Visit the forum if you have a language query!

# Chebyshev's theorem

Definition from Dictionary, a free dictionary

Most people ask for happiness on condition. Happiness can only be felt if you don't set any condition.

Arthur Rubinstein## English

### Etymology

From Pafnuty Chebyshev, the discoverer

### Noun

**Chebyshev's theorem**

- 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:- <math>\forall x\in\mathbb{N}:

\frac{cx}{\ln x} <= \pi(x) <= \frac{Cx}{\ln x}</math>

- an alternative name for Bertrand's postulate, as proven by Chebyshev
- an alternative name for Chebyshev's inequality

## Elsewhere on the web

## En-En | ## En-It | ## En-Fr | ## En-El | ## En-Sp | ## En-Mul | ## En-De |

Onelook | IATE | IATE | IATE | IATE | ProZ | Dict.cc |

Wordnik | IATE | Linguee | ||||

IATE |