"measure theory" meaning in All languages combined

See measure theory on Wiktionary

Noun [English]

Forms: measure theories [plural]
Head templates: {{en-noun|~}} measure theory (countable and uncountable, plural measure theories)
  1. (mathematics) A branch of mathematical analysis, concerned with the theory of integration, that generalizes the intuitive notions of length, area and volume. Wikipedia link: measure theory Tags: countable, uncountable Categories (topical): Mathematics, Measure theory Related terms: Borel measure, complex measure, Haar measure, Jordan measure, Lebesgue integral, Lebesgue measure, probability measure, Riemann integration Translations (branch of mathematical analysis): teorie míry [feminine] (Czech), mittateoria (Finnish), Maßtheorie [feminine] (German), 測度論 (Japanese), teoria măsurării [feminine] (Romanian)

Inflected forms

{
  "forms": [
    {
      "form": "measure theories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "measure theory (countable and uncountable, plural measure theories)",
      "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": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Czech translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Japanese translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Romanian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Measure theory",
          "orig": "en:Measure theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A branch of mathematical analysis, concerned with the theory of integration, that generalizes the intuitive notions of length, area and volume."
      ],
      "id": "en-measure_theory-en-noun-6mbuTRh8",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "mathematical",
          "mathematical"
        ],
        [
          "analysis",
          "analysis"
        ],
        [
          "theory",
          "theory"
        ],
        [
          "integration",
          "integration"
        ],
        [
          "intuitive",
          "intuitive"
        ],
        [
          "notion",
          "notion"
        ],
        [
          "length",
          "length"
        ],
        [
          "area",
          "area"
        ],
        [
          "volume",
          "volume"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A branch of mathematical analysis, concerned with the theory of integration, that generalizes the intuitive notions of length, area and volume."
      ],
      "related": [
        {
          "word": "Borel measure"
        },
        {
          "word": "complex measure"
        },
        {
          "word": "Haar measure"
        },
        {
          "word": "Jordan measure"
        },
        {
          "word": "Lebesgue integral"
        },
        {
          "word": "Lebesgue measure"
        },
        {
          "word": "probability measure"
        },
        {
          "word": "Riemann integration"
        }
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "branch of mathematical analysis",
          "tags": [
            "feminine"
          ],
          "word": "teorie míry"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "branch of mathematical analysis",
          "word": "mittateoria"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "branch of mathematical analysis",
          "tags": [
            "feminine"
          ],
          "word": "Maßtheorie"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "sense": "branch of mathematical analysis",
          "word": "測度論"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "branch of mathematical analysis",
          "tags": [
            "feminine"
          ],
          "word": "teoria măsurării"
        }
      ],
      "wikipedia": [
        "measure theory"
      ]
    }
  ],
  "word": "measure theory"
}
{
  "forms": [
    {
      "form": "measure theories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "~"
      },
      "expansion": "measure theory (countable and uncountable, plural measure theories)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Borel measure"
    },
    {
      "word": "complex measure"
    },
    {
      "word": "Haar measure"
    },
    {
      "word": "Jordan measure"
    },
    {
      "word": "Lebesgue integral"
    },
    {
      "word": "Lebesgue measure"
    },
    {
      "word": "probability measure"
    },
    {
      "word": "Riemann integration"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English uncountable nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Czech translations",
        "Terms with Finnish translations",
        "Terms with German translations",
        "Terms with Japanese translations",
        "Terms with Romanian translations",
        "en:Mathematics",
        "en:Measure theory"
      ],
      "glosses": [
        "A branch of mathematical analysis, concerned with the theory of integration, that generalizes the intuitive notions of length, area and volume."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "mathematical",
          "mathematical"
        ],
        [
          "analysis",
          "analysis"
        ],
        [
          "theory",
          "theory"
        ],
        [
          "integration",
          "integration"
        ],
        [
          "intuitive",
          "intuitive"
        ],
        [
          "notion",
          "notion"
        ],
        [
          "length",
          "length"
        ],
        [
          "area",
          "area"
        ],
        [
          "volume",
          "volume"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A branch of mathematical analysis, concerned with the theory of integration, that generalizes the intuitive notions of length, area and volume."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "measure theory"
      ]
    }
  ],
  "translations": [
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "branch of mathematical analysis",
      "tags": [
        "feminine"
      ],
      "word": "teorie míry"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "branch of mathematical analysis",
      "word": "mittateoria"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "branch of mathematical analysis",
      "tags": [
        "feminine"
      ],
      "word": "Maßtheorie"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "sense": "branch of mathematical analysis",
      "word": "測度論"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "branch of mathematical analysis",
      "tags": [
        "feminine"
      ],
      "word": "teoria măsurării"
    }
  ],
  "word": "measure theory"
}

Download raw JSONL data for measure theory meaning in All languages combined (2.3kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.