Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alternatingVersionConverges |
true
|
| gptkbp:convergesTo |
comparison test
integral test |
| gptkbp:definedIn |
sum of reciprocals of positive integers
|
| gptkbp:diverges |
true
|
| gptkbp:form |
1 + 1/2 + 1/3 + 1/4 + ...
|
| gptkbp:hasSpecialCase |
p-series with p=1
|
| https://www.w3.org/2000/01/rdf-schema#label |
Harmonic series
|
| gptkbp:namedAfter |
harmonics in music
|
| gptkbp:partialSumAsymptotic |
ln(n) + γ (Euler–Mascheroni constant)
|
| gptkbp:relatedTo |
gptkb:Euler–Mascheroni_constant
alternating harmonic series p-series |
| gptkbp:studiedBy |
gptkb:Nicole_Oresme
14th century |
| gptkbp:studiedIn |
mathematical analysis
|
| gptkbp:sum |
diverges to infinity
|
| gptkbp:usedIn |
gptkb:probability_theory
analysis of algorithms number theory |
| gptkbp:bfsParent |
gptkb:Mertens'_Theorem
|
| gptkbp:bfsLayer |
8
|