"Sturm sequence" meaning in English

See Sturm sequence in All languages combined, or Wiktionary

Noun

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 English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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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