"Chebyshev's theorem" meaning in English

See Chebyshev's theorem in All languages combined, or Wiktionary

Proper name

Etymology: From Pafnuty Chebyshev, the discoverer. Head templates: {{en-proper noun|head=Chebyshev's theorem}} Chebyshev's theorem
  1. The theorem that the prime counting function is of the same order of magnitude as x / ln x, i.e., for the prime counting function π, there are positive constants c and C such that:
    Sense id: en-Chebyshev's_theorem-en-name-HzLlq22m
  2. Bertrand's postulate, as proven by Chebyshev. Categories (topical): Mathematics
    Sense id: en-Chebyshev's_theorem-en-name-BFSu~RL4 Disambiguation of Mathematics: 10 41 49 Categories (other): Pages with 1 entry, Pages with entries Disambiguation of Pages with 1 entry: 4 43 53 Disambiguation of Pages with entries: 5 44 51
  3. Chebyshev's inequality. Categories (topical): Mathematics
    Sense id: en-Chebyshev's_theorem-en-name-YSKF1QOY Disambiguation of Mathematics: 10 41 49 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 5 42 53 Disambiguation of Pages with 1 entry: 4 43 53 Disambiguation of Pages with entries: 5 44 51
{
  "etymology_text": "From Pafnuty Chebyshev, the discoverer.",
  "head_templates": [
    {
      "args": {
        "head": "Chebyshev's theorem"
      },
      "expansion": "Chebyshev's theorem",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "examples": [
        {
          "text": "∀x∈ℕ:"
        }
      ],
      "glosses": [
        "The theorem that the prime counting function is of the same order of magnitude as x / ln x, i.e., for the prime counting function π, there are positive constants c and C such that"
      ],
      "id": "en-Chebyshev's_theorem-en-name-HzLlq22m",
      "raw_glosses": [
        "The theorem that the prime counting function is of the same order of magnitude as x / ln x, i.e., for the prime counting function π, there are positive constants c and C such that:"
      ]
    },
    {
      "categories": [
        {
          "_dis": "4 43 53",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "5 44 51",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "10 41 49",
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Bertrand's postulate, as proven by Chebyshev."
      ],
      "id": "en-Chebyshev's_theorem-en-name-BFSu~RL4",
      "links": [
        [
          "Bertrand's postulate",
          "Bertrand's postulate"
        ]
      ]
    },
    {
      "categories": [
        {
          "_dis": "5 42 53",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "4 43 53",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "5 44 51",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "10 41 49",
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Chebyshev's inequality."
      ],
      "id": "en-Chebyshev's_theorem-en-name-YSKF1QOY",
      "links": [
        [
          "Chebyshev's inequality",
          "Chebyshev's inequality"
        ]
      ]
    }
  ],
  "wikipedia": [
    "Pafnuty Chebyshev"
  ],
  "word": "Chebyshev's theorem"
}
{
  "categories": [
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English proper nouns",
    "English uncountable nouns",
    "Pages with 1 entry",
    "Pages with entries",
    "en:Mathematics"
  ],
  "etymology_text": "From Pafnuty Chebyshev, the discoverer.",
  "head_templates": [
    {
      "args": {
        "head": "Chebyshev's theorem"
      },
      "expansion": "Chebyshev's theorem",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "examples": [
        {
          "text": "∀x∈ℕ:"
        }
      ],
      "glosses": [
        "The theorem that the prime counting function is of the same order of magnitude as x / ln x, i.e., for the prime counting function π, there are positive constants c and C such that"
      ],
      "raw_glosses": [
        "The theorem that the prime counting function is of the same order of magnitude as x / ln x, i.e., for the prime counting function π, there are positive constants c and C such that:"
      ]
    },
    {
      "glosses": [
        "Bertrand's postulate, as proven by Chebyshev."
      ],
      "links": [
        [
          "Bertrand's postulate",
          "Bertrand's postulate"
        ]
      ]
    },
    {
      "glosses": [
        "Chebyshev's inequality."
      ],
      "links": [
        [
          "Chebyshev's inequality",
          "Chebyshev's inequality"
        ]
      ]
    }
  ],
  "wikipedia": [
    "Pafnuty Chebyshev"
  ],
  "word": "Chebyshev's theorem"
}

Download raw JSONL data for Chebyshev's theorem meaning in English (1.2kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-04-10 from the enwiktionary dump dated 2025-04-03 using wiktextract (74c5344 and fb63907). 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.