",
"sciences"
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "yāobànqún",
"sense": "type of set",
"word": "幺半群"
},
{
"code": "cs",
"lang": "Czech",
"sense": "type of set",
"tags": [
"masculine"
],
"word": "monoid"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "type of set",
"word": "monoidi"
},
{
"code": "fr",
"lang": "French",
"sense": "type of set",
"tags": [
"masculine"
],
"word": "monoïde"
},
{
"code": "de",
"lang": "German",
"sense": "type of set",
"tags": [
"neuter"
],
"word": "Monoid"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "type of set",
"tags": [
"masculine"
],
"word": "einungur"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "type of set",
"tags": [
"feminine"
],
"word": "hálfgrúpa með hlutleysu"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "type of set",
"tags": [
"masculine"
],
"word": "monóide"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "type of set",
"tags": [
"Cyrillic",
"masculine"
],
"word": "моноид"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "type of set",
"tags": [
"Latin",
"masculine"
],
"word": "monoid"
},
{
"code": "es",
"lang": "Spanish",
"sense": "type of set",
"tags": [
"masculine"
],
"word": "monoide"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "type of set",
"tags": [
"common-gender"
],
"word": "monoid"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "type of set",
"word": "birlik"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "type of set",
"word": "monoid"
}
]
}
],
"sounds": [
{
"ipa": "/ˈmɒnɔɪd/"
}
],
"word": "monoid"
}
{
"etymology_templates": [
{
"args": {
"1": "en",
"2": "mono",
"3": "oid"
},
"expansion": "mono- + -oid",
"name": "confix"
}
],
"etymology_text": "mono- + -oid",
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "monoid (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Prosody",
"orig": "en:Prosody",
"parents": [
"Linguistics",
"Language",
"Social sciences",
"Communication",
"Sciences",
"Society",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "49 51",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "46 54",
"kind": "other",
"name": "English terms prefixed with mono-",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "55 45",
"kind": "other",
"name": "English terms suffixed with -oid",
"parents": [],
"source": "w+disamb"
}
],
"glosses": [
"Containing only one kind of metrical foot."
],
"id": "en-monoid-en-adj-xa0CwilL",
"links": [
[
"prosody",
"prosody"
],
[
"metrical foot",
"metrical foot"
]
],
"raw_glosses": [
"(prosody) Containing only one kind of metrical foot."
],
"tags": [
"not-comparable"
],
"topics": [
"human-sciences",
"linguistics",
"phonology",
"prosody",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/ˈmɒnɔɪd/"
}
],
"word": "monoid"
}
{
"forms": [
{
"form": "inanimate",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "cs-ndecl",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "monoid",
"source": "declension",
"tags": [
"nominative",
"singular"
]
},
{
"form": "monoidy",
"source": "declension",
"tags": [
"nominative",
"plural"
]
},
{
"form": "monoidu",
"source": "declension",
"tags": [
"genitive",
"singular"
]
},
{
"form": "monoidů",
"source": "declension",
"tags": [
"genitive",
"plural"
]
},
{
"form": "monoidu",
"source": "declension",
"tags": [
"dative",
"singular"
]
},
{
"form": "monoidům",
"source": "declension",
"tags": [
"dative",
"plural"
]
},
{
"form": "monoid",
"source": "declension",
"tags": [
"accusative",
"singular"
]
},
{
"form": "monoidy",
"source": "declension",
"tags": [
"accusative",
"plural"
]
},
{
"form": "monoide",
"source": "declension",
"tags": [
"singular",
"vocative"
]
},
{
"form": "monoidy",
"source": "declension",
"tags": [
"plural",
"vocative"
]
},
{
"form": "monoidu",
"source": "declension",
"tags": [
"locative",
"singular"
]
},
{
"form": "monoidech",
"source": "declension",
"tags": [
"locative",
"plural"
]
},
{
"form": "monoidem",
"source": "declension",
"tags": [
"instrumental",
"singular"
]
},
{
"form": "monoidy",
"source": "declension",
"tags": [
"instrumental",
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "m-in"
},
"expansion": "monoid m inan",
"name": "cs-noun"
}
],
"inflection_templates": [
{
"args": {
"1": "m"
},
"name": "cs-ndecl"
}
],
"lang": "Czech",
"lang_code": "cs",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "Czech entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "cs",
"name": "Algebra",
"orig": "cs:Algebra",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"monoid"
],
"id": "en-monoid-cs-noun-7~OvaWPF",
"links": [
[
"monoid",
"monoid#English"
]
],
"tags": [
"inanimate",
"masculine"
]
}
],
"sounds": [
{
"ipa": "[ˈmonoɪt]"
}
],
"word": "monoid"
}
{
"forms": [
{
"form": "моноид",
"tags": [
"Cyrillic"
]
}
],
"head_templates": [
{
"args": {
"g": "m"
},
"expansion": "monoid m (Cyrillic spelling моноид)",
"name": "sh-noun"
}
],
"lang": "Serbo-Croatian",
"lang_code": "sh",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "Serbo-Croatian entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
}
],
"glosses": [
"monoid"
],
"id": "en-monoid-sh-noun-7~OvaWPF",
"links": [
[
"monoid",
"monoid#English"
]
],
"tags": [
"masculine"
]
}
],
"word": "monoid"
}
{
"forms": [
{
"form": "inanimate",
"source": "declension",
"tags": [
"table-tags"
]
},
{
"form": "cs-ndecl",
"source": "declension",
"tags": [
"inflection-template"
]
},
{
"form": "monoid",
"source": "declension",
"tags": [
"nominative",
"singular"
]
},
{
"form": "monoidy",
"source": "declension",
"tags": [
"nominative",
"plural"
]
},
{
"form": "monoidu",
"source": "declension",
"tags": [
"genitive",
"singular"
]
},
{
"form": "monoidů",
"source": "declension",
"tags": [
"genitive",
"plural"
]
},
{
"form": "monoidu",
"source": "declension",
"tags": [
"dative",
"singular"
]
},
{
"form": "monoidům",
"source": "declension",
"tags": [
"dative",
"plural"
]
},
{
"form": "monoid",
"source": "declension",
"tags": [
"accusative",
"singular"
]
},
{
"form": "monoidy",
"source": "declension",
"tags": [
"accusative",
"plural"
]
},
{
"form": "monoide",
"source": "declension",
"tags": [
"singular",
"vocative"
]
},
{
"form": "monoidy",
"source": "declension",
"tags": [
"plural",
"vocative"
]
},
{
"form": "monoidu",
"source": "declension",
"tags": [
"locative",
"singular"
]
},
{
"form": "monoidech",
"source": "declension",
"tags": [
"locative",
"plural"
]
},
{
"form": "monoidem",
"source": "declension",
"tags": [
"instrumental",
"singular"
]
},
{
"form": "monoidy",
"source": "declension",
"tags": [
"instrumental",
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "m-in"
},
"expansion": "monoid m inan",
"name": "cs-noun"
}
],
"inflection_templates": [
{
"args": {
"1": "m"
},
"name": "cs-ndecl"
}
],
"lang": "Czech",
"lang_code": "cs",
"pos": "noun",
"senses": [
{
"categories": [
"Czech entries with incorrect language header",
"Czech hard masculine inanimate nouns",
"Czech inanimate nouns",
"Czech lemmas",
"Czech masculine inanimate nouns",
"Czech masculine nouns",
"Czech nouns",
"Czech terms with IPA pronunciation",
"cs:Algebra"
],
"glosses": [
"monoid"
],
"links": [
[
"monoid",
"monoid#English"
]
],
"tags": [
"inanimate",
"masculine"
]
}
],
"sounds": [
{
"ipa": "[ˈmonoɪt]"
}
],
"word": "monoid"
}
{
"categories": [
"English 2-syllable words",
"English adjectives",
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English terms prefixed with mono-",
"English terms suffixed with -oid",
"English terms with IPA pronunciation",
"English uncomparable adjectives"
],
"derived": [
{
"word": "bimonoid"
},
{
"word": "comonoid"
},
{
"word": "pseudomonoid"
},
{
"word": "submonoid"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "mono",
"3": "oid"
},
"expansion": "mono- + -oid",
"name": "confix"
}
],
"etymology_text": "mono- + -oid",
"forms": [
{
"form": "monoids",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "monoid (plural monoids)",
"name": "en-noun"
}
],
"hypernyms": [
{
"word": "category"
},
{
"word": "semigroup"
}
],
"hyponyms": [
{
"word": "bimonoid"
},
{
"word": "free monoid"
},
{
"word": "group"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "category"
},
{
"word": "groupoid"
},
{
"word": "loop"
},
{
"word": "magma"
},
{
"word": "quasigroup"
}
],
"senses": [
{
"categories": [
"English terms with quotations",
"en:Algebra",
"en:Programming"
],
"examples": [
{
"ref": "2023, Michael Pilquist, Rúnar Bjarnason, Paul Chiusano, Functional programming with Scala, Second edition, Shelter Island: Manning Publications Co",
"text": "Just like any abstraction, a monoid is useful to the extent we can write useful generic code assuming only the capabilities provided by the abstraction.",
"type": "quotation"
}
],
"glosses": [
"A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation."
],
"links": [
[
"algebra",
"algebra"
],
[
"functional programming",
"functional programming"
],
[
"set",
"set"
],
[
"closed",
"closed"
],
[
"associative",
"associative"
],
[
"binary operation",
"binary operation"
],
[
"identity",
"identity"
]
],
"qualifier": "functional programming",
"raw_glosses": [
"(algebra, functional programming) A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation."
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/ˈmɒnɔɪd/"
}
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "yāobànqún",
"sense": "type of set",
"word": "幺半群"
},
{
"code": "cs",
"lang": "Czech",
"sense": "type of set",
"tags": [
"masculine"
],
"word": "monoid"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "type of set",
"word": "monoidi"
},
{
"code": "fr",
"lang": "French",
"sense": "type of set",
"tags": [
"masculine"
],
"word": "monoïde"
},
{
"code": "de",
"lang": "German",
"sense": "type of set",
"tags": [
"neuter"
],
"word": "Monoid"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "type of set",
"tags": [
"masculine"
],
"word": "einungur"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "type of set",
"tags": [
"feminine"
],
"word": "hálfgrúpa með hlutleysu"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "type of set",
"tags": [
"masculine"
],
"word": "monóide"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "type of set",
"tags": [
"Cyrillic",
"masculine"
],
"word": "моноид"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "type of set",
"tags": [
"Latin",
"masculine"
],
"word": "monoid"
},
{
"code": "es",
"lang": "Spanish",
"sense": "type of set",
"tags": [
"masculine"
],
"word": "monoide"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "type of set",
"tags": [
"common-gender"
],
"word": "monoid"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "type of set",
"word": "birlik"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "type of set",
"word": "monoid"
}
],
"word": "monoid"
}
{
"categories": [
"English 2-syllable words",
"English adjectives",
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English terms prefixed with mono-",
"English terms suffixed with -oid",
"English terms with IPA pronunciation",
"English uncomparable adjectives"
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "mono",
"3": "oid"
},
"expansion": "mono- + -oid",
"name": "confix"
}
],
"etymology_text": "mono- + -oid",
"head_templates": [
{
"args": {
"1": "-"
},
"expansion": "monoid (not comparable)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"senses": [
{
"categories": [
"en:Prosody"
],
"glosses": [
"Containing only one kind of metrical foot."
],
"links": [
[
"prosody",
"prosody"
],
[
"metrical foot",
"metrical foot"
]
],
"raw_glosses": [
"(prosody) Containing only one kind of metrical foot."
],
"tags": [
"not-comparable"
],
"topics": [
"human-sciences",
"linguistics",
"phonology",
"prosody",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/ˈmɒnɔɪd/"
}
],
"word": "monoid"
}
{
"forms": [
{
"form": "моноид",
"tags": [
"Cyrillic"
]
}
],
"head_templates": [
{
"args": {
"g": "m"
},
"expansion": "monoid m (Cyrillic spelling моноид)",
"name": "sh-noun"
}
],
"lang": "Serbo-Croatian",
"lang_code": "sh",
"pos": "noun",
"senses": [
{
"categories": [
"Serbo-Croatian entries with incorrect language header",
"Serbo-Croatian lemmas",
"Serbo-Croatian masculine nouns",
"Serbo-Croatian nouns"
],
"glosses": [
"monoid"
],
"links": [
[
"monoid",
"monoid#English"
]
],
"tags": [
"masculine"
]
}
],
"word": "monoid"
}
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.