Madhava-Leibniz series for pi
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Gregory-Leibniz_series
gptkb:Leibniz_formula_for_pi |
| gptkbp:convergesTo |
pi
|
| gptkbp:discoveredBy |
gptkb:Gottfried_Wilhelm_Leibniz
gptkb:James_Gregory gptkb:Madhava_of_Sangamagrama |
| gptkbp:discoveredIn |
14th century
|
| gptkbp:field |
gptkb:mathematics
calculus infinite series |
| gptkbp:first_terms |
4
-4/3 -4/7 4/5 |
| gptkbp:form |
π = 4 × (1 - 1/3 + 1/5 - 1/7 + 1/9 - ... )
|
| gptkbp:hasSpecialCase |
Taylor series for arctan(x) at x=1
|
| gptkbp:namedAfter |
gptkb:Gottfried_Wilhelm_Leibniz
gptkb:Madhava_of_Sangamagrama |
| gptkbp:rateOfConvergence |
slow
|
| gptkbp:relatedTo |
Taylor series of arctangent
|
| gptkbp:type |
infinite series
alternating series |
| gptkbp:usedFor |
approximating pi
|
| gptkbp:bfsParent |
gptkb:Madhava_of_Sangamagrama
|
| gptkbp:bfsLayer |
6
|
| http://www.w3.org/2000/01/rdf-schema#label |
Madhava-Leibniz series for pi
|