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Online English Turkish and Multilingual Dictionary 20+ million words and idioms.
chebyshev's theorem
English - English
Definition of
chebyshev's theorem
in English English dictionary
an alternative name for Chebyshev's inequality
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:
\forall x\in\mathbb{N}:.
an alternative name for Bertrand's postulate, as proven by Chebyshev
Related Terms
Bertrand-Chebyshev
theorem
the theorem that there is at least one prime number between n and 2n for every n>1, i.e.:
\forall n\in\mathbb{N}:n>1\Rightarrow\exists p\in\mathbb{P}:n.
chebyshev's theorem
Hyphenation
chebyshev's the·o·rem
Pronunciation
Etymology
() From Pafnuty Chebyshev, the discoverer
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