See equivalence relation in All languages combined, or Wiktionary
Download JSON data for equivalence relation meaning in English (3.6kB)
{
"forms": [
{
"form": "equivalence relations",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "equivalence relation (plural equivalence relations)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Japanese terms with redundant script codes",
"parents": [
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],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Set theory",
"orig": "en:Set theory",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A binary relation that is reflexive, symmetric and transitive."
],
"hypernyms": [
{
"word": "preorder"
}
],
"hyponyms": [
{
"word": "bijection"
},
{
"word": "congruence"
},
{
"word": "congruence relation"
},
{
"word": "equality"
},
{
"word": "homeomorphism"
},
{
"word": "homotopy"
},
{
"word": "isometry"
},
{
"word": "isomorphism"
},
{
"word": "similar"
}
],
"id": "en-equivalence_relation-en-noun-yi9atpQp",
"links": [
[
"set theory",
"set theory"
],
[
"binary relation",
"binary relation"
],
[
"reflexive",
"reflexive"
],
[
"symmetric",
"symmetric"
],
[
"transitive",
"transitive"
]
],
"raw_glosses": [
"(set theory) A binary relation that is reflexive, symmetric and transitive."
],
"related": [
{
"word": "equivalence class"
},
{
"word": "setoid"
},
{
"word": "≡"
},
{
"word": "~"
}
],
"topics": [
"mathematics",
"sciences",
"set-theory"
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relace ekvivalence"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "binary relation",
"word": "ekvivalenssirelaatio"
},
{
"code": "fr",
"lang": "French",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relation d’équivalence"
},
{
"code": "de",
"lang": "German",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "Äquivalenzrelation"
},
{
"code": "hi",
"lang": "Hindi",
"roman": "tulyatā-sambandh",
"sense": "binary relation",
"word": "तुल्यता-संबंध"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "binary relation",
"word": "ekvivalenciareláció"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "binary relation",
"tags": [
"neuter",
"plural"
],
"word": "jafngildisvensl"
},
{
"code": "it",
"lang": "Italian",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relazione di equivalenza"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "dōchi-kankei",
"sense": "binary relation",
"word": "同値関係"
},
{
"code": "pl",
"lang": "Polish",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relacja równoważności"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relação de equivalência"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relație de echivalență"
},
{
"code": "ru",
"lang": "Russian",
"roman": "otnošénije ekvivaléntnosti",
"sense": "binary relation",
"tags": [
"neuter"
],
"word": "отноше́ние эквивале́нтности"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relacija ekvivalencije"
},
{
"code": "es",
"lang": "Spanish",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relación de equivalencia"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "binary relation",
"tags": [
"common-gender"
],
"word": "ekvivalensrelation"
}
],
"wikipedia": [
"equivalence relation"
]
}
],
"word": "equivalence relation"
}
{
"forms": [
{
"form": "equivalence relations",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "equivalence relation (plural equivalence relations)",
"name": "en-noun"
}
],
"hypernyms": [
{
"word": "preorder"
}
],
"hyponyms": [
{
"word": "bijection"
},
{
"word": "congruence"
},
{
"word": "congruence relation"
},
{
"word": "equality"
},
{
"word": "homeomorphism"
},
{
"word": "homotopy"
},
{
"word": "isometry"
},
{
"word": "isomorphism"
},
{
"word": "similar"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"related": [
{
"word": "equivalence class"
},
{
"word": "setoid"
},
{
"word": "≡"
},
{
"word": "~"
}
],
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"Japanese terms with redundant script codes",
"en:Set theory"
],
"glosses": [
"A binary relation that is reflexive, symmetric and transitive."
],
"links": [
[
"set theory",
"set theory"
],
[
"binary relation",
"binary relation"
],
[
"reflexive",
"reflexive"
],
[
"symmetric",
"symmetric"
],
[
"transitive",
"transitive"
]
],
"raw_glosses": [
"(set theory) A binary relation that is reflexive, symmetric and transitive."
],
"topics": [
"mathematics",
"sciences",
"set-theory"
],
"wikipedia": [
"equivalence relation"
]
}
],
"translations": [
{
"code": "cs",
"lang": "Czech",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relace ekvivalence"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "binary relation",
"word": "ekvivalenssirelaatio"
},
{
"code": "fr",
"lang": "French",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relation d’équivalence"
},
{
"code": "de",
"lang": "German",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "Äquivalenzrelation"
},
{
"code": "hi",
"lang": "Hindi",
"roman": "tulyatā-sambandh",
"sense": "binary relation",
"word": "तुल्यता-संबंध"
},
{
"code": "hu",
"lang": "Hungarian",
"sense": "binary relation",
"word": "ekvivalenciareláció"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "binary relation",
"tags": [
"neuter",
"plural"
],
"word": "jafngildisvensl"
},
{
"code": "it",
"lang": "Italian",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relazione di equivalenza"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "dōchi-kankei",
"sense": "binary relation",
"word": "同値関係"
},
{
"code": "pl",
"lang": "Polish",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relacja równoważności"
},
{
"code": "pt",
"lang": "Portuguese",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relação de equivalência"
},
{
"code": "ro",
"lang": "Romanian",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relație de echivalență"
},
{
"code": "ru",
"lang": "Russian",
"roman": "otnošénije ekvivaléntnosti",
"sense": "binary relation",
"tags": [
"neuter"
],
"word": "отноше́ние эквивале́нтности"
},
{
"code": "sh",
"lang": "Serbo-Croatian",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relacija ekvivalencije"
},
{
"code": "es",
"lang": "Spanish",
"sense": "binary relation",
"tags": [
"feminine"
],
"word": "relación de equivalencia"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "binary relation",
"tags": [
"common-gender"
],
"word": "ekvivalensrelation"
}
],
"word": "equivalence relation"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-06 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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