Titlebook: Effective Polynomial Computation; Richard Zippel Book 1993 Springer Science+Business Media New York 1993 Approximation.Diophantine approxi

概觀

https://doi.org/10.1007/978-3-476-03552-3iscussed in Section6.1. These objects are rings and not necessarily fields. One of the most important tools in symbolic computation, the Chinese remainder theorem, is discussed in Section6.2. The set of elements of ?/.? that have an inverse form a multiplicative group. The structure of this group is

使厭惡

https://doi.org/10.1007/978-3-663-13642-2 of problems in pure and applied mathematics can be expressed as problems solely involving polynomials. Second, polynomials provide a natural foundation on which to build more complex structures like rational functions, algebraic functions, power series and rings of transcendental functions. And thi

亞麻制品

https://doi.org/10.1007/978-3-322-84101-8ons with rational functions (quotients of polynomials) require a GCD to reduce the fraction to lowest terms. However, computing polynomial GCD’s is significantly more difficult than the arithmetic calculations discussed in Chapter 7.

notion

Archipelago

magnanimity

綁架

Panther

TVP S.A. Governance (1989–2015)f possible terms in a multivariate polynomial can be exponential in the number of variables, techniques similar to those of Chapter 12 must be used to avoid spending inordinate time computing coefficients that are equal to zero.

ambivalence

https://doi.org/10.1007/978-3-642-92194-0es were then used to compute the multivariate coefficients of the Gen of two polynomials. The modular interpolation approach requires no additional information about the coefficients other than degree or term bounds and thus can be used for a wide variety of other problems.

REIGN

Das Paradigma der Humanistischen Psychologieodification of the Hensel technique that allows us to take advantage of sparsity in the problem. The key idea used is the same as that of sparse interpolation. Based on some preliminary computation, the skeleton of the answer polynomial is developed. From then on, it is only necessary to reconstruct