"symmetric difference" meaning in English

See symmetric difference in All languages combined, or Wiktionary

Noun

Forms: symmetric differences [plural]
Head templates: {{en-noun}} symmetric difference (plural symmetric differences)
  1. (set theory) The set that contains all elements belonging to either of given two sets but not to the both; the relative complement of the intersection in the union of given two sets. Categories (topical): Set theory Translations (set of elements belonging only one of given two sets): فرق تماثلي [masculine] (Arabic), symmetrinen erotus (Finnish), 対称差集合 (taishōsa shūgō) (alt: たいしょうさしゅうごう) (Japanese)
    Sense id: en-symmetric_difference-en-noun-bVrCDtmO Categories (other): English entries with incorrect language header Topics: mathematics, sciences, set-theory

Inflected forms

Download JSON data for symmetric difference meaning in English (1.8kB)

{
  "forms": [
    {
      "form": "symmetric differences",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {},
      "expansion": "symmetric difference (plural symmetric differences)",
      "name": "en-noun"
    }
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  "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": "topical",
          "langcode": "en",
          "name": "Set theory",
          "orig": "en:Set theory",
          "parents": [
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The set that contains all elements belonging to either of given two sets but not to the both; the relative complement of the intersection in the union of given two sets."
      ],
      "id": "en-symmetric_difference-en-noun-bVrCDtmO",
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "set",
          "set"
        ],
        [
          "relative complement",
          "relative complement"
        ],
        [
          "intersection",
          "intersection"
        ],
        [
          "union",
          "union"
        ]
      ],
      "raw_glosses": [
        "(set theory) The set that contains all elements belonging to either of given two sets but not to the both; the relative complement of the intersection in the union of given two sets."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ],
      "translations": [
        {
          "code": "ar",
          "lang": "Arabic",
          "sense": "set of elements belonging only one of given two sets",
          "tags": [
            "masculine"
          ],
          "word": "فرق تماثلي"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "set of elements belonging only one of given two sets",
          "word": "symmetrinen erotus"
        },
        {
          "alt": "たいしょうさしゅうごう",
          "code": "ja",
          "lang": "Japanese",
          "roman": "taishōsa shūgō",
          "sense": "set of elements belonging only one of given two sets",
          "word": "対称差集合"
        }
      ]
    }
  ],
  "word": "symmetric difference"
}
{
  "forms": [
    {
      "form": "symmetric differences",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "symmetric difference (plural symmetric differences)",
      "name": "en-noun"
    }
  ],
  "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",
        "en:Set theory"
      ],
      "glosses": [
        "The set that contains all elements belonging to either of given two sets but not to the both; the relative complement of the intersection in the union of given two sets."
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "set",
          "set"
        ],
        [
          "relative complement",
          "relative complement"
        ],
        [
          "intersection",
          "intersection"
        ],
        [
          "union",
          "union"
        ]
      ],
      "raw_glosses": [
        "(set theory) The set that contains all elements belonging to either of given two sets but not to the both; the relative complement of the intersection in the union of given two sets."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ]
    }
  ],
  "translations": [
    {
      "code": "ar",
      "lang": "Arabic",
      "sense": "set of elements belonging only one of given two sets",
      "tags": [
        "masculine"
      ],
      "word": "فرق تماثلي"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "set of elements belonging only one of given two sets",
      "word": "symmetrinen erotus"
    },
    {
      "alt": "たいしょうさしゅうごう",
      "code": "ja",
      "lang": "Japanese",
      "roman": "taishōsa shūgō",
      "sense": "set of elements belonging only one of given two sets",
      "word": "対称差集合"
    }
  ],
  "word": "symmetric difference"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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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