/// <summary>
/// now devoted to the sequence McLaurin of Exp: centered in zero, calculated in 1. Converges to Exp[1]==E.
/// Sono ridotte all'ordine "seed", della serie sopracitata.
/// </summary>
/// <param name="seed"></param>
/// <returns></returns>
public double f_SequenceEngine_McLaurinExp(double x, double kappa)
{
double res = 0.0;
RealField.AvailableAlgorithms.FactorialN FactorialInstance = new RealField.AvailableAlgorithms.FactorialN();
//
for (int c = 0; c <= kappa; c++)
{
res += Math.Pow(x, c) / FactorialInstance.f_Factorial(c);
}
//
return(res);
}// end f(x)
public double f_SequenceEngineSinX(double x, double kappa)
{
double res = 0.0;
RealField.AvailableAlgorithms.FactorialN FactorialInstance = new RealField.AvailableAlgorithms.FactorialN();
//
for (int k = 0; k <= kappa; k++)
{
res += Math.Pow(-1.0, k) * Math.Pow(x, 2 * k + 1) / FactorialInstance.f_Factorial(2 * k + 1);
}
//
return(res);
}