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Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Diophantine_approximation
irrational rotations on the circle |
| gptkbp:field |
harmonic analysis
number theory |
| gptkbp:generalizes |
density of fractional parts
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kronecker's theorem
|
| gptkbp:namedAfter |
gptkb:Leopold_Kronecker
|
| gptkbp:publishedIn |
gptkb:Mathematische_Werke
|
| gptkbp:relatedTo |
gptkb:Weyl's_equidistribution_theorem
|
| gptkbp:sentence |
If α is an irrational real number, then the set {nα mod 1 : n ∈ ℕ} is dense in [0,1].
|
| gptkbp:usedIn |
Fourier analysis
ergodic theory |
| gptkbp:variant |
gptkb:Kronecker's_approximation_theorem
|
| gptkbp:yearProposed |
1884
|
| gptkbp:bfsParent |
gptkb:Leopold_Kronecker
|
| gptkbp:bfsLayer |
4
|