See Kelvin function in All languages combined, or Wiktionary
{ "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": "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": [ "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", "Pages with 1 entry", "Pages with entries", "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" }
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-10 from the enwiktionary dump dated 2025-01-01 using wiktextract (df33d17 and 4ed51a5). 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.
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