See monoid on Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "mono", "3": "oid" }, "expansion": "mono- + -oid", "name": "confix" } ], "etymology_text": "From 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": "other", "langcode": "en", "name": "Algebra", "orig": "en:Algebra", "parents": [], "source": "w" }, { "kind": "other", "langcode": "en", "name": "Programming", "orig": "en:Programming", "parents": [], "source": "w" }, { "_dis": "7 93", "kind": "other", "name": "English entries with incorrect language header", "parents": [], "source": "w+disamb" }, { "_dis": "27 73", "kind": "other", "name": "English terms prefixed with mono-", "parents": [], "source": "w+disamb" }, { "_dis": "21 79", "kind": "other", "name": "English terms suffixed with -oid", "parents": [], "source": "w+disamb" }, { "_dis": "6 94", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" }, { "_dis": "12 88", "kind": "other", "name": "Pages with 3 entries", "parents": [], "source": "w+disamb" }, { "_dis": "6 94", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" }, { "_dis": "11 89", "kind": "other", "name": "Terms with Czech translations", "parents": [], "source": "w+disamb" }, { "_dis": "10 90", "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w+disamb" }, { "_dis": "12 88", "kind": "other", "name": "Terms with French translations", "parents": [], "source": "w+disamb" }, { "_dis": "11 89", "kind": "other", "name": "Terms with German translations", "parents": [], "source": "w+disamb" }, { "_dis": "26 74", "kind": "other", "name": "Terms with Hindi translations", "parents": [], "source": "w+disamb" }, { "_dis": "10 90", "kind": "other", "name": "Terms with Icelandic translations", "parents": [], "source": "w+disamb" }, { "_dis": "17 83", "kind": "other", "name": "Terms with Mandarin translations", "parents": [], "source": "w+disamb" }, { "_dis": "10 90", "kind": "other", "name": "Terms with Portuguese translations", "parents": [], "source": "w+disamb" }, { "_dis": "10 90", "kind": "other", "name": "Terms with Serbo-Croatian translations", "parents": [], "source": "w+disamb" }, { "_dis": "11 89", "kind": "other", "name": "Terms with Spanish translations", "parents": [], "source": "w+disamb" }, { "_dis": "10 90", "kind": "other", "name": "Terms with Swedish translations", "parents": [], "source": "w+disamb" }, { "_dis": "11 89", "kind": "other", "name": "Terms with Turkish translations", "parents": [], "source": "w+disamb" } ], "derived": [ { "word": "bimonoid" }, { "word": "comonoid" }, { "word": "pseudomonoid" }, { "word": "submonoid" } ], "examples": [ { "bold_text_offsets": [ [ 29, 35 ] ], "ref": "2023, Michael Pilquist, Rúnar Bjarnason, Paul Chiusano, Functional programming with Scala, Second edition, Shelter Island: Manning Publications Co, →ISBN:", "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": "quote" } ], "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": "hi", "lang": "Hindi", "roman": "ekābh", "sense": "type of set", "word": "एकाभ" }, { "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/" }, { "audio": "LL-Q1860 (eng)-Flame, not lame-monoid.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/1/1a/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/1/1a/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav.ogg" } ], "word": "monoid" } { "etymology_templates": [ { "args": { "1": "en", "2": "mono", "3": "oid" }, "expansion": "mono- + -oid", "name": "confix" } ], "etymology_text": "From mono- + -oid.", "head_templates": [ { "args": { "1": "-" }, "expansion": "monoid (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "kind": "other", "langcode": "en", "name": "Prosody", "orig": "en:Prosody", "parents": [], "source": "w" } ], "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/" }, { "audio": "LL-Q1860 (eng)-Flame, not lame-monoid.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/1/1a/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/1/1a/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav.ogg" } ], "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": [], "source": "w" }, { "kind": "other", "name": "Pages with 3 entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "langcode": "cs", "name": "Algebra", "orig": "cs:Algebra", "parents": [], "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": "Pages with 3 entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Serbo-Croatian entries with incorrect language header", "parents": [], "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", "Pages with 3 entries", "Pages with entries", "cs:Algebra" ], "glosses": [ "monoid" ], "links": [ [ "monoid", "monoid#English" ] ], "tags": [ "inanimate", "masculine" ] } ], "sounds": [ { "ipa": "[ˈmonoɪt]" } ], "word": "monoid" } { "categories": [ "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 uncomparable adjectives", "Entries with translation boxes", "Pages with 3 entries", "Pages with entries", "Terms with Czech translations", "Terms with Finnish translations", "Terms with French translations", "Terms with German translations", "Terms with Hindi translations", "Terms with Icelandic translations", "Terms with Mandarin translations", "Terms with Portuguese translations", "Terms with Serbo-Croatian translations", "Terms with Spanish translations", "Terms with Swedish translations", "Terms with Turkish translations" ], "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": "From 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": [ { "bold_text_offsets": [ [ 29, 35 ] ], "ref": "2023, Michael Pilquist, Rúnar Bjarnason, Paul Chiusano, Functional programming with Scala, Second edition, Shelter Island: Manning Publications Co, →ISBN:", "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": "quote" } ], "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/" }, { "audio": "LL-Q1860 (eng)-Flame, not lame-monoid.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/1/1a/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/1/1a/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav.ogg" } ], "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": "hi", "lang": "Hindi", "roman": "ekābh", "sense": "type of set", "word": "एकाभ" }, { "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 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 uncomparable adjectives", "Entries with translation boxes", "Pages with 3 entries", "Pages with entries", "Terms with Czech translations", "Terms with Finnish translations", "Terms with French translations", "Terms with German translations", "Terms with Hindi translations", "Terms with Icelandic translations", "Terms with Mandarin translations", "Terms with Portuguese translations", "Terms with Serbo-Croatian translations", "Terms with Spanish translations", "Terms with Swedish translations", "Terms with Turkish translations" ], "etymology_templates": [ { "args": { "1": "en", "2": "mono", "3": "oid" }, "expansion": "mono- + -oid", "name": "confix" } ], "etymology_text": "From 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/" }, { "audio": "LL-Q1860 (eng)-Flame, not lame-monoid.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/1/1a/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/1/1a/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-monoid.wav.ogg" } ], "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": [ "Pages with 3 entries", "Pages with entries", "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" }
Download raw JSONL data for monoid meaning in All languages combined (8.8kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-05-08 from the enwiktionary dump dated 2025-05-01 using wiktextract (887c61b and 3d4dee6). 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.