Leibniz formula for π
id:
leibniz-formula-for-177-17950848
title:
Leibniz formula for π
text:
In mathematics, the Leibniz formula for π, named after Gottfried Wilhelm Leibniz, states that π 4 = 1 − 1 3 + 1 5 − 1 7 + 1 9 − ⋯ = ∑ k = 0 ∞ k 2 k + 1, an alternating series. It is sometimes called the Madhava–Leibniz series as it was first discovered by the Indian mathematician Madhava of Sangamagrama or his followers in the 14th–15th century, and was later independently rediscovered by James Gregory in 1671 and Leibniz in 1673. The Taylor series for the inverse tangent function, often called
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wiki
category slug:
encyclopedia
description:
Signed odd unit fractions sum to π/4
original url:
https://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80
date created:
2004-12-20T06:59:41Z
date modified:
2024-09-04T08:03:54Z
main entity:
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image:
fields total:
13
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15