"equivalence class" meaning in English

{
  "forms": [
    {
      "form": "equivalence classes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "equivalence class (plural equivalence classes)",
      "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": [
            "Terms with redundant script codes",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Set theory",
          "orig": "en:Set theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Any one of the subsets into which an equivalence relation partitions a set, each of these subsets containing all the elements of the set that are equivalent under the equivalence relation."
      ],
      "hyponyms": [
        {
          "word": "congruence class"
        }
      ],
      "id": "en-equivalence_class-en-noun-5RKN45Pq",
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "equivalence relation",
          "equivalence relation"
        ],
        [
          "partition",
          "partition"
        ],
        [
          "set",
          "set"
        ]
      ],
      "raw_glosses": [
        "(set theory) Any one of the subsets into which an equivalence relation partitions a set, each of these subsets containing all the elements of the set that are equivalent under the equivalence relation."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ],
      "translations": [
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "Any one of the subsets into which an equivalence relation partition is set",
          "tags": [
            "feminine"
          ],
          "word": "třída ekvivalence"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Any one of the subsets into which an equivalence relation partition is set",
          "word": "ekvivalenssiluokka"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Any one of the subsets into which an equivalence relation partition is set",
          "tags": [
            "feminine"
          ],
          "word": "Äquivalenzklasse"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "Any one of the subsets into which an equivalence relation partition is set",
          "word": "ekvivalenciaosztály"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "Any one of the subsets into which an equivalence relation partition is set",
          "tags": [
            "masculine"
          ],
          "word": "jafngildisflokkur"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "roman": "dōchi-rui",
          "sense": "Any one of the subsets into which an equivalence relation partition is set",
          "word": "同値類"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "Any one of the subsets into which an equivalence relation partition is set",
          "tags": [
            "feminine"
          ],
          "word": "klasa ekvivalencije"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "Any one of the subsets into which an equivalence relation partition is set",
          "word": "ekvivalensklass"
        }
      ],
      "wikipedia": [
        "equivalence class"
      ]
    }
  ],
  "word": "equivalence class"
}

{
  "forms": [
    {
      "form": "equivalence classes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "equivalence class (plural equivalence classes)",
      "name": "en-noun"
    }
  ],
  "hyponyms": [
    {
      "word": "congruence class"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "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": [
        "Any one of the subsets into which an equivalence relation partitions a set, each of these subsets containing all the elements of the set that are equivalent under the equivalence relation."
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "subset",
          "subset"
        ],
        [
          "equivalence relation",
          "equivalence relation"
        ],
        [
          "partition",
          "partition"
        ],
        [
          "set",
          "set"
        ]
      ],
      "raw_glosses": [
        "(set theory) Any one of the subsets into which an equivalence relation partitions a set, each of these subsets containing all the elements of the set that are equivalent under the equivalence relation."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ],
      "wikipedia": [
        "equivalence class"
      ]
    }
  ],
  "translations": [
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "Any one of the subsets into which an equivalence relation partition is set",
      "tags": [
        "feminine"
      ],
      "word": "třída ekvivalence"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Any one of the subsets into which an equivalence relation partition is set",
      "word": "ekvivalenssiluokka"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Any one of the subsets into which an equivalence relation partition is set",
      "tags": [
        "feminine"
      ],
      "word": "Äquivalenzklasse"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "Any one of the subsets into which an equivalence relation partition is set",
      "word": "ekvivalenciaosztály"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "Any one of the subsets into which an equivalence relation partition is set",
      "tags": [
        "masculine"
      ],
      "word": "jafngildisflokkur"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "dōchi-rui",
      "sense": "Any one of the subsets into which an equivalence relation partition is set",
      "word": "同値類"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "Any one of the subsets into which an equivalence relation partition is set",
      "tags": [
        "feminine"
      ],
      "word": "klasa ekvivalencije"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "Any one of the subsets into which an equivalence relation partition is set",
      "word": "ekvivalensklass"
    }
  ],
  "word": "equivalence class"
}