"Sturm sequence" meaning in All languages combined

See Sturm sequence on Wiktionary

Noun [English]

Forms: Sturm sequences [plural]
Etymology: Named after Jacques Charles François Sturm. Head templates: {{en-noun}} Sturm sequence (plural Sturm sequences)
  1. (mathematics) For some univariate polynomial p, a sequence of polynomials associated with p and its derivative by a variant of Euclid's algorithm for polynomials. Wikipedia link: Sturm sequence Categories (topical): Mathematics
    Sense id: en-Sturm_sequence-en-noun-sAUKjqEw Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

{
  "etymology_text": "Named after Jacques Charles François Sturm.",
  "forms": [
    {
      "form": "Sturm sequences",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Sturm sequence (plural Sturm sequences)",
      "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": [
        "For some univariate polynomial p, a sequence of polynomials associated with p and its derivative by a variant of Euclid's algorithm for polynomials."
      ],
      "id": "en-Sturm_sequence-en-noun-sAUKjqEw",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "univariate",
          "univariate"
        ],
        [
          "polynomial",
          "polynomial"
        ],
        [
          "derivative",
          "derivative"
        ]
      ],
      "raw_glosses": [
        "(mathematics) For some univariate polynomial p, a sequence of polynomials associated with p and its derivative by a variant of Euclid's algorithm for polynomials."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Sturm sequence"
      ]
    }
  ],
  "word": "Sturm sequence"
}
{
  "etymology_text": "Named after Jacques Charles François Sturm.",
  "forms": [
    {
      "form": "Sturm sequences",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Sturm sequence (plural Sturm sequences)",
      "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": [
        "For some univariate polynomial p, a sequence of polynomials associated with p and its derivative by a variant of Euclid's algorithm for polynomials."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "univariate",
          "univariate"
        ],
        [
          "polynomial",
          "polynomial"
        ],
        [
          "derivative",
          "derivative"
        ]
      ],
      "raw_glosses": [
        "(mathematics) For some univariate polynomial p, a sequence of polynomials associated with p and its derivative by a variant of Euclid's algorithm for polynomials."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Sturm sequence"
      ]
    }
  ],
  "word": "Sturm sequence"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.