"intermediate value theorem" meaning in English

See intermediate value theorem in All languages combined, or Wiktionary

Noun

Head templates: {{en-noun|?}} intermediate value theorem
  1. (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. Wikipedia link: intermediate value theorem Categories (topical): Calculus Translations (intermediate value theorem): jatkuvien funktioiden väliarvolause (Finnish), väliarvolause (Finnish), Zwischenwertsatz [masculine] (German), משפט ערך הביניים (mishpát érech habeynáim) [masculine] (Hebrew), теоре́ма о промежу́точном значе́нии (teoréma o promežútočnom značénii) [feminine] (Russian), теоре́ма Больца́но-Коши́ (teoréma Bolʹcáno-Koší) [feminine] (Russian)
    Sense id: en-intermediate_value_theorem-en-noun-Sl6wtGp9 Categories (other): English entries with incorrect language header, Hebrew terms with redundant script codes Topics: calculus, mathematics, sciences

Download JSON data for intermediate value theorem meaning in English (2.5kB)

{
  "head_templates": [
    {
      "args": {
        "1": "?"
      },
      "expansion": "intermediate value theorem",
      "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": "Hebrew terms with redundant script codes",
          "parents": [
            "Terms with redundant script codes",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Calculus",
          "orig": "en:Calculus",
          "parents": [
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "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."
      ],
      "id": "en-intermediate_value_theorem-en-noun-Sl6wtGp9",
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "theorem",
          "theorem"
        ],
        [
          "least upper bound",
          "least upper bound"
        ],
        [
          "greatest lower bound",
          "greatest lower bound"
        ],
        [
          "image",
          "image"
        ],
        [
          "continuous function",
          "continuous function"
        ],
        [
          "domain",
          "domain"
        ]
      ],
      "raw_glosses": [
        "(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."
      ],
      "topics": [
        "calculus",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "intermediate value theorem",
          "word": "jatkuvien funktioiden väliarvolause"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "intermediate value theorem",
          "word": "väliarvolause"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "intermediate value theorem",
          "tags": [
            "masculine"
          ],
          "word": "Zwischenwertsatz"
        },
        {
          "code": "he",
          "lang": "Hebrew",
          "roman": "mishpát érech habeynáim",
          "sense": "intermediate value theorem",
          "tags": [
            "masculine"
          ],
          "word": "משפט ערך הביניים"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "teoréma o promežútočnom značénii",
          "sense": "intermediate value theorem",
          "tags": [
            "feminine"
          ],
          "word": "теоре́ма о промежу́точном значе́нии"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "teoréma Bolʹcáno-Koší",
          "sense": "intermediate value theorem",
          "tags": [
            "feminine"
          ],
          "word": "теоре́ма Больца́но-Коши́"
        }
      ],
      "wikipedia": [
        "intermediate value theorem"
      ]
    }
  ],
  "word": "intermediate value theorem"
}
{
  "head_templates": [
    {
      "args": {
        "1": "?"
      },
      "expansion": "intermediate value theorem",
      "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",
        "English nouns with unknown or uncertain plurals",
        "Hebrew terms with redundant script codes",
        "en:Calculus"
      ],
      "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."
      ],
      "links": [
        [
          "calculus",
          "calculus"
        ],
        [
          "theorem",
          "theorem"
        ],
        [
          "least upper bound",
          "least upper bound"
        ],
        [
          "greatest lower bound",
          "greatest lower bound"
        ],
        [
          "image",
          "image"
        ],
        [
          "continuous function",
          "continuous function"
        ],
        [
          "domain",
          "domain"
        ]
      ],
      "raw_glosses": [
        "(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."
      ],
      "topics": [
        "calculus",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "intermediate value theorem"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "intermediate value theorem",
      "word": "jatkuvien funktioiden väliarvolause"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "intermediate value theorem",
      "word": "väliarvolause"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "intermediate value theorem",
      "tags": [
        "masculine"
      ],
      "word": "Zwischenwertsatz"
    },
    {
      "code": "he",
      "lang": "Hebrew",
      "roman": "mishpát érech habeynáim",
      "sense": "intermediate value theorem",
      "tags": [
        "masculine"
      ],
      "word": "משפט ערך הביניים"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "teoréma o promežútočnom značénii",
      "sense": "intermediate value theorem",
      "tags": [
        "feminine"
      ],
      "word": "теоре́ма о промежу́точном значе́нии"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "teoréma Bolʹcáno-Koší",
      "sense": "intermediate value theorem",
      "tags": [
        "feminine"
      ],
      "word": "теоре́ма Больца́но-Коши́"
    }
  ],
  "word": "intermediate value theorem"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.