* * This computes correct results if all arithmetic performed is * without overflow. * * For additional documentation, * see Section 9.9 of * Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne. * * @author Robert Sedgewick * @author Kevin Wayne */ public class Polynomial { pr...
Translating the problem to higher order derivations there can be found a natural basis of compositions of derivations of order 1 by using moment generating functions. Applying the arithmetic of derivations we get a sharp upper bound, which isfor the order of derivation solutions under some condition...
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To focus exclusively on the polynomial algorithms and not the integer arithmetic, we repeat the first two problems with arbitrary-precision coefficients, each term in f 1 , g 1 , f 2 , g 2 is given a random positive integer coefficient using a coefficient bound. Table 1 shows the ...
GNU MP 6.0 Multiple Precision Arithmetic Library; Samurai Media Limited: Surrey, UK, 2015. [Google Scholar] Monagan, M.; Pearce, R. Polynomial division using dynamic arrays, heaps, and packed exponent vectors. In Proceedings of the CASC 2007, Bonn, Germany, 16–20 September 2007; Springer:...