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'''Chebyshev's theorem''' is a name given to several theorems proven by [[Russia]]n [[mathematician]] [[Pafnuty Chebyshev]] | |||
* [[Bertrand's postulate]] | |||
* [[Chebyshev's inequality]] | |||
* [[Chebyshev's sum inequality]] | |||
* Chebyshev's [[equioscillation theorem]] | |||
* The statement that if the function <math>\scriptstyle \pi(x)\ln x/x</math> has a limit at infinity, then the limit is 1 (where π is the prime-counting function). This result has been superseded by the [[prime number theorem]]. | |||
{{mathdab}} | |||
Revision as of 08:05, 29 January 2014
Chebyshev's theorem is a name given to several theorems proven by Russian mathematician Pafnuty Chebyshev
- Bertrand's postulate
- Chebyshev's inequality
- Chebyshev's sum inequality
- Chebyshev's equioscillation theorem
- The statement that if the function has a limit at infinity, then the limit is 1 (where π is the prime-counting function). This result has been superseded by the prime number theorem.