Bernoulli number

Summary

Bernoulli number is a sequence of real numbers^[1]. It draws 223 Wikipedia views per month (sequence_of_real_numbers category, ranking #1 of 3).^[2]

Key Facts

• Bernoulli number is credited with the discovery of Jacob Bernoulli^[3].
• Bernoulli number is credited with the discovery of Takakazu Seki^[4].
• Bernoulli number's image is recorded as Bernoulli numbers graphs.svg^[5].
• Bernoulli number's image is recorded as Bernoulli numbers logarithmic growth.png^[6].
• Bernoulli number's instance of is recorded as sequence of real numbers^[7].
• Bernoulli number's instance of is recorded as mathematical concept^[8].
• Jacob Bernoulli is named after Bernoulli number^[9].
• Bernoulli number's GND ID is recorded as 4276648-5^[10].
• Bernoulli number's Library of Congress authority ID is recorded as sh85013375^[11].
• Bernoulli number's Bibliothèque nationale de France ID is recorded as 12286125h^[12].
• Bernoulli number's subclass of is recorded as rational number^[13].
• Bernoulli number's Commons category is recorded as Bernoulli numbers^[14].
• Bernoulli number's BNCF Thesaurus ID is recorded as 37195^[15].
• Bernoulli number's time of discovery or invention is recorded as +1710-00-00T00:00:00Z^[16].
• Bernoulli number's Freebase ID is recorded as /m/01klw^[17].
• Bernoulli number's NL CR AUT ID is recorded as ph982960^[18].
• Bernoulli number's OEIS ID is recorded as A027642^[19].
• Bernoulli number's OEIS ID is recorded as A027641^[20].
• Bernoulli number's Dewey Decimal Classification is recorded as 512.72^[21].
• Bernoulli number's Gran Enciclopèdia Catalana ID is recorded as 0009534^[22].
• Bernoulli number's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics^[23].
• Bernoulli number's Stack Exchange tag is recorded as https://stackoverflow.com/tags/bernoulli-numbers^[24].
• Bernoulli number's FAST ID is recorded as 830779^[25].
• Bernoulli number's defining formula is recorded as \mathrm{B}n = \begin{cases} -\frac{1}{n + 1} \sum{k = 0}^{n - 1} \binom{n + 1}{k} \mathrm{B}_k & n > 0 \ 1 & n = 0 \end{cases}^[26].
• Bernoulli number's MathWorld ID is recorded as BernoulliNumber^[27].

Body

Works and Contributions

Credited discoveries include Jacob Bernoulli^[3], a mathematician^[28], 1655–1705^[29], of Switzerland^[30], specialised in probability theory^[31] and Takakazu Seki^[4], a mathematician^[32], 1642–1708^[33], of Japan^[34].

Why It Matters

Bernoulli number draws 223 Wikipedia views per month (sequence_of_real_numbers category, ranking #1 of 3).^[2] It has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.^[35] It is known by 30 alternative names across languages and contexts.^[36]