Random article ( of 1105 ) Latest updates

User Tools

Site Tools


content / mathematics / euler-mascheroni_constant

Wikenigma - an Encyclopedia of Unknowns Wikenigma - an Encyclopedia of the Unknown

Euler-Mascheroni constant

The Euler-Mascheroni Constant is defined as :

$$ {\displaystyle {\begin{aligned}\gamma =\lim _{n\to \infty }\left(-\ln n+\sum _{k=1}^{n}{\frac {1}{k}}\right)\\[5px]=\int _{1}^{\infty }\left(-{\frac {1}{x}}+{\frac {1}{\lfloor x\rfloor }}\right)\,dx.\end{aligned}}} $$

and equates to approximately 0.5772.

The constant was first described in 1734, and has now been (computationally) calculated to trillions of digits. It is still not known whether the number is 'rational'. In other words whether it's an infinite sequence or not.

Further information Wolfram MathWorld

THIS WEBSITE DOES NOT USE TRACKING, ADVERTISING, OR ANALYTICAL COOKIES OF ANY KIND.
All essential cookies (for login status etc) are automatically deleted at the end of the session.
(full details here)

Show another (random) article

Suggestions for corrections and ideas for articles are welcomed : Get in touch!


Further resources :