Parcourir par sujet "POLYNOMIALS"
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Counting the number of real roots in an interval with Vincent's theorem
(2010)It is well known that, in 1829, the French mathematician Jacques Charles Francois Sturm (1803-1855) solved the problem of finding the number of real roots of a polynomial equation f(x) = 0, with rational coefficients and ... -
Direct derivation of response moment and cumulant equations for non-linear stochastic problems
(2000)A relatively straightforward formulation is presented for deriving the differential equations governing the evolution of the response moments and cumulants of a dynamical system. This is a very general framework that applies ... -
Hardware-friendly Higher-Order Neural Network Training using Distributed Evolutionary Algorithms
(2010)In this paper, we study the class of Higher-Order Neural Networks and especially the Pi-Sigma Networks. The performance of Pi-Sigma Networks is evaluated through several well known Neural Network Training benchmarks. In ...