Word.ws English Dictionary

Bernoulli number

Bernoulli number noun: any one of the rational numbers in a sequence of such that appears in numerous contexts, including formulae for sums of integer powers and certain power series expansions.

Noun

Bernoulli number (plural Bernoulli numbers)

  1. Any one of the rational numbers in a sequence of such that appears in numerous contexts, including formulae for sums of integer powers and certain power series expansions.
    • The assertion about the value of the zeta function at negative integers then comes immediately from the definition of the Bernoulli numbers in terms of the coefficients of a power series, namely
      t/(eᵗ-1)=∑ₙ₌₀ ᪲B_n(tⁿ)/(n!)1993, Serge Lang, Complex Analysis, Springer, 3rd Edition, page 418
    • In the first three sections, we present standard results about the Bernoulli numbers and polynomials and the Riemann zeta functions and its zeros.2002, M. Aslam Chaudhry, Syed M. Zubair, On a Class of Incomplete Gamma Functions with Applications, CRC Press (Chapman & Hall/CRC), page 287

Bernoulli number meaning in Tamil

Bernoulli number in Tamil

பெர்னாலி எண்

Forms of Bernoulli number

pluralBernoulli numbers
alternative formBernoulli's number

Origin of Bernoulli number

Named after Swiss mathematician Jacob Bernoulli (1654–1705), who discovered the numbers independently of and at about the same time as Japanese mathematician Seki Kōwa. The numbers first appeared as coefficients in Bernoulli's formulae for the sum of the first n positive integers, each raised to a given power. The sequence was subsequently found in numerous other contexts.

Questions about Bernoulli number

What does Bernoulli number mean?
Bernoulli number means any one of the rational numbers in a sequence of such that appears in numerous contexts, including formulae for sums of integer powers and certain power series expansions.
What is Bernoulli number in Tamil?
Bernoulli number in Tamil is பெர்னாலி எண். See Bernoulli number meaning in Tamil.
What part of speech is Bernoulli number?
Bernoulli number is a noun.
What is the plural of Bernoulli number?
The plural of Bernoulli number is Bernoulli numbers.

Words near Bernoulli number in the dictionary

  1. Bernoulli
  2. Bernoulli distribution
  3. Bernoulli distributions
  4. Bernoulli effect
  5. Bernoulli effects
  6. Bernoulli number
  7. Bernoulli numbers
  8. Bernoulli polynomial
  9. Bernoulli polynomials
  10. Bernoulli process
  11. Bernoulli processes

Source and license

Adapted from Wiktionary: Bernoulli number (page history and authors); bernoulli number (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “Bernoulli number.” Word.ws, https://word.ws/bernoulli_number. Based on Wiktionary, CC BY-SA 4.0.