"iterated integral" meaning in English

See iterated integral in All languages combined, or Wiktionary

Noun

Forms: iterated integrals [plural]
Head templates: {{en-noun}} iterated integral (plural iterated integrals)
  1. (mathematics) In multivariable calculus, the result of applying integrals to a function of more than one variable in such a way that each of the integrals considers some of the variables as given constants. Translations (iterated integral): integral iterada [feminine] (Asturian), integral iterada [feminine] (Catalan), intégrale itérée [feminine] (French), integral iterada [feminine] (Galician), integrale iterato [masculine] (Italian), integral iterada [feminine] (Portuguese), integral iterada [feminine] (Spanish)

Inflected forms

{
  "forms": [
    {
      "form": "iterated integrals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "iterated integral (plural iterated integrals)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "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 Asturian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Catalan translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with French translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Galician translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Italian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Portuguese translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Spanish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "In multivariable calculus, the result of applying integrals to a function of more than one variable in such a way that each of the integrals considers some of the variables as given constants."
      ],
      "id": "en-iterated_integral-en-noun-rWrdRbkf",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "multivariable",
          "multivariable"
        ],
        [
          "calculus",
          "calculus"
        ],
        [
          "integral",
          "integral"
        ],
        [
          "function",
          "function"
        ],
        [
          "variable",
          "variable"
        ],
        [
          "constant",
          "constant"
        ]
      ],
      "raw_glosses": [
        "(mathematics) In multivariable calculus, the result of applying integrals to a function of more than one variable in such a way that each of the integrals considers some of the variables as given constants."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "ast",
          "lang": "Asturian",
          "sense": "iterated integral",
          "tags": [
            "feminine"
          ],
          "word": "integral iterada"
        },
        {
          "code": "ca",
          "lang": "Catalan",
          "sense": "iterated integral",
          "tags": [
            "feminine"
          ],
          "word": "integral iterada"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "iterated integral",
          "tags": [
            "feminine"
          ],
          "word": "intégrale itérée"
        },
        {
          "code": "gl",
          "lang": "Galician",
          "sense": "iterated integral",
          "tags": [
            "feminine"
          ],
          "word": "integral iterada"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "iterated integral",
          "tags": [
            "masculine"
          ],
          "word": "integrale iterato"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "iterated integral",
          "tags": [
            "feminine"
          ],
          "word": "integral iterada"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "iterated integral",
          "tags": [
            "feminine"
          ],
          "word": "integral iterada"
        }
      ]
    }
  ],
  "word": "iterated integral"
}
{
  "forms": [
    {
      "form": "iterated integrals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "iterated integral (plural iterated integrals)",
      "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",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Asturian translations",
        "Terms with Catalan translations",
        "Terms with French translations",
        "Terms with Galician translations",
        "Terms with Italian translations",
        "Terms with Portuguese translations",
        "Terms with Spanish translations",
        "en:Mathematics"
      ],
      "glosses": [
        "In multivariable calculus, the result of applying integrals to a function of more than one variable in such a way that each of the integrals considers some of the variables as given constants."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "multivariable",
          "multivariable"
        ],
        [
          "calculus",
          "calculus"
        ],
        [
          "integral",
          "integral"
        ],
        [
          "function",
          "function"
        ],
        [
          "variable",
          "variable"
        ],
        [
          "constant",
          "constant"
        ]
      ],
      "raw_glosses": [
        "(mathematics) In multivariable calculus, the result of applying integrals to a function of more than one variable in such a way that each of the integrals considers some of the variables as given constants."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "ast",
      "lang": "Asturian",
      "sense": "iterated integral",
      "tags": [
        "feminine"
      ],
      "word": "integral iterada"
    },
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "iterated integral",
      "tags": [
        "feminine"
      ],
      "word": "integral iterada"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "iterated integral",
      "tags": [
        "feminine"
      ],
      "word": "intégrale itérée"
    },
    {
      "code": "gl",
      "lang": "Galician",
      "sense": "iterated integral",
      "tags": [
        "feminine"
      ],
      "word": "integral iterada"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "iterated integral",
      "tags": [
        "masculine"
      ],
      "word": "integrale iterato"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "iterated integral",
      "tags": [
        "feminine"
      ],
      "word": "integral iterada"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "iterated integral",
      "tags": [
        "feminine"
      ],
      "word": "integral iterada"
    }
  ],
  "word": "iterated integral"
}

Download raw JSONL data for iterated integral meaning in English (2.2kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-08-12 from the enwiktionary dump dated 2025-08-02 using wiktextract (7cef23e and 3c020d2). 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.