# Euler's constant

Syllabification: Eu·ler's con·stant
Mathematics

## Definition of Euler's constant in English:

A constant used in numerical analysis, approximately equal to 0.577216. It represents the limit of the series 1 + 1/2 + 1/3 + 1/4 + ... 1/n − (natural logarithm of n), as n tends to infinity. It is not known whether this is a rational number or not.
Example sentences
• He investigated the series and calculated Euler's constant to 15 decimal places.
• In Adnotationes ad calculum integrale Euleri Mascheroni calculated Euler's constant to 32 decimal places.
• For example he computed Euler's constant to 1271 decimal places and published the result in 1962.

### Origin

mid 19th century: named after L. Euler (see Euler, Leonhard).

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chord 2 commutative conjugate derivative equivalence relation
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