Lemniscate constant
id:
lemniscate-constant-184-16597553
title:
Lemniscate constant
text:
In mathematics, the lemniscate constant ϖ is a transcendental mathematical constant that is the ratio of the perimeter of Bernoulli's lemniscate to its diameter, analogous to the definition of π for the circle. Equivalently, the perimeter of the lemniscate 2 = x 2 − y 2 is 2ϖ. The lemniscate constant is closely related to the lemniscate elliptic functions and approximately equal to 2.62205755. It also appears in evaluation of the gamma and beta function at certain rational values. The symbol ϖ i
brand slug:
wiki
category slug:
encyclopedia
description:
Ratio of the perimeter of Bernoulli's lemniscate to its diameter
original url:
https://en.wikipedia.org/wiki/Lemniscate_constant
date created:
2005-06-20T14:03:00Z
date modified:
2024-09-07T15:48:53Z
main entity:
{"identifier":"Q1248689","url":"https://www.wikidata.org/entity/Q1248689"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/ef/Lemniscate_of_Bernoulli.svg","width":800,"height":300}
fields total:
13
integrity:
16