"Appell sequence" meaning in English

See Appell sequence in All languages combined, or Wiktionary

Noun

Forms: Appell sequences [plural]
Etymology: Named after Paul Émile Appell. Head templates: {{en-noun}} Appell sequence (plural Appell sequences)
  1. (mathematics) Any polynomial sequence p_n(x)_(n=0,1,2,…) satisfying the identity d/(dx)p_n(x)=np_n-1(x), and in which p_0(x) is a non-zero constant. Wikipedia link: Appell sequence, Paul Émile Appell Categories (topical): Mathematics
    Sense id: en-Appell_sequence-en-noun-LVvWgNxr Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

{
  "etymology_text": "Named after Paul Émile Appell.",
  "forms": [
    {
      "form": "Appell sequences",
      "tags": [
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  "senses": [
    {
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          "kind": "other",
          "name": "English entries with incorrect language header",
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          "orig": "en:Mathematics",
          "parents": [
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            "Sciences",
            "All topics",
            "Fundamental"
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        }
      ],
      "glosses": [
        "Any polynomial sequence p_n(x)_(n=0,1,2,…) satisfying the identity d/(dx)p_n(x)=np_n-1(x), and in which p_0(x) is a non-zero constant."
      ],
      "id": "en-Appell_sequence-en-noun-LVvWgNxr",
      "links": [
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        [
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        ],
        [
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        ],
        [
          "constant",
          "constant"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any polynomial sequence p_n(x)_(n=0,1,2,…) satisfying the identity d/(dx)p_n(x)=np_n-1(x), and in which p_0(x) is a non-zero constant."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Appell sequence",
        "Paul Émile Appell"
      ]
    }
  ],
  "word": "Appell sequence"
}
{
  "etymology_text": "Named after Paul Émile Appell.",
  "forms": [
    {
      "form": "Appell sequences",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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  "lang_code": "en",
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  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
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        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "Any polynomial sequence p_n(x)_(n=0,1,2,…) satisfying the identity d/(dx)p_n(x)=np_n-1(x), and in which p_0(x) is a non-zero constant."
      ],
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        "(mathematics) Any polynomial sequence p_n(x)_(n=0,1,2,…) satisfying the identity d/(dx)p_n(x)=np_n-1(x), and in which p_0(x) is a non-zero constant."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
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        "Paul Émile Appell"
      ]
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  ],
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}

Download raw JSONL data for Appell sequence meaning in English (1.1kB)


This page is a part of the kaikki.org machine-readable English 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.

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