Package de.hdm_stuttgart.sd1.math

Class Math

java.lang.Object
de.hdm_stuttgart.sd1.math.Math
public class Math extends Object

Subset of functions from class Math using power series expansions.

  • Constructor Details

    • Math

      public Math()

  • Method Details

    • setSeriesLimit

      public static void setSeriesLimit(int seriesLimit)
      Parameters:
      seriesLimit - The last term's index of a power series to be included.

    • exp

      public static double exp(double x)

      Approximating the natural exponential function by a finite number of terms using power series expansion.

      \[ \begin{aligned} e^x ={} & 1 + {x\over 1!} + {x^2\over 2!} + {x^3\over 3!} + \dots \\ ={} & \sum_{i = 0}^\infty {x^i\over i!} \end{aligned} \] A power series implementation has to be finite since an infinite number of terms requires infinite execution time. The number of terms to be considered can be set by setSeriesLimit(int)}
      Parameters:
      x - The exponential's argument as in \( e^x \)
      Returns:
      The value \( e^x \) itself.