Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:branch_of_number_theory
|
| gptkbp:appliesTo |
continued fractions
irrationality measure distribution modulo 1 normal numbers probabilistic methods in number theory |
| gptkbp:concerns |
sets of full measure
sets of measure zero |
| gptkbp:focusesOn |
gptkb:Diophantine_approximation
|
| gptkbp:notableAchievement |
gptkb:Khintchine's_theorem
gptkb:Duffin–Schaeffer_conjecture gptkb:Jarník–Besicovitch_theorem |
| gptkbp:notablePerson |
gptkb:Aleksandr_Khintchine
gptkb:Robert_C._Vaughan gptkb:V._G._Sprindzuk gptkb:Wolfgang_M._Schmidt |
| gptkbp:relatedTo |
gptkb:probability_theory
measure theory real analysis |
| gptkbp:studies |
almost all properties of numbers
properties of numbers with respect to measure theory |
| gptkbp:uses |
gptkb:Hausdorff_dimension
Lebesgue measure |
| gptkbp:bfsParent |
gptkb:Diophantine_approximation
gptkb:Littlewood_conjecture |
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
metric number theory
|