"Budan's theorem" meaning in All languages combined

See Budan's theorem on Wiktionary

Proper name [English]

Etymology: The theorem was published in 1807 by François Budan de Boislaurent. Head templates: {{en-prop}} Budan's theorem
  1. (mathematics) A theorem for bounding the number of real roots of a polynomial in an interval, and computing the parity of this number. Categories (topical): Mathematics Related terms: Budan-Fourier theorem, Fourier-Budan theorem
    Sense id: en-Budan's_theorem-en-name-I0kTEnWt Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences
{
  "etymology_text": "The theorem was published in 1807 by François Budan de Boislaurent.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Budan's theorem",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "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": [
        "A theorem for bounding the number of real roots of a polynomial in an interval, and computing the parity of this number."
      ],
      "id": "en-Budan's_theorem-en-name-I0kTEnWt",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "bound",
          "bound"
        ],
        [
          "real",
          "real"
        ],
        [
          "root",
          "root"
        ],
        [
          "polynomial",
          "polynomial"
        ],
        [
          "interval",
          "interval"
        ],
        [
          "parity",
          "parity"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A theorem for bounding the number of real roots of a polynomial in an interval, and computing the parity of this number."
      ],
      "related": [
        {
          "word": "Budan-Fourier theorem"
        },
        {
          "word": "Fourier-Budan theorem"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Budan's theorem"
}
{
  "etymology_text": "The theorem was published in 1807 by François Budan de Boislaurent.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Budan's theorem",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "Budan-Fourier theorem"
    },
    {
      "word": "Fourier-Budan theorem"
    }
  ],
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "A theorem for bounding the number of real roots of a polynomial in an interval, and computing the parity of this number."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "bound",
          "bound"
        ],
        [
          "real",
          "real"
        ],
        [
          "root",
          "root"
        ],
        [
          "polynomial",
          "polynomial"
        ],
        [
          "interval",
          "interval"
        ],
        [
          "parity",
          "parity"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A theorem for bounding the number of real roots of a polynomial in an interval, and computing the parity of this number."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Budan's theorem"
}

Download raw JSONL data for Budan's theorem meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 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.

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.