Translation of "Bernoulli number" into German

Bernoulli-Zahl is the translation of "Bernoulli number" into German.

Bernoulli number noun grammar

One of a sequence of coefficients of a power series which allow one to (relatively speedily) compute the error of a partial sum of some series (with respect to the limit of that series). In particular, if \pi^2 / 6 is expressed as the series \Sigma_{n=1}^\infty {1 / n^2} then the partial sum S_n = \Sigma_{k=1}^n 1/k^2 differs from the limit \pi^2 / 6 by an error E_n which is precisely expressible by the series B_0 / n + B_1 / n^2 + B_2 / n^3 + B_3 / n^4 + ..., where the sequence B_0, B_1, B_2, B_3,... is the sequence of Bernoulli numbers.

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  • Bernoulli-Zahl

    noun feminine
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