As a result, even though they were all competent at factorizing, expanding, solving and manipulating symbols in general, most could not cope with simple applied calculus problems.
we develop an extremely efficient polynomial root finder based on Newtons method that turns the perceived problem of chaotic dynamics into an advantage, factorizing polynomials of degree several million in a matter of minutes rather than months and providing a family of rational maps that are highly susceptible to combinatorial analysis, leading the way for an understanding of more general maps;
Also to simplify the analysis, we ignore the preprocessing costs of computing the deflation matrix W (not the algorithmic costs) and computing and factorizing [W.
Confirmatory factor analysis was carried out by Maximum Likelihood, factorizing from correlation matrix to contrast correlated factors and independent residuals models.
Implementations of popular public key encryption methods, such as RSA or El-Gamal [1] cannot provide suitable encryption rates, while security of these algorithms relies on the difficulty of quickly factorizing large numbers or solving the discrete logarithm problem, topics that are seriously challenged by recent advances in number theory and distributed computing.
