"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-K1YJnRjT Categories (other): English entries with incorrect language header, English terms with non-redundant non-automated sortkeys Disambiguation of English entries with incorrect language header: 18 37 45 Disambiguation of English terms with non-redundant non-automated sortkeys: 20 37 43
  2. Bertrand's postulate, as proven by Chebyshev.
    Sense id: en-Chebyshev's_theorem-en-name-BFSu~RL4 Categories (other): English entries with incorrect language header, English terms with non-redundant non-automated sortkeys Disambiguation of English entries with incorrect language header: 18 37 45 Disambiguation of English terms with non-redundant non-automated sortkeys: 20 37 43
  3. Chebyshev's inequality. Categories (topical): Mathematics
    Sense id: en-Chebyshev's_theorem-en-name-YSKF1QOY Disambiguation of Mathematics: 23 33 43 Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup, English terms with non-redundant non-automated sortkeys Disambiguation of English entries with incorrect language header: 18 37 45 Disambiguation of English entries with topic categories using raw markup: 14 27 59 Disambiguation of English terms with non-redundant non-automated sortkeys: 20 37 43

Download JSON data for Chebyshev's theorem meaning in English (2.9kB)

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          "text": "∀x∈ℕ:"
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        "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:",
        "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"
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        "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:"
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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 2024-05-03 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.

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