"Kelvin function" meaning in English

See Kelvin function in All languages combined, or Wiktionary

Noun

Forms: Kelvin functions [plural]
Etymology: Named after Lord Kelvin. Etymology templates: {{!}} |, {{lang|en|Lord Kelvin}} Lord Kelvin, {{named-after|en|Lord Kelvin|wplink==}} Named after Lord Kelvin Head templates: {{en-noun}} Kelvin function (plural Kelvin functions)
  1. (mathematics) Any of class of special functions, usually denoted as two pairs of functions berₙ(x), beiₙ(x), kerₙ(x) and keiₙ(x) with variable x and given order number n. The former two functions berₙ(x) and beiₙ(x) respectively correspond to the real part and the imaginary part of the Kelvin differential equation's solution that can be expressed with the Bessel function of the first kind Jₙ(x), and the latter kerₙ(x) and keiₙ(x) correspond to those that can be expressed with the modified Bessel function of the second kind Kₙ(x). Categories (topical): Mathematics Related terms: Kelvin differential equation
    Sense id: en-Kelvin_function-en-noun-YAkh6xFW Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for Kelvin function meaning in English (2.5kB)

{
  "etymology_templates": [
    {
      "args": {},
      "expansion": "|",
      "name": "!"
    },
    {
      "args": {
        "1": "en",
        "2": "Lord Kelvin"
      },
      "expansion": "Lord Kelvin",
      "name": "lang"
    },
    {
      "args": {
        "1": "en",
        "2": "Lord Kelvin",
        "wplink": "="
      },
      "expansion": "Named after Lord Kelvin",
      "name": "named-after"
    }
  ],
  "etymology_text": "Named after Lord Kelvin.",
  "forms": [
    {
      "form": "Kelvin functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Kelvin function (plural Kelvin functions)",
      "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": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Any of class of special functions, usually denoted as two pairs of functions berₙ(x), beiₙ(x), kerₙ(x) and keiₙ(x) with variable x and given order number n. The former two functions berₙ(x) and beiₙ(x) respectively correspond to the real part and the imaginary part of the Kelvin differential equation's solution that can be expressed with the Bessel function of the first kind Jₙ(x), and the latter kerₙ(x) and keiₙ(x) correspond to those that can be expressed with the modified Bessel function of the second kind Kₙ(x)."
      ],
      "id": "en-Kelvin_function-en-noun-YAkh6xFW",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "special function",
          "special function"
        ],
        [
          "Kelvin differential equation",
          "Kelvin differential equation"
        ],
        [
          "Bessel function of the first kind",
          "Bessel function of the first kind"
        ],
        [
          "modified Bessel function of the second kind",
          "modified Bessel function of the second kind"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any of class of special functions, usually denoted as two pairs of functions berₙ(x), beiₙ(x), kerₙ(x) and keiₙ(x) with variable x and given order number n. The former two functions berₙ(x) and beiₙ(x) respectively correspond to the real part and the imaginary part of the Kelvin differential equation's solution that can be expressed with the Bessel function of the first kind Jₙ(x), and the latter kerₙ(x) and keiₙ(x) correspond to those that can be expressed with the modified Bessel function of the second kind Kₙ(x)."
      ],
      "related": [
        {
          "word": "Kelvin differential equation"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Kelvin function"
}
{
  "etymology_templates": [
    {
      "args": {},
      "expansion": "|",
      "name": "!"
    },
    {
      "args": {
        "1": "en",
        "2": "Lord Kelvin"
      },
      "expansion": "Lord Kelvin",
      "name": "lang"
    },
    {
      "args": {
        "1": "en",
        "2": "Lord Kelvin",
        "wplink": "="
      },
      "expansion": "Named after Lord Kelvin",
      "name": "named-after"
    }
  ],
  "etymology_text": "Named after Lord Kelvin.",
  "forms": [
    {
      "form": "Kelvin functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Kelvin function (plural Kelvin functions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Kelvin differential equation"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "Any of class of special functions, usually denoted as two pairs of functions berₙ(x), beiₙ(x), kerₙ(x) and keiₙ(x) with variable x and given order number n. The former two functions berₙ(x) and beiₙ(x) respectively correspond to the real part and the imaginary part of the Kelvin differential equation's solution that can be expressed with the Bessel function of the first kind Jₙ(x), and the latter kerₙ(x) and keiₙ(x) correspond to those that can be expressed with the modified Bessel function of the second kind Kₙ(x)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "special function",
          "special function"
        ],
        [
          "Kelvin differential equation",
          "Kelvin differential equation"
        ],
        [
          "Bessel function of the first kind",
          "Bessel function of the first kind"
        ],
        [
          "modified Bessel function of the second kind",
          "modified Bessel function of the second kind"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any of class of special functions, usually denoted as two pairs of functions berₙ(x), beiₙ(x), kerₙ(x) and keiₙ(x) with variable x and given order number n. The former two functions berₙ(x) and beiₙ(x) respectively correspond to the real part and the imaginary part of the Kelvin differential equation's solution that can be expressed with the Bessel function of the first kind Jₙ(x), and the latter kerₙ(x) and keiₙ(x) correspond to those that can be expressed with the modified Bessel function of the second kind Kₙ(x)."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Kelvin function"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 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.