"Pisot-Vijayaraghavan number" meaning in English

See Pisot-Vijayaraghavan number in All languages combined, or Wiktionary

Noun

Forms: Pisot-Vijayaraghavan numbers [plural]
Etymology: They became widely known after the publication of Charles Pisot's dissertation in 1938. Tirukkannapuram Vijayaraghavan continued their study in the 1940s. Head templates: {{en-noun}} Pisot-Vijayaraghavan number (plural Pisot-Vijayaraghavan numbers)
  1. (mathematics) A real algebraic integer greater than 1 all of whose Galois conjugates are less than 1 in absolute value. Categories (topical): Mathematics Synonyms: Pisot number, PV number

Inflected forms

Download JSON data for Pisot-Vijayaraghavan number meaning in English (1.7kB)

{
  "etymology_text": "They became widely known after the publication of Charles Pisot's dissertation in 1938. Tirukkannapuram Vijayaraghavan continued their study in the 1940s.",
  "forms": [
    {
      "form": "Pisot-Vijayaraghavan numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Pisot-Vijayaraghavan number (plural Pisot-Vijayaraghavan numbers)",
      "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": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A real algebraic integer greater than 1 all of whose Galois conjugates are less than 1 in absolute value."
      ],
      "id": "en-Pisot-Vijayaraghavan_number-en-noun-KcKUOOjU",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "Galois conjugate",
          "Galois conjugate"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A real algebraic integer greater than 1 all of whose Galois conjugates are less than 1 in absolute value."
      ],
      "synonyms": [
        {
          "word": "Pisot number"
        },
        {
          "word": "PV number"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Pisot-Vijayaraghavan number"
}
{
  "etymology_text": "They became widely known after the publication of Charles Pisot's dissertation in 1938. Tirukkannapuram Vijayaraghavan continued their study in the 1940s.",
  "forms": [
    {
      "form": "Pisot-Vijayaraghavan numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Pisot-Vijayaraghavan number (plural Pisot-Vijayaraghavan numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "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",
        "en:Mathematics"
      ],
      "glosses": [
        "A real algebraic integer greater than 1 all of whose Galois conjugates are less than 1 in absolute value."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "Galois conjugate",
          "Galois conjugate"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A real algebraic integer greater than 1 all of whose Galois conjugates are less than 1 in absolute value."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "Pisot number"
    },
    {
      "word": "PV number"
    }
  ],
  "word": "Pisot-Vijayaraghavan number"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.