Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
σ-finite measures
|
| gptkbp:field |
gptkb:mathematics
measure theory |
| gptkbp:generalizes |
gptkb:fundamental_theorem_of_calculus
|
| https://www.w3.org/2000/01/rdf-schema#label |
Radon-Nikodym theorem
|
| gptkbp:introducedIn |
early 20th century
|
| gptkbp:namedAfter |
gptkb:Otton_Nikodym
gptkb:Johann_Radon |
| gptkbp:provides |
gptkb:Radon-Nikodym_derivative
|
| gptkbp:relatedTo |
gptkb:Lebesgue_decomposition_theorem
absolute continuity |
| gptkbp:state |
If ν is absolutely continuous with respect to μ, then there exists a measurable function f such that dν = f dμ
|
| gptkbp:usedIn |
gptkb:probability_theory
functional analysis statistics |
| gptkbp:bfsParent |
gptkb:Real_Analysis
|
| gptkbp:bfsLayer |
7
|