Package edu.jas.poly

Class Examples

  • public class Examples
extends java.lang.Object
    Examples for polynomials usage.

    • Constructor Summary

      Constructors 
      Constructor Description
      Examples()  

    • Constructor Detail

      • Examples

        public Examples()

    • 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.

      • example14

        public static void example14()