Khinchin theorem (continued fractions)
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
almost all real numbers
|
| gptkbp:excludes |
rational numbers
quadratic irrationals |
| gptkbp:field |
gptkb:probability_theory
number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Khinchin theorem (continued fractions)
|
| gptkbp:KhinchinConstant |
2.6854520010...
|
| gptkbp:namedAfter |
gptkb:Aleksandr_Khinchin
|
| gptkbp:publicationYear |
1935
|
| gptkbp:publisher |
gptkb:Mathematical_Annalen
|
| gptkbp:relatedConcept |
gptkb:Khinchin_constant
ergodic theory continued fraction |
| gptkbp:sentence |
For almost all real numbers, the geometric mean of the terms in their simple continued fraction expansion converges to a constant.
|
| gptkbp:bfsParent |
gptkb:Aleksandr_Khinchin
gptkb:Aleksandr_Yakovlevich_Khinchin |
| gptkbp:bfsLayer |
7
|