"characteristic function" meaning in All languages combined

{
  "forms": [
    {
      "form": "characteristic functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "characteristic function (plural characteristic functions)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "_dis1": "55 45",
      "word": "function"
    }
  ],
  "hyponyms": [
    {
      "_dis1": "55 45",
      "word": "point characteristic function"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "_dis1": "55 45",
      "word": "subset classifier"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
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        {
          "_dis": "63 37",
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        {
          "_dis": "52 48",
          "kind": "other",
          "name": "Terms with Bulgarian translations",
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        }
      ],
      "glosses": [
        "A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set."
      ],
      "id": "en-characteristic_function-en-noun-yfEAqGH9",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "function",
          "function"
        ],
        [
          "domain",
          "domain"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set."
      ],
      "synonyms": [
        {
          "_dis1": "95 5",
          "sense": "function equal to 1 on elements of a given set",
          "word": "indicator function"
        }
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "other",
          "langcode": "en",
          "name": "Functions",
          "orig": "en:Functions",
          "parents": [],
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        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
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        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Probability theory",
          "orig": "en:Probability theory",
          "parents": [],
          "source": "w"
        },
        {
          "_dis": "41 59",
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          "name": "English entries with incorrect language header",
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          "_dis": "41 59",
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        {
          "_dis": "45 55",
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          "_dis": "44 56",
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          "_dis": "52 48",
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        },
        {
          "_dis": "45 55",
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A complex function completely defining the probability distribution of a real-valued random variable"
      ],
      "id": "en-characteristic_function-en-noun-iQUueA1M",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "probability theory",
          "probability theory"
        ],
        [
          "function",
          "function"
        ],
        [
          "real",
          "real"
        ]
      ],
      "raw_glosses": [
        "(mathematics, probability theory) A complex function completely defining the probability distribution of a real-valued random variable"
      ],
      "topics": [
        "mathematics",
        "probability-theory",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "18 82",
          "code": "bg",
          "lang": "Bulgarian",
          "lang_code": "bg",
          "roman": "harakteristična funkcija",
          "sense": "a complex function completely defining a probability distribution",
          "tags": [
            "feminine"
          ],
          "word": "характеристична функция"
        },
        {
          "_dis1": "18 82",
          "code": "fi",
          "lang": "Finnish",
          "lang_code": "fi",
          "sense": "a complex function completely defining a probability distribution",
          "word": "karakteristinen funktio"
        }
      ]
    }
  ],
  "word": "characteristic function"
}

{
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    "Pages with 1 entry",
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    "Terms with Bulgarian translations",
    "Terms with Finnish translations"
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  "forms": [
    {
      "form": "characteristic functions",
      "tags": [
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  ],
  "head_templates": [
    {
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      "expansion": "characteristic function (plural characteristic functions)",
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  "hypernyms": [
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      "word": "function"
    }
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  "hyponyms": [
    {
      "word": "point characteristic function"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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    {
      "word": "subset classifier"
    }
  ],
  "senses": [
    {
      "categories": [
        "en:Mathematical analysis"
      ],
      "glosses": [
        "A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set."
      ],
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          "mathematical analysis",
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      "raw_glosses": [
        "(mathematical analysis) A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
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      ]
    },
    {
      "categories": [
        "en:Functions",
        "en:Mathematics",
        "en:Probability theory"
      ],
      "glosses": [
        "A complex function completely defining the probability distribution of a real-valued random variable"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "probability theory",
          "probability theory"
        ],
        [
          "function",
          "function"
        ],
        [
          "real",
          "real"
        ]
      ],
      "raw_glosses": [
        "(mathematics, probability theory) A complex function completely defining the probability distribution of a real-valued random variable"
      ],
      "topics": [
        "mathematics",
        "probability-theory",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "function equal to 1 on elements of a given set",
      "word": "indicator function"
    }
  ],
  "translations": [
    {
      "code": "bg",
      "lang": "Bulgarian",
      "lang_code": "bg",
      "roman": "harakteristična funkcija",
      "sense": "a complex function completely defining a probability distribution",
      "tags": [
        "feminine"
      ],
      "word": "характеристична функция"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "lang_code": "fi",
      "sense": "a complex function completely defining a probability distribution",
      "word": "karakteristinen funktio"
    }
  ],
  "word": "characteristic function"
}