| 释义 |
Definition of Euler's constant in English: Euler's constantnoun 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. 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 constantnoun 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. 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). |