Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematics
|
| gptkbp:appliesTo |
infinite series
series of non-negative, non-increasing terms |
| gptkbp:category |
convergence tests
|
| gptkbp:field |
gptkb:mathematics
analysis |
| gptkbp:firstPublished |
1821
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy condensation test
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:relatedTo |
comparison test
integral test |
| gptkbp:sentence |
A series sum a_n with a_n non-negative and non-increasing converges if and only if the series sum 2^k a_{2^k} converges.
|
| gptkbp:usedFor |
determining convergence of series
|
| gptkbp:bfsParent |
gptkb:Cauchy,_Augustin-Louis
gptkb:harmonic_series |
| gptkbp:bfsLayer |
7
|