We consider the problem of finding a condition for univariate polynomial having given multiplicity structure when number distinct roots is given. It well known that such conditions can be written as conjunctions several equations and one inequation in coefficients, by using repeated parametric gcd's. In this paper, we give novel which not based on Furthermore, it shown polynomials optimal degre...

We investigate the computational complexity of deciding whether a given univariate integer polynomial p(x) has factor q(x) satisfying specific additional constraints. When only constraint imposed on is to have degree smaller than and greater zero, problem equivalent testing irreducibility then it solvable in time. prove that monic factors properties NP-complete strong sense. In particular, any ...

In order to predict and forecast with greater accuracy, handling “missing values” in “time series” information is crucial. Complete accurate historical data are essential. There many research studies on multivariate time series imputation, however due the lack of associated factors, imputation univariate rarely taken into consideration. It natural that could arise because almost all scientific ...

bivariate features, obtained from multichannel electroencephalogram (eeg) recordings, quantify the relation between different brain regions. studies based on bivariate features have shown optimistic results for tackling epileptic seizure prediction problem in patients suffering from refractory epilepsy. a new bivariate approach using univariate features is proposed here. differences and ratios ...