Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Gregory-Leibniz_series
gptkb:Leibniz_formula_for_π |
| gptkbp:convergesTo |
π/4
|
| gptkbp:discoveredBy |
gptkb:Gottfried_Wilhelm_Leibniz
gptkb:James_Gregory gptkb:Madhava_of_Sangamagrama |
| gptkbp:expressedIn |
Σ_{n=0}^∞ [(-1)^n/(2n+1)] = π/4
|
| gptkbp:field |
gptkb:mathematics
analysis calculus infinite series |
| gptkbp:firstPublished |
1676
|
| gptkbp:form |
π/4 = 1 - 1/3 + 1/5 - 1/7 + ...
|
| gptkbp:hasSpecialCase |
Taylor series for arctangent
|
| https://www.w3.org/2000/01/rdf-schema#label |
Madhava-Leibniz series
|
| gptkbp:namedAfter |
gptkb:Gottfried_Wilhelm_Leibniz
gptkb:Madhava_of_Sangamagrama |
| gptkbp:rateOfConvergence |
slow
|
| gptkbp:relatedTo |
gptkb:Basel_problem
Fourier series power series arctangent function |
| gptkbp:type |
gptkb:Taylor_series
alternating series |
| gptkbp:usedFor |
approximating π
|
| gptkbp:bfsParent |
gptkb:Gregory_method
gptkb:Kerala_school |
| gptkbp:bfsLayer |
5
|