"Airy equation" meaning in English

See Airy equation in All languages combined, or Wiktionary

Noun

Forms: Airy equations [plural]
Etymology: Named after George Biddell Airy. Head templates: {{en-noun}} Airy equation (plural Airy equations)
  1. (mathematics) (d²ʸ)/(dx²)-xy=0,,!, the simplest second-order linear differential equation with a turning point (a point where the character of the solutions changes from oscillatory to exponential). Wikipedia link: Airy equation, George Biddell Airy Categories (topical): Mathematics Synonyms: Stokes equation Related terms: Airy beam, Airy function, Airy integral Translations (the simplest second-order linear differential equation with a turning point): equação de Airy [feminine] (Portuguese)

Inflected forms

{
  "etymology_text": "Named after George Biddell Airy.",
  "forms": [
    {
      "form": "Airy equations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Airy equation (plural Airy equations)",
      "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": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Portuguese translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "(d²ʸ)/(dx²)-xy=0,,!, the simplest second-order linear differential equation with a turning point (a point where the character of the solutions changes from oscillatory to exponential)."
      ],
      "id": "en-Airy_equation-en-noun-2H-uLC1k",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "second-order",
          "second-order"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "differential equation",
          "differential equation"
        ],
        [
          "turning point",
          "turning point"
        ]
      ],
      "raw_glosses": [
        "(mathematics) (d²ʸ)/(dx²)-xy=0,,!, the simplest second-order linear differential equation with a turning point (a point where the character of the solutions changes from oscillatory to exponential)."
      ],
      "related": [
        {
          "word": "Airy beam"
        },
        {
          "word": "Airy function"
        },
        {
          "word": "Airy integral"
        }
      ],
      "synonyms": [
        {
          "word": "Stokes equation"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "the simplest second-order linear differential equation with a turning point",
          "tags": [
            "feminine"
          ],
          "word": "equação de Airy"
        }
      ],
      "wikipedia": [
        "Airy equation",
        "George Biddell Airy"
      ]
    }
  ],
  "word": "Airy equation"
}
{
  "etymology_text": "Named after George Biddell Airy.",
  "forms": [
    {
      "form": "Airy equations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Airy equation (plural Airy equations)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Airy beam"
    },
    {
      "word": "Airy function"
    },
    {
      "word": "Airy integral"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "Pages with 1 entry",
        "Terms with Portuguese translations",
        "en:Mathematics"
      ],
      "glosses": [
        "(d²ʸ)/(dx²)-xy=0,,!, the simplest second-order linear differential equation with a turning point (a point where the character of the solutions changes from oscillatory to exponential)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "second-order",
          "second-order"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "differential equation",
          "differential equation"
        ],
        [
          "turning point",
          "turning point"
        ]
      ],
      "raw_glosses": [
        "(mathematics) (d²ʸ)/(dx²)-xy=0,,!, the simplest second-order linear differential equation with a turning point (a point where the character of the solutions changes from oscillatory to exponential)."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Airy equation",
        "George Biddell Airy"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "Stokes equation"
    }
  ],
  "translations": [
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "the simplest second-order linear differential equation with a turning point",
      "tags": [
        "feminine"
      ],
      "word": "equação de Airy"
    }
  ],
  "word": "Airy equation"
}

Download raw JSONL data for Airy equation meaning in English (1.7kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-09-01 from the enwiktionary dump dated 2024-08-20 using wiktextract (8e41825 and f99c758). 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.