Class Examples

java.lang.Object
edu.jas.poly.Examples
public class Examples extends Object
Examples for polynomials usage.
Author:
Heinz Kredel

  • Constructor Summary

    Constructors
    Constructor
    Description
    Examples()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    static void
    example0()
    example0. for PPPJ 2006.
    static void
    example1()
    example1. random polynomial with rational coefficients.
    static void
    example10()
    example10.
    static void
    example11()
    example11. degree matrix;
    static void
    example12()
    example12. type games.
    static void
    example13()
    example13. poly parser for strange syntax.
    static void
    example14()
     
    static void
    example2()
    example2. random polynomial with coefficients of rational polynomials.
    static void
    example3()
    example3. random rational algebraic number.
    static void
    example4()
    example4. random modular algebraic number.
    static void
    example5()
    example5. random solvable polynomial with rational coefficients.
    static void
    example6()
    example6.
    static void
    example7()
    example7.
    static void
    example8()
    example8.
    static void
    example9()
    example9.
    protected static long
    getPrime()
     
    static void
    main(String[] args)
    main.

    Methods inherited from class Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • 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()