Unlike orthogonal polynomials, the Bernoulli polynomials are remarkable in that the number of crossings of the x-axis in the unit interval does not go up as the degree of the polynomials goes up. In the limit of large degree, the Bernoulli polynomials, appropriately scaled, approach the sine and cosine functions. In mathematics, the Bernoulli polynomials occur in the study of many special functions and in particular the Riemann zeta function and the Hurwitz zeta function. Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. This is in large part because they are an Appell sequence, i. e. a Sheffer sequence for the ordinary derivative operator.
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Книга по Требованию
|Existence Problems of Primitive Polynomials over Finite Fields Книга по Требованию Mateja P. |
This is achieved by separately considering the polynomials with second, third or fourth coefficient prescribed, and in each case developing methods involving the use of character sums and sieving techniques.
|Orthogonal Polynomials Книга по Требованию Frederic P. M. |
|Bernoulli process Книга по Требованию Frederic P. M. |
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.
|Loi de Bernoulli Книга по Требованию Frederic P. M. |
En mathematiques, la distribution de Bernoulli ou loi de Bernoulli, du nom du mathematicien suisse Jacques Bernoulli, est une distribution discrete de probabilite, qui prend la valeur 1 avec la probabilite p et 0 avec la probabilite q=1-p.
|Computer algebra in coding theory and cryptanalysis. Polynomial system solving for decoding linear codes and algebraic cryptanalysis Книга по Требованию Stanislav B. |
The original method for arbitrary linear codes, which in some sense generalizes the Newton identities method, is proposed.
|Additive polynomial Книга по Требованию Frederic P. M. |
High Quality Content by WIKIPEDIA articles!
|Polynomial Time Книга по Требованию Lambert M. S. |
Problems for which a polynomial time algorithm exists belong to the complexity class PTIME, which is central in the field of computational complexity theory. Cobham' s thesis states that polynomial time is a synonym for "tractable", "feasible", "efficient", or "fast". An algorithm is said to be polynomial time if its running time is upper bounded by a polynomial in the size of the input for the algorithm. In computer science, polynomial time refers to the running time of an algorithm, that is, the number of computation steps a computer or an abstract machine requires to evaluate the algorithm. High Quality Content by WIKIPEDIA articles!
|Elementary Symmetric Polynomial Книга по Требованию Frederic P. M. |
There is one elementary symmetric polynomial of degree d in n variables for any d ? n, and it is formed by adding together all distinct products of d distinct variables.