"intermediate value theorem" meaning in All languages combined

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      "glosses": [
        "A theorem that states for each value between the least upper bound and greatest lower bound of the image of a continuous function there is a corresponding point in its domain that the function maps to that value."
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      "id": "en-intermediate_value_theorem-en-noun-Sl6wtGp9",
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        [
          "least upper bound",
          "least upper bound"
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          "greatest lower bound",
          "greatest lower bound"
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        "(calculus) A theorem that states for each value between the least upper bound and greatest lower bound of the image of a continuous function there is a corresponding point in its domain that the function maps to that value."
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      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "intermediate value theorem",
          "word": "jatkuvien funktioiden väliarvolause"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "intermediate value theorem",
          "word": "väliarvolause"
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        {
          "code": "de",
          "lang": "German",
          "sense": "intermediate value theorem",
          "tags": [
            "masculine"
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          "word": "Zwischenwertsatz"
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          "roman": "mishpát érech habeynáim",
          "sense": "intermediate value theorem",
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            "masculine"
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          "word": "משפט ערך הביניים"
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          "roman": "teoréma o promežútočnom značénii",
          "sense": "intermediate value theorem",
          "tags": [
            "feminine"
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          "word": "теоре́ма о промежу́точном значе́нии"
        },
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          "code": "ru",
          "lang": "Russian",
          "roman": "teoréma Bolʹcáno-Koší",
          "sense": "intermediate value theorem",
          "tags": [
            "feminine"
          ],
          "word": "теоре́ма Больца́но-Коши́"
        }
      ],
      "wikipedia": [
        "intermediate value theorem"
      ]
    }
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  "word": "intermediate value theorem"
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        "A theorem that states for each value between the least upper bound and greatest lower bound of the image of a continuous function there is a corresponding point in its domain that the function maps to that value."
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    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "intermediate value theorem",
      "word": "jatkuvien funktioiden väliarvolause"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "intermediate value theorem",
      "word": "väliarvolause"
    },
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      "sense": "intermediate value theorem",
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      "code": "he",
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      "sense": "intermediate value theorem",
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      "word": "теоре́ма Больца́но-Коши́"
    }
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  "word": "intermediate value theorem"
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