Class Examples

java.lang.Object
edu.jas.poly.Examples
public class Examples extends Object
Examples for polynomials usage.

  • Constructor Details

    • Examples

      public Examples()

  • Method Details

    • main

      public static void main(String[] args)
      main.

    • example0

      public static void example0()
      example0. for PPPJ 2006.

    • example1

      public static void example1()
      example1. random polynomial with rational coefficients. Q[x_1,...x_7]

    • example2

      public static void example2()
      example2. random polynomial with coefficients of rational polynomials. Q[x_1,...x_7][y_1,...,y_3]

    • example3

      public static void example3()
      example3. random rational algebraic number. Q(alpha)

    • getPrime

      protected static long getPrime()

    • example4

      public static void example4()
      example4. random modular algebraic number. Z_p(alpha)

    • example5

      public static void example5()
      example5. random solvable polynomial with rational coefficients. Q{x_1,...x_6, {x_2 * x_1 = x_1 x_2 +1, ...} }

    • example6

      public static void example6()
      example6. Fateman benchmark: p = (x+y+z)^20; q = p * (p+1) Z[z,y,x]

    • example7

      public static void example7()
      example7. Fateman benchmark: p = (x+y+z)^20; q = p * (p+1) Q[z,y,x]

    • example8

      public static void example8()
      example8. Chebyshev polynomials T(0) = 1 T(1) = x T(n) = 2x * T(n-1) - T(n-2)

    • example9

      public static void example9()
      example9. Legendre polynomials P(0) = 1 P(1) = x P(n) = 1/n [ (2n-1) * x * P(n-1) - (n-1) * P(n-2) ]

    • example10

      public static void example10()
      example10. Hermite polynomials H(0) = 1 H(1) = 2 x H(n) = 2 * x * H(n-1) - 2 * (n-1) * H(n-2)

    • example11

      public static void example11()
      example11. degree matrix;

    • example12

      public static void example12()
      example12. type games.

    • example13

      public static void example13()
      example13. poly parser for strange syntax.

    • example14

      public static void example14()