[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