algebraic-equation.rd

[index]

# algebraic-eqation.rb

(Utility for algebraic equations)

Library of utiltity for algebraic equations

## File Name:

- algebraic-equation.rb

## Methods:

`Algebra::Polynomial#minimal_decompositon_field([fact0])`

  Same as Algebra.PolyDecompose(self [,fact0])).

`Algebra.MinimalPolynomial(element, poly1[, poly2[, poly3...]])`

  Returns the mimimal polynmial of element by the extention `poly1, poly2, poly3...`.

  Example: Get the mimimal polymial of the square root of 2 + the square root of 3 + the square root of 5.

      PQ = MPolynomial(Rational)
      a, b, c = PQ.vars("abc")
      p MinimalPolynomial(a + b + c, a**2-2, b**2-3, c**2-5)
      #=> x^8 - 40x^6 + 352x^4 - 960x^2 + 576