Les probabilités dénombrables et leurs applications arithmétiques

Borel, M. É. (1909). Les probabilités dénombrables et leurs applications arithmétiques. Rendiconti del Circolo Matematico di Palermo, 27, 247-271.

Type

Journal article

Intellectual base

Primary research

Year

1909

DOI

10.1007/bf03019651

Link

https://doi.org/10.1007/BF03019651

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Eventual Realisation of Possibility
  • The mathematical core is the second Borel-Cantelli lemma and the recurrence theorems of ergodic theory: given enough draws, generations, exposures, or time, what can happen will happen, and will happen arbitrarily often.

    This sourceOrigin of the Borel–Cantelli lemmas; the second lemma states that for independent events with divergent probability sum, the event occurs infinitely often almost surely.

Domain-specific

• Normal Number
  • Borel introduced the property in 1909 and proved that almost every real number, in the sense of Lebesgue measure, is absolutely normal.

Verification

This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.

Registry ID ref:d675e583b752 · see in the full table