Package edu.jas.poly

Class Examples

  • public class Examples
extends java.lang.Object
    Examples for polynomials usage.
    Author:
    Heinz Kredel

    • Constructor Summary

      Constructors 
      Constructor Description
      Examples()  

    • Method Summary

      All Methods Static Methods Concrete Methods 
      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​(java.lang.String[] args)
      main.

      • Methods inherited from class java.lang.Object

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

    • Method Detail

      • main

        public static void main​(java.lang.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.