harmonic series

GPTKB entity

Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:convergesTo gptkb:Cauchy_condensation_test
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:generalizes generalized harmonic series
https://www.w3.org/2000/01/rdf-schema#label harmonic series
gptkbp:namedAfter harmonics in music
gptkbp:p-series p=1
gptkbp:partialSum diverges logarithmically
gptkbp:relatedTo gptkb:Euler–Mascheroni_constant
harmonic number
alternating harmonic series
p-series
gptkbp:studiedBy gptkb:Nicole_Oresme
14th century
gptkbp:studiedIn mathematical analysis
gptkbp:sumToInfinity infinite
gptkbp:usedIn gptkb:probability_theory
Fourier analysis
number theory
gptkbp:bfsParent gptkb:Euler–Mascheroni_constant
gptkb:A_series
gptkbp:bfsLayer 6