"measurable function" meaning in All languages combined

{
  "forms": [
    {
      "form": "measurable functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "measurable function (plural measurable functions)",
      "name": "en-noun"
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  ],
  "hypernyms": [
    {
      "_dis1": "52 48",
      "word": "function"
    },
    {
      "_dis1": "52 48",
      "word": "morphism"
    }
  ],
  "hyponyms": [
    {
      "_dis1": "52 48",
      "word": "Borel measurable function"
    },
    {
      "_dis1": "52 48",
      "word": "simple function"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Functions",
          "orig": "en:Functions",
          "parents": [
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            "Calculus",
            "Geometry",
            "Mathematical analysis",
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            "Fundamental"
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          "_dis": "52 48",
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          "_dis": "64 36",
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        {
          "_dis": "47 53",
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        }
      ],
      "glosses": [
        "A function whose codomain is a topological space and domain is a measurable space, with the property that the inverse image of every open set in its codomain is a measurable set in its domain."
      ],
      "id": "en-measurable_function-en-noun-BTFWU6Bf",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "function",
          "function"
        ],
        [
          "codomain",
          "codomain"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "measurable space",
          "measurable space"
        ],
        [
          "inverse image",
          "inverse image"
        ],
        [
          "open set",
          "open set"
        ],
        [
          "measurable set",
          "measurable set"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A function whose codomain is a topological space and domain is a measurable space, with the property that the inverse image of every open set in its codomain is a measurable set in its domain."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
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          "source": "w"
        },
        {
          "_dis": "52 48",
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          "_dis": "47 53",
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        }
      ],
      "glosses": [
        "Any well-behaved function of real numbers between measurable spaces."
      ],
      "id": "en-measurable_function-en-noun-9968mIry",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "well-behaved",
          "well-behaved"
        ],
        [
          "real number",
          "real number"
        ],
        [
          "measurable space",
          "measurable space"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any well-behaved function of real numbers between measurable spaces."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "_dis1": "52 48",
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "mitallinen funktio"
    },
    {
      "_dis1": "52 48",
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "messbare Funktion"
    },
    {
      "_dis1": "52 48",
      "code": "ro",
      "lang": "Romanian",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "funcție măsurabilă"
    },
    {
      "_dis1": "52 48",
      "code": "ru",
      "lang": "Russian",
      "roman": "izmerimaja funkcija",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "измеримая функция"
    }
  ],
  "word": "measurable function"
}

{
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    "English lemmas",
    "English multiword terms",
    "English nouns",
    "English terms with non-redundant non-automated sortkeys",
    "Translation table header lacks gloss"
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  "forms": [
    {
      "form": "measurable functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "measurable function (plural measurable functions)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "function"
    },
    {
      "word": "morphism"
    }
  ],
  "hyponyms": [
    {
      "word": "Borel measurable function"
    },
    {
      "word": "simple function"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Functions",
        "en:Mathematical analysis"
      ],
      "glosses": [
        "A function whose codomain is a topological space and domain is a measurable space, with the property that the inverse image of every open set in its codomain is a measurable set in its domain."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "function",
          "function"
        ],
        [
          "codomain",
          "codomain"
        ],
        [
          "topological space",
          "topological space"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "measurable space",
          "measurable space"
        ],
        [
          "inverse image",
          "inverse image"
        ],
        [
          "open set",
          "open set"
        ],
        [
          "measurable set",
          "measurable set"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A function whose codomain is a topological space and domain is a measurable space, with the property that the inverse image of every open set in its codomain is a measurable set in its domain."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "Any well-behaved function of real numbers between measurable spaces."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "well-behaved",
          "well-behaved"
        ],
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          "real number",
          "real number"
        ],
        [
          "measurable space",
          "measurable space"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any well-behaved function of real numbers between measurable spaces."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "mitallinen funktio"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "messbare Funktion"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "funcție măsurabilă"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "izmerimaja funkcija",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "измеримая функция"
    }
  ],
  "word": "measurable function"
}