Euler number
integer sequence defined by the Taylor series expansion of the hyperbolic secant function and also appearing in that of the secant function
Press Enter · cited answer in seconds
0 sources
Euler number
Summary
Euler number is a type of integer[1]. It draws 91 Wikipedia views per month (type_of_integer category, ranking #17 of 70).[2]
Key Facts
- Euler number's instance of is recorded as type of integer[3].
- Euler number's instance of is recorded as integer sequence[4].
- Leonhard Euler is named after Euler number[5].
- Euler number's subclass of is recorded as integer[6].
- Euler number's BNCF Thesaurus ID is recorded as 37200[7].
- Euler number's Freebase ID is recorded as /m/0cn5v[8].
- Euler number's OEIS ID is recorded as A028296[9].
- Euler number's described by source is recorded as Meyers Konversations-Lexikon, 4th edition (1885–1890)[10].
- Euler number's different from is recorded as Euler's number[11].
- Euler number's different from is recorded as Euler number[12].
- Euler number's different from is recorded as Eulerian number[13].
- Euler number's defining formula is recorded as \frac{1}{\cosh t} = \frac{2}{e^{t} + e^ {-t} } = \sum_{n=0}^\infty \frac{E_n}{n!} \cdot t^n[14].
- Euler number's MathWorld ID is recorded as EulerNumber[15].
- Euler number's Quora topic ID is recorded as e-Eulers-Number[16].
- Euler number's Quora topic ID is recorded as Euler-Number[17].
- Euler number's maintained by WikiProject is recorded as WikiProject Mathematics[18].
- Euler number's Microsoft Academic ID is recorded as 175432214[19].
- Euler number's in defining formula is recorded as E_n[20].
- Euler number's in defining formula is recorded as e^t[21].
- Euler number's in defining formula is recorded as \frac{1}{\cosh t}[22].
- Euler number's in defining formula is recorded as t[23].
- Euler number's in defining formula is recorded as n![24].
- Euler number's in defining formula is recorded as \sum\limits_{n = 0}^{\infty}[25].
- Euler number's in defining formula is recorded as \infty[26].
Why It Matters
Euler number draws 91 Wikipedia views per month (type_of_integer category, ranking #17 of 70).[2] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.[27] It is known by 11 alternative names across languages and contexts.[28]