Machin-like formula
id:
machin-like-formula-170-16935727
title:
Machin-like formula
text:
In mathematics, Machin-like formulas are a popular technique for computing π to a large number of digits. They are generalizations of John Machin's formula from 1706:
- π 4 = 4 arctan 1 5 − arctan 1 239 which he used to compute π to 100 decimal places. Machin-like formulas have the form where c 0 is a positive integer, c n are signed non-zero integers, and a n and b n are positive integers such that a n < b n. These formulas are used in conjunction with Gregory's series, the Taylor series
brand slug:
wiki
category slug:
encyclopedia
description:
Formulas for pi
original url:
https://en.wikipedia.org/wiki/Machin-like_formula
date created:
2005-09-21T13:21:25Z
date modified:
2024-09-01T06:02:53Z
main entity:
{"identifier":"Q3077635","url":"https://www.wikidata.org/entity/Q3077635"}
image:
fields total:
13
integrity:
15