"equivalence relation" meaning in English

See equivalence relation in All languages combined, or Wiktionary

Noun

Forms: equivalence relations [plural]
Head templates: {{en-noun}} equivalence relation (plural equivalence relations)
  1. (set theory) A binary relation that is reflexive, symmetric and transitive. Wikipedia link: equivalence relation Categories (topical): Set theory Hypernyms: preorder Hyponyms: bijection, congruence, congruence relation, equality, homeomorphism, homotopy, isometry, isomorphism, similar Related terms: equivalence class, setoid, , ~ Translations (binary relation): relace ekvivalence [feminine] (Czech), ekvivalenssirelaatio (Finnish), relation d’équivalence [feminine] (French), Äquivalenzrelation [feminine] (German), तुल्यता-संबंध (tulyatā-sambandh) (Hindi), ekvivalenciareláció (Hungarian), jafngildisvensl [neuter, plural] (Icelandic), relazione di equivalenza [feminine] (Italian), 同値関係 (dōchi-kankei) (Japanese), relacja równoważności [feminine] (Polish), relação de equivalência [feminine] (Portuguese), relație de echivalență [feminine] (Romanian), отноше́ние эквивале́нтности (otnošénije ekvivaléntnosti) [neuter] (Russian), relacija ekvivalencije [feminine] (Serbo-Croatian), relación de equivalencia [feminine] (Spanish), ekvivalensrelation [common-gender] (Swedish)

Inflected forms

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        "A binary relation that is reflexive, symmetric and transitive."
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        {
          "word": "preorder"
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      ],
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        {
          "word": "bijection"
        },
        {
          "word": "congruence"
        },
        {
          "word": "congruence relation"
        },
        {
          "word": "equality"
        },
        {
          "word": "homeomorphism"
        },
        {
          "word": "homotopy"
        },
        {
          "word": "isometry"
        },
        {
          "word": "isomorphism"
        },
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          "word": "similar"
        }
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          "symmetric",
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      "raw_glosses": [
        "(set theory) A binary relation that is reflexive, symmetric and transitive."
      ],
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          "word": "equivalence class"
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          "word": "setoid"
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          "code": "cs",
          "lang": "Czech",
          "sense": "binary relation",
          "tags": [
            "feminine"
          ],
          "word": "relace ekvivalence"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "binary relation",
          "word": "ekvivalenssirelaatio"
        },
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          "code": "fr",
          "lang": "French",
          "sense": "binary relation",
          "tags": [
            "feminine"
          ],
          "word": "relation d’équivalence"
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          "code": "de",
          "lang": "German",
          "sense": "binary relation",
          "tags": [
            "feminine"
          ],
          "word": "Äquivalenzrelation"
        },
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          "code": "hi",
          "lang": "Hindi",
          "roman": "tulyatā-sambandh",
          "sense": "binary relation",
          "word": "तुल्यता-संबंध"
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          "code": "hu",
          "lang": "Hungarian",
          "sense": "binary relation",
          "word": "ekvivalenciareláció"
        },
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          "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"
        },
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          "code": "pl",
          "lang": "Polish",
          "sense": "binary relation",
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          ],
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        },
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          "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"
        },
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          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "binary relation",
          "tags": [
            "feminine"
          ],
          "word": "relacija ekvivalencije"
        },
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          "sense": "binary relation",
          "tags": [
            "feminine"
          ],
          "word": "relación de equivalencia"
        },
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          "sense": "binary relation",
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        }
      ],
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      "code": "de",
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      "sense": "binary relation",
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      "word": "Äquivalenzrelation"
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      "code": "hi",
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      "sense": "binary relation",
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      "sense": "binary relation",
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      "sense": "binary relation",
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    },
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      "code": "it",
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      "sense": "binary relation",
      "tags": [
        "feminine"
      ],
      "word": "relazione di equivalenza"
    },
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      "code": "ja",
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      "roman": "dōchi-kankei",
      "sense": "binary relation",
      "word": "同値関係"
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      "code": "pl",
      "lang": "Polish",
      "sense": "binary relation",
      "tags": [
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    },
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      "sense": "binary relation",
      "tags": [
        "feminine"
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      "word": "relação de equivalência"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "binary relation",
      "tags": [
        "feminine"
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      "word": "relație de echivalență"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "otnošénije ekvivaléntnosti",
      "sense": "binary relation",
      "tags": [
        "neuter"
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      "word": "отноше́ние эквивале́нтности"
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      "code": "sh",
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      "sense": "binary relation",
      "tags": [
        "feminine"
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      "word": "relacija ekvivalencije"
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      "code": "es",
      "lang": "Spanish",
      "sense": "binary relation",
      "tags": [
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      "word": "relación de equivalencia"
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      "code": "sv",
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      "sense": "binary relation",
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      "word": "ekvivalensrelation"
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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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