Budan's theorem
Автор:
Jesse Russell,Ronald Cohn, 104 стр., издатель:
"Книга по Требованию", ISBN:
978-5-5089-9748-9
High Quality Content by WIKIPEDIA articles! In mathematics, Budan's theorem, named after F. D. Budan, is a little-known theorem for computing an upper bound on the number of real roots a polynomial has inside an open interval by counting the number of sign variations or sign changes in the sequences of coefficients. Since 1836, the statement of Budan's theorem has been replaced in the literature by the statement of an equivalent theorem by Fourier, and the latter has been referred to under various names, including Budan's. However, it is only the statement of Budan's theorem that forms the basis of the fastest method for the isolation of the real roots of polynomials and hence it deserves its own place in the history of mathematics. Данное издание представляет собой компиляцию сведений, находящихся в свободном доступе в среде Интернет в целом, и в информационном сетевом ресурсе "Википедия" в частности. Собранная по частотным запросам указанной тематики, данная компиляция построена по...
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