Примери за използване на Bernoulli numbers на Английски и техните преводи на Български
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Where are Bernoulli numbers.
By 1739 Euler had found the rational coefficients C in(2n)= Cπ2n in terms of the Bernoulli numbers.
Where B are the Bernoulli numbers.
He wrote to Hill on 12 November 1912 sending some of Ramanujan's work anda copy of his 1911 paper on Bernoulli numbers.
Where are the Bernoulli numbers.
Elaborations on the points made by Menabrea, together with some complicated programs of her own,the most complex of these being one to calculate the sequence of Bernoulli numbers.
Where the Bs are Bernoulli numbers.
His closed form for the Bernoulli numbers; and his work on the length of the period of the continued fraction expansion of√N.
Where B2k are the Bernoulli numbers.
Faulhaber did not discover the Bernoulli numbers but Jacob Bernoulli refers to Faulhaber in Ars Conjectandi published in Basel in 1713, eight years after Jacob Bernoulli died, where the Bernoulli numbers(so named by De Moivre) appear.
Where Bn are the Bernoulli numbers.
The example she used was a program to compute Bernoulli numbers, III an exceedingly complex infinite series that in various guises plays a role in number theory.
Where the B nB_n are the Bernoulli numbers.
To show how the Analytical Engine could generate Bernoulli numbers, Ada described a sequence of operations and then made a chart showing how each would be coded into the machine.
Most noted are her notes on the Bernoulli numbers.
He turned to number theory and studied Bernoulli numbers and Fermat 's equation writing good textbooks on these topics.
Another joint project which Lehmer undertook with her husband was assisting Vandiver with his work on Fermat's Last Theorem, andtogether the Lehmers computed many Bernoulli numbers which Vandiver required in his work.
In 1905 Tamarkin and Friedmann wrote a paper on Bernoulli numbers which they submitted to Hilbert for publication in Mathematische Annalen.
In 1843, during the translation of a French article on the Analytical Engine, Ada Lovelace wrote, in one of the many notes she included, an algorithm to compute the Bernoulli numbers, considered to be the first computer program.
In 1905 Friedmann andTamarkin wrote a paper on Bernoulli numbers and submitted the paper to Hilbert for publication in Mathematische Annalen.
In 1843, during the translation of a French article on the Analytical Engine, Ada Lovelace wrote, in one of the many notes she included, an algorithm to compute the Bernoulli numbers, which is considered to be the first computer program.
In fact a fifteen page paper entitled“Some properties of Bernoulli Numbers” contributed by Ramanujan also appeared in the same 1911 volume of the Journal.
The reason that Milnor could use them to distinguish the differential properties of manifolds is because they have arithmetic properties,involving the Bernoulli numbers, which reflect in a deep and not fully understood way these differential properties.
Babbage himself took on one of the trickiest calculations- Bernoulli Numbers- and sent it to Ada to include in her work, but she detected and corrected what Babbage himself described as‘a grave error.'.
Where the Bk are the Bernoulli numbers.
After publication of a brilliant research paper on Bernoulli numbers in 1911 in the Journal of the Indian Mathematical Society he gained recognition for his work.
Where denotes the Bernoulli numbers.
Where the B's are the Bernoulli numbers and.
The first fifteen page article entitled"Some properties of Bernoulli numbers" appeared in the same volume of the Journal.