"Radon transform" meaning in All languages combined

See Radon transform on Wiktionary

Noun [English]

Forms: Radon transforms [plural]
Etymology: Introduced in 1917 by Johann Radon. Head templates: {{en-noun}} Radon transform (plural Radon transforms)
  1. (mathematics) An integral transform which takes a function defined on the plane to a function defined on the (two-dimensional) space of lines in the plane, whose value at a particular line is equal to the line integral of the function over that line. Categories (topical): Mathematics
    Sense id: en-Radon_transform-en-noun-6o4rtoDP Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

{
  "etymology_text": "Introduced in 1917 by Johann Radon.",
  "forms": [
    {
      "form": "Radon transforms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Radon transform (plural Radon transforms)",
      "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": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An integral transform which takes a function defined on the plane to a function defined on the (two-dimensional) space of lines in the plane, whose value at a particular line is equal to the line integral of the function over that line."
      ],
      "id": "en-Radon_transform-en-noun-6o4rtoDP",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integral",
          "integral"
        ],
        [
          "transform",
          "transform"
        ],
        [
          "function",
          "function"
        ],
        [
          "plane",
          "plane"
        ],
        [
          "line",
          "line"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An integral transform which takes a function defined on the plane to a function defined on the (two-dimensional) space of lines in the plane, whose value at a particular line is equal to the line integral of the function over that line."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Radon transform"
}
{
  "etymology_text": "Introduced in 1917 by Johann Radon.",
  "forms": [
    {
      "form": "Radon transforms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Radon transform (plural Radon transforms)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "An integral transform which takes a function defined on the plane to a function defined on the (two-dimensional) space of lines in the plane, whose value at a particular line is equal to the line integral of the function over that line."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integral",
          "integral"
        ],
        [
          "transform",
          "transform"
        ],
        [
          "function",
          "function"
        ],
        [
          "plane",
          "plane"
        ],
        [
          "line",
          "line"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An integral transform which takes a function defined on the plane to a function defined on the (two-dimensional) space of lines in the plane, whose value at a particular line is equal to the line integral of the function over that line."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Radon transform"
}

Download raw JSONL data for Radon transform meaning in All languages combined (1.3kB)


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.