Definition of Euler's constant in English:

Euler's constant

noun

Mathematics

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 − ln n as n tends to infinity. It is not known whether this is a rational number or not.
〔数〕欧拉常数
Example sentencesExamples
- 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.
- It's been called the logarithmic constant, Napier's number, Euler's constant, and the natural logarithmic base.
- This is Euler's constant, named after the famous Swiss mathematician Leonard Euler.
- He investigated the series and calculated Euler's constant to 15 decimal places.

Origin

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

Definition of Euler's constant in US English:

Euler's constant

noun

Mathematics

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.
〔数〕欧拉常数
Example sentencesExamples
- He investigated the series and calculated Euler's constant to 15 decimal places.
- It's been called the logarithmic constant, Napier's number, Euler's constant, and the natural logarithmic base.
- This is Euler's constant, named after the famous Swiss mathematician Leonard Euler.
- 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).

词汇	Euler's constant
释义	Definition of Euler's constant in English: Euler's constant noun Mathematics 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 − ln n as n tends to infinity. It is not known whether this is a rational number or not. 〔数〕欧拉常数 Example sentencesExamples 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. It's been called the logarithmic constant, Napier's number, Euler's constant, and the natural logarithmic base. This is Euler's constant, named after the famous Swiss mathematician Leonard Euler. He investigated the series and calculated Euler's constant to 15 decimal places. Origin Mid 19th century: named after L. Euler (see Euler, Leonhard). Definition of Euler's constant in US English: Euler's constant noun Mathematics 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. 〔数〕欧拉常数 Example sentencesExamples He investigated the series and calculated Euler's constant to 15 decimal places. It's been called the logarithmic constant, Napier's number, Euler's constant, and the natural logarithmic base. This is Euler's constant, named after the famous Swiss mathematician Leonard Euler. 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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